Answer:
m = -1
Step-by-step explanation:
Solve for m:
5 (m - 7) = -8 (3 m + 8)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
5 m - 35 = -8 (3 m + 8)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
5 m - 35 = -24 m - 64
Hint: | Move terms with m to the left hand side.
Add 24 m to both sides:
24 m + 5 m - 35 = (24 m - 24 m) - 64
Hint: | Look for the difference of two identical terms.
24 m - 24 m = 0:
24 m + 5 m - 35 = -64
Hint: | Group like terms in 24 m + 5 m - 35.
Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:
(5 m + 24 m) - 35 = -64
Hint: | Add like terms in 5 m + 24 m.
5 m + 24 m = 29 m:
29 m - 35 = -64
Hint: | Isolate terms with m to the left hand side.
Add 35 to both sides:
29 m + (35 - 35) = 35 - 64
Hint: | Look for the difference of two identical terms.
35 - 35 = 0:
29 m = 35 - 64
Hint: | Evaluate 35 - 64.
35 - 64 = -29:
29 m = -29
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 29 m = -29 by 29:
(29 m)/29 = (-29)/29
Hint: | Any nonzero number divided by itself is one.
29/29 = 1:
m = (-29)/29
Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.
The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:
Answer: m = -1
What is the image of (9,0) after a dilation by a scale factor of 2 centered at the origin?
Answer:
(-18,0)
Step-by-step explanation:
Dilation involves changing the size of a point.
The image of (9,0) after a dilation by a scale factor of 2 centered at the origin is (18,0)
The point (P) is given as:
[tex]P = (9,0)[/tex]
The scale factor (k) is given as:
[tex]k = 2[/tex]
The image after a dilation centered at the origin is the product of the coordinates of the point and the scale factor.
So, we have:
[tex]P' = P \times k[/tex]
This gives
[tex]P' = (9,0) \times 2[/tex]
Expand
[tex]P' = (9\times 2,0\times 2)[/tex]
Evaluate the products
[tex]P' = (18,0)[/tex]
Hence, the image of (9,0) is (18,0)
Read more about dilation at:
https://brainly.com/question/18549175
26-4s=9s solve the equation
Answer:
26=9s+4s
13s=26
s=26/13
s=2
Step-by-step explanation:
hope it is helpful for you if it is follow me
Answer:
s=2
Step-by-step explanation:
We are given the equation:
[tex]26-4s=9s[/tex]
and asked to solve. We want to find out what the unknown variable, s, is. Therefore, we must isolate s on one side of the equation.
First, let's get all the terms with s on one side of the equation. 4s is being subtracted from 26. The inverse of subtraction is addition. Add 4s to both sides of the equation.
[tex]26-4s+4s=9s+4s[/tex]
[tex]26=9s+4s[/tex]
[tex]26=13s[/tex]
s is being multiplied by 13. The inverse of multiplication is division. Divide both sides of the equation by 13.
[tex]26/13=13s/13[/tex]
[tex]26/13=s[/tex]
[tex]2=s[/tex]
[tex]s=2[/tex]
Let's check our solution. Plug 2 in for s and solve.
26-4s=9s
26-4(2)=9(2)
26-8=18
18=18
This checks out, so we know our solution is correct.
The solution to the equation 26-4s=9s is s=2.
|x + 5| – |2w| When x = 2 and w = –4
Answer:
-1
Step-by-step explanation:
lx+5l -- l2wl
l2+5l -- l2x-4l
7 -- l2x-4l
7 -- 8
-1
What is the answer to 7-3(x+6)=7-4x
I think that the answer to your question is: x = 9
The altitude of an airplane is represented in the graph below. A graph with time (minutes) on the x-axis and altitude (feet) on the y-axis. Points are at (0, 0), (20, 12,000), (40, 24,000), (60, 36,000), (80, 36,000), (100, 36,000), (120, 36,000), (130, 36,000), (140, 24,000), (160, 12,000), and (180, 0). Is the airplane’s altitude a function of time? Yes, because any input of time results in only one output of altitude. Yes, because the airplane increases and decreases in altitude at the same rate. No, because each output of altitude has more than one input of time. No, because the altitude is constant between 60 minutes and 130 minutes.
Answer:
A
Step-by-step explanation:
Answer:
A.) yes
Step-by-step explanation:
What is the factored form of x2+16x+15
Answer:
(x+1)(x+15)
Step-by-step explanation:
[tex]x^2+16x+15\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(15x+15\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\\\\mathrm{Factor\:out\:}15\mathrm{\:from\:}15x+15\mathrm{:\\\quad }15\left(x+1\right)\\=x\left(x+1\right)+15\left(x+1\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x+15\right)[/tex]
Which of the following best represents the average rate at which a person can quickly walk? (2 points)
Oa
3 steps per hour
3 steps per second
.
30 steps per minute
30 steps per second
Simplify this numerical expression: 17 - 5 · 2 + 3
Answer:
10
Step-by-step explanation:
17 -5 times 2 + 3
Step 1:
17 - 10 + 3
Step 2:
7 + 3
Step 3:
10
Answer:
10
Step-by-step explanation:
Equation:
17 - 5 times 2 + 3
First Step:
Multiplying is first in the order of operations so
17 - 10 + 3
Second Step:
Then adding and subtracting are the same so you do the equation left to right
7 + 3
Answer:
Then you just add it
10
3. the product of 33 and j
write an algebraic expression
Answer:
"the product" is multiplication.
x
"33 and j"
33 x j
33jr 33
Mulipaction :)
(01.01 MC)Why is 1 + (−5) equal to −4? I NEED HELP ASAPPPP
Answer:
Hey there!
1+(-5)=1-5
1-5 = -4
Let me know if this helps :)
What are the x-intercepts of the graph of the function f(x) = x^2 + 4x – 12?
(-6,0). (2.0)
(2. -16). (0, -12)
(-6.0), (2, -16), (2, 0)
(0.-12).(-6, 0), (2, 0)
Answer:
(- 6, 0 ) , (2, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 4x - 12 = 0 ← in standard form
(x + 6)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
Thus the x- intercepts are (- 6, 0 ), (2, 0 )
What is 159 x 7 = ?
Answer:
the answer is 1,113 my friend
Answer:
the answer is 1,113
Step-by-step explanation:
you just multiply 159 times 7 and it gives you 1,113
The formula for percentage increase I (given as a decimal) of an investment is I=S−P/P, where P is the purchase price and S is the sale price. You sell a stock at a price of $75, earning a percentage increase of 25%. What was the purchase price of the stock? Also solve the formula for P pls show steps
We are given the formula in the questions, so all we need to do is solve.
0.25 = 75-p/p
0.25 = 75 - p
0.25p + p = 75
1.25p = 75
1.25p/1.25 = 75/1.25
p = 60
Therefore, the purchase price was $60.
Best of Luck!
What is the value of the expression (9x3)+7
Answer:
34
Step-by-step explanation:
(9x3)+7
PEMDAS says parentheses first
27+7
34
8 x 105 is how many times as great as 8 x 10-1?
A. 10-4
B.10- -6
C. 10-6
D. 10 - -4
Answer:
1050 times larger
Step-by-step explanation:
simply multiply two expression and divide the first by the the second
(8×105)/(8×10^-1)= 1050
big water canoeing company rents conoes for 75$ per hour. explain why the point (0,0) and (1, 75) are on the graph of the relationship and ahag these points mean in the context of the problem
what is the value of the product {3-2i][3+2i}
Answer:
13
Step-by-step explanation:
Step 1: Write out expression
(3 - 2i)(3 + 2i)
Step 2: FOIL
F - 9
O - 6i
I - -6i
L - -4i²
Step 3: Combine
9 + 6i - 6i - 4i²
Step 4: Combine like terms
9 - 4i²
Step 5: Simplify
i² = -1
9 - 4(-1)
9 + 4
13
when you are adding 5+2 what do you get?
Answer:7
Step-by-step explanation:
5+2=7
3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D. Which angle is a vertical angle with AngleEFD? AngleDFB AngleCED AngleBFC AngleAFB
Answer:
AngleAFB
Step-by-step explanation:
We know that vertical angles are angles that opposite each other when two lines intersect. They share a common point or vertex.
In the question, the angle opposite to angle EFD is angle AFB. This is because they share a common vertex.
Since they share a common vertex and are opposite to each other, angle AFB is the angle vertical to angle EFD.
So, the angle vertical to angle EFD is angle AFB.
Answer:
angle afb
Step-by-step explanation:
took edge test
by which when 625 is divided , will make the quotient a perfect cube
Answer:
[tex]\boxed{\bold{\huge{\boxed{5}}}}[/tex]
Step-by-step explanation:
625 when divided by 5 gives 125 which is a perfect cube.
=> [tex]\sf \frac{625 }{5 } = 125[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\sf \ \sqrt[3]{125} = 5[/tex]
So, 5 needs to be divided by 625 to make the quotient a perfect cube!
Help...The sum of three consecutive integers is -33. Find the middle integer.
5. Ethan runs 5 miles in 1/2 of the hour. How many miles will he run in 1 hour? *
(10 points)
A. 20 miles per hour
B. 4 miles per hour
C. 10 miles per hour
D. 8 miles per hour
HELP PLEASE
Answer:
C
Step-by-step explanation:
Because you times 5 by 2 to get 10 as the answer.
Aiden had saved $22 before he earned $25 mowing a lawn . He then spent $32 on a suitcase . How much money does he have now? Explain how you found your answer
Answer:
$15
Step-by-step explanation:
22+25=47
47-32=15
So Aiden has $15.
Ruben made 3.4 gallons of peach ice cream in his new ice cream maker. If there are 22.5 servings in a gallon, how many servings of ice cream did Ruben make? Ruben made servings of ice cream.
Answer:
Reuben made 76.5 servings of Peach ice cream
Step-by-step explanation:
Total gallons of peach ice cream made = 3.4 gallons
Number of servings per gallon = 22.5
This means that:
1 gallon = 22.5 servings
∴ 3.4 gallons = 22.5 × 3.4 = 76.5 servings
Therefore, Reuben made 76.5 servings of Peach ice cream
given: ∠ABD ≅ ∠BDE
prove: ∠CBD ≅ ∠CDB
__ __
BD≅BD - Reflexive Property
why is ∠CBD ≅ ∠CDB?
Answer:
See Explanation
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
Tracey paid $155 for an item that was originally priced at $520. What percent of the original price did Tracey pay? Around to the nearest tenth of a percent
Tracey paid approximately 29.8% of the original price for the item.
To find the percentage of the original price that Tracey paid, we can use the formula:
Percentage = (Amount Paid / Original Price) * 100
Let's plug in the given values:
Percentage = (155 / 520) * 100
Percentage = 0.2980769230769231 * 100
Percentage ≈ 29.8%
So, Tracey paid approximately 29.8% of the original price for the item.
To know more about original price:
https://brainly.com/question/731526
#SPJ2
The sum of one-half and two-thirds, divided by five.
Answer:
7/35
Step-by-step explanation:
Answer:
0.23333333333333
Step-by-step explanation:
when the whole p is divided by 18 ,24or30 the remainder is 3. Find the least value of p
Answer:
p=363
Step-by-step explanation:
First we take L.C.M(18,24,30)
=>L.C.M=360
=>now add 3 to 360=360+3=363
=>p=363
.-4(8 -c) - (3c + 7)
Answer:
c-39 is the answer
Step-by-step explanation:
multiply the numbers that are in bracket
-4(8-c)-(3c+7)
the answer will be this
-32+4c-3c-7
ARRANGE IN LIKE TERM
-32-7+4c-3c
c-39 is the answer
Hope it is helpful for you
follow me and mark me as a brainest
Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100
b. Employee B: total job benefits $68,400 and total job expenses $300
c. Employee C: total job benefits $68,700 and total job expenses $800
d. Employee D: total job benefits $69,000 and total job expenses $1,000
Please select the best answer from the choices provided
A
B
C
D (not D)
Answer:
its b
Step-by-step explanation:
got a 100 on quiz
The best or greatest total employee compensation will be Employee B: total job benefits $68,400 and total job expenses $300 so option (B) will be correct.
What are subtraction and summation?Subtraction is the minus of any two numbers generally it gives a lower value than the digits which are going to be in the substrate.
A summation, which is the result of adding two or more numbers or quantities, is also known as a sum. A summation always has an integer number of terms. There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.
Given that
In option (B) job benifits $68,400 and job expenses $300 hence the remaining amount = $68,400 - $300 = $68100 which is greatest among all option
In option (A) the job beneifits $68,100 and job expenses $100 hence the remaining amount = $68,100 - $100 = $68000 which is less than A and in all option it is less
For more information about summation and subtraction
brainly.com/question/10777222
#SPJ6