1.10 Systems of measurement  (Page 12/13)

 Page 12 / 13

$37.5+12.23$

$-4.2+\left(-9.3\right)$

−13.5

$-8.6+\left(-8.6\right)$

$100-64.2$

35.8

$100-65.83$

$2.51+40$

42.51

$9.38+60$

Multiply and Divide Decimals

In the following exercises, multiply.

$\left(0.3\right)\left(0.4\right)$

0.12

$\left(0.6\right)\left(0.7\right)$

$\left(8.52\right)\left(3.14\right)$

26.7528

$\left(5.32\right)\left(4.86\right)$

$\left(0.09\right)\left(24.78\right)$

2.2302

$\left(0.04\right)\left(36.89\right)$

In the following exercises, divide.

$0.15÷5$

0.03

$0.27÷3$

$8.49÷12$

$0.71 $16.99÷9$ $12÷0.08$ 150 $5÷0.04$ Convert Decimals, Fractions, and Percents In the following exercises, write each decimal as a fraction. 0.08 $\frac{2}{25}$ 0.17 0.425 $\frac{17}{40}$ 0.184 1.75 $\frac{7}{4}$ 0.035 In the following exercises, convert each fraction to a decimal. $\frac{2}{5}$ 0.4 $\frac{4}{5}$ $-\phantom{\rule{0.2em}{0ex}}\frac{3}{8}$ $-0.375$ $-\phantom{\rule{0.2em}{0ex}}\frac{5}{8}$ $\frac{5}{9}$ $0.\stackrel{\text{–}}{5}$ $\frac{2}{9}$ $\frac{1}{2}+6.5$ 7 $\frac{1}{4}+10.75$ In the following exercises, convert each percent to a decimal. 5% 0.05 9% 40% 0.4 50% 115% 1.15 125% In the following exercises, convert each decimal to a percent. 0.18 18% 0.15 0.009 0.9% 0.008 1.5 150% 2.2 The Real Numbers Simplify Expressions with Square Roots In the following exercises, simplify. $\sqrt{64}$ 8 $\sqrt{144}$ $\text{−}\sqrt{25}$ −5 $\text{−}\sqrt{81}$ Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers In the following exercises, write as the ratio of two integers. 9 8.47 $\frac{9}{1}$ $\frac{847}{100}$ $-15$ 3.591 In the following exercises, list the rational numbers, irrational numbers. $0.84,0.79132\text{…},1.\stackrel{\text{–}}{3}$ $0.84,1.\stackrel{\text{–}}{3}$ $0.79132\text{…},$ $2.3\stackrel{\text{–}}{8},0.572,4.93814\text{…}$ In the following exercises, identify whether each number is rational or irrational. $\sqrt{121}$ $\sqrt{48}$ rational irrational $\sqrt{56}$ $\sqrt{16}$ In the following exercises, identify whether each number is a real number or not a real number. $\sqrt{-9}$ $\text{−}\sqrt{169}$ not a real number real number $\sqrt{-64}$ $\text{−}\sqrt{81}$ In the following exercises, list the whole numbers, integers, rational numbers, irrational numbers, real numbers for each set of numbers. $-4,0,\frac{5}{6},\sqrt{16},\sqrt{18},5.2537\text{…}$ $0,\sqrt{16}$ $-4,0,\sqrt{16}$ $-4,0,\frac{5}{6},\sqrt{16}$ $\sqrt{18},5.2537\text{…}$ $-4,0,\frac{5}{6},\sqrt{16},\sqrt{18},5.2537\text{…}$ $\text{−}\sqrt{4},0.\stackrel{\text{—}}{36},\frac{13}{3},6.9152\text{…},\sqrt{48},10\frac{1}{2}$ Locate Fractions on the Number Line In the following exercises, locate the numbers on a number line. $\frac{2}{3},\frac{5}{4},\frac{12}{5}$ $\frac{1}{3},\frac{7}{4},\frac{13}{5}$ $2\frac{1}{3},-2\frac{1}{3}$ $1\frac{3}{5},-1\frac{3}{5}$ In the following exercises, order each of the following pairs of numbers, using<or>. $-1___-\phantom{\rule{0.2em}{0ex}}\frac{1}{8}$ < $-3\frac{1}{4}___-4$ $-\phantom{\rule{0.2em}{0ex}}\frac{7}{9}___-\phantom{\rule{0.2em}{0ex}}\frac{4}{9}$ > $-2___-\phantom{\rule{0.2em}{0ex}}\frac{19}{8}$ Locate Decimals on the Number Line In the following exercises, locate on the number line. $0.3$ $-0.2$ $-2.5$ 2.7 In the following exercises, order each of the following pairs of numbers, using<or>. $0.9___0.6$ > $0.7___0.8$ $-0.6___-0.59$ > $-0.27___-0.3$ Properties of Real Numbers Use the Commutative and Associative Properties In the following exercises, use the Associative Property to simplify. $-12\left(4m\right)$ $-48m$ $30\left(\frac{5}{6}q\right)$ $\left(a+16\right)+31$ $a+47$ $\left(c+0.2\right)+0.7$ In the following exercises, simplify. $6y+37+\left(-6y\right)$ 37 $\frac{1}{4}+\frac{11}{15}+\left(-\phantom{\rule{0.2em}{0ex}}\frac{1}{4}\right)$ $\frac{14}{11}·\frac{35}{9}·\frac{14}{11}$ $\frac{35}{9}$ $-18·15·\frac{2}{9}$ $\left(\frac{7}{12}+\frac{4}{5}\right)+\frac{1}{5}$ $1\frac{7}{12}$ $\left(3.98d+0.75d\right)+1.25d$ $11x+8y+16x+15y$ $27x+23y$ $52m+\left(-20n\right)+\left(-18m\right)+\left(-5n\right)$ Use the Identity and Inverse Properties of Addition and Multiplication In the following exercises, find the additive inverse of each number. $\frac{1}{3}$ $5.1$ $-14$ $-\phantom{\rule{0.2em}{0ex}}\frac{8}{5}$ $-\phantom{\rule{0.2em}{0ex}}\frac{1}{3}$ $-5.1$ 14 $\frac{8}{5}$ $-\phantom{\rule{0.2em}{0ex}}\frac{7}{8}$ $-0.03$ $17$ $\frac{12}{5}$ In the following exercises, find the multiplicative inverse of each number. 10 $-\phantom{\rule{0.2em}{0ex}}\frac{4}{9}$ 0.6 $\frac{1}{10}$ $-\phantom{\rule{0.2em}{0ex}}\frac{9}{4}$ $\frac{5}{3}$ $-\phantom{\rule{0.2em}{0ex}}\frac{9}{2}$ $-7$ 2.1 Use the Properties of Zero In the following exercises, simplify. $83·0$ 0 $\frac{0}{9}$ $\frac{5}{0}$ undefined $0÷\frac{2}{3}$ In the following exercises, simplify. $43+39+\left(-43\right)$ 39 $\left(n+6.75\right)+0.25$ $\frac{5}{13}·57·\frac{13}{5}$ 57 $\frac{1}{6}·17·12$ $\frac{2}{3}·28·\frac{3}{7}$ 8 $9\left(6x-11\right)+15$ Simplify Expressions Using the Distributive Property Questions & Answers The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. Edi Reply Tickets for a show are$70 for adults and $50 for children. For one evening performance, a total of 300 tickets were sold and the receipts totaled$17,200. How many adult tickets and how many child tickets were sold?
A 50% antifreeze solution is to be mixed with a 90% antifreeze solution to get 200 liters of a 80% solution. How many liters of the 50% solution and how many liters of the 90% solution will be used?
June needs 45 gallons of punch for a party and has 2 different coolers to carry it in. The bigger cooler is 5 times as large as the smaller cooler. How many gallons can each cooler hold?
Washing his dad’s car alone, eight-year-old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it take the Levi’s dad to wash the car by himself?
Bruce drives his car for his job. The equation R=0.575m+42 models the relation between the amount in dollars, R, that he is reimbursed and the number of miles, m, he drives in one day. Find the amount Bruce is reimbursed on a day when he drives 220 miles.
LeBron needs 150 milliliters of a 30% solution of sulfuric acid for a lab experiment but only has access to a 25% and a 50% solution. How much of the 25% and how much of the 50% solution should he mix to make the 30% solution?
5%
Michael
hey everyone how to do algebra
Felecia answer 1.5 hours before he reaches her
I would like to solve the problem -6/2x
12x
Andrew
how
Christian
Does the x represent a number or does it need to be graphed ?
latonya
-3/x
Venugopal
-3x is correct
Atul
Arnold invested $64,000, some at 5.5% interest and the rest at 9%. How much did he invest at each rate if he received$4,500 in interest in one year?
Tickets for the community fair cost $12 for adults and$5 for children. On the first day of the fair, 312 tickets were sold for a total of $2204. How many adult tickets and how many child tickets were sold? Alpha Reply 220 gayla Three-fourths of the people at a concert are children. If there are 87 children, what is the total number of people at the concert? Tsimmuaj Reply Erica earned a total of$50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than four times the amount she earned from her job at the college. How much did she earn from her job at the college? Tsimmuaj Erica earned a total of$50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than four times the amount she earned from her job at the college. How much did she earn from her job at the college? Tsimmuaj ? Is there anything wrong with this passage I found the total sum for 2 jobs, but found why elaborate on extra If I total one week from the store *4 would = the month than the total is = x than x can't calculate 10 month of a year candido what would be wong candido 87 divided by 3 then multiply that by 4. 116 people total. Melissa the actual number that has 3 out of 4 of a whole pie candido was having a hard time finding Teddy use Matrices for the 2nd question Daniel One number is 11 less than the other number. If their sum is increased by 8, the result is 71. Find the numbers. Tsimmuaj Reply 26 + 37 = 63 + 8 = 71 gayla 26+37=63+8=71 ziad 11+52=63+8=71 Thisha how do we know the answer is correct? Thisha 23 is 11 less than 37. 23+37=63. 63+8=71. that is what the question asked for. gayla 23 +11 = 37. 23+37=63 63+8=71 Gayla by following the question. one number is 11 less than the other number 26+11=37 so 26+37=63+8=71 Gayla your answer did not fit the guidelines of the question 11 is 41 less than 52. gayla 71-8-11 =52 is this correct? Ruel let the number is 'x' and the other number is "x-11". if their sum is increased means: x+(x-11)+8 result will be 71. so x+(x-11)+8=71 2x-11+8=71 2x-3=71 2x=71+3 2x=74 1/2(2x=74)1/2 x=37 final answer tesfu just new Muwanga Amara currently sells televisions for company A at a salary of$17,000 plus a $100 commission for each television she sells. Company B offers her a position with a salary of$29,000 plus a \$20 commission for each television she sells. How televisions would Amara need to sell for the options to be equal?
yes math
Kenneth
company A 13 company b 5. A 17,000+13×100=29,100 B 29,000+5×20=29,100
gayla
need help with math to do tsi test
Toocute
me too
Christian
have you tried the TSI practice test ***tsipracticetest.com
gayla