Answer:
1
Step-by-step explanation:
To solve for x, we can isolate x on one side of the equation by undoing the operation of the expression inside the parentheses. To do this, we need to subtract 2 from both sides of the equation:
9 = 3(x + 2)
9 = 3x + 6
3 = 3x
Finally, we divide both sides by 3 to obtain:
x = 1
So, the value of x is 1.
Evaluate (11+4) ÷ 3 × √64 =
Answer:
11 + 4 = 15
15/3 = 5
The square root of 64 = 8
5 * 8 = 40
Answer: 40
Step-by-step explanation:
Hope it helps! =D
Answer:
40
Step-by-step explanation:
=(11+4)÷3×√64
=15÷3×8
=5×8
=40
Hence, this is correct!
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
Answer:
1. 9, 4
2. 46, 10
3. 18, 14
4. 10, 14
5. 17, 32
6. 5, 7
7. 3, 70
8. 3, 20, 10
9. 7, 16
10. 7, 5
11. 9, 120
12. 12, 1
Step-by-step explanation:
Definition of coefficient. Your welcome :)
An engineer needs to create a bridge that consists of right triangles for support. Determine whether the triangle shown is a right triangle.
Be sure to include your answer and show/explain the steps you used to solve.
Answer:
See below
Step-by-step explanation:
We can see that the thick line which outlines the main cable, the base and tower form a triangle
The longest length is the main cable which is 15m
If it is indeed a right triangle. the squares of the sums of the two shorter sides must equal the square of the longer side.
Sum of squares of shorter sides(also called legs) = 9² + 12²
= 81 + 144
= 225
Square of the longer side = 15² = 225
Since 15² = 9² + 12²
the triangle shown is indeed a right triangle with hypotenuse = 15m and the legs of the right triangle 9m and 12m
24s+56t what is it?? (i must answer or else i need to go to the next)
Answer:
8(3s + 7t)
Step-by-step explanation:
Factor 8 out of 24s + 56t.
which of the following equations is not a liner equation? A. y = 1/2 x B. y = -3x + 6 C. y2 = 3x + 3 D. x = -2
In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?
Answer: 84 (look at the image for the solution)
Step-by-step explanation:
Break-Even Analysis: Popcorn
The business club is going to sell popcorn at hockey games. Since they are astute business men
and business women, they know that they will not make a profit right away because they have to
pay the cost of buying a popcorn machine. They need to know how many bags of popcorn they
must sell in order to cover the set-up costs. In other words, what is the break-even point for
their popcorn business?
The red and glass popcorn carts often seen at carnivals and fairs costs $450. This is the fixed
cost. Regardless of the number of bags of popcorn they make and sell, the machine cost will not
change.
1. The popcorn, butter, salt, and serving bags cost $15 for every 100 bags of popcorn. What is
the cost per bag for these consumables?
$15 per 100 bags = $.15 per bag
The variable cost changes depending on how many bags of popcorn they make. The more
popcorn they make, the more they spend on popcorn, butter, salt and bags. The variable cost is
$0.15 times the number of bags of popcorn.
The total cost is the variable cost plus the fixed cost.
Total Cost = Variable Cost+Fixed Cost
2. Write an equation for the Total Cost as a function of the number of bags of popcorn made.
Use the notation C(x) for total cost, and let x be the number of bags of popcorn they make.
((x) =115x+450
Each bag of popcorn sells for $1.00. The revenue is the amount of money they receive from
selling bags of popcorn. If they sell 20 bags of popcorn, they will receive $20, since each bag
sells for $1. The revenue they take in is the price per bag of popcorn multiplied by the number of
bags of popcorn sold.
(Price per Item) (Number of Items)
3. Write an equation for the Revenue as a function of the number of bags of popcorn sold. Label
the revenue function R(x).
Revenue =
Answer:
Step-by-step explanation:
here you go hit this link
Answer: Price per Bag * Number of Bags = $1 * x = R(x)
To find the break-even point for the popcorn business, you need to find the number of bags of popcorn that need to be sold in order to cover the total cost, which includes the fixed cost of the machine and the variable cost of the consumables.
Calculate the cost per bag of popcorn for the consumables:
$15 for every 100 bags of popcorn ÷ 100 bags = $0.15 per bag.
Write an equation for the total cost as a function of the number of bags of popcorn made:
Total Cost = Variable Cost + Fixed Cost
Variable Cost = $0.15 * Number of Bags
Total Cost = $0.15 * Number of Bags + $450
Let C(x) represent the total cost where x is the number of bags of popcorn.
C(x) = $0.15 * x + $450
Write an equation for the revenue as a function of the number of bags of popcorn sold:
Revenue = Price per Bag * Number of Bags
Price per Bag = $1
Revenue = $1 * Number of Bags
Let R(x) represent the revenue where x is the number of bags of popcorn.
R(x) = $1 * x
Set the revenue equation equal to the total cost equation and solve for x, the number of bags of popcorn that need to be sold to reach the break-even point:
R(x) = C(x)
$1 * x = $0.15 * x + $450
$0.85 * x = $450
x = $450 ÷ $0.85 = 529 bags
Therefore, the business club needs to sell 529 bags of popcorn in order to reach the break-even point and cover their costs.
Step-by-step explanation:
Please help me.................................
Answer: look at the image for the answer and the solution
Step-by-step explanation:
6 1/4 km: 1 1/4 minutes is the right answer
solve the system of equations using either substitution or elimination
-3x+5y=20
4x+8y=32
Answer:
y=4 x=1
Step-by-step explanation:
(-3x+5y=20)x4
(4x+8y=32)x3
-12x+20y=80
12x+24y=96
-12x+20y=80
+12x+24y=96
---------------------------
44y=176
y=4 x=1
(i) x–3y–3=0
3x–9y–2=0
Comparing these with pair of equations of the form a
1
x+b
1
y+c
1
=0
and a
2
x+b
2
y+c
2
=0,
a
2
a
1
=
3
1
,
b
2
b
1
=
−9
−3
=
3
1
,
c
2
c
1
=
2
3
∵
a
2
a
1
=
b
2
b
1
=
c
2
c
1
, the lines have no solution.
(ii) 2x+y=5
3x+2y=8
a
2
a
1
=
3
2
,
b
2
b
1
=
2
1
,
c
2
c
1
=
8
5
∵
a
2
a
1
=
b
2
b
1
, the lines have unique solution.
(iii) 3x−5y=20
6x−10y=40
a
2
a
1
=
6
3
=
2
1
,
b
2
b
1
=
−10
−5
=
2
1
,
c
2
c
1
=
40
20
=
2
1
∵
a
2
a
1
=
b
2
b
1
=
c
2
c
1
, the lines have infinitely many solution.
(iv) x−3y−7=0;3x−3y−15=0
a
2
a
1
=
3
1
,
b
2
b
1
=
−3
−3
=1,
c
2
c
1
=
15
7
∵
a
2
a
1
=
b
2
b
1
, the lines have unique solution.
27=3m i hate hw sm.. pls helpp
Members of the Key Club held a bake sale to raise
money. Cupcakes and cookies were sold.
Cupcakes were sold for $1 each.
Cookies were sold for $0.50 each.
The members sold a total of 288 items.
Of the items sold, 2/3 were cupcakes and the
remaining were cookies.
How much money did the Key Club members raise from
the cookies that were sold?
Answer:
The answer here is 240!
Determine whether each relation is a function. If so, provide the domain and range.
Width (m) Area (m2)
1 6
5 10
10 150
11 176
14 266
Function? (Yes or No) ________________
If it is a Function what is the:
Domain = _____________
Range = _______________
Hours worked vs. Salary
Hours Worked
Salary
0 0
10 $300
20 $600
30 $900
40 $1200
Function? (Yes or No) ________________
If it is a Function what is the:
Domain = _____________
Range = _______________
Height vs. Age
Height (cm)
Age (years)
160 20
160 25
160 30
160 35
160 40
160 45
160 50
Function? (Yes or No) ________________
If it is a Function what is the:
Domain = _____________
Range = _______________
Answer:
Step-by-step explanation:
dont now
-5 = ___ + 6
what is the blank pls help :))))
Answer:
-11
Step-by-step explanation:
6 + -11 is like 6 - 11
6 - 11 = -5
The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft tall. How far from the front of the house is the support post positioned?
The distance between the front and the back of the house is 25 ft
Answer:
21ft
Step-by-step explanation:
We are given that the support post is 10 ft tall.
Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.
By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
So, by the previous Theorem, we get:
We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is ft.
1. simplify (2x) x 5
2. simplify (0 + c) + 12
Chau runs each lap in 7 minutes. He will run at most 8 laps today. What are the possible numbers of minutes he will run today?
Use T for the number of minutes he will run today.
Write your answer as an inequality solved for T.
help me pls thank you :(
Answer: Function
Step-by-step explanation:
I know bc im a teacher
What is the circumference of the circle in terms of π?
circle with a segment drawn from one point on the circle through the center to another point on the circle labeled 6 yards
36π yards
18.84π yards
6π yards
3π yards
Answer:
Therefore, the circumference of the circle is 6π yards.
Step-by-step explanation:
The circumference of a circle can be calculated using the formula C = 2 * π * r, where r is the radius of the circle.
In this case, we have a segment drawn from one point on the circle through the center to another point on the circle labeled 6 yards, which is equal to the diameter of the circle. So, the radius of the circle is 6 yards / 2 = 3 yards.
Plugging this into the formula, we have:
C = 2 * π * 3 = 6 * π
Therefore, the circumference of the circle is 6π yards.
help me pls thanks <)
Answer: The answer is 25
Step-by-step explanation:
What is the solution to this inequality?
8.6≤x−5 4/5
A)x≤2.8
B)x≤14.4
C)x≥14.4
D)x≥2.8
Step-by-step explanation:
Sorry but here is my answer and my solution for my answer.
The price of fuel may increase due to demand and decrease due to overproduction. Emily is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.96(1.04)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months.
m (number of months) 1 2 3 4
g(m) (price in dollars) 3.04 3.22 3.41 3.61
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.
Answer: look at the image for the answer and solution
Step-by-step explanation:
The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per cent refers to one hundred percent.
Part A: From the coefficient of the term (1.04)^x in the function f(x) = 2.96(1.04)^x it can be seen that the price of fuel is increasing by 4% per month. 1.04, represents the increase in price each month and exponent, x represents the number of months. The coefficient of 2.96 represents the starting price.
And hence, the price of fuel A is increasing by 4% per month
Part B: To determine the percentage change in price between each month, we need to calculate the percentage increase or decrease from the previous month's price.
For fuel A, the percentage change in price each month is given by:
100 * (1.04 - 1) = 4%
For fuel B, we can calculate the percentage change in price for each month from the table:
Percentage change:
Between months 1 and 2: 100 * (3.22 - 3.04) / 3.04 = 6.58%
Between months 2 and 3: 100 * (3.41 - 3.22) / 3.22 = 5.19%
Between months 3 and 4: 100 * (3.61 - 3.41) / 3.41 = 6.50%
Therefore, the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
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I WILL GIVE BRAINLIEST IF EVERYTHING IS ANSWERED AND IT'S CORRECT!
A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer parts a and b.
a. To what percent of its capacity is the large container filled?
The container is filled to 87.5% of the maximum capacity.
b. Some liquid will be poured from a full 16-ounce container until it is filled to the same percent of its capacity as the large container in part a. How many ounces of liquid must be poured from the full 16-ounce container? Explain.
Note: The answers go in the blanks
When the 16-ounce container is _____% filled, it will contain _____ ounce(s). So _____ ounce(s) will need to be poured from the full 16-ounce container.
Answer:
(a) 87.5%
(b) 90%, 14.4 oz, 1.6 oz
Step-by-step explanation:
You want the fraction full a 64 oz container is if it holds 8 oz less than its capacity. You also want to know the amount that must be transferred from a 16 oz container if both containers are to be the same fraction full.
a) FractionThe amount in the 64-ounce container is ...
64 oz - 8 oz = 56 oz
The fraction of its capacity this represents is ...
(56 oz)/(64 oz) = 7/8 = 87.5%
The container is filled to 87.5% of its capacity.
b) TransferIf x is removed from a 16-ounce container and added to the 64-ounce container, their respective fill fractions are ...
(16 -x)/16 and (56 +x)/64
We want these values to be equal, so ...
(16 -x)/16 = (56 +x)/64
4(16 -x) = 56 +x . . . . . . . . . multiply by 64
64 -4x = 56 +x . . . . . . . . . eliminate parentheses
8 = 5x . . . . . . . . . . . . . . . . add 4x-56
x = 8/5 = 1.6 . . . . . . . . . . . divide by 5
When 1.6 ounces are removed from the 16-ounce container, its fill fraction will be ...
(16 -1.6)/16 = 1 - 0.1 = 0.90 = 90%
The 16-ounce container will be 90% filled, and will contain 14.4 ounces.
So, 1.6 ounces will need to be poured from the full 16 ounce container.
__
Additional comment
After receiving 1.6 ounces, the larger container will have 57.6 ounces. Its fraction full will be 57.6/64 = 90%, as required.
<95141404393>
Blank 1 - 87.5%
Blank 2 - 90%
Blank 3 - 14.4 oz
Blank 4 - 1.6 oz
help me pls thank you !
Answer:
21
Step-by-step explanation:
We need to use the formula of area of a triangle to solve this. The formula is (1/2) * base * height. Here, the base is the distance from the line x = -4 to (2, 2), so the base is 6 units. The height is the difference from (-4, 4) and (-4, -3), which is 7 units. Thus, the area is (1/2) * 6 * 7 = 21 square units
Help me with this cube surface area.
Step-by-step explanation:
[tex]a = 6 {x}^{2} [/tex]
Since the figure shows 1/3
[tex]a = (6) { \frac{1}{3} }^{2} [/tex]
Squaring fractions is pretty much squaring the numerator and denominator. 1 squared is 1. 3 squared is 9, so....
[tex]a = (6) \frac{1}{9} [/tex]
[tex]a = \frac{2}{3} [/tex]
Answer: 8 square foot
Step-by-step explanation:
[tex]A = 6a^{2},[/tex]
Convert: 1 ft = 12 in
Divide: 12in / 3 = 4 in
1 / 3 ft = 4 in
L X W = 4in X 4in = area on one side 16 in
Surface Area = 16in x 6 sides = 96 sq in
Convert to Sq Inches to Sq Foot
96 / 12 = 8 square foot
Laura wants to estimate the sum 0.26 + 0.9. Should her estimate be more or less than 1? Explain how you can tell without using a calculator.
Answer:
Step-by-step explanation:
more.
The sum of 0.26 + 0.9 0.26+0.9 0.26+0.9 is more than 1. As we know when 0.9 is added with anything more than 0.1 we will get the result more than 1. So in this case 0.9 is added with 0.26 which is more than 1.
please help, must be turned in by tuesday.
Answer:
Number A will be 0.5*3.5*4
Number B will be 0.5*3*4
Number C will be x*3
Number D will be x+ the value of 0.5*3.5*4
Here, x stands for the answer of the question/equation
Hope this helped!
Mathamatics 20 Points!
Answer:
Step-by-step explanation:
so you spilt the shape in half.
cut out the top of the T. letssolve the top part.
10 times 2 times 5.
(equals 100)
and then lets solve the little rectangle at the bottom. 2 times 3 times 2 is 12.
(dont forget to add!)
100+12 is 112.
the answer is the 3rd from the top.
hope this helps.
50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
The sum the age of a boy and his sister is 32 years. If the boy is 6 years older than his sister, how old is his sister?
TYVM!! :)
Answer:
The sister is 13 years old.
Step-by-step explanation:
Let the boy's age = b.
Let the sister's age = s.
b + s = 32
b = s + 6
s + 6 + s = 32
b = s + 6
2s + 6 = 32
b = s + 6
2s = 26
b = s + 6
s = 13
b = 13 + 6
s = 13
b = 19
Answer: The sister is 13 years old.
Use the information provided to answer Parts A and B below. The owner of a technology store is offering a discount on Android tablets sold in the store.
Part A: The owner offers a payment plan where the total cost of the tablet is paid in 5 equal monthly payments. Determine the amount of each monthly payment. Show your work or explain your answer.
Part B: At the same store, a certain brand of laptop is advertised as 20% off of the original price. After the discount, the tax is $47.04.
Question 1: Determine the total price of this laptop after the discount and tax are applied. Show your work or explain your answer.
Question 2: Determine the original price of this laptop. Show your work or explain your answer.
Answer:
Step-by-step explanation:
jbariupbwaurcibrievb
When rolling a 6-sided die twice, determine P(sum of 4).
A. 3/36
B. 5/36
C. 6/36
D. 2/6
the probability of rolling a sum of 4 when rolling a 6-sided die twice is,
⇒ 3 / 36.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now, To determine the probability of rolling a sum of 4 when rolling a 6-sided die twice, we need to first find all the possible outcomes when rolling a die twice.
Since, There are 6 possible outcomes when rolling a single die:
1, 2, 3, 4, 5, or 6.
Now, When rolling two dice, we can combine each of these outcomes with every other outcome.
Hence, This gives us a total of 6 x 6 = 36 possible outcomes when rolling two dice.
Thus, To find the number of outcomes that add up to 4, we can list them out:
1 + 3
2 + 2
3 + 1
So, there are three possible outcomes that add up to 4.
Hence, To find the probability of rolling a sum of 4, we need to divide the number of outcomes that add up to 4 by the total number of possible outcomes:
⇒ P(sum of 4) = 3/36
Therefore, the probability of rolling a sum of 4 when rolling a 6-sided die twice is 3 / 36.
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