combine like terms 5x+3+2x​

Answer:

0.02x + 0.28y = 0.5 is the required answer.

Step-by-step explanation:

Given:

[tex]4x+56y=100[/tex]

To Find :

Expression when it is divided by 200.

Solution:

[tex]4x+56y=100[/tex]

After Dividing both the side by 200 we get

[tex]\frac{4x}{200}+ \frac{56y}{200}= \frac{100}{200}\\\frac{x}{50}+ \frac{14y}{50}= \frac{1}{2}\\\therefore 0.02x+0.28y=0.5[/tex]

Which is the required Expression after Dividing by 200.

∴ 0.02x + 0.28y = 0.5 is the required answer.

Answer:

The sides of the triangle are proportional so the length of GE=18 cm

Answer:

33 students

Step-by-step explanation:

Without any other data to go by, guess and check is the only method we can use. Staying in a 4:7 ratio, only one combination gives a total student number between 24 and 40, with 12 boys and 21 girls.

4 + 7 = 11

8 + 14 = 22

12 + 21 = 33

16 + 28 = 44

Answer:

5 sqrt(3)

Step-by-step explanation:

Simplify the following:

2 sqrt(3) + 3 sqrt(3)

2 sqrt(3) + 3 sqrt(3) = 5 sqrt(3):

Answer: 5 sqrt(3)

Step-by-step explanation:

1.

4:15 p.m. to 5.00 p.m. → 45min

5:00 p.m. to 10:00 p.m. → 5h

Answer: 5h 45min

2.

3:45 a.m. to 4.00 a.m. → 15min

4.00 a.m. to 12:00 p.m. → 8h

Answer: 8h 15min

3.

1:15 p.m. to 2:00 p.m. → 45min

2:00 p.m. 8:00 p.m. → 6h

8:00 p.m. to 8:11 p.m. → 11min

Answer: 6h (45 + 11)min = 6h 56min

4.

2:37 a.m. to 3:00 a.m. → 23min

3:00 a.m. to 3:15 a.m. → 15min

Answer: (23 + 15)min = 38min

5.

11:59 a.m. to 12:00 p.m. → 1min

12:00 p.m. to 1:00 p.m. → 1h

1:00 p.m. to 1:01 p.m. → 1min

Answer: 1h (1 + 1)min = 1h 2min

Answer:

-8 , 5

Step-by-step explanation:

Answer:

A: y = 3x + 4

Step-by-step explanation:

A slope of 3 is given, so the co-efficient of x must be three

If you are going through point (-3, -5), then you must have a starting point.

Adding 3 to the y coordinate for every x value gives us 4.

This means that the equation must be adding 4 to x.

So, the answer is y = 3x + 4, or A.

Answer:

Step-by-step explanation:

5 quarters, 1 nickel  

Answer:

The required combination of coins will be 5 quarters and 1 nickel.

Step-by-step explanation:

The required combination should be such that the resultant will be 130% of 1 dollar or 1.3 dollar.

Now, the value of 1 quarter is $0.25 and the value of 1 nickel is 5 cent or $0.05.

So, the combination of 5 quarters and 1 nickel will be,

[tex]5\times \$0.25+1\times \$ 0.05=\$1.25+\$0.05\\=\$1.30[/tex]

The above value is equal to 130% of a dollar.

Therefore, the required combination of coins will be 5 quarters and 1 nickel.

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Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.

Answer:

D. the starting balance of the savings account

Step-by-step explanation:

Final answer:

The 5.00 in the function f(x) = 5.00(1.012)^x represents the starting balance of the savings account, corresponding to the initial amount of money deposited.

Explanation:

The student used the function f(x) = 5.00(1.012)^x to show how the balance in a savings account increases over time. In this context, the 5.00 represents the starting balance of the savings account. This is because the function for exponential growth in the context of compound interest is typically written as P(1 + r)^t, where P is the principal amount (the initial amount of money), r is the annual interest rate (expressed as a decimal), and t is the time the money is invested for. In the given function, the 5.00 corresponds to P, which confirms that it is indeed the starting balance. Thus, the correct answer is D.

Answer:

(25 1/3)/76

15.5/2

Step-by-step explanation:

I'll do the first two for you, and you can use that to do the rest. Essentially, what we have to do is match up the functions so that they have the same numerator/denominator, and use that to figure out the missing part. For the first one, we have to match up 12 and 76. We can do this by obtaining the result of 76/12, which is 6 1/3. To match it up, we can multiply 12 by 6 1/3 or divide 76 by 6 1/3. As we want to match up to 76 because the missing number is on the 76 side, we must multiply both 4 and 12 by 6 1/3, resulting in  our answer being (25 1/3)/76 for the first one. Similarly, for the second one, we can divide 8 by 2 to get 4. Since the missing number is on the 2 side, we divide the 8 side by 4 to get 15.5/2. Good luck, and feel free to ask if you need help!

Answer:

Sometimes

Step-by-step explanation:

If the shapes' sides are congruent? Using congurent triangles to prove

Answer:

C. 3

Step-by-step explanation:

In arithmetic, the range of a set of data is the difference between the largest and smallest values. However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.

2 - (-1) = 3

6 - 3 = 3

etc...

Answer:

10

Step-by-step explanation:

4 more than twice the input 3

more indicates addition, twice indicates multiplication

y = output value

x = input value

y=4+2x

y=4+2(3)

y=4+6

y=10

4 more than twice the input 3 is 10

Final answer:

To find the output that is 4 more than twice the input when the input is 3, we calculate 2(3) + 4, which equals 10.

Explanation:

The output that is 4 more than twice the input when the input is 3 can be found using a simple algebraic expression. If we let x represent the input and y the output, the expression can be written as y = 2x + 4. By substituting the input value of 3 into the equation, we have y = 2(3) + 4, which simplifies to y = 6 + 4, and further simplifies to y = 10. Therefore, the output is 10.

Answer:

8) 0 + t = t ------- Identity Property of Addition

(2+b) * 0 = 0 ------- Zero Property of Multiplication

9) n * 0 = 0 ------- Zero Property of Multiplication

1m = m --------- Identity Property of Multiplication

Hope this helps

-Amelia

Answer:

8) Identity Property of Addition

9) Zero Property of Multiplication

Answer:

7 months

Step-by-step explanation:

Answer:

First Sibling gets $4000

Second Sibling gets $8000

Third Sibling gets $12,000

Fourth Sibling gets $16,000

Step-by-step explanation:

A ratio of 2:4:6:8 means that

First sibling gets 2 parts of total

Second sibling gets 4 parts of total

Third sibling gets 6 parts of total

Fourth sibling gets 8 parts of total

Now, how many parts are there??

2 + 4 + 6 + 8 = 20 parts

Now, we divide the total inheritance ($40,000) in 20 parts, so each part is worth:

40,000/20 = $2000

Hence,

First Sibling gets = 2000 * 2 = $4000

Second Sibling gets = 2000 * 4 = $8000

Third Sibling gets = 2000 * 6 = $12,000

Fourth Sibling gets = 2000 * 8 = $16,000

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To find out how much she will have after 3 years, we use the formula for continuous compound interest and find that the total in the account, rounded to the nearest dollar, is $4513.

The subject is continuous compound interest, which differs slightly from simple interest. In Mika's case, she placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To calculate the total amount after 3 years, we use the formula A = P * e^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), and t is the time in years.

So A = $4200 * e^(0.023 * 3). When we calculate this, we find that the total in the account, rounded to the nearest dollar, is $4513.

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Answer:

there you go all the answers

Answer:

2 times

The drawing will help

Answer:

empire: 25/100 or 25% ,

mclntosh : 30/100 or 30%,

fuji : 45%

Step-by-step explanation:

the part-to-whole ratio of empire type apples will be [tex]\frac{25}{100}[/tex]

30% of 100 acres = [tex]\frac{30}{100} *100=30 acres[/tex]

= 100-25-30

=45 acres

Answer:

n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer

n+(n+1)+(n+2)+(n+3)=34

4n+6=34

4n=28

n=7 ANSWER: The smallest integer is 7

CHECK:

7+8+9+10=34

34=34

Step-by-step explanation:

Answer:

b<-35

Step-by-step explanation:

b/5-34<-41

b/5<-41+34

b/5<-7

b<-7*5

b<-35

Answer:

y+3=-4(x-5)

Step-by-step explanation:

m=-4

y-(-3)=-4(x-5)

y+3=-4(x-5)

Seth must attend matinees at least 16 times for the six-month pass to be financially beneficial to his father.

To determine how many times Seth must attend matinees for the six-month pass to be beneficial economically, we need to calculate the break-even point where the cost of the pass equals the savings from discounted ticket prices. The normal ticket cost for a matinee is $3.50, and with the pass, the cost is reduced to $1.00. Therefore, each time Seth attends a matinee with the pass, he saves $2.50 ($3.50 - $1.00).

Let's denote the number of times Seth needs to attend matinees to benefit from the pass as 'x'. The six-month pass costs $40, So, we need to set up the following equation to find the break-even point: $2.50 × x = $40.

Divide both sides of the equation by $2.50 to solve for 'x':

x = $40 ÷ $2.50

x = 16

Thus, Seth needs to attend matinees at least 16 times to make the purchase of the six-month pass worthwhile for his father.

The graph of the absolute value function can be seen in the image below.

Here we have the absolute value function:

h(x) = -|x + 2| + 4

To graph it we need 3 points, one at the vertex x = -2

h(-2) = -|-2 + 2| + 4 = 4

So the point is (-2, 4)

And other two points at the right and left of x = -2, I will use x = 0 and -4.

h(-4) = -|-4 + 2| + 4 = 2

h(0) = -|0 - 2| + 4 = 2

Then we have the points (0, 2) and (-4, 2)

Now to graph the function just connect the point (-2, 4) with (0, 2) and with (-4, 2) using two rays.  The graph can be seen below.

If you want to learn more about absolute value functions:

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Answer:

5

Step-by-step explanation:

You have $20, and your mom gives you $5. You have $25 on total. If you divide 25 by 5, you get 5. So the answer is 5.

Answer: you have $20 mom gives you $5 you now have $25 each gift costs $5 25 divided by 5 is 5

Step-by-step explanation:

Answer:

[tex]\displaystyle 6 = x[/tex]

Step-by-step explanation:

Since DF is a SEGMENT BISECTOR, you set 15x and 8x + 42 equal to each other:

8x + 42 = 15x

- 8x - 8x

___________

[tex]\displaystyle \frac{42}{7} = \frac{7x}{7} \\ \\ 6 = x[/tex]

I am joyous to assist you anytime.

Inequality is 6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less

Solution:

Given that  

Maximum amount Jim can spend to rent a boat = $34

Rental cost of boat for 1 hour = $6

Also Jim has a discount coupon for $8 off.

Need to determine possible number of hours Jim could rent a boat.

Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"

Cost of renting boat for 1 hour = 6

So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t

Also Maximum amount Jim can spend to rent a boat = $34

As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44

So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat

=> 6t  ≤ 44

On solving above equality for "t" we get ,

[tex]\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}[/tex]

Hence inequality is  6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less.

the answer will become 10%