If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.
To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be
Let x be the amount of the red color needed.
Then we have
[tex]\rm \dfrac{x}{35} = \dfrac{6}{5}\\\\\\x \ \ = \dfrac{6 \times 35}{5}\\\\\\x \ \ = 6 \times 7\\\\\\x \ \ = 42 \ spoons[/tex]
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Elliot has a total of 26 books. he has 12 more fiction books than nonfiction books. let x represent the number of fiction books and y represent the number of nonfiction books. which system of linear equations represents the situation? x y = 26 and x y = 12 x y = 26 and x – y = 12 x y = 26 and –x y = 12 x – y = 26 and x y = 12
Answer:
X+Y=26
X-Y=12
Step-by-step explanation:
fiction books= X
non fiction books= Y
then,
fiction books= X
non fiction books = X-12
but Y= X - 12
from. the statement,
X+Y = 26
X-Y=12
What is the volume of the rectangular prism?
PLEASE HELP ASAP
Answer:
7yd^2
Step-by-step explanation:
Calculate for volume as if its 1yd for cube, divide it by a third because each cube is 1/3 of a yard, square it.
Result: 7yd^2
What are the solutions for the following system of equations?
−2x2 + y = 6
4x² + 3y = 28
(0, 6) and (1, 8)
(0, 6) and (-1, 8)
(-1, 4) and (1,4)
(-1, 8) and (1,8)
The solution of the system of equation are (1,8) and (0, 6)
How to find solution of a system of equation?-2x² + y = 6
4x² + 3y = 28
Therefore,
-4x² + 2y = 12
4x² + 3y = 28
5y = 40
y = 40 / 5
y = 8
Therefore,
-2x² + 8 = 6
-2x² = -2
x² = 1
x = 1
2(0)² + y = 6
y = 6
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Answer:
D. (-1, 8) and (1,8)
Step-by-step explanation:
I took the math exam
venti cold brew coffee has approximately
300 mg of caffeine. The average person
eliminates 13% of the
caffeine
every hour. How much caffeine would be in your body after 4 hours?
Please i need help, i have to clean my room before my dad gets home a but first i have to do my homework and he is on his way home!!!
tino works at a retail clothing store as a sales clerk and part of his paycheck is based on commission, meaning that it is determined by the value of the clothes that he sells. each week, he earns $7 an hour plus 15% of his total sales. if tino works for 18 hours and sells $538 in clothes in a certain week, what is the amount of his commission? what is his total pay for that week?
I found the answer for you
GIVING BRAINLIEST!!!!!
The slope of the line through ( -2 , -5 ) and ( -6 , 7 ) is -3
Solution:Correct option is
Slope of the line [tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex]x_1=-2,y_1=-5[/tex] and [tex]x_2=-6,y_2=7[/tex]
∴ [tex]m=\frac{7-(-5)}{(-6)-(-2)}=\frac{12}{-4}=-3[/tex]
Therefore, the slope of the line through ( -2 , -5 ) and ( -6 , 7 ) is -3
The Line plot below shows the lengths of bolts Mr.Slivka found in his drawer He needs 16 bolts that are longer than 1 inch for a projector he is working on. Does he have enough bolts for his project. (Bolt Lengths) 2/8 4/8 6/8 1 whole 1 2/8 1 4/8 (Inches) A. yes there are 16 Bolts that have lengths greater then 1 inch, which is just enoguh. B. Yes. there are 18 Bolts that have lengths greater then 1 inch, which is more than enough. C. No there are only 3 bolts with lengths greater than 1 inch, which is not enough. D. No, there are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Thank you if you answered this u get a good Answer :)
Answer:
the answer is D
Step-by-step explanation:
2. Juliet coaches soccer and softball. She coaches both sports for a total of 18 hours each day. The soccer practice lasts 1.5 hours more than twice times as long as the softball practice.
(a) Write a system of equations to model the situation. Be sure to define your variables.
(b) How many hours each day does Juliet spend coaching each sport?
Show your work. Be sure to label appropriately.
An equation is formed of two equal expressions. Juliet teaches softball for 5.5 hours, while she teaches football for 12.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) Let the amount of time spent on soccer be represented by y, while the amount of time spent on softball is represented by x. Therefore, we can write,
x+y=18
y=2x+1.5
Hence, the system of equations to model the situation is x+y=18 and y=2x+1.5.
B.) Substitute the value of y from the second equation in the first equation, therefore,
x+y=18
x+2x+1.5=18
3x = 16.5
x = 5.5 hours
Substitute the value of x in the second equation, we will get,
y=2x+1.5
y=2(5.5)+1.5
y=11+1.5
y=12.5 hours
Hence, Juliet teaches softball for 5.5 hours, while she teaches football for 12.5 hours.
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Haiiiii i need help with this question pls!! what is the distance between (3,3) and (-5,-2)
tysm!!!
A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.
Round Volume answers to the nearest hundredth.
A) Find the volume of the cylinder. V=
B) Find the volume of the cone. V=
C) What fraction of the cylinder's volume is the cone's volume?
The volume of cylinder is 2352π in³ while the volume of cone is 784π in³. The volume of the cylinder is three times the volume of the cone
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.
Volume of cylinder = π * radius² * height = π * 14² * 12 = 2352π in³
Volume of cone = (1/3) * π * radius² * height = (1/3) * π * 14² * 12 = 784π in³
The volume of the cylinder is three times the volume of the cone.
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A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first?
A) 11/14
B) 1/7
C) 2/13
D) 75/91
Answer:
2/13
Step-by-step explanation:
4/14 × 7/13 when i simplify it becomes 2/13!!!
The probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is 2/13.
What is Probability?Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of getting a blue marble at the first try is,
Probability(Blue) = Number of blue marbles / Total number of marbles
= 4 / 14
The probability of getting a red marble at the second try is,
Probability(Red) = Number of Red marbles / Total number of marbles
= 7 / 13
The probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is,
Probability = Probability(Blue) × Probability(Red)
= (4/14) × (7/13)
= 2/13
Hence, the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is 2/13.
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The printing company wants to minimize costs. What is the objective function? p = 45x 20y p = 25x 45y p = 25x 10y p = 25x 20y
The objective function of the printing company in a bid to minimize cost is; p = 25x + 20y.
What is the objective function of the company?The objective function in a linear programming problem is the real-valued function whose value is to be either minimized or maximized dependent on the constraints defined on the given linear programming problem over the set of feasible solutions. The objective function of a LPP is a linear function of the form z = ax + by in which case, z is the parameter to be optimised.
It therefore follows from the complete question that the objective function is; p = 25x + 20y. This follows from the fact that Supplier X charges $25 per case. Supplier Y charges $20 per case and the parameter to be optimised is price.
Remarks;
The complete question is as follows;
A printing company orders paper from two different suppliers. Supplier X charges $25 per case. Supplier Y charges $20 per case. The company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from Supplier X. The company needs no more than 2 times as many cases from Supplier Y as from Supplier X. Let x = the number of cases from Supplier X and y = the number of cases from Supplier Y.
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Answer:
D
Step-by-step explanation:
right on edge
describe the transformations from the parent function f(x)=x2 to the function g(x)=(x-2)^2+5
A. 2 units down, 5 units to the left
B. 2 units down, 5 units to the right
c. 2 units to the right, 5 units up
D. 2 units to the left, 5 units up
Answer:
C.) 2 units to the right, 5 units up
Step-by-step explanation:
The graph shifts left or right when a number modifies the "x" value before it is affected by any other number/function in the equation. This number is within parentheses with the "x". Subtracting a value moves the function to the right, whereas adding a value moves the function to the left. Therefore, since 2 is being subtracted from "x", the function has been shifted 2 units to the right.
The graph shifts up or down when the y-intercept changes. The y-intercept is the "b" value in a standard function. You can identify this value by plugging in zero to "x". If this number is positive, the function is shifted upwards, and if this number is negative, the function is shifted downwards. Therefore, since there is a 5 added to the equation, the function is shifted 5 units up.
Avery bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 40%. During the second year the value of the stock decreased by 10%.
Answer:
The value of the stock can be found by: x × 1.26.
Step-by-step explanation:
The value of the stock in year one can be found by multiplying x by 1.4. This will represent a 40% increase in value. The following year, the stock decreases in value by 10%; this is represented by multiplication by 0.9. For example, if the value of the stock was $5:
5 × 1.4 = 7 (A 40% increase in value)
(5 × 1.4) * 0.90 = 6.3 (A further 10% decrease in value)
Rather than writing out the long version, we can simplfify by multiplying 1.4 by 0.9 to get 1.26 .We can also replace 5 with x to get a more general equation.
please help me. please solve
Answer:
x = 3
Step-by-step explanation:
7x + 3 = 24 ( subtract 3 from both sides )
7x = 21 ( divide both sides by 7 )
x = 3
How to convert it to an inequality
the probability that the coin shows tails and is the number 2
Answer:
50%
Step-by-step explanation:theres only 2 sides on a coin
Answer: 50% , as likely as not .
Step-by-step explanation:
The probability of a 2 on the die is 1/6. The probability of a heads on the coin is 1/2. That means that (on average) half the time you roll a 2 you'll also get heads and the other half you'll get tails. What's half of 1/6?
The possibilities are:
1H 2H 3H 4H 5H 6H
1T 2T 3T 4T 5T 6T
So, it's 1/12 that you'll get a 2 and heads (on average).
HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
A pack of six pencils costs 5 times as much as a single pencil. A single pencil costs 9 cents. How much does the pack of six pencils cost?
Answer:
im sorry I dont know
What is the volume of a right rectangular prism with a length of 19 centimeters, a width of 3 6 centimeters, and a height of 2.7 centimeters? A. 9.54 cm B. 14.85 cm C. 18.468 cm D. 43.38 cm
Answer:
184.68cm
Step-by-step explanation:
19x3.6=68.4
68.4x2.7=184.68
I think the answer is C. and you accidentally put the dot in the wrong place.
625 x 625 = ? What is the answer?
Answer:
390625 = 625 x 625
Step-by-step explanation:
calculator
What is the volume of the can? SHOW WORK.
Answer:
[tex] V_{can} = 480\: cm^3[/tex]
Step-by-step explanation:
Height of the can (h) = 12 cmArea of top (A) [tex]=40\: cm^2[/tex][tex]V_{can} = Area * Height[/tex][tex]\implies V_{can} = 40 * 12[/tex][tex]\implies V_{can} = 480\: cm^3[/tex]Solve 11x+10y=32..... Will mark the brainliest!
The equation 11x + 10y = 32 is a linear equation, and the solution to the linear equation 11x + 10y = 32 is [tex]y = \frac{32 - 11x}{10}[/tex]
How to solve the equation?The equation is given as:
11x + 10y = 32
Subtract 11x from both sides
10y = 32 - 11x
Divide both sides by 10
[tex]y = \frac{32 - 11x}{10}[/tex]
Hence, the solution to the linear equation 11x + 10y = 32 is [tex]y = \frac{32 - 11x}{10}[/tex]
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What is
5/8
-
2/4
In its simplest form
[tex]\dfrac 58 - \dfrac 24\\\\\\=\dfrac 58 - \dfrac 48\\\\\\=\dfrac{5-4}8\\\\\\=\dfrac 18[/tex]
Help now please !!!!
Answer:
Im sorry if you get this wrong but it should be the opposite like -3, -2 since its going on the other side for the y axis?
Step-by-step explanation:
Find x. Give your answer in the simplest form
Can someone please tell me if this is right!
Answer:
the leading coefficient of a polynomial is the coefficient of the term with the highest degree of the polynomial
so the answer should be the second one -7+6x+5x^2
Mrs. Welloff has just passed away, she has a $1,000,000 life insurance policy and her beneficiaries are her son and 3 grandchildren. She will leave 50% of her estate to her son and the other 50% to her three grandchildren equally. How much money will they each receive?
Son_______________
Grandchild #1_______________ Grandchild #2_______________ Grandchild #3_______________
Answer:
Step-by-step explanation:
1/2 of 1,000,000 is 500,000
the son will get 500,000$
now 500,000 divided by 3(since it's 3 grandkids) is
166666.66, because it's money, and you have to round to the nearest cent.
one will get 166666.67, but it doesn't matter who.
so
grand #1 = 166666.66$
grand #2 = 166666.66$
grand #3 = 166666.67$
-
[3 x 25 – 13 × (-2)] + 23
(-22 + 32) - 3
Give your answer in simplest form.
Enter
What
Answer:
type this in M
a
t
h
w
a
y
Step-by-step explanation:This
will give the answer promise
Answer:
1029
Step-by-step explanation:
124 + 23 x 10 - 3 = 147 7 =1029
raymond wants to know the costs of buying different numbers of songs for his mp3 player the cost of each song is the same let s represent the possible number of songs ramond could buy let d represent the amount of money
The values of s in correspondence with the values of d are as indicated in the answer below.
What are the missing values of s and d?It follows from the complete task content that the missing values in Raymond's table are required.
From the first row, it follows that 2 MP3 songs goes for 2.58.
On this note, the ratio of d to s; d/s = 2.58/2.
Ultimately, the missing values can be evaluated by just substituting d and s into the equation for each case.
Remarks:
Fill in the table for all missing values of s and d.
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PLEASE HELP !!! These box plots show daily low temperatures for a sample of days in two different towns. Which statement is the most appropriate comparison of the spreads? Town A 10 15 20 30 55 Town B 5 20 30 40 55
Answer: 20
Step-by-step explanation:
