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3 years ago

Which of the following are solutions to the inequality, 16 < 15 x − 12 ? Select all that apply.

Mathematics

2 answers:

aalyn [17]3 years ago

3 0

Answer:

25/7, 1.87, 3.25, and 22/7

Step-by-step explanation:

16 < 15x - 12

__________

+12. +12

__________

28 < 15x

__________

÷15 ÷15

__________

28/15 < x

__________

x > 28/15

__________

this is true for any number greater than 1 and 13/15 = 1.8666......

Rina8888 [55]3 years ago

3 0

Answer:

hey can you tell thomas to talk to me plss hes worried about talkin to you only

Step-by-step explanation:

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Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party hats each cost $1.25. If Joe wa

VladimirAG [237]

Answer:

$0.50b+1.25h=20$

Step-by-step explanation:

Let b be the number of balloons and h be number of party hats.

We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.

We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.

Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

$0.50b+1.25h=20$

Therefore, the equation $0.50b+1.25h=20$ represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.

5 0

4 years ago

A lawyer has an annual income of $240,000. The income tax that doctor has to pay is 6%. What is the amount of income tax in doll

ZanzabumX [31]

Answer:

Step-by-step explanation:

240,000*6=14,400 dollars

the dr has to be taxes 14,400 dollars

4 0

3 years ago

Emily needs to buy 3 binders and 5 notebooks for school.

lubasha [3.4K]

Answer:

3b+5b=total

Step-by-step explanation:

you didnt put enough information ( the cost of the stuff)

3 0

3 years ago

Read 2 more answers

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

What is the average rate of change of the function on the interval from x = 0 to x = 5?

crimeas [40]

Answer:

Average rate of change $=\frac{1}{8}$

Step-by-step explanation:

Given interval are from $x=0\ to\ x=5$

Also, $=\frac{1}{2^3}x=\frac{1}{8}x$

Average rate of change $=\frac{f(b)-f(a)}{b-a}\ for\ given\ interval\ [a,b]$

Here given intervals are $a=0\ and\ b=5$

Plugging these value in formula, we get.

Average rate of change $=\frac{\frac{1}{8}(5)-\frac{1}{8}(0)}{5-0}\\\\=\frac{\frac{1}{8}(5)-0}{5-0}\\ \\=\frac{\frac{1}{8}(5)}{5}\\\\=\frac{1}{8}$

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3 years ago