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2 years ago

9

you have some money. your friend has $50 less. Write an expression in simplest form that represents the total amount of money yo

u and your friend have

1 answer:

Maksim231197 [3]2 years ago

4 0

X=your money
y=total amount

x + (x-50) = y

This is one way to do it but it depends on what you learned from your teacher.

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What is the solution to the inequality in interval notation? |4x+6|≤14

alexandr1967 [171]

Answer: x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

Multiply

-4x-6 = 14

Rearrange and Add up

-4x = 20

Divide both sides by 4

-x = 5

Multiply both sides by (-1)

x = -5

Which is the solution for the Negative Case

(4x+6) = 14

Rearrange and Add up

4x = 8

Divide both sides by 4

x = 2

x=-5

x=2

6 0

2 years ago

The industrial process that is used to convert a fuel to gasoline is carried out at a temperature range of 660 degrees°F to 790

NARA [144]

Answer:

$|F-725|$

With F represent the variable of interest:

$-65< F-725< 65$

$-65+725< F< 65+725$

$660 < F< 790$

Step-by-step explanation:

For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.

We can find the midpoint of this interval like this:

$Midpoint= \frac{660+790}{2}= 725$

And the difference between the midpoint and the limits are:

$|790-725|= 65$

$|680-725|= 65$

So then we can create the following inequality:

$|F-725|$

With F represent the variable of interest.:

$-65< F-725< 65$

$-65+725< F< 65+725$

$660 < F< 790$

5 0

3 years ago

Convert percents to fractions (Write the answer in SIMPLEST FORM)

Grace [21]

1/4;2/5;83/100;3/2;7/10;4/5

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2 years ago

Miranda has a bag of marbles with 5 blue marbles, 1 white marbles, and 1 red marbles. Find the following probabilities of Mirand

kvasek [131]

Answer:

(a) $\frac{5}{7},\frac{1}{6}$ (b) $\frac{1}{7},\frac{1}{6}$ (c) $\frac{5}{7},\frac{2}{3},\frac{3}{5}$

Step-by-step explanation:

GIVEN: Miranda has a bag of marbles with $5$ blue marbles, $1$ white marbles, and

TO FIND: a) A Blue, then a red Preview

,b)A red, then a white Preview

,c) A Blue, then a Blue, then a Blue.

SOLUTION:

Total marbles in bag $=7$

(a)

Probability of drawing blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{5}{7}$

As marble is not returned to bag,

Probability of drawing red marble $=\frac{\text{total red marble}}{\text{total marbles}}$

$=\frac{1}{6}$

(b)

Probability of drawing red marble $=\frac{\text{total red marble}}{\text{total marbles}}$

$=\frac{1}{7}$

As marble is not returned to bag,

Probability of drawing white marble $=\frac{\text{total white marble}}{\text{total marbles}}$

$=\frac{1}{6}$

(c)

Probability of drawing blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{5}{7}$

As marble is not returned to bag,

Probability of drawing second blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{4}{6}=\frac{2}{3}$

As marble is not returned to the bag

Probability of drawing third blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{3}{5}$

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2 years ago

The equation of the line parallel to y-8=1/8(x+8) that passes through Q(1,-1) is

Mars2501 [29]

Answer:

Find the distance between the given points: (-7, 5) and (-8, 4)

Step-by-step explanation:

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2 years ago