Answer:
6x + 24
Step-by-step explanation:
Distributive property: a (b + c) = ab + ac.
6 (x + 4) = 6x + 6(4) = 6x + 24.
Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices? Solve using unit rates.
Answer:
63 miles
Step-by-step explanation:
Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?
2 track practices = 18 miles
7 track practices = y miles
Cross Multiply
2 track practices × y miles = 18 miles × 7 track practices
y miles = 18 miles × 7 track practices/ 2 track practices
y miles = 63 miles.
Therefore, Bonnie will have run 63 miles after 7 track practices
Alex rolls a six-sided number cube 570 times. Approximately how many times can he expect to roll a 5?
Answer:
95 times
Step-by-step explanation:
Probability of rolling a 5 =1/6
So no. of times 5 is expected when the number cube is rolled out 570 times = 570*1/6 = 95 times
1)First determine the probability of rolling a 5
2)Since you can only roll a 5 once in a 6-sided cube the probability is ⅙ or about 0.1667
3)Multiply the probability and the total number of rolls
.1667 * 570= 95
Answer : 95 times
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
0= -5/4(x - 6/5) find the solution to x
Answer:
x = 6/5
Step-by-step explanation:
Solve for x:
0 = (-5 (x - 6/5))/4
Hint: | Put the fractions in x - 6/5 over a common denominator.
Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:
0 = (-5)/4 (5 x)/5 - 6/5
Hint: | Combine (5 x)/5 - 6/5 into a single fraction.
(5 x)/5 - 6/5 = (5 x - 6)/5:
0 = (-5)/4 (5 x - 6)/5
Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.
(-5)/5 = (5 (-1))/5 = -1:
0 = (-1 (5 x - 6))/4
Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.
0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:
(-(5 x - 6))/4 = 0
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-(5 x - 6))/4 = 0 by -4:
(-4 (-(5 x - 6)))/4 = -4×0
Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.
(-4)/4 = (4 (-1))/4 = -1:
--1 (5 x - 6) = -4×0
Hint: | Multiply all instances of -1 in -(-(5 x - 6)).
(-1)^2 = 1:
5 x - 6 = -4×0
Hint: | Any number times zero is zero.
0 (-4) = 0:
5 x - 6 = 0
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
5 x + (6 - 6) = 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
5 x = 6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 5 x = 6 by 5:
(5 x)/5 = 6/5
Hint: | Any nonzero number divided by itself is one.
5/5 = 1:
Answer: x = 6/5
Suppose a class has 24 chairs,6 tables, and 2 teachers, what is the ratio of chairs to tables
Step-by-step explanation:
A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.
Example: 3:5
The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.
24:6
Hope it helps!
I will give brainliest!!!! Which expressions are equivalent to j+j+2k? Choose all answers that apply: (Choice A) A 2jk (Choice B) B 2(j+j+k) (Choice C) C None of the above
Answer:
The Answer Is C
Answer:
CHOICE C.Step-by-step explanation:
They are not like terms, so they can't be added up.
The area of a rectangle is 136 square centimeters. The
rectangle is 8 centimeters wide how long is the rectangle
Answer:17
Step-by-step explanation: count 8, 17 times and that is how you get your answer
The length of the rectangle is 17 cm if the area of a rectangle is 136 square centimeters.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that:
The area of a rectangle is 136 square centimeters.
A = 136 square cm
w = 8 cm
A = lw
136 = 8l
l = 17 cm
Thus, the length of the rectangle is 17 cm.
Learn more about the rectangle here:
https://brainly.com/question/15019502
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Kora uses the following ingredients to make 111 s'more.
Ingredient Amount
Graham crackers 222
Chocolate squares 888
Marshmallows 333
How many s'mores can Kora make if she has 202020 graham crackers?
she can make 10 s'mores.
Simplify 9x + 4(x + 2) - 5:
Answer:
Step-by-step explanation:
9x+4x+8-5
=13x+3
Etta buys some ribbon and cuts it into 5 pieces that are the same length. Each piece is 9 inches long. How long was the ribbon that Etta bought? The ribbon that Etta bought was inches long.
Answer:
The ribbion she bought is 45 inches long
Step-by-step explanation:
Answer:
about 45 inches
Step-by-step explanation:
Etta cut the ribbon into 5 peices that were each 9 inches long. Multiply those number and it should be about 45 inches.
Reduce the fraction into simplest terms. 9/12
Answer:
3/4
Step-by-step explanation:
divided by 3 to get the answer.
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
9 can also be written as 3×3 & 12 can also be written as 3×4.
So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.
[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]
geometry geometry geometry
Answer:
was only able to do #11
Step-by-step explanation:
Answer:
#12
Step-by-step explanation:
The perimeter of a rectangle is 96 feet. The
length is twice the width. What is the length?
Answer:
Step-by-step explanation:
THE LENGTH OF THE RECTANGLE IS SIX LESS THAN TWICE THE WIDTH. FIND THE DIMENSIONS OF THE RECTANGLE. W=18 FOR THE WIDTH. 2*18-6=36-6=30 FOR THE LENGTH. (sorry caps)
What is the equation of the line with slope of – 5 and passes through (2, – 3)?
Answer:
y = -5x + 7
Step-by-step explanation:
Graph has a slope of -5, which is the gradient
y = -5x + c
To find c you have to sub in the point (2, -3)
-3 = -5(2) + c
-3 + 10 = c
c = 7
Hence equation is:
y = -5x + 7
Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles
Solve equation for y. 6=4x+9y
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:45.. good luck:)
Step-by-step explanation:
It’s d .... you do length times width times height
PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK
Answer:
45
Step-by-step explanation:
If you just take the length (3)
and the width (5)
and multiply them it'll give you 15
then multiply that by the height(3)
and thats how you get 45!
C(-3,-1), Q(-2,3)
Find the distance between each pair of points
Answer:
The answer is
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(-3,-1), Q(-2,3)
The distance between them is
[tex] |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...[/tex]
We have the final answer as
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]
Hope this helps you
what is the mathematical expression for the problem withdrawing $10 every week from an outstanding $400?
Answer:
40
Step-by-step explanation:
because if you do 400 divided by 10, it gives you 40
how does slope affect a linear graph??
Answer:
With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.
hope this helps
Step-by-step explanation:
What is 0.007826 converted to scientific notation
Answer:
7.826 • 10^-3
Step-by-step explanation:
the decimal is moved 3 places to the right in order for there to be a digit in the ones place
because decimal is moved right, the exponent must be negative
A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. If necessary, round to two decimal places. Group of answer choices
Answer:
435.73 revolutions per minute
Step-by-step explanation:
Find the circumferance of the wheel.
27 times π which is 84.823 inches
divide that by 12 to get it into feet, 7.061 feet
Divide by 5280 to get that to miles, 0.001 miles
Divide 35 by 60 to get how many miles per minute the car travels, 0.583
Divide your miles per minute by the diameter of wheel
Your answer will be 435.73 Revolutions per Minute
A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the vegetable patch?
Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
The radius of a circle is 4.8cm. What is the diameter?
Answer:
9.6cm
Step-by-step explanation:
Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.
4.8*2=9.6
Diameter=9.6cm
Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour
Answer:
1/3
Step-by-step explanation:
6x – 3y = 36 find ySolve the equation below for y.
Answer:
y = 2x -12
Step-by-step explanation:
6x – 3y = 36
Subtract 6x from each side
6x-6x – 3y =-6x+ 36
-3y = -6x +36
Divide by -3
-3y/-3 = -6x/-3 +36/-3
y = 2x -12
(-1,2), (-1,-5) can you solve this for me
Answer:
Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.
Answer:
(x-1)!
Step-by-step explanation:
lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!
A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the width, what are its dimensions?
Answer:
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Step-by-step explanation:
Let
Width = 17 × width
Length = 8 × length
8l = 17w
l = 17w/8
Perimeter of a rectangular yard = 2(length + width)
400 = 2(17w/8 + w)
400 = 34w/8 + 2w
400 = 17/4w + 2w
400 = 17w+8w/4
400 = 25w/4
Cross product
1600 = 25w
Divide both sides by 25
w = 1600/25
= 64 feet
Recall,
l = 17w/8
= 17*64 / 8
= 1088/8
= 136 feet
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
18/40 in it's simplest form
Answer:
9/20
Step-by-step explanation:
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