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Bogdan [553]
2 years ago
8

Rachel offers to go to the bakery to buy cookies and cupcakes

Mathematics
1 answer:
strojnjashka [21]2 years ago
3 0

Answer:

5 cookies, 4 cupcakes

Step-by-step explanation:

3.75x+4.25y=35.75

x+y=9

x=9-y

3.75(9-y)+4.25y=35.75

33.75-3.75y+4.25y=35.75

0.5y=2

y=4

x=9-4=5

You might be interested in
Subtract 8 feet from 9 yards, 1 foot
BabaBlast [244]

Answer:

20 feet

Step-by-step explanation:

(9 yards 1 foot)-(8 feet) =  20

6 0
2 years ago
15 points!!!
r-ruslan [8.4K]

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

\frac{1}{1}\neq \frac{1}{2}

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

6 0
2 years ago
Read 2 more answers
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random
Harlamova29_29 [7]

Answer with explanation:

Given : Sample mean =\overline{x}=\text{48.47 pounds}

Standard deviation : \sigma=\text{ 3.1 pounds.}

Sample size : n = 36

Claim : \mu\neq50

∴ H_0:\mu=50

H_1:\mu\neq50

Since the alternative hypothesis is two tail , then the test is two tail test.

By using a z statistic and a 0.05 level of significance. Reject  H_0 if z < -1.960 or is z> 1.960.

Then , the test static for population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

z=\dfrac{48.47-50}{\dfrac{3.1}{\sqrt{36}}}\approx-2.96

We reject H_0 since -2.96\leq -1.96. We have statistically significant evidence at \alpha=0.05 to show that the mean amount of garbage per bin is not different from 50.  

5 0
2 years ago
The two circles shown above have radii of 8 in. and 4 in. What is the Circumference of the both?
Dmitry [639]

Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Step-by-step explanation:

Radius of circle 1 = 8 inches

Radius of circle 2 = 4 inches

We need to find circumference of both circles.

The formula used to find the value of circumference is:

Circumference=2\pi r

Finding Circumference of Circle 1:

Radius = 8 inches

π = 3.14

Putting values and finding circumference

Circumference=2\pi r

Circumference=2*3.14*8

Circumference=50.24\,\,inches

Finding Circumference of Circle 2:

Radius = 4 inches

π = 3.14

Putting values and finding circumference

Circumference=2\pi r

Circumference=2*3.14*4

Circumference=25.12\,\,inches

So, Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Keywords: Circumference of Circle

Learn more about Circumference of Circle at:

  • brainly.com/question/2115496
  • brainly.com/question/3055705
  • brainly.com/question/5998244

#learnwithBrainly

6 0
2 years ago
Yi is running for class president. To try to predict how people will vote, she wants to take a poll with a 90% confidence level
slega [8]
90The information that you'd need in determining sample size when the standard deviation is unknown is:

z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645

The margin error (E) = 4%

The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.

The probability of not success is q = 1 - 0.5 = 0.5

STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02

STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25

STEP 3: 
Divide z-score by half of E = 1.645 ÷ 0.02 = 82.25
Then square the answer = 82.25² = 6765 rounded to the nearest integer)

STEP 4: 
Multiply the answer from STEP 2 by the answer from STEP 4
0.25 × 6765 = 1691 (rounded to the nearest integer)

Answer: Minimum Sample Size is 1691
8 0
2 years ago
Read 2 more answers
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