3p-1=5(p-1)-2(7-2p)
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p
Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p
Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
Mrs. Burrell is buying donuts for a morning study session. She can spent $35. If it costs $3 per donut and $2 for a chocolate milk for herself, how many donuts did she buy for her students?
Answer: 11 donuts
Step-by-step explanation:
Express 7.4 x 10² in standard form.
MATH
Answer:
7.4 x 10²
7.4 *100
740
Step-by-step explanation:
10^2 = 100
7.4 × 10^2 = 7.4 × 100 = 740
Answer: 740Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.
Answer:
True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.
False- She has $3 left over.
Step-by-step explanation:
2 pounds of burgers for $3 each is $6
1 bag o bun equals $2
5 bags of chips for $4 each is $20
$20 + $6 +$2 = $28
She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.
A map has a scale of 1 inches : 10 miles. Use the given map distance to find the actual distance.
15 miles
12 miles
30 miles
39 miles
A map has a scale of 1 inch : 5 kilometers. Use the given actual distance to find the map distance.
14.4 inches
9.25 inches
68 inches
20.3 inches
Answer:
A) inches: 1.5, 1.2, 3.0, 3.9
B) km 72, 46.25, 340, 101.5
Step-by-step explanation:
A) To find the distance in inches, divide by 10 miles:
15 miles ⇒ 1.5 inches
12 miles ⇒ 1.2 inches
30 miles ⇒ 3.0 inches
39 miles ⇒ 3.9 inches
__
B) To find the distance in km, multiply the map distance by 5.
14.4 in ⇒ 72 km
9.25 in ⇒ 46.25 km
68 in ⇒ 340 km
20.3 in ⇒ 101.5 km
Keith had two hundred sixteen dollars to spend on six books. After
buying them he had eighteen dollars. How much did each book cost ? _____________
Answer:
$34.66
Step-by-step explanation:
216-8= 208 divided by 6 = 34.666666
Answer: 33$ each
Step-by-step explanation:
you start by subtracting 18 from 216 to get rid of the leftover money.
you'll have ended up with the number 198
divide 198 by 6 and that will be your answer.
Solve the formula for m.
e = MC^2
M=
Answer:
[tex] M = \frac{e}{C^2 } [/tex]
Step-by-step explanation:
[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]
Use the model to solve for x.
A) no solution
B) x = 3
C) x = -3
D) x = - 3/2
Find the slope of the line parallel to the given line
y=8/3x-5
Answer:8/3
Step-by-step explanation: parallel lines have the same slope
Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2).
What is the scale factor of the dilation?
10
9
8
7
6
5
3
2
1
3
VA
5
8 9 10 11 12 13 14 15
03
12
O 8
1/3
Answer:
3
Step-by-step explanation:
5-3(5x+2)+15x
Show and explain work
Answer:
-1
Step-by-step explanation:
5-3(5x+2)+15x
Distribute
5 - 3*5x - 3*2 +15x
5 - 15x -6+15x
Combine like terms
5-6 -15x+15x
-1
hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?
(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.
6^2 = 36
(g^4)^2 = g^8
(h^5)^2= h^10
The final answer: 36g^8h^10
Question 9
3 pts
2
1
3.
4
If m 1 equals (4x + 2) and m23 equals (5x - 15), what is the value of x?
016
O 14
O 15
17
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?
Answer:
-23x-40
Step-by-step explanation:
-5(3x+10)-2(4x-5)-15x-50-8x+10-23x-40Consider this polynomial equation.
Use the equation to complete this statement.
The equation has solutions. Its real solutions are .
Answer:
The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1
Step-by-step explanation:
Answer:
x = 3, -1, 2, -2
Step-by-step explanation:[tex]x^{2}[/tex]
6([tex]x[/tex]-3)([tex]x^{2}[/tex]+4)([tex]x[/tex]+1) = 0
6([tex]x[/tex]-3)([tex]x[/tex]+2)([tex]x[/tex]-2)([tex]x[/tex]+1) = 0
Using the fact that ([tex]x^{2}[/tex]+4) = ([tex]x[/tex]-2)([tex]x[/tex]+2) - known as the difference of two squares rule
Thus solve by inserting values of [tex]x[/tex] that will result in the equation equating to 0.
ie: if [tex]x[/tex] = 3,
6(3-3)(3+2)(3-2)(3+1) = 0
0=0
RHS = LHS therefore true
9 = -3 + n + 2n what does n equal ?
Step-by-step explanation:
9=-3+n+2n
9+3=n+2n
12=3n
n=12/3
n=4
[tex]9 = - 3 + n + 2n[/tex]
now let's flip this equation to make things easier[tex] - 3 + n + 2n = 9[/tex]
now move -3 to the other sidewhen we move -3 to the other side it turns into positive 3[tex]n + 2n = 9 + 3[/tex]
now add the values on both sidesn + 2n will be equal to 3n and 9 + 3 will be equal to 12[tex]3n = 12[/tex]
now move 3 to the other sidethe multiplication sign that binded 3 and n together will change into division when moved to the other side[tex]n = \frac{12}{3} [/tex]
when we divide 12 and 3 we will get 4[tex]n = 4[/tex]
so final answer is 4hope that helps !A solution of salt and water contains 70 grams of water per 140 milliliters of the solution. If 1 mole of water weighs 16 grams, moles of water would be present in 35 milliliters of the solution. [Round off your answer to two decimal places] (4 points)
Answer:
1.09 moles.
Step-by-step explanation:
There is 70g of water in 140ml of solution.
This means there are 17.5g of water in 35ml of solution. (Divide by 4)
In 17.5g of water, there are 17.5/16 = 1.09 moles of water.
what are the steps to the soultion of 2<-3X-4<5
Answer:
i have no idea
Step-by-step explanation:
no idea
Answer:
-4<x<-2
Step-by-step explanation:
The first thing you do to solve this problem is to look at the limits: -3x-4 should be higher than 2 and lower than 5.
You first find what x should be for -3x-4 to equal 2. After solving, you get that x should be -2 for the equation to be equal to 2.
You then find what x should be for -3x-4 to equal 5. After solving, you get that x should be -4 for the equation to be equal to 5.
Since x can't be -2 or -4, because -3x-4 should be greater than 2 and less than 5, the solutions for x are going to be between -2 and -4.
This is why the answer to this problem is -4<x<-2.
Is compare 3 >,< or =
Is compare 4 >,< or =
Please help
Answer:
First one is <
Step-by-step explanation:
Second one is =
Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flour, how many batches of brownies can he make?
he can make like nine batches so ya ya ya ya ya Step-by-step explanation:
VERY EASY HELP QUICKLY PLEASE!! Write 6.012 as a mixed number in simplest form.
Answer:
6 3/250
Step-by-step explanation:
hope this helps ..;)
21x-13= 10x+31
Find uv if the value x=4
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
factorize
a²-b²-20+1
Answer:
(a+b)(a-b)-19
Step-by-step explanation:
a²-b²
=a²-ab+ab-b²
=a(a-b)+b(a-b)
=(a+b)(a-b)
it'll be more easy to understand if u try solving it the other way(from bottom to the top)
there fore... a²-b²=(a+b)(a-b)
and -20+1=-19
so then the ans will be(a+b)(a-b)-19
The function g(x) = f(x – 7) + 3. Which of the following is true about the graph of g(x)
Which statement about the expression is
true?
- 2/2 - 1/3
The product is less than -1
The product is greater than 1
The product is a positive number
The product is less than both factors.
Answer:
dccvv
Step-by-step explanation:
cdcfcf
Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target. How many targets did he miss? Allen missed targets.
solve this equation- x+3=x+3
Answer:
x = 0
Step-by-step explanation:
Step 1: Write out equation
x + 3 = x + 3
Step 2: Add x to both sides
2x + 3 = 3
Step 3: Subtract 3 on both sides
2x = 0
Step 4: Divide both sides by 2
x = 0
Answer:
Step-by-step explanation:
x + 3 = x + 3
3 = 3
infinitely many solutions
5 degrees below zero
Answer:
5 degrees below zero = -5 degrees
if the perimeter of a square is 8√2, find the area of the square
Answer:
Area=128
Step-by-step explanation:
p=8[tex]\sqrt{2}[/tex]
A=p^2
put value of p
A= (8[tex]\sqrt{2}[/tex])power2
A= (8^2* [tex]\sqrt{2}[/tex]^2)
A=64 * 2 (square root of 2 will be cancel by power 2)
A= 128
Which linear function has the same y-intercept as the one that is represented by the graph?
Answer:B is the answer
Step-by-step explanation:
Answer:
The answer would be C because the y-intercept is when x is equal to 0
Step-by-step explanation:please mark me brainliest