2) The sum of two numbers is 100. Their difference is 4. What are the two numbers?

Answer:

210

Step-by-step explanation:

This is the problem of combination.

Number of ways of choosing x thing out n different thing is given by

[tex]{n \choose x} = n!/x!(n-x)![/tex]

___________________________________________

The number of bridesmaids = 10

number of bridesmaids, bride can choose = 4

Thus, Number of ways of choosing 4 bridesmaids thing out 10 bridesmaids  is given by

[tex]{10 \choose 4} = 10!/4!(10-4)! = 10!/4!6!\\=> 10*9*8*7*6!/4*3*2*1 *6! = 5*3*2*7 = 210[/tex]

Thus,  in 210  ways can she choose 4 bridesmaids.

Answer:          210

Step-by-step explanation:

Answer:

1) The worker can keep the soup in a container with a large surface area as evaporation will occur faster

2) The worker and keep the soup near a fan, cooling the soup

3) The worker keep the soup in a dry area as moisture reduces the rate of evaporation

Answer:

Yes,it is

Step-by-step explanation:

Answer:

120 cm^2

Step-by-step explanation:

area of a rhombus is pq/2

that means that the product of the two diagonals divided by 2 is the area of the rhombus.

so that means one diagonal is 24 and one is 10, (we are given what half of both diagonals are so just multiply by 2)

now put it in the formula

24x10 = 240

now divide by 2

240/2 = 120

check again with google if u disagree

Answer:

8 inches

Step-by-step explanation:

ROCK is a kite. The area of a kite is denoted by:

A = (1/2) * d1 * d2, where d1 and d2 are the diagonals

Here, the two diagonals are x and 15, and we know the area is 60, so plug these into the equation:

A = (1/2) * d1 * d2

A = (1/2) * 15 * x

60 = (1/2) * 15 * x

x = 120 / 15 = 8

Thus, x = 8 inches.

Answer:

[tex]8 \: \: inch[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

21.35 [tex]ft^{3}[/tex]

Step-by-step explanation:

It is given that the box is a triangular prism.

Side of Base of prism = 7 ft

Height of Base of prism = 6.1 ft

Area of a triangle is given as:

[tex]B = \dfrac{1}{2} \times \text {Base} \times \text{Height}[/tex]

[tex]\Rightarrow \dfrac{1}{2} \times 7 \times 6.1\\\Rightarrow 21.35\ ft^{2}[/tex]

Volume of a prism is:

[tex]V = B \times h[/tex]

B is the area of base of prism

h is the height of prism

Here, h = 1 foot

So, V = 21.35 [tex]\times[/tex] 1

Volume of prism is = 21.35 [tex]ft^{3}[/tex]

Sand required to fill the triangular prism shape box is 21.35 [tex]ft^{3}[/tex].

Answer:

6x²+11x-3

Step-by-step explanation:

5x²+2x+x²+9x-3=

6x²+11x-3

You can't put the x² and x together since you don't know what x is.

Add terms that have only x together and terms that only have x² together and terms that have neither x or x²

5x to the second power with x to the second power

2x with 9x

3 is by its self

Answer:

[tex]a^{8} b^{8}[/tex]

Step-by-step explanation:

First, remember that [tex]x^{a} *x^{b} =x^{a+b}[/tex]

[tex]a^{5+3} b^{3+5}[/tex]

Simplify (5+3 and 3+5)

[tex]a^{8} b^{8}[/tex]

Hope this helped! :]

Answer:

Step-by-step explanation:

hello :

(a^5b^3)(a^3b^5)=a^8b^8=(ab)^8

Answer:

The whole numbers between 3.75 and 6 is 4 and 5

Answer:

2x + 3y = 46

3x + 5y = 74

Multiply 1st equation by 3 and 2nd equation by 2:

6x + 9y = 138

6x + 10y = 148

Subtract 2nd equation to 1st equation:

=> y = 148 - 138 = 10

=> 2x + 3*10 = 46

=> 2x = 16

=> x = 8

Hope this helps!

:)

Answer:

C

Step-by-step explanation:

If there are 45 balloons total, and there are more balloons, you will know that the blue balloons will have a higher ratio. The answer is C. 5:4.

Answer:

5: 4

Step-by-step explanation:

Answer:

$1.98

Step-by-step explanation:

125.89 x 0.0157 = 1.97 rounded to 1.98

Was this helpful?

Answer:

71.1%

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

Answer:

1/2

Step by step explanation:

The correct answer should be A.

First consider that 2357/1180 is around 2. So the first part must have the answer of times 2. Then decide how many zeroes must be added. By simple math if you do 118,000,000,000 * 20 (which is ) then you get 2,360,000,000,000. which is roughly the correct number.

The correct answer should be A.

First, consider that 2357/1180 is around 2.

Estimation is the process of finding the number which is close enough to the exact solution. But it is not an exact answer.

So the first part must have the answer of times 2.

Then decide how many zeroes must be added. By simple math if you do 118,000,000,000 * 20.

Then you get 2,360,000,000,000.

which is roughly the correct number.

To learn more about multiplication visit:

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Answer:

D. 114ft2

Step-by-step explanation:

So i checked the question online and i believe the part "a scale where 12 inch corresponds to 6 feet" should be "a scale where 1/2 inch corresponds to 6 feet"

In that case, a scale where 1/2 inch corresponds to 6 feet means

scale = 1inch to 12 feet

On the floor plan, Alexis' room is 1in by 1in

-> in reality, alexis' room is 12ft by 12ft

-> a scale where 1/2 inch corresponds to 6 feet

Answer:

the correct answer is b .

Step-by-step explanation:

Answer:

It is going to be 16 ft because

26 ft - 10 ft = 16 ft

can u mark me brainliest plz

Answer:

the top of the ladder is at 24 feet from the ground

Step-by-step explanation:

Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:

[tex]side_2=\sqrt{hyp^2-side_1^2}\\ side_2=\sqrt{26^2-10^2} \\side_2=\sqrt{676-100} \\side_2=\sqrt{576} \\side_2=24\,\,ft[/tex]

Answer:

Y=-4x+6

Step-by-step explanation:

Step 1: Add -x to both sides.

X+0.25y+-x=1.5+-x

0.25y=-x+1.5

Step 2: Divide both sides by 0.25.

0.25y/0.25=-x+1.5/0.25

Y=-4x+6

Hope I helped

Answer:

Step-by-step explanation:

rule for line c: y=x+3

x  y

0  3

1  4

2  5

3   6

I was able to determine the rule because line c has a slope (m) of 1 (it goes up one and sideways one each time). Its y int. is at 3, so that means 3 is b in the equation y= mx+b

Rule for line D: y=1/2x

x y

0 0

2 1

4 2

6 3

Line d is y=1/2x becaise it goes up 1 and then sidewys 2, so slope (m)= 1/2. There is no b becase it crosses the origin.

(-2,-1) (-4,-2) (-6, -3) just extend the line with a ruler.

hope this helps! :)

Answer:

17,148.58

Step-by-step explanation:

[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ = \frac{4}{3} \times 3.14 \times 16 \times 16 \times 16 \\ = 17,148.58[/tex]

It asked for width to length, so it is really important to put the width on top and the length on bottom.

46mm

_____

84mm

Reduce the fraction, if you can use a calculator you do not need to show this part.

46/2

____

84/2

Answer: $9362.36

Step-by-step explanation:

A = P(1 + r/n)^nt

After 18 years, this investment will be worth of  $9,379.45.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,

P = Initial amount

R = Annual rate of interest as a percentage

n = Number of compounding periods in a given time

Given,  Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.

From the above formula of compound interest

Total amount  A = P(1 + r/n)^nt

In our case

p = 5000

r = 3.5%

t = 18 years

Thus,

Total amount = 5000( 1 + 3.5%)^18

Total amount = $9,379.45

therefore, this investment will be worth $9,379.45 after 18 years.

Learn more about compounded interest here:

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Answer:

The zeros are x = 1 and x = 3

In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.

Step-by-step explanation:

Given the expression:

x² - 4x + 3

Rewrite -4x term:

x² - x - 3x + 3

Take x as common factor in the first terms, and -3 in the last terms:

x(x - 1) - 3(x - 1)

Take (x - 1) as common factor:

h(x) = (x - 1)(x - 3)

Answer:

Yeah it's D

Step-by-step explanation:

Answer:

c) Quadratic Formula

Answer:

What needs to be answered? There's no question.

Step-by-step explanation:

Answer:

$45 for the cost and 9 for the perimeter.

Step-by-step explanation:

hope it helps you !!

Answer: perimeter is 96 ft

and it will cost 160

Step-by-step explanation:

Answer:

$4.20

Step-by-step explanation:

you first do 1.75 divided by 5 which gives you .35

so you do .35 times 12 which gives you 4.2

The price of a 12-minute phone call is  $4.2.

We have given that,

The price of a 5-minute phone call is $1.75.

We have to determine, the price of a 12-minute phone call.

A price is the (usually not negative) quantity of payment or compensation given by one party to another in return for goods or services.

We first 1.75 divided by 5 which gives you .35

That is,

[tex]\frac{1.75}{5} =0.35[/tex]

[tex](0.35)( 4)=4.2[/tex]

0 .35 times 12 which gives  $4.2.

Therefore the price of a 12-minute phone call is  $4.2.

To learn more about the price visit:

https://brainly.com/question/1153322

Answer:

1.22 s

Step-by-step explanation:

h = -810t² + 1980t

This is the equation of a parabola.

We must solve the equation to find the maximum height (h).

The coefficient of x² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

Calculation:

h = -810t² + 1980t

Divide both sides by -810 to make the coefficient of  t² equal to 1.

(-1/810)h = t² - (22/9)t

Square half the coefficient of t

(-11/9)² = 121/81

Add and subtract it on the right-hand side

(-1/810)h = t² - (22/9)t  + 121/81 - 121/81  

Write the first three terms as the square of a binomial

(-1/810)h = (t - ¹¹/₉)² -121/81

Multiply both sides by -810

h = -810(t - ¹¹/₉)² + 1210

You have converted your equation to the vertex form of a parabola:

y = a(t - h)² + k = 0,

where (h, k) is the vertex.

h = ¹¹/₉ and k = 1210, so the vertex is at (¹¹/₉, 2100).

The maximum height of the rocket is 2100 cm.

After ¹¹/₉ s ≈ 1.22 s, the rocket will have reached a height of 1210 cm.

The graph below shows the rocket reaching 1210 cm at 1.22 s.