-4 (2x + 13) + 3x = 80
How do you solve this out and get the answer

Answer:

The question is not complete, below is the completed question:

These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.

1. Triangle G and Triangle F

2. Triangle G and Triangle B

3. Triangle B and Triangle F

4. Triangle F and Triangle H

5. Triangle G and Triangle H

6. Triangle H and Triangle B

Answer:

1. Triangle G and Triangle F  = 4 times

2. Triangle G and Triangle B  = 0.2 times

3. Triangle B and Triangle F  = 16 times

4. Triangle F and Triangle H  = 0.11 times

5. Triangle G and Triangle H  = 0.44 times

6. Triangle H and Triangle B = 0.56 times

Step-by-step explanation:

using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles

1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]

[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]

To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first

1. Triangle G and Triangle F  = 24:6 = 4

∴ The area of triangle F is 4 times larger than triangle G

2. Triangle G and Triangle B  = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2

∴ The area of triangle B is 0.2 times larger than triangle G

3. Triangle B and Triangle F  = [tex]24 : \frac{3}{2} = 16[/tex]

∴ The area of triangle F is 16 times larger than triangle B

4. Triangle F and Triangle H  = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]

∴ The area of triangle H is 0.11 times larger than triangle F

5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]

∴ The area of triangle H is 0.44 times larger than triangle G

6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]

∴ The area of triangle B is 0.56 times larger than triangle H

Yes and opposite and an absolute value of an integer will be the same.

Answer:

the answer would be 3.73

Step-by-step explanation:

all you gotta do is subtract 39.51 and 35.78 and you get your answer

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer:

It would be -16/13x^11y^18.

The standard form of the expression as a monomial  [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is

-16 /3[tex]$ x^5y^6[/tex]

Given,

[tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]

Simplify

[tex]\left(-3 x y^2\right)^3:-27 x^3 y^6 \\[/tex]

[tex]&=-27 x^3 y^6\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]

Simplify

[tex]\left(\frac{-2}{3 x^2 y^3}\right)^4: \frac{16}{81 x^8 y^{12}} \\[/tex]

[tex]&=-27 x^3 y^6 \frac{16}{81 x^8 y^{12}}[/tex]

Apply the fraction rule:

[tex]$\quad a \cdot \frac{b}{c}=\frac{a \cdot b}{c}$[/tex]

∴  [tex]=-\frac{27 x^3 y^6 \cdot 16}{81 x^8 y^{12}}[/tex]

Factor the number:  81 = 27.3

[tex]=-\frac{27 x^3 y^6 \cdot 16}{27 \cdot 3 x^8 y^{12}}[/tex]

Cancel the common factor: 27

[tex]=-\frac{x^3 y^6 \cdot 16}{3 x^8 y^{12}}$$[/tex]

Simplify

[tex]$\frac{x^3}{x^8}: \frac{1}{x^5}$[/tex]

∴ [tex]=-\frac{y^6 \cdot 16}{3 x^5 y^{12}}[/tex]

Simplify the equation,

[tex]$\frac{y^6}{y^{12}}: \frac{1}{y^6}$[/tex]

then we get,

[tex]=-\frac{16}{3 x^5 y^6}[/tex]

Hence, The standard form of the expression as a monomial  [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is   -16 /3[tex]$ x^5y^6[/tex]

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Answer:

72

Step-by-step explanation:

do 24/2=12x6=72

Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

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Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]

Answer:

Step-by-step explanation:

let the total cost be y

and let the number of weeks be x

Daily Info charges

y=650+80x---------1

People's Paper charges

y=145x---------------2

equating 1 and 2 to solve for x we have

650+80x=145x

650=145x-80x

650=65x

x=650/65

x=10

Therefore the answer is 10 weeks

Answer:

x=-7

Step-by-step explanation:

[tex]2x - x = - 4 - 3[/tex]

[tex]x = - 7[/tex]

i think this is the answer

Answer:

x = -7

Step-by-step explanation:

subtract 3 from both sides and subtract x from both sides

x = -7

Answer:

25

Step-by-step explanation:

-28+53

Hope this helps! :)

Answer:

Step-by-step explanation: scale factor is 1/10 the length of a is 1 the length of b is 8.5

The scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

From the given figure,

Scale factor = 6.2/62

= 1/10

The length of A = 1/10 ×10 cm

= 1 cm

The length of B = 1/10 ×85 cm

= 8.5 cm

Therefore, the scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

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Answer:

6

Step-by-step explanation:

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]

[tex]=\dfrac{375}{1664}\approx0.2254[/tex]

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

Answer:

It is 0

Step-by-step explanation:

Answer:

1-1 is 0 if it was 1-2 it would be -1

Step-by-step explanation:

Answer:

21.715 degrees.

Step-by-step explanation:

There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.

Answer:

99.7%

Step-by-step explanation:

Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we have mean of 98.18 F and a standard deviation of 0.65 F

The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 ​F is

μ - 3σ

= 98.18 - 3(0.65)

= 98.18 - 1.95

= 96.23 F

μ + 3σ.

98.18 + 3(0.65)

= 98.18 + 1.95

= 100.13 F

Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 ​F which is within 3 standard deviations of the mean is 99.7%

Answer:

Sophia is not correct

Step-by-step explanation:

The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values

Here it can be presented 60:36 as a fraction i.e. [tex]\frac{60}{36}[/tex]

Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6

Now after dividing it, the fraction would be [tex]\frac{10}{6}[/tex]

Now it can be further reduced by a common factor i.e. 2

So now the fraction is [tex]\frac{5}{2}[/tex]

Thus, the ratio is 5:2

Hence, she is not correct

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

Answer:

(x+2)+(x-6)=16

Step-by-step explanation:

the center of the circle is (h, k)

In this case it's (-2,6)

the radius is 4 which is known as r

the formula is: (x-h) + (x-k)= r^2

then you just plug it in

Answer:331.5

Step-by-step explanation:

Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,

Amount made by Joe = Amount paid per hour × Number of hours

                                 = $8.50 per hour × 39 hours

                                 = $331.5

Hence, the amount that is made by Joe last week is $331.5.

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Answer:

c

Step-by-step explanation:

the number line says less than 4 so if you solce for all the equations c will be x<4

Answer:

The value is [tex]P(X = 3) = 0.1798[/tex]

Step-by-step explanation:

From the question we are told  that

    The rate is  [tex]\lambda = 8.6 \ hr ^{-1}[/tex]

General probability distribution for Poisson distribution is mathematically represented

                [tex]P(X = x) = \frac{(\lambda * t)^{x} }{x!} * e^{-\lambda * t}[/tex]

Given that is in per hour then the unit of t is in hours

Generally  30 minutes   = [tex]0.5 \ hours[/tex]

Generally the probability that 3 customers arrive in the first 30 minutes is mathematically represented

        [tex]P(X = 3) = \frac{( 8.6 * 0.5 )^{3} }{3!} * e^{-8.6 * 0.5 }[/tex]

=>      [tex]P(X = 3) = 0.1798[/tex]

Answer:

7.19

Step-by-step explanation: