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attashe74 [19]
3 years ago
5

Jay ate 2/3 of a pizza. Dan ate 4 times the amount of jay ate . How much did dan eat

Mathematics
1 answer:
erica [24]3 years ago
8 0

Answer:

Dan eat 2\frac{2}{3} pizzas

Step-by-step explanation:

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

x=\frac{2}{3} ----> equation A

y=4x -----> equation B

substitute equation A in the equation B and solve for y

y=4(\frac{2}{3})=\frac{8}{3}

Convert to mixed number

\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}

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Pls pls i need help with this
Scrat [10]

Answer:

5+8=13

5/13

Lisa's fraction is 5/13

6 0
3 years ago
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only
STALIN [3.7K]

(C) \frac{1}{3} fraction of the marbles now in the bag is blue.

<h3>What is a fraction?</h3>
  • A fraction is a portion of a whole or, more broadly, any number of equal parts.
  • In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
  • A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
  • Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find what fraction of the marbles now in the bag is blue:

  • Important information is that immediately before the last step blue marbles formed \frac{1}{5} from the marble in the bag.
  • That means that there were x blue and 4x other marbles, for some x.
  • When we double the number of blue marbles, there will be 2x blue and 4x other marbles.
  • Hence, blue marbles now form \frac{1}{3} all marbles in the bag.

Therefore, (C) \frac{1}{3} fraction of the marbles now in the bag is blue.

Know more about fractions here:

brainly.com/question/17220365

SPJ4

Complete question:

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

(A) 1/5

(B) 1/4

(C) 1/3

(D) 2/5

(E) 1/2

7 0
2 years ago
How do you solve equations that contain like terms
lina2011 [118]
To solve an equation that contains LIKE TERMS you just have to combine them together.

For example, 3x-22+2x=48.

3x-22+2x=48 Add both x's together.

5x-22=48 <this will be the answer. After that, just solve it like a regular equation.

If the equation that you're trying to solve looks like this, 5x-41=59+9x
Subtract the smallest number on both sides. 

5x-41=59+9x
-5x           -5x
-41=59+4x <this will be your answer and then you just have to solve it like a regular equation


MARK BRAINLIEST? HOPE IT HELPS. :)

3 0
3 years ago
A data includes 108 body temperature od healthy adult humans having a mean of 98.2 f and a standard deviation of .64f. Contruct
leonid [27]

Answer: ( 98.04f, 98.40f ), it is not accepted

Step-by-step explanation: the question is suggesting we construct a 99% confidence interval for mean body temperature.

The formulae for Constructing a 99% confidence interval is given below as

u = x + Zα/2 × (s/√n)........... For the upper limit

u = x - Zα/2 × (s/√n)........... For the lower limit

Where u = population mean

x = sample mean = 98.2

s = sample standard deviation = 0.64

n = sample size = 108.

Zα/2 = critical value for a 2 tailed test performed at a 1% level of significance ( 100% - 99%) = 2.58

We are making use of our z test because sample size is greater than 30 ( n = 108).

By substituting the parameters, we have that

For upper limit

u = x + Zα/2 × (s/√n)

u = 98.2 + 2.58 ( 0.64/√108)

u = 98.2 + 2.58 ( 0.0616)

u = 98.2 + 0.1589

u = 98.4

For lower limit

u = x - Zα/2 × (s/√n)

u = 98.2 - 2.58 ( 0.64/√108)

u = 98.2 - 2.58 ( 0.0616)

u = 98.2 - 0.1589

u = 98.04.

Hence the 99% confidence interval for mean temperature of human is ( 98.04f, 98.40f )

Using 98.6f as the average mean body temperature is wrong because it is out of the confidence interval calculated above.

Our confidence interval states that at 99% confidence interval, an average human temperature should be at least 98.04f and at most 98.40f.

98.6f is out of the range.

4 0
3 years ago
Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending power
aev [14]
2) (9x² - 18x - 7) / (3x + 1) 
<span>3x - 7 </span>
6 0
3 years ago
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