Algebra Questions

List the numbers in the given set that are whole numbers 13 5 5 7 0 12 1 42 x 6 Select all that apply A 0 C 5 E T G 7 6 00 B 5 D 13 2 F 1 42 H There are no whole num

Use the number 33 a List all the prime numbers that must be checked for divisibility b Determine whether the number is prime or composite a Choose the correct answer below OA 2 3 5 7 8 OB 2 3 5 OC 2 3 D 2 3 5 6

List all elements of the set Select all that apply A 0 C 10 E 9 9 0 10 5 73773777 that are also elements of the set of natural numbers 3 B 5 73773777 D 8 3 F No elements in the set are in the set of natural numbers

Fill in the blank Real numbers that can be represented with a terminating or repeating decimal are called

Find the prime factorization of 322

Step by Step Solution Step 1 Find the least common denominator of the fractions Find the least common denominator LCD of the rational numbers and Then rewrite each rational number with the LCD 50 9 50 11 1 14 Write each denominator as the product of prime factors

For the following division ladder a Fill in the factor tree to complete each problem b Express the original number as a product of the prime factors 495 a 3 33 33 495 3 Simplify your answers 5 5

Write the fraction as a decimal rounded to the nearest hundredth 14 14 3

Write the decimal as a fraction in lowest terms 0 718 0 718 Type an integer or a simplified fraction

Write the fraction in lowest terms 115 105 115 105

7 Vrite the fractions and 11 7 7 as equivalent fractions with the least common denominator 13

Simplify the fraction to lowest terms 10 35

Write the fractions 1 w and 8 as equivalent fractions with the least common denominator 27

Write the fraction as a decimal Choose the correct answer b OA 0 3 B 0 333 OC 0 3 OD 0 03

Round the given number to the nearest hundredth 561 009

Round the decimal to the given place value 0 2715 nearest tenth pun 2715 round

Tell the place value of the digit in the given number 593 16 the 1 In the number 593 16 the digit 1 is in the place

Write the fraction in lowest terms 245 80 Select the correct choice below and fill in any answer boxes within your che O A www 245 The fraction written in lowest terms is 80 Simplify your answer Type an integer or a fraction 245 B The fraction is already in lowest terms 80

Rewrite the fraction 1 1 with 12 as the denominator 2

Write the fractions 1 9 and 7 as equivalent fractions with the least common denominator 33 7 33 Type integers or fractions

K Rewrite the fraction 3 3 with 24 as the denominator 4

You take a 60 day single payment loan with an interest rate of 14 on 815 What is the amount of the maturity value 833 76 836 67 O 842 33

26 A plumber and two helpers together earned 360 a day How much did each earn in a day if the plumber earned 4 times as much as each helper

Find the least common multiple LCM of the following number 20 50 and 30 The LCM of 20 50 and 30 is

Step 1 Write each number as the product of prime factors aligning common factors vertically 14 77 Type your answer in factored form

12 Let A 1 Find a diagonal matrix D and an invertible matrix P such that A P DP 2 Use the factorization A P DP to compute the power matrix A where k represents an arbitra positive integer

In an all boys school the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 2 5 inches What percentage of the students are between 65 and 72 inches tall to the nearest tenth Watch Video Statistics Calculaton Show Examples

A surveyor places poles at points A B and C in order to measure the distance across a pond The distances AC and BC are measured as shown to the right Find the distance AB across the pond The distance AB across the pond is about yd Type an integer or decimal rounded to the nearest tenth as needed 44 yd

A formula that is used when designing AC alternating current circuits is 1 10 12 2 0 fo 2 LC Rationalize the right hand side and restate the formula

How much money will there be in an account at the end of 4 years if 16000 is deposited at 3 compounded semi annually Assume no withdrawals are made How much money will there be in the account at the end of 4 years Round to the nearest cent

3 4 2 4 3 4 2 4 Simplify your answer Type an exact answer using radicals as neec

full An object is thrown upward at a speed of 80 feet per second from a height of 90 feet off the ground following the path indicated by the red parabola The height h of the object after t seconds can be found using the equation h 16t 2 80 t 90 When will the height be 110 feet blue line Note that there are two times when this happens Enter your answers as decimals rounded to the nearest tenth of a second First time t Second time t When will the object reach the ground Enter your answer as a decimal rounded to the nearest tenth of a second t

Convert the following expression to exponential notation 11 5 11 11 11 Type exponential notation with positive exponents Type an exact an

Two shops rent canoes for a rental fee plus a fee per hour How many hours must a canoe be rented for the total costs to be the same Shop A Rental fee 8 Hourly fee 7 Shop B Previous Rental fee 2 Hourly fee 9 The total costs are the same when a canoe is rented for hours Ne

Translate the sentence into an equation using n to represent the unknown number Then solve the equation for n a number subtracted from 46 is 21 a b C d 46 2 21 72 67 46 21 72 72 67 46 21 22 72 25 46 2 21 72 75

Ive the equation below Check your solution s and clea x 2 4x 12 x 2 x 4 x 6x 8

If f x what is the value of f 4 to the nearest thousandth if necessary 17m

Calculate acute angles only without a calculator 5 1 1 If sin Asin B the values of and B 5 1 2 If sin A 1 2 then 5 1 3 If sin A cos B the values of and B

Determine a and find the indicated term of the following geometric sequences 3 points for a 1 point for the indicated term 6 3 15 75 375 an as 7 a3 36 as 324 an

12 1 point Alex originally paid 5200 for her car 1 year ago The value of her car now is 4 420 What is the percent of decrease in the value of her car 44 10 8 15

1 point A health research fund drive has raised 18 700 That is 22 of the goal What is the goal 1 914 187 000 85 000 411 400

1 point You are building a tree house and have bought plans online However the plans are in metric units and your tape measure only has feet The plans say the base of he square tree house should be 3 5 meters How many feet is that round to the nearest hundredth 74 feet 11 48 feet 5 39 feet 21 64 feet

10 1 point To attract business the manager of a sports equipment store decreased the price of a hockey stick from 500 to 440 What was the percent of decrease 20 15 12 60

9 1 point A cereal company used to fill the boxes with 16 ounces of cereal They have reduced that amount to 14 ounces The percent decrease is 87 5 True False

Your fitness tracker says you ran 2 640 yards on your most recent run How many miles is that 1 3 miles 2 miles 1 5 miles 1 mile

1 1 point The appropriate translation of the phrase 11 more than 20 percent of a number is 0 2n 11 True False

1 point The oil tank in your car is leaking at a rate of 1 2 oz per mile driven You drove 15 miles over to your grandma s house How many cups of oil did your car leak 18 cups 2 25 cups 144 cups 2 cups Previour

4 1 point Evaluate if t 2 and x 3 3 2x t 102 30 12 48 Previous

3 1 point Translate the phrase into an expression 11 more than one third of a number On 11 n 11 3n 11 11 3n Previous

2 1 point A rectangle has a length of 7 and a width of w What is an expression for the perimeter 7 w 7 2w 14 2w 14 4w