MATHEMATICS HIGH SCHOOL

A candy jar contains 120 pieces of candy, including 45 red candies. If the ratio of red candies to the total number of candies in the jar remains the same, how many red candies would there be in a jar containing 200 pieces of candy?

Answers

Answer 1

Answer:

Answer:

75 red candies

Step-by-step explanation:

200 candies divided by 120 = 1.666666666666667

Simply times 45 by 1.666666666666667

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25 + 8(2 + 3) Step 1 = 25 + 8 + 2 + 8 + 3 Explain the mistake Mrs. Garcia made in the first step. 2. See answers.2 answers

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36 votes:
What are the answer choices? Step one should be addition in parenthesis, 2+6, which will give ...

Answers

Answer:

Step 1 should look like this:

25 + 8 × 2 + 8 × 3

Step-by-step explanation:

25 + 8(2 + 3)

Step 1: 25 + 8 + 2 + 8 + 3

The mistake is that the 8 multiplies both numbers in parentheses.

Step 1 should look like this:

25 + 8 × 2 + 8 × 3

Solve allgebraically for x: log base 27 (2x-1)=4/3

Answers

$log_(27)(2x-1)=(4)/(3);\ \ \ \ D:2x-1 > 0\to x > (1)/(2)\n\nlog_(27)(2x-1)=log_(27)27^(4)/(3)\iff 2x-1=27^(4)/(3)\n\n2x-1=\left(\sqrt[3]{27}\right)^4\n\n2x-1=3^4\n\n2x-1=81\ \ \ /+1\n\n2x=82\ \ \ \ /:2\n\nx=41\in D$

A recipe includes 8 cups of flour and 2/3 third cups of sugar right the ratio of the amount of flour to the amount of sugar as a fraction in simplest form

Answers

Its 8:2/3, we can write it as $(8)/( (2)/(3) ) =8 *(3)/(2) = (8*3)/(2) = (24)/(2)= (12)/(1)$
Now we can back to 12:1 - its the result

Kayla paints a bookcase she uses 1 5/6 cups of paint on the outside of the bookcase and 3/8 cup of paint on the inside. How many cups of paint did Jayla use all together

Answers

Answer: Kayla used 2 5/24 cups of paint all together.

Step-by-step explanation:

Kayla paints a bookcase by using

1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.

She also used 3/8 cup of paint on the inside.

Therefore, the total number of cups of paint that Kayla used all together would be

11/6 + 3/8 = (44 + 9)/24 = 53/24 cups of paint. Converting to mixed fraction, it becomes

2 5/24 cups of paint

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈ 1.578 × 10 -^5 miles.

Answers

Answer:

7.763×10^7 inches

Step-by-step explanation:

$(1225\,mi)(1\,in)/(1.578\cdot 10^(-5)\,mi)=(12.25)/(1.578)\cdot 10^(2-(-5))\,in \approx 7.763\cdot 10^7\,in$

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

What is the sum of 2/5 and 2/4

Answers

9/10....................................

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