Answer:
10x + 35
Step-by-step explanation:
Given
5(2x + 7) ← multiply each term in the parenthesis by 5
= 5(2x) + 5(7)
= 10x + 35
Answer:
10x+35
Step-by-step explanation:
5×2x=10x
5×7=35
=10x+35
Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?
Answer:
1/12 of the lasagna was left
Step-by-step explanation:
To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).
Answer:
[tex]\frac{1}{4}[/tex] of the lasagna
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]
4 = 2 × 2
3 = 3
6 = 2 × 3
LCM = 2 × 2 × 3
LCM = 12
4 × 3 × 6 = 72
[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]1-\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?
Answer:
Step-by-step explanation:
Step 1
Find the fraction of the money he gave the charity
Let the total amount he had = 1
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.
Fraction of money he gave to charity =
1 - (4/5 + 3/4 + 2/3)
He gives the remaning $50,000 to a charity. How much did he win?
Please help thank you! Sorry for spamming
Answer:
B
Step-by-step explanation:
because of order if operations.
Answer:
B
Step-by-step explanation:
The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.
If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.
Complete the equation describing how x and y are related.
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles
The distance travelled by the Lucas will be equal to 105 miles.
What is an average speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
The average speed is defined as the total distance travelled by train in total time.
Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.
Time = 105 minutes = 105 / 60 = 1.75 hours
The distance travelled by train will be calculated as,
Distance = Speed x Time
Distance = 60 x 1.75
Therefore, the distance travelled by Lucas will be equal to 105 miles.
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Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
Can 17, 9, and 11 be the side lengths of a triangle?
Answer:
No it cant
Step-by-step explanation:
You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
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Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
Help please! I really need it
Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
pa help po............. ............
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
can some one answer please
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)
Answer:
interest per annum is 280
interest for 2 year is 560
Step-by-step explanation:
money deposited in bank = 4000
1persent of 4000 = 40
7 persent of 4000 = 280
interest for 2 year is 280 x 2 = 560
Mark me as BrainestA force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
[tex]P=1259.26N/m^2[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]F=68N[/tex]
Area [tex]A=540cm^2=0.054m^2[/tex]
Generally the equation for Pressure is mathematically given by
[tex]P=\frac{F}{A}[/tex]
[tex]P=\frac{68}{0.054}[/tex]
[tex]P=1259.26N/m^2[/tex]
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx
Answer:
sinx= d/f
cosx= e/f
tanx= d/e
In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
Divide (16m³-10m²+2m)÷2m
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]
[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅
Step-by-step explanation:
[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
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Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?
Answer:
18 gallons
Step-by-step explanation:
First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
math pls pls help help no trolls i really need this grade
Answer:
The second one is 3 and the third one is 8
Step-by-step explanation:
Just trust me
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
i think of a number, multiply it by 3, add 4 and square the answer
Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?
Answer:
1/2 chance
Step-by-step explanation:
5 and 10 can be divided down to 1/2
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
