1.4.27
Use the number line below, where RS = 5y +3, ST = 4y + 7, and RT = 64.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y=(Type an integer or a decimal.)

Answers

Answer 1

Answer:

(a). The value of y is 6.

(b). The value of RS and ST are 33 and 31.

Step-by-step explanation:

Given that,

RS = 5y+3

ST=4y+7

RT=64

(a). We need to calculate the value of y

Using given data

[tex]RS+ST=RT[/tex]

Put the value into the formula

[tex]5y+3+4y+7=64[/tex]

[tex]9y=64-10[/tex]

[tex]y=\dfrac{54}{9}[/tex]

[tex]y=6[/tex]

(b). We need to calculate the value of RS

Using equation of RS

[tex]RS=5y+3[/tex]

Put the value of y

[tex]RS=5\times6+3[/tex]

[tex]RS=33[/tex]

We need to calculate the value of ST

Using equation of ST

[tex]ST=4y+7[/tex]

Put the value of y

[tex]ST=4\times6+7[/tex]

[tex]RS=31[/tex]

Hence, (a). The value of y is 6.

(b). The value of RS and ST are 33 and 31.


Related Questions

The area of the surface of the largest known star is about 1015 square miles. The area of the surface of the Earth is about 1011 square miles. How many times larger is the star's area?

Answers

Answer:

The surface area of the star is approximately 1.004 times larger than the earth's surface area

Step-by-step explanation:

To find the number of times b which the area of the star is larger than that of the earth, we will divide the area of the area of the star by the area of the earth.

Area of surface of star = 1015 square miles

Area of surface of the earth = 1011 square miles

∴ (Area of star) ÷ (Area of the earth)

= 1015 ÷ 1011 = 1.00395 times

Therefore the surface area of the star is approximately 1.004 times larger than the earth's surface area

The quotient of 1/3 and 4/3

Answers

Answer:

1/ 4

Step-by-step explanation:

The question can also be written as [tex]\frac{1}{3} /\frac{4}{3}[/tex] .

Because it's division of fractions, you can multiply to find the answer by making 4/3 into 3/4. So

1/ 3 times 3/4 = 3/12 = 1/4

Answer:

if you're trying to find the quotient then the answer is: 4/9

if you're trying to add then the answer is: 5/3

if you're trying to divide then the answer is: 4/9

if you're trying to multiply then the answer is: 4/9

if you're trying to simplify then the answer is: 4/9

Step-by-step explanation:

select the statement that is false.

•variables represent unknown values.

• variables are placeholders in math expressions and equations.

• mathematical operations can be performed on variables.

• variables cannot be represented by the letter t. ​

Answers

Answer:

number 3 is incorrect the rest are correct

plzz help me i need it ill mark you as brlanlest

Answers

Answer:

I believe that the answer is c or -9

Step-by-step explanation:

Absolute values

An absolute value is the distance from 0

F is -10 therefore |F| = |-10| = 10.

E is 1 therefore |E| = |1| = 1

10 + 1 = 11

Meaning the answer would be: B

Hope this Helped!

which point is the midpoint of AE

Answers

Midpoint= in the middle
Midpoint is D

Point D is the midpoint of points A and E for the given number line.

What is a number line?

A number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given the number lines with labeled points as A, B, C, D, and E.

The midpoint of AE is the mean of AE

Mean of AE ;

(A + E )/ 2 = (- 6 + 8) / 2

2 / 2 = 1 which is point D

Therefore "D" will be the midpoint of A and E.

Hence "Point D is the midpoint of points A and E for the given number line".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ2

find the width, height, and area of a 50 inch TV with a 16:9 aspect ratio

Answers

Answer:

50

Step-by-step explanation:

HELP ME!!
1. What is a variable?
2. Solve the following equations:
3x + 6 - X + 82 = 44
Show your work for the equations.

Answers

A variable is a letter that represents another number or thing.

Steps to solve:

3x + 6 - x + 82 = 44

~Combine like terms

2x + 88 = 44

~Subtract 88 to both sides

2x = -44

~Divide 2 to both sides

x = -22

Best of Luck!

Which ordered pair is on the inverse of f(x)?

Answers

Answer: (-1,-2)

Step-by-step explanation: I just did it

Complete the description of the piecewise function graphed below. Use interval notation to indicate intervals.

Answers

Answer:

{ -2 if x ∈ -4 < x < -3

{ -5 if x ∈ -3 ≤ x < 2

[ 5 if x ∈ 2 ≤ x < 5    

Step-by-step explanation:

From the graph, we have;

{ -2 if x ∈ -4 < x < -3

For the next inequality line at y = -5, we have;

1) The inequality line, starts with an open circle on the left at x = -3, which is equivalent to less than or equal to symbol, ≤ as -3 ≤ x because the point x =-3 is the left boundary.  The inequality line extends to the point x = 2, where we have a closed circle (on the right), which is equivalent to a x ≤ 2 with the 2 on the right hand side because, the 2 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = -3 extends to x = 2

3) As stated in point 1) the point x = 3, we have -3 ≤ x and at point x = 2, we have x ≤ 3 which can be combined as  -3 ≤ x < 2, to give;

{ -5 if x ∈ -3 ≤ x < 2

For the next inequality line at y = 5, we have;

1) The inequality line, starts with an open circle on the left at x = 2, which is equivalent to less than or equal to symbol, ≤ as 2 ≤ x because the point x =2 is the left boundary.  The inequality line extends to the right to reach point x = 5, where we have a closed circle (on the right), which is equivalent to a x ≤ 5 inequality, with the 5 on the right hand side because, the 5 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = 2 extends to x = 5

3) As stated in point 1) the point x = 2, we have 2 ≤ x and at point x = 5, we have x ≤ 5 which can be combined as  2 ≤ x < 5, to give;

[ 5 if x ∈ 2 ≤ x < 5.

Answer:

1st box = [-4, -3]

2nd box = (-3, 2]

3rd box = (2, 5]

For f(x) = -2 we see that x is between -4 to -3 with closed endpoints.

So the interval will be [-4, -3].

For f(x) = -5 we see that x is between -3 to 2 with closed endpoint at 2 and open endpoints at -3.

So the interval will be (-3, 2].

For f(x) = 5 we see that x is between 2 to 5 with open endpoint at 2 and closed endpoint at 5.

So the interval will be (2, 5].

Learn more: https://brainly.com/question/16236436

I need the percentage of the shaded area.

Answers

Answer:

1.22

Step-by-step explanation:

Since there is one whole shaded. And 2 tens, and 2 ones. Its 1.22.

A __ is as polynomial with two terms.

Answers

Answer:

Bionominal

Step-by-step explanation:

Question:

A ____ is a polynominal with two terms.

Answer:

A Bionominal is a polynominal with two terms.

Bionominal is your answer.

Hope this helps!

Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?

Answers

1/5 of a litre is 0.2 litres
1 litre minus 0.2 litres is 0.8 litres so
0.8 divided by 5 (glasses) is 0.16 litres in each glass

What’s the right anwser?

Answers

-8(x+13)=2(x-7)+4x
-8x-104=2x-14+4x
-8x-104=2x+4x-14
-8x-104=6x-14

Hope this can help.

the 3rd option

-8(x+13)=2(x-7)+4x

-8x - 104 = 2x - 14 + 4x

-8x - 104 = 2x + 4x - 14

-8x - 104 = 6x - 14

Choose all of the expressions that are equal to −9. the opposite of nine −|9| |−9| −|−9| −(−9) the distance from zero to nine

Answers

Answer:

−|9| = -9

−|−9| = -9

Step-by-step explanation:

−|9| = -9

|−9| = 9

−|−9| = -9

−(−9) = 9

3[-X + (2 x + 1)] = x - 1
X=?

Answers

Answer: -2

Step-by-step explanation: 2x/2 = -4/2

x = -2

EXPLAINATION
3(-x+2x + 1)= x - 1
3(x+1) = x - 1
3x + 3 = x - 1
3x - x = -1-3
2x = -4 *DIVIDE BOTH SIDES*
x = -2

Given f(x) = -4(6x - 5) + 60, what is the value of f(4)?

Answers

Answer:

[tex]f=-6x+20[/tex]

Step-by-step explanation:

Just solve f(4) = -4(6x - 5) + 60

what is 8+8-2X5-1+22 ????

Answers

Answer:

27

Step-by-step explanation:

8+8+(-2x5)-1+22

8+8+(-10)-1+22

16+22-11

27

Three copies of this rectangle were connected along a side to make a larger rectangle. What could the perimeter of the new rectangle be? Consider all possibilities.

Answers

Answer:

388in or 202in

Step-by-step explanation:

I decided to connect three copies of this rectangle, all along the right side of the rectangle in the picture above.

When this is done the new length along the bottom and top become 45×4=180.

Now to find the perimeter, 180+180+14+14=388in

Other possibility

Connect the three copies along the top.

Now we need to do 14×4=56, which is the new side length.

Now to find the perimeter, 56+56+45+45=202in

Can someone help me please​

Answers

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

Answer:

[tex]\sf \dfrac{{x}^{a \: (b - c)} }{ {x}^{b \: (a - c)} } \: \div \: \bigg \lgroup \dfrac{ {x}^{b} }{ {x}^{a} } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

Now,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \bigg \lgroup \dfrac{ ({x}^{b} )}{( {x}^{a}) } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \dfrac{ {x}^{bc} }{{x}^{ac} } \: = \: 1[/tex]

[tex]\\[/tex]

We know that, When sign change from division to multiplication we should do reciprocal of next number.

Therefore we get,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \times \: \dfrac{ {x}^{ac} }{{x}^{bc} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: \cancel {ac }\: + \: \cancel{ac}} }{ {x}^{ba \: - \: \cancel{ b c} \: + \: \cancel{bc}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x} \: ^{ \cancel{ab}} }{ {x} \: ^{\cancel{ba}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex] \bigstar \: \: \underline{ \boxed{\sf x \: = \: 1}} \: \: \bigstar[/tex]

[tex]\\[/tex]

[tex] \huge\bf \dag \: \gray{RHS = LHS} \: \dag[/tex]

[tex]\\[/tex]

[tex]\large \star \: \tt Hence, Verified \: \star[/tex]

Elisa swim laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 mins. By how many minutes has she improved her lap time?

Answers

Answer:

I think one minute

Step-by-step explanation:

she can now complete 2 laps in one minute

what is the answer to this equation -3-6x =9

Answers

Answer: la respuesta es -57

Step-by-step explanation:

Answer:

-57 and sorry if wrong

Step-by-step explanation:

40 percent in to fraction decmal​

Answers

Answer:

0.4 hope this helps

Step-by-step explanation:

Answer:

Well 40 percent is 2/5 as a fraction and 2/5 as a decimal is 0.4

Step-by-step explanation:

simplify 4+3(7+4 x 2)-100
Solve this

Answers

4+3(7+4 x 2)-100
4+3(7+8)-100
4+3(15)-100
4+45-100=
-51

(7+4x2) = 15
4+3+15-100= -51

ANSWER IS -51

Pam bought a stereo for $700 and made 36 payments of $26.32. How much
did she pay in interest?

Best answer gets brainliest

Answers

Answer:

$247.52

Step-by-step explanation:

36 x 26.32 = 947.52

947.52 - 700= 247.52

How would I solve this problem?

Answers

Answer:

(x+1)²=-1

Step-by-step explanation:

x²-7x=-9x-2

x²+2x+2=0

If you solved this using the quadratic formula, you’d end up with -1+i and -1-i.

but if you subtracted 1 from both sides, you’d have

x²+2x+1=-1

Which is:

(x+1)²=-1

the cost of a yard string at eleven cents per inch

Answers

Answer:$1.32

Step-by-step explanation:

There are 36 inches in a yard. 11 times 36 is 396, and since there are 100 cents in a dollar, we know that a yard of string is $3.96.

Help me please!!!!!!!!

Answers

Answer:

The first part/question sounds like a Division problem because theirs 18 guests and each slice feeds 6 people. Therefore, Laura orders 3 boxes of Pizzas. But make sure you try Photomath,V3, or Khan Academy apps before you write down the answer to the first question.

I need help please !!!!!

Answers

15- 16 yd

16- 12 cm

17- 49 mi

18- 14 ft

A lamp pole with a height of 10 ft casts a shadow of 3 ft. What is the height of a building that casts a shadow of 15 ft at the same time?

Answers

Answer: it should be 20ft

Step-by-step explanation:

Name all rays ,point and line segment

Answers

Answer:

ratious and axuas

Step-by-step explanation:

Answer:

S & Q are points

R is a ray

SR & RQ are line segments

Step-by-step explanation:

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