The sum of two numbers is 22 and the sum of their squares is 250. Find the following information numbers

Answer:

A) rectangular prism

Explanation:

The base is a rectangle, not a pentagon nor hexagon. So B and D are out.

The difference between a prism and a pyramid is the shape.

Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.

There is no pointy top on the object, so it is a rectangular prism.

Answer:

The answer is

[tex] \huge y = - \frac{5}{4} x - 3[/tex]

Step-by-step explanation:

To find an equation of a line in when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]

We have the final answer as

[tex]y = - \frac{5}{4} - 3 \\ [/tex]

Hope this helps you

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ [tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

Answer:

15 dimes

Step-by-step explanation:

6 quarter = 1.50$

150 / 10 = x amount of dimes

X amount of dimes = 150$

15 dimes = 1.50$

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

6 quarters is in total 1.50, so youll need a total of 15 dimes in order to have the same amount of 6 quarters

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: Answer: The answer should be 11 9/10.

Answer: 92 or 119

in 4 months, 2 months with 30 days per month,  2 months with 31 days per month

suppose: the number to find is X

have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122

if X is a number has 2 digits => X is xy

=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]

=> xy = 92

if X is a number has 3 digits => X is abc

we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]

because 100 ≤ abc < 122 => a = 1; b = 0 or 1

+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)

+) if a = 1, b = 1 => c = 9

=> abc = 119

=> X is 92 or 119

Step-by-step explanation:

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

The fraction is 5000/3.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

Learn more about percent here:

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Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

Step-by-step explanation:

Given

Then the sum and product of the roots are:

(i) Roots are α + 1 and β + 1, then we have:

(ii) Roots are 2 - α and 2 - β, then we have:

(iii) Roots are α² and β², then:

(iv) Roots are 1/α and 1/β, then:

(v) Roots are 2/α² and 2/β², then:

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

Answer:

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

Read more on prime numbers;

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Answer:

k=-14

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

Answer:

B

Step-by-step explanation:

.99*6= 5.94

Answer:

B. 5.94

Step-by-step explanation:

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.