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andrey2020 [161]
2 years ago
6

A novelty store sells 8 comic books for every 3 action figures. On Monday, they sold 32 comic books. On Tuesday, they sold 18 ac

tion figures. What is the difference between the number of action figures sold on Monday and Tuesday?
Mathematics
2 answers:
Shkiper50 [21]2 years ago
6 0

Answer:

6 action figures

Step-by-step explanation:

8 Comic books for every 3 action figures;

Ratio = 8:3

Monday =

32 Comic books: X

1 part = 32/8 = 4

X = 4 * 3 = 12

Therefore 12 action figures were sold on Monday.

Difference between Monday and Tuesday is 18-12 which is 6 action figures.

Lina20 [59]2 years ago
6 0

Answer:

The difference is 6

Step-by-step explanation:

Monday

32 comic books sold

8comic books give 3actions

32 comic books give y actions

Cross multiply

8y=32×3

8y=96

y=96/8

y=12 actions

Tuesday gives 18 actions

The difference between Monday and Tuesday actions will be

18-12= 6 actions

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A car moves at 45 miles per hour. The time and the distance it travels are recorded.
irinina [24]

Answer:

the distance

Step-by-step explanation:

More time care travels, more distance it goes. So distance depends of the time.

4 0
2 years ago
Tentukan mean, median, dan modus dari 7,4,5,6,7,4,5,7,8,9, dan 6
Anvisha [2.4K]

Answer:

<h3>Median = 6</h3><h3>Mean = 6,1</h3><h3>Modus = 7</h3>

Step-by-step explanation:

Median (Nila tengah setelah data diurutkan)

= 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9

= 6

Mean

= jumlah data / banyak data

= 4+4+5+5+6+6+7+7+7+8+9/11

= 68/11

= 6,1

Modus

= data yang paling banyak muncul

= 7 (muncul sebanyak 3 kali)

3 0
3 years ago
A line passes through the point (5,-11) and has a slope of -2 Find an equation of this line.
Vsevolod [243]

Formula: y = mx + b

m being the slope

Slope given: -2, plug it in

Y = -2x + b

Now find y intercept (b)

Plug in the point (5,-11)

-11 = -2(5) + b

-11 = -10 + b, b = -1

Solution: y = -2x -1

5 0
3 years ago
Emma puts $10,000 in a simple interest account at a bank.
goldenfox [79]

Answer: Hi Hope This Helps :D

Step-by-step explanation:

We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %

5 0
2 years ago
Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat
zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term x^2, which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form f(x)=ax^2+bx+c is given by the expression: x_v=\frac{-b}{2a}

Since in our case a=1 and b=5, we get that the x-position of the vertex is: x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the x_v=-\frac{5}{2}. Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

When evaluating the function at these points, we notice that two of them render zero (which indicates they are the actual roots of the equation):

f(-1) = (-1)^2+5(-1)+4= 1-5+4 = 0\\f(-4)=(-4)^2+5(-4)_4=16-20+4=0

The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

Then, the two roots are: x = -1 and x = -4.

5 0
3 years ago
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