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3 years ago

Which terms are like terms in the expression 5x + 9 + (-7x)

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

5x and -7x

Step-by-step explanation:

they both end in the variable "x"

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You need to design a rectangle with a perimeter of 14.2 cm. The length must be 2.4 cm. What is the width of the

irina1246 [14]

Part (a)

<h3>Answer: 2(2.4+w) = 14.2</h3>

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Explanation:

L = 2.4 = length

W = unknown width

The perimeter of any rectangle is P = 2(L+W)

We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2

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

Part (b)

<h3>Answer: w = 4.7</h3>

--------------

Explanation:

We'll solve the equation we set up in part (a)

2(2.4+w) = 14.2

2(2.4)+2(w) = 14.2

4.8+2w = 14.2

2w = 14.2-4.8

2w = 9.4

w = 9.4/2

w = 4.7

The width must be 4.7 cm.

4 0

3 years ago

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friend

ICE Princess25 [194]

Answer:

The price of a senior ticket is $12.

Step-by-step explanation:

Given:

Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.

Now, to get what is the price of a senior ticket.

Let the senior ticket be $x$ and the child ticket be $y$ :

So, according to question

$8x+5y=136$ .........(1)

$4x+6y=96$ ...........(2)

Now, we have system of equations:

Multiplying the equation (2) by -2 we get:

$-8x-12y=-192$ .......(3)

Now, adding the equation (3) and (1) the variables and the numbers:

$-8x-12y+8x+5y=-192+136$

$-7y=-56$

Dividing both sides by -7 we get:

$y=8$

Putting the value of y in equation (2) we get:

$4x+6(8)=96$

$4x+48=96$

On solving the equation we get:

$x=12$ .

Therefore, the price of a senior ticket is $12.

4 0

3 years ago

Y is such that 4y _ 7<= 3y and 3y <= 5y +8. What range of values of y satisfies both inequalities

fgiga [73]

Answer:

Step-by-step explanation:

Given the inequality expressions

4y - 7 ≤ 3y and 3y≤5y+8

For 4y - 7 ≤ 3y

Collect like terms

4y - 3y ≤ 7

y ≤ 7

For 3y≤5y+8

Collect like terms

3y - 5y ≤ 8

-2y ≤ 8

y ≥ 8/-2

y ≥ -4

Combining both solutions

-4≤y≤7

<em>Hence the range of values of y that satisfies both inequalities is -4≤y≤7</em>

6 0

3 years ago

What is a trapezoids

lesya [120]

The trapezoids are supposed to have 4 sides it’s a quadrilateral with a pair of parallel sides. The dark blue one is a trapezium it has one pair of parallel sides

7 0

2 years ago

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever

Akimi4 [234]

Answer:drugs?

Step-by-step explanation:

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3 years ago