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3 years ago

Solve the literal equation for x. y=5x-rx-5

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

Answer:

$x = \frac{y+5}{(5-r)}$

Step-by-step explanation:

Given the literal equation, y = 5x - rx - 5,

In order to solve for x, start by adding 5 on both sides of the equation:

y + 5 = 5x - rx - 5 + 5

y + 5 = 5x - rx

Next, factor out x from the right-hand side of the equation:

y + 5 = x(5 - r)

Finally, divide both sides by (5 - r) to isolate x:

$\frac{y+5}{(5-r)} = \frac{x(5 - r)}{(5-r)}$

$\frac{y+5}{(5-r)} = x$

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The results of a survey are shown in the pie chart below and the survey 28 students say their favorite dessert is ice cream how

Rainbow [258]

Answer:

12 students.

Step-by-step explanation:

The complete question would be:

If ice cream is the last dessert, then we can solve for how many percent of the students like ice cream. If we add the 4 desserts percent, it should be equal to 100%

Pie : 15%

Candy : 23%

Cake : 27%

Pie% + Candy% + cake% + ice cream% = 100%

15% + 23% + 27% + Ice cream% = 100%

65% + Ice cream% = 100%

Ice cream% = 100% - 65%

Ice cream % = 35%

Percent is a way of saying how many out of a 100. Before we can tell how many students like pie, we need to figure out how many students were surveyed.

It says here that 35% of them like ice cream and among the students, 28 students like ice cream. This means that 28 is 35% of a number, which will be the number of students surveyed.

So as a fraction:

$35\% = \dfrac{35}{100}$

We need to find a ratio that is proportional to that, with 28 as the part of the whole.

$\dfrac{35}{100} = \dfrac{28}{x}\\\\Cross-multiply\\\\35x = 28(100)\\\\35x = 2800\\\\Divide\;both\;sides\;by\;35\\\\\dfrac{35x}{35} = \dfrac{2800}{35}\\\\x=80$

So that is the number of students survey. Now to look for how may people like pie, we find what is 15% of 80. So we find the part of the whole this time:

$\dfrac{15}{100}=\dfrac{x}{80}\\\\15(80)=100x\\\\1200 = 100x\\\\\dfrac{1200}{100}=\dfrac{100x}{100}\\\\12 = x$

4 0

3 years ago

26. What is the height of the Tree?<br> a) 20<br> b) 15<br> c) 30<br> d) 10

ale4655 [162]

Answer:

a) 20

Step-by-step explanation:

Use similar triangles.

2/3 = x/30

3x = 2 * 30

3x = 60

x = 20

Answer: a) 20

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3 years ago

Read 2 more answers

Researchers want to investigate if students retain more information if it printed on blue paper rather than white paper. They re

Debora [2.8K]

Answer:

Stratified design with color of paper as the blocks

Step-by-step explanation:

The experimental design that this question uses is the stratified design with color of paper as the blocks

A stratified design is one where the population has been divided into strata that are homogeneous. A good number of participants would then be picked for each of the stratum. The homogeneous strata are also known as the blocks and here in this question we have color of paper as the block here.

The students are of different school levels, elementary, high school and middle school. Each of these levels have 100 students. The students in each levels are halved and each half is randomly assigned information on either a white paper or a blue paper.

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3 years ago

Plzzzz help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of

OverLord2011 [107]

Answer:

she brought 21 shirts and 2 pants

Step-by-step explanation:

shirts

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357- 304.5 = 52.5

pants

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3 years ago

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bezimeni [28]

Answer:

SSS

Step-by-step explanation:

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4 years ago