Troy needs to complete 45 hours of training. During the fall, Troy completed 12 hours of training, and during the spring he completed twice as many hours as he had during the fall. Which equation can be used to find how many more hours of training (h) Troy needs to complete? Select one:
Answer:
[tex]36 + h = 45[/tex]
[tex]h = 9[/tex]
Step-by-step explanation:
Given
[tex]Total = 45[/tex]
[tex]Fall = 12[/tex]
[tex]Spring = 2 * Fall[/tex]
Required
Determine the equation to find the hours (h) left
The sum of the hours spent during the fall, spring and the hours left must be equal to the total hours.
In other word;
[tex]Fall + Spring + h = Total[/tex]
Substitute 2 * Fall for Spring
[tex]Fall + 2 * Fall + h =Total[/tex]
Substitute values for Fall and Total
[tex]12 + 2 * 12 + h = 45[/tex]
[tex]12 + 24 + h = 45[/tex]
[tex]36 + h = 45[/tex]
The above represents the equation,
Solving further for h
[tex]h = 45 - 36[/tex]
[tex]h = 9[/tex]
Hence, there are 9 hours left
Can you work this out: 14 x 14?
Answer:
14x14 is 196
Step-by-step explanation:
Use a calculator lol 14x14 is simple
The product of the 14 x 14 is 196.
Given that we need to calculate 14 x 14,
To calculate 14 multiplied by 14, you simply multiply the two numbers together.
Here's the step-by-step process:
Start by multiplying the ones digit of the first number (4) by the ones digit of the second number (also 4).
4 x 4 = 16
Write down the ones digit of the result (6) and carry over the tens digit (1).
Next, multiply the tens digit of the first number (1) by the ones digit of the second number (4).
1 x 4 = 4
Add the carried over tens digit (1) to the result.
4 + 1 = 5
Write down the tens digit of the result (5) and carry over any remaining digits (none in this case).
Finally, multiply the tens digit of the first number (1) by the tens digit of the second number (1).
1 x 1 = 1
Write down the tens digit of the result (1).
Putting it all together, we get:
14 x 14 = 196
Operation:
14
× 14
------
56 (4 × 14)
+140 (10 × 14)
------
196
Therefore, 14 multiplied by 14 equals 196.
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Sarah jumps rope to keep in shape. She jumps an average of 20 times in 15 seconds. Which of these describes her jumping rate?
Answer:
80 jumps per minute
Three ballet dancers are positioned con stage. Alice is straight behind Cárter and directly left Becky. If Cárter and Alice are 12 feet apart, and Becky and Cárter are 20 feet apart, what is the distance between Alice and Becky?
Answer:
30
Step-by-step explanation:
just did it
PLEASE HELP!! ILL MARK BRAINLYEST!!!
In a local election, one candidate received 43% of the votes. Only 87 people voted in the election.
Which proportion could be used to find how many votes the candidate received?
A. x/87 = 43/100
B. 87/x = 43/100
C. 43/x = 87/100
D. x/43 = 87/100
Answer:
37.41~votes received so the answer is A
Step-by-step explanation:
100%-87
43%-x
100x=3741
÷100 ÷100
_________________
x=37.41
Hope this helps :D
Answer: The answer is .A
Step-by-step explanation: I just did this and got it right thanks to the other answer :D
Given h(x) = -5x + 3, solve for x when h(x) = 3.
Answer:
x=0
Step-by-step explanation:
if
h(x)= -5x+3
h(x)= 3
then
-5x+3 = 3
solve for x
-5x=0
x=0
Can anyone simplify 3b – 12 + 2b – 13
Answer:
5b-25
Step-by-step explanation:
x divided by 8= 1.5 divided by 2
What is x?
When x divided by 8= 1.5 divided by 2 then the value of x is 6.
To solve for x in the equation "x divided by 8 equals 1.5 divided by 2," we can cross-multiply.
The equation can be written as:
x/8 = 1.5/2
To eliminate the fractions, we can multiply both sides of the equation by 8:
8×(x/8) = 8 × (1.5/2)
On the left side, the 8 in the numerator and denominator cancels out, leaving us with just x:
x = 8 × (1.5/2)
Now, let's simplify the right side of the equation:
x = 8 × 0.75
Multiplying 8 by 0.75 gives us:
x = 6
Therefore, x is equal to 6 in the given equation.
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7,2,-3,-8,-13,-18
find the 97 term
Answer:
- 473
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = - 5, thus
[tex]a_{97}[/tex] = 7 + (96 × - 5) = 7 - 480 = - 473
Martin has 60 magazines and 42 books to put into stacks. Each stack will have 7 magazines and 4 books. How many complete stacks of 7 magazines and 4 books can Ms. Martin make?
Answer:
8 complete stacks
Step-by-step explanation:
Total magazine = 60
Total books = 42
Each stack will have 7 magazines and 4 books.
Each stack = 7 magazines + 4 books
How many complete stacks of 7 magazines and 4 books can Ms. Martin make?
Number of stack of 7 magazines possible = total magazines / magazines per stack
= 60/7
= 8 4/7
Complete stacks with 7 magazines = 8
Number of stack of 4 books possible = total books / books per stack
= 42/4
= 10 1/2
Complete stacks with 4 books = 10
If 7 magazines on each stacks can make 8 complete stacks
Then, 4 books on each stack can make 8 complete stacks
Note: after 8 stacks using 7 magazines each, magazines will not be available to complete other stacks
A scientist made 3,248 milliliters of a solution for a science experiment. She needs to divide the solution equally into 16 beakers. How many milliliters of the solution will be in each beaker?
Answer:
203 mililiters
Step-by-step explanation:
A scientist made 3248 mililiters of solution for a science experiment
She needs to divide them equally into 16 beakers
Therefore the amount of mililiters that will be present in each beamer can be calculated as follows
= 3284/16
= 203 mililiters
Hence 203 militers of solution will be present in each beaker
Sound travels about 340 m/s. The function d(t)=340t gives the distance d(t), in meters, that sound travels in t seconds. How far does sound travel in 53 s?
Answer:
18020 meters.
Step-by-step explanation:
(340*53) meters
= 18020 meters
Hope this helped!
Answer:
18020 meters.
Hope this helped!
Please help!! I’m so confused!!
______________________________
Order of Operations:ParenthesisExponentsMultiplication Division AdditionSubtraction
- This is also known as PEMDAS.
1.) Calculate 2 to the power of 0:[tex](2^0)=1[/tex]- This is the parenthesis and exponents step.
2.) Multiply 3 and 1:[tex]3[/tex] × [tex]1=3[/tex]- This is the multiplication step.
______________________________
Mora is using a map to find the distance between her house and her cousin's house. She knows that $2$ centimeters on the map represent $300$ miles. On the map, the distance between her house and her cousin's house is $20$ centimeters. What is the distance, in miles, between Mora's house and her cousin's house?
Answer:
3,000 miles
Step-by-step explanation:
Calculation for the distance, in miles, between Mora's house and her cousin's house
Distance in miles =(2centimeters÷20centimeters) *300 miles
Distance in miles=10*300 miles
Distance in miles= 3,000 miles
Therefore the distance, in miles, between Mora's house and her cousin's house will be 3,000 miles
Rewrite 65% as a decimal number.
Answer:
.65 hope this helps :))
Solve using elimination. Brainliest for correct answer!!
Answer:
X is 1 and y is 5
Step-by-step explanation:
Juan invested $3,100 in an account paying an interest rate of 3.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 19 years?
Answer:
A=6143.54( to the nearest dollar A=6144)
Step-by-step explanation:
A=Pe^(r(t))
P=3100 r=0.036 t=19
A=3100e^0.036(19)
A=3100e^(0.684)
There will be $6070 money in the account of Juan after 19 years.
What is Compound Interest?It is the interest on a loan or deposit calculated based on both the initial principal and accumulated interest from previous periods. It is calculated as:
[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]
where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of periods elapsed
We have
principal, P= $3100
Rate, r = 3.6%=[tex]\frac{3.6}{100}[/tex]
time, t = 19years
number of times interest compounded per year, n=1
Formula Used:
[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]
Substitute the values in the above formula
[tex]Amount=3100(1+\frac{3.6}{100} )^{19}[/tex]
[tex]Amount=[/tex]$6070
Hence, there will be $6070 in account after 19 years.
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Ms. King goes to Kroger. She sees that Sprite costs $4 for a 12-pack of cans of $7.50 for a 24-pack of cans. Which is the better buy?
Answer:
7.50 for 24
Step-by-step explanation:
I am thinking of 2 consecutive odd numbers. If I add 15 to the second, I get twice the first. What is the sum of the num
Answer:
36
Step-by-step explanation:
Trial and error
Two consecutive odd numbers.
I chose 17 and 19
19 + 15 = 34, which is twice the first number.
The sum of the two numbers is 17 + 19 = 36
A one-year membership to Metro Gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equation to represent what you will pay monthly for the yearlong membership. Write an equation that would help members find how much they pay per month.
Answer: See explanation
Step-by-step explanation:
Let the amount of money to be paid per month be represented by x. The information given in the question can then be formed into an equation as:
$40 + 12x = $460
From the equation, the amount that'll be paid monthly will be:
$40 + 12x = $460
12x = $460 - $40
12x = $420
x = $420/12
x = $35
The amount paid monthly is $35
) What is the cost of 10 bottles of fruit juice? Solve this
problem any way you choose
Cost
$10.00
FRUIT JUICE
Bottles of
Fruit Juice
4
Answer:
25?
Step-by-step explanation:
Would it be 25? I m not completely sure. I might have read it wrong, but my understanding is that 4 bottles cost 10 bucks. Therefore dividing, i get 2.5 dollars for each bottle and then multiply it by 10 to get 25. Hope this helped.
Jake bought some shirts for $6 each. Andy bought some shirts for $8 each. The boys spent the same amount of money on shirts. What is an amount of money could they have spent?
Answer:
$24, $48, $72
Step-by-step explanation:
Given that :
Jake: cost per shirt = $6
Andy : cost per shirt = $8
Bith spent same amount of money on shirt purchase :
Amount of money they could have spent :
Obtain the factors common to both 6 and 8
Factors of :
6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
8 : 8, 16, 24, 32, 40, 48, 56, 64, 72
$24, $48, $72,....
Hue is arranging chairs. She can form 6 rows of a given length with 3 chairs left over, or 8 rows of that
same length if she gets 15 more chairs. Complete the equation and solve it to find how many chairs are inthat row length. In your equation, use the variable x to represent the number of chairs in each row.
Answer:
8r + 15 = x
Step-by-step explanation:
So being that they can form 6 rows but have 3 left over we know that there are more than three chairs in each row. So for example:
6r + 3 = x
or (x = chairs, r = chairs in the row)
8r + 15 = x
What is the factored form of the expression 5p^3-10p^2+3p-6
Answer: (5p^2+3)(p-2)
Step-by-step explanation:
In this problem, we need to write the factor form of expression .
5p^3-10p^2+3p-6
It can be done as follows :
5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)
Taking common form the terms as follows :
=p(5p^2+3)-2(5p^2+3)
It can be also written as :
=(5p^2 +3)(p-2)
Hence, the factored form of is
Answer:
(p-2)(5p^2+3)
Step-by-step explanation:
see the image
help plzz hurry i didnt study and need help
What is the value of the expression 5(23 - 3)? Show your work.
Answer:
100
Step-by-step explanation:
5(23-3)
23-3= 20
5 × 20= 100
What is the solution to this equation?
6(x - 5) = 4x + 20
A. x= -1
B. x= -5
C. x = 25
D. x = 5
Answer: The answer is 25! :)
Give brainiest?
pls help .................................
Answer:
60
Step-by-step explanation:
yeah I looked it up but like that's what u have to do to not fail lol
An ant travels at a constant rate of 30 cm every 2 minutes
1. At what pace does the ant travel per centimeter
2. At what speed for the ant travel per minute
Answer:
Step-by-step explanation:
1cm every 4 seconds
15 cm per minute
Answer:
15
Step-by-step explanation:
1/15 of a minute per centimeter.
The speed is 15 centimeters per minute.
Please help show work Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this situation?
(b) Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer:
A) a ratio system
B)The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.
Step-by-step explanation:
I hope this helps :)
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