Use PEMDAS to evaluate the expression 8 x 4 − 21 ÷ 3 + 5.

30
32
34
36

Answer:

square: 4 1/2 trangle: 2 1/2

Step-by-step explanation:

78=.75x or $78 is 75% of the original price before the discount 78/.75=x x=104 is the original price proof 104-(.25*104)=78 104-26=78 78=78

Answer:

714m^2

Step-by-step explanation:

So, as we said in the comments, since they didn't give the radius, we have to assume the center is a square. That means the area of the center part is 20m x 20m, and the diameter of the circular ends is 20m as well.

Area of center: 20 x 20 = 400m^2

Area of ends:

Area = (pi)(r)^2

The radius = 1/2 the diameter = 10m

Area = (3.14)(10)(10)

Area = 3.14 x 100 = 314m^2

Now, if it only had one semicircle on the end like your previous question, we'd have to divide this answer by 2, but the circular area we just calculated covers both ends, so the total area = the square center + the circular area

400 + 314 = 714m^2

Answer:

12

Step-by-step explanation:

Consider the number of children to be '[tex]x[/tex]'

So, 144 coins were divided among '[tex]x[/tex]' children

For [tex]x-3[/tex] children, each child would have 16 coins

So now, solve the equation [tex](x-3)*16=144[/tex]

Solving for [tex]x[/tex]:

[tex](x-3)*16=144[/tex]

[tex]x-3=\frac{144}{16}[/tex]

[tex]x-3=9[/tex]

[tex]x=9+3[/tex]

[tex]x=12[/tex]

Therefore, there are 12 children.

Answer:

24 cracks will be filled

Step-by-step explanation:

Here, the first question asks how to convert 3 pounds to ounces.

we can do this using a mathematical approach. To convert pounds to ounces, we need to know that there are 16 ounces in a pound. so to convert pounds to ounces, we just need to multiply the number of pounds we have by 16 to get the equivalent number of ounces.

The second question asks to give the number of cracks that be repaired.

From the question, we were made to know that each of the cracks would eat up 2 pounds of cement to be filled.

Let’s calculate the amount of cement we have. That would be 3 * 16 = 48 ounces of cement.

The amount of cracks to be filled is thus 48 ounces/2 ounces = 24 cracks

Answer:

a=4

Step-by-step explanation:

100/a=25

100/25 =a

a=4

Answer:2.04 %

Step-by-step explanation:

Answer:

9 + 35x = 310

Step-by-step explanation:

Answer:

B. The ratio of the area of the scale drawing to the area of the painting is 1:16

C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4

Step-by-step explanation:

The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths

Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,

The ratio of the area of the scale drawing to the painting = 1²:4²

= 1:16

Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4

Answer:

0.2143 probability that all of them practice satirical.

Step-by-step explanation:

The comedians are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

8 comedians means that [tex]N = 8[/tex]

6 practice satirical means that [tex]k = 6[/tex]

Sample of 4 means that [tex]n = 4[/tex]

What is the probability that all of them practice satirical?

This is P(X = 4). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,8,4,6) = \frac{C_{6,4}*C_{2,0}}{C_{8,4}} = 0.2143[/tex]

0.2143 probability that all of them practice satirical.

Step-by-step explanation:

When a die is rolled, here it's Total possible outcome is= 6

and sample space is = 2 ( i.e. 1 & 2)

So. Probability of getting less than 3 = 26

=13

That's it

Answer:

D. S’ is the result of switching coordinates of S.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90°  counterclockwise about the origin, the new point is A'(-y, x).

Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90°  counterclockwise about the origin, the new point is at  S'(y, x). S’ is the result of switching coordinates of S

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  [tex]\pm 1[/tex]

Denominator: [tex]\pm 2[/tex]

That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]

Try them both by plugging them into the polynomial.

[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]

Aha!  The negative one-half value does not produce 0

Answer:

48

Step-by-step explanation:

the answer is 48 because according to the results 48% of people prefered given device and 48% of 100 is 48

Answer:

431 mi

Step-by-step explanation:

276 mi = 0.64 x total distance

---> total distance = 276 mi / 0.64 = 431 mi

Answer:

vetting L yenigun . mero stari bonjeria

Answer:

x=9 since 2x9=18 and 18-8=10

Answer:

36

Step-by-step explanation:

Work out the terms inside the parenthesis from x = 2 to x = 5. Hint: there will be 4 terms.

x = 2 ---> 0

x = 3 ---> 1

x = 4 ---> 2

x = 5 ---> 3

The sigma symbol means that you have to add them all up so the sum is 6. Therefore,

(6)^2 = 36

Answer:

36

Step-by-step explanation:

Sum the terms (x - 2) for x = 2 to 5 then square the result

[ (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) ]²

= ( 0 + 1 + 2 + 3 )²

= (6)²

= 36

Answer:

Step-by-step explanation:

sin(110°) / AC  = sin(40°) / 12

now use algebra skillz to solve for AC

12*sin(110°) / sin(40°) = AC

17.5 =AC

Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

Total amount Omar earn = [240][5 / (5+9+10)]

Total amount Omar earn = [240][5 / (24)]

Total amount Omar earn = [24][5]

Total amount Omar earn = $120

Answer:

the answer is none

Step-by-step explanation: It's not the same shape so it can't be either of these choices.

Answer:

none!

Step-by-step explanation:

not same shape

Answer:the answer is B ,

Step-by-step explanation: just took the test .

Answer:

3. 9

4. 7.92

Step-by-step explanation:

3x3x3

2.2 x 2 x 1.8

i cant do 5 rn i gtg eat hope this helps

Answer:

first blank is 90/100

second blank is 145/100

Step-by-step explanation:

Answer:

Since -1/2 is not a integer it is rational number.

Answer:

Liana is correct

Step-by-step explanation:

Note the numbers in set

-1/2 is not an integer so Liana is correct

Answer:

Uniform Shirt:$48

Step-by-step explanation:

12×4=48 for four shirt uniforms other two are free so final answer is $48 of Uniform shirt.

Hope this help you

Answer:

Hi! The answer to your question is y = 9

Step-by-step explanation:

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