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bixtya [17]
3 years ago
13

Your school is having a spring festival. Admission into the festival is $2 and each game inside the carnival costs $.75. How man

y games can you play if you want to spend no more than $15?
Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

100 games .

Step-by-step explanation:

$15 / $.75 (the amount for each game) = 100 games .

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Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho
mylen [45]

Answer:

Rasheed bought 9 packages of chocolates bar.

Step-by-step explanation:

Let C be the number of packages of chocolate bars.

Let T be the number of packages of toffee bars.

Rasheed handed out 2/3 of 2C of the chocolate bars and 3/5 of 2T of the toffee bars.

(1) Rasheed bought 1 fewer package of chocolate bars than toffee bars.

Equation becomes:

C=T-1    .....(1)

(2) Rasheed handed out the same number of each kind of candy bar .

Equation becomes:

\frac{2}{3}\times 2C =\frac{3}{5}\times 2T

=> \frac{4C}{3} =\frac{6T}{5}

=> 20C=18T

=> 20C-18T=0

Taking out 2 common, we get

10C-9T=0    ......(2)

Substituting C=T-1 in (2)

10(T-1)-9T=0

=> 10T-10-9T=0

=> T-10=0

T = 10

As C=T-1

C=10-1

C = 9

Therefore, Rasheed bought 9 packages of chocolates bar.

5 0
3 years ago
-4x^4 - 3x^3 - 29x^2 - 114 where x= -4
tatiyna

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114

Now we can solve

-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410

5 0
3 years ago
Read 2 more answers
Graph the line that contains the point (-5,-3) and had a slope of -2
Ipatiy [6.2K]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have to:

m = -2

Then, the equation is of the form:

y = -2x + b

We substitute the point(x, y): (- 5, -3)and find "b":

-3 = -2 (-5) + b\\-3 = 10 + b\\-3-10 = b\\b = -13

Finally, the equation is:

y = -2x-13

To graph we place the points (-5, -3)and(0, -13) on the coordinate axis and join the points by a line.

ANswer:

y = -2x-13

The graphic is attached.

4 0
3 years ago
Write the equation in siope-intercept form for the line that passes through the given pointand is perpendicular to the given equ
yulyashka [42]

For a line in the form:

\begin{gathered} ax+by=c \\ The\text{ slope m is:} \\ m=-\frac{a}{b} \end{gathered}

In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:

\begin{gathered} m_1=-\frac{a}{b}=-\frac{2}{10} \\ m_1=-\frac{1}{5} \end{gathered}

Now, two lines are perpendiculars if the slopes satisfy the following equation:

m_2=-\frac{1}{m_1}

So, for the line we want the slope is:

\begin{gathered} m_1=-\frac{1}{5} \\ m_2=-\frac{1}{m_1}=-\frac{1}{(-\frac{1}{5})}=5 \end{gathered}

Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:

\begin{gathered} P_1=(2,3),m=5 \\ y=mx+b \\ \text{The P1 must satisfy the equation:} \\ 3=5\cdot2+b \\ b=3-10 \\ b=-7 \end{gathered}

The equation of the line is y = 5x - 7

7 0
1 year ago
PLZZZZZZZZZ HELP THERE IS JUST THIS ONE AND IM STILL CONFUSED PLZZZ HELPPPP ME REAL QUICK ITS REALLY EASY
RUDIKE [14]
Angle a is 22.62 degrees
and
angle b is 67.38 degrees

7 0
3 years ago
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