5. Pencil crayons are stored in boxes of 10. There are 4 boxes of red, 3 boxes of blue, 5
boxes of green and 3 boxes of orange in the storage room. How many pencil crayons
are there altogether?
There are 150 pencil crayons in all.
Step 1: Understand the Problem
What is asked?(given problem)
Hidden problem​

Answer:

[tex]\text{Domain: }[-2,0)\cup (0, 5],\\\text{Range: }(-2, 0]\cup [2, 4][/tex]

Step-by-step explanation:

The domain denotes the range of x-values of the function, usually read from left to right. The range denotes the range of y-values of the function, usually read from bottom to top. Parenthesis denote exclusive while square brackets denote inclusive.

Answer:

Trapezoid or rectangle

Step-by-step explanation:

Squares have 2 parallel sides, trapezoids have at least one, so some trapezoids have only one parallel side meaning that only some trapezoids are squares not all. Rectangles width and height are different unlike squares whose width and height are the same, all 4 sides of a square are the same.

Answer:

[tex]42[/tex]

Step-by-step explanation:

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. In the trapezoid, the two triangles share a height of 6, however one has a base of 6 and the other has a base of 8.

Area of smaller triangle (triangle on the left): [tex]\frac{1}{2}\cdot 6 \cdot 6=18\:\mathrm{cm^2}[/tex]

Area of larger triangle (triangle on the right): [tex]\frac{1}{2}\cdot 8 \cdot 6=24\:\mathrm{cm^2}[/tex]

Therefore, the sum of their areas are [tex]18+24=\boxed{42\:\mathrm{cm^2}}[/tex]

Answer:

Step-by-step explanation:

The triangle on the left is going to be a little trickier than the one on the right.

Right

height = 6

base = 8

Area = 1/2 * 6 *  8 = 24

Left

h=6

base = 6

Area = 1/2 * 6 * 6

Area = 18

Total Area = 18 + 24 = 42

Answer:

2/3

Step-by-step explanation:

First find the slope of the line

3x+2y = 7

Subtract 3x

2y = -3x+7

Divide by 2

y = -3/2x +7/2

This is in slope intercept form  y = mx+b  where m is the slope

The slope is -3/2

A line perpendicular is the negative reciprocal

-1/(-3/2)

2/3

The slope of the perpendicular line is 2/3

Answer:

Slope of the line perpendicular to the given line = 2/3

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

That is,

      [tex]slope_{1} \times slope _ 2 = - 1\\[/tex]

Given equation of the line :

                                  3x + 2y = 7

                                          2y = - 3x + 7

                                          [tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]

[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]

Find slope of the line perpendicular to the given line:

[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]

Answer:

Ashe will run 6 miles

Step-by-step explanation:

4/6 x 3/1 = 12/6 divided by 6 (for numerator and denominator) = 6/1 = 6

Answer:

$7.80

Step-by-step explanation:

Find how much tax he will be charged by multiplying 60 by 0.13:

60(0.13)

= 7.8

So, he will be charged $7.80 in tax

Answer:

$7.80

Step-by-step explanation:

13% of 60 = 7.8

so in total 7.80 would be Andrew's TAX

[ Correct me if I'm wrong!! ]

OPTION A 75% is the correct answer

Answer:

the one that has a hollow dot on 5 with the line pointing left

Step-by-step explanation:

4x+20<40

   -20    -20

4x<20

/4     /4

x<5

:) ur welcome

Answer:

Ans: 50 degrees.

Step-by-step explanation:

We know, a straight angle is 180 degrees. Also, the sum of the three angles of any triangle is equal to 180 degrees.

So,

(180-85) = 95,

(180-145) = 35,

A = (180-95-35) = 50.

Answer:

A) 8.5 miles per gallon

Step-by-step explanation:

Given

[tex]x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}[/tex]

[tex]n = 20[/tex]

Required

The IQR

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

Calculate [tex]Q_1[/tex]

[tex]Q_1 = \frac{1}{4}(n + 1)th[/tex]

[tex]Q_1 = \frac{1}{4}(20 + 1)th[/tex]

[tex]Q_1 = \frac{1}{4}(21)th[/tex]

Remove bracket

[tex]Q_1 = 5.25th[/tex]

This means that:

[tex]Q_1[/tex] is the mean of 5th and 6th item

From the given data:

[tex]5th \to 16[/tex]

[tex]6th \to 17[/tex]

So, we have:

[tex]Q_1 = \frac{1}{2}(16 + 17)[/tex]

[tex]Q_1 = \frac{1}{2}(33)[/tex]

[tex]Q_1 = 16.5[/tex]

[tex]Q_1 = 16.25[/tex]

Calculate [tex]Q_3[/tex]

[tex]Q_3 = \frac{3}{4}(n + 1)th[/tex]

[tex]Q_3 = \frac{3}{4}(20 + 1)th[/tex]

[tex]Q_3 = \frac{3}{4}(21)th[/tex]

Remove bracket

[tex]Q_3 = 15.75th[/tex]

This means that:

[tex]Q_3[/tex] is the mean of 15th and 16th item

From the data:

[tex]15th \to 24[/tex]

[tex]16th \to 26[/tex]

So:

[tex]Q_3 = \frac{1}{2}(24 + 26)[/tex]

[tex]Q_3 = \frac{1}{2}(50)[/tex]

[tex]Q_3 = 25[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 25 -16.5[/tex]

[tex]IQR = 8.5[/tex]

Answer:

C is the correct answer

Step-by-step explanation:

1/3 × pi × 3² × 10 = 94.24777961

Answer:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

Answer:

it's 2 1/2

Step-by-step explanation:

Because 2 box are shade in and the last box is half shade

Answer:

21

Step-by-step explanation:

The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.

(FYI: In some cases, if the product is even, it may not always work to multiply them together)

Answer:

21

hope this helps

have a good day :)

Step-by-step explanation:

3 multiples are 3, 6, 9, 12, 15, 18, 21, 24

7 multiples are 7, 14, 21, 28

so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21

Answer:

[tex]\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]\sin^2x+\sin x=0[/tex]

Factor:

[tex]\sin x(\sin x+1)=0[/tex]

Zero Product Property:

[tex]\sin x=0\text{ or } \sin x+1=0[/tex]

Recall that sine equals 0 at 0 radians. This will repeat every π radians. So:

[tex]x=n\pi, n\in\mathbb{Z}[/tex]

(Where n is an integer).

In the second case, we have:

[tex]\sin x=-1[/tex]

This occurs at 3π/2 and will repeat every cycle or 2π. Hence:

[tex]\displaystyle x=\frac{3\pi}{2}+2n\pi, n\in\mathbb{Z}[/tex]

Our solution is:

[tex]\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}[/tex]

Notes:

In the interval [0, 2π), the solutions are:

[tex]\displaystyle x=\left\{0,\pi, \frac{3\pi}{2}\right\}[/tex]

Answer:

-5 < x < 14

Step-by-step explanation:

-5 < x < 14

hope it is helpful to you ☺️

Answer:

Hi there!

Step-by-step explanation:

First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)

Hope you enjoy!

Answer:

A: 360

Step-by-step explanation:

Split the trapezoid into 2 shapes

Then find the area of the rectangle on the left:

18 × 15 = 270 square yards

Now for the triangle, first find the base by subtracting the 2 parallel lines:

25 - 15 = 10 yards

0.5(10 × 18) = 90 square yards

Add both areas to find total area:

270 + 90 = 360 square yards

All this can be seen in the figure below:

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

vs = K vw

where vs is volume of soup

K is the constant

vw is volume of water

3 = K × 2.5

3 = 2.5K

K = 1.2

Answer:

$120 in interest

Step-by-step explanation:

The formula for finding how much interest you get over time is this :

Principal × Rate × Time = Interest you get at the end

Principal is how much you start out with, so in this case that's $1,000.

Rate is the percent annual interest, which in this case is 6%.

Last, time, time in this case is 2 years.

I = (1000)(0.06)(2) = 120

I will get $120 in interest.

Answer:

v^2 + 4v - 32

Step-by-step explanation:

( v - 4 ) ( v + 8 )

= v ( v + 8 ) - 4 ( v + 8 )

= v^2 + 8v - 4v - 32

= v^2 + 4v - 32

Using it's concept, it is found that there is a 0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 85 learners, 75 - 60 = 15 have an orange but not an apple, hence the probability is given by:

p = 15/85 = 0.1765.

0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

Hello! answer: 25

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!

Answer:

D, no idea how the other one came to the conclusion that B would be right

f(0) is -3, but there is no zero point at -3 (-3/0)

The graph has no minimum value btw, just a maximum value of 1

pls brainliest

Answer:

the answer is 31°...........

Answer:

Ummm. There's no question

Step-by-step explanation:

Answer:

20.9

Step-by-step explanation:

Circumference = 10 * 2 * pi = 62,831853

lenght of the arc

62,831853 : 360 = x : 120

x = (62,831853 * 120)/360 = 20.9

Answer:

a) 68%.

b) 84%.

c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

e) Between 60 mph and 80 mph.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 70 mph, standard deviation of 5 mph.

(a) Approximately what percent of cars are travelling between 65 and 75 mph?

70 - 5 = 65

70 + 5 = 75

Within 1 standard deviation, so approximately 68%.

(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?

The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.

65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.

0.68*50% + 50% = 34% + 50% = 84%.

84%.

(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?

80 = 70 + 2*10

2 standard deviations above the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:

Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

(d) What percent of cars are traveling at a speed greater than 80 mph?

Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.

(e) 95% of cars are traveling between what two speeds?

Within two standard deviations of the mean.

70 - 2*5 = 60 mph

70 + 2*5 = 80 mph.

Between 60 mph and 80 mph.