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3 years ago

write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality

1 answer:

6 0

Sally had 8 dollars right before she was paid for working 4 hours. Sally has at least 32 dollars now.
how much was she paid per hour?
$4x + 8 \geqslant 32$
$4x \geqslant 24$
$x \geqslant 6$
Sally was paid at least 6 dollars /hour.

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The last one need the right answer please

Llana [10]

Answer:

Part 1) The unit rate is $16\frac{dollars}{ounce}$

Part 2) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 3) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 4) The unit rate is $4\frac{dollars}{ounce}$

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{d2-d1}{n2-n1}$

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

Verify each case

1) we have

$d=16n$

This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

First table

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{4-1}{16-4}$

$m=\frac{3}{12}\frac{dollars}{ounce}$

simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

3) we have

$n=4d$

This is a proportional relationship between the variables d and n

isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

Second table

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{8-4}{2-1}$

$m=4\frac{dollars}{ounce}$

therefore

The unit rate is $4\frac{dollars}{ounce}$

5 0

3 years ago

Please help im stuck on this one i font know how to do inverse operarions

Goshia [24]

Answer:

107.500

Step-by-step explanation:

5.450.000-75.000=5.375.000

5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000

430.000:4=107.500

+ and - ,

* and :

are inverse operations

Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.

verifying :

107.500*4*12 1/2+75.000=5.450.000

5 0

3 years ago

Spinner A has 6 orange slices and 9 yellow slices. all slices are the same size.

nadya68 [22]

Answer:

what happened to spinner b

Step-by-step explanation:

5 0

3 years ago

I need help please you haft to use elimination to solve thanks

nekit [7.7K]

-7x+14y=-14
-3x+7y=-3
when using elimination you need to multiply or divide one equation to be able to “eliminate” a variable.
-7x+14y=-14
-2(-3x+7y=-13)
multiply the second equation by -2
-7x+14y=-14
6x-14y=6
simplify
-1x=-8
divide by -1 on both sides to isolate the x
x=8
now you can plug in 8 for x in one of the equations.
-3(8)+7y=-3
simplify
-24+7y=-3
add -24 to both sides the isolate the constant and variable
7y=21
now divide by 7 on both sides to isolate y
y=3
this system of equation had one solution at (8, 3)

i hope this helps :)

3 0

3 years ago

Stephanie finances $423,000 with a 20/5 balloon mortgage at 4.45%. How much will she pay for principal and interest over the lif

gtnhenbr [62]

It is b.509,378.67
just add then multiply

5 0

3 years ago

Read 2 more answers