Use the least common denominator of 10 and 15 to solve 2/10+7/15 .

Answers

Answer 1

Answer: 2/3

Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.

We find the common denominator by finding

the common multiple for these 2 denominators.

Multiples of 10

1 x 10 = 10

2 x 10 = 20

3 x 10 = 30

Multiples of 15

1 x 15 = 15

2 x 15 = 30

As you can see, we have a common multiple of 30.

To get 30 in the denominator of 2/10, multiply top and bottom by 3.

To get 30 in the denominator of 7/15, multiply top and bottom by 2.

So we have 6/30 + 14/30 which is 20/30.

20/30 can be reduced to 2/3.


Related Questions

Work out the value of angle x

Answers

Answer: 166 degrees

======================================================

Explanation:

The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.

The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180

y+83+83 = 180

y+166 = 180

y = 180-166

y = 14

Angle x and y are supplementary. They form a 180 degree angle

x+y = 180

x = 180-y

x = 180-14

x = 166

As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.

3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Answer:

35

Step-by-step explanation:

3x2=6

or if x is variable :18

2x3=6

2x3=6

+5

add them all up:

18+6+6+5=35

let me know if something is confusing.

B) What is the value of f(n-1)?

Answers

Answer:

Add information

Step-by-step explanation:

According to mu understanding, this is the part (B) of the question. If you could provide the first part, I can complete it because some useful information is left out.

New York City is a popular feild trip destination. This year the senior
class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled
8 vans and 4 buses with 220 students. High School B rented and filled 12 vans and 4 buses with 228 students. Every van had the same
number of students in it as did the buses. How many students can a
van carry? How many students can a bus carry?​

Answers

Step-by-step explanation: look so if you have

shcool A its 8v+4b=12

and

School B: 12v+4b= 16

since both classes used 4 busses we can use elimination by subtracting the A class Equation from the b class equation to solve from v for its value Then, use either equation and the now found value for v to solve for b.

You should find part of the process to be

12v+4b-(8v+4b)=12-16 which shows the van holds only a few people even before continuing the solution.

Answer -4

HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)

Answers

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

Answer:

See below.

Step-by-step explanation:

[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]

HELPP PLEASE I’ll give a brainlist

Answers

The lowest you can go without adding fractions is four to three, but you can do two to a half too.

Is my answer correct?

Answers

Answer:

Your answer is correct

Step-by-step explanation:

SAS triangle is proven through b option.

Hope this helps....

Have a nice day!!!!

5/9 of a piece of metal has a mass of 7 kg. What is
the mass of the piece of metal?
No wrong answer or else I will report

Answers

Answer:

The mass of the metal is 12.6 kg

Step-by-step explanation:

Let the mass of the metal be x

From the question

5/9 of the metal is 7kg

That's

[tex] \frac{5}{9} x = 7[/tex]

Multiply through by 9

We have

5x = 7 × 9

5x = 63

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{63}{5} [/tex]

We have the final answer as

x = 12.6 kg

The mass of the metal is 12.6 kg

Hope this helps you

Rebecca is saving money to purchase a laptop, which costs $1,099.51. She has already saved $354.20 and plans to continue
saving $50.60 per week. Which inequality could be used to find w, the number of weeks that Rebecca must save in order to
purchase the laptop?
OA $354.20 + $50.60w < $1,099.51
OB. $354.20w+ $50.60 $1,099.51
OC $354.20 + $50.60w< $1,099.51
OD. $354.20 + $50.60w $1,099.51

Answers

Answer:

354.20 + 50.60w ≥ 1099.51

Step-by-step explanation:

354.20 + 50.60w ≥ 1099.51

what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6​

Answers

Begin by studying the pattern.

Notice that the difference between 0.8 and 1 is 0.2.

In other words, 0.8 + 0.2 is 1.

In the same way, 1 + 0.2 is 1.2.

1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.

So we can see that the difference

between each of the terms is 0.2.

Answer:

+.2

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

1 - .8 = .2

Check by subtracting the second term from the third term

1.2 - 1 = .2

The common difference is .2

A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p ​

Answers

Answer:

84%

Step-by-step explanation:

percentage of score in English=18/25*100

=72%.

72+p/2=78

72+p=156

p=84%

Mark me BRAINLIEST if helped

Tysm!

cual es el area de un rectangulo

Answers

Answer:

Use this formula:

a = b * h

Where: "a", the area of the rectangle is equal to its "b" (base), multiplied by "h" (height)

Step-by-step explanation:

Usa esta formula:

a = b * h

Donde: "a", el área del rectángulo es igual a su "b" (base), multiplicado por "h" (su altura).

If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?

Answers

Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

Kelly bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.

Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent.

Answers

Answer:

$1.60 a crate

Step-by-step explanation:

t= 95.94/(6x20)

(6x20)= 60

95.94/60

$1.60

Answer:

Step-by-step explanation:

i) Cost per box = cost of a crate ÷ Number of boxes in the crate

b = 95.94 ÷ 6

b = $ 15.99

ii) Cost per tile = Cost per box ÷ Number of tiles in a box

 t = b ÷ 20

 t = 15.99 ÷20

t = $ 0.7995

The expression 6(x − 5) means the . If x = 7, the value of the expression is

Answers

Answer:

Hey there!

6(x-5)

6(7-5)

6(2)

12

Hope this helps :)

Answer:

12

Step-by-step explanation:

Replace x by 7 in 6(x-5) to be able to evaluate the expression.

● 6(x-5)

● 6(7-5)

● 6 × 2

● 12

So the expression is equal to 12 when x=7

How many positive even factors of 48 are greater than 24 and less than 48

Answers

Answer: 0

Work Shown:

Factors of 48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}

Erase the odd numbers of that list to get {2, 4, 6, 8, 12, 16, 24, 48}

Then highlight stuff that is greater than 24, and less than 48 at the same time.

No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself.

Answer: 0

Step-by-step explanation:

There is no number greater than 24 and less than 48.

Evaluate the following expression.
10^7 + 9 + 1^3 =

Answers

Anjdjdnjadnosepsjkdsksksks

bzjd

There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)

Answers

Answer: Please Give Brainliest. Thank You!

10 more

The number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.

Let the number of seventh-graders to be added be x.

So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x

Thus, the percentage of seventh graders in the club is thus

[tex]\frac{20 + x}{65 + x} X 100[/tex] %

Since this percentage equals 40 %, we have that

[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %

[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]

Cross-multiplying we have

[tex]20 + x = 0.4(65 + x)[/tex]

Expanding the bracket, we have

[tex]20 + x = 26 + 0.4x[/tex]

Subtracting 20 from both sides we have

[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]

Subtracting 0.4x from both sides, we have

[tex]x - 0.4x = 6\\0.6x = 6[/tex]

dividing both sides by 0.6, we have

x = 6/0.6

x = 10

So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Learn more about percentages here:

https://brainly.com/question/23127071

Write an expression for the shaded area

Answers

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

12x + 4y = 152 32x + 12y = 420 what is y?

Answers

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests. The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.

Answers

Answer:

Answer on Edmentum! :)

Step-by-step explanation:

Hope this helps!

The number of children were 172 and number of  adults were 278.

What is linear equation?

An equation that makes a straight line when it is graphed.

Given that, A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests

According to question,

12x+25y = 9014

x+y = 450

Solving using elimination method, we get,

x = 172 and y = 278

Hence, The number of children were 172 and number of  adults were 278.

For more references on linear equation, click;

https://brainly.com/question/11897796

#SPJ5

Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?

Answers

50 plants total, 40% are vegetables

40% = 40/100 = 0.40

40% of 50 = 0.40*50 = 20

Answer: There are 20 vegetable plants

WILL MARK BRAINLIEST!!!!20 POINTS!!!!URGENT!!!

Answers

Answer:

the firsts third and last one

Step-by-step explanation:

hope this helped

Pls answer I really need help
Brainlist and thank you will be the reward thank you so much!!!

Answers

Answer:

0.667 ✅

Step-by-step explanation:

This is best solved using a proportion.

The formula is soy/vinegar = soy/vinegar where one of these is a variable.

Here we have:

[tex]\frac{150}{100} = \frac{1}{x}[/tex]

Now, we solve this by cross multiplying.

150x = 100

Dividing both sides by x, we get x = 2/3 or about 0.667.

Checking:

[tex]\frac{150}{100} = \frac{1}{0.667}[/tex]

1.5 = 1.5 ✅

I'm always happy to help :)

Which equation can be used to find x, the length of the hypotenuse of the right triangle?

Answers

Answer:

[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]

To Find:

Length of hypotenuse of the right triangle i.e. x

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

[tex] \therefore [/tex]

[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]

Answer:

18²+24²=x²

Step-by-step explanation:

to answer this question you must know Pythagorean theorem

a^ 2+b^2 =c^2

a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²

what is the coefficient of x in the equation of 32+2x=10
solve after finding the coefficient

Answers

Answer:

x= -11

Step-by-step explanation:

the coefficient is variable that appears before a number . bearing this in mind, the coefficient of x is therefore 2 .

the value of x is:

>32+2x=10

>2x=10-32

>2x= -22

>x= -11

Answer:

Step-by-step explanation:

Coefficient of x = 2

32 + 2x  = 10

Subtract 32 from both side

32 + 2x -32 = 10 - 32

              2x =  - 22

Divide both sides by 2

            2x/2 = -22/2

x = -11

A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?

Answers

Answer:

The total number of cups in arranged in an hexagonal area = 19 cups

Step-by-step explanation:

The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.

Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;

The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups

The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups

The total number of cups = 19 cups.

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

Answers

Answer:

[tex]y = \frac{-3}{4}x + 36[/tex]

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

[tex]m = \frac{-3}{4}[/tex]

where,

c = 36 inches

So, the function is

[tex]y = \frac{-3}{4}x + 36[/tex]

Answer:

Answer is A

Step-by-step explanation:

What is the decimal equivalent of 16/3 ?
A. 5.3
B. 0.1875
C. 53333...
D. 16.3

Answers

Answer:

c. 5.333...

Step-by-step explanation:

When converting fractions into decimals, all you have to do is that you have to divide the numerator by the denominator. In this case, we will get 16 divided by 3. If we do this, we will get 5 and 1/3. One third in decimals is 0.3333... so the answer is 5.333...

The decimal 5.33 will be equivalent to 16/3 so option (A) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the fraction of 16/3

So divide 16 by 3

16/3 = (15 + 1 )3

⇒ 15/3 + 1/3

⇒ 5 + 0.333

⇒5.3

Hence "The decimal 5.33 will be equivalent to 16/3".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?

Answers

Answer:

[tex]\dfrac{1}{6561}[/tex]

Step-by-step explanation:

Given the expression [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex], Using the laws of indices to simplify the expression. The following laws will be applicable;

[tex]a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\[/tex]

[tex]a^{-m} = 1/a^m[/tex]

Given [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex]

open the parenthesis

[tex]= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}[/tex]

Other Questions
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x y=6?A (-2,2)B. (2.-2)C. (-2,-2)D. (2, 2) kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years.a. write down an expression, interns of x,for how much old is Kofi than kweku.b. if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku Ikyume is 62m away from Amadi, on a bearing of 012. Becky is 42m away from Ikyume and on bearing of 082. How far is Amadi from Becky, and on what bearing? Granger Inc. Comparative Balance Sheets December 31Assets 2017 2016Cash $80,800 $48,400Accounts receivable 87,800 38,000Inventory 112,500 102,850Prepaid expenses 28,400 26,000Long-term investments 138,000 109,000Plant assets 285,000 242,500Accumulated depreciation (50,000) (52,000)Total $682,500 $514,750Liabilities and Stockholders' Equity Accounts payable $102,000 $67,300Accrued expenses payable 16,500 21,000Bonds payable 110,000 146,000Common stock 220,000 175,000Retained earnings 234,000 105,450Total $682,500 $514,750Granger Inc. Income Statement Data For the Year Ended December 31, 2017Sales revenue $388,460Less: Cost of goods sold $135,460 Operating expenses, excluding depreciation 12,410 Depreciation expense 46,500 Income tax expense 27,280 Interest expense 4,730 Loss on disposal of plant assets 7,500 233,880Net income $154,580Additional information: 1. New plant assets costing $90,000 were purchased for cash during the year. 2. Old plant assets having an original cost of $51,750 and accumulated depreciation of $43,650 were sold for $1,350 cash. 3. Bonds payable matured and were paid off at face value for cash. 4. A cash dividend of $23,427 was declared and paid during the year.Required:Prepare a statement of cash flows for Granger Inc. using the direct method. HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use? "A mutual fund manager of a "high technology" fund feels that the market for this sector will remain flat in the next coming months and he wishes to generate some additional income against his portfolio. The best strategy is to sell:" TRBP is a protein important for the formation of the RISC complex. Which of the following would you expect in cells with null mutations in TRBP? a. Reduced siRNA-mediated mRNA degradation b. Increased miRNA-mediated translational repression c. Increased deadenylase-mediated mRNA degradation d. Reduced proteasome-mediated protein degradation Polymers formed from amino acids are called _____. proteins carbohydrates lipids nucleic acids 11,9,7,5,3,1,B) Common Difference:Recursive Function:D) ExplicitFunction: Following antigenic stimulation, phosphorylation of _________ relieves inhibition of the transcription factor In the second raffle, winning tickets are prime numbers. Click on the winning tickets. 11 71 66 18 22 15 19 49 60 9 75 1 45 88 67 72 30 16 99 43 Examine five (5) challenges threateningthe sustainable development of places likeAccra, Kumasi, Tokoradi and Tamale. True or False: Transactions that result in significant investing and financing activities bu that do not involve cash are reported either directly after the statement of cash flows or in a note to the financial statements Read the following quote and answer the questions below: "We'll give you one kid to take with you to show we can get them out," Roberts said. "You already have one of them?" Marla asked. "We have all of them," Roberts said, glancing toward Miller. "They were kidnapped as a favor to us." "So it's true, we can't be trusted?" Miller asked. "After the war, we'll sit down and have a drink someplace," Roberts said. "We get a good enough buzz on, we'll talk about the philosophy of war. Until then we'll do what we have to do to keep our people alive." 1. What has the Unit just discovered in this exchange? A. the U.S. Military has been engaged in lying and manipulating civilians in Iraq B. the goal of being is Iraq has been to take control of the people and the country C. the Unit is likely to suffer casualties during the mission D. All of the answers are correct. 2. According to the quote, what is Roberts's priority in Iraq? A. to continue to promote democracy in the region B. to keep American soldiers safe C. to protect Iraqi children D. to secure and stabilize the country 3. What does Roberts mean by "philosophy of war" in this quote? A. He is referring to the discussion of what is acceptable and unacceptable in war. B. He is talking about the Rules of Engagement cards. C. He is referring to the military training manuals that soldiers read at the start of the war. D. He is implying that more historical study needs to be done on why they are at war. When 7-year-old Jacob is asked why giraffes came to exist, he is MOST likely to use _____ in his explanation. Group of answer choices the definition of parallel lines requires the undefined terms line and plane by the definition of perpendicular lines requires the undefined terms of line and point. what charcteristics of these geometric figures create the different requirements? Select the correct answer. Which sentences contain imagery? Check all that apply.The musky, smoky odor wafted from the glowing fireplace.The car's bright headlights twinkled in the distance.Miguel decided to visit his grandmother yesterday.Eric's eardrums shuddered in rebellion at the bird's screeching.The train stopped at Hanson Station every day. I need help with this math problem please (3x+2)(5x-7) 0.58333333333 as a whole number