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Yuri [45]
3 years ago
11

How do i do this problem 0.25(x+4)-3=28

Mathematics
2 answers:
KiRa [710]3 years ago
6 0
Distribute the .25 to get .25x + 1 - 3 = 28

Then simplify to get .25x - 2 = 28

Move the two to the right to get .25x = 30

Then divide to leave x: 30 / .25 = 120

X = 120
Alekssandra [29.7K]3 years ago
3 0

Answer:

x = 120

Step-by-step explanation:

We can break this down into a handful of steps.

0.25(x+4)-3=28

Firstly, you can simplify right off the bat via distribution.

(0.25)(x)+(0.25)(4)+-3=28

0.25x+1+-3=28

Then, combine like terms.

(0.25x)+(1+-3)=28

0.25x+-2=28

0.25x-2=28

By using the additive property of equality, add 2 to both sides of the equation.

0.25x-2+2=28+2

0.25x=30

Then, divide both sides by 0.25.

\frac{0.25x}{0.25} = \frac{30}{0.25}

x=120

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7 kg of soybean oil which costs $4/kg were combined with 14kg of canola oil which cost $1/kg. Find the cost per kg mixture
Dmitry [639]

Answer:

Cost per kg = $2

Step-by-step explanation:

Given that:

7kg of soybean oil costs $4/kg

So 7kg of soybean oil will cost = 7 * 4 = $28

14kg of canola oil costs $1/kg

So 14kg of canola oil will cost = 1* 14 = $14

Now for mixture:

Quantity of (soybean oil + canola oil) = Cost of  (soybean oil + canola oil)

7kg + 14kg = $28 + $14

21kg = $42

Now finding cost per kg of mixture:

Cost per kg = $42/21

Cost per kg = $2

i hope it will help you!

5 0
4 years ago
Solve y−3x=13 for y.
Leno4ka [110]

Answer:

y=3x+13

Step-by-step explanation:

−3x+y+3x=13+3x

y=3x+13

3 0
3 years ago
A copyeditor thinks the standard deviation for the number of pages in a romance novel is six. A sample of 25 novels has a standa
alina1380 [7]

Answer:

No, the standard deviation for number of pages in a romance novel is six only.

Step-by-step explanation:

First we state our Null Hypothesis, H_o : \sigma = 6

             and Alternate Hypothesis, H_1 : \sigma > 6

We have taken these hypothesis because we have to check whether our population standard deviation is higher than what editor hypothesized of 6 pages in a romance novel.

Now given sample standard deviation, s = 9 and sample size, n = 25

To test this we use Test Statistics = \frac{(n-1)s^{2} }{\sigma^{2} } follows chi-square with (n-1) degree of freedom [\chi ^{2}_n__-1]

       Test Statistics = \frac{(25-1)9^{2} }{6^{2} } follows \chi ^{2}_2_4  = 54

and since the level of significance is not stated in question so we assume it to be 5%.

Now Using chi-square table we observe at 5% level of significance the \chi ^{2}_2_4 will give value of 36.42 which means if our test statistics will fall below 36.42 we will reject null hypothesis.

Since our Test statistics is more than the critical value i.e.(54>36.42) so we have sufficient evidence to accept null hypothesis and conclude that our population standard deviation is not more than 6 pages which the editor hypothesized.

8 0
3 years ago
Mya is doing a 45-minute cardio workout. She has completed 4 5 of the workout. In how many minutes will her workout be done?
Alika [10]

Answer:

9 minutes

Step-by-step explanation:

45/5 equals 9

6 0
4 years ago
A line passes through the origin and the point (3,5). What is the slope of the line?
masha68 [24]
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&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
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4 0
3 years ago
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