Step-by-step explanation:
[tex]y = ax + b \\ a = \frac{y1 - y2}{x1 - x2} = 3 \\ y = 3x - 1 \\ y = (3 \times 4) - 1 = 11 = k[/tex]
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
please tell me y what 6(2y−9)=-42
Answer:
y =1
Step-by-step explanation:
6(2y−9)=-42
Divide each side by 6
6/6(2y−9)=-42/6
2y -9 = -7
Add 9 to each side
2y -9+9 = -7+9
2y =2
Divide by 2
2y/2 = 2/2
y =1
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
7.2 times 1/9 I need help!
Answer:
8/10
Step-by-step explanation:
Step 1:
7 2/10 × 1/9
Step 2:
72/10 × 1/9
Answer:
8/10
Hope This Helps :)
7.2 times 1/9 is 0.8
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
7.2 times 1/9
=7.2* 1/9
=72/10* 1/9
=8/10
=0.8
Hence, 7.2 times 1/9 is 0.8
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(a) A color printer prints 16 pages in 9 minutes.
How many minutes does it take per page?
| minutes per page
Please help me
I need to submit it now!!
Answer:
Alicia is right, 11 is the answer
Step-by-step explanation:
ItS EaSy
Answer:
it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅
Please answer this question! it's due in a few hours if you don't mind!
Answer: 45 Seconds
Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.
Hope this helped!
-1 +(-3) is units from -1 in the direction
Answer:
-4
Step-by-step explanation:
PLEASE HELP! URGENT!
is this the right andwer plz help i will mark you as brilliant
Answer:
No the answer is 35! :)
Step-by-step explanation:
Answer:
The Answer is Thirty five
Step-by-step explanation:
So you would multiply five by seven and get Thirty Five
the perimeter of a rectangular playground is 46m. if the length of the park is 7m, what is the width of the park?
Answer:
Step-by-step explanation:
2(7) + 2w = 46
14 + 2w = 46
2w = 32
w = 16 is the width of the park
What is 6x - 2 if x = 5
Answer:
28
Step-by-step explanation:
6x = 6 x 5 because x = 5.
6 x 5 = 30
30 - 2 = 28
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?
Answer:
She can make 20 baskets in 5 hours
I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?
please answer the problem below
Answer:
d) m<ADC=44°
Step-by-step explanation:
7x-19=9x-37
-19+37=9x-7
18=2x
x=9
m<ADC=9x-37=9(9)-37=81-37=44
Step-by-step explanation:
Your answer would be D) 44°
A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.
The teacher spend some amount on buying costumes and microphones for 6 cast members.
GiveN:
Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
Equation:
[tex]6 \times 38 + 6 \times c = 354[/tex]
Taking 6 as common,
[tex]6(38 + c) = 354[/tex]
Dividing 6 from both sides,
[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]
[tex]38 + c = 59[/tex]
Solving further,
[tex]38 + c - 38 = 59 - 38[/tex]
[tex]c = 21[/tex]
So, the cost of each microphone = $21
The teacher spent this much on each microphone.
#CarryOnLearning
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The teacher spent $21 on each microphone.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total amount of teachers have = $354
Cost of costume for all 6 members ;
6 × 38 = $228
Cost of microphone for all 6 members ;
6 × c = 6c
Now,
Cost of microphone + Cost of costume = total amount
6c + 228 = 354
6c = 126
c = 21
Hence "The teacher spent $21 on each microphone".
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which grows faster linear or exponential
exponential graphs grow faster
Kylie is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The daily fixed costs are $600 and and the total cost of producing 4 phones in a day would be $1600. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answer:
C= 400P+ 600Step-by-step explanation:
In this problem, we are to model the equation for the total cost of producing a phone
Given that the fixed cost is $600
Also, the total cost of producing 4 phones in a day is $1600
hence the cost of producing 1 phone would be 1600/4= $400
the equation for producing p phones would be
C= 400P+ 600
This equation is the same as the equation of a straight line Y=mx+c
with C=y
400= m= gradient
P=x, the dependent variable
600= c the constant term.
Answer:
c=250+600
Step-by-step explanation:
vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Answer:
It would be 125 spread in each square yard.
Step-by-step explanation:
Simplify the following: (-83)2
what comes next in the pattern
19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45 ___
Name the property or definition illustrated below
If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12
Answer: Substitution
Step-by-step explanation:
GIVEN:
y=3x
2x+4y=12
Then, 2x+4(3x)=12
-----------------------------------------
Substitution: replacing one variable in terms of another variable.
As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.
Hope this helps!! :)
Which model represents the sum given above
Option a. z
Explanation:Because in z it represents 5/8 + 3/8 + 1/8.
Look at the color in z .
Solve for a.
ab + c = d.
Answer:
a = [tex]\frac{d - c}{b}[/tex]
Step-by-step explanation:
ab + c = d
- c - c
ab = d - c
divide both sides by b
a = [tex]\frac{d - c}{b}[/tex]
I hope this helps!!
Answer:
a=d-c/b
Step-by-step explanation:
ab+c=d
ab=d-c
a=d-c/b
3(5x-2)=15x-6 is their a solution or no
Answer: 0 = 0
Step-by-step explanation: there is no solution
JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.
Answer:
KL= 63
Step-by-step explanation:
JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)
*J_______________________K___________________________L
JL=JK+KL
114=7x+9+9x+9
114-18=16 x
16x=98
x=98/16=6
KL= 9x+9
KL=9(6)+9
KL= 63
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
7/20 write the decimal from of each rational number and determine
Answer:
0.35
Step-by-step explanation:
Step 1:
7/20 = 35/100
Step 2:
35 ÷ 100
Answer:
0.35
Hope This Helps :)
Simplify the expression (5)2.
O 25
O-10
0-25
O 10