A baker has a 20-kg bag of raisins. One-eighth of the bag is used in each batch of cookies. How much is used for 5 batches?

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

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

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Answer:

17.1 cm

Step-by-step explanation:

A screw driver is a mechanical tool or device which is mainly used for screwing the screws and unscrewing them. It is also used for removing the nuts and bolts and also serves a variety of uses.

It is typically made of steel and has a handle and a shaft which ends as a tip.

In the context, the length of the screw driver from the given figure expressed to the nearest tenth of a centimeter is 17.1 cm.

It is also equivalent to [tex]$6\frac{3}{4}$[/tex] inch.

Answer:

5 2/5 seems right to me

Step-by-step explanation:

filler filler filler

Answer:

(a)  12.96 ft²

(b)  21.5 in²

Step-by-step explanation:

(a) For the first diagram

Area of the shaded region (A) = Area of Tripezium- area of circle

A = [1/2(a+b)h]-[πr²]............... Equation 1

Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.

From the diagram,

Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.

Constant: π = 3.14

Substitute these values into equation 1

A = [12(15+6)/2]-(3.14×6²)

A = 126-113.04

A = 12.96 ft²

(b) For the second diagram,

Area of the shaded region (A') = Area of square- area of circle

A' = (L²)-(πr²)............. Equation 2

Where L = lenght of one side of the square, r = radius of the circle

From the diagram,

Given: L = 2r = (2×5) = 10 in, r = 5 in

Substitute these values into equation 2

A' = (10²)-(3.14×5²)

A' = 100-78.5

A = 21.5 in²

Answer:

the first one is 10

the second one is 12.65

Step-by-step explanation:

hope this will help u

Hello there!

Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].

For problem number 7, we plug 6 and 8 in for a and b. Like this:

[tex]6^{2} + 8^{2} = c^{2}[/tex]

Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.

64 + 36 = 100

Then, we take the square root of 100 to get c.

[tex]\sqrt{100} = 10[/tex]

(There's something special about this triangle. If you want I'll tell you about it in the comments.)

For problem number 8, we do the same exact thing.

[tex]4^{2} + 12^{2} = c^{2}[/tex]

[tex]4^{2} = 16[/tex]  and  [tex]12^{2} = 144[/tex]

[tex]144 + 16 = 160[/tex]

[tex]\sqrt{160} = 8\sqrt{10}[/tex]

I hope this helps!!

Answer:

For the first one it is 5x+2

Step-by-step explanation:

(9x+5) - (4x+3) = ?

First you minus the x's together so,

9x-4x which would equal 5x

then you minus the 5 and 3 together so,

5-3 which would equal 2

then you put the 5x and the 2 together and you get

5x+2 :-)

For the rest of the problems, use this as an example!

Answer:

-21x-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Number of rainy days = 18

Number of cloudy days = 14

Number of sunny days = 29

Therefore,

Number of days either sunny or cloudy = 14 + 29 = 43

So,

Number of more days sunny or cloudy than rainy are

= 43 - 18 = 25

Hence,

Option C 25 is the correct answer.

Answer:

I think the surface area is 382.

Step-by-step explanation:

Hey there!

In (a) part we can see that a person delivers approximately 120 newspapers in 3 hours. Kate will deliver 30 × 3 = 90 newspapers. So, (a) part is the answer.

In (b) part, a person delivers 40 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers. So, Kate is faster, (b) option cancelled.

In (c) a person delivers 110 newspapers in 4.5 hours. Kate will deliver 30 × 4.5 = 135 papers, that's again greater. Option (c) cancelled.

Option (d), we can easily cancel it out. But I'm showing the work; a person delivers 20 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers, much faster than the person.

Hence option (a) is the answer.

Hope it helps :)

Answer:

kg

Step-by-step explanation:

1pound is 0.45kg

Answer:

Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

<1 = 33

<2 = 90

<3 = 57

Step-by-step explanation:

<3 = 57 because of alternate interior angles

<2 + <3 + 33 = 180

<2 + 57 + 33 = 180

<2 + 90 = 180

<2 = 90

<1 + <2 + 57 = 180

<1 + 90 + 57 = 180

<1 + 147 = 180

<1 = 33

Answer:

it'll take 15h for her to drive 1125 miles

Step-by-step explanation:

take 225 ÷ 3 then you get how many miles she drives in an hour which is 75

75 × 15 = 1,125

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

Answer:

Your answer is 8.06.

Step-by-step explanation:

Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:

a² + b² = c²

Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.

a is going to be your smallest leg, so in this case a = 4.

b is going to be your longest leg, so it is b = 7.

Now, you don't know what c yet is so you simply write it as:

4² + 7² = c²

Do the exponents.

16 + 49 = c²

Add.

65 = c²

Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.

√65 = √c2

Once you do that, you have your answer!

8.0622577483 = c

Now just simplify and you're done :)

8.06

Might sound hard now but you'll get the hang of it.

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

Answer:

3.594417e+19

Step-by-step explanation:

Answer:

I will make sure he doesnt run out for you.

Step-by-step explanation:

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

Answer:

Kim shears 1560 sheep in 26 days.

Her rate per day is 60.

Step-by-step explanation:

For 26 days:

[tex]\frac{5}{300} =\frac{26}{x} \\\\5x=7800\\x=1560[/tex]

For per day:

[tex]\frac{5}{300} =\frac{1}{x} \\\\5x=300\\x=60[/tex]

Answer:3

Step-by-step explanation:

12/4 = 3

Answer:

6.8*10^3

Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

None

Step-by-step explanation:

There is a solution when the two lines intersect, because the lines have the same slope (and different y intercepts) they will never intersect. Therefore there are no solutions

Answer:

30

Step-by-step explanation:

Let the amount of money Taylor spent = x

The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.

Hence

1/5 × x = 6 jeans

x/5 = 6 jeans

Cross Multiply

x = 5 × 6 jeans

x = 30

The amount of money Taylor spent = 30

Answer:

Total pencils: 17

Total rulers: 15

Step-by-step explanation:

"I will buy 15 pencils."

15 * 8p = £1.20

15 pencils

"Then I will buy as many rulers as possible."

£5 - £1.20 = £3.80

£3.80/30p = 12 remainder 20p

12 rulers

"With my change, I will buy more pencils.”

20p/8p = 2 remainder 4 p

2 pencils

Total pencils: 17

Total rulers: 15