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3 years ago

The sum of a number times 7 and 21 is at least 29. Write as an inequality

Mathematics

1 answer:

PtichkaEL [24]3 years ago

6 0

The inequality is 7x + 21 $\leq 29$

Step-by-step explanation:

DATA:

Let the number be x

Number times 7 = 7*x

Sum of a number times 7 and 21 = 7x + 21

Is at least 29

INEQUALITY:

7x + 21 $\leq 29$

SOLVE:

7x $\leq 29-21$

7x $\leq 8$

x $\leq \frac{8}{7}$

Therefore, the inequality is 7x + 21 $\leq 29$

Keyword: Inequality

Learn more about inequality at

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What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction

tester [92]

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

4 0

3 years ago

25.6% of what # is 21.12

laila [671]

To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get

21.12 / b = 25.6 / 100

Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.

21.12(100)=25.6(b)

When we multiply, you get

2112 = 25.6b

Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.

82.5 = b

Therefore, 25.6% of the number 82.5 is 21.12.

7 0

3 years ago

Read 2 more answers

Is this graph a function A. Yes B. No PLEASE HELP 14 POINTS OR BRAINLIST

Lubov Fominskaja [6]

Answer: A

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please actually answer and not just take my points and answer quick this is timed

Arte-miy333 [17]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -\frac{5}{2}x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-\frac{5}{2}x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

Inequality A

$-8$

$-8$ ----> is true

the ordered pair satisfy inequality A

Inequality B

$-8\geq -\frac{5}{2}(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

6 0

3 years ago

A laptop has a listed price of $699.99 before tax. If the sales tax rate is 6.75%, find the total cost of the laptop with sales

Nookie1986 [14]

The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.

<h3>What is sales tax?</h3>

A sales tax is a consumption tax imposed by the government on the sale of goods and services

In other words, sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at a retail

A laptop has a listed price of $699.99 before tax.

The sales tax rate is 6.75%.

Total cost of the laptop with sales tax included can be calculated as follows:

sale tax = 6.75% of 699.99

sale tax = 6.75 / 100 × 699.99

sale tax = 4724.9325 / 100

sale tax = 47.249325 dollars

Therefore,

Total cost of the laptop with sales tax included = 47.249325 + 699.99 = 747.239325 dollars = 747.24 dollars.

learn more on sales tax here: brainly.com/question/17236543

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4 0

1 year ago