A bakery used 37% more chocolate chips this month than last month. If the bakery used 320 pounds of chocolate chips last month, how much did it use this month?

Answer:

1.84

Step-by-step explanation:

First you solve what is in the parenthesis.

60 - 5.8 = 54.2

The equation is now 54.2 ÷ 5 - 3^2

Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.

Your equation is now 54.2 ÷ 5 - 9

You then divide 54.2 ÷ 5

54.2 ÷ 5 = 10.84

The last equation is 10.84 - 9

10.84 - 9 = 1.84

Answer:

Answer 1.84.

Step-by-step explanation:

The first person's answer and explanation is correct.

Answer:

C

Step-by-step explanation:

Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅

We come up to the conclusion of C

Answer:

[tex]Area= 36g^6h^{10}[/tex]

Step-by-step explanation:

Given

[tex]Length = 6g^3h^5[/tex]

Required

Determine the area as a monomial

This is calculated as:

[tex]Area = Length * Length[/tex]

[tex]Area= 6g^3h^5*6g^3h^5[/tex]

This can be rewritten as:

[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]

Apply law of indices

[tex]Area= 36*g^6*h^{10}[/tex]

[tex]Area= 36g^6h^{10}[/tex]

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Answer:

5

Step-by-step explanation:

9p-5

9(5)-5

45-5

40

(3+p)5

(3+5)5

(8)5

40

Answer:

8.7

Step-by-step explanation:

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

For more about the equation,

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Answer:

[tex]Area = 455.11\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Patches = 8\ by\ 8[/tex]

[tex]Length = 2\frac{2}{3}\ in[/tex] each

Required

The area of the quilt

First, calculate the length of the quilt.

[tex]Length = 8 * 2\frac{2}{3}[/tex]

[tex]Length = 8 * \frac{8}{3}[/tex]

[tex]Length = \frac{64}{3}[/tex]

Next, the width

[tex]Width= 8 * 2\frac{2}{3}[/tex]

[tex]Width= 8 * \frac{8}{3}[/tex]

[tex]Width = \frac{64}{3}[/tex]

The area is then calculated using:

[tex]Area = \frac{64}{3} * \frac{64}{3}[/tex] i.e. Length * Width

[tex]Area = \frac{4096}{9}in^2[/tex]

[tex]Area = 455.11\ in^2[/tex] --- approximated

Answer:

24

Step-by-step explanation:

Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]

Which is 49 + b = 625

Subtract the difference 625 - 49. then you get the following

b = 576

Finally find the square root of this number and that's your answer: 24

Answer:

by using Pythagoras law

third side =√(25²-7²)=24

It is true that if data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.

The standard deviation is a measure of spread.

And the more the standard deviation, the more the spread

This means that if the dataset A has a larger standard deviation than the dataset B, then the dataset A is more spread out than B

Hence, the given statement is true

Read more about standard deviation at:

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Answer:

1439.4702≈1439

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

Answer:

39

Step-by-step explanation:

13 x 3?

Answer:

i cant estimate it but i think 4

[tex](x - a)(x - b)[/tex]

Step-By-Step Explanations:

1) Factor out the common term in the first two terms, then in the last two terms.

[tex]x(x - a) - b(x - a)[/tex]

2) Factor out the common term x - a.

[tex](x - a)(x - b)[/tex]

Therefor, the answer is ( x - a ) ( x - b ).

Answer:

x=6

Step-by-step explanation:

6x+4=2x+28

4x=24

x=6

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Answer:

x^2 + (y + 6)^2 = 4^2

Step-by-step explanation:

The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

If the center is at (0, -6) and the radius is 4, then the desired equation is

(x - 0)^2 + (y + 6)^2 = 4^2, or just

x^2 + (y + 6)^2 = 4^2

Answer:

1, 2

Step-by-step explanation:

the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.

Answer:

n = 15

Step-by-step explanation:

A straight line equals 180 degrees

Angle SWT is congruent to angle XWV meaning:

SWT (55 degrees) = XWV (55 degrees)

Set up an equation:

3n + 80 + 55 = 180

Combine like terms

3n + 135 = 180

Subtract both sides by 135 to isolate variable n

3n = 45

Divide both sides by 3 to isolate variable n

n = 15

Answer:

If my calculations are correct, $5415.75 of interest was paid throughout 6 years.

Step-by-step explanation:

7.25% of 12,450 is 902.625.

If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.

In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.

Hope this helps.