Andrea, Beth, & Cathy's ages are consecutive whole numbers. Andrea is the youngest, and Cathy is the oldest. The sum of their ages is 54. How old is Cathy?

Answer:

G could be at either 14 or at -6.

Step-by-step explanation:

Answer:

Each value has been identified below.

Step-by-step explanation:

(1) We have to describe two ways the numbers in each proportion are related;

(a) 5 : 20 = 125 : 500

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

20 [tex]\times[/tex] 125 = 5 [tex]\times[/tex] 500

2500 = 2500

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 5 : 20 = 125 : 500

We will check that; [tex]\frac{5}{125}[/tex] is equal to [tex]\frac{20}{500}[/tex] or not.

[tex]\frac{5}{125} = \frac{20}{500}[/tex]

[tex]\frac{1}{25} = \frac{1}{25}[/tex]

This shows that the given proportion is related.

(b) 10 : 1 = 120 : 12

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

1 [tex]\times[/tex] 120 = 10 [tex]\times[/tex] 12

120 = 120

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 10 : 1 = 120 : 12

We will check that; [tex]\frac{10}{120}[/tex] is equal to [tex]\frac{1}{12}[/tex] or not.

[tex]\frac{10}{120} = \frac{1}{12}[/tex]

[tex]\frac{1}{12} = \frac{1}{12}[/tex]

This shows that the given proportion is related.

(c) 75 : 25 = 300 : 100

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

25 [tex]\times[/tex] 300 = 75 [tex]\times[/tex] 100

7500 = 7500

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 75 : 25 = 300 : 100

We will check that; [tex]\frac{75}{300}[/tex] is equal to [tex]\frac{25}{100}[/tex] or not.

[tex]\frac{75}{300} = \frac{25}{100}[/tex]

[tex]\frac{1}{4} = \frac{1}{4}[/tex]

This shows that the given proportion is related.

(d) 1 : 3 = 16 : 48

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

3 [tex]\times[/tex] 16 = 1 [tex]\times[/tex] 48

48 = 48

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 1 : 3 = 16 : 48

We will check that; [tex]\frac{1}{16}[/tex] is equal to [tex]\frac{3}{48}[/tex] or not.

[tex]\frac{1}{16} = \frac{3}{48}[/tex]

[tex]\frac{1}{16} = \frac{1}{16}[/tex]

This shows that the given proportion is related.

(2) Now we have to determine each value of n in the following given ratios;

(a) 2 : 5 = 8 : n

As we know that Product of means = Product of extremes

5 [tex]\times[/tex] 8 = 2 [tex]\times[/tex] n

40 = 2n

[tex]n=\frac{40}{2}[/tex] = 20

Hence, the value of n is 20.

(b) 2 : n = 6 : 9

As we know that Product of means = Product of extremes

n [tex]\times[/tex] 6 = 2 [tex]\times[/tex] 9

6n = 18

[tex]n=\frac{18}{6}[/tex] = 3

Hence, the value of n is 3.

(c) n : 5 = 12 : 20

As we know that Product of means = Product of extremes

5 [tex]\times[/tex] 12 = n [tex]\times[/tex] 20

60 = 20n

[tex]n=\frac{60}{20}[/tex] = 3

Hence, the value of n is 3.

(d) 8 : n = 4 : 15

As we know that Product of means = Product of extremes

n [tex]\times[/tex] 4 = 8 [tex]\times[/tex] 15

4n = 120

[tex]n=\frac{120}{4}[/tex] = 30

Hence, the value of n is 30.

(3) Now we have to determine each value of z in the following given ratios;

(a) 4 : 8 = 3 : z

As we know that Product of means = Product of extremes

8 [tex]\times[/tex] 3 = 4 [tex]\times[/tex] z

24 = 4z

[tex]z=\frac{24}{4}[/tex] = 6

Hence, the value of z is 6.

(b) 5 : z = 6 : 18

As we know that Product of means = Product of extremes

z [tex]\times[/tex] 6 = 5 [tex]\times[/tex] 18

6z = 90

[tex]z=\frac{90}{6}[/tex] = 15

Hence, the value of z is 15.

(c) z : 14 = 10 : 20

As we know that Product of means = Product of extremes

14 [tex]\times[/tex] 10 = z [tex]\times[/tex] 20

140 = 20z

[tex]z=\frac{140}{20}[/tex] = 7

Hence, the value of z is 7.

(d) 3 : 21 = z : 56​

As we know that Product of means = Product of extremes

21 [tex]\times[/tex] z = 3 [tex]\times[/tex] 56

21z = 168

[tex]z=\frac{168}{21}[/tex] = 8

Hence, the value of z is 8.

Answer:

6

Step-by-step explanation:

-3(1/3)+7

6...this is it

Answer:

x = -7

Step-by-step explanation:

I hope this helps!

Hi there!

~

[tex]116 = -2x - 3(1 + 5x)[/tex]

= [tex]x = -7[/tex]

Hope this helped you!

Answer:

n/15

Step-by-step explanation:

Step-by-step explanation:

(1 ⅓ yd²) / (8/9 yd²)

(4/3 yd²) / (8/9 yd²)

(4/3) × (9/8)

3/2

1.5 / 1

Answer:

[tex]\qquad {:}\longrightarrow\tt 1\dfrac {1}{3}=\dfrac{4}{3}[/tex]

[tex]\qquad {:}\longrightarrow\displaystyle\tt \dfrac {\dfrac {4}{3}}{\dfrac {8}{9}}[/tex]

[tex]\qquad {:}\longrightarrow\tt \dfrac {4}{3}\times \dfrac {9}{8}[/tex]

[tex]\qquad {:}\longrightarrow\tt \dfrac {36}{24}[/tex]

[tex]\qquad {:}\longrightarrow\tt \dfrac {3}{2}[/tex]

[tex]\qquad {:}\longrightarrow\tt 1.5 \:per\:unit[/tex]

For the first pic:

S= (3,4)

U= (-4,0)

V= (1,-2)

T= (-2,-3.5)

I hope this helped! Sorry if you get this wrong! :)

Answer:

3

Step-by-step explanation:

Answer:

Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.

Step-by-step explanation:

Simplify numbers to layman terms.

[tex]\frac{\pi}{2}[/tex] will be a little more than [tex]\frac{3}{2}[/tex], since [tex]\pi[/tex] is 3.14.

[tex]-\sqrt{18}[/tex] will be a little less than -4, since [tex]-\sqrt{18}<-\sqrt{16}[/tex].

[tex]\sqrt{18}[/tex] will be a little more than 4, since [tex]\sqrt{18}>\sqrt{16}[/tex]

[tex]-\sqrt{7}[/tex] will be a little less than -2, since [tex]-\sqrt{7}<-\sqrt{4}[/tex]

Now we can order them.

[tex]-\sqrt{18},-\sqrt{7},\frac{\pi}{2},\sqrt{18}[/tex]

Hope this helps.

頑張って!

Answer:

1: negative square root of 18 (-4.2)

2: negative square root of 7 (-2.6)

3: pi/2 (1.57)

4: square root of 15 (3.9)

some are approximate calculations, but you only need the order of from smallest to largest number

Answer:

[tex]Y^4[/tex]

Step-by-step explanation:

Given:

Y to the fourth Power

Required

Express using mathematical expression

In mathematics;

To the nth power means raise to the power of n

In this case;

to the fourth Power means raise to the power of 4

Hence;

Y to the fourth Power = Y raise to the power of 4

And this can be represented mathematically as:

[tex]Y^4[/tex]

Answer:

$360

Step-by-step explanation:

i added 20%+20%=40% so you turn 40% into.40 then you multiply 600×.40 to get 240 since it is discounted you have to subtract so you subtract 600-240 to get 360 which is your final product

Answer:

4 x + -43

Step-by-step explanation:

Simplify the following:

7 (x - 4) - 3 (x + 5)

Hint: | Distribute 7 over x - 4.

7 (x - 4) = 7 x - 28:

7 x - 28 - 3 (x + 5)

Hint: | Distribute -3 over x + 5.

-3 (x + 5) = -3 x - 15:

7 x + -3 x - 15 - 28

Hint: | Group like terms in 7 x - 3 x - 28 - 15.

Grouping like terms, 7 x - 3 x - 28 - 15 = (7 x - 3 x) + (-28 - 15):

(7 x - 3 x) + (-28 - 15)

Hint: | Combine like terms in 7 x - 3 x.

7 x - 3 x = 4 x:

4 x + (-28 - 15)

Hint: | Evaluate -28 - 15.

-28 - 15 = -43:

Answer: 4 x + -43

Answer:

4x – 43

Step-by-step explanation:

Answer:

He added the exponents instead of multiplying them

Step-by-step explanation:

When a power is raised to a power (in this case, -8 was raised to the -2) the exponents should be multiplied, not added. So instead of j^-10 it should be j^16.

Answer:

17.

Step-by-step explanation:

We know that NP = NO + NP because all the points are on the same line.

So 2x = 10 + (x + 7),

x = 17.

Answer: Its 8

Step-by-step explanation:

Answer:

you can infer she likes to dress up in whatever style she likes.

Step-by-step explanation:

Answer:

= (- 475)

Step-by-step explanation:

Given:

(-5) × (-5) × ... × (-5) = (-5)95

Find:

Sign of the product

Computation:

(-5) × (-5) × ... × (-5) = (-5)95

= (- 475)

No, it is not compulsory to do all calculation to find sigh of product

Negative number × odd time = Negative number

Negative number × even time = Positive number number

5.352

Hoped this helped.

Please add brainliest :)

Good luck mate ;) !

Answer:

first one -4+3 is -1 not 1

Answer:

The first one

−4+3=−1

Answer:

he won't, he will need more

Step-by-step explanation:

The answer to this D=A(c-B)

Answer:

Step-by-step explanation:

Answer:

the area of the space he can cover with carpet =  16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet =  A+B+C+D

the area of the space he can cover with carpet =  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards²

the area of the space he can cover with carpet =  16x⁴ yards²

Answer:

See below.

Step-by-step explanation:

1)

Triangle

Perimeter = sum of lengths of the 3 sides

Area = base * height/2

Perimeter = 9 m + 10 m + 11 m = 30 m

Area = 10 m * 8 m /2 = 40 m^2

5)

Parallelogram

Perimeter = sum of lengths of 4 sides.

Hint: opposite side have equal lengths

Area = base * altitude

Perimeter = 9 m + 9 m + 7 m + 7 m = 32 m

Area = 9 m * 6 = 54 m^2

6)

Triangle

Do the same as for problem 1.

8)

Triangle

Do the same as for problem 1.

10)

Parallelogram

Do the same as for problem 5.

Try problems 6, 8, 10 on your own. Write the answers for each in the comments, and I will tell you if you're correct and will help you if you need help.

Answer:

If we claim that his ability to hit a target is 85% it means that he normally hits 17 out of 20 targets or 85 out of every 100 targets

Step-by-step explanation:

Percentage is the mathematics term for a ratio of numbers expressed in terms multiple of 100 and denoted by the symbol %. The percentage value has no unit and is used to compare proportion of items or to serve as a visible guide to the relative proportion event occurrence or prevalence of a characteristics within a population.

In the question, we have, the athlete's hitting average given as 85% of targets which means when presented with 20 targets, he is expected to hit 85% of the targets which is 0.85 × 20 = 17 hits.

Answer:

Consecutive integers:

x

(x+1)

(x+2)

Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:

x+2(x+2) = 4(x+1)-5

Step-by-step explanation:

Answer:

10, 11 and 12.

Step-by-step explanation:

Let the integers be x, x+1 and x+2. Then:

x + x+2 = 22

2x = 22 - 2 = 20

x = 20/2

x = 10.

Answer:

A

Step-by-step explanation:

58=58