Analyze the diagram below and complete the instructions that follow.
Find the value of x.

Given the following expression:

To determine an estimate for each expression:

A fraction can be defined as a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

Generally, a fraction comprises two (2) main parts and these include:

In this exercise, we would simplify and estimate the given expressions as follows:

Note: An estimate simply means an approximate value.

a. [tex]\frac{1}{8} + \frac{2}{5}=\frac{5+16}{40}=\frac{21}{40}[/tex]

For the estimate:

[tex]\frac{1}{8} + \frac{2}{5}=\frac{1}{2}[/tex]

b. [tex]\frac{13}{14} -\frac{1}{10}=\frac{130-14}{140} =\frac{116}{140} =0.83[/tex]

For the estimate:

0.83 ≈ 1

c. [tex]\frac{1}{12} + \frac{1}{20}=\frac{5-3}{60} =\frac{2}{60} =0.03[/tex]

For the estimate:

0.03 ≈ 0

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Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

Answer: -6

Step-by-step explanation:

Answer:

B = - 6

Step-by-step explanation:

Multiply the numbers

[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]

Rearrange terms

[tex]-8=-2+b\\-8=b-2[/tex]

Add 2 to both sides of the equation

[tex]-8=b-2\\-8+2=b-2+2[/tex]

Simplify

Add the numbers

Add the numbers

Move the variable to the left

[tex]b=-6[/tex]

Answer:

you use the < sign because 45.112 is less than 45.15

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

Answer:

2.407407 miles per minute

Step-by-step explanation:

Answer:

It will take 30.48 for the money in his account to double.

Step-by-step explanation:

Interest compounded anually:

With an investment of P, the amount compounded annualy after t years that you will have is given by:

[tex]A(t) = P(1+r)^{t}[/tex]

In which r is the interest rate, as a decimal.

Ren sets aside $1,000 into an online savings account with an annual interest rate of 2.3%

This means that [tex]P = 1000, r = 0.023[/tex]. So

[tex]A(t) = P(1+r)^{t}[/tex]

[tex]A(t) = 1000(1+0.023)^{t}[/tex]

[tex]A(t) = 1000(1.023)^{t}[/tex]

How long will it take for the money in his account to double?

This is t for which A(t) = 1000*2 = 2000. So

[tex]A(t) = 1000(1.023)^{t}[/tex]

[tex]2000 = 1000(1.023)^{t}[/tex]

[tex](1.023)^{t} = \frac{2000}{1000}[/tex]

[tex](1.023)^{t} = 2[/tex]

[tex]\log{(1.023)^{t}} = \log{2}[/tex]

[tex]t\log{1.023} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.023}}[/tex]

[tex]t = 30.48[/tex]

It will take 30.48 for the money in his account to double.

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

Answer:

y = 2x² - 72 = 0

Step-by-step explanation:

2(x - 6)(x + 6) = 0

2(x² - 36) = 0

2x² - 72 = 0

The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.

A quadratic equation with roots at 6 and -6 can be written in factored form as:

(x - 6)(x + 6) = 0

To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:

2(x - 6)(x + 6) = 0

Expanding the equation:

2(x² - 36) = 0

Distributing the 2:

2x² - 72 = 0

Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:

2x² - 72 = 0

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Answer:

The cost of one admission ticket is 47.5

Answer:

31

Step-by-step explanation:

f(-3)= 3(-3)2+4= 3(9)+4= 27+4= 31

if my answer helps please mark as brainliest

Answer:

The distance between (5, -8) and (5,2) is: d = 10 units

Step-by-step explanation:

Note: I will solve the first question as the procedure solution for the remaining questions is exactly the same.

Given the points

Determining the distance between (5, -8) and (5,2)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) = (2, 3) and (x₂, y₂) = (2, -5)

   [tex]=\sqrt{\left(5-5\right)^2+\left(2-\left(-8\right)\right)^2}[/tex]

   [tex]=\sqrt{\left(5-5\right)^2+\left(2+8\right)^2}[/tex]

   [tex]=\sqrt{0+10^2}[/tex]

   [tex]=\sqrt{10^2}[/tex]

   [tex]=10[/tex]  units

Therefore, the distance between (5, -8) and (5,2) is: d = 10 units

Answer: 11/12 or if you want to pit it in decimal

Use 0.90

Step-by-step explanation:

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

Answer:

C (3x2)x8+7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

-3x=21 .    subtract 10 from 31

then you divided by 3

x= -7

Answer:

yes

Step-by-step explanation:

can learn lot and get better.

9514 1404 393

Answer:

Step-by-step explanation:

Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.

The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.

Angles 4, 5, 6, 7, 8, 9 are 82°

Angles 1, 2, 3, 10, 11, 12 are 98°

_____

As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.

Answer:

[tex]y = 4x[/tex]

Step-by-step explanation:

Given

[tex]x = 44[/tex]

[tex]y = 176[/tex]

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

[tex]y = kx[/tex]

Where k is the unit rate.

Substitute 176 for y and 44 for y

[tex]176 = k * 44[/tex]

Divide both sides by 44

[tex]\frac{176}{44} = \frac{44*k}{44}[/tex]

[tex]\frac{176}{44} = k[/tex]

[tex]4 = k[/tex]

[tex]k = 4[/tex]

Substitute 4 for k in [tex]y = kx[/tex]

[tex]y = 4x[/tex]

Hence, the relationship between x and y is: [tex]y = 4x[/tex]

Answer:

No, no puedo ayudarte aunque te deseo buena suerte

Answer:

the price !!

Step-by-step explanation:

the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!

a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"

i really hope this helps!

Answer:

24

Step-by-step explanation:

7 5/6 x3 =23.5

Answer:

20

Step-by-step explanation:

Answer:

can you zoom in on the questions?

Step-by-step explanation:

Answer:

Equestrianism (from Latin equester, equestr-, equus, 'horseman', 'horse') commonly known as horse riding (British English) or horseback riding (American English),includes the disciplines of riding, driving, or vaulting with horses. This broad description includes the use of horses for practical working purposes, transportation, recreational activities, artistic or cultural exercises, and competitive sport.

Answer:

I love algebra

The ans is in the picture

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 2(-2x - 1) = 10

4x + 4x + 2 = 10

8x + 2 = 10

8x = 8

x= 1

y = -2(1) - 1

y = -2 - 1

y = -3

(1, -3)