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3 years ago

8

Jose earned 5h + 5 dollars for h hours and Alex earned 8h – 10 for h hours mowing lawns. If they earned the same amount

1 answer:

AlekseyPX3 years ago

3 0

Answer:

5 hours

Step-by-step explanation:

This is a classic pre-algebra question.

$5h+5=8h-10\\5=3h-10\\15=3h\\h=5$

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A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during

viva [34]

The answer is C just did all the work

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3 years ago

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for

dmitriy555 [2]

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Step-by-step explanation:

it’s B

8 0

3 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

I need your help guys !!!!!!!!

Ber [7]

$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

<u>Distance </u><u>between </u><u>the </u><u>house </u><u>and </u><u>tower </u><u>is </u><u>3</u><u>5</u><u> </u><u>m</u>
<u>The </u><u>height </u><u>of </u><u>the </u><u>tower </u><u>is </u><u>6</u><u>0</u><u> </u><u>m </u>
<u>The </u><u>height </u><u>of </u><u>the </u><u>house </u><u>is </u><u>2</u><u>5</u><u> </u><u>m</u>

$\bold{\underline{ Now}}$

<u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

<u>Therefore</u><u>, </u>

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

$\sf{ AB = 35 m }$

<u>Now</u><u>, </u><u> </u><u>In </u><u>Right </u><u>angled </u><u>ABC</u>

$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

$\bold{ tan Φ = 1 }$

$\bold{ tan Φ = 45 °}$

$\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}$

7 0

2 years ago

A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas

Tasya [4]

Answer:

Y=-40x+122

Step-by-step explanation:

hello

Due to the nature of the data, it is most convenient to model this problem as a linear function.

To solve this problem we must use the equation that defines a line, then start assigning the corresponding values

y1=82bananas per day

X1=1 dolar

y2=52bananas per day

x2=1.75dolar

line ecuation

y − y 1 = m(x − x 1 )

where

$m=slope=\frac{y2-y1}{x2-x1} =\frac{52-82}{1.75-1}=-40$

solving:

Y-82=-40(x-1)

Y=-40x+40+82

Y=-40x+122

let's try the result!

Price =1dolar

Y=-40(1)+122=82bananas per day

Price=1.75dolar

Y=-40(1.75)+122=52bananas per day

7 0

3 years ago