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3 years ago

60% of 89 is what number?

Mathematics

2 answers:

notsponge [240]3 years ago

5 0

Answer:

53.4

Step-by-step explanation:

cluponka [151]3 years ago

4 0

It’s 53.4 hope this helps

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Corrine has 4.2 pounds of trail mix to divide into 14 bags. How many pounds of trail mix will go in each bag? Each bag of trail

ss7ja [257]

Answer:

0.3 lbs

Step-by-step explanation:

4.2/14 = 0.3 lbs of trail mix in each bag

3 0

3 years ago

Read 2 more answers

You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for st

riadik2000 [5.3K]

Answer:

11 tickets

Step-by-step explanation:

1. write an equation:

First, variable x symbolizes the number of adults who bought tickets. And variable y symbolizes the number of students.

If each adult paid $6, and each student paid $4, and the total dollars you've collected is 104, this is how we'll write our equation:

6x + 4y = 104

2. we can write another equation based on this information: "You sold 21 tickets". Which concludes that the number of tickets adults and students had paid for equals the number of tickets you've sold:

x + y = 21

3. now, we've got two equations. Let's compensate:

x + y = 21

x = 21 - y

6x + 4y = 104

6 (21 - y) + 4y = 104

126 - 6y + 4y = 104

-6y + 4y = -22

-2y = -22

y = -22 / -2

So the number of student tickets is <u>11</u>.

3 0

3 years ago

Given: g(z)=5z+2.1

Olin [163]

Answer/Step-by-step explanation:

Given the function, $g(z) = 5z + 2.1$ , the table can be completed by substituting the given value of z as follows:

Question 2: z = -7

$g(-7) = 5(-7) + 2.1$

$g(-7) = -35 + 2.1$

$g(-7) = 32.9$

Question 3: z = -8

$g(-7) = 5(-8) + 2.1$

$g(-7) = -40 + 2.1$

$g(-7) = 37.9$

3 0

3 years ago

Equations, Their Slopes And Y-intercepts.

nataly862011 [7]

$Standard\ form:\ Ax+By=C\\\\Slope-intercept\ form:\ y=mx+b\\m-slope,\ b-y-intercept$

$Slope:\ m=\dfrac{b}{a}\\\\\uparrow b\ units\ if\ b > 0\\\downarrow b\ units\ if\ b < 0\\\leftarrow a\ units\ if\ a < 0\\\rightarrow a\ units\ if\ a > 0$

----------------------------------------------------------------------------------

$Standard\ form:\\\\6x-24y=-48\\--------------------------\\6x-24=-48\qquad|-6x\\-24y=-6x-48\qquad|:(-24)\\y=\dfrac{-6}{-24}x+\dfrac{-48}{-24}\\--------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{1}{4}x+2\\---------------------------\\Slope:\\\\m=\dfrac{1}{4}\begin{array}{ccc}\uparrow\\\rightarrow\\\end{array}\\------------------------------\\y-intercept\to b=2\\\\(0,\ 2)$

$Standard\ form:\\\\6y+10x=42\\---------------------------------\\6y+10x=42\qquad|-10x\\6y=-10x+42\qquad|:6\\y=\dfrac{-10}{6}x+\dfrac{42}{6}\\----------------------------\\Slope-intercept\ form:\\\\y=\dfrac{-5}{3}x+7\\----------------------\\Slope:\\\\m=\dfrac{-5}{3}\begin{array}{ccc}\downarrow\\\rightarrow\end{array}\\-------------------------------\\y-intercept\to b=7\\\\(0,\ 7)$

$Standard\ form:\\\\-3y+7x=21\\--------------------------\\-3y+7x=21\qquad|-7x\\-3y=-7x+21\qquad|:(-3)\\y=\dfrac{-7}{-3}x+\dfrac{21}{-3}\\-------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{7}{3}x-7\\-------------------------\\Slope:\\\\m=\dfrac{7}{3}}\begin{array}{ccc}\uparrow\\\rightarrow\end{array}\\------------------------------------\\y-intercept\to b=-7\\\\(0,\ -7)$

7 0

4 years ago

Log2(3x-1) = log2 (x+8)

Keith_Richards [23]

Answer:

X= 9/2

Alternative form

x=4 1/2, x=4.5

Step-by-step explanation:

*= Multiply

1. log (little 10 under) (2)*(3x-1)= log (little 10 under) (2)*(x+8)

2. then divide both side by log (little 10 under (2))

3. 3x-1=x+8

4. move variable to the left side and change its sign

5. 3x-x-1=8

6. then move constant to the right side and change its sign

7. 3x-x=8+1

8. collect like terms

9. 2x=8+1

10. add 8+1

11. 2x=9

12. then divide both sides by 2

13. 2/2 9/2

14. 2/2 cancels out so x=9/2 is the answer

4 0

3 years ago

Read 2 more answers