Answer:
f(5) = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function notation and substitutionStep-by-step explanation:
Step 1: Define
f(x) = x² - 12
x = 5
Step 2: Evaluate
Substitute: f(5) = 5² - 12Exponents: f(5) = 25 - 12Subtract: f(5) = 13Answer:
13
Step-by-step explanation:
replace the x with 5.
5^2-12=
25-12=13
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
Fill in the blanks with the correct values.
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
This question can be solved by using proportions. The question has already given a proportion you need to fill in, which looks like this:
[tex]\displaystyle \frac{A}{B} =\frac{x}{1000}[/tex]
As you can see, the denominators are B and 1000, which represents the number of words. That means the number of words will go on the bottom, which leaves you with the number of minutes as the numerator.
Donald can type 240 words in 6 minutes. The number of words, 240, is the denominator, and the number of minutes, 6, is the numerator.
Substitute A and B with these values:
[tex]\displaystyle \frac{A}{B} =\frac{x}{1000} \rightarrow \frac{6}{240} =\frac{x}{1000}[/tex]
Now you need to cross multiply.
[tex]1000 \times 6=240 \times x[/tex]
Simplify:
[tex]6000=240x[/tex]
Lastly, you need to divide both sides by 240 to find the value of x alone. This is because 240 is being multiplied by x, and in order to leave x alone, you must do the opposite of it, which is dividing.
[tex]\displaystyle \frac{6000}{240} =\frac{240x}{240}[/tex]
[tex]\displaystyle x=25[/tex]
That means Donald can type 1000 words in 25 minutes. A is also equal to 6, and b is equal to 240.
__________________________________________________________
[tex]\displaystyle {\bf\frac{6}{240} =\frac{x}{1000}[/tex]
Solving this proportion indicates Donald could type his essay in 25 minutes.
__________________________________________________________
Paul’s grandmother gave him a collection of 30 coins. Each month Paul adds 5 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paul will have more than 60 coins in his collection?
A. 30 + 5 = 60
B. 30 + 5x > 60
C. 60 + x > 30
Answer:
B
Step-by-step explanation:
He starts out with 30 He adds 5 coins each monthx represents the number of months>60 means greater than 60
So the inequality would be 30 + 5x > 60
What is the slope of the line that passes through the points (-8,-3)and(-12,-3) write your answer in the simplest form
Answer:
[tex]m=0[/tex]
Step-by-step explanation:
Given the points
(-8,-3)and(-12,-3)
The slope between the points (-8,-3) and (-12,-3) can be determined
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-8,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-12,\:-3\right)[/tex]
[tex]m=\frac{-3-\left(-3\right)}{-12-\left(-8\right)}[/tex]
[tex]m=0[/tex]
Evaluate the expression 7(x + 3) - x , when x =2 .
I’m pretty sure literally nobody understands this and nor do I
Answer:
33
Step-by-step explanation:
This is very simple.First we have to subsite the value 2 into 7(x + 3) - x.Like this:
7(2 + 3) - 2
Then we have to simplify.Like this:
7(5) - 2
35 - 2
33
Hope it helped!
Answer:
The answer is 33.
Step-by-step explanation:
(:
I will give brainliest!!!!
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
A) 12 + 24R ≤ 100
B) 12 + 24R ≥ 100
C) 24 + 12R ≤ 100
D) 24 + 12R ≥ 100
2) What is the least amount of additional money Sofia can spend to get the sushi they need?
dollars
Answer:
The answer is given below <3
Step-by-step explanation:
The options are not given but I would list the inequalities needed to solve this problem.
As a result of increase in people to attend meeting, the number of sushi needed to be ordered is 100 pieces. Sofia has already ordered 24 pieces. If R is the number of additional rolls that Sofia orders.
The number of additional rolls that Sofia orders (R) must be greater than or equal to the difference between the number of Sushi needed to be ordered and the number of Sushi that has already being ordered. It is given by the inequality:
R ≥ 100 - 24
R ≥ 76
If each roll contains 12 pieces, the number of rolls needed (n) is given by:
n ≥ R/12
n ≥ 76/12
n ≥ 6.33
n ≥ 7
If each roll cost $8, the money needed to buy the sushi is given as:
Cost ≥ 8(7) ≥ $56
The morning Shift at the point grocery store is 6.5 hours long. If the cashiers make $10.25 Per hour, how much do they make each shift?
Answer:
$66.62
Step-by-step explanation:
10.25 x 6.5 = 66.625
In the diagram of AADC below, EB|| DC, ED=60, AB=12, and BC=72. What is the
length of AD?
A
12
E
B
60
72
D
С
Answer:
The length of AD is 70
Step-by-step explanation:
From the given figure
→ In triangle ADC
∵ EB // to DC
→ That means EB divides the sides AD and AC into parts proportional
∴ E divides AD into AE and ED
∴ B divides AC into AB and BC
∴ [tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex]
∵ ED = 60
∵ AB = 12
∵ BC = 72
→ Substitute them in the ratio above
∴ [tex]\frac{AE}{60}[/tex] = [tex]\frac{12}{72}[/tex]
→ By using cross multiplication
∵ AE × 72 = 12 × 60
∴ 72 AE = 720
→ Divide both sides by 72
∴ AE = 10
∵ AD = AE + ED
∴ AD = 10 + 60
∴ AD = 70
∴ The length of AD is 70
Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below: Music Collection Survey Name Number of Pop Albums Total Number of Albums in the collection Michelle 33 60 Sasha 36 78 Kat 40 89 Monica 24 59 Based on the survey, which friend had the greatest percentage of pop albums?
Answer:
Michelle
Step-by-step explanation:
Given the data:
S Name No of Pop Albums Total No of Albums Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59
Percentage of pop Albums:
(Number of pop album / total number of albums) * 100%
Michelle :
(33 /60) * 100% = 55%
Shasha:
(36 /78) * 100% = 46.15%
Kat:
(40 / 89) * 100% = 44.94%
Monica :
(24 / 59) * 100% = 40.67%
Hence, Michelle has the greatest percentage of pop Albums
What is the relationship between the ratios?
4872and 69
Find the value of 64(-2/3)
For a recipe Peter uses 2 cups of sugar for every 3 cups of flour.wich table shows equivalent ratios for this recipe?
Answer:
4 to 6
Step-by-step explanation:
if you do 2 times 2 which is 4 then you do 3 times which is 6 then you get your answer
Camila and Evelyn work at a dry cleaners ironing shirts.Camila can iron 40 shirts per hour, and Evelyn can iron 20 shirts per hour.How many total shirts would be ironed between the two workers
Answer: 60 shirts.
Step-by-step explanation: Camila: 40/hr Evelyn: 20/hr
20 + 40 = 60
Anyone know how to solve this !!
Answer:
It's 60
Step-by-step explanation:
All triangles angles have to add up to 180 degrees. 60 plus 60 plus 60 is `80.
Answer:
C. 120°
Step-by-step explanation:
Just by looking at it, you can see that it is over 90° which automatically makes it not 60° and your only option left is 120°
can someone please help? what’s the measurement of x?
Chris found a jacket regularly priced at $90, on sale for 20% off. If there is an 8% sales tax, how much did Chris pay?
(GIVING BRAINLY)
Answer:
$77.76
Step-by-step explanation:
90 x .2 = 18 (20% off)
90 - 18 = 72 (sale price)
72 x .08 = 5.76 (tax price)
72 + 5.76 = 77.76 (total)
What is the volume of the following sphere? Round your answer to nearest whole number. 10 cm
Answer:
4188.79 cm^3
Step-by-step explanation:
Use formula for volume of sphere from radius.
Help me?! Solve for x
Answer:
x = 12
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, thus
7x - 12 + 108 = 180, that is
7x + 96 = 180 ( subtract 96 from both sides )
7x = 84 ( divide both sides by 7 )
x = 12
Brainliest to first!! Pls help!! :)
please try and solve it
Please help, I don’t understand this problem
i need help with my math>
Answer:D
Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D
:D
eighteen more than five times a number x
Answer:
18 + 5x
Step-by-step explanation:
more than means adding
a gym is offeringa deal to new members. Customers can sign up by paying a registration fee of $200 and a monthly fee of $39. How much will this membership cost a member by the end of one year?
Answer:
The answer is $668.00
Step-by-step explanation:
Just add 200 to how much you will pay over time. So first multiply 39 by 12 (12 months in a year, 39 per month,) to find out how much you will pay by the end of the year then add 200 to that.
Solve the equations by substitution method: A) x+y=3, 2x+5y=12.
Answer:
x = 1, y = 2
Step-by-step explanation:
Original equations:
[tex]x+y=3\\2x+5y=12[/tex]
Substitute y and solve for x:
[tex]y=3-x\\2x+5y=12[/tex]
[tex]2x+5(3-x)=12[/tex]
[tex]2x+15-5x=12[/tex]
[tex]-3x=-3[/tex]
[tex]x=1[/tex]
Plug in x to solve for y:
[tex]1+y=3[/tex]
[tex]y=2[/tex]
x = 1, y = 2
Note: You can also substitute x and solve for y, then plug in y to solve for x. I did not do that here.
Answer:
x+y=3
x=3-y equation 1
2x+5y=12
2(3-y)+5y=12
6-2y+5y=12
6+3y=12
3y=12-6
y=6÷3
y=2 equation 2
again ,
putting value of equation 2 in equation 1
x=3-y
x=3-2
x=1
Is it positive.,negative or no association
Answer:
positive
Step-by-step explanation:
it is going upwards. thats how you know
plz mark me brainliest, i need it to level up! just one more brainliest (itll help alot)
HAVE A GOOD DAY!!!
:D
can you tell me if y=x4 a function
Answer:
Step-by-step explanation:
this is a function because any x value you plug in will have only one unique y value
Answer:
y=4x is a function
Step-by-step explanation:
If (7^0)^x = 1, what are the possible values of x? Explain your answer.
Answer:
Endless
Step-by-step explanation:
There are endless possibilities for x, because 1 to the power of any x will always be 1.
what is 20+.25g=22
need step by step explanation
Answer:
g = 8
Step-by-step explanation:
first move 20 to the right side of the equation by subtracting it. so the equation becomes 0.25g= 22-20 --> 0.25 = 2 and then divide 2 by 0.25 and g will equal 8. you can also plug in 8 for g to check your answer.
Answer:
g = 8
Step-by-step explanation:
First we want to simplify the sides so we will subtract 20 fror each side
.25g =2
then we need to divide each side by .25 to get g isolated or by itself to find the answer
g = 8
If you plug it back into the equation it will be true
20 + (.25 * 8) = 22
Solve the above question
g(20)=4x-5
Julio has 200 ft of fencing to put around a field that has an area of 2500 sq ft. Write an equation that can be used to find the length of
the field?
Answer:
L = 2500/W
Step-by-step explanation:
Let the fields m be rectangular in nature
Area = LW
Perimeter = 2(L+W)
L is the length
W is the width
Given
Perimeter = 200ft
Area = 2500ft²
Substitute into the formula
200 = 2L+2W
100 = L+W ...... 1
2500 = LW.... 2
From 1; L = 100-W
Substitute into 2
2500 = (100-W)W
100W - W² = 2500
W²-100W+2500 = 0
W²-50W-50W+2500 = 0
W(W-50)-50(W-50) = 0
W - 50 = 0
W =50
Substitute w = 50 into LW = 2500
L = 2500/50
L = 50
Hence the equation that can be used to find the length of the field is
L = 2500/W