Answer:
The number of compact cars = x = 30 cars
The number of intermediate-sized car = y = 60 cars
The number of full-size cars purchased = z = 10 cars
Step-by-step explanation:
Let us denote:
the number of compact car = x
the number of intermediate-sized car = y
the number of full-size cars purchased = z
The total number of cars to be purchased is 100.
Hence:
x + y + z = 100...........Equation 1
If Hartman purchases twice as many compacts as intermediate-size cars
y = 2x
So: x + 2x + z = 100..........Equation 2
= 3x + z = 100
z = 100 - 3x
Compacts cost $18,000 each, Intermediate-size cars cost $27,000
Full-size cars cost $36,000 each.
Assume that the entire budget will be used.
Hence,
x × $18,000 + y × $27,000 + z × $36,000 = $2,520,000.
18000x + 27000y + 36,000z = $2,520,000.....Equation 4
Substitute 100 - 3x for z and y = 2x in Equation 4
18000x + 27000(2x) + 36,000(100 - 3x) = $2520000
18000x + 54000x + 3,600,000 -108000x = $2520000
72000x -108000x + 3,600,000 = $2,520,000
= $3,600,000 - $2,520,000 = 108000x - 72,000x
$1,080,000 = 36,000x
Divide both sides by $36,000
x = $1080000/36000
x = 30
From the above:
y = 2x
y = 2 × 30
= 60
z = 100 - 3x
= 100 - 3 × 30
= 100 - 90
= 10
Therefore,
The number of compact cars = x = 30 cars
The number of intermediate-sized car = y = 60 cars
The number of full-size cars purchased = z = 10 cars
can you help me please
Answer: D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
HELP TO BECOME BRAINLY PLEASE
Find the perimeter of the figure above. Round each side to the nearest tenth BEFORE adding the sides.
Answer:33.2
Step-by-step explanation:
7.1 + 9.5 + 9.5 + 7.1
you have to find the distance for each point and add them all up.
What is the equation of a line of slope of 4 and pass through (-1,-6)
Answer:
The answer is
[tex] \huge y = 4x - 2[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question the point is (-1,-6) and slope 4
The equation of the line is
[tex]y + 6 = 4(x + 1) \\ y + 6 = 4x + 4 \\ y = 4x + 4 - 6[/tex]
We have the final answer as
[tex]y = 4x - 2[/tex]
Hope this helps you
5) A bird, flying 25 feet above the sea, spotted a fish swimming 7 feet below the surface. How far did the bird need to go to catch the fish? 6) Tanecia borrowed $15 from her parents to buy a tick to see her favorite band. Her neighbors gave her $5 for mowing the lawn, which she gave back to her parents. much money did she owe them now?.
Answer:
5) 32 because 25 +7 = 32
6) 10$ because she used 15 dollars than she was paid 5 dollars which she gave to her parents so she now only owes them 10 back
2/3÷2 1/3= dividing fractions
Answer:
3/3
Step-by-step explanation:
3/3
3.5 or 3 1/2 just comment if you need to show work :)
find the product:
(-9)(-4)
Answer:
36
Step-by-step explanation:
-9*-4=36
25 POINTS!!!!!!!
Which show is better Johnny Test or Chowder?
Answer:
Johnny Test
Step-by-step explanation:
2. Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle
A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
a. 40 inches by 10 inches
b. 10 inches by 2.5 inches
c. 9 inches by 3 inches
d. 7 inches by 3 inches
e. 6.4 inches by 1.6 inches
Answer:
a. 40 inches by 10 inchesStep-by-step explanation:
Given the measurement of Rectagle A = 8in by 2in. If rectangle B is a scaled copy, this means the length and with of the new triangle by be that of A multiplies by a constant factor.
If the scale is 5:1, this means that the dimension of Rectangle B is as shown;
Length of B = 5(8in) = 40in
Width of new Rectangle B = 2(5) = 10in
Hence the measurement pairs that could be the dimensions of Rectangle B are 40in by 10in
the rest of the measurement are not multiplied by a constant value.
The mean of four numbers is 2.6
One of the four numbers is 5
Find the mean of the other three numbers.
Answer:
Step-by-step explanation:
the "mean" just means the "average"
So if the average of four numbers = 2.6
To find the total of the four numbers, you would multiply 2.6 by 4.
2.6 x 4 = 10.4
One of the four numbers is 5. (given in the question)
This means that the total of the remaining three numbers is:
10.4 - 5 = 5.4
Then divide 5.4 by 3 to find the average of the 3 numbers.
Mean of the other 3 numbers = [tex]\frac{5.4}{3}[/tex] = ?
Evaluate 3XG for G =9
Please help urgent!!!!
Answer:
2/3 - 5/12
= 8/12 - 5/12
=3/12
9/20 ÷3/4
= 9/20 × 4/3
=3/5
3/12 × 3/5
=9/60
5/12
Step-by-step explanation:
2/3-5/12×9/20÷3/4=
2/3-5/12×9/20×4/3=
2/3-5/12×3/5=
2/3-1/4=
8/12-3/12=5/12
what is the answer pleas tell me
Answer:
i believe its B,C, and E
Step-by-step explanation:
When a number changes position, but the answers are still the same this is called?
associative property
B identity property
C commutative property of addition or multiplication
D
Answer:
fortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnite
Step-by-step explanation:
fortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnite
what's the answer? pls help
Answer: -2
I'm not so sure what it means by slope, but because I saw a pattern between x and y (it decreases by 2 every x value and decreases by 4 every TWO x values) values so I would pick -2. BUT I don't know if the answer is -4.
Step-by-step explanation:
Which of the following is a solution of the equation 9- 2x=-1?
04
05
04
0-5
Answer:
the answer is 5
Step-by-step explanation:
9-2x=-1. you subtract the 9 from both sides, giving you -2x=-10. then you divide the -10 by -2 which gives you 5
Benjamin has 5 baskets. Each basket has 10 berries in it. Explain how you could find how many berries benjamin has
Answer: You can multiply 5 x 10 which means he has 50 berries
0.03 recurring a fraction
Answer:
the decimal representation of 1/3 = 0.3333333... becomes periodic just after the decimal point, repeating the single-digit sequence "3" infinitely.
plz mark brainliest
can you help me with this problem please
Answer:
c
Step-by-step explanation:
if your talking bout the one at the top
Laura sells beaded necklaces each large necklace sells for $6.80 and each small necklace sells for $5.10 how much will she earn from selling three large necklace and one small necklace
Answer:
25.5
Step-by-step explanation:
3 large necklaces equals 20.4 plus 5.10 equals 25.5
Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. What are the maximum and minimum amounts that Victor might have made last month?
Answer:
maximum is 81.50
minimum is 68.50
Step-by-step explanation:
1m-751=6.50
m-75=6.50
m=81.50
/m-75=-6.5
m=68.50
The maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Given that Victor has a goal of making $75 per week at his after-school job. and Last month he was within $6.50 of his goal. Therefore, the maximum and minimum amounts that Victor might have made last month are,
Maximum and minimum amount = $75 ± $6.50
= $75+$6.50 , $75-$6.50
= $81.5 , $68.5
Hence, the maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.
Learn more about Addition here:
https://brainly.com/question/14092461
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find the two angles measures from the diagram 7x+9 5x+3 there's 3 answers 1. 73 and 73 2. 107 ,107 3.107 and 73 this is so confusing WILL GIVE BRAINEST
Answer:
107 and 73Step-by-step explanation:
supplementary angle
7x + 9 + 5x + 3 = 180
12x = 180 - 3 - 9
x = 168 / 12
x = 14
plugin x=14 into the equation
= 7x + 9
= 7(14) + 9
= 107°
plugin x=14 into the equation
= 5x + 3
= 5(14) + 3
= 73°
Please help. Thank you :)
if i give u the answer will u give me brainleist
Write the equation of a line that is perpendicular to y=1/2x-6 that passes through the point (6,4)
Answer:
y=-2x
Step-by-step explanation:
Hope this helps! :)
Select all the pairs of equivalent expressions. Need answer ASAP!
74.823 expanded form
Answer:
Standard Form:
74.823
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
70
+
4
+
0.8
+
0.02
+
0.003
Expanded Factors Form:
7 ×
10
+
4 ×
1
+
8 ×
0.1
+
2 ×
0.01
+
3 ×
0.001
Expanded Exponential Form:
7 × 101
+
4 × 100
+
8 × 10-1
+
2 × 10-2
+
3 × 10-3
Word Form:
seventy-four and eight hundred twenty-three thousandths
Step-by-step explanation:
see from Google
Can I have brainliest
What's the answer? pleaseee help
Answer:
m = 2
Step-by-step explanation:
To find the slope, simply use this equation:
m = y2 - y1 / x2 - x1
Now we need to insert some points:
m = 10 - 0 / 11 - 6
m = 10/5
m = 2
Therefore, the slope of the line is 2.
What is the equation of the line that passes through the point (5,-7) and has a slope of negative 1
Answer:
y = -x - 2
Step-by-step explanation:
Use equation: y = mx + b, where "m" is the slope and "b" is the y intercept. You are given a slope of -1 for the m. This is usually expressed as just a "-", as the 1 is inferred.
Since you are given a point, plug the x and y values in to the equation.
-7 = -(5) + b
Solve for b:
-7 = -5 + b
-2 = b
Knowing "m" and "b", plug these in to get your final equation
y = -x - 2
Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula I = p r t?
I
p
r
t
Answer:
the CORRECT answer is p
Step-by-step explanation:
The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.
Given that, principal (P)=$4,383, R=5.2% and T=3 years.
What is simple interest formula?The formula to find the simple interest is S.I=P×T×R/100.
Where, P= Principal, R= Rate of interest and T= Time period.
Now, S.I=4,383×3×5.2/100
=$683.748
The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.
To learn more about the simple interest visit:
https://brainly.com/question/22621039.
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A sporting goods store sells footballs, basketballs, and volleyballs. A football costs $3, a baskeball costs $1, and a volleyball costs $21. On a given day, 2 times the number of footballs sold was the same as the number of volleyballs sold. They brought in a total of $3750 that day, and the money made from basketballs alone was $66 more than the money made from volleyballs alone. Let x, y, z be the number of footballs, basketballs, and volleyballs sold respectively. Create the matrix A that solves
Answer:
Step-by-step explanation:
Given x∥y and m∠3=124° . WILL GIVE BRAINLIEST PLEEEASSEEE
What is m∠8?
Enter your answer in the box.
m∠8 =
Answer:
m<8 = 26°
Step-by-step explanation:
Given:
m<3 = 124°
Required:
m<8
SOLUTION:
Find m<4.
m<4 + m<3 = 180° (linear pair)
m<4 + 124° = 180°
m<4 + 124° - 124° = 180 - 124°
m<4 = 26°
Find m<8:
m<8 = m<4 (corresponding angles)
m<8 = 26° (substitution)