Answer:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
Step-by-step explanation:
Represent white paint with w and black with b
Given
When w = 3; b = 1
Required
Determine the two equations
To get a gray paint, the w and b are needed in the following proportion:
[tex]3 * w = 1 * b[/tex] -----(1)
Solve for b
[tex]3 * w = b[/tex]
Reorder
[tex]b = 3 * w[/tex]
[tex]b = 3w[/tex] ---- This is an equation
To get another equation,
Recall that
[tex]3 * w = 1 * b[/tex]
Solve for w
[tex]3*w = b[/tex]
[tex]3w = b[/tex]
Make w the subject
[tex]w = \frac{1}{3}b[/tex]
Hence, the equations that show the relationship between w and b are:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
400 milligrams
480 milligrams
550 milligrams
600 milligrams
Answer:
138/92*320 = 480 milligrams. ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds. 2.
Step-by-step explanation:
I hope I help :)
How do you change 2.3 - 3.94 into an addition problem?
Answer:
2.3+ (-3.94)
Step-by-step explanation:
Answer:
Solve it then add the answer and one of the parts of the original.
Step-by-step explanation:
Ex.
Original: 2.3 - 3.94
2.3 - 3.94 = -1.64
New addition: -1.64 + 3.94 = 2.3
Liya has one 30-ounce jar of pink paint.The ratio of white paint in the jar is 3:7, Liya doesn't like the shade pink so she moves the paint into a 128-ounce container and adds more white and red paint to fill the container.If the new ratio of white paint to red is 3;5 how many more ounces of white paint does she add to make the new shade of pink paint?
Answer: 8
Step-by-step explanation:
8x0
The required amount of ounces of white paint added is 35.15 ounces.
Given that,
Liya has one 30-ounce jar of pink paint. The ratio of white paint in the jar is 3:7, Liya doesn't like the shade pink so she moves the paint into a 128-ounce container and adds more white and red paint to fill the container. If the new ratio of white paint to red is 3:5.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Ounces of white paint in a 30-ounce jar,
= 30 × 3 / 7 = 12.85,
Ounces of white paint in 128-ounce of the jar,
= 128 × 3 / 8 = 48
The number of ounces of white paint added = 48 - 12.85 = 35.15
Thus, the required amount of ounces of white paint added is 35.15 ounces.
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Solve the inequality. 4x – 7 < 5
Answer:
x < 3
Step-by-step explanation:
4x - 7 <5
4x < 12
x < 3
Answer:
x < 3
Step-by-step explanation:
4x < 12
x < 3
I hope you get this right
Student council is voting which elective classes should be offered at the middle school. the choices are Band, Art, and Spanish. Art received twice as many votes as Band. Spanish received 20 more votes than Art. 190 students voted total.
Answer:
34 people voted for band 68 people voted for art and 88 people voted for Spanish this help
Step-by-step explanation:
Q 1: You are making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much baking soda is needed for 1 teaspoon of salt?
Q 2:Use the information contained within the question one. How much salt is needed for 1 teaspoon of baking soda?
Answer:
x = teaspoon of soda needed = 2 teaspoons of baking soda for 1 teaspoon of salt
y = teaspoons of baking soda needed = 1/2 teaspoons of salt needed for 1 teaspoon of baking soda
Step-by-step explanation:
Teaspoon of salt : Teaspoon of soda
1/8 : 1/4
How much baking soda is needed for 1 teaspoon of salt?
Let
x = teaspoon of soda needed
Teaspoon of salt : Teaspoon of soda
1 : x
Equate both proportion
Teaspoon of salt : Teaspoon of soda
1/8 : 1/4 = 1 : x
1/8 ÷ 1/4 = 1/x
1/8 × 4/1 = 1/x
4/8 = 1/x
Cross product
4*x = 8*1
4x = 8
x = 8/4
= 2
x = 2 teaspoons of
x = teaspoon of soda needed = 2 teaspoons for 1 teaspoon of salt
2. How much salt is needed for 1 teaspoon of baking soda?
Let y = teaspoons of baking soda needed
Teaspoon of salt : Teaspoon of soda = y : 1
Equate the proportion
1/8 : 1/4 = y : 1
1/8 ÷ 1/4 = y / 1
1/8 × 4/1 = y / 1
4/8 = y / 1
Cross product
4 * 1 = 8 * y
4 = 8y
y = 4/8
= 1/2
y = 1/2 teaspoons of baking soda
y = teaspoons of baking soda needed = 1/2 teaspoons needed for 1 teaspoon of baking soda
What are the x- and y-intercepts of the graph of y = x2 + x - 6? (1 point)
O x-intercepts: (3, 0) and (2,0)
y-intercept: (0,6)
O x-intercepts: (3.0) and (-2,0)
y-intercept: (
0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0.6)
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°. Write and solve an
equation to find the measure of the other remote interior angle.
Enter the correct answers in the boxes.
Equation:
X=
Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The exterior angle is equal to the sum of the interior angles in a given triangle.
The measure of the other remote interior angle is 60°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Let the measure of the other interior angle = M
The exterior angle is equal to the sum of the interior angles in a given triangle.
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.
This means,
M + 20 = 80
Solve for M.
M + 20 = 80
Subtract 20 on both sides.
M = 80 - 20
M = 60
Thus,
The measure of the other remote interior angle is 60°.
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What quadrant does -495 lie in?
find the ordered pair for the solution -7x+3y=2
Answer:
(1, 3 )
Step-by-step explanation:
To find a solution choose a value for x, substitute into the equation and solve for y.
let x = 1 , then
- 7(1) + 3y = 2 , that is
- 7 + 3y = 2 ( add 7 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
One possible solution is therefore (1, 3 )
Answer:
Step-by-step explanation:
1 3
i need help w this pls asap
Answer:
x=125, y=125
Step-by-step explanation:
180-55=125
x and y are alternate angles
Answer:
x=125
y= 125
Step-by-step explanation:
x + 55 = 180
y = x
alternate interior angles are equal
YOU GET 55 POINTS, A THANKS, AND A BRAINLIEST!!!!!
Enter an equation in point-slope form for the line.
(-4,4) and (4,-4) is on the line.
The equation of the line in point slope form is:
Answer:
-4-4= -x(4-4) or y= -x+8
Step-by-step explanation:
I hope this is what you needed!
HELP PLS BRAINLIEST FOR CORRECT ANSWER
Answer:
83
Step-by-step explanation:
Answer:
x = 59
y = 83
Step-by-step explanation:
First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.
Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.
Using the Triangle Sum Theorem again, you will find that x is 59.
Which statements are true for the functions g(x) = x2 and h(x) = –x2 ?
Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) h(x).
For negative values of x, g(x) > h(x).
WILL MARK BRAINLEST
Answer:
g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Part A
Sophia bought 9 red peppers for $5.40.
PLEASE HELP
Find the unit rate. Then use the unit rate to write an equation relating the cost in dollars c to the number of red peppers p.
Answer:
$0.60/each
Step-by-step explanation:
$5.40/9=0.60 Total price *($5.60) divided by 9 (PEPPERS) = $0.60
c= 0.6p
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Cost of 9 red peppers = $5.40
Cost of 1 red pepper = 5.40 /9
= 0.6
Now, the equation to represent cost in dollars c to the number of red peppers p,
c= 0.6p
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Find the product of 2r^2(6r^3+14r^2-30r+14)
Answer:
12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²
Step-by-step explanation:
a(b ± c) = ab ± ac (distributive property)
[tex]a^{m} * a^{n} = a^{m+n}[/tex]
2r²(6r³ + 14r² - 30r + 14) = 12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²
Answer: 2r2(6r3+14r2−30r+14)
Step-by-step explanation:
Apply the distributive property
2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14
Simplify
2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2
Simplify each term
12r5+28r4−60r3+28r2
True or false, there is a decimal point on every whole number. We just don’t usually write it.
Help LOL I have a quiz I would appreciate it
Answer:
True
Step-by-step explanation:
for example: 5 could also be written as 5.00
Answer:
I think that’s false it should be
Step-by-step explanation:
If not don’t report me plz
does anyone know how to do this
Food bill before tax $45 sales tax 6.8% tip 24%
Answer:
The total bill is $58.86
Step-by-step explanation:
Percentages
Before tax, the food bill is $45. Sales tax is 6.8% and the tip is 24%.
Tax is 6.8*$45/100 = $3.06
Tip is 24*$45/100 = $10.80
Total additional charges are:
$3.06+ $10.80= $13.86
Thus, the total bill for the food is:
$45 + $13.86 = $58.86
The total bill is $58.86
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
Can anybody tel me what K equals plz I got to go to bed
Answer:
K is equal to 4
Step-by-step explanation:
. hope it helped
Someone please answer the questions and help me:(
Answer:
-3,-5,-4,-1,1-1,1-1,,3,3-,-3,-4,5-,-8,9--,5,3
Step-by-step explanation:
what is the slope of the line passing through the points (-3,4) and (2, -1)
Answer:
slople = -1
Step-by-step explanation:
(x₁ , y₁) = (-3, 4) & (x₂ , y₂) = (2 , -1)
[tex]slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{-1-4}{2-[-3]}\\\\\\=\frac{-1-4}{2+3}\\\\\\=\frac{-5}{5}\\\\= -1[/tex]
While solving an equation, if the variable term becomes zero, and the equation make a false statement, then the solution is
A: infinite solutions
B: one solution
C. no solution
Answer:
0.1%
Step-by-step explanation:
0.1%
Answer:
No solution.
Step-by-step explanation:
Then the equation has no solution.
For example
2x - 2 = 2x + 1
-2x - 2x
-2 = 1.
___________________________________________
Brainliest?
what are the Coefficients in 4e + 7e + 5
Answer:
4 and 7
Step-by-step explanation:
Coefficients are just bassically the numbers behind the variable, hope this helps!
One number is nine more than another number.if the sum of the number is 65 ,find both numbers
Answer:
The first number is 28 the number nine more is 37
Hope this helped!
Help is needed plssss
These questions down below are a bit confusing for me, if someone would help me with them I would be absolutely grateful thank you so much
True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
Answer:
true
Step-by-step explanation:
FASTEST RIGHT ANSWER BRAINLIEST!!!
Answer:c
Step-by-step explanation:
Brainlist
Answer:
quadrant 4
Step-by-step explanation:
6, -8 is in quadrant 4