15
2 pts
Find the area of the given shape,
a) 18
b) 15
c) 24
d) 21

Answer:

[tex]49\frac{3}{5}[/tex]

Step-by-step explanation:

Answer:

49 3/5

Step-by-step explanation:

First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.

Hope this helps

Answer:

0

Step-by-step explanation:

5x+10-4=13-7x-7

5x+6=6-7x

5x+0= -7x

0=-12x

Divide and u get x=0

Answer:

64

Step-by-step explanation:

You can figure it out by adding all the interior angles.

(180-75=105º)

(180-67=113º)

105+113+90=308º

The sum of interior angles is (n-2) × 180 so the sum in his case is

(5-2) ×180=540º

540º-308º=232º

However that is the sum of the two angles but since the angles are the same size, we can divide by 2

232º÷2=116º

We must remember that this is an interior angle so we now can calculate the value of y

180º-116º=64º

Answer:

(B)  If the spinner is spun 64 times, you would predict it to land on each section 16 times.

&

(D) The theoretical probability is 25% for each section.

I got this question right

Answer:

36 minutes

Step-by-step explanation:

The equation to determine the time together is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/90  + 1/ 60 = 1/c

Multiply each side by 180c to clear the fractions

180c( 1/90  + 1/ 60 = 1/c)

2c + 3c = 180

5c = 180

Divide each side by 5

5c/5 = 180/5

c =36

Answer:

since .875 > .857 Snail B is moving faster

Step-by-step explanation:

divide 6 by 7 to get the number of feet in one hour for Snail A

7 into 6 is .857

divide 7 by 8 to get the number of feet in one hour for Snail B

8 into 7 is .875

I believe the answer to this is:

Snail B went faster than Snail A.

Hope this helps! :D

9514 1404 393

Answer:

  infinite number of solutions

Step-by-step explanation:

The two equations describe the same line.

Adding 9y+15 to the second equation makes it be ...

  15 = 6x +9y

Dividing that by 3 gives you ...

  5 = 2x +3y . . . . . . identical to the first equation

The lines intersect at every point, so there are an infinite number of solutions.

the sum of two numbers that is 45 and their difference is 7 it is 39 and 6 more like 39+6

3 of 7 and the chances of getting red is 4 of 7

Step-by-step explanation:

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

Explanation:

The fraction 3/7 represents the probability of picking a blue marble since there are 3 blues out of 3+4 = 7 total.

Because the first marble is put back, this means the probability of picking blue does not change. So 3/7 is the probability of picking another blue marble.

Overall, we have (3/7)*(3/7) = 9/49 as the probability of picking two blues in a row.

Answer:

A. The slope of Function A is greater than the slope of Function B.

Step-by-step explanation:

The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.

Answer: a. $21

b. $14

Step-by-step explanation:

Selling price of desk organizer = $35

Markup rate = 60%

a. The markup will be:

= Markup rate × Selling price

= 60% × $35

= 0.6 × $35

= $21

Therefore, the markup is $21

b. The cost will then be:

Cost price = Selling price - Markup

= $35 - $21

= $14

Answer:

[tex]\displaystyle V = 2064.19 \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 7.9 cm

Step 2: Find Volume

Answer:

Proved

Step-by-step explanation:

The given data is:

[tex]11^n - 6[/tex] not [tex]11^{n - 6[/tex]

Required

Prove by induction that it is divisible by 5

Assume [tex]n = k[/tex]

So, we have:

[tex]11^k - 6 = 5p[/tex] where p is a positive digit

Rewrite as:

[tex]11^k = 5p + 6[/tex]

To solve further, we have to prove that [tex]11^k - 6[/tex] is true for [tex]n=k+1[/tex]

So, we have:

[tex]11^{k+1} - 6[/tex]

[tex]11^{k+1} - 6 = 11^k * 11 - 6[/tex]

Add 0

[tex]11^{k+1} - 6 = 11^k * 11 - 6 + 0[/tex]

Replace 0 with [tex]-5 +5[/tex]

[tex]11^{k+1} - 6 = 11^k * 11 - 6 - 5 + 5[/tex]

[tex]11^{k+1} - 6 = 11^k * 11 - 11- 5[/tex]

Factorize

[tex]11^{k+1} - 6 = 11 (11^k - 1)- 5[/tex]

Substitute [tex]11^k = 5p + 6[/tex]

[tex]11^{k+1} - 6 = 11 (5p + 6- 1)- 5[/tex]

[tex]11^{k+1} - 6 = 11 (5p + 5)- 5[/tex]

Factorize

[tex]11^{k+1} - 6 = 11 *5(p + 1)- 5[/tex]

Factorize

[tex]11^{k+1} - 6 = 5[11(p + 1)- 1][/tex]

The 5 outside the bracket implies that it is divisible by 5

Answer:

the quotient is 2

Step-by-step explanation:

4/1=4

4/2=2

Answer:$6.25

Step-by-step explanation:we have that

x------------------> represent the number of hours Steven babysits

y----------------- > represent the amount he charges

for x=6 hours

y=$37.50 ----------------> y/x=37.5/6=6.25

for x=8 hours

y=$50---------------------> y/x=50/8=6.25

therefore

y=6.25x

Answer:

[tex]x\approx 7.88[/tex]

Step-by-step explanation:

Since we are given the angle and the hypotenuse and we want to find the side opposite to the angle, we can use the sine ratio. Recall that:

[tex]\displaystyle \sin\theta^\circ =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Substitute:

[tex]\displaystyle \sin21=\frac{x}{22}[/tex]

Solve for x:

[tex]x=22\sin 21[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]x\approx 7.88[/tex]

The answer is C. No, the adjacent sides are not perpendicular.

Answer

D is the correct answer.

Reason

it is so because rectangle has adjacent perpendicular parallel sides with opposite sides equal

Answer:

The value of ∠b = 180°

Step-by-step explanation:

Given that;

ABC is a straight line

Another angle is 137°

Find:

The value of ∠a

The value of ∠b

Computation:

We know that, ABC is a straight line

So,

137 + The value of ∠a = 180

The value of ∠a = 180 - 137

The value of ∠a = 43°

The value of ∠b = 360 - 137 - The value of ∠a

The value of ∠b = 360 - 137 - 43

The value of ∠b = 180°

Answer:

w ≈ 21.053 inches

l ≈ 28.353 inches

Step-by-step explanation:

Answer:

[tex]\frac{5}{2}[/tex] or 2.5

Hope that this helps!

Answer:

A. 8

Step-by-step explanation:

sqrt{64} is 8 (8*8)

Answer:

8

Step-by-step explanation:

There are 8 members in each row

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

Answer:

20 = x

Step-by-step explanation:

All interiror angles in this triangle will equal 180

Set your formula up as 180 = x+5+7x-5+x then solve for x

180 = x+5+7x-5+x

180 = x + 7x + x +5 - 5

180 - 5 + 5 = 9x

180 = 9x

180 / 9 = x

20 = x

You can check your result by pluging in 20 for all x

180 = 20+5+7*20-5+20

180 = 180