A car company is designing a car that uses 12% less steel than
its current model. If the current model uses 1,500 pounds of
steel, how much steel will the new car model use?

Answer:

10

Step-by-step explanation:

Diagonals  of a isosceles trapezoid are congruent

3x - 16 = 10x - 86  Subtract 3x from both sides and add 86 to both sides

70 = 7x     Divide

x = 10

Answer:

The denominators of the fractions are 2 and 10.

The fractions with numerators of 1 that have sum of 3 / 5  is calculated below

The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y

1 / x + 1 / y = 3 / 5

Therefore,

1 / x  + 1 / y = 3 / 5

y + x / xy = 3 / 5

cross multiply

5y + 5x = 3xy

Using hit and trial method,

5(2) + 5(10) = 3(10)(2)

10 + 50 = 60

60 = 60

The values are same.

Therefore, the denominators are 2 and 10.

Step-by-step explanation:

Answer:

57753.

Step-by-step explanation:

Basta pm na Lang.

Answer:

y = 2x + 3

Step-by-step explanation:

Get any two points on the line, say (0, 3) and (2, 7)

Slope = (7 - 3)/(2 - 0) = 4/2 = 2

y = 2x + b

use (0, 3), x = 0, y = 3

3 = b

so the equation is y = 2x + 3

Answer:

Okay so basically the variables are y and x. Variables in math are just numbers next to a number to represent an unknown number. The coefficient is the number in-front of a variable. The constant would be 5. Think of constants as numbers with variables or negatives or anything. They are pretty much just there. Now as for terms. Terms are just numbers that are part of the equation. Hope this helped!

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

The original perimeter is 100cm

The 20cm is representative of the width

30cm is representative of the length

length is increased by 10%

30+(.10 x 30)

(1 + .10) × 30

(100% + 10%) × 30

110% × 30

110 ÷ 100 × 30

110 × 30 ÷ 100

3,300 ÷ 100

= 33

length is increased by 5%

20 + (5% × 20) =

20 + 5% × 20 =

(1 + 5%) × 20 =

(100% + 5%) × 20 =

105% × 20 =

105 ÷ 100 × 20 =

105 × 20 ÷ 100 =

2,100 ÷ 100 =

= 21

New perimeter: 108 cm

Percentage increase:

(108-100):100*100 =

(108:100-1)*100 =

108-100 = 8

= 8%

Answer:

a1 = 8

a2 = 6

a3 = 4

a4 = 2

a5 = 0

So it would be: 8, 6, 4, 2, 0,...

Step-by-step explanation:

Just plug the term number into the equation.

an = -2n + 10

First term:

a1 = -2(1) + 10 = 8

Second term:

a2 = -2(2) + 10 = 6

Third term:

a3 = -2(3) + 10 = 4

and so on...

Hope this helped! :)

Answer:

Step-by-step explanation:

Rational Number: -9, 5/8, 30/√25

Irrational Number: √70, π

Answer:

Option D

Step-by-step explanation:

Given the following question:

Product costs: $90
Monthly bills: $2,300
Manufacturing costs: $75

How much profit did they make in one month if they sold 495 units?

In order to find the answer, we first need to multiply the cost of the product by the units sold last month, then subtract the bills/manufacturing costs.

One unit = 90 dollars
495 units sold last month

[tex]90\times495=44550[/tex]
[tex]=44550[/tex]

The company made 44,550 from the product last month.

Now apply the fees/costs:
2,300 dollars in monthly costs
75 dollars in manufacturing costs PER UNIT

[tex]44550-2300=42250[/tex]
[tex]75\times495=37125[/tex]
[tex]42250-37125=5125[/tex]
[tex]=5125[/tex]

Which means the company made a total profit of "$5,125 dollars" or option D last month.

Hope this helps.

Answer:

The answer is 47.5 and 72.5

Step-by-step explanation:

So,

Let the number be x and the other number be (x + 25).

Now,

x + (x + 25) = 120

x + x + 25 = 120

2x + 25 = 120

2x + 25 – 25 = 120 – 25

2x = 95

2x/2 = 95/2

x = 47.5

Thus, The number be x is equal to 47.5 and other which is more 25 than other number is (47.5 + 25) = 72.5

-TheUnknownScientist 72

Answer:

The numbers are 47.5 and 72.5

Step-by-step explanation:

Let "x" represent the larger number, then the smaller number would be equivalent to:

[tex]x-25[/tex]

Larger Number + Smaller Number = 120

Therefore...

[tex]x+x-25=120[/tex]

Combine like terms:

[tex]2x-25=120[/tex]

Add 25 to both sides (note we are utilizing the Addition Property of Equality which essentially states that if you add a value to one side of the equation, you must add it to the other side as well):

[tex]2x=120+25\\2x=145[/tex]

Divide both sides by 2 (note we are now utilizing the Division Property of Equality which essentially states that if you divide a value from one side of the equation, you must divide it from the other side as well; the same as the Addition Property of Equality, but with division instead):

[tex]x=\frac{145}{2}\\x=72.5[/tex]

Therefore...

[tex]x-25=72.5-25=47.5[/tex]

Answer: four hundred forty-four thousand four hundred four.

Step-by-step explanation: Student instructed to give the word form of a given number.

Answer:

four-hundred forty-four thousand four-hundred and four

Step-by-step explanation:

Because i know this

Answer:

D

Step-by-step explanation:

There is only one vertical asymptote, x = 1.

Only D has vertical asymptote, x = 1.

Answer:

f(x)=x2

g(x)=3x+2

(f+g)(x)=x2+3x+2=(x+1)(x+2)

Step-by-step explanation:

Explanation:

Answer:

-6 is the correct answer

Step-by-step explanation:

Answer:

I don’t know figure it out

Step-by-step explanation:

Answer:D) because x had two lines that split through each other.

Step-by-step explanation:

Answer:

Since we assume the variances of the two populations are the same, we can use the pooled variance in the computation of the t-statistic:pooled variance (Sp^2) = (n1-1)s1^2 + (n2-1)*s2^2 / (n1 + n2 - 2) = (13-1)*19.4^2 + (19-1)*12.6^2 / (13 +19- 2) = 245.8Sp = 15.67t-calc = (mean1 - mean2)/ (Sp * sqrt(1/n1 + 1/n2)) = (83.6-72.9)/(15.67 * sqrt(1/13 + 1/19) = 1.897since this is a right tailed test, the p-value = P(t > 1.897) at n1 + n2 - 2 = 30 degrees of freedom = 0.0337so would not reject.

Step-by-step explanation:

mark me brainliest!!

Answer:

the scale factor in the dilation is 1/3

Step-by-step explanation:

image-9

preimage -3

  3/9 = 1/3

Answer:1/3 or c

Step-by-step explanation:

just got it right in edgn gimme brain pls

Answer:

x = 11.25 and y = 18.75

Step-by-step explanation:

ΔABD ≅ ΔBCD

⇒ 20 : 15 = 15 : x

⇒ 20/15 = 15/x

⇒ x = 15 × 15/20

⇒ x = 11.25

⇒ 25 : 20 = y : 15

⇒ 25/20 = y/15

⇒ y = 25/20 × 15

⇒ y = 18.75

Answer:

4+8 I think.. this is poorly worded question so I am not sure it might be something smaller like 10+2

Step-by-step explanation:

Answer:

The answer is $2

I packet has 4 pencils so 12 pencils is 3 packets

if 3 packets cost $6 1 packet costs $2 and since 1 packet of pencils is the same price as one packet of erasers 1 packet of erasers cost $2

Answer:

175

Step-by-step explanation:

Divide. 136.50 divided by 78 then times it by 100 and you get it 175

The percent increase is 56.41%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage. The percentage increase formula is provided by:

percentage increase = (increase in amount /original amount ) x 100

Given:

Bill in may month- 78

Bill in June month = 122

So, change in amount= 122 - 78 = 44

So, percent increase = 44/ 78 x 100

percent increase = 0.5641 x 100

percent increase = 56.41%

Hence, the percent increase is 56.41%.

Learn more about percent increase here:

https://brainly.com/question/13533684

#SPJ2

Answer:

D

Step-by-step explanation:

ey/n + k = t

To get y on its own, the first thing we need to do is subtract k from both sides to get ey/n = t - k. Next, we can multiply both sides by n to get ey = n(t - k). Finally, we can divide by e to get y = n(t - k)/e

Hope this helps!

here it is the sum of interior angles of a triangle =180

Answer:

35+3 x+2 +52=180

35 +3x+6+52=180

93+3x=180

3x=87

x=87

   ---

    3

x= 29

c=3[x+2]

substituding

c=3[29+2]

c=3x31]

c=93

35+93+52=180

i wrote it down so yall can copy and paste

Answer:

89 she drive to work befor she has to fill

Answer:

4 round tripes

Step-by-step explanation:

First, subtract the miles she has already driven

125 - 5 = 120

Then divide the difference of the miles she has already driven

120 ÷ 30 = 4

Using exponential function concepts, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, the initial value of the computer is of A(0) = 1500, while it decays at a rate of 15% a year, hence r = 0.15 and the equation is:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 1500(0.85)^t[/tex]

Or equivalently, as a sequence:

[tex]a_n = 1500(0.85)^{n-1}[/tex]

Hence, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Answer:

The answer is 3

Step-by-step explanation:

I did this quiz before

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Slope formula:

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{8 - 5}{ - 4 - ( - 8)} [/tex]

[tex] = \frac{3}{ - 4 + 8} [/tex]

[tex] = \frac{3}{4} [/tex]

Answer:

45 actual car

Step-by-step explanation:

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