A sum of money is shared in the ratio of 2: 5 between Mark and Peter, respectively. If Mark got $200, how much money did Peter receive?

Answers

Answer 1

Answer:

Step-by-step explanation:

Set this up as a proportion of M:P

[tex]\frac{M}{P}:\frac{2}{5}=\frac{200}{x}[/tex] and cross multiply to solve for x:

2x = 1000 so

x = 500. Peter got $500


Related Questions

Do you have a step my step answer?

Answers

Answer:

In picture

Step-by-step explanation:

Hope I answered it correctly.

Please give me brainliest if it help you, thanks!

Please answer this question-

Answers

first, you arrange all the numbers in ascending sequence, you should get:

62, 64, 65, 65, 67, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 73, 72, 72, 73

yes and now you can see there are 20 values all arranged in ascending order. from here, you find the 2 middle values since it is an even number.

it should be value 10 and 11 which is number 69 and 70

now you find the average which is:

[tex]\frac{69+70}{2}[/tex] = 69.5

so your center value is 69.5.

i would like help in this question

Answers

Answer:

T = 3.5m

T is trash in pounds

m is members of family

Step-by-step explanation:

I believe the answer is T=3.5m

Three right triangles are drawn in the coordinate plane,
and the coordinates of their vertices are labeled.
For each right triangle, label the lengths of the sides.

Answers

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

[tex] SL_{A} = 8 - 5 = 3 [/tex]

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

[tex] LL_{A} = 2 - (-8) = 10 [/tex]

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

[tex] H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4 [/tex]

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

[tex] SL_{B} = 7 - 3 = 4 [/tex]

The LL is from (7, -9) to (7, 4)

The length of the LL is:

[tex] LL_{B} = 4 - (-9) = 13 [/tex]

The hypotenuse is:

[tex] H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6 [/tex]

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

[tex] SL_{C} = -1 - (-6) = 5 [/tex]

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

[tex] LL_{C} = -3 - (-10) = 7 [/tex]

The hypotenuse is:

[tex] H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6 [/tex]

I hope it helps you!

Use the drop-down menus to correctly relate each pair of numbers
manee help meh son

Answers

Answer:

Sorry for the late response, I had to have lunch.

1. >

2. =

3. <

4. >

Step-by-step explanation:

Have a great summer :)

whats the answer to this ​

Answers

Answer:

its the 2nd one

hope that helps<3

Answer:

jhkkkhj

Step-by-step explanation:

jkjkjkjkj

Evaluate 5-|-6|
1
11
-1

Answers

Step-by-step explanation:

(-) + (-) = (+)

=........ +1

Answer:

-1

Step-by-step explanation:

Enter the value of x so that the expression (1.8a−5.7)+(xa+3.2) is equivalent to −1.6a+2.5.

Answers

Answer:

That would be 11.4

Step-by-step explanation:

i've done this before

Giving bru list again

Answers

Answer:

8

The missing digit is going to be eight, because if we are rounding to the nearest tenth the 3 won't change anything.

Step-by-step explanation:

Have a nice day! :-)

Answer:

8

Step-by-step explanation:

because the 8 is on the tenths place and with three in the hundredths place I can't round up

2160 as a product of its prime factors using indices

Answers

Answer:

2⁴ × 3³ × 5

Step-by-step explanation:

By prime factorisation,

→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5

2160 = 2 × 3³ × 5

Find the exact value of sin2Θ if tanΘ=[tex]\frac{-2\sqrt{5} }{5}[/tex] and 90 < Θ < 180.

Answers

Answer:

[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]

Step-by-step explanation:

Identities used :

[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]

[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]

[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]

            [tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]

[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]

[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]

[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]

                 [tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]

    [tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]

[tex]Find \ sin 2 \theta[/tex]

[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]

        [tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]

Can someone help me? It's urgent and thank you!

Answers

Answer:

35

Step-by-step explanation:

To find this, we are going to use the combination formula as follows;

nCr = n!/(n-r)!r!

In this case, n = 7 and r = 3

Substituting these values;

7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35

Which values are solutions to the inequality below?
Check all that apply.
x²<=64
O A. 9
O B. 5
O C. -3
O D. -8
O E. -14
O F. 8

Answers

Answer:

B and C

Step-by-step explanation:

B is correct because 5² is 25, which is less than 64

C is correct because (-3)² is 9, which is less than 64

Answer:

b c d f

Step-by-step explanation:

-8 ≤ x ≤ 8

Point of intersection Question:

Mike has $9.85 in dimes and quarters. If there are 58 coins altogether,
how many dimes and how many quarters does Mike have? Use the point of intersection to find the answer. Explain how you used a formula to calculate the # of quarters and dimes

Answers

Answers:

He has  27   quarters and  31   dimes

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

Work Shown:

d = number of dimes

q = number of quarters

d+q = 58 since there are 58 coins of only these two types

d = 58-q

10d+25q = 985 .... note that 985 cents is $9.85

10(58-q)+25q = 985 .... replace d with 58-q

580-10q+25q = 985

15q+580 = 985

15q = 985-580

15q = 405

q = 405/15

q = 27 ..... Mike has 27 quarters

d = 58-q

d = 58-27

d = 31 .... Mike also has 31 dimes

-----------

As a way to check:

d+q = 31+27 = 58 so that works out

and

10d+25q = 10*31+25*27 = 310+675 = 985

so that works out as well. The answer is confirmed.

Can someone please help me out with this question

Answers

Answer:

C.

Step-by-step explanation:

Someone pleaseee help!!!
8th grade

Answers

Answer:

[tex] \frac{1}{1000} [/tex]

Step-by-step explanation:

[tex] {10}^{ - 3} [/tex]

[tex] \frac{1}{ {10}^{3} } [/tex][tex] \frac{1}{1000} [/tex]Hope it is helpful...

a + b3 - a ; a = 3, b = 2

Answers

Answer:

8

Step-by-step explanation:

a + b^3 - a

Simplify

b^3

Let b=2

2^3

8

Answer:

11

Step-by-step explanation:

If a = 3, and b = 2, then;

=> a + b³

=> 3 + 2³

=> 3 + 8

=> 11

Hope this helps!

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?
A. The value of x can be any real number, and y will be a real number.
B. The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C. The value of x can be any integer, and y will be an integer.
D. The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.

Answers

Answer:

Step-by-step explanation:

A?

The point in the middle of the coordinate plane is called the

Answers

Answer:

Origin

Step-by-step explanation:

The point in the middle of the coordinate plane is called the origin, this point is ploted as (0,0). The origin seprates all four quadrants in a coordinate plane.

Hope this helps:

Nathan

Oliver is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Oliver have to pay for parking if he left his car in the lot for 3 hours? How much would Oliver have to pay if he left his car in the lot for tt hours?

Answers

Answer:

A. 20

B. 11 + 3tt

Step-by-step explanation:

A.  11 + 3(3) = 20

B.  11 + 3(tt)

6. Tumigil si Jasmin ng 150 araw sa Taguig City dahil naabutan siya ng travel ban. Ilang buwan siya nanatili roon? *

Answers

150 but not enough information provided

decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction​

Answers

..........................................................................................................................................................................................................................................................................................................................................................................................................................................................

answer all the questions, just the answers, it's pythagorean theorem, plssss helpppp

Answers

Answer:

1. option c

2. option b

3. option b

Step-by-step explanation:

1 . option C

Square of longer side = sum of squares of other side

a)

5, 6 , 11

[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]

b)

9, 12, 16

[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]

c)

7, 24, 25

[tex]625 = 576 + 49\\Does\ satisfy[/tex]

d)

12, 20, 25

[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]

2. Option B

Square of longer side = sum of squares of other side

15 ² = 8 ² + r²

225 = 64 + r²

161 = r²

r = 12.688

r = 13ft

3 . Option b

To find length  of AB,  Use distance formula

[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]

    [tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]

A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds
and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were
shipped weighing 1280 pounds altogether. Determine the number of small boxes
shipped and the number of large boxes shipped.

Answers

Answer:

16 boxes large

Step-by-step explanation:

if the weigth is 1280 wilhich means its 1280÷80 =16

In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25

Answers

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

Convert 23cm2 into mm2

Answers

Answer:

2300 mm^2

Step-by-step explanation:

230 mm2 bc 1 cm2 is 100 mm2 (multiply by 100)

Can I get help on this bc if I don’t do it now my math teacher will call my parents

Answers

Answer:

39.28cm^2

Step-by-step explanation:

Simple work out the area of a circle and halve it.

3.142xr^2

3.142x5^2 = 78.55 cm^2 (Full circle area)

Now we must halve that answer to get the semicircle.

78.55/2 = 39.275 cm^2

However, we need it to 2dp. Therefore the answer is 39.28cm^2

Help me please i will give brainliest top one says find the mean

Answers

Answer:

1. 6

2. 3, 10

3. 7

4. 95%

5. 7.5

6. (I assume the chart is the same as the one above) 8

7. 8

8. 4

Step-by-step explanation:

Have a great summer :)

Answer:

Step-by-step explanation

to find median u ned to arrange the data from ascending to descending order

Data=3,3,4,5,6,7,9,10,10

Median=N+1/2   (N means no of data)

=9+1/2

=10/2

=5 th term

=6

Mode is 3 and 10 because they repeats maximum number of time.

range=largest value-smallest value

=10-3

=7

average =sum of data/no of data

=100+91+96+93/4

=380/4

=95

therefore average is 95.

A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°

Answers

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

Find the IQR: (find the median, then find the median of the first group and then the next group. Now subtract big median minus the small median.) 20, 17, 16, 3, 7, 45

Answers

Answer:

13

Step-by-step explanation:

The IQR = Interquartile Range is the difference between the first and third quartile

Rearranged data set:

3, 7, 16, 17, 20, 45

Step 1

We find the first quartile = Q1

= 1/4(n + 1)th number

n = 6

= 1/4(6 + 1)th

= 1/4(7)th

= 1 3/4th number

This = 7

Step 2

We find the third quartile = Q3

= 3/4(n + 1)th number

n = 6

= 3/4(6 + 1)th

= 3/4(7)th

= 21/4th number

= 5 1/4 th number

This = 20

Step 3

IQR = Q3 - Q1

= 20 - 7

= 13

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pasagot po please!!AP PO ITO MATINO PO SANANG SAGOT NEED KO!! What is the area of the parallelogram shown? 8 and 12 how many atoms of zirconium are in the molecule of zirconium sulfide After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.Required:a. Predict the exam score of a student who studies 2 hours.b. Interpret the slope.c. What is the mean score of students who did not study?d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours? define birth death migration Snake venom contains a mixture of enzymes, which include phospholipase that break down cell membranes, proteinases that destroy proteins, as well as amino acid oxidases and nucleotidases that break down the monomers for protein and DNA synthesis, which is why they can be so deadly. If you were bitten by a venomous snake you may be treated with an antivenom. In addition to antibodies that help your immune system recognize and fight the foreign molecules, what else does the antivenom most likely contain What is 1/5 + 7/8 PLS HELP ME if you help me Ill give you 20 points! The competitive force of new entrants into an industry is weak when Multiple choice question. existing industry members are looking to expand their market reach by entering new product areas. industry members will strongly contest the efforts of new entrants to gain market share. the pool of entry candidates is large. newcomers can expect to earn attractive profits. Using this chart, which country is MOST likely to have the highest standard of living? A) Kenya B) SudanC) Nigeria D) South Africa the chromosomal hereditary material is packaged in this organelle in eukaryotic cells but not in prokaryoitc cells. This organelle is called what is a claim/topic sentence for juvenile delinquency? pls answer asapppddddddd 1. The function below models the value of Tiana's car, where x representsthe number of years since she purchased the car. What is the rate ofgrowth or decay?*f(x) = 24,000. 0.88O Option 2 -88% GrowthO Option 3 -12% DecayO Option 1 - 88 % DecayO Option 4 - 12% Growth What two issues worried Austria in the years before WW1? n apneustic breathing, which is practiced by most marine mammals: A. A small amount of air is kept in the lungs before diving B. A large amount of air is kept in the mouth before diving C. Normal breathing is maintained before diving D. Several deep breaths are taken before exhaling and diving E. No actual breathing takes place before diving What is the answer I need helppppp 47 divided by 25, work it out step by step can someone pls help for brainlest 100 point!! Question song! You gotta keep 'em separatedLike the latest fashionLike a spreading diseaseThe kids are strappin' on their way to the classroomGetting weapons with the greatest of easeThe gangs stake their own campus localeAnd if they catch you slippin' then it's all over palIf one guys colors and the others don't mixThey're gonna bash it upHey - man you talkin' back to me?Take him outYou gotta keep 'em separatedHey - man you disrespecting me?Take him outYou gotta keep 'em separatedHey they don't pay no mindIf you're under 18 you won't be doing any timeHey, come out and playBy the time you hear the sirenIt's already too lateOne goes to the morgue and the other to jailOne guy's wasted and the other's a wasteIt goes down the same as the thousand beforeNo one's getting smarterNo one's learning the scoreYour never ending spree of death and violence and hateIs gonna tie your own ropeHey - man you disrespecting to me?Take him outYou gotta keep 'em separatedHey - man you talking back to me?Take him outYou gotta keep 'em separatedHey they don't pay no mindIf you're under 18 you won't be doing any timeHey, come out and playIt goes down the same as the thousand beforeNo one's getting smarterNo one's learning the scoreYour never ending spree of death and violence and hateIs gonna tie your own ropeHey - man you talkin' back to me?Take him outYou gotta keep 'em separatedHey - man you disrespecting me?Take him outYou gotta keep 'em separatedHey they don't pay no mindIf you're under 18 you won't be doing any timeHey, come out and play In "An Unexpected Trip", what is the setting of the story?A. a movie theaterB. the beaches of an enchanted islandC. a house in the countryD. a store that has stuffed animals