Answer:
Step-by-step explanation:
In order for Forest to decide how many cans of paint to buy he first needs to know how many square feet make up the wall that he wants to paint. He can calculate this by multiplying the length of the wall by the height of the wall. That will give him the square footage of the wall which can be represented as x in the following formula. Now that he has that, he needs to divide this value by 150 which is what each can of paint covers. The answer will be the number of cans that Forest should buy.
x / 150 = number of cans
The numbers of cans of paint he should buy can be calculated as follows :
x / 150.
where
x = Area of the wall needed to be painted in square feet.
Forest needs to paint the right side of his house because of sunlight and
rain.
According to his analysis each can of paint will cover an area of 150 ft².
This simply means for every 150 square feet of his wall, he will require 1
can of paint.
The number of paint he should buy can be determined as follows:
let
x = area of the right side of his wall needed to be painted
The number of can required = x / 150
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A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.
Answer:
3:7
Step-by-step explanation:
The number of rabbits is 12 while the total number of animals
7 + 12 + 6 + 3 = 28
So the ratio of rabbits to animals is 12:28 = 3:7
In triangle ABC, the sum of the measures of angle A and angle B is 120. The sum of the measures of angle B and C is 110. Find the measure of the greatest angle of the triangle.
Answer:
70
Step-by-step explanation:
the sum of the three is 180, so c is 60, a is 70, and b is 50.
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
help please I'll mark brainiest xx
Josh and his family are taking a family vacation. They travel 340 miles in 5 hours before stopping at a rest stop.
How far did the family get in 3 1/2 hours?
Answer:
238 miles
Step-by-step explanation:
340 miles = 5 hours
So get 1 hour by dividing by 5 on both sides
5/5 = 1 hr
340/5 = 68
So in 1 hour they travel 68 miles
You want to find 3 1/2 hours
Do 68 x 3 to get 3 hours
So it would be 68 x 3 =204
Plus the half an hour - which you get by doing 68/2 = 34
68 = 1 hour, so half of that must be half an hour
So to get the final distance you do 204 (3 hours) +34 (half an hour)
204 + 34 =238
A baker made 20 muffins for a cafe. By noon, 15% of the muffins were sold. How many muffins were sold by noon?
Answer:
15% of 20 is 3, so 3 muffins were sold.
Step-by-step explanation:
To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)
Answer:3
Step-by-step explanation:
0.15x20=3
0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.
Pleaseeee help meeeee
Answer:
x=-8
Step-by-step explanation:
1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)
so
4x+1=-31
a) 4x+1-1=-31-1
4x=-32
b) remove the coefficient by doing the opposite operation(division in our case)
x=-8
Here are sketches of four triangles in each triangle the longest side is exactly 1cm the other length is given to 2 decimal places work out the value of x give your answer to 1 decimal place 4 cm 57°
If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.
Then the value of x will be
The value of x will be given by the sine rule.
sin θ = x/h
WE have
θ = 57°
h = 4 cm
Then we have
sin 57° = x/4
x = 3.3546
x ≅ 3.36
More about the right-angle triangle link is given below.
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A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
A volleyball camp charges $150 per camper for 10 campers. When a team brings 15 campers, the rate is reduced to $125 per camper.
What is the rate of change in cost per camper?
Answer:
the answer is eight dollars and thirty four cents $8.34
410 is what percent of 65?
Answer:
15.85%
Step-by-step explanation:
you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.
NEED HELP ASAP GIVING BRAINLEST:
Write a real world situation that could be represented using the following equation:
x - 100 = 40
Answer: if Lisa has ? sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with
9 = - 5b - 23 write your answer as a decimal
9=-5b-23
9+23=-5b
32=-5b
32/-5=b. ..(here 32/-5= 32 upon -5)
-6.4=b
The required simplified value of b for the given expression is b = -2.8.
GIven that,
To determine the simplified value of b for the expression 9 = - 5b - 23.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the given expression,
9 = - 5b - 23
Simplifying,
-5b = 23 - 9
-5b = 14
b = -14 / 5
b = -2.8
Thus, the required simplified value of b for the given expression is b = -2.8.
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Expand
(3a – 5b)(2a +36)
Answer:
6a^2+108a-10ab-180b
Step-by-step explanation:
what does 7 = 4 – 3x
Answer:
Can I be marked brainliest?
x = -1
Step-by-step explanation:
Switch it around
4 - 3x = 7
-3x + 4 = 7
Subtract 4 from both sides of the equation
-3x + 4-4 = 7-4
Simplify
-3x = 3
Divide both sides of the equation by the same term
-3x/-3 = 3/-3
x = -1
Answer:
-1
Step-by-step explanation:
7=4-3x Add like terms
-4 -4
3=-3x Now divide
/3 /3
x=-1
Grapes are priced at $2.25 per pound. Which of the following equations best represents the cost, c, of buying g, pounds of grapes?
A. c=2.25g
B. c=g+2.25
C. g=c+2.25
D.g=2.25c
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=70°, and OM = 3.3 feet. Find the length of MN to the nearest tenth of a foot.
Answer:
Side MN = 3.5
Step-by-step explanation:
Side NO = 1.2011
Side OM = 3.3
Side MN = 3.51179
Angle ∠M = 20° = 0.34907 rad = π/9
Angle ∠N = 70° = 1.22173 rad = 7/18π
Angle ∠O = 90° = 1.5708 rad = π/2
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Which clock shows 2:08?
12
12
11
10
-10
2
-9
-9
-8
,8
4
7
6
5
6
12
11
11 12
1
-10
-10
3-
-9
8
-9
4
8
3-
4.
5
6
5
1
6
Answer:
first one
Step-by-step explanation:
For what value of k is the expression x^4 + kx^2 + 49 a perfect square?
Answer:
[tex]k=14[/tex]
Step-by-step explanation:
Completing the square gives
[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]
So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Answer:
k=± 14
Step-by-step explanation:
[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]
solve the following simultaneous equations using an algebraic method.
5x + 3y = 11
2x - 7y = 29
will be grateful!
please help omg ♀️ !!
Answer:
first blank: 50-10=40
second blank: 50-20=30
third blank: 50-25=25
Step-by-step explanation:
hope this helps!
Answer:
Step-by-step explanation:
40 30 25
10 20 25
40 30 25
$2,400 with a sales tax of 8%
How much is the total cost for the TV?
Select the correct answer.
Answer:
a
Step-by-step explanation:
i did this test and question beforer si know what it iso
How do I solve these two complex fraction problems 7/x + 3/2 / 5/x and x+3/3x / x^2-9/6x-9?
Answer:
x
=
0, 1/3
x=x^3-x/2-9
Step-by-step explanation:
Solve the following equation: 2x – 4 = 4x +8. Make sure to not only solve the problem, but to list out the steps using academic vocabulary.
A certain brand of shampoo contains 12 ounces in a bottle. The company
decides to redesign the shape of the shampoo bottle. The new type of
bottle contains 15 ounces of shampoo. What is the percent of increase in
the amount of shampoo the new bottle contains?
Answer: 15% I think
Step-by-step explanation:
The percent of increase in the amount of shampoo the new bottle contains is 25%.
Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.
What is the percentage of increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.
Percentage increase = (Final value - Initial value) / Initial value × 100
Now, initial value = 12 and final value = 15
Percentage increase = (15-12)/12 × 100
= 3/12 × 100
= 1/4 × 100
=25%
Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.
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solve each equation below showing every step checking your solution is optional
Answer:
x=4
Step-by-step explanation:
Answer:
for question d, 58.3 repeated
Step-by-step explanation:
cross multiply 3x=175
175/3= 58.3 repeated or 58 and one third.
What inverse operation should be used to isolate the variable in the equation
k - 9 = 10?
Answer:
k-9=10
k=10+9
k=19
take care of yourself
have a nice day
please help! it would be much appreciated
Answer:
20
Step-by-step explanation:
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?