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4x + x = 1200

5x = 1200

x = 12 × ( 100 ÷ 5 )

x = 12 × 20

x = 240

______________________________

Larger : 4 × 240 = $ 960

lower : 1 × 240 = $ 240

Answer:

7263

Step-by-step explanation:

Using technology, the quadratic regression function which models the data in the form ax² + bx + c is written thus ;

The quadratic regression function is a polynomial of degree 2. Where, x represents the widget selling price and y represents the total profit earned.

The predicted profit made on a widget selling price of $10.25 can be calculated by substituting x = 10.25 into the equation :

f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66

f(10.25) = 9428.38

Therefore, the widget selling price is $9428.38

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Answer:

Step-by-step explanation:

let a number be x

let another number be x+1

x+x+1=20

2x=20-1

x=19/2

x=9.5

therefore one number is 9.5 and another number is x+1=9.5+1=10.5

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Let the Consecutive odd numbers be x and x+2

Therefore, the numbers are :

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which donate to the formation of smog and acid rain. Major sources of nitrogen oxide emissions include: Cars and trucks. Coal-fired power plants.

Step-by-step explanation:

Answer:

carbon dioxide

Step-by-step explanation:

took the test

Answer: [tex]5.7\ cm[/tex]

Step-by-step explanation:

Given

Rectangle has an area of [tex]19.38\ cm^2[/tex]

Suppose rectangle length and width are [tex]l[/tex] and [tex]w[/tex]

If each side is increased by [tex]1.50\ cm[/tex]

Area becomes [tex]A_2=35.28\ cm^2[/tex]

We can write

[tex]\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)[/tex]

Substitute the value of width from (ii) in equation (i)

[tex]\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7[/tex]

Width corresponding to these lengths

[tex]w=5.7,\ 3.4[/tex]

Therfore, we can write the length of the longer side is [tex]5.7\ cm[/tex]

Answer and Step-by-step explanation:

To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).

16x - 15 = 30 + 11x

Subtract 11x from both sides of the equation.

5x - 15 = 30

Add 15 to both sides of the equation.

5x = 45

Divide both sides of the equation by 5.

x = 9

So, the answer is 9, which is equal to x.

#teamtrees #PAW (Plant And Water)

Answer:

x = 1.67

Step-by-step explanation:

We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:

(BC) = (AD)

16x - 15 = 30 - 11x

(+11x) + 16x - 15 = 30

27x - 15 = 30

27x = 45

x = 45/27

x = 1.67

Therefore, x = 1.67

Hope this helps!

Answer:

Angle PQR = 120°

Step-by-step explanation:

Answer:

-10a^4 + 17a^2s - 6s^2

in other words, your answer is the first one

Answer:

-10a^4 +17a^2s-6s^2

Step-by-step explanation:

see Image below:)

Answer/Step-by-step explanation:

The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:

∆ADB is an isosceles triangle

∆BCD is an equilateral triangle

Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:

Isosceles triangle:

-Has two equal base angles

-The two sides opposite the two equal base angles are also equal to each other

-the their side (base) is unequal to the other

Equilateral triangle:

-Has three equal angles

-Has three equal sides

-Each angle measures 60°

Using these properties, we can determine the outside lengths of quadrilateral ABCD:

AB = 21 (given)

AD = 17 (given)

AD = BD = 17 (equal sides of ∆ADB)

BD = 17

BD = BC = CD = 17 (properties of equilateral triangle)

BC = 17

CD = 17

✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17

Perimeter = 72 units

Answer:

y = 115.0977+12.2992X

91.59%

Step-by-step explanation:

Given :

DLH(X) ILE(Y)

20 361_0

25 400

22 376

23 384

20 361_0

19 360

24 427.2

28 458.4

26 450_8

29 475.2

DLH (X) : Direct Labor Hours

ILE (Y) : Indirect Labor Expense

The regression model obtained by fitting the data using technology is :

y = 115.0977+12.2992X

Where ;

Intercept = 115.0977 ;

Slope = 12.2992

The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.

For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.

Answer:

7.5 hours

Step-by-step explanation:

The key here is to find out how much can be done in the same amount ot time

the least common multiple of 5 hrs and 3 hrs is 15hrs

In 15 hours:

- At 5 hours per lawn Norton could mow 15/5 = 3 lawns

- At 3 hours per lawn together thay could mow 15/3 = 5 lawns

In 15 hours Jesse would mow 5 - 3 = 2 lawns

15 hours/ 2 lawns = 7.5 hours per lawn

7.5 hours

--------------------

Here's the math

1 lawn/5hrs + x = 1 lawn / 3hrs

1/5 + x = 1/3

Subtract 1/5 from both sides

x = 1/3 - 1/5

x = 5/15 - 3/15

x = 2/15

x = 2lawns/15 hrs

15hrs/2lawns = 7.5 hrs per lawn

7.5 hours

Suppose Easton entered in * x * shows , So we have :

60/100 × x = 15

x = 1500/60

x = 150/6

x = 25

Thus he entered 25 shows last year.

Answer:

103/25

Step-by-step explanation:

412% = 4.12 = 103/25

Answer:

4.12

Step-by-step explanation:

remove the '%' sign and then move the decimal two places to the left

other examples:

5% = .05

4.5% = .045

123% = 1.23

.9% = .009

Answer:

the ratio of white tiles to blue tiles is 48

Step-by-step explanation:

The scale factor does the company need to use for the family size box is 1.56.

A scale factor is the number by which all the components of an object are multiplied in order to create a proportional enlargement or reduction.

According to the question

A food company is designing boxes for several products. Each box is a rectangular prism.

The family size box will be a dilation of the single serving 1.2-ounce box.

It must contain 18.75 ounces of cereal.

For finding scale factor divide 18.75 by 12

= [tex]\frac{18.75}{12}[/tex]

= 1.56

Hence, the scale factor does the company need to use for the family size box is 1.56.

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Answer:

7 1/9

Step-by-step explanation:

because I know i'm right

Answer:

Answer in Improper fraction: 64/9

Answer is Mixed number: 7 1/9

In decimal form: 7.11111111111111111111111111111111111111 (Forever, you get the picture)

Step-by-step explanation:

Improper fraction form:

8/3*8/3= 64/9

Hope this helps!

Answer:

24

Step-by-step explanation:

18/ 3/4=24

Answer: $4045.43

Step-by-step explanation: I just took the test.

The amount of money Ida will make in all over 5 weeks will be $4556.25.

The amount of money earned by any seller on the cost price is called the profit. It is given that Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week.

The amount will be calculated as follows:-

A    =   600 ( 1.15 ) ⁵

A    =   $4556.25

Therefore the amount of money Ida will make in all over 5 weeks will be $4556.25.

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Answer:

The length would be 25/5 which is 4.8

Answer:

l=8 or -3

Step-by-step explanation:

You can write this into an equation!

It will be l*(l-5)=24

Now, we can just solve.

We have to expand the equation and so on.

Answer:

C(min)   =  8763.4 $

Step-by-step explanation:

Area =  24000 ft²

In a rectangle,    A =  x * y            x  is the base side and  y the height side

Cost of low and upper side   (x)  is 20 $ per foot

Cost of east and west sides  ( y)  is  10 $per ft

total cost is:

C(r)  =  2 * 20* x  +  2*  10* y

from  A =  x * y      y  =  A / x        y  =  24000 / x

And by substitution in C(r) we get:

C(x)  =   2 * 20* x  +  2*  10* 24000 / x

C(x)  =  40 * x  + 480000 / x

Tacking derivatives on both sides of the equation:

C´(x)  =  40  -  480000 / x²

C´(x)  =  0                40   -   480000/x²   = 0

40* x²  -  480000  = 0

x²  =  480000 / 40

x²  =  12000

x  =  √ 12000   =  109,54 ft

and  y  =  24000 / 109,54

y  =  219,09  ft

Chequing for second derivative

C´´(x)  =   480000 / x⁴     is always positive so we have a minimum of C at the value  x  =  109,54

Minimum cost C (min)  =  40* 109,54 +  20 * 219,09

C(min)   =  4381.6  +  4381.8

C(min)   =  8763.4 $

Answer:

Let base = b

Given height, h is 4inches less than base. So h = b - 4

[tex]Area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} b \times(b-4)\\224 = b(b -4)\\b^2 - 4b -224 = 0\\\\b= \frac{4 \pm \sqrt{16 - (4\times -224)} }{2} \\\\\\b= \frac{4 + \sqrt{16 +896 } }{2} , b= \frac{4 - \sqrt{16 +896} }{2} \\\\\\b = 17.099 , -13.099[/tex]

Since length can't be negative, we take b = 17.099inches

Height ,h = b - 4 = 13.099 inches ≈ 13.1 inches

Answer:

c

Step-by-step explanation:

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

Answer:x=−2±√119

Step-by-step explanation:

Answer:

30% of total students chose snowboarding as their favorite sport.

Step-by-step explanation:

We know that;

=> Total people = 500

=> Snowboarding people = 105

=> Percentage = unknown, so we can say it as x

So we can set up the equation;

x% · 500 = 105

[tex]\frac{x}{100}[/tex] · 500 = 105

x · 5 = 105

x = 105/5

x = 30

So 30% of total students chose snowboarding as their favorite sport.

Hope this helps!

Answer:

the surface area is 220

Step-by-step explanation:

:)