Annie and Emily are sisters. Emily’s age is 7 more than twice Annie's age, a. The sum of their ages is 45. Which equation represents this relationship?

Answer:

Mrs. Kitty runs faster

Step-by-step explanation:

We can find this out by converting the units from feet to inches so that we can compare the two speeds.

30 x 12 = 360

Mr. Kitty can run 360 inches per second

Mrs. Kitty can run 385 inches per second

(sorry if this is confusing but I hope it helped)

Answer:

Mrs. Kitty is faster

Step-by-step explanation:

30x12=360 inches

360<385 inches

-Meow

Answer:

the answer should be s 160

Answer:

Subtract to eliminate y

Step-by-step explanation:

it is the easiest to eliminate first since 7y and -7y are opposites.

I'm guessing this is one of those problems where u find both y and x .... but yeah its the 3 option

Answer:

Option 'C i.e. Subtract to eliminate y' is the correct option.

Step-by-step explanation:

Given the system of equations

-6x + 7y = -54

-7x + 7y = -56

The first step we need to do is to subtract to eliminate y, because 7y and -7y will cancel each other.

[tex]-6x + 7y = -54[/tex]

[tex]-[/tex]

[tex]\underline{-7x+7y=-56}[/tex]

x + 0y = 2

x = 2

Therefore, we get x = 2 after we implemented the fist step to subtract to eliminate y.

Hence, option 'C i.e. Subtract to eliminate y' is the correct option.

Answer:

36

Step-by-step explanation

Basically, you are just doubling the amount of wrapping paper that Carly has, so in this case it would be:

18 x 2 = 36

Answer: 4. Reviewing own tasks before submitting a complain to ensure basis

Step-by-step explanation:

Microworkers is a sort of freelance website where people can hire workers to do tasks for them from anywhere. It is international so a person in Alaska can hire a worker in Guyana if need be.

The community aims for friendly relations and as such everyone there should share this responsibility. Options A to C are ways to share in this except for option D. One should submit a complaint before they receive tasks.

Complete question

A scientist is at spot that has An angle elevation of 25.4' top 223 foot all observation. How far is the scientist from the base of the observatory

Answer:

[tex]X\approx469.64[/tex]

Step-by-step explanation:

From the question we are told that

Angle of elevation   [tex]\theta= 25.4'[/tex]

Height  [tex]H=223[/tex]

Generally the equation for the Distance X is mathematically represented as

  [tex]X=\frac{H}{tan\theta}[/tex]

  [tex]X=\frac{223}{tan 25.4\textdegree}[/tex]

  [tex]X=469.6369092[/tex]

  [tex]X\approx469.64[/tex]

Therefore the distance is

  [tex]X\approx469.64[/tex]

Answer:

7

Step-by-step explanation:

8 - 1 = 7

thank, 5 star, brainliest if helpful!

[tex] \large{ \text{Hi, Hope you are fine!}}[/tex]

[tex] \bull \: \: \: \sf{\angle CGE= x \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \bull \: \: \: \sf{ \angle AGF = 75 \degree}[/tex]

[tex] \bull \: \: \: \sf{AGC=90 \degree}[/tex]

[tex] \bull \: \: \: \sf{Value \: of \: x}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎

[tex] \sf{\angle AGC + \angle AGD=180° (Linear \: pair)}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{:\implies90 \degree+ \angle AGD=180° }[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies\angle AGD=180° - 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{:\implies \angle AGD= 90 \degree}[/tex]

[tex] \sf{:\implies\angle FGD= \angle CGE=x}[/tex]

[Vertically opposite angle]

‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ \angle AGD= 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{:\implies \angle AGF+ \angle FGD= 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies75 \degree + x = 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies x = 90 \degree - 75 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies \: x = 15 \degree}[/tex]

9514 1404 393

Answer:

  5/10

Step-by-step explanation:

0.5 is five tenths is 5/10

Answer:

[tex]x = 3\sqrt 2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To solve for x, we simply apply sine formula which states:

[tex]sin\ (\theta) = \frac{Opposite}{Hypotenuse}[/tex]

In this case:

[tex]\theta = 45^{\circ}[/tex]

[tex]Opposite = 3[/tex]

[tex]Hypotenuse = x[/tex]

So, the formula becomes:

[tex]sin(45) = \frac{3}{x}[/tex]

Cross Multiply

[tex]x * sin(45) = 3[/tex]

Make x the subject

[tex]x = \frac{3}{sin(45)}[/tex]

[tex]sin(45) = \frac{1}{\sqrt 2}[/tex]

So, we have:

[tex]x = \frac{3}{\frac{1}{\sqrt 2}}[/tex]

[tex]x = 3/\frac{1}{\sqrt 2}[/tex]

[tex]x = 3 * \sqrt 2[/tex]

[tex]x = 3\sqrt 2[/tex]

for there to be 4 equal doses out of 1/6 the child would need to take 1/24 4 times a day to take a total of 1/6

hope this helps!

Answer:

Dog 1: 16 pounds

Dog 2: 24 pounds

Step-by-step explanation:

2x+3x=40

5x=40

x=8

2x = 16

3x=24

Answer:

The dogs' weights are 16 pounds and 24 pounds

Step-by-step explanation:

Equations:

Martina has two dogs. Their combined weight is 40 pounds. Let's set:

x       = weight of one of the dogs.

40-x = weight of the other dog

The ratio between them is 2:3, thus:

[tex]\displaystyle \frac{x}{40-x}=\frac{2}{3}[/tex]

Cross multiplying denominators:

3x = 2(40 - x)

Operating:

3x = 80 - 2x

Adding 2x:

5x = 80

Dividing by 5:

x = 80/5 = 16

x = 16 pounds

The weight of the other dog is 40-16=24 pounds.

The dogs' weights are 16 pounds and 24 pounds

Answer: 1 lb 5 oz

Step-by-step explanation:

Answer:

1 pound = 16 oz

6 pounds 5 oz = 101 oz

101 oz - 80 oz = 21 oz, or 1 lb 5 oz

Answer:

x = 3 ± √ 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is A

Answer:

0.5904

Step-by-step explanation:

For each number, there are only two possible outcomes. Either it is in the 20s, or it is not. The probability of a number being in the 20s is independent of other numbers. So we use the binomial probability distribution to solve this question.

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.

4 generated numbers:

This means that [tex]n = 4[/tex]

Probability of a number in the 20s:

From 1 to 50, there are 50 numbers. Of those(from 20 to 29), there are 10 in the 20s. So [tex]p = \frac{10}{50} = 0.2[/tex]

What is the probability that at least one of the first 4 generated numbers is in the 20s?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex]. So

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = C_{4,0}.(0.2)^{0}.(0.8)^{4} = 0.4096[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4096 = 0.5904[/tex]

Answer:

about 80

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2500/150=16 2/3

but we dont want 2/3 of a person so just ignore that part

im in a hurry sorry

Answer:

16

Step-by-step explanation:

assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.

Answer:

228.65

Step-by-step explanation:

0.17 times 1345

Answer:228.65

Step-by-step explanation:

The answer is 119 or in other words D.

$1.28

If you divide $5.12 by 4 you get 1.28

so it's 1.28 per

Answer:

The total cost of the TV with sales tax included is $864.

Step-by-step explanation:

In order to find the the total cost of the TV with sales tax included, you have to calculate the 8% of the listed price and add this amount to the price:

$800*8%=$64

$800+$64=$864

According to this, the answer is that the total cost of the TV with sales tax included is $864.

Answer:

50 dollars per month

Step-by-step explanation:

Given

[tex]Months = 2[/tex]

[tex]Total = 170[/tex]

[tex]Initial = 70[/tex]

Required

Determine the rate of savings

Suppose in a month, she saves x amount.

In 2 months, she would save 2x

When 2x is added to the initial savings, it gives the total amount saved.

So, we have:

[tex]2x + 70 = 170[/tex]

Collect Like Terms

[tex]2x = 170 - 70[/tex]

[tex]2x = 100[/tex]

Divide both sides by 2

[tex]x = \frac{100}{2}[/tex]

[tex]x = 50[/tex]

Hence, she saves $50 dollars monthly

Answer:

351.5625 ft squared

Step-by-step explanation:

First multiply 15 times 15 and get 225, then divide this by 12 and you will get 18.75 now muliply it by 18.75 and you will get 351.5625.

Alright Hope It Helps This Time.

Answer: $1090

Step-by-step explanation:

Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:

= $205000 - $96000

= $109000

The interest that the account will earn after just 6 months will be:

Interest = PRT

= 109000 × 2% × 6/12

= 109000 × 0.02 × 0.5

= $1090

Answer:

C.38

Step-by-step explanation:

175 times 38 = 6650

Answer:

A. 7 over 36

Step-by-step explanation:

One ninth =1/9

One twelfth = 1/12

1/9+ 1/12= 12+9/108

= 21/108

We can then reduce the fraction to the lowest denominator by dividing the numerator and denominator by 3

That will result in 7/36

Step-by-step explanation:

let the number of blue and white marble be 2x and 3x respectively.

from question

2x +3x = 20

5x=20

x=20/5

x=4

2x= 2*4=8

3x=3*4=12

Answer:

2:1 or 2/1

Step-by-step explanation:

the original ratio is 32:16 or 32/16

remember a ratio is like a fraction

as long as you divide both numbers by the same number, the ratio is still accurate

so in this case we will divide by 16 because it is the gcf

32 divided by 16 is 2

16 divided by 16 is 1

so the answer is 2:1 or 2/1