Answer:
Unit rate = 1 1/2 cups per serving
Step-by-step explanation:
1/2 serving has 3/4 cup
1 serving
3/4 * 1/2 = 3/4 * 2/1 = 6/4 = 6/4 / 2 = 3/2 = 1 1/2
36+81
Rewrite this using distributive property
Answer:
30+6+80+1= 117
Step-by-step explanation:
Answer:
You cannot distribute this question.
Evaulated, however, would give you 117
A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,137,200 from each sold-out event. How many seats does each section hold?
can you also show how you got it?
ASAP
Answer:
There are 24000 seats in section A, 14200 in section B and 9800 in section C.
Step-by-step explanation:
There are 24000 sears in section A, 14200 in section B and 9800 in section C.
The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each figure. Rectangular prism: L= 6 ft. W= x H=3 ft. Triangular Prism: L= 7 ft W= x H=4 ft. Volume of rectangular prism: _ ft3 Volume of triangular prism: _ ft3 PLEASE ANSWER ASAP! I'M OFFERING A LOT OF POINTS!
Answer:
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
Answer:
rectangular is 114ft and triangular is 112ft
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
You purchased a computer for your business for $800. Using straight-line depreciation, the amount of depreciation allowed for each year after the purchase is given by the function f (x) = 800 − 114.29x. What type of function can you use to model the data?
Answer:
linear function
Step-by-step explanation:
The given function is linear function.
What is linear function?A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3[tex]x[/tex] - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with g([tex]x[/tex]), this function can be written as g([tex]x[/tex] )= 3[tex]x[/tex] - 2.
A linear function is of the form g([tex]x[/tex]) = m[tex]x[/tex] + b where 'm' and 'b' are real numbers. Here,
'm' is the slope of the line'b' is the y-intercept of the line'[tex]x[/tex]' is the independent variable'y' (or g([tex]x[/tex])) is the dependent variableGiven:
y = 800 - 114.29[tex]x[/tex]
year accumulated
depreciation
0 0
1 114.29
2 228.58
3 342.87
4 457.16
5 571.45
6 685.74
7 800
Learn more about this concept here:
https://brainly.com/question/19544044
#SPJ2
Solve for a.
a+4
3
a+2
5
(1 point)
O-1
07
0-7
O 1
Answer:
Solve for a.
a+4
3
a+2
5
(1 point)
O-1
07
0-7
O 1
Help with math problem for algebra 2
Answer:
[tex]a=10[/tex]
Step-by-step explanation:
Equation 1: [tex]2a+3b=-1[/tex]
Equation 2: [tex]4a+2b=26[/tex]
Subtract 3b from both sides in Equation 1:
[tex]2a=-1-3b[/tex]
Divide both sides by 2:
[tex]\frac{2a}{2}=-\frac{1-3b}{2}[/tex]
[tex]a=\frac{-1-3b}{2}[/tex]
Substitute this into Equation 2:
[tex]4* \frac{-1-3b}{2}+2b=26[/tex]
[tex]2\left(-3b-1\right)+2b=26[/tex]
[tex]-6b-2+2b=26[/tex]
[tex]-4b-2=26[/tex]
Add 2 to both sides:
[tex]-4b=28[/tex]
Divide both sides by -4:
[tex]\frac{-4b}{-4}=\frac{28}{-4}[/tex]
[tex]b=-7[/tex]
We know that [tex]a=\frac{-1-3b}{2}[/tex]. Plug in b = -7 value:
[tex]a=\frac{-1-3\left(-7\right)}{2}[/tex]
[tex]a=\frac{-1+3\cdot \:7}{2}[/tex]
[tex]a=\frac{20}{2}[/tex]
[tex]a=10[/tex]
quick math question ghghghujhghj
[tex]\text{Hey there!}[/tex]
[tex]\bf{3(4x + 1) - (5x + 7)}[/tex]
[tex]\text{FIRST: distribute the NEGATIVE sign}[/tex][tex]\text{(On the RIGHT side of the problem/equation)}[/tex]
[tex]\bf{-1 (5x + 7)}[/tex]
[tex]\bf{-1(5x) + -1(7)}[/tex]
[tex]\bf{-1(5x) = -5x}[/tex]
[tex]\bf{-1(7) = -7}[/tex]
[tex]\bf{\underline{= -5x - 7}}[/tex]
[tex]\text{SECOND: distribute the LEFT side of the problem/equation}[/tex]
[tex]\bf{3(4x+1)}[/tex]
[tex]\bf{3(4x) + 3(1)}[/tex]
[tex]\bf{3(4x) = 12x}[/tex]
[tex]\bf{3(1) = 3}[/tex]
[tex]\bf{\underline{12x+3}}[/tex]
[tex]\text{THIRD: make the new equation}[/tex]
[tex]\text{Equation becomes: \bf{12x + 3 - 5x - 7}}[/tex]
[tex]\text{FOURTH: COMBINE your like terms}[/tex]
[tex]\bf{(12x - 5x) + (3 - 7)}[/tex]
[tex]\bf{12x - 5x = 7x}[/tex]
[tex]\bf{3 - 7 = -4}[/tex]
[tex]\text{ANSWER}[/tex]
[tex]\boxed{\text{Thus, your answer is: \boxed{\huge\text{\bf7x - 4}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Which linear function has a negative slope?
A. y = -5 + 4x
B. y = –2(4 – 3x)
O C. y = 2 - x
O D. y = 6(1 + 2x)
Answer: C y=2-x
Step-by-step explanation:
18
A boy is moving a rectangular lawn 40 lt. long and 30 ft. wide. He
has cut all of it except for a rectangle that is 20 it, long and 15 ft
wide. What Iractional part of the loan remains uncl?
3
1
B
)
EL NOLA
1
1
Answer:
40x30= 1200, 20x15=300, 300/1200= 1/4.
Step-by-step explanation:
You can also visualize it. Imagine a field 40’ long and the boy cut the top 20’ of it but left 20’ of the bottom, he would have cut half of it at this point. Now it’s 30’ wide and he cut the left 15’ of what’s remaining but left the right 15’ uncut. So now there’s a 20’x15’ bottom right corner left uncut. There are 4 sections that are 20’x15’ and he left one out of four uncut, otherwise written as 1/4.
What is the measure of angle B? Someone please help ASAP!!
Given a bottle with a Height vs. Volume graph that is created as the bottle is consistently filled with a liquid, describe the correlation between the width of the bottle and the steepness of the graph.
Answer:
I understand this problem as follows.
We have a bottle (the bottle is empty at the beginning)
Now, as we start to fill the bottle, we do a graph of height vs volume.
Where height is the height of the liquid inside the bottle, and volume is the volume of liquid inside the bottle.
suppose that here you need a volume V to reach a height H.
Now, if we increase the width of the bottle, we are increasing the volume of the bottle.
This means that we should pour a larger volume of liquid to reach the same height as before.
V' = V + d, to reach the same height H.
Then the steepness of the graph decreases.
Suppose you are sending instructions to a factory for a set of customized triangles. You are only allowed to give them three pieces of information about each triangle. Give three examples of the instructions you could provide.
Answer:
There is something called "criteria of congruence for triangles".
Those criteria say that, with some data of the triangles, we can know if the triangles are equivalent.
For example one of the criteria is SSS.
Side-side-side.
This means that all the triangles with equal side length for all their sides are equivalent.
So if the information that we give to the factory is the side length of the 3 sides of the triangle, the triangle will be well defined.
Following those criteria, the other 2 options can be:
SAS
Side-Angle-Side
(so you can give the length of two sides and the angle between them)
ASA
Angle-Side-Angle.
(You can give the value of two angles and the length of the side between those two angles)
-2r-14=14 solve for r
Answer:
r = -14
Step-by-step explanation:
-2r - 14 = 14
add 14 to each side
-2r = 28
divide by -2
r = -14
what’s the awnser for this???
1.4 is less than 1.5
Step-by-step explanation:
Method 1 data from internet
[tex] \sqrt{2} = 1.414213562373095........[/tex]
[tex] \sqrt{2} < 1.5[/tex]
or Method 2
[tex] \sqrt{2} ....1.5 \\ [/tex]
[tex] { \sqrt{2} }^{2} ..... \: \: {1.5}^{2} \\ [/tex]
2 ..... 2.25
square root2 < 1.5
Evaluate f(t)=-2t^2+ 1 for f(-3). PLEASE HELP I BEG YOU!!!!!!!!!!!
Answer:
[tex]f(-3)=-17[/tex]
Step-by-step explanation:
→ Substitute in t = -3 into [tex]f(t)=-2t^{2} +1[/tex]
[tex]f(-3)=-2*-3^{2} +1[/tex]
→ Simplify
[tex]f(-3)=-2*9 +1[/tex]
→ Simplify
[tex]f(-3)=-18 +1[/tex] ⇔ [tex]f(-3)=-17[/tex]
The drama club is printing T-shirts for its members. The printing company charges a certain amount for each shirt plus set up fee of $40 they are 21 students in the drama club. If there are 21 students in the club and the T-shirt order cost a total of 187 how much does each T-shirt cost show your reasoning
Answer: $7
Step-by-step explanation:
Let x = Cost of each T-shirt.
As per given,
Total charge =( Number of t shirts x Cost per t shirt )+ set up fee
For 21 T-shirts , total charge would be : 21x+40
According to the question
⇒21x+40=187
⇒21x = 187-40
⇒21x = 147
⇒x= 7
Hence, each T-shirt costs $7 .
Which figures demonstrate a reflection? Select each correct answer.
top right and bottom right
The figures demonstrate a reflection are option (B) and option (D) are the correct answer.
What is a reflection of transformation?A reflection is a type of transformation. It maps one shape onto another. The function retains its basic shape; however, by including a negative sign in the appropriate place in the equation, the graph of the function will flip over one or the other of the axes.
For the given situation,
The options shows the different figures. we need to select the figure that correctly demonstrates the reflection.
Option A:
Here, the figure is not flipped on the axes.
The figure in option A does not show the transformation of reflection.
Option B:
Here, the figure is flipped on the axes.
The figure in option B shows the transformation of reflection.
Option C:
Here, the figure is not flipped on the axes.
The figure in option C does not show the transformation of reflection.
Option D:
Here, the figure is flipped on the axes.
The figure in option D shows the transformation of reflection.
Hence we can conclude that the figures demonstrate a reflection are option (B) and option (D) are the correct answer.
Learn more about reflection of transformation here
https://brainly.com/question/12221775
#SPJ3
3x-29=8y+17=6x-7 solve for x and y
Answer:
x = -22/3, y = -17/2
Step-by-step explanation:
list all sets that apply for 0.6
Answer:
i know
Step-by-step explanation:0.6
−6 + 4 = −2 + 8 = −3 − 4 = 7 − 8 =
Answer:
[tex]-6+4=-2\\-2+8=6\\-3-4=-7\\7-8=-1[/tex]
Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor? PLSS HELP!
Answer: 45 / 40 ft
Step-by-step explanation:
Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?
Actual width of shorter side = 45 ft
New width of shorter side = 40 ft
Scale factor is the ratio of the actual length to the new or intended length
Scale factor = Actual width / New width
Hence, scale factor :
45 ft / 40 ft
The estimate obtained from a sample of which of the following sizes would
most likely be closest to the actual parameter value of a population?
A. 60
B. 180
C. 600
D. 300
Answer: I am doing this quiz right now I think the answer is C, 600.
Step-by-step explanation:
I think the higher you increase the sample size, the closer you get to the actual parameter.
The sizes that should be closest to the actual parameter value of a population is option c. 600.
What is estimation point?It represent the amount of the parameter that can be in the form of the mean or the standard deviation. Also, it helps for determining the confidence interval.
Also, we know that if the sample size is high so there should be more precise for the estimate.
So as per the given options, the option c is correct.
Learn more about population here: https://brainly.com/question/24526520
The Super Shop is having a grand opening sale. Today's special includes 4
dresses for $44. Write an equation for the cost, c, in dollars per dress, d. Type
your answer in the blank provided please <3
Answer:
11
Step-by-step explanation:
4d=44
4d/4=44/4
d=11
the cost is 11$ per dress
(Giving Branliest)
Olympic sprinter Usain Bolt's top speed is roughly 28 miles per hour. Convert this record-breaking speed to feet per sec. (1 mile = 5,280 feet)
Hey there! I'm happy to help!
28(5280)=147840 feet per hour.
There are 60 minutes in an hour. To find out how many feet Bolt runs in a second we divide by 60.
147840/60=2464
And we divide by sixty again to get to seconds.
2464/60=41 1/15 feet per second.
Have a wonderful day! :D
Multiply to feet.
28 * 5280 = 147840
Divide by an hour in minutes.
147840 / 60 = 2464
Divide by a minute in seconds.
2464 / 60 = 41 1/5 ft/s
Best of Luck!
3 times the sum of a number and 2 is 12
12 subtracted from 3 times a number is 15
(3-12)=15
5n+7=7(n+1)-2n
...........
Answer:
No solution
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The average speed on a city street is 35 miles per hour (mph).
Assuming you drive the speed limit, how long will it take you to
drive 7 miles? Use the formula d=rt.
Answer:
Distance-Rate-Time and other Products
In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.
Distance = (Rate)(Time)
The equation that relates distance, rate, and time is
d = rt
Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.
Example 1
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
9 miles
Example 2
Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?
Solution
The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:
r = 15
Next, 24 miles is a distance. We have:
d = 24
Now use the d=rt equation to get
24 = 15t
To solve this, divide both sides by 15 to get
t = 24/15
Both are divisible by 3, so this fraction reduces to
t = 8/5 = 1.6
Elena's ride takes 1.6 hours.
HURRY PLS IM BEING TIMED!!What is the polynomial function?
a)f(x) = x4 + 3x2 – 10
b)f(x) = x4 – 4x3 + 5x2 – 2
c)f(x)=x4 – 4x3 + 3x2 + 8x – 10
Answer:
The correct answer is C
Step-by-step explanation:
Just trust the process
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
5 + (-2)=
A. -3
B. 3
C. -2
D. -5
E. 0
Answer:
it is b because I did the math and got that
Answer:
3 or B
Step-by-step explanation:
The positive becomes a negeative turning your problem into 5 - 2 = 3
