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5.6‌ ‌Apprentice‌ ‌Homework‌ ‌
1.‌ ‌What‌ ‌fraction‌ ‌of‌ ‌the‌ ‌big‌ ‌rectangle‌ ‌does‌ ‌the‌ ‌
small‌ ‌rectangle‌ ‌represent?‌ ‌Explain‌ ‌your‌ ‌
reasoning.‌ ‌

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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:

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:

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]

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:

$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]

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:

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:

-29+7i

Step-by-step explanation:

(5+2i)(-3+i)

-15+5i-6i+2i²

i²=-1

Simplify

-17-i

Add c

c=4i(2+3i)

=8i+12i²

=8i-12

-17-i+8i-12

-29+7i

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.

Learn more about the inequality equation here:

https://brainly.com/question/17724536

Answer:

D

Step-by-step explanation:

3^5= 243

D) 3^8=6561

3^3=27

6561/27=243

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

To learn more on Equation:

https://brainly.com/question/10413253

Answer:

54

Step-by-step explanation:

length times width times height

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:

5/9

i got it right

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\

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

lima beans = 10

red beans = 8

black-eyed peas = 2

Step-by-step explanation:

Given 1/2 of the beans are lima beans:

⇒ 1/2 of 20 = 1/2 x 20 = 10

Given 2/5 of the beans are red beans:

⇒ 2/5 of 20 = 2/5 x 20 = 8

Given 1/10 of the beans are black-eyed peas:

⇒ 1/10 of 20 = 1/10 x 20 = 2

Lime beans:-

Red beans:-

Black eyed peas:-

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

the answer is C

Step-by-step explanation:

nothing

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:

Brainliest pls

Step-by-step explanation:

−14x+29=0

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

Rectangle:-

Semicircle:-

r is radius

Answer:

The unit rate is $6.25

Step-by-step explanation:

d = cost of each dvd

4d = 25

/ 4    / 4

d = 6.25

Each dvd costs $6.25

Check your answer:

4(6.25) = 25

25 = 25

This statement is true, which makes our answer true.

Hope this helps!

Answer:

I think C

Step-by-step explanation:

Have a great day!

Please rate!

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).

Learn more about inflation in https://brainly.com/question/1699650

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]

More can be learned about the equation of a parabola at https://brainly.com/question/26144898

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]

Answer:

dimensions: 6 x 7 x 5

volume: 432 ft³

volume of rectangular prism = width * height * length = whl

factoring the equation:

comparing we can find that:

If x = 3, each dimensions:

Volume of container when x = 4,

Answer:

3/10

Step-by-step explanation:

Since he draws a red marble first, now there are 10 marbles: 3 red, 3 yellow, and 4 blue. Since probability is desired outcome over total possibilities and your desired outcome is a red marble (3) and your total possibilities is 10, the answer is 3/10.