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irina1246 [14]
2 years ago
6

... Stella uses the expression 0.40a, where a is the original attendance at a play, to find the reduced attendance at the next p

erformance. Which is an equivalent expression?
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
8 0

The expression that is equivalent to 0.40a is \frac 25a

<h3>What are equivalent expressions?</h3>

Equivalent expressions are expressions that have equal values, when evaluated or simplified

The expression is given as:

0.40a

Rewrite the above expression as a fraction

\frac 4{10}a

Simplify the fraction

\frac 25a

Hence, an equivalent expression of 0.4a is \frac 25a

Read more about equivalent expressions at:

brainly.com/question/2972832

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A carrot has
4vir4ik [10]

Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

D- The amount of sugar in two servings of carrots is 30 grams.

<u><em>Verify each statement</em></u>

A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 5 servings of banana there are 5(15)=75 grams of sugar

therefore

50 g < 75 g

B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

3:1

therefore

An equal number of servings, the bananas will have three times as much sugar

C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

so

50+10\neq 150

D- <u>The amount of sugar in two servings of carrots is 30 grams</u>

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

10\neq 30

3 0
3 years ago
Can someone help me with number 8?
Hoochie [10]

Answer:

Step-by-step explanation:

I cant really see it post it again

6 0
2 years ago
1. Jack and Jill purchased a $125,000 house making a 20% down payment and paying the closing
kherson [118]

Answer:

The month payment amount is $897.589

Interest amount is $61,566

Step-by-step explanation:

Given as :

The price of the house = $125,000

The down payment amount for house = 20% of total price

i.e The down payment amount for house = 20% × $125,000

Or, The down payment amount for house = \dfrac{20}{100} × $125,000

Or, The down payment amount for house = $25,000

Now, Balance amount = total price - down payment

Or, Balance amount = $125,000 - $25,000

Or, Balance amount = $100,000

So, The balance amount is bring finance

The finance principal amount = p = $100,000

The rate of interest applied = r = 3.25%

The time period of mortgage = t = 15 years = 15 × 12 = 180 months

Let The Amount of mortgage after 15 years = $A

<u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $100,000 × (1+\dfrac{\textrm 3.25}{100})^{\textrm 15}

Or, A = $100,000 × (1.0325)^{15}

Or, A = $100,000 × 1.61566

Or, A = $161,566

So,The Amount of mortgage after 15 years = $161,566

Interest applied = Amount - principal

Or, I = $161,566 - $100,000

∴ Interest = $61,566

<u>Again</u>

The month payment amount = \dfrac{\textrm amount after 15 years}{number of months of mortgage}

i.e The month payment amount = \dfrac{161566}{180}

Or, The month payment amount = $897.589

Hence The month payment amount is $897.589 and interest amount is $61,566  . Answer

6 0
3 years ago
Need help solving systems of equations with 3 variables
DochEvi [55]
Once you start working problems like these, it pays to get an appropriate calculator.
.. (x, y, z) ≈ (248.01, 43.63, 88.34) . . . . rounded to 2 decimal places

_____
The attempt to convert these to fractions with denominators less than 9999 failed.

5 0
3 years ago
Walter’s history test scores and Janine’s history test scores are shown on the dot plots below.
gogolik [260]

Using the dot plot and statistical concepts, it is found that the correct option is:

  • Their means will be most affected because this value will be an outlier.

<h3>What is a dot plot?</h3>
  • The dot plot shows the <u>number of times each measure appears in the data-set.</u>

In this problem, for both Walter and Janine, the dot plots are cluster between 80 and 90, which means that their grades are in this range.

  • Hence, for both, a grade of 65 would be an outlier, and the measure that is most affected by outliers is the mean.

Hence, the correct option is:

  • Their means will be most affected because this value will be an outlier.

You can learn more about dot plot at brainly.com/question/24912483

8 0
2 years ago
Read 2 more answers
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