Uma wants to buy a video game system for $270. She has $60 and is saving $30 each week. Solve the equation 30w + 60 = 270 to find how many week w it will take Uma to save enough to buy the system.
A. 8 weeks
B. 6 weeks
C. 7 weeks
D. 9 weeks
Answer:
C.7 weeks
Step-by-step explanation:
Subtract 60 on both sides then you get: 30w=210, then divide both sides and you get w=7, so it'll take 7 weeks
Answer:
C. 7 weeks
Step-by-step explanation:
30w + 60 = 270
- 60 -60
subtract 60 from both sides of the equal sign.
30w = 210
We need to isolate the variable, which is (w), so divide both sides by 30.
w = 7
It will take 7 weeks for Uma to save enough money to buy the video game system. So the answer is (c).
PLEASE HELP!! Write the equation of the line below in slope-intercept form. Remember, write any slopes as reduced, improper fractions!
Answer:
Step-by-step explanation:
equation:
Y=MX+B
Answer:
Y =3X+4
M = slope
B= Y intercept
Use the diagram shown to help you find the m∠LNM.
Answer:
135 is your answer......
A scale drawing of a movie screen is 21 inches long and 9 inches tall.
The actual screen is 30 feet tall.
a. What is the scale of the drawing?
b. Find the perimeter and area of the movie screen in the scale
drawing.
c. Find the actual perimeter and area of the movie
4. A dog shelter recorded the number of dogs, d, in their care as well as the pounds of dog food, f, the dogs consumed in a day. The table represents the relationship between the number of dogs, d, and the amount of food they ate, f. Name the independent variable and the dependent variable and explain.
Dogs 10 15 20 25 30
Food (lbs) 20 30 40 50 60
5. Use the table in question 4 to write an equation using d and f to illustrate the relationship between the two variables. Be sure to write the dependent variable in terms of the independent variable.
I will give brainliest!
Answer:
did you still need help with this?
Step-by-step explanation:
Which of the following statements does not describe the structure of an atom? (3 points)
a. Inside the nucleus of an atom are protons and neutrons.
b. Protons are positively charged sub-atomic particles.
c. Electrons are negatively charged sub-atomic particles.
d. Most of the mass of an atom comes from the electron cloud.
Answer: letter D. Most of the mass of an atom comes from elctron cloud
Step-by-step explanation: your welcome and have a good day
A student draws triangle EFG. The table shows the measurements of each angle of the triangle.
Answer:
Step-by-step explanation:
I'm not smart but I think it's b SRRY if wrong God bless
Which of these statements is true about similar figures?
A.Corresponding angles and sides are equal.
B.Corresponding angles are equal and corresponding sides are proportional.
C.Corresponding angles are proportional and sides are equal.
D.Corresponding angles and sides are proportional.
Answer: The answer is B.
Step-by-step explanation:
Quadrilateral KLMN has vertices K(2, 0), L(4, 0), M(5, –2), and N(1, –2). Graph the image after a counterclockwise rotation of 90° about the origin.
Answer:
Step-by-step explanation:
Gerald is testing a computer graphics program. He needs to insert a parabolic shape by transforming the quadratic parent function, f(x) = x2. Gerald needs the parabolic shape to open downward, stretch vertically by a factor of 2, shift right by 3 units, and shift down by 4 units. Which transformed function should Gerald enter into the computer graphics program to achieve this result?
g(x) = –2(x – 3)2 – 4
g(x) = 2(x – 3)2 – 4
g(x) = –2(x + 3)2 – 4
g(x) = 2(x + 3)2 – 4
Function, Gerald should enter to the computer is g(x) = -2(x + 3)² - 4
Correct option is C.
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation or reflection or translation.
Given,
Parent function f(x) = x²
g(x) = ?
Parabolic shape to be downward, meaning reflection over x- axisfor reflection over x - axis,
g(x) = -f(x)
g(x) = -x²
Stretch vertically by factor 2.For vertical stretch of factor a.
g(x) = a f(x)
g(x) = -2x²
Shift right by 3 unitsFor right shift by a
g(x) = f(x + a)
g(x) = -2(x + 3)²
Shift down by 4 unitsShift down by b units
g(x) = f(x) - b
g(x) = -2(x + 3)² - 4
Hence, g(x) = -2(x + 3)² - 4 is the function, Gerald should enter.
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Warren drives half the distance Kendall drives to work. Kendall drives 26 more miles to work than Joe. Warren drives 15 miles. Write an equation that models this situation. Use x to represent the number of miles Joe drives to work.
Answer:
15 times 2 - 26 = x
Step-by-step explanation:
Warren drives half the distance Kendall drives to work. Kendall drives 26 more miles to work than Joe. Warren drives 15 miles. Write an equation that models this situation. Use x to represent the number of miles Joe drives to work.
W X 1/2 = K
K - 26 = J
so 15 times 2 - 26 = x
Main street Auto Leasing has a ratio of cars to trucks that is 9:4.
Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.
If each leasing center has 24 trucks, which auto leasing company has more cars?
Main Street Auto Leasing has more cars since it has ______ cars while Airport Auto Leasing has ____ cars only.
Answer:
I hope you understood! Good luck with the rest of your class :)
Main Street Auto Leasing has more cars since it has more cars while Airport Auto Leasing has less cars only.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
Main street Auto Leasing has a ratio of cars to trucks that is 9:4.
And, Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.
Here, Each leasing center has 24 trucks.
And, Main street Auto Leasing has a ratio of cars to trucks that is 9:4.
Hence, Number of trucks in Main street Auto Leasing is,
⇒ 4x = 24
⇒ x = 6
So, Number of cars in Main street Auto Leasing is,
⇒ 9x
⇒ 9 × 6
⇒ 54
Here, Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.
Hence, Number of trucks in Airport Auto Leasing is,
⇒ 3x = 24
⇒ x = 8
So, Number of cars in Airport Auto Leasing is,
⇒ 5x
⇒ 5 × 8
⇒ 40
Hence, Main Street Auto Leasing has more cars since it has more cars while Airport Auto Leasing has less cars only.
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Two angles are missing in the diagram.
What is the value of b?
Which shape has opposite parallel sides and all sides the same length, but no right angles?
A.
rectangle
B.
square
C.
rhombus
D.
trapezoid
Answer:
Step-by-step explanation:
c, rhombus because it has different angles some times may be right angle.
Answer:
C it's a rhombus
Step-by-step explanation:
bekause have opposite parallel
6.9 is 112% of what number?
Answer:
6.16
Step-by-step explanation:
Electronic R Us buys an Ipad for $150 from the manufacturer. They sell it marked up 230%. You have a 20% coupon. How much will you pay for the Ipad?
plz help giving 44 points
Find the difference.
- 3.5
- 1.31
A) 2.21
B) 1.19
C) 2.19
D) 1.21
Answer:
2.19
Step-by-step explanation:
Answer:
2.19 (c)
Step-by-step explanation:
(-3.5) - (-1.31) = 2.19
We know the difference is how far apart the numbers are we can subtract to find out the answer is 2.19
Find the solution to the following system using substitution or elimination:
y = -4x + 9
y = 3x - 5
O (1, -2)
O (14, 37)
O (2, 1)
O (1, 5)
Answer:
a
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
y = -4x + 9 -------------->eq1
y = 3x - 5 --------------->eq2
consider eq 1 and put in eq2
-4x+9=3x-5
add -9 on both sides
-4x=3x-14
add -3x on both sides
-4x-3x=-14
-7x=-14
x=2
put in eq1
y=-4(2)+9
y=1
S.S=(2,1)
Dirk drew a scale drawing of a shopping center. The scale of the drawing was 2 inches : 1 foot. The actual length of a bakery in the shopping center is 71 feet. How long is the bakery in the drawing?
Answer:
142in
Step-by-step explanation:
If the inches are twice the amount of feet (2:1) then we multiply 71 by 2.
2:1
142:71
Hope this helps!
How do you find the equation of each function? Function A is f(x)=3x^2 and Function C is f(x)=18x-16. How do you get those? And then how do you get the equation for Function B? Thanks!
Answer:
[tex]f(x) = 3^x[/tex] --- Function A
[tex]f(x) = x^2 - 5[/tex] --- Function B
[tex]f(x) = 18x -6[/tex] --- Function C
Step-by-step explanation:
Solving (a): Equation of Function A
An exponential equation is represented as:
[tex]y = ab^x[/tex]
From the graph of function A,
[tex]x = 0\ when\ y = 1[/tex]
[tex]x = 1\ when\ y = 3[/tex]
For: [tex]x = 0\ when\ y = 1[/tex]
[tex]y = ab^x[/tex] becomes
[tex]1 = ab^0[/tex]
[tex]1 = a[/tex]
[tex]a =1[/tex]
For: [tex]x = 1\ when\ y = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]3 = a*b^1[/tex]
[tex]3 = a*b[/tex]
Substitute 1 for a
[tex]3 = 1*b[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]y = 1*3^x[/tex]
[tex]y = 3^x[/tex]
Replace y with f(x)
[tex]f(x) = 3^x[/tex]
Solving (b): Equation of Function B
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
From the table of function B,
[tex]x = 3\ when\ y =4[/tex]
[tex]x = 5\ when\ y =20[/tex]
[tex]x = 6\ when\ y =31[/tex]
For: [tex]x = 3\ when\ y =4[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]4 = a*3^2 + b*3 + c[/tex]
[tex]4 = a*9 + 3b + c[/tex]
[tex]4 = 9a + 3b + c[/tex]
For [tex]x = 5\ when\ y =20[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]20 = a*5^2 + b*5 + c[/tex]
[tex]20 = a*25 + b*5 + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
For [tex]x = 6\ when\ y =31[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]31 = a*6^2 + b*6 + c[/tex]
[tex]31 = a*36 + b*6 + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
So, we solve for a, b and c in:
[tex]4 = 9a + 3b + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
Make c the subject in [tex]4 = 9a + 3b + c[/tex]
[tex]c = 4 - 9a - 3b[/tex]
Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]
[tex]20 = 25a + 5b + c[/tex] becomes
[tex]20 = 25a + 5b + 4-9a-3b[/tex]
Collect Like Terms
[tex]-4+20 = 25a -9a+ 5b -3b[/tex]
[tex]16 = 16a+ 2b[/tex]
Divide through by 2
[tex]8 = 8a + b[/tex]
[tex]c = 4 - 9a - 3b[/tex]
[tex]31 = 36a + 6b + c[/tex] becomes
[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]
Collect Like Terms
[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]
[tex]27 = 27a+ 3b[/tex]
Divide through by 3
[tex]9 = 9a + b[/tex]
Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]
Subtract both equations:
[tex]8 - 9 = 8a - 9a + b - b[/tex]
[tex]8 - 9 = 8a - 9a[/tex]
[tex]-1 = -a[/tex]
Divide both sides by -1
[tex]1 = a[/tex]
[tex]a = 1[/tex]
Substitute 1 for a in [tex]9 = 9a + b[/tex]
[tex]9 = 9*1 + b[/tex]
[tex]9 = 9 +b[/tex]
Subtract 9 from both sides
[tex]9-9=9-9+b[/tex]
[tex]0=b[/tex]
[tex]b = 0[/tex]
Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]
[tex]c = 4 - 9*1-3*0[/tex]
[tex]c = 4 - 9-0[/tex]
[tex]c = -5[/tex]
So, the equation is:
[tex]y = ax^2 + bx + c[/tex]
[tex]y=1*x^2 +0*x-5[/tex]
[tex]y=x^2 -5[/tex]
Replace y with f(x)
[tex]f(x) = x^2 - 5[/tex]
Solving (c): Equation of Function C
This is calculated using:
[tex]f(x) =a + (x -1)d[/tex]
Where
[tex]a = 12[/tex] -- the first term
d = the difference between successive terms
[tex]d = 30 -12 = 48-30 = 66 -48[/tex]
[tex]d =18[/tex]
So, we have:
[tex]f(x) =a + (x -1)d[/tex]
[tex]f(x) = 12 + (x - 1)*18[/tex]
Open bracket
[tex]f(x) = 12 + 18x - 18[/tex]
Collect Like Terms
[tex]f(x) = 18x - 18+12[/tex]
[tex]f(x) = 18x -6[/tex]
Mrs. Kim bought
4
4 boxes of stickers at the store to share with her students. Each box contained
64
64 stickers.
Part A
Enter the total number of stickers Mrs. Kim bought at the store.
256
stickers
(b)
Part B
Mrs. Kim wants to share the stickers equally with each of her students. There are
32
32 students in her class.
Enter the number of stickers that each student will get.
8
stickers each
(c)
Part C
How many more boxes of stickers does Mrs. Kim need if she wants each of her students to get
12
12 stickers? Enter the number below.
more boxes of stickers
Answer:
2
Step-by-step explanation:
first, she would need to get at least 384 stickers in total since 32 (the number of students) x 12 = 384
Each box contains 64 stickers, so 384/64=6
She would need 6 boxes, but the question is asking how many MORE boxes, and she already has 4 boxes so she would need to get 2 more boxes
Divide is the basic multiplication method to distribute the whole of a things into more parts.The total number of stickers Mrs. Kim bought at the store are 256, the number of stickers that each student will get is 8 and the number of boxes of stickers Mrs. Kim need if she wants each of her students to get 12 stickers is 6.
Given-
Total number of boxes are 4.
The number of sticker each box contained is 64.
What is dividing method?Divide is the basic multiplication method to distribute the whole of a things into more parts.
A) Total number of stickers Mrs. Kim bought at the store.
Let Mrs. Kim bought the n number of stickers from the store.
It is given that the each box contained 64 stickers and there are total 4 boxes. Thus the total number of stickers are,
[tex]n=4\times64[/tex]
[tex]n=256[/tex]
Thus the total number of stickers Mrs. Kim bought at the store are 256.
B) The number of stickers that each student will get.
Total number of students in her class is 32.
Total number of sticker is 256.
Let each students will get x number of the sticker. Thus,
[tex]x=\dfrac{256}{32}[/tex]
[tex]x=8[/tex]
Thus the number of stickers that each student will get is 8.
C) The number of boxes of stickers Mrs. Kim need if she wants each of her students to get 12 stickers.
Total number of students in her class is 32.
The number of stickers that each student will get is 12.
Let for 32 students the total number of sticker required is a.Thus,
[tex]a=12\times32[/tex]
[tex]a=384[/tex]
She needs total 384 sticker to distribute 12 stickers to each students. As each box contain 64 stickers. Let b umber of boxes of stickers Mrs. Kim need if she wants each of her students to get 12 stickers.
[tex]b=\dfrac{384}{64}[/tex]
[tex]b=6[/tex]
Thus the number of boxes of stickers Mrs. Kim need if she wants each of her students to get 12 stickers is 6.
Hence the total number of stickers Mrs. Kim bought at the store are 256, the number of stickers that each student will get is 8 and the number of boxes of stickers Mrs. Kim need if she wants each of her students to get 12 stickers is 6.
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can you please help me with number 2 plssssssssssssssssssssssssssssssssssssssssssssss
Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10400
Step-by-step explanation:
Choose the expression that correctly represents, "8 less than 25."
A.)8 - 25
B.)25 - 8
C.)25 / 8
D.)33
Answer:
B. 25-8
Step-by-step explanation:
8 less than 25 means you are taking 8 from 25, so the answer is B.
Answer:
A)
Step-by-step explanation:
Its A because as it looks like it subtraction, its the only one that makes sense. Its showing that 8 > 25, but in a different way.
Consider a triangle with each angle measuring 60 degrees. How many different triangles can be made with the given condition, and why?
Answer: 1 only
Step-by-step explanation:
because u got 60
More than one different triangle can be made using the given condition, therefore, the last option is correct.
What is an equiangular triangle?An equiangular triangle is one with three equal sides and three equal angles, all of which are measured at 60 degrees.
Given that, each angle of the triangle measures 60°.
Therefore, the triangle is an equiangular triangle.
There exist triangles with the same angle measure of 60° each, but with different side lengths.
Hence, more than one different triangle can be made using the given condition, therefore, the last option is correct.
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need help with this plz help me
Answer:
send the question please
Step-by-step explanation:
Giving brainliest!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
what 3x9
a.
A bag of candy contains 300 pieces. 28% of the pieces of candy are red. How many red candies are there?
b. How many pieces are not red? What percent of the bag of candy is this?
Answer:
there are 84 red candies and 216 of non red candies (72%)
Step-by-step explanation:
Answer:
A. there are 216 red candies
72% of the candies are red
B. 84 of the candies are not red
28% of the bag of candies is not red
Step-by-step explanation:
what is the percent of 13/40
The answer is 32.5%
and if you need it in decimal form, it would be,
[tex]0.325[/tex]