Dora and boots are decorating cupcakes for a bake sale. Dora already has 25 cupcakes decorated and can decorate 10 cupcakes per hour. Boots has no cupcakes decorated yet but can decorate 15 cupcakes per hour. When will Dora and boots have the same number of cupcakes decorated and how many will they have

Answer:

Step-by-step explanation:

3x and 3y are not "like terms," despite having the same coefficient.

Like terms have the same variable. For example, 3x and 2x are like terms, so

3x+2x = 5x

Answer:

41.5 units

Step-by-step explanation:

Given the data :

Month : J F M A M J J A S O N D

Inflow : 3 4 5 3 4 10 28 17 7 6 3 2

Outflow : 7 8 7 11 6 8 21 12 5 4 5 9

The unit of water in reservoir at the middle of August :

Initial unit = Unit of water at the start of the year = 50

Middle of August :

Inflow = 17 /2 = 8.5

Outflow = 12 /2 = 6

Unit of water at the middle of August :

Initial unit + Inflow - Outflow

Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5

Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74

50 + 65.5 - 74 = 41.5

Answer:

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).

This means that [tex]\mu = 5[/tex]

With a standard deviation of 0.02 mm.

This means that [tex]\sigma = 0.02[/tex]

(a) What proportion of ball bearings has a diameter more than 5.03 mm

This is 1 subtracted by the pvalue of Z when X = 5.03. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.03 - 5}{0.02}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

Answer:

For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2

Step-by-step explanation:

The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.

Answer:

meg spen $18 and betting spent $90

Step-by-step explanation:

The value of (f + g)(5) is 65

Function relates input to output . Therefore,

g(x) = w² + 7w - 7

f(x) = 4w - 8

Therefore,

(f + g) = w² + 7w - 7 + (4w - 8)

(f + g) = w² + 7w - 7 + 4w - 8

(f + g) = w² + 11w - 15

Finally,

(f + g)(5) = 5² + 11(5) - 15

(f + g)(5) = 25 + 55 - 15

(f + g)(5) = 80 - 15

(f + g)(5) = 65

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Yes this is a function because for any input value (x) you will get a unique output value (y).  

Answer:

Step-by-step explanation:

r=d÷2

Multiply both sides by 2

d=2r

Please mark brainliest.

d = 2r

Simplification means to make any equation simple or any large equations to a simple form, simplification can be done with mathematical formula and done for all operators in mathematics.

Given r = d/2

when we transfer digits to other sides of equal they change their sign,

plus tends to minus or vice versa,

and multiply tends to divide or vice versa.

so d = 2r

Hence the solution for d is 2r

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Answer:

D) [tex]\frac{(-p)}{(-3q)}[/tex]

Step-by-step explanation:

This option is the only correct one. To solve for this, insert the numbers into the equation: [tex]\frac{(-6)}{(-3x2)}[/tex]. To solve this, first multiply -3 s 2 at the denominator to get -6. Now divide -6 divided by -6 to get 1. The number 1 is greater than -9. All of the other options have answers that equal -9.

Hope it helps!

Answer:

The area is 6[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem, you'll get that half the base is [tex]\sqrt{45}[/tex], so the entire base is [tex]2\sqrt{45}[/tex]. Multiply that by the height and divide by two, you'll get that the area of this triangle is 6

Answer:

the probability that a randomly selected potential customer will purchase the product is 0.11728

Step-by-step explanation:

Given the data in the question;

by hypothesis, let the event be given as;

M = buyers sees a given magazine ad of the product

T = buyers sees a given television ad of the product

[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad

[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad

from the information given in the question;

P(M) = (2/50 ) = 0.04,  P(T) = ( 1/7) = 0.1428,  P(M∩T) = (1/100) = 0.01,

P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex]  ) = (1/10) = 0.1

now, the probability that the buyer sees the ad of the product will be;

P( M ∪ T ) = P( M) + P(T) - p( M ∩  T)

P( M ∪ T ) = 0.04 + 0.1428 - 0.01

P( M ∪ T ) = 0.1728

The probability that the buyer does not see the ad of the product will be;

P( M ∪ T )' = 1 - P( M ∪ T )

= 1 - 0.1728

= 0.8272

Now, the probability that a randomly selected potential customer will purchase the product will be;

P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex]  )P( M ∪ T )'

P(P) = (0.2)(0.1728) + (0.1)(0.8272)

= 0.03456 + 0.08272

P(P) = 0.11728

Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728

Answer:

Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will  Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.

Step-by-step explanation:

hope it helps

Answer:

18[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]

Answer:

b

Step-by-step explanation:

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Step-by-step explanation:

13.6z - 11 = -1.48.

13.6z=-1.48+11

z=9.52/13.6=0.7

Answer:

$8.75

Step-by-step explanation:

1.25 times 7 equals 8.75 so it is reduced by 8.75

Answer:

Step-by-step explanation:

x=[tex]\sqrt{12^{2} +16^{2} }[/tex]

x=20

Answer:

OBTUSE

Step-by-step explanation:

We can determine this based on the the pythagorean theorem!

[tex]a^{2}+ b^2 = c^2[/tex]

With Pythagorean Theorem, c is the longest length in the triangle... So, if c = a squared plus b squared, then it is a right triangle! If c is less, it is acute, and finally, if C is more than the two - then it is obtuse!

So let's see...

[tex]8^{2} +6^2 ? 12^2\\64 + 36 ? 144\\100 < 144[/tex]

This is an OBTUSE triangle, since c adds up to be more than a and b.

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Answer:

4

3/.75=4

divide 3 by point seven five

Answer:

the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )

Step-by-step explanation:

hope this helps have a good rest of your night/day :) ❤

Answer:

R = 1.2%

Step-by-step explanation:

Given the following data;

Principal = 425

Time = 2

Simple interest = 10.20

To find the annual interest rate;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

Substituting into the equation, we have;

[tex] 10.20 = \frac {425*R*2}{100} [/tex]

[tex] 10.20 = \frac {850R}{100} [/tex]

Cross-multiplying, we have;

[tex] 1020 = 850R [/tex]

[tex] R = \frac {1020}{850} [/tex]

R = 1.2%

Therefore, the annual interest rate is 1.2 percent.

Answer:

The answer is 12.044*10^23 molecules of H2O

Answer:

a = 8

Step-by-step explanation:

11a = 88

divide both sides by 11.

a = 8

Answer:

x=20

Step-by-step explanation:

hope this helps

Answer:

X=20

Step-by-step explanation:

enjoy! (Hope u got it right)

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

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9514 1404 393

Answer:

  (5, -8)

Step-by-step explanation:

Reflection over the y-axis negates the x-coordinate. Translation down 3 subtracts 3 from the y-coordinate. The resulting transformation is ...

  (x, y) ⇒ (-x, y-3)

  (-5, -5) ⇒ (5, -8)

The coordinates of the final point are (5, -8).