The question is missing some parts. Here is the complete question.
Mrs. Smith is making homemade silly putty for hte children in her class. Here is how the ingredients are mixed:
1/5 of the mixture is starch
1/2 of the mixture is glue
1/5 of the mixture is water
1/10 of the mixture is borax
When theingredients are mixed in the same ratio as shwon above, every batch of silly putty will be the same consistency. Study hte measurements for each batch in the table. Fill in the blanks so that every batch will have the same consistency.
Mrs. Smith wants to mix a 15-cup batch of the mixture for Mr. Brown's class. How many cups of each ingredient should she use in the mixture?
________ cups starch
________ cups glue
________ cups water
________ cups borax
Answer: 3 cups of starch;
7.5 cups of glue;
3 cups of water;
1.5 cups of borax
Step-by-step explanation: The ratio to create the same consistency for the silly putty is 1/5:1/2:1/5:1/10, which means that for the whole mixture one fifth is starch; half is glue; another one fifth is water and one tenth is borax.
For a batch of 15 cups:
Starch = 1/5.15
Starch = 3
Glue = 1/2.15
Glue = 7.5
Water = 1/5.15
Water = 3
Borax = 1/10.15
Borax = 1.5
In other words, to create a 15-cup batch of silly putty with the same consistency described above, Mrs. Smith will have to mix 3 cups of atrach, 7.5 cups of glue, 3 cups of water and 1.5 cups of borax.
Which equation does the graph below represent?
1- y = 1/4x
2. y=4x
3. y= -1/4x
4. y= -4x
Answer:
4. y=-4x
Step-by-step explanation:
your rise (up and down) is negative as it goes 4 down and your run (left and right) is positive and it goes 1 to the right
[tex] - \frac{4}{1} = - 4[/tex]
Someone help me please !!
Answer:
C (1,2)
Step-by-step explanation:
Emz and Colt are doing good deeds. They each help 5 people and each of those people helps five more and so on.
Answer:
The question is not written, so i will answer in a general way.
We know that we start with two people, Emz and Colt.
Let's define the function:
P(n) = The number of people helped in each iteration.
such that n is the number of each event (n = 1 is when Emz and Colt help 5 people each, n = 2 is when those helped people help more people, and so on)
We know that:
P(1) = 10
Because we have 2 persons helping 5 each, 2*5 = 10.
Now, each one of these 10 persons help 5 people, then:
P(2) = 10*5 = 50
Now each of these 50 people help 5 more, then:
P(3) = (10*5)*5 = 10*5^2
We already could see the pattern, such that:
P(n) = 10*(5)^(n - 1)
This equation represents the number of people helped in each iteration.
On a certain hot summer's day, 451 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1042.75. How many children and how many adults swam at the public pool that day?
Answer:120 children and 388 adults bought tickets for the swimming pool
Step-by-step explanation:
can anyone help me on this?
Answer:
Step-by-step explanation:
(1,3)
Answer:
I think the slope is 3/1
Step-by-step explanation:
3 rise ,1 run
(1,3)
Dayami works at Future Shop and earns $10.50/h plus 6% commission on sales. Last
week Dayami worked 40 hours. What was Dayami’s weekly gross salary if her total sales
were $2050?Dayami works at Future Shop and earns $10.50/h plus 6% commission on sales. Last
[tex]= \tt\$570[/tex]
Answer with steps :Money Dayami earns for an hour's work = $10.50
Number of hours Dayami worked last week = 40
Money Dayami would have gotten for her work :
[tex] =\tt 10.50 \times 40[/tex]
[tex] =\tt \$ \: 420[/tex]
Thus, money earned by Dayami for her work = $420
Total sales Dayami made last week = $2050
Money Dayami must have earned as commission :
= 6% of total sales
[tex] = \tt6 \% \: of \: 2500[/tex]
[tex] = \tt\frac{6}{100} \times 2500[/tex]
[tex] =\tt \frac{15000}{100} [/tex]
[tex] =\tt \$150[/tex]
Thus, money Dayami earned as a commission = $150
Dayami's weekly gross salary last week :
[tex] = \tt420 + 150[/tex]
[tex] =\color{plum} \tt \: \$570[/tex]
Thus, total salary = $570
Therefore, Dayami's gross salary last week = $570
Solve for x in the diagram below.
3xº
75°
Answer:
x = 35°
Step-by-step explanation:
A flat line = 180°
Knowing that, we can make an equation:
3x + 75 = 180
Now, solve:
3x + 75 = 180
- 75 - 75
3x = 105
x = 35
Hope this helps :)
Answer:x=35
Step-by-step explanation:180-75=105
105/3=35
A survey taken by 1,000 students at a school asked
whether they played school sports. The table below
summarizes all 1,000 responses from the students
surveyed.
Males
Females
312
220
Play a school sport
Do not play a school sport
?
216
How many of the males surveyed responded that
they do not play a school sport?
Answer:
Step-by-step explanation:
question in the picture thankss
Answer:
b
Step-by-step explanation:
There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible?
A.It is possible to split the pistachios into 40 packages because each package will contain 107 pistachios.
B.It is possible to split the pistachios into 40 packages because each package will contain 108 pistachios.
C.It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios.
D.It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,380 pistachios.
Answer:
C
Step It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios
A piece of paper is to display 150, space square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used? Choose 1 answer:
Answer:
[tex]Height = 8.660\ in[/tex]
[tex]Width = 17.321\ in[/tex]
Step-by-step explanation:
Given
[tex]Area= 150in^2[/tex]
[tex]Side\ Margin = 1\ in[/tex]
[tex]Top\ \&\ Bottom\ Margins = 2\ in[/tex]
Required
Determine the smallest dimension to use
To answer this question, I'll make use of the attached figure as a point of reference.
The area of the printed matter is:
[tex]Area = Length * Width[/tex]
[tex]A_1 = H * W[/tex]
Substitute 150 for A1
[tex]150 = H * W[/tex]
Make H the subject
[tex]H = \frac{150}{W}[/tex]
The area of the full paper is:
[tex]Area = Length * Width[/tex]
[tex]A_2 = (W + 2+2) * (H + 1 + 1)[/tex]
[tex]A_2 = (W + 4) * (H + 2)[/tex]
Substitute 150/W for H
[tex]A_2 = (W + 4) * (\frac{150}{W} + 2)[/tex]
Open brackets
[tex]A_2 = W(\frac{150}{W} + 2) + 4(\frac{150}{W} + 2)[/tex]
[tex]A_2 = 150 + 2W + \frac{600}{W} + 8[/tex]
Collect Like Terms
[tex]A_2 =2W + \frac{600}{W} + 8+150[/tex]
[tex]A_2 =2W + \frac{600}{W} + 158[/tex]
Differentiate with respect to w and set the result to 0
[tex]A_2' = 2 - \frac{600}{W^2} + 0[/tex]
[tex]A_2' = 2 - \frac{600}{W^2}[/tex]
Set to 0
[tex]0 = 2 - \frac{600}{W^2}[/tex]
Collect Like Terms
[tex]2 = \frac{600}{W^2}[/tex]
Cross Multiply
[tex]2 * W^2 = 600[/tex]
Make [tex]W^2[/tex] the subject
[tex]W^2 = \frac{600}{2}[/tex]
[tex]W^2 = 300[/tex]
Take positive square root of both sides
[tex]W = 17.321[/tex]
Recall that:
[tex]H = \frac{150}{W}[/tex]
[tex]H = \frac{150}{17.321}[/tex]
[tex]H = 8.660[/tex]
Hence, the smallest dimension of the paper is:
[tex]Height = 8.660\ in[/tex]
[tex]Width = 17.321\ in[/tex]
Answer:
H=18
W=12
Step-by-step explanation:
The question says 1 inch margins on the sides AND the top. And THEN a 2 inch margin ONLY on the bottom.
First, solve for y,
A = xy
150 = xy
150/x = y
If the center dimensions is A and its it equals x*y, then plus the margins, the outer dimensions would just be x+(size of margins) for width and y+(size of margins) for height.
This gives us
Width: x + 2
Height: y + 3
Putting height into terms of x: (Substitute y) = 3 + 150/x
Now, since the area of a rectangle is b*h, the equation is:
(x + 2)(3 + 150/x)
Simplify:
3x + 150 + 6 + 300/x
= 3x + 156 + 300/x
Next, we find the derivative of this and then solve for x.
= 3 - 300/x^2
Solving for x:
0 = 3 - 300/x^2
3 = 300/x^2
3x^2 = 300
x^2 = 100
x = 10
Now that we have x, we plug this into the different equations for height and base:
Base=(10) + 2 = 12
Height=3 + 150/(10) =3+15 = 18
Hope this helps!
1. Determine the scale factor of the given dilation from point O
(image : pre-image)?
A) 3 : 2 B) 1.5 : 1 C) 5 : 2 D) 2 : 3
Answer: B
Step-by-step explanation:
Someone HELP PLZ GIVING OUT BRIANLEST
Answer:i think is "Exponential",not sure
Step-by-step explanation:
In the diagram which angle is part of a linear pair and part of a vertical pair
Answer:
d. < EFA
Step-by-step explanation:
Which ratio is equivalent to 4:5
A. 3: 3.75
B. 7: 8
C. 2: 2.5
D. 14: 27.5
Answer:
c
Step-by-step explanation:
Answer:
C. 2: 2.5
Step-by-step explanation:
Because if you divide both 4 and 5 by 2 you get 2 and 2.5
I hope this helps!!!!
What is an equation that shows a line which has a slope of – 3 and goes through (3,-2).
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = - 3x + 7 ← equation of line
What is the y-intercept of the quadratic function y = x2 + 8x – 6?
(type just the number not the ordered pair)
1
Answer:
-6
Step-by-step explanation:
can you kindly help me out please?!
Answer:
32h^7
Step-by-step explanation:
(4h^4)3=64h^12
64h^12/2h^5=
32h^12/2h^5=32h^7
Hope this helps :)
36 divided by the quantity 5 plus p
Answer:
7.2p
Step-by-step explanation:
Calculator
-3(4x + 5)
Simplify expression
HELP ME ASAP PLEASEEEEE
im marking barinless to the ones who help me
Answer:
Step-by-step explanation:
the right choice are B and C
8=8 for B
24=24 for C
X^2-x-56=0
How do you use the zero product property to solve this?
Answer:
(x - 8) (x + 7)
x = 8 or x = -7
Answer: I don't know lol
an international company has 21,200 employees in one country. if this represents 18.3% of the company's employees, how many employees does it have in it total?
Answer:
115847 employees
Step-by-step explanation:
Solve the x
3x^3 - 5 = 76
Answer:
x = 3
Step-by-step explanation:
Factor using difference of cubes and set each factor equal to 0.
Answer:
x = 3
explanation:
Correct
(A) Find the midpoint of the segment
(B) Find the length of the segment
Answer:
The midpoint is (1, 3) and the length of the segment (let's call it AB) is 6.32
Step-by-step explanation:
Answer:
A) (1, 3)
B) [tex]2\sqrt{10}\\[/tex]
Step-by-step explanation:
A) We are finding the averages of the x and y values. The midpoint formula is as so:
(x1 + x2/2, y1 + y2/2)
(-2+4/2 , 4+2/2)
(2/2 , 6/2)
(1.3)
With distance, the formula is[tex]\sqrt{(x_{1} -x_{2})^{2} + (y_{1} -y_{2})^{2}[/tex]
[tex]\sqrt{(4-(-2))^{2} + (2-4)^{2}[/tex]
[tex]\sqrt{(6)^{2} + (-2)^{2}[/tex]
[tex]\sqrt{36 + 4}[/tex]
[tex]\sqrt{40}[/tex]
[tex]2\sqrt{10}[/tex]
THIS FORMULA OPTION GAVE ME THE HARDEST TIME-
x=-2 or ×=-8 in factored form
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 5 STARS PLEASE HURRY! y= ____ x= ____
Answer:
y = -1/4x - 6
Step-by-step explanation:
Write the equation in the form y = mx + b. First find the slope (m), then find the y-intercept (b). Leave the y and the x as they are.
I gave the slope-intercept form. :) Hope it helps!
graph the function f(x)=(1/3)^x+2-6
Check all like terms to 32xy
Group of answer choices
32x
xy
32x
32y
10xy
Answer:
xy and 10xy
Step-by-step explanation:
The terms are xy, 10xy
What is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given expression:
10xy and xy resembles the terms of the expression 32xy.
Hence, 10xy and xy are the terms.
Learn more about expression here:
https://brainly.com/question/19025589
#SPJ2
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
[tex]x=20; y=50[/tex] or [tex](20, 50)[/tex]
Step-by-step explanation:
Substitution means plugging in one variable's value that consists of the opposite variable. Because [tex]y=3x-10[/tex] is already specified, you can plug it into the second equation's [tex]y[/tex] value. After doing that, it looks like this:
[tex]-4x+2y=20→-4x+2(3x-10)=20[/tex]
Then you would distribute the [tex]3[/tex] across the parentheses next to it, like this:
[tex]-4x+2(3x-10)=20→-4x+6x-20=20[/tex]
Then, add like terms, like this:
[tex]-4x+6x-20=20→2x=40[/tex]
Then divide both side by [tex]2[/tex] to isolate [tex]x[/tex].
[tex]x=20[/tex]
Now, you can plug [tex]20[/tex] ([tex]x[/tex]) into either equation, but the first one seems simpler so you would pick that. It would look like this:
[tex]y=3x-10→y=3(20)-10[/tex]
Solving would look like this:
[tex]y=3(20)-10→y=60-10→y=50[/tex]
So the answer is [tex]x=20; y=50[/tex] or [tex](20, 50)[/tex].
Answer:
the answer is 20, 50
Step-by-step explanation:
please give brainliest