How would you simplify 5-6w-4+7w?

Answers

Answer 1

Answer: You add the like terms. In this case, the like terms are -6w,+7w & 5,-4.
-6w + 7w = 1w.
5 - 4 = -1.
The coefficients (terms with variables - letters) comes firm, then the terms (numbers)
.
so the final answer is: 1w -1 :)

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A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 925 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Answers

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

Explanation

Suppose, $x$ gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be: $(35-x)$ gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the distance traveled by the first car in $x$ gallons of gas $=35x$ miles and the distance traveled by the second car in $(35-x)$ gallons of gas $=15(35-x)$ miles.

Given that, the two cars went a combined total of 925 miles. So, the equation will be.....

$35x+15(35-x)=925\n \n 35x+525-15x=925\n \n 20x=925-525=400\n \n x=(400)/(20)=20$

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

What is the remainder for the synthetic division problem?

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Solving using synthetic division

-8 | 2 14 9

The synthetic division is shown in image attached.

The remainder is: 25

The quotient is : 2x-2

So, Option B is correct.

Sergei is a sophomore in high school who is planning to try out for the cross country team. Only the fastest seven runners will make the varsity team, and they all run a mile in under 6:15. In eighth grade, he was able to run a mile in 9:30. After training all summer, he was able to run a mile in 8:45 his freshman year. He has been running again this summer and is getting ready for tryouts. What predictions do you think Sergei can make based on the data he has? What kind of benchmark is he measuring his performance against?

Answers

Answer:

Based on the data provided, Sergei can make the following predictions and set a benchmark for his performance:

Prediction 1: With consistent training and improvement over the summer, Sergei can predict that he will run the mile faster than 8:45 in his upcoming tryouts. This is based on the pattern of improvement he has shown from 9:30 (eighth grade) to 8:45 (freshman year) and his continued training.

Prediction 2: Sergei can aim to break the 8-minute mark for the mile based on the trend of his improvements. This is a reasonable goal given his past progress, and it aligns with his objective of making the varsity team where all runners need to run under 6:15.

Benchmark: The benchmark against which Sergei is measuring his performance is the time required to run a mile. He's tracking his progress in terms of how long it takes him to complete a mile, aiming to continuously improve and meet the varsity team's standard of running under 6:15 for the mile.

What percent of 50 is 47

Answers

50 * n% = 47

n% = 47/50

n % = .94

94%

so 50 * 94 % = 47

& 50 - 94% = 3

& 50 - 6% = 47

& 50 * 6% = 3
I think i helped you :-)

47/50
multiply by 2 both sides
94/100

Which property of equality does this represent 4(a+5)=4a+20Multiplication Property of equality

Addition property of equality

subtraction property of equality

division property of equality

Answers

Answer:

Addition property of equality

Step-by-step explanation:

anytime it has the + sign its addition

Properties to find the sum or products 5 times 23 time 2

Answers

5 × 23 × 2 = (5 × 2) × 23 = 10 × 23 = 230

I used the associative property of multiplication to find the product of 5, 23, and 2.

The product of 5, 23, and 2 is 230.

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