Marcus, Alaina, and Tory recorded the number of text messages
they sent on a certain day. Marcus sent 24 text messages, Alaina
sent 8 fewer messages than Marcus, and Tory sent twice as many
messages as Alaina. What is the ratio of the number of texts that Tory
sent to the total number of texts sent by all three friends?

Answer:

D and E ( the last two )

Step-by-step explanation:

[tex]x = 16 \: y = 4 \\ y = x - 12 \\ y = 16 - 12 = 4 \: ok \\ y = \frac{1}{4} x = \frac{1}{4} 16 = 4 \: ok \\ [/tex]

Answer:

this shouldnt be in math but the answer is c

Step-by-step explanation:

Answer:

Its 4!

Step-by-step explanation:

4×2=8

32/8=4

I dont really know if this is one of the options because I can't really see them. Would you mind typing in the options if im wrong? Thank you!

Hope this helps, and don't forget to follow!

Answer:

3 quarters and 19 nickles

Step-by-step explanation:

.

Answer:

-6

Step-by-step explanation:

-37+7=5w

-30=5w

w=-30÷5

w=-6

Answer:

w=-6

Step-by-step explanation:

-37=5w-7

-37+7=5w-7+7 (add 7 both sides)

-30/5=5w/5 (divide both sides by 5 to remove 5 and make it equal to w)

-6=w or w=-6

To verify the answer:

5(-6)-7

-30-7

-37

Answer:

1/2 go to 80

2 check 5 will go to 2 check 8

4 will go to 5/20

5 check 3 will go to 20

Step-by-step explanation:

Answer:

A(1,4) B(2,0) C(5,1)

Answer:

7......do you need explanation?

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

Answer:

90.

Step-by-step explanation:

Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.

So the product of other 3 factors should be greater than 16 and less than 20. And we can have it from 18 only. Hence the number is 90.

The numbers between 80 and 100 having factor 5 are

80,  85, 90, 95, 100

16 = [tex]2^{4}[/tex]

17 = 17

18 = 2× 3 × 3

19 = 19

20 = [tex]2^{2}[/tex] × 5

90 = 2 × [tex]3^{2}[/tex] × 5

Answer:

y = 10 and x =18

Step-by-step explanation:

From the parallelogram,

DH + HF = DF

x+2 + 2y = DF

Also DH = HF

x+2 = 2y

x - 2y = -2 .... 1

Also GH = HE

3x-3 = 5y+1

3x - 5y = 1 + 3

3x-5y = 4 .... 2

Solve  1 and 2 simultaneously

x - 2y = -2 .... 1 * 3

3x-5y = 4 .... 2 * 1

_____________

3x-6y = -6

3x-5y = 4

Subtract

-6y + 5y = -6-4

-y = -10

y = 10

Substitute y = 10 into 1

x- 2y = -2

x - 2(10) = -2

x - 20 = -2

x = -2+20

x = 18

Hence y = 10 and x =18

Answer:

I am not sure but A.69° . anything else but wrong answer sorry

Step-by-step explanation:

and thanks for you free points .

Answer:

śhĺò býò 1/2 ýāèd ļanid inch

Answer:

A cylinder is a solid figure with two parallel circles of the same size at the top and bottom. The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases.

Step-by-step explanation:

Formula: Since the base of a cylinder is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder.

Answer:

$3,993

Step-by-step explanation:

Answe

Step-by-step explanation:

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

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The graph represents Jason's speed on a recent trip. For which time ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

20

Least common multiple (LCM) of 4 and 10 is 20.

Answer:

20

Step-by-step explanation:

Answer: They are being multiplied by 2 each time

Step-by-step explanation:

2x2=4 4x2=8 8x2=16 16x2=32  

Answer:

They are being multiplied by 2 each time

Step-by-step explanation: hope it helps ^w^

Answer:

2

Step-by-step explanation:

(6*2.5)/6.5 = 30/13

Answer:I think its B 30/13

Step-by-step explanation:

I used a calculator

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

Answer:

35 c 36 d

Step-by-step explanation:

Answer:

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Step-by-step explanation:

So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:

[tex]y=10\sqrt[5]{x-2}[/tex]

Then, we switch all the y and x variables, like this:

[tex]x=10\sqrt[5]{y-2}[/tex]

Now, we solve for y to find the inverse function:

[tex]x=10\sqrt[5]{y-2}[/tex]

[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]

[tex](\frac{x}{10})^{5} =y-2[/tex]

[tex](\frac{x}{10})^{5} +2=y[/tex]

[tex]y=(\frac{x}{10})^{5} +2[/tex]

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Answer:

60

Step-by-step explanation:

The least multiple of 5 which is divisible by both 3 and 4 is 60

Answer:

h/2

Step-by-step explanation: