Sarah and Henry share some sweets in the ratio 5:6 .
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2 .
How many sweets did Henry have?

Answers

Answer 1
5/6 = 16/X — cross multiple
5X = 96

X = 96/5
X = 19.4

19.4 x 2 = 38.4
Round up = 39 pieces of Candy

Related Questions

Find the slope of the line through each pair of points.

1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (20, 8), (9, 16)

Answers

Step-by-step explanation:

1)

[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]

[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]

[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]

[tex] \frac{ + 1}{ - 23} [/tex]

[tex] - \frac{1}{23} [/tex]

2)

[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]

[tex] \frac{ - 11}{ - 2} [/tex]

[tex] + \frac{11}{2} [/tex]

3)

[tex] \frac{16 - 8}{9 - 20}[/tex]

[tex] \frac{6}{ - 11} [/tex]

[tex] - \frac{6}{11} [/tex]

find the area of Rhombus if its diagonals measure 18 cm and 21 cm​

Answers

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

Are 5 and 0.5 Equal to Each other?

Answers

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

No it is not equal one is in the tenths place

8. Find the x and y intercepts. 6x + 12y = 24 ​

Answers

Make it slope intercept form
12y = -6x + 24
Divide by 12
Y = -1/2x + 2
Plug in 0 for x, y intercept = 2
Plug in 0 for y, x intercept = 4
X int = 4, y int = 2

Answer:

x - intercept: 4

y - intercept: 2

Step-by-step explanation:

The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.

The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.

(4+2k)⋅6+3k and cant solve it plz help

Answers

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

Use technology to find the​ P-value for the hypothesis test described below. The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean is μ=11.00 Mbps. The sample size is n=14 and the test statistic is t=1.484. ​P-value=nothing ​(Round to three decimal places as​ needed.)

Answers

Solution :

The null and alternative hypothesis is given by

[tex]$H_0: \mu = 11$[/tex]

[tex]$H_a: \mu \ne 11$[/tex]

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

100 points please help

Answers

Answer:

She has $3.74 in quarters. I'm kind of confused but hopefully this helps??

Step-by-step explanation:

0.75 x 5= $3.75

$3.75/0.25= 15 quarters

Answer:

l

Step-by-step explanation:

Will give crown help

Answers

Answer:

slope=-2

Step-by-step explanation:

Slope = Rise over Run

Here the rise is -4 units and run is 2 units

Therefore,

-4/2 =-2

Hope this helps!

Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)

Answers

B,D,E is the answer for sure

does this graph show a function. explain how you know.

Answers

Answer:

its should be A because theres no vertical line that looks like that lol

Answer:

A.  The graph fails the vertical line test, I think.

Step-by-step explanation:

PLEASE HELP ITS HARD ALGEBRA I WILL MARK BRAINLIEST IF U GET IT RIGHT
Estimate the solution to the following system of equations by graphing.

3x+5=14
6x-4y=9

A. (7/3, 7/2)
B. (4/3, 5/2)
C. (5/2, 4/3)
D. (-5/2, -7/2)

Answers

Answer:

C

Step-by-step explanation:

13. Puan Zakiah bought a house at price RM380 000 by cash. After 5 years, she sold the house at price RM620 000. The total charges involved in sales and purchase agreement
was RM42 000. Calculate the return on investment of Puan Zakiah.

A 49.5%
C 56.9%
B 52.1%
D 74.2%​

Answers

I’m pretty sure it’s C

Help!! 10 pts and brainliest!

Answers

Answer:

99 square units

Step-by-step explanation:

The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.

Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.

original area = 11 square units

scaled area = 9 * 11 square units = 99 square units

In ΔMNO, m = 89 inches, n = 30 inches and o=71 inches. Find the measure of ∠M to the nearest degree.

Answers

Answer:118

Step-by-step explanation:

Trust me

In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the measure of angle ∠M, we need to use the law of cosines, which states that:

c² = a² + b² - 2ab cos(C)

To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:

m²= n² + o² - 2no cos(∠M)

Substituting the given values, we get:

89² = 30² + 71² - 2(30)(71) cos(∠M)

Simplifying and solving for cos(∠M), we get:

cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))

cos(∠M) = -0.4402

To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:

∠M = 118.7 degrees

Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Just need help with 6 please

Answers

Answer:

Congruent, SSS

Step-by-step explanation:

The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.

Hope this helps :)

The local car dealership has noticed a 3:1
ratio for people purchasing SUV's to those
purchasing trucks. If they have room for
128 trucks and SUV's on their lot, how
many trucks should they have available to
sell?

Answers

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

32 trucks be safe! Out there!

How do you decide which rational number operations to use to solve problems.

Answers

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

If a relation has more numbers in its range than in its domain, what has to be true?

Answers

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

true or false im dumb sorry

Answers

Answer:

False

Step-by-step explanation:

Tell me if you need an explanation

Answer:

it's false.

4×4×4= 64.

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

882-28282=9191

Step-by-step explanation:

You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.

Answers

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

please help me answer this!! geometry

Answers

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

ASAP HELP NOW FOR BRAINLIEST

Answers

Answer: 18 miles per hour

Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.

Determine the negation of the following statement:

x is not equal to 50.

Answers

Any more details? I cannot know if you don’t have any more details for me

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?

Answers

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

can someone please help me out its due very soon,

Answers

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

Complete the equation of the line whose slope is -2 and y intercept is (0,-8)

Answers

Answer:

y=-2x-8

Step-by-step explanation:

.Write the following number in word form: 735.009

Answers

Answer: seven hundred thirty-five thousand, nine

Step-by-step explanation:

If i remember that should be the answer hope it helps

Circumference of the circle

Answers

Step-by-step explanation:

The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.

In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)

Answer:

61.2

Step-by-step explanation:

circumference= 2πR

r=d/2

r= 19.5/2

r=9.75

circumference= 2×3.14×9.75

circumference= 61.2

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