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Ksju [112]
2 years ago
9

Manuel has 18 yards of fabric to make table runners. It takes Three-fourths of a yard to make each runner. The expression that r

epresents the amount of fabric left after making t table runners is 18 minus three-fourths t. Which are possible numbers of table runners that Manuel could make? Select three options. 20 22 24 26 28.
Mathematics
1 answer:
stira [4]2 years ago
3 0

Inequality helps in comparison. The possible number of table runners that Manuel could make is 20, 22, and 24.

<h3>What is Inequality?</h3>

Inequality helps us to compare two unequal expressions to form an equation.

Given to us

Left over cloth = 18 - (3/4)t

In the given equation, t shows the number of table runners that can be made with 18 yards of fabric.

As the total amount of fabric that is used for making must not be more than 18 yards, we can write the equation as,

\frac{3}{4}t \leq  18

solving it for t,

t \leq  18 \times \dfrac{4}{3}\\\\t \leq 24

Thus, the number of tables runner that can be made with 18 yards of cloth such that the size of the table runner is \frac{3}{4} t must be equal to less than 24.

Hence, the possible number of table runners that Manuel could make is 20, 22, and 24.

Learn more about Inequality:

brainly.com/question/19491153

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Hamburger: $6.00<br> Fries: $2.00<br> Tax: 7%<br> Tip: 20%<br><br> Total: ___
Salsk061 [2.6K]

Answer:

$10.27

Step-by-step explanation:

H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27

3 0
3 years ago
Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if
aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

I=P*r*T

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

156=520*r*5

156=2600r

r=\frac{156}{2600}

r=0.06

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

0.06*100=6 \text{ percent}

Therefore, the annual interest rate was 6%.

6 0
3 years ago
At a small college of the students live on campus. There are 14 students in a Biology class. What is the probability that 10 of
Svetllana [295]

Answer:

10/14

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the equation of the line.<br> Use exact numbers.
Citrus2011 [14]

Answer:

y = 4x + -9

Step-by-step explanation:

The y intercept which is -9, is the point in which the graph crosses the x-axis

In order to find the slope we need to identify two clear points on the graph.

- (0, -9)

- ( 1, -5)

Now that we have our two points we need to find the distance between them.

As you can see on the attachment the distance between the two points is 4 units up and 1 unit to the right, therefore the slope is 4/1 = 4.

Final Answer: y = 4x + -9

3 0
2 years ago
If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and
netineya [11]

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

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

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

  • Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
  • Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.

7 0
2 years ago
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