Use the number line below, where RS = 4y + 2, ST = 3y + 7, and RT = 44.
a. What is the value of y?
b. Find RS and ST.

Answers

Answer 1

Answer:

Y = 5

Step-by-step explanation:

RT = RS + ST

44 = 4y + 2 + 3y + 7

44 -2 -7 = 7y

35 = 7y

y = 5


Related Questions

the librarian purchased 22 copies of the best for $385.66 how much did each copy of the book cost

Answers

Answer:

$17.53

Step-by-step explanation:

$385.66÷22=$17.53

Please answer ASAP question is in pic^

Answers

Answer:

Step-by-step explanation:

Original equation

    √x+6-4 = x

   Isolate

    √x+6 = 4+x

Raise both sides to the second power

    (√x+6)2 = (4+x)2

    After squaring

    x+6 = x2+8x+16

Rearranged equation

    x2  + 7x  + 10 = 0

    This equation has two rational roots:

      {x1, x2}={-2, -5}

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -2 for  x  

     √(-2)+6 = 4+(-2)

     Simplify

     √4 = 2

     Solution checks !!

    Solution is:

     x =  -2

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -5 for  x  

     √(-5)+6 = 4+(-5)

     Simplify

     √1 = -1

     Solution does not check

     1 ≠ -1  

     

Given: g(t) =t+5 and h(t) = 3t-2
Find: (goh)(-4+t)

Answers

Answer:

3t - 9

Step-by-step explanation:

Given:

g(t) = t + 5 and h(t) = 3t - 2

Find the composite function (g·h)(t):

(g·h)(t) = g(h(t)) = (3t - 2) + 5 = 3t + 3

Find (g·h)(-4 + t):

(g·h)(-4 + t) = g(h(-4 + t)) = 3(-4 + t) + 3 = -12 + 3t + 3 = 3t - 9

The given information is,

→ g(t) = t + 5

→ h(t) = 3t - 2

Now we have to,

find the composite function (g•h)(t),

→ (g•h)(t)

→ g(h(t))

→ (3t - 2) + 5

→ 3t + 3

Let's find the (g•h)(-4 + t):

→ (g•h)(-4 + t)

→ g(h(-4 + t))

→ 3(-4 + t) + 3

→ -12 + 3t + 3

→ 3t - 9

Hence, the value is 3t - 9.

1/4(x-2)+4=12 can someone explain how to solve for x by steps?

Answers

¼(x - 2) + 4 = 12 / · 4

x - 2 + 16 = 48

x + 14 = 48

x = 48 - 14

x = 34

Unit rate $46 for 5 toys

Answers

Answer:

$9.20

Step-by-step explanation:

you divide 46 by 5 and you get 9.20

Answer:

9.50

Step-by-step explanation:

$46 divided by 5 which equals $9.50

which parts of the number line represent the factors? which part shows the product?

Answers

Answer:

The lines on the number line represent the factors. The product is the arrow

Step-by-step explanation:

my explantion is in the answer ig

Adding with missing numbers Grade 6 Addition Worksheet Find the missing numbers. + 91 + 5623 + 911 = 6630 ​

Answers

Step-by-step explanation:

let the no. be x

x+91+5623+911=6630

or,x+6625=6630

or,x=6630-6625

ans=5

If we have +91+5623+911=6630 Then,91 +5623 +911 =6625Now,sub 6625 from 6630 6630 -6625 = 5Now,add 6625and 5 6625+5 =6635therefore,we have to +5 to get ans:6630

Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.

Answers

Answer:

D. none

Step-by-step explanation:

to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.

use the area of a rectangle and the Distributive
Property to find each product.
9 X 34

Answers

Answer:

Step-by-step explanation:

Write 34 in tens and units.

34 = 30 + 4

9(30 + 4)

9 * 30 = 270

9* 4 = 36

270 + 36 = 306

After awhile if your practice enough, you can do them in your head.

Four times the sum of twice a number and -3 is less than times that same number

Answers

four times the sun of twice a number and -3

A baby panda born at a national zoo weighed 8 ounces at birth and reached 75 pounds
at one year
What was the panda's growth rate per month? Per week?
of age.

Answers

Here, we need to find the monthly and the weekly growth rate

The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces

Weight at birth = 8 ounces

Weight at one year =75 ounces

1 pound = 16 ounces

75 pounds = 1200 ounces

Additional weight after birth = Weight at one year - Weight at birth

= 1200 ounces - 8 ounces

= 1,192 ounces

There are 12 months in a year

Growth rate per month = Additional weight after birth / 12

= 1,192 / 12

= 99.33 ounces per month

There are 52 weeks in a year

Growth rate per week = Additional weight after birth / 52

= 1,192 / 52

= 22.9 ounces per week

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What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse

Answers

Answer:

y = -2

Step-by-step explanation:

3(y-2)=2y-8

3y - 6 = 2y - 8

y - 6 = -8

y = -2

n - 5.5 = 8.3 please help ASAP

Answers

The answer to the question is 13.8

Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

Consider the function f whose graph is shown below. Find f(-2)

Answers

Answer:

Step-by-step explanation:

See the picture below

If a and b are natural numbers, then which of the following must also be a natural number?

Answers

Answer:

please give options for answer.

how to solve 8 – 6 ∙ 4 + 10 ÷ 2 =​

Answers

Answer:

3

Step-by-step explanation:

apply the BODMAS method

length of the ribbon is 120 M. what is the length of 7/15 of the ribbon?

Answers

Answer:

56 M

Step-by-step explanation:

Reduce fractions to their lowest terms equivalents

Multiply the numerators and denominators of the fractions separately

[tex]\frac{7}{15}[/tex] * 120 = convert to fraction

[tex]\frac{7}{15}[/tex] * [tex]\frac{120}{1}[/tex] = convert to fraction

[tex]\frac{7 * 120}{15}[/tex] = apply fraction rule  [tex]\frac{a}{b}[/tex] * [tex]\frac{c}{d}[/tex] = [tex]\frac{a * c}{b * d}[/tex]

[tex]\frac{7 * 120}{15 *1}[/tex] = apply rule a * 1 = a  15 * 1 = 15

[tex]\frac{120}{15}[/tex] = 8 divide the numbers

7 * 8 = 56 multiply the numbers

Find the radian measure of the central angle.

Answers

Answer:

in radian measure

theta=length of arc /radius

so a=l/r

a=56/70

a=4/5

Step-by-step explanation:

a= theta angle in radian

Nolan and his children went into a grocery store and he bought $8 worth of apples
and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as
many bananas as apples. By following the steps below, determine the number of
apples, 2, and the number of bananas, y, that Nolan bought.

Answers

    To solve this problem form the system of equations first, then solve them to find the values of the variables.

  Nolan bought 2 apples and 10 bananas.

It's given that,

Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

               Therefore, Nolan bought 2 apples and 10 bananas.

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A store advertises “buy one, get one half-off" for a new pair of figure skates. If the skates originally cost
$88, how much would you pay for 10 pairs

Answers

 A store advertises,

"Buy one and get one half off"

Which means if we buy one, half the price of one will be discounted.

In other words "50% discount on each item we buy"

We will $440 for 10 skates.

Original cost of skates = $88

After 50% discount price of one skate = $88 - $44 = $44

Cost of 10 pairs of skates = 44 × 10

                                           = $440

     Therefore, we will pay $440 for 10 skates.

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Helppppp meeeeeeeeeeeehhhh

Answers

Answer:

9.00002 and 0.009 igs I am trying my best to understand lol

One angle of a triangle measures 102°. The other two angles are congruent.

Enter and solve an equation to find the measure x of the congruent angles.

An equation is_______ = 180.

The congruent angles each measure _______°.

Answers

Answer:

if i am rightthe two other angles arre 39

Step-by-step explanation:

if a triganle is 180 degrees and you have already one angle then all you do is subtract 180 and 102

180-102= 78

then since you need the other two angles all you do is divide it by 2

so 78/2= 39 so the two missing anlges are 39

Evarado paid $1.12 for a doszen eggs at his local grocery store. Determine the cost of the eggs

Answers

Answer:

of a single egg or?

Step-by-step explanation:

what is
3. {Review} 8 x 9 = *
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *

Answers

Answer:

3. 72

4. 48

5. 56

6. 18

7. 45

8. 48

9. 9

10. 6

11. 11

12. 10

13. 7

14. 5

seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number

Answers

We’ll break this down:

“7 subtracted from” means you’ll take 7 away from something.

That something is “the product of 4 and a number.”
Product means multiplication, so you need to multiply 4 and a number, which you’re told to call C.
“The product of 4 and a number” becomes 4•C or just 4C.

Putting those together “seven subtracted from the product of 4 and a number” becomes:
4C-7

“Is at most” also can be stated as “no more than.” This means your 4C-7 cannot be bigger than 26. If it cannot be bigger than 26, then it needs to be less than or equal to 26.

4C-7 ≤ 26.

List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256}

Answers

All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.

The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.

There are two methods to represent the set and its elements that are:

Set notation: define the elements and properties of sets using symbols that help in describing the relationship between elements in the set.

in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,

so the set notation would be :

= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}

listing method:  simple method that include the members or elements of the set are written as a list, separated by the comma and enclosed within the curly braces.

The listing method:  {2, 4, 8, 16, 32,64, 128, 256}\

Thus, the above mention set is all the elements of the set.

Learn more about set notation:

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If sin (A + B) = 1 and cos (A - B) = 1, find A, B​

Answers

Step-by-step explanation:

sin (A + B) = 1 =sin 90

A+B=90 equation 1

cos (A - B) = 1=cos 0

A-B=0 equation 2

add 1 and 2

2A=90 A=45

2B=90 B=45

The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

-2
-4
2

Answers

I have no idea I think it -4

Answer:

n = 2; the number equals two

Step-by-step explanation:

n/2 = 2n - 3

2/2 = 2(2) - 3

1 = 4 - 3

1 = 1

n = 2

What is m∠A? ???????

Answers

Answer:

A=124°

Step-by-step explanation:

5x - 5 = 180

5x = 185

x = 37

A=124

Through calculations, Jack and Kelsey estimated the diameter of the fountain in the park. If the actual length is 15 feet, which student's estimate is more accurate? Explain your reasoning.​

Answers

Answer:

cual es? ósea la pregunta?

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