What is the area of the composite figure?
3 cm
7 cm
7 cm
o 54.25 cm2
o 49 cm?
70 cm
o 59.5 cm?

Answer:

8.8

Step-by-step explanation:

57-13=44

so the distance is 44 considering that it's on a number line.

Average speed = distance ÷ Time

44÷5=8.8

Answer:

22

Step-by-step explanation:

15+12=27

27-5=22

Answer:

The answer is " [tex](21120)_3[/tex]  and [tex](100011112)_3[/tex]"

Step-by-step explanation:

Calculating the sum:

[tex]a= (20001)_3 \\\\b= (1112)_3[/tex]

[tex]\to a+b = 20001+1112[/tex]                     // 163+41=204

             [tex]=(21120)_3[/tex]

Explanation:

In the addition, first convert the given value (a,b) into decimal point that is (163, 41) and by adding its value is equal to (204) and after convert its value is equal to [tex](21120)_3[/tex].

Calculating the product:

[tex]a= (20001)_3 \\\\b= (1112)_3[/tex]

[tex]\to a*b = 20001*1112[/tex]                //  163 *41=6,683

             [tex]=(100011112)_3[/tex]

Explanation:

In the product calculation we convert the given value (a,b) into decimal point that is (163, 41) and multiplting its value which is equal to (6,683) and after convert its value is equal to [tex](100011112)_3[/tex].

Answer:

To be complement sum of angle must be 90°

But to be supplement sum of angle must be 180°

Step-by-step explanation:

Answer:

4 pounds of candy

Step-by-step explanation:

2/3 pounds of candy each

6 bags

2/3 or 0.6 × 6 bags = 4 pounds

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

Answer:

B

Step-by-step explanation:

B is the most likely answer due to

13x.5=6.5

and

53x.25=13.25

13.25+6.5=19.75$

Now stop making a high schooler do your work xD

Answer:

x⁴ - y⁴= (x²)²- (y²)² = (x² + y²)(x²- y²) = (x²+y²)(x)²-(y)²=(x²+y²)(x+y)(x-y)

49x²-16/25= (7x)²- (4/5)²=(7x+4/5)(7x-4/5)

Answer:

(7x + 4/5)(7x - 4/5)

Step-by-step explanation:

iv. 49x² - 16/25

= (7x)² - (4/5)²

= (7x + 4/5)(7x - 4/5)

Answer:

A = $11117.25

Step-by-step explanation:

Given the following data;

Principal = $7,500

Interest rate = 3.975% = 3.975/100 = 0.03975

Number of times, n = 2

Time, t = 10 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]

[tex] A = 7500(1 + 0.019875)^{20}[/tex]

[tex] A = 7500(1.019875)^{20}[/tex]

[tex] A = 7500(1.4823)[/tex]

A = $11117.25

Answer:

A. 0.2734 = 27.34% probability that there are an equal number of boys and girls

B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly

Step-by-step explanation:

In each of these questions, the binomial probability distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

A.The Murray family has produced 8 children.

What is the probability that there are an equal number of boys and girls?

8 children means that [tex]n = 8[/tex]

Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]

This probability is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]

0.2734 = 27.34% probability that there are an equal number of boys and girls

B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?

80% accurracy rate means that [tex]p = 0.8[/tex]

7 questions means that [tex]n = 7[/tex]

The probability is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]

0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly

Answer:

area = 16 cm²

Step-by-step explanation:

area of rectangle = 3x4 = 12

area of triangle = 2x4x0.5 = 4

12 + 4 = 16 cm²

another way is :

1/2(b1+b2)(h) = area

1/2(3+5)(4) = 16 cm²

Answer:

14% od 2 gallons

Step-by-step explanation:

hope this helped also is this blue sign showing up saying something out exam mode?

Answer:

x=14/3

Step-by-step explanation:

5x-y=6

+ -2x+y=8

----------------

5x+(-2x)-y+y=6+8

5x-2x-y+y=6+8

3x=14

x=14/3

I apologize if something is incorrect, please me know how to fix it. Thank you!

Answer:

3x=14

Step-by-step explanation:

i did it on khan lol

Answer:

Radius = 5.996958 (They probably just want “6”).

Step-by-step explanation:

9.42x4=37.68 (perimeter)

Perimeter=2[tex]\pi[/tex]r

37.68÷2[tex]\pi[/tex]=r

5.996958=r

Answer:

may be the answer is (16,-9)

Answer: I am here to help and save the day....

Step-by-step explanation:

I hope I helped have a great day  bye.

Answer:

1122

Step-by-step explanation:

Answer:1122

Step-by-step explanation: Adding 848, to 274= 1122.

Answer:

36 quarters   48 dimes  64 nickels

Step-by-step explanation:

quarter = q

dime = q+12

nickel = 2q-8

$17 = 1,700 cents

(q)25 + (q+12)10 + (2q-8)5 = 1,700

25q +10q+120  +10q-40 =1,700

45q+80 = 1,700

45q = 1620

q= 36      

 36     QUARTERS x25 =  900cents

 48 DIMES    x10      =         480 cents

  64 NICKELS x 5 =             320 cents

  TOTAL                              1,700 cents ($17)

Answer:

[tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]

Step 2: Compute

Step-by-step explanation:

first u need to find the sum of the money then u can find the answer . u can check the picture above. i hope this help u

Answer:

1,3,4

Step-by-step explanation:

Answer:

1 3 4 / a b d

Step-by-step explanation:

Its the pythagorean theorum in reverse. :)

Answer:

The number is 4

Step-by-step explanation:

We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.

(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.

Thus we get the equation and solve:

5(x-7)= -15 (distributive property)

5x-35= -15 (add 35 to both sides)

5x=20 (divide by 5)

x=4; so the number is 4

Answer: It's the cost of the bananas

Answer:

I think the answer is 16 option b