If - 20 is added to a number, the sum will be 8 times the number. Find the number.
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I’m not understanding this equation

Answer:

15 cm

Step-by-step explanation:

540cm squared= 36 · b

540 ÷36= b

b= 15 cm

Answer:

In its Plessy v. Ferguson decision (1896), the U.S. Supreme Court ruled that “separate but equal” facilities for African Americans did not violate the Fourteenth Amendment, ignoring evidence that the facilities for Black people were inferior to those intended for whites.

Step-by-step explanation:

hope that helps love

Answer:

12 years old

Step-by-step explanation:

let h = helmi's age and let s = son's age (right now)

10s = 3h

h + 5 + s + 5 = 62

h + s + 10 = 62

h + s = 52

3h + 3s = 156

10s + 3s = 156 (substitution)

13s = 156

s = 12

Answer:

We want to use time so we will say

The time it takes to finish a jog, t, at the speed of s.

Step-by-step explanation:

The dependent variable we know depends on the independent variable.

Our independent variable is speed because it represents itself where time depends on speed. The reason it depends on speed is that the time to finish a jog depends on your speed.

Answer:

2.5

Step-by-step explanation:

y=ax+b

9= -2a+b <=> b= 9+2a

34=8a+b = 8a+9+2a = 10a + 9

a = (34-9)/10 = 2.5

Answer:

Step-by-step explanation:

Use the slope formula:

Answer:

x=-55

Step-by-step explanation:

(2)(4)+(11)(3)+(13)(2)+2x−8=x+4

Simplify both sides of the equation.

8+33+26+2x+−8=x+4

Combine like terms

(2x)+(8+33+26+−8)=x+4

2x+59=x+4

2x+59=x+4

Subtract from both sides

2x+59−x=x+4−x

x+59=4

Subtract 59 from both sides

x+59−59=4−59

x=−55

Let's proof

PQ is the perpendicular bisector Hence

Now apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PD^2[/tex]--(1)

[tex]\\ \tt\hookrightarrow PQ^2+CQ^2=PC^2[/tex]

As QD=CD

[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PC^2[/tex]--(2)

From (1) and (2)

[tex]\\ \tt\hookrightarrow PC^2=PD^2[/tex]

[tex]\\ \tt\hookrightarrow PC=PD[/tex]

Answer:

Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]

⇒  [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]

⇒ ΔPQD ≅ ΔPQC

⇒ CP = PD

Step-by-step explanation:

Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]

⇒  [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]

⇒ ΔPQD ≅ ΔPQC

⇒ CP = PD

Answer:

y > 4x + 1.

Step-by-step explanation:

The other person that listed their answer was also correct.

In order to make an equation as such, we need to find the slope of this line and the y-intercept. The y-intercept is the "+b" in y=mx+b. The slope is mx. So, to identify the slope we need to calculate rise over run on the graph, which is 4. So:

y __ 4x + __.

On the y-intercept, the y crosses and meets at the point (0,1) on the x-intercept exactly, so we don't need to worry about there being any fractions right now. So:

y __ 4x + 1.

Now, because this line has a positive slope, the inequality symbol is "chomping" at the y, like this:

y > 4x + 1.

I hope that this helps.

The answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign is y = -2x + 3

The inequality symbol is less than (<). This means that all points below the line y = -2x + 3 satisfy the inequality.

To understand why this is the case, let's consider a few points on the line y = -2x + 3. For example, the point (0, 3) is on the line. If we plug these coordinates into the inequality, we get:

y = -2x + 3

3 = -2(0) + 3

3 = 3

This is a true statement, so we know that the point (0, 3) satisfies the inequality.

Now, let's consider a point that is below the line y = -2x + 3. For example, the point (1, 1) is below the line. If we plug these coordinates into the inequality, we get:

y = -2x + 3

1 = -2(1) + 3

1 = 1

This is also a true statement, so we know that the point (1, 1) satisfies the inequality.

Therefore, we can conclude that all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.

Here is a graph of the inequality y < -2x + 3.

As you can see from the graph, all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.

To learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

1. Observe question

2. Employ Point-Slope formula

(y2 - y1)/(x2 - x1 )=

(-10-9)/(-6-9) =

-19/-15=

19/15

Slope: 19/15

Answer:[tex]\frac{19}{15}[/tex] or 1.26667

Step-by-step explanation:

m=rise over run=Δy over Δx

m=y2−y1x2−x1

m=−10−9−6−9

m=−19−15

m=19/15

Answer:

8.5

Step-by-step explanation:

For inverse variation of (x, y), x*y = constant

so 4*17 = 8*y

y = 4*17/8 = 17/2 = 8.5

Answer:

i think his work is popular today because it was aheaahead of his time and yes  i do think his songsongs created today will be popular in 400 years. Step-by-step explanation:

Answer:

you didnt attach the picture or assignment

Answer:

A:61°

B:72°

C:47°

Explanation:

I took the test and it was correct

Answer:

Lynn's gross pay for the week is $29.12

Step-by-step explanation:

Lynn gets paid $2.08 for each usable machine part she makes. Out of the 440 parts she made this week, only 14 parts were usable.

Therefore, use the equation:

$2.08 x 14 = $29.12

Answer:

Todo terreno+ caballo+caminado=distancia ; (2/5)d+(1/3)d+80=d

Step-by-step explanation:

Answer:

3 days

Step-by-step explanation:

because a works twice as fast meaning they can do there work 3 times as fast

Answer:

16 dollars

Step-by-step explanation:

The price includes the price of an empty bag B and the price of popcorn that is proportional to x (the number of ounces). Let each popcorn cost A$. Then the price of bag y = Ax + B

Given x = 10, y = 6, so 6 = 10A + B    (1)

Given x = 20, y = 8, so 8 = 20x + B   (2)

(2) - (1): 2 = 10A, so A = 2/10 = 0.2

Sub it into (1), 6 = 10*0.2 + B = 2 + B, so B = 6 - 2 = 4

We got y = 0.2x + 4

Check: x = 35, y = 0.2*35 + 4 = 11 (right)

x = 48, y = 0.2*48 + 4 = 13.6 (right)

Now find y when x = 60

y = 0.2*60 + 4 = 16 dollars

Answer:

1) [tex]\dfrac78[/tex]

2) [tex]\dfrac{17}{12} = 1 \frac{5}{12}[/tex]

3) [tex]\dfrac{53}{12}=4 \frac{5}{12}[/tex]

Step-by-step explanation:

1)

[tex]\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78[/tex]

2)

[tex]\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}[/tex]

3)

First convert mixed number into improper fraction:

[tex]4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}[/tex]

[tex]\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}[/tex]

Answer:

m<20

Step-by-step explanation:

m must be less than 20

m < 20

or

20 > m

Answer/Step-by-step explanation:

The graph of the equation y = 1/2x on the coordinate plane is plotted below

The given equation is:

y = 1/2x

The equation is of the form:

y  =  mx  +  c

where m represents the slope

and c represents the y-intercept

Comparing the equation y = 1/2x  with y = mx + c

The slope, m = 1/2

The y-intercept, c = 0

The line graph with slope, m = 1/2, and y-intercept, c = 0 is plotted below

[RevyBreeze]

Answer:

63x + 18

Step-by-step explanation:

9 multiply 7x to give 63x

and 9 multiplies 2 to give 18

Answer:

Option C. 63x +18 is correct.

Step-by-step explanation:

7x ×9= 63x

2×9=18

=63x + 18

Hope it helps.......

Answer:

[tex]\red{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]

Step-by-step explanation:

[tex]X+a = \frac{X+b}{c} \\ \\ \implies \: c(X+a) = X+b\\ \\ \implies \: cX+ac= X+b \\ \\ \implies \: cX - X = b - ac \\ \\ \implies \: X(c - 1) = b - ac \\ \\ \implies \: \huge \purple{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]

The average value of f(x) over [2, 6] is given by the definite integral,

[tex]\displaystyle f_{\rm ave[2,6]} = \frac1{6-2} \int_2^6 3\ln(2+x^3)\cos(x) \, dx[/tex]

and is approximately -1.67284.

The approximate average value of the function in the closed interval [2,6] is -1.628.

It is given that the f is the function given by:  [tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]

It is required to find the average value of f in the closed interval [2,6]

It is defined as the mathematical approach to calculating the smaller parts or components.

We have function f:

[tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]

For the average value in [2,6]

We integrate the function with lower limit 2 and higher limit 6.

[tex]\rm \int_{2}^{6}f(x) =\int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]

The average value of the above function:

[tex]\rm =\frac{1}{6-2} \int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]

Further solving:

[tex]\rm =\frac{3}{4} \int_{2}^{6}( ln(2+x^2)cosx)\\[/tex]

Further solving and applying limits we get:

[tex]=\frac{3}{4}\times-2.2304[/tex]

= -1.628

Thus, the approximate value of the function in the closed interval [2,6]

is -1.628.

Learn more about the integration here:

https://brainly.com/question/14502499

Answer: x = 11; y = -1.

Step-by-step explanation:

-9y + 2 = x        (1)

-x - 3y = -8        (2)

Substitute x from Equation 1 into Equation 2:

-(-9y + 2) - 3y = -8

9y - 2 - 3y = -8

9y - 3y = -8 + 2

6y = -6

y = -1

Substitute y into Equation 1 and find x:

-9 * (-1) + 2 = x

x = 11

Answer:

The volume of the rectangular prism is 352 ft. The total surface area is 328 ft.

Step-by-step explanation:

Volume:

V = whl

V = 8 x 4 x 11

V = 352 ft

For finding surface area you have to find the lateral surface area: 152 ft, top surface area: 88 ft, and the bottom surface area: 88 ft. Add all that up and you get 328 ft.

The PDF for the wait time (denoted by the random variable X) is

[tex]f_X(x) = \begin{cases}\lambda e^{-\lambda x} & \text{if }x \ge 0 \\ 0 &\text{otherwise}\end{cases}[/tex]

where λ = 1/75. We want to find Pr[X > 70 | X ≥ 40]. Pierre has already been waiting for 40 min, so if he waits another 30 min he will have waited for a total of 70 min.

By definition of conditional probability,

Pr[X > 70 | X ≥ 40] = Pr[X > 70 and X ≥ 40] / Pr[X ≥ 40]

If X > 70, then automatically X ≥ 40 is satisified, so the right side reduces to

Pr[X > 70 | X ≥ 40] = Pr[X > 70] / Pr[X ≥ 40]

Use the PDF or CDF to find the remaining probabilities. For instance, using the PDF,

[tex]\mathrm{Pr}[X > 70] = \displaystyle \int_{-\infty}^{70} f_X(x) \, dx = \int_0^{70} f_X(x) \, dx \approx 0.3932[/tex]

Or, using the CDF,

[tex]F_X(x) = \displaystyle \int_{-\infty}^x f_X(t) \, dt = \begin{cases}0&\text{if }x<0 \\ 1-e^{-\lambda x} & \text{if }x \ge 0\end{cases}[/tex]

[tex]\implies \mathrm{Pr}[X > 70] = 1 - \mathrm{Pr}[X \le 70] = 1 - F_X(70) \approx 0.3932[/tex]

Similarly, you'll find that Pr[X ≥ 40] ≈ 0.5866.

It follows that

Pr[X > 70 | X ≥ 40] ≈ 0.3932 / 0.5866 ≈ 0.6703