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3 years ago

CHALLENGE Sage wants to buy board games for some of her friends. Board games

Mathematics

1 answer:

lukranit [14]3 years ago

4 0

Answer:

Step-by-step explanation:

6 plus 7 equals 13

9 plus 9 equals18

18 subtract 6 equals 13

13 subtract 12 equals 1

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a car rents for $40 per day plus 21 cents per mile. you are on a daily budget of $82. what mileage will allow you to stay within

pav-90 [236]

Answer:

200 miles will allow to stay within the budget

Step-by-step explanation:

∵ The daily budget is 82

∵ The cost per mile is 21/100 = $0.21

∵ The number of miles is x

∴ The equation of the budget is:

∴ 82 = 40 + 0.21 x

∴ 0.21 x = 82 - 40

∴ 0.21 x = 42

∴ x = 42/0.21 =200

∴ The number of miles = 200 to stay in the daily budget

3 0

3 years ago

A picture inside a frame is 2 inches longer than it is wide. The picture is in a frame that has a width of 3 inches on each side

geniusboy [140]

Answer:

The dimensions of the frame are 15 in x 13 in

Step-by-step explanation:

Let

x ----> the length of the picture

y ----> the width of the picture

we know that

$x=2+y$ -----> equation A

The area of the picture, including the frame is

$A=(x+6)(y+6)$

$A=195\ in^2$

$195=(x+6)(y+6)$ ----> equation B

substitute equation A in equation B

$195=(2+y+6)(y+6)$

solve for y

$195=(y+8)(y+6)\\y^2+6y+8y+48=195\\\\y^2+14y-147=0$

solve the quadratic equation by graphing

The solution is y=7 in

see the attached figure

<em>Find the value of x</em>

$x=2+7=9\ in$

Find the dimensions of the frame

$x+6=9+6=15\ in$

$y+6=7+6=13\ in$

therefore

The dimensions of the frame are 15 in x 13 in

7 0

3 years ago

What is the Mean Absolute Deviation of the following data set?<br> {23, 25, 28, 29, 30}

AnnyKZ [126]

Answer:

The mean absolute deviation is 2.4

Step-by-step explanation:

7 0

3 years ago

Integrate this for me please

mel-nik [20]

$\int\limits_{0}^{\frac{\pi }{6}}tan^2(x)sec^2(x)\cdot dx
\\------------------\\
u=tan(x)\implies \frac{du}{dx}=sec^2(x)\implies \frac{du}{sec^2(x)}=dx
\\------------------\\
\int\limits_{0}^{\frac{\pi }{6}}u^2sec^2(x)\cdot \cfrac{du}{sec^2(x)}\implies 
\int\limits_{0}^{\frac{\pi }{6}}u^2\cdot du
\\ \quad \\
$

$\textit{now, we need to change the bounds as well, so}
\\------------------\\
u(0)=tan(0)\implies 0
\\ \quad \\

u\left( \frac{\pi }{6} \right)=tan\left( \frac{\pi }{6} \right)\implies \frac{1}{\sqrt{3}}
\\------------------\\
thus\implies \int\limits_{0}^{\frac{1 }{\sqrt{3}}}u^2\cdot du$

and surely you can take it from there,
recall, that, since we changed the bounds, with the u(x),
you don't need to change the variable "u", and simply,
get the integral of it, simple enough, and apply those bounds

5 0

3 years ago

Read 2 more answers

100 fluid ounces of Laundry detergent sells for $12.99. What is the cost per fluid ounce rounded to cents?

aivan3 [116]

The cost per fluid ounce is 13 cents.

Step-by-step explanation:

Given,

Quantity of detergent = 100 fluid ounce

Cost of 100 fluid ounces = $12.99

Cost per fluid ounce = $\frac{Quantity\ of\ detergent}{Cost\ of\ detergent}$

Cost per fluid ounce = $\frac{12.99}{100}$

Cost per fluid ounce = $0.129

Rounding off to nearest hundredth

Cost per fluid ounce = $0.13 = 0.13*100 = 13 cents

The cost per fluid ounce is 13 cents.

Keywords: unit rate, division

Learn more about division at:

#LearnwithBrainly

4 0

3 years ago