If a car moving east has a velocity of 50 (mph) what number could we use for the velocity of a car traveling the same speed in the opposite direction?

Answer:

D

Step-by-step explanation:

3^5= 243

D) 3^8=6561

3^3=27

6561/27=243

Answer:

5/9

i got it right

Answer:

14 Wood

Step-by-step explanation:

50/5 = 10 Wood = 4 days

70/5 = 14 Wood = 6 Days

I hope this is correct!

105  cords of wood could 7 woodchucks chuck in 6 days

Two or more expressions with an Equal sign is called as Equation.

If 5 woodchucks could chuck 50 cords of wood in 4 days, and since 1 woodchuck chucks 1/5 as much wood as 5 woodchucks, then we know that.

1 woodchuck could chuck 10 cords of wood in 4 days.

Then, since a woodchuck can chuck 1/4 as much wood in 1 day as she can chuck in 4 days, we conclude that

1 woodchuck could chuck 2.5 cords of wood in 1 day.

Now we use this to find the answer of our problem. If

In one day, If 1 woodchuck could chuck 2.5 cords of wood, then

In six days ,1 woodchuck could chuck cords of wood=6×0.25

7 woodchucks could chuck cords of wood in 6 days=6×0.25×7

=105

Hence 105  cords of wood could 7 woodchucks chuck in 6 days

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Answer:

45 times

Step-by-step explanation:

15 red out of  60   total markers

15/60=0.25

180 x 0.25 = 45

Thus, she will pick a red marker 45 times

[RevyBreeze]

Answer:

B

Step-by-step explanation:

x + 0.5 = 0.58 ? i think thats decimal but anyways

x = 0.58 - 0.5

x = 0.08 ?

sooo um

Answer:

B

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

According to the vertex and the directrix of the given parabola, the equation is:

[tex]y = \frac{3}{4}(x - 1)^2 + 4[/tex]

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

[tex]h = 1, k = 4[/tex]

The directrix is at y = 7, hence:

[tex]4 + 4a = 7[/tex]

[tex]a = \frac{3}{4}[/tex]

Hence, the equation is:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = \frac{3}{4}(x - 1)^2 + 4[/tex]

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Answer:

A.

  1. Plane

  2. Line

  3. Point

  4. Line

  5. Point

B.

  *Need To Draw

C.

  1. Acute

  2. Obtuse

  3. Obtuse/Straight

  4. Right

  5. Obtuse

Step-by-step explanation:

Answer: 5 toy cars

Step-by-step explanation: Hi there.

First, add the number of cars that he had, the number of cars he bought, and the number of cars he received for his birthday: 13+22+21=56

Then subtract your answer (56) from the number of toy cars he gave away to Wayne and his sister: 56-46-5=5

Therefore, Darrel has 5 toy cars left.

Have a nice day! :)

Answer:

Darrell has 5 toy cars left

Step-by-step explanation:

So he started with 13.

13

He buys 22 cars from the toy store.

+22

He gets 21 cars for his birthday.

+21

13 + 22 + 21 = 56

He has 56.

But he then gave 5 of them to his sister.

-5

He then gives 46 to his friend Wayne.

-46

56 - 5 - 46 = 5

He currently has 5 toys left.

In bold = numbers in the equations

Underlined = What happened for him to gain or to lose toy cars.

Answer:

m<1=76°

m<2=14°

Step-by-step explanation:

The angles are complementary since they make a right angle. That means they add up to 90 degrees.

[tex]4x+(x-5)=90\\5x-5=90\\5x=95\\x=19[/tex]

Then you input the variable into the original values to find each angle measure.

[tex]4x\\4(19)=76[/tex]

[tex](x-5)=\\(19-5)=14\\\\76+14=90[/tex]

Even though there are more people visiting the lodge now than there were five years ago, the lodge is making less money than it did five years ago due to inflation.

Thus, the fact that the Lodge has not increased its prices implies, in principle, a maintenance of the profit. Now, given that the costs necessary for the normal operation of the Lodge increase, on average, by 3% per year, the Lodge's profit margins will have been reduced by 15% in 5 years (5 x 3 = 15).

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Answer:

Brainliest pls

Step-by-step explanation:

−14x+29=0

Answer:

A = 11.7x

Step-by-step explanation:

We can take the equation we have and "plug in" the values of b and h.

A = [tex]\frac{1}{2}[/tex]bxh

A = [tex]\frac{1}{2}[/tex](4.5)x(5.2)

A = 11.7x

Without more context, this is as far as we can get.

Dilation scale factor:-

Hence he found the opposite scale factor which is for enlargement .

Answer:

D

Step-by-step explanation:

To find the scale factor of dilation, measure the distance between one of the points and the center of dilation for both the original shape and the dilated shape, then compare.

Distance from (0, 0) to point A = 9 units

Distance from (0, 0) to point A' = 2 units

Let x be the scale factor of dilation:

⇒ 9x = 2

⇒ x = 2/9

So the scale factor of dilation that reduces ΔABC to ΔA'B'C' is [tex]\sf \frac29[/tex].

Therefore, the mistake the friend made was finding the scale factor that enlarges ΔA'B'C' to ΔABC

Answer:

(637.50 - 200) / 17.50 = h

h = hours worked

Step-by-step explanation:

If you do (637.50 - 200) that will get you 437.5 which you just divide by 17.50 which gets you the amount of hours he worked (25)

Answer: 416 in^2

Step-by-step explanation:

a. Area of the Triangle x 2 + Area of Rectangle x 3

b. 8 x 7 / 2 x 2 + 8 x 15 x 3 = 56 + 360 = 416 in^2

Answer:

54

Step-by-step explanation:

length times width times height

Answer:

[tex](x-1)^2 + (y+4)^2 = 100\\\\[/tex]

=====================================================

Work Shown:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\[/tex]

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

to get r² we simply use the given radius,

here, r = 10

so, we get,

r² = 100

now, circle that is centered at (1,-4)

so, we have,

(x - 1)² + (y + 4)² = 10²

we get, equation in standard form is therefore

(x - 1)² + (y + 4)² = 100

Hence, The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

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Answer

the answer is C

Step-by-step explanation:

nothing

Answer:

0.09

Step-by-step explanation:

The correct ordinary number is, 0.09

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The number is,

⇒ 9 × 10⁻²

Now, We can find the ordinal number as;

⇒ 9 × 10⁻²

⇒ 9 / 10²

⇒ 9 / 100

⇒ 0.09

Thus, The correct ordinary number is, 0.09\

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Answer:

It is a reduction because it is smaller than the original one.

The scale factor is 1/3 because the dimensions of the dilated figure is 3 by 3 units, which is 1/3 of the dimensions of the original figure; 9 by 9 units.

Answer:

Reduction

Step-by-step explanation:

As size is decreased it's reduction

Take two sides

scale factor :-

Answer:

$15.25

Step-by-step explanation:

100% = 12.5

1% = 0.125

22% = 2.75

12.5+2.75=15.25

First you have to know how much 22% equals

[tex]12.5(0.22)=2.75\\[/tex]

Now that we know how much it is equivalent to, we just have to add the equivalence to the initial value

[tex]12.5+2.75=15.25[/tex]

Answer:

24.6

Step-by-step explanation:

to find x:

Add 4.6 to both sides so 20+4.6= 24.6

Find the value of x in 20 = x-4.6

x = 24.6

Given that,

bringing the variables left side and the constants the right side,

now, in order to find the value of the given variable,we'll add the constants,

Hence, 24.6 is the required solution to the equation

To verify whether our answer is correct,

we'll insert the value of the variable at it's place and check if LHS = RHS

henc, verified✓

Answer:

I think C

Step-by-step explanation:

Have a great day!

Please rate!

Step-by-step explanation:

Subtract 15 from both sides:

[tex]10x = 25 + 4x[/tex]

Subtract 4x from both sides:

[tex]6x = 25[/tex]

Divide each side by 6:

[tex]x = 4 \frac{1}{6} [/tex]

Answer:

x < -1

x > -13

Step-by-step explanation:

[tex]\dfrac{4|x+7|}{3}<8[/tex]

[tex]\implies 4|x+7|<24[/tex]

[tex]\implies |x+7|<6[/tex]

[tex]\textsf{Therefore} \ \ x+7<6 \ \ \textsf{and} \ -(x+7)<6[/tex]  

[tex]x+7<6[/tex]

[tex]\implies x<-1[/tex]

[tex]-(x+7)<6[/tex]

[tex]\implies -x-7<6[/tex]

[tex]\implies -x<13[/tex]

[tex]\implies x > -13[/tex]

Answer:

x < -1

x > -13

Step-by-step explanation:

Hello!

First, isolate the absolute value bracket:

Use the absolute value inequality rule:

[tex]|x| < y \text {, if y is} \geq 0:\\-y < x < y[/tex]

The solution is:

The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Before solving it, first let's discuss the tenth and hundredths,

Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

One and four tenths can be written as,

[tex]1\dfrac{4}{10}[/tex]

Nine and seventy-eight hundredths can be written as,

[tex]9\dfrac{78}{100}[/tex]

Let suppose the number is p. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,

[tex]p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\[/tex]

Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

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As no diagrams provided ,you cab solve according to the formulas provided below

Rectangle:-

Semicircle:-

r is radius

well, from the picture, we can see the cylinder has a diameter of 5 and thus it has a radius of half that, or 2.5, and a height of "h", so

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\pi (2.5)^2 h[/tex]