The number of miles is 7 1/2 miles option (A) is correct if Tyler rode his bike 43 1/8 miles in 5 3/4 hours
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Tyler rode his bike 43 1/8 miles in 5 3/4 hours.
Let d is the number of miles Tyler ride his bike per hour
43 1/8 miles in 5 3/4 hours
345/8 miles in 23/4 hours
d miles in 1 hour
345/8 = 23d/4
345/2 = 23d
d = 345/46
d = 322/46 + 23/46
d = 7 1/2 miles
Thus, the number of miles is 7 1/2 miles option (A) is correct.
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Evaluate. 7 x (-7 + 15)
Answer:
56
Step-by-step explanation
The class wants to raise a total of $1750. If they receive a profit of $1.75 from each candy bar sold, how many bars must they sell to reach their goal?
Answer: 1,000
Step-by-step explanation:
1,750 divided by 1.75 =1,000
Answer:
1,000
Step-by-step explanation:
If the class wants to raise a total of $1,750 and make a profit of $1.75 from each candy bar that gets sold then you take the total and divide it by the amount of profit each bar makes. So you do 1,750 divided by 1.75 and that gives you 1,000. So the class must sell 1,000 candy bars to reach their goal.
Solve the equation for y.
3X+1/5y=7
Y=
Answer:
The answer is y = -15x + 35.
Step-by-step explanation:
We want to isolate y, so we cancel everything on that side of the equals except y. We begin with the term farthest away from y, which would be 3x. Since it is positive, to cancel it we will subtract. This will give us 1/5y = 7-3x.
Next we want to cancel the 1/5. Since it is directly beside y, this means it has been multiplied; to cancel, we will divide. Divide both sides by 1/5, and we have y = (7-3x)÷(1/5). When we divide fractions, we flip the second one and multiply; this means we have y=(7-3x)*5.
Using the distributive property, we have y=7*5-3x*5, which gives us y=35-15x. We can write this as y=-15x+35.
Answer:
y = 35 - 15x
Step-by-step explanation:
Given
3x + [tex]\frac{1}{5}[/tex] y = 7 ( subtract 3x from both sides )
[tex]\frac{1}{5}[/tex] y = 7 - 3x ( multiply both sides by 5 to clear the fraction )
y = 5(7 - 3x) , that is
y = 35 - 15x
A town has a small theater for weekend community plays and musicals. Each weekend, the theater can sell a total of 761 tickets for their performances. What is the maximum number of tickets the theater can sell in 1 year (1 year = 52 weeks)?
Answer:
the answer of this question is 39,572
Step-by-step explanation:
i just took the assignment and it said the other number is wrong. the answer is 39,572 . your welcome :)
The maximum number of tickets to sell in one year if Each weekend, the theater can sell a total of 761 tickets for their performances, is 39572.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
Each weekend, the theater can sell a total of 761 tickets for their performances,
The total number of weeks = 52,
Calculate the maximum number of tickets to sell in one year as shown below,
The maximum number of tickets to sell in one year = 52 × 761
The maximum number of tickets to sell in one year = 39572
Thus, the total number of tickets sold is 39572.
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Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?
Answer:
It will take both faucets 200 minutes to fill a pool with 9,000 liters of water
Step-by-step explanation:
Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water
What we need here is to have a joint rate for both faucets;
For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;
100/5 = 20 liters per minute
For the second faucet, the per minute rate will be 100/4 = 25 liters per minute
So therefore, the joint rate will be;
25 liters per minute + 20 liters per minute = 45 liters per minute
So the time needed to fill 9,000 liters of water in a pool will be ;
9000 liters/ 45 liters per minute = 200 minutes
1) The price of a dress is $89. Susan has a coupon for $50 off ger entire purchase and another coupon for 50% off one item. The store's policy does not allow for both coupons to be used at once. Which monetary incentive would give Susan a better buy. $50 off coupon is a better buy 50 of one item is a better buy.
First coupon:
89 - 50 = $39 (discount price)
Second coupon:
50% = 0.5
89 * 0.5 = 44.5
89 - 44.5 = $44.5 (discount price)
39 < 44.5
Therefore, the better option is using the $50 off one item.
Best of Luck!
A=1/2 BH where A: area, B: base, & H: height. If the Base of a triangle is 7 ft and the Height of the triangle is 4 ft, what is the Area of the triangle? Question 12 options: 56 ft 28 ft 14 ft 37 ft
Answer:
[tex]\boxed {\tt A= 14 \ ft^2}[/tex]
Step-by-step explanation:
The area of a triangle can be found using the following formula.
[tex]A=\frac{1}{2} bh[/tex]
where [tex]b[/tex] is the base and [tex]h[/tex] is the height.
In this triangle, the base is 7 feet and the height is 4 feet.
[tex]b= 7 \ ft\\h= 4 \ ft[/tex]
Substitute the values into the formula.
[tex]A=\frac{1}{2} bh[/tex]
[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]
Multiply 7 ft and 4 ft.
[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]
Multiply 28 square feet by 1/2 or divide 28 square feet by 2.
[tex]A= 14 \ ft^2[/tex]
The area of the triangle is 14 square feet.
Students in a pre-algebra class are given the polynomial 12x2y−6xy+18y2 and told to factor out the greatest common factor. Which student has made the correct choice?(1 point)
This question is not complete
Complete Question
Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.
Which student has made the correct choice? (1 point)
a) Delia chose 3y because she said that it was a factor of every term.
b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.
c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.
Answer:
c) Mike chose 6y because he said that it was the largest factor of every term.
Step-by-step explanation:
Step 1
Identify the GCF of the coefficients.
12x²y - 6xy + 18y²
Coefficients are :
12, 6, 18
The Greatest Common Factor for 12, 6, 18 =
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Step 2
Identify the GCF of the variables.
x²y , xy, y²
The GCF of these variables is y
Step 3
Combine to both GCF's to obtain the GCF of the expression.
= 6 × y
= 6y
The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y
Step 4
We factorise
= 12x²y−6xy + 18y²
= 6y(2x² - x + 3y)
Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.
Mike is correct.
Solution for: 2 [32-(4-1)³ ]
Answer:
5
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2[32-3^3]
2[32-27]
2×5
10
Solve the following equation for x: 2x – 3y = 6.
x= x + 3
x=y-3
3
x=--y-3
2
x= -
y + 3
Answer:
x = 3/2 y + 3
Step-by-step explanation:
2x – 3y = 6.
Add 3y to each side
2x – 3y+3y = 3y+6.
2x = 3y+6
Divide each side by 2
2x/2 = 3y/2 + 6/2
x = 3/2 y + 3
Brad rode his bike 4 3/10 miles. Then he ran 2 9/10. How much farther did he ride than run?
Answer:
I believe 1 4/10 further
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.
Answer:
12
Step-by-step explanation:
Please help fast and i brainliest!!! What is the first step in solving the equation 3x2−6x+1=0 by completing the square? Write the equation in standard form. Factor both sides of the equation. Write the equation in the form ax2+bx=c. If a≠1, divide each term by a. Use the square root property.
Answer:
yoi look for what you add to the equation to make it a perfect square by dividing 6 by 2 then add 2^2 to both sides.
Solve forx:
- 3x – 9= 2 - 1
Answer:
[tex]x = -\frac{10}{3}[/tex]
Step-by-step explanation:
2 - 1 = 1Plug 1 in: -3x - 9 = 1Add 9 to each side, so it now looks like this: -3x = 10Divide each side by -3 to cancel out the -3 next to x. It should now look like this: x = -10/3I hope this helps!
Answer:
Step-by-step explanation:
curtain investments compound interest at different intervals. What effect does the size of the compounding interval have on the yield of the investment?
As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.
Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.
Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies
The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.
As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.
So eventually the investment yield hits a ceiling of some sort. We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).
(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)
Answer:
(-10, 5)
Step-by-step explanation:
(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.
(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.
Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..
ALGEBRA QUESTION THAT NEEDS ANSWER ASAP
A) 11.7
Step-by-step explanation:
sin 20/4=sin 87/c
sin 87×4=sin 20c
3.9945=0.3420c
c=3.9945/0.3420
c=11.7
Can someone please help me
Answer: (b) 7.8 degrees
Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).
You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.
which relationship below is not a function?
Answer:
C is not considered as not a function
Step-by-step explanation:
Due to 0 goes 2 ranges
can someone help me find the final answer to this im very confused
Answer:
(7√3)/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.
Tan = Opposite/Adjacent
That means ...
tan(30°) = x/7
Multiplying by 7, we have ...
x = 7·tan(30°)
x = (7√3)/3
this is algebra 1 unit 1 or lesson 1
Answer:
if I am correct I believe it should be 1153.5 calories
Why are there two solutions for the equation |6 + y| = 2? Explain.
(there should be a solution and an explanation onto why there is two answers)
Answer:
Sample response: The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the
Step-by-step explanation:
Need help asap hurry please
Answer:
B
Step-by-step explanation:
Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first
x = > R
y = > [ 0 , infinity )
Step-by-step explanation:Domain :
f ( x ) = | x + 6 |
Clearly we can put any value for f ( x )
x = > R
Range :
Using input restriction:
For min of x = - 6
y belongs to [ 0 , infinity )
Hence we get answer.
You spin the spinner twice.
4.
1
3
2.
lands on 2 What is the probability of landing on a number less than 4 and then landing on a 3?
Answer:
The Answer is 1 and 4
Step-by-step explanation:
Because there is only 4 numbers.
whats he approximete value of the square root of 8
Answer:
the approximate value of the square root of 8 is 2.828
I need help with number 5, I understand the rest but with a fraction I get completely thrown off :(
Step-by-step explanation:
0, _, _, 2, 8/3, ...
Write each number as a multiple of 1/3.
0/3, _, _, 6/3, 8/3, ...
The common difference is 8/3 − 6/3 = 2/3. So the other two terms are 2/3 and 4/3.
3(x - 1) - 8 = 4(1+x) + 5
Answer:
x= 20
Step-by-step explanation:
Step 1- Distribute into the parenthesis.
3x-1(3)-8= 1(4)+4x+5
Step 2- Multiply
3x-3-8= 4+4x+5
Step 3- Add.
3x-3-8= 4x+9
Step 4- Subtract 3x to both sides to move the variable to one side.
3x-11= 4x+9
-3x -3x
Step 5- Subtract 9 to both sides.
-11= 1x+9
-9 -9
-20= x
Exchange the signs.
20= x
Answer:
x = -20
Step-by-step explanation:
3(x - 1) - 8 = 4(1+x) + 5
3x - 3 -8 = 4 + 4x + 5
3x - 11 = 9 + 4x
-x = 20
x = -20
The class width of the class 200 - 215 is
Answer: -15
Step-by-step explanation:
200
-215
- 15
Hope this helped
Quick Question
a) 1 trillion means 1 000 000 000 000. Write this number in scientific notation.
b) Write one million in scientific notation.
Answer:
1 * 10^12
Step-by-step explanation:
Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.
Same thing can be applied for 1,000,000 (one million).
1 * 10^6 because one million has 6 zeros appended to it.