Answer:
1/13
Step-by-step explanation:
Ice cream
starting = 2/3 full
After Jenna's shift = 1/6 of the tub
Total Time = 6.5hours
Amount of ice cream consumed = [tex]\frac{2}{3} - \frac{1}{6}[/tex]
= [tex]\frac{1}{2}[/tex] = 0.5
Rate per hour = amount of ice cream consumed -=/ total time
= 0.5/6.5 = 1/13 ice cream consumed per hour
A housepainter mixed 2 gallons of blue paint with
every 4 gallons of red paint in order to make purple
paint. Which ratio of gallons of blue paint to gallons
of red paint will make the same shade of purple
paint?
A. 8:12
C. 8:24
B. 3:5
D. 6:12
Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:
[tex]No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2[/tex]
Now we will check if the given options can be simplified to 1:2
So,
Option A:
[tex]8:12\\2:3[/tex]
Option B:
[tex]8:24\\1:3[/tex]
Option C:
[tex]3:5[/tex]
Option D:
[tex]6:12\\1:2[/tex]
As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.
A pie company randomly surveys 60 customers to determine which type of pie they would purchase.
The results of the survey are shown.
Favorite Type of Pie
Peach
25%
Apple
331%
Other
20%
Cherry
The company expects to sell 65 cherry pies in March.
Based on the survey results, how many whole peach pies should the company expect to sell in March?
Answer:
Explained below.
Step-by-step explanation:
Construct the frequency distribution from the percentage distribution as follows:
Favorite Type of Pie Percentage Frequency
Peach 25% 25% of 60 = 15
Apple 31% 31% of 60 = 18.6
Other 20% 20% of 60 = 12
Cherry 24% 24% of 60 = 14.4
TOTAL 100% 60
It is provided that the company expects to sell 65 cherry pies in March.
The total number of people buying pies is:
[tex]\#\text{People buying Cherry pies}=\#\text{People buying pies}\times 0.24\\\\\#\text{People buying pies}=\frac{65}{0.24}\\\\\#\text{People buying pies}=270.833[/tex]
Now compute the number of peach pies should the company expect to sell in March as follows:
[tex]\#\text{Peach pies expected to be sold}=270.833\times 0.25 =67.7\approx 68[/tex]
Is the graph nonlinear or linear??
Answer: I believe it's nonlinear
Answer:
linear
Step-by-step explanation:
State the slope (m) and the y-intercept (b)
What’s the value of y ?
26 is what percent of 4.16?
Answer:
26 is 6.25% of 4.16.
Hope this helped
7TH GRADE MATH PLEASE HELP THERE IS ANSWER CHOICES AS WELL
Answer:
3/8
Step-by-step explanation:
If 1/4 is equaled to 1. This is 1 dived by 4 to get the 1/4.
Then 1.5 would be divided by 4 to get 3/8
An item has listed price of $70. If the sales tax rate is 9%, how much is the sales tax (in dollars)
Answer:
The final sales tax price is $6.30.
Step-by-step explanation:
We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.
$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.
70 x 1.09 = 76.3
Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)
76.3 - 70 = $6.30
Therefore, the final price of the sales tax is $6.30.
Hope this helps! :)
4 1/6x6 simplest form neeeeeeeeeeeeeeeeeeed help plzzzzzzzzzzzz
Answer:25
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED
Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer: y=−3(x−2)^2+4
Step-by-step explanation:
f(x)=-3*x^2+12*x+-8
f(x)=-3*(x^2+-4*x+8/3) ( Factor out )
f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )
f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )
f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )
f(x)=-3*(x+-2)^2+4 ( expand )
The graph shows the amount of money earned by a teacher for running an after-school homework help session. How much does the teacher earn per hour?
Answer:
From the looks of the graph, it seems that the teacher earned either $40 a hour or $20 a hour.
Step-by-step explanation:
he length of a rectangle is five times its width.
If the perimeter of the rectangle is 120m , find its length and width.
Answer:
w = 10
l = 50
Step-by-step explanation:
Formula of Perimeter: w + w + l + l or 2w + 2l
l = 5w
2l + 2w = 120
2(5w) + 2w = 120
10w + 2w = 120
12w = 120
w = 10
l = 5(10)
l = 50
Check:
2l + 2w = 120
2(50) + 2(10) = 120
100 + 20 = 120
120 = 120
Hope This Helps!
Lets denote our variables as:
x the width of the rectangle5x the length of the rectangleThe formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:
2(x) + 2(5x) = 120
2x + 10x = 120
12x = 120
x = 120/12
x = 10 m → Width of the rectangle
Substituting in the length:
5x = 5(10) = 50 m → Length of the rectangle
The length of the rectangle is 50 m and its width is 10 m.
please help!!! i'll give brainliest!!!
Answer:
Step-by-step explanation:
just give it some great amount of thinking act like you are in the story or whatever and you will get your answer
subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x
Answer:
x = 11/2
Step-by-step explanation:
We would first put it in an equation
5x - 1 = 10 + 3x
We would first add 1 on both sides
5x = 11 + 3x
Then we subtract 3x on both sides
2x = 11
Divide both sides by 2
x = 11/2
The value of x from the given algebraic statement expression is;
x = 11/2
This is about simple Algebra.
The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;
5x - 1 = 3x + 10
Let's add 1 to both sides to get;
5x - 1 + 1 = 3x + 10 + 1
⇒ 5x = 3x + 11
Let's subtract 3x from both sides to get;
2x = 11
Divide both sides by 2 to get;
x = 11/2
Read more at; https://brainly.com/question/18358801
How do I write log7t as a base 2 logarithm?
Given:
The value is [tex]\log_7t[/tex].
To find:
The value as a base 2 logarithm.
Solution:
We know that,
[tex]\log_xy=\dfrac{\log_ay}{\log_ax}[/tex]
where, a is any positive value.
We have,
[tex]\log_7t[/tex]
Using the above property of logarithm, we get
[tex]\log_7t=\dfrac{\log_at}{\log_a7}[/tex]
For a=2,
[tex]\log_7t=\dfrac{\log_2t}{\log_27}[/tex]
Therefore, the given value as a base 2 logarithm can be written as [tex]\dfrac{\log_2t}{\log_27}[/tex].
Answer:
log2t/log2^7
Step-by-step explanation:
(what the other dude said)
Please help me with this question :(
Answer:
Slope is -2.
Step-by-step explanation:
Slope m = [tex]\frac{-1 - 7}{3 - -1}=\frac{-8}{4}=-2[/tex]
The sixth root of (729x30 y 18 )?
work out size of x
give reasons for your answers
Answer:
75 degrees
Step-by-step explanation:
180-105=75 as the angle GH
naturally with that format angle GH=angle AC
so x=75 degrees
4(5.8-9x)+8.2+22x simplify the expression
Answer 31.4-36x+22msxi
Step-by-step explanation:
Juliet needs to rewrite 3 (x + 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process?
A. She could combine the x and 2 to get 3 (2 x) = 6 y.
B. She could divide both sides by 3 to get x + 2 = 2 y.
C. She could distribute the 3 to get 3 x + 2 = 6 y.
D. She could subtract the 6y to get Negative 6 y = 3 (x + 2).
Answer:
because the x+2 is in parentheses, to put the equation in slope intercept form you would distribute the 3 to the x and the 2 using multiplication. So it would be 3x+6=6y. The final result would be y=1/2x+1.
Answer:
C. She could distribute the 3 to get 3 x + 2 = 6 y.
Step-by-step explanation:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2. It increases into quadrant 1 and goes through (1, 2) and (2, 8). Which functions could represent a reflection over the y-axis of the given function? Check all that apply. g(x) = –One-half(4)x g(x) = 0.5(4)–x g(x) = 2(4)x g(x) = One-half (one-fourth)x g(x) = One-half (one-fourth)–x
Answer:
B.) D.) ^above
Step-by-step explanation:
Just a trust lol
Answer:
B and D
Step-by-step explanation:
Edge 2022
z is a positive integer
Answer:
Yes....... Mark me as a brainlist.......
Answer:
PLEASE GIVE THANKS AND BRAINLIEST
It depends what number Z is
Step-by-step explanation:
if z is a while number such as 1,2,3,4,5 it is a positive integer
but if it is negative and is not a whole number such as -0.5 it is not
factor 1/6x + 2 help plz
Answer: 1/6 x ( x + 12 )
Step-by-step explanation:
The cold water faucet of a bathtub can fill the tub in 15 minutes. The drain, when opened, can empty the full tub in 20 minutes. Suppose the tub is empty and the faucet and drain are both opened at the same time. How long will it take to fill the tub?
Answer:
10 minutes
Step-by-step explanation:
This is because if u have both the faucet and drain on at the same time, it will fill the tub faster
Answer:
60 minutes
Step-by-step explanation:
faucet takes 15 minutes to fill the tub, so how much of the full tub is added per minute?[tex]15 minutes=1added/minute\\1minute=\frac{1}{15} added/minute[/tex] drain takes 20 minutes to empty the tub so how much of the full tub is lost per minute?[tex]20minutes=1lost/minute\\1minute=\frac{1}{20} lost/minute[/tex] How long it takes to fill the tub can be found by how much of it is added per minute minus lost per minute[tex]totalfilled/minute=added/minute-lost/minute\\=\frac{1}{15} -\frac{1}{20}=\frac{1}{60}[/tex] So one sixtieth of the tub is filled a minute, so that 60 parts of the tub, each taking a minute, that's 60 minutes or 1 hour2/7 x (-3/8) i need the answer
whta is the name of the shape?
Answer:
The entire shape is called a pentagon since it has 5 sides. However, it is not a perfect pentagon since the side and angle values are not congruent. So it would be an irregular pentagon to be more specific.
Step-by-step explanation:
Answer:
irregular pentagon
Rob reduced the size of a triangle to a
width of 2 in. What is the new height if it
was originally 10 in tall and 20 in wide?
Answer:
the new height is now 1 inch
Step-by-step explanation:
What number should go in the empty boxes to complete the calculation for finding the product of 0.63 × 0.24? 0.63 times 0.24 equals box 52 plus 1 box 60 equals 0.1512 (Hint: it is the same number. Input only one number in the blank.) (3 points) Blank 1:
Answer:
The number is 2
Step-by-step explanation:
0.63
× 0.24
= 252
+1260
=0.1512
step 1
The place value of 4 in one 0.24 is hundredth. Using 4-hundredth to multiply 063 gives 252
The place value of 2 in 0.24 is tenth
Using 2-tenth to multiply 063 gives 1260
Hence, 0.63 times 0.24 equals 252 plus 1260 equals 1.512
A T-shirt design company charges your team an initial fee of $25 to
create the team's design. Each t-shirt printed with your design costs an
additional $8. How much does it cost you to buy 10 shirts? **Don't forget
the initial fee.**(hint: determine the equation first y = _X + __ and then
plug in 10 for x)
Answer
$305 hope this helps!!! :)
Step-by-step explanation:
(A)
Let [tex]x[/tex] be the number of T-Shirts and [tex]y[/tex] be the total costs so that the total cost is:
Total Cost= $25+ $8 times the number of T-Shirts
(B) [tex]y=25+8x[/tex]
For 35 members we need 35 T-Shirts so using the Linear model from part (A) substitute [tex]x[/tex] to 35 and solve for [tex]y[/tex]:
[tex]y=25+8(35)[/tex]
[tex]y=25+280[/tex]
[tex]y=305[/tex]
Down the street, Smiley Face Foods has 24 pound watermelons on sale for $3.99. What is the unit rate for watermelon at this store? Which store has the better deal on watermelon?
Answer:
1 pound of watermelon is approximately $0.17 ($0.16625).You must've forgot to add the rest of the problem because there is no other store included
Step-by-step explanation: