Step-by-step explanation:
Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF (greatest common factor) = 6
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :
66 + 36 = 3 (22 + 12)
But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :
66 + 36 = 6 (11+ 6)
= 6(17)
= 102
Hence, this is the required solution.
You make an initial deposit of $2,500 in an account that offers 6% simple interest per year. How much will be in the account after 4 years?
Enter the correct answer in the box.
Answer:
3100
Step-by-step explanation:
3100
The amount of money in the account that he has after 4 years will be $3100.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A = P + (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
You make a $2,500 initial deposit into an account that pays 6% simple interest per year.
Then the amount of money in the account that he has after 4 years will be given as,
A = 2500 + (2500 x 6 x 4)/100
A = 2500 + 600
A = $3100
The amount of money in the account that he has after 4 years will be $3100.
More about the simple interest link is given below.
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I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?
Answer:
your numnber is 15
Step-by-step explanation:
3x-3=n
nx=90
nx=90
(3x-3)x=90
3x^2-3x=90
x=6
3x-3=n
3(6)-3=n
18-3=n
15=n
The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
Answer:
Width of the rectangle = 6.325 units
Length of the rectangle = 12.65 units
Side length of the square the 6.325 units.
Step-by-step explanation:
The length of a rectangle is twice the width. The area of the rectangle is 80 square units.
The area of the rectangle = Length × Width
Length = 2W
80 square units = 2W × W
80 = 2W²
W² = 80/2
W² = 40
W = √40
Width of the rectangle = 6.3245553203 units
Approximately = 6.325 units
Length = 2 × Width
= 2 × 6.325
= 12.65 units
• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square?
We you divide a rectangle into 2 squares,
The length is divided into two.
Hence, the length of the rectangle = 12.65 units
12.65 units ÷ 2 = 6.325 units.
Hence, the side length of the square the 6.325 units.
an equivalent name for 96??
Answer:
Ninety-six
Step-by-step explanation:
An equivalent name for 96 is ninety-six. Word form is equivalent to number form. I hope I helped!
thoughts on Larray's new song? anyone??
Answer:
Step-by-step explanation:
EST SONG EVER ITS ALMOST AT 40 MIL VEIWS SO COOL
A________is a_________ in which a figure is enlarged or reduced
Answer:
Center of Dilation
Step-by-step explanation:
in a dilation, the fixed point about which the figure is enlarged or reduced
Kerry made fruit punch for the party. She made 62 quarts of fruit punch. She divided the punch into 8 containers equally. How much punch did each container hold?
Answer:
7 quarts of punch
Step-by-step explanation:
62/8 is 7.75,
Evaluate the expression when n= -2
5n+30
Answer:
20
Step-by-step explanation:
5(-2)+30 = (-10)+30 = 20
A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18
Answer:
C
Step-by-step explanation:
Fine the perimeter AND area of the composite shape.
Express 48 as a product of its primes.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
^^^
six less than seven times a numer is equal to -20
Answer:
-8.85
Step-by-step explanation:
-20 divided by 7
minus 6=-8.85
sry if that make sense
Soren is flying a kite on the beach the String forms a 45 angle with the ground if he has let our 16 made of line how high above the ground is the kite
Answer:
Hope the picture helps
Step-by-step explanation:
A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h, at time t seconds after
launch is given by the equation h(t) = -16t^2 + 128t +12 . How long will it
take the rocket to reach the ground?
Answer:
4 mins
Step-by-step explanation:
The time taken by the rocket to reach the ground is 8 seconds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The toy rocket is launched from a platform
The height of the platform = 12 feet
The initial velocity of the rocket = 128 feet / second
Let the height of the launch be = h
Let the time taken by the rocket be = t
The height after the launch after t seconds is given by the equation
h ( t ) = -16t² + 128t + 12
Now , for the rocket to reach the ground , the equation will be
h ( t ) = -16t² + 128t
Since , it is launched from the 12 foot platform , the equation will be
h ( t ) = -16t² + 128t
The height of the rocket on reaching the ground h ( t ) = 0
Substituting the value of h ( t ) in the equation , we get
h ( t ) = -16t² + 128t
0 = -16t² + 128t
16t² - 128t = 0
16t ( t - 8 ) = 0
t - 8 = 0
Adding 8 on both sides , we get
t = 8 seconds
Hence , the time taken by the rocket to reach the ground is 8 seconds
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Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line
as follows.
What was her Mistake?
She Mixed Up the slope and the y-intercept.
She got the sign of the slope wrong.
She git the sign of the y-intercept wrong.
She found reciprocals of the slope and the y-intercept.
ASAP Please Right Answer
Answer:
She got the sign of the slope wrong
Step-by-step explanation:
She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.
Please mark brainliest if this helped you!
Answer:
she got the sign of slope wrong
Step-by-step explanation:
took test on edg
Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?
Answer:
Step-by-step explanation:
find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer
determine 3,000,000,000 is how may times the value of 15,000,000 in standard form and scientific notation.
Answer:
200 times and 2x10^2
Step-by-step explanation:
I hope this helps ( ps love the Killua Profile pic !)
HELP WILL MARK AS BRAINLIEST! 11 POINTS
Answer:
u=50/11
Step-by-step explanation:
cross multiply and divide on both sides
Answer:
u = [tex]\frac{50}{11}[/tex]
Step-by-step explanation:
Given
[tex]\frac{u}{10}[/tex] = [tex]\frac{5}{11}[/tex] ( cross- multiply )
11u = 50 ( divide both sides by 11 )
u = [tex]\frac{50}{11}[/tex]
Ellie bought cookies and cupcakes from Publix for $102.44. If she spent $36.44 on cookies and the cupcakes are $11 per box, which equation represents this situation?
A)11x - 36.44 = 102.44
B)102.44x + 11 = 36.44
C)11x + 36,44 = 10244
D)102.44 + 36.44x = 11
Answer:
C
Step-by-step explanation:
She spent $102.44 in total.
She spent $36.44 on cookies.
And $11 per box of cupcakes.
This means that she knows the exact amount she spent on cookies and in total so now to find out how much she spent on cupcakes, she subtracts $36.44 from $102.44($66) and then divides 66 by 11(6). So if you needed the problem solved x=6.
find the slope of the line
Answer:
[tex]m=2[/tex]
General Formulas and Concepts:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define points
(-2, 2)
(0, 6)
Step 2: Find slope
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{6-2}{0-(-2)}[/tex]
[tex]m=\frac{4}{0+2}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]m=2[/tex]
Is a continuous graph a graph with connected lines and curves? PLEASE help! WILL GIVE BRAINLIEST
Answer:
That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)
Step-by-step explanation:
⎧ y=2x+3 y=−3x+3
pls help me with this i attached a photo of the question thanks!!
Answer:
-232
Step-by-step explanation:
the salt flats have an elevation of 50 feet greater than -282, so add 50 to -282 and you get -232
a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?
Answer:
80.5 kilometers/h
Step-by-step explanation:
S=80.5km/h
D644
T8 hours
The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.
What is the average speed?
Average speed is the total distance travelled per time. It is used to determine the total distance per time.
Average speed = total distance / total time
644 / 8 = 80.50 km/h.
To learn more about average speed, please check: https://brainly.com/question/21734785
X squared plus X equals six solve for X as if it’s a positive number
I need help finding a,b, and c?
Answer:
is a b and c supposed to represent angles or lengths?
Step-by-step explanation:
There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)
Answer:
196 students are going on the field trip
Step-by-step explanation:
Y = 98% * 200
Converting percent to decimal:
p = 98%/100 = 0.98
Y = 0.98 * 200
Y = 196
I hope this helps
I’ll give brainliest I need help
Answer:
1, -1, -3, 3
Step-by-step explanation:
f(x) = 2x-1
f(1)=2*1-1 = 2-1 = 1
f(0) = 2*0 - 1 = -1
f(-1) = 2* -1 -1 = -2-1 = -3
f(2) = 2 * 2 -1 = 4-1 =3
please answers soon and answer correctly.
a- b for
for a= (-7) and b = 30
Answer:
-37
Step-by-step explanation:
-7-30
=-37
You are adding the negatives therefore, you will get a larger number of negatives.