A factory uses 7/10 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3 1/2 barrels of raisins. How many batches of granola bars did the factory make yesterday?

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find [tex]x[/tex], we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.

This means that 9 should also be the side length of side AD, which we're given a value of [tex]x/3[/tex].

[tex]x/3=9[/tex]

Solve.

[tex]x=27[/tex]

Hope this helps!

Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

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Answer:

1000

Step-by-step explanation:

Answer:

20 × 50

= 1000

Although u say dividend, which is division, not too sure here

Answer:

I think its A

Step-by-step explanation:

a. The equation of the trend line is c=5x+100.

b. The equation of the trend line is c=-5x+100.

c. As the hours of training increase by 5, the greeting cards made increases by 25.

d. As the hours of training increase by 5, the greeting cards made decreases by 25.

Answer:

The slope of the line of best fit is 5.

Without any training, an employee is expected to make 100 greeting cards.

If an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.

Step-by-step explanation:

First, find the slope of the line of best fit by substituting any two points on the line into the slope formula. The following calculation uses (10,150) and (20,200).

So, the slope of the line of best fit is 5.  

The y-intercept is the point at which the line crosses the y-axis or when x = 0. So, the y-intercept of the line of best fit is 100.  

The equation of the line of best fit can be represented in slope-intercept form, where the slope, m, is 5 and the y-intercept, b, is 100.    

A slope of 5 in this situation means that for every additional hour of training, 5 more greeting cards are expected to be made per month. The y-intercept is 100 when the number of hours of training is 0. So, without any training, an employee is expected to make 100 greeting cards.  

To find the number of greeting cards an employee would produce after receiving 70 hours of training, substitute x = 70 into the equation for the line of best fit and solve for y.    

So, if an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.  

Answer:

a=2

Step-by-step explanation:

Let's solve your equation step-by-step.

2(a+1)=6

Step 1: Simplify both sides of the equation.

2(a+1)=6

(2)(a)+(2)(1)=6(Distribute)

2a+2=6

Step 2: Subtract 2 from both sides.

2a+2−2=6−2

2a=4

Step 3: Divide both sides by 2.

2a /2 = 4 /2

a=2

Answer:

37 feet below the surface or -37 ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12$-3$-3$=6 meaning they spent 6 Dollars on popcorn, and now have 6 left to spend, and with the cotton candy being $2 each, that means they bought 3 cotton candys

hope this helps!!!

Answer:

1/9

Step-by-step explanation:

You do 1/3 divided by 3 which is 1/3 times 1/3 which equals 1/9

Answer:

f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

Using that, we can use this identity

[tex] \sin(x) = \cos(y) [/tex]

where x+y=90

[tex]22f - 1 + 7f + 4 = 90[/tex]

[tex]29f + 3 = 90[/tex]

[tex]29f = 87[/tex]

[tex]f = 3[/tex]

Answer:

B.)

   6.60

   4.20

-______

Answer:

4

Step-by-step explanation:

3x + 5 > 16

3x > 16 - 5

3x > 11

x > 11 / 3

x > 3.6666...

The smallest value would be 4.

Answer:

4

Step-by-step explanation:

Given

3x + 5 > 16 ( subtract 5 from both sides )

3x > 11 ( divide both sides by 3 )

x > [tex]\frac{11}{3}[/tex] , that is

x > 3 [tex]\frac{2}{3}[/tex]

If x is an integer then the smallest value of x is 4

Answer:

7x

Step-by-step explanation:

To purchase 7 tickets at the same rate ;

Mathematically, Total Cost of an item is :

Cost = unit price * quantity

Here,

quantity = 7 tickets

Since price per ticket(rate) is the same ; then we can take rate as x

Hence, the cost of the 7 tickets is :

Quantity * rate

7 * x = 7x

Answer: The length is 13cm and the width is 7cm

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = W*L

In this case we have:

L = (2*x + 9) cm

W=(3*x + 1) cm

Then the area of the rectangle is:

A = (2*x + 9)*(3*x + 1) cm^2

A = (6*x^2 + 2*x + 27*x + 9) cm^2

A = (6*x^2 + 29*x + 9) cm^2

now we remove two squares with sides of x cm

The area of each one of these squares is (x cm)*(x cm)  = x^2 cm^2

Then the area of the figure will be:

area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2

area = (4*x^2 + 29*x + 9) cm^2

Now we know that the area of this shape is 83 cm^2, then we need to solve:

83 cm^2 = (4*x^2 + 29*x + 9) cm^2

0 =  (4*x^2 + 29*x + 9) cm^2 - 83 cm^2

0 = (4*x^2 + 29*x - 74) cm^2

Then we need to solve:

0 = 4*x^2 + 29*x - 74

Here we can use Bhaskara's equation, the solutions of this equation are given by:

[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)} }{2*4} = \frac{-29 \pm 45}{8}[/tex]

Then the two solutions are:

x = (-29 - 45)/8 = -9.25  (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).

The other solution is:

x = (-29 + 45)/8 = 2

x = 2

Then the length and width of the rectangle are:

Length = (2*2 + 9)cm = 13 cm

Width = (3*2 + 1)cm = 7cm

Answer:

Obtuse

Step-by-step explanation:

One of the angles is above 90 degrees

Answer:

Its not acute or right.

It’s the size of obtuse

No idea what equilateral

Answer:

slope is -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let ( x1 , y1) = ( -4 ,1 )

(x2 , y 2) = ( -2 , -1 )

Now

slope (m)

= ( y2 - y1) / (x2 -x1)

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

= -2 /2

= - 1

Hope it helps :)

Answer:

Step-by-step explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

For the given equation the vertex is:

The value of y at x = 2 is:

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D

Answer:

La cantidad que Javier paga como impuesto, A es de 1.200 €

La cantidad que Antonio paga como impuesto, B es 900 €

El importe que paga Elvira como impuesto, C es de 1.000 €

Step-by-step explanation:

Dejemos que 'A', 'B' y 'C', representen la cantidad que pagan Javier, Antonio y Elvira respectivamente, y que 'k' represente la constante de proporcionalidad, por proporcionalidad inversa, tenemos;

A = k / 1500, B = k / 2000, C = k / 1800

A + B + C = 3100

∴ k / 1500 + k / 2000 + k / 1800 = 3100

Simplificando la ecuación anterior usando una calculadora gráfica da;

31 · k / 18 000 = 3100

k = 18.000 × 3.100 / 31 = 1.800.000

k = 1.800.000

La cantidad que Javier paga como impuesto, A = 1.800.000 / 1.500 = 1.200

La cantidad que Antonio paga como impuesto, B = 1.800.000 / 2.000 = 900

La cantidad que paga Elvira como impuesto, C = 1.800.000 / 1.800 = 1.000

Answer: Rizza got a profit of Php 67.20---B

Step-by-step explanation:

Profit  = Selling Price  - Cost Price

But

Selling price =Php10.00 x 24=240Php

Cost Price =Php172.80

Therefore,

Profit=Php240 -Php172.80

=Php 67.20

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

c^2=a^2+b^2 ( where c is the hypotenuse and a and b are the legs of a right triangle)

c^2=15^2+8^2

c^2=225+64

c^2=289

c=17 feet

Answer:

3168 cm³

Step-by-step explanation:

From the question,

The volume of the rectangular tank = Length×width×heigth

V = lwh.................... Equation 1

Where l = length, w = width, h = heigth.

Given: l = 22 cm, w = 9 cm, h = 16 cm

Substitute these values into equation 1

V = 22×9×16

V = 3168 cm³

Hence the volume of the rectangular tank is 3168 cm³

Answer: B

Step-by-step explanation:

you use the coordinates to find the sides

Answer:

√{32×32×4}=√{32²×2²}=±(32×2)=±64

Answer:

64 will be your answer

Step-by-step explanation:

......

Answer:

Then maybe pay attention in class and know what to do and not ask strangers for help. We answer to try and help. Not like we get paid. We literally are just trying to help

Lindsey and Justin must survey a random selection of two girls and two boys for each 7th grade class to get the most accurate results, so the correct choice is B.

This is so because, since precise information is required regarding a particular group of students (7th graders), it would be correct to target members of that group to obtain the first samples of information.

That is, by going to the most reliable source, a more reliable sample would be obtained.

Learn more about statistics in https://brainly.com/question/11161989

Answer:

0.166667 - Common Ratio

step by step

Formula Used: Common Ratio=First term/Consecutive Term

Calculation: 0.166667=(-14)/(-84)