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motikmotik
2 years ago
10

Solve for x 4.5 (8 - x) + 36 = 102 - 2.5 (3x + 24)

Mathematics
1 answer:
CaHeK987 [17]2 years ago
4 0

Answer:

x = -10

Step-by-step explanation:

expand

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

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Which line has an equation of y=-5x+4 in slope-intercept form?
stellarik [79]

Answer:

Last choice.

Step-by-step explanation:

To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.

Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.

We can test using the slope formula and plugging in values. When the slope formula: m= \frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:

Choice 2:

-24 = -5(4) + 4

-24 = -20 + 4

-24 ≠ -16

Choice 4:

-16 = -5(4) + 4

-16 = -20 + 4

-16 = -16

Therefore, choice 4 is correct!

4 0
2 years ago
You are going to purchase a new iPhone for $479.99 and you have 2 coupons but can only use one. The first coupon is $100 off the
bonufazy [111]

Answer:100 off discount

Step-by-step explanation:

If you use the 20% discount you get only 95 dollars off the price

3 0
3 years ago
I hate this part I need help for 4 and 5 is it a b c or d
sammy [17]
5 is 4000 crickets ((((250) times 2) times 2) times 2) times two)
8 0
3 years ago
What is the answer to the Brain Teaser below
lawyer [7]

Answer:

19

Step-by-step explanation:

The boots are the value of 10, since 3 equal 30. The man is the value of 5 since there are two men (10) and one boot (also 10) which made 20. The ribbon is the value of 4 since there is one man (5) and 2 ribbons (8 ) which made 13. add 10, 5 and 4 and you get 19.

5 0
2 years ago
Read 2 more answers
The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
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