Given ABC = DCB; m A= 45°; m ABC = 3x;
m DBC = 30 and m ACB = 4y + 2, find the values of x and y.

The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

One bag contains 500 cubic inches of confetti.

Therefore,

1 bag = 500 inches³

The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

1 bag = 500 inches³

100,000inches³ = 1 container = 200 bags

Therefore,  

100 containers will contain 20, 000 bags of confetti.

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Using proportions, it is found that when the Axolotl was swimming, 8 breaks were taken.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, in each break there are 6 yards. How many breaks are there in 48 yards? Hence the rule of three is given by:

1 break - 6 yards.

n breaks - 48 yards.

Applying cross multiplication:

6n = 48.

n = 48/6.

n = 8.

8 breaks were taken.

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The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The median of first test is 60 while the second test is 80. Thus, the difference is,

[tex]d=80-60\\d=20[/tex]

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

[tex]n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8[/tex]

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

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Work Shown:

Old area = 12*15 = 180 square feet

New area = 18*22 = 396 square feet

Difference = New - Old = 396 - 180 = 216

The patio's area increased by 216 square feet.

Answer:

that is right because the bill is like a money service

Answer:

0≤x≥3

2≤y≥4

Step-by-step explanation:

The correct option regarding the domain and the range of the function is given by:

A. The domain is (-∞, ∞), and the range is (k, ∞).

An exponential function is given in the function, which has no restrictions, hence the domain is (-∞, ∞).

The range depends of the vertical shift given by k, hence it is given by (k, ∞).

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Answer:

The domain is (-∞, ∞) and the range is (k, ∞).

Step-by-step explanation:

Answer:

y = -2x + 10

Step-by-step explanation:

Answer:

(30,3)

Step-by-step explanation:

The coordinate of the fourth point is (30,3)

I hope ot helped you

Answer:

3 pounds of jellybeans will be in each package

Step-by-step explanation:

2/6=3

Answer:28

Step-by-step explanation:

complete the ratio 7:__ so that is equivalent to 1;4 the second number is missing 7;__. So compare the first numberof the two ratios 1:4 7:__ to get 7 from 1 multiply by 7, 4x7=28 this means 7:28 are equivalent to 1:4

Answer:

225

Step-by-step explanation:

125/5=25

25x4=100 men

100men:125women = 4:5

100+125=225 total

Answer:

x = 49

Step-by-step explanation:

Right angle so: 90 - 41 = x = 49

Answer: I need a diagram to answer this correctly

Step-by-step explanation: I do not have what is needed in order to answer this question

Answer:

88

Step-by-step explanation:

(fog)(-g) = f(g(-5))

g(-5) is 20

f(20) is 88

The composition of the function at x = -5,

(fog)(-5) = 88.

Let the two function f(x) and g(x) generate a new function h(x) using an operation.

The operation is composition of functions and h(x) is a composite function.

Given:

Two functions,

f(x) =4x + 8,

and g(x) = x² + x.

g(-5) = 20

The composition of the function at x = -5,

(fog)(-5) = f(g(-5))

(fog)(-5) = f(20)

(fog)(-5) = 20(4) + 8

(fog)(-5) = 88

Therefore, (fog)(-5) = 88

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Answer:

310 yd

Step-by-step explanation:

Perimeter = distance all the way around the outside of a 2D shape

Missing vertical length = 22 + 27 + 15 = 64

⇒ perimeter = 59 + 22 + 32 + 27 + 32 + 15 + 59 + (22 + 27 + 15)

                     = 59 + 22 + 32 + 27 + 32 + 15 + 59 + 64

                     = 310 yd

Break into three rectangles

Now total perimeter

Answer:

Part A: 1

Part B: 30

Step-by-step explanation:

First row contains the error

Correct no of apples should be 30

Answer:

the equation is

x - 4 = - 9

the number is

-5

Step-by-step explanation:

First, we don't know the number so we represent it with a variable like "x".

then difference simply means subtraction.

" is" simply means = ( equal to)

so the question says that difference of 4 and a number is 9 so we have x - 4 = -9

so now let's solve for x

we group liked terms and make x stand alone.

x = -9 + 4

( +4 because it crossed an equal sign)

x = - 5

we have

x = -5

so we can substitute the -5 into the equation to if its true

from the equation x - 4 = - 9

where we put -5 instead of x

-5 - 4 = - 9

Answer:

y=4x+19

Step-by-step explanation:

(-5,-1)

-1=4(-5)+b Multiply 4 and -5

-1=-20+b Add 20 to -1

19=b

b=19

The amount of groundwater that California pumps per day are 2.4 times more than in Texas.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

California pumps about 1.74 × 10¹⁰ gallons of groundwater each day.

Texas pumps about 7.25 × 10⁹ gallons of groundwater per day.

Then the ratio of the amount of water between California  and Texas will be

[tex]\rm \dfrac{California}{Texas} = \dfrac{1.74 \times 10^{10}}{7.25 \times 10^9}\\\\\\California \ = 2.4 \times Texas[/tex]

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1/2 (1q) = 4

insert extra text here

Answer:

If one month, it's 20.000%

then what of 12 months

>20,000×12= 240000% in a year.

Answer:

60°

Step-by-step explanation:

By inscribed angle theorem

[tex]m(\widehat{PR}) = 2m \angle PQR \\ \\ \implies \: m(\widehat{PR}) = 2(30 \degree) \\ \\ \implies \: m(\widehat{PR}) =60 \degree[/tex]

The number of fourth graders enrolled in the school is 48.

The number of fifth graders enrolled in the school is 42.

Division is the process of determining the quotient of a number by grouping a number into equal groups using another number.

Number of fourth graders = 8 ÷ 1/6

8 x 6 = 48

Number of fifth graders = 14 ÷ 1/3

14 x 3 = 42

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Parallelogram

Area

S = ah

a = 5 in + 2 in = 7 in

h = 2 in

S = 7 in x 2 in = 14

Answer:

rounded to the nearest whole number = 166

Step-by-step explanation:

Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.

If you found this answer helpful, I would appreciate it if you gave me brainliest :D

Answer

now i'm going to say i'm not 100% sure but i think its 168

Step-by-step explanation:

[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]

[tex]\Large\text{65,536}[/tex]

In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)

Simplify as follows :

(4²)⁴ = 4⁽²ˣ⁴)=4⁸

4 times itself 8 times simplifies to :

[tex]\footnotesize\text{hope\:helpful~}[/tex]