Destiny made 80 cookies. She left 8 cookies at home for her family before taking the rest to school. What percent of the cookies did she leave at home?

Answer:

x = 19/4 and y = 15/8

Step-by-step explanation:

Given:

y = (-3/2)x + 9

2x + 4y = 17

Move y to one side:

2x + 4y = 17

y = 17/4 - x/2

Solve for x:

(-3/2)x + 9 = 17/4 - x/2

x = 19/4

Substitute x to solve for y:

y = (-3/2)(19/4) + 9

y = 15/8

2(19/4) + 4y = 17

y = 15/8

Answer:

The answers is 15840

Step-by-step explanation:

\text{Exponential Functions:}

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }14000

a=starting value = 14000

r=\text{rate = }2.5\% = 0.025

r=rate = 2.5%=0.025

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.025=1.025

b=1+r=1+0.025=1.025

\text{Write Exponential Function:}

Write Exponential Function:

y=14000(1.025)^x

y=14000(1.025)  

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=14000(1.025)^{5}

y=14000(1.025)  

5

y= 15839.71498

y=15839.71498

Evaluate

y\approx 15840

y≈15840

round

Answer:

96

Step-by-step explanation:

first off you know that it is a square pyramid, so you can assume that all base lengths are 6.

i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory

next, we have to find the 4 triangles

we know that they are 5 by 6 but you have to divide them by 2

so 30/2=15 and there are 4 of them

15*4=60

now add together 60 and 36 and you get 96

hope this helps!

Answer:

3.5

Explanation:

Take any two points of the line and simply use the formula slop = y2-y1/x2-x1

Two points that I consider

(x1, y1) = (5,0)

(x2,y2) = (7,7)

Now using the above mentioned formula,

y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5

Hence slop of line is 3.5

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Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

The measurements of the trapezoid are EF = 7 units, AD = 3 units and BC = 11 units

A type of quadrilaterals having one pair of parallel sides are considered as trapezoids.

Given is a trapezoid, with midsegment = x, bases = x-4 and 2x-3

Since it is a trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 3x/2 - 7/2

2x = 3x-7

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

Hence, the measurements are EF = 7 units, AD = 3 units and BC = 11 units

Learn more about trapezoids, click;

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Answer:

904.32 ft^3

Step-by-step explanation:

Sphere Volume Formula: [tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]

Plug in the numbers:

[tex]\frac{4}{3}\pi 6^{3}[/tex]≅904.78

Answer:

4/3y

Step-by-step explanation:

Given the expression 12x^2 / 9x^2y

12x^2 / 9x^2y

= (3*4)* x * x/(3*3)*x*x*y

= 4x^2/3x^2y

= 4/3y

hence  the simplified form is 4/3y

Answer:

989 ft.

Step-by-step explanation:

7*13=91

91 is the first rectangles area.

13+6=19

19*17=323

323 is the second rectangles area.

25*23=575

575 is the third rectangles area.

575+323+91=989

Answer: 20inch

Step-by-step explanation:

Using the Pythagoras theorem:-

25^2 = 15^2 + x^2    where x = the width of the screen.

625 = 225 + x^2

x = √(625 - 225) = √400

= =  20 ins

Answer:

Associative property of addition

Answer:

B.Associative property of addiction

Step-by-step explanation:

Answer:

The values of [tex]f[/tex] and [tex]g[/tex] are, respectively:

[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]

Step-by-step explanation:

The area of the triangle ADE is:

[tex]A_{ADE} = 60\,cm^{2}-48\,cm^{2}[/tex]

[tex]A_{ADE} = 12\,cm^{2}[/tex]

The area of the triangle is defined by the following formula:

[tex]A_{ADE} = \frac{1}{2}\cdot AD\cdot DE[/tex] (1)

If we know that [tex]A_{ADE} = 12\,cm^{2}[/tex] and [tex]DE = 4\,cm[/tex], then the length of the line segment [tex]AD[/tex] is:

[tex]AD = \frac{2\cdot A_{ADE}}{DE}[/tex]

[tex]AD = 6\,cm[/tex]

And the area of the rectangle is:

[tex]A_{ABCD} = AD\cdot CD[/tex] (2)

If we know that [tex]A_{ABCD} = 48\,cm^{2}[/tex] and [tex]AD = 6\,cm[/tex], then the length of the line segment [tex]CD[/tex] is:

[tex]CD = \frac{A_{ABCD}}{AD}[/tex]

[tex]CD = 8\,cm[/tex]

Hence, the values of [tex]f[/tex] and [tex]g[/tex] are, respectively:

[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]

Answer:

{x,y} = {3,-2}

Step-by-step explanation:

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equations are given below.

5x + 7y = 1

x + 4y = -5​

Convert the equation into an intercept form. Then we have

From equation 1, then we have

5x + 7y = 1

x / (1/5) + y / (1/7) = 1

From equation 2, then we have

x + 4y = -5​

x / (-5) + y / (-5/4) = 1

The lines are drawn below.

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

More about the linear equation link is given below.

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Answer:

63.6mm

Step-by-step explanation:

According to cosine rule;

AB² = BC²+AC²-2(BC)(AC)cos m<C

Substitute the given values

AB² = 70²+40²-2(70)(40)cos 64

AB² = 4900+1600-5600cos64

AB² = 6500-5600(0.4384)

AB² = 6500-2,454.87

AB² = 4,045.12

AB = √4,045.12

AB = 63.6mm

Hence the length of AB is 63.6mm

Answer:

39

Step-by-step explanation:

11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.

Answer:

A and C

3x1/12= 3/12

3x1/2= 3/12

Answer:

5

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

         you can do this by any number, for example:

         50 / 10 =5

         10 / 2 = 5

Answer:

x = 45.6

Step-by-step explanation:

cos 58 = x/86

86 cos 58 = x

x = 45.6

You must memorize the definitions of the trig functions and these problems will be easy for you.  OK?  

For example, cos of an angle = adjacent side/hypotenuse

Answer and Step-by-step explanation:

[tex]-3y^{9}[/tex]

This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

A(5/100)=135

A=100(135)/5

A=$2700

Answer:

D

Step-by-step explanation:

5/100 = 135/x

Cross multiply

5 × x = 100 × 135

5x = 13500

Divide both sides by 5 to isolate the variable

x = 2700

$2700

Check work by plugging the x value into the equation

5/100 = 135/2700

Convert 5/100 so that it has the same denominator as the other fraction

5 × 27/100 × 27

135/2700

135/2700 = 135/2700

Do they equal?

Yes, so our answer is correct

Answer:

0.0000016

Step-by-step explanation:

(8×10^-3)×(2×10^-4)

=8×10^-3 × 2×10^-4

= (8×2) × (10^-3 × 10^-4)

=16 × 10^(-3) + (-4)

= 16 × 10^ (-3-4)

=16× 10^(-7)

= 0.0000016

Answer:

literally straight on the x axis

Answer:

#1; [tex]y = -\frac{7}{2}x+5[/tex]

Step-by-step explanation:

[tex]7x+2y=10[/tex]

[tex]2y = -7x + 10[/tex]

[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]

[tex]y = -\frac{7}{2}x + 5[/tex]

Answer:

x = 4

Step-by-step explanation:

Answer:

the answer is D hope that help

Answer:

The answer is D

Step-by-step explanation:

Answer:

2290 trees

Step-by-step explanation:

Given data

Let the total number of trees be x

62% of the total trees x is 1420 trees

mathematically

62/100x= 1420

0.62x= 1420

divide both sides by 0.62

x= 1420/0.62

x= 2290.32

To the nearest whole tree= 2290 trees

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

[tex]\dfrac{ -5}{2} < \dfrac{2n}{2} <\dfrac{6}{2}\\\\=\dfrac{ -5}{2}<n<3[/tex]

So, the values of n are less than 3 and more than (-5/2).

Part A

The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.

The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.

The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.

The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.

So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34

The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%

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Part B

We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.

We have 13-1 = 12 diamonds left out of 52-1 = 51 total.

The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%

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