Micah and Lucy are in the school play.
Micah memorizes 12 lines of the script the first day and 10 lines each day after that.
Lucy memorizes 8 lines of script the first day and 12 lines each day after that.
What ordered pair represents the total number of lines they have memorized after 5 days?
(12, 8)
(40, 48)
(50, 60)
(52, 56)

Answer:

one and 1/6 cups (1 1/6)

Step-by-step explanation:

2/3 + 1/2

TOTAL means addition.

To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).

The denominator of 2/3 is 3.

The denominator of 1/2 is 2.

Now, we list the multiples of the denominator and find the lowest multiple they have in common.

3: 3, 6, 9, 12, 15

2: 2, 4, 6, 8, 10

The lowest number they have in common is 6.

Second, we change the denominators to 6.

In 2/3, to make 3 into 6, we have to multiply it by 2.

Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.

2/3 x 2/2 = 4/6

Now we do the same for 1/2.

1/2 x 3/3 = 3/6

Now, we add the new fractions.

4/6 + 3/6 = 7/6

7/6 = 1 1/6 (one and 1/6 cups).

Answer:

10

Step-by-step explanation:

Given two points we can use the distance formula to calculate the distance between the two points.

Formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where the x and y values are derived from the given points.

we are given the points (1,7) and (9,1)

To find the distance we plug in the x and y values of the points into the formula

[tex]d=\sqrt{(9-1)^2+(1-7)^2} \\9-1=8\\1-7=-6\\d=\sqrt{8^2+(-6)^2} \\8^2=64\\-6^2=36\\d=\sqrt{64+36} \\64+36=100\\\sqrt{100} =10\\d=10[/tex]

So we can conclude that the distance between the points (1,7) and (9,1) is 10 units

Answer:

M

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

Answer:

[tex]y = 4x+17[/tex]  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex]  and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

[tex]m[/tex] represents the x and y values of one point the line intersects, so  substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:

[tex]y-5 = 4(x+3)[/tex]

2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:

[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]

The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The line's equation in point-slope form is;

 y = mx+c

We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;

y-y₁=m(x-x₁)

y-5=4(x-(-3)

y-5=4(x+3)

y--5=4x+12

y-4x+17

Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.

To learn more about the slope refer to the link;

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Answer:

jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt

Step-by-step explanation:

ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6

Answer:

C

trust me that is my answer

Answer:

y=7x

Step-by-step explanation:

Answer:

105, I think if not please tell me it isn't!

Answer:

$5.44

Step-by-step explanation:

$1.75 + $1.26 + $1.08 + $0.52 = $4.56

$10.00 - $4.56 = $5.44

Answer:

77.43

Step-by-step explanation:

Answer:

77.43 people were canda

Step-by-step explanation:

To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.

Answer:

4

Step-by-step explanation:

8+2=10

10x2=60

60-2^4=4

the value of 2^4 is 56

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 + 2\times6 - 2^4 }[/tex]

[tex]\mathsf{2\times 6 = \bf 12}[/tex]

[tex]\mathsf{8 + 12 - 2^4}[/tex]

[tex]\mathsf{8 + 12 = \bf 20}[/tex]

[tex]\mathsf{20 - 2^4}[/tex]

[tex]\mathsf{2^4}[/tex]

[tex]\mathsf{= 2\times 2\times2\times2 }[/tex]

[tex]\mathsf{= 4\times 4 }[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{20 - 16 = \bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

119.

Step-by-step explanation:

12x12 is 144

5x5 is 25

144-25 = 119

Answer:

B is correct

Step-by-step explanation:

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

Answer:

2 packs

Step-by-step explanation:

because 10+10 =20 so he would buy 2 packs of t-shirts :)

Answer:

Area is 1900

Step-by-step explanation:

Give Me Brainllest

Answer:

the image isn't clear

can you type the numbers???

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

120÷4=30 (4 because a square has 4 sides)

and you can check it by doing 4×30=120

hope this helped

Answer:

The answer is 4

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

You have two angles given 90(right angle) and 57.

Add them to get 147 then subtract from 180.

180 - 147 = 33

Set 33 equal to the expression

33 = 4x + 17

33- 17 = 4x

16 = 4x

4 = x

Answer:3418

Step-by-step explanation:

The volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.

To find the volume of a cylinder, you can use the formula:

Volume = π * r² * h

Given:

Radius (r) = 8 ft

Height (h) = 17 ft

Plugging these values into the formula, we can calculate the volume:

Volume = π * (8 ft)² * 17 ft

= π * 64 ft² * 17 ft

≈ 3418.05 ft³

Rounding the volume to the nearest tenth, we get:

Volume ≈ 3418.1 ft³

Therefore, the volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.

To know more about volume of the cylinder click here:

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Answer:

A. 30000

B. 12000

Step-by-step explanation:

Find out how much spectators leave in 1 minute.

1 second = 5

1 minute = 5 x 60 = 300 (60 seconds)

20 minutes = 300 x 20 = 6000

Since there were only 80% of the full capacity of spectators and after minutes it became 60%...

80% - 60% = 20%

20% = 6000

1% = 6000 ÷ 20 = 300

100% = 300 x 100 = 30000

1 minute = 300 spectators leaving

1 hour = 300 x 60 = 18000 (60 minutes)

30000 - 18000 = 12000

Answer:

(0,2) is the answer - Option C.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which m is the slope and the point is [tex](x_0,y_0)[/tex]

Slope of 9/5 if one of the points on the line is (-10, -16)

This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]

[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]

Which of the following could be another point on the line?​

We have to find a point for values of x and y which gives us an identity. So

Option A:

x = -5, y = -6

Lets see

[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]

[tex]10 = \frac{9*5}{5}[/tex]

[tex]10 = 9[/tex] -> False

So this is not the answer.

Option B:

x = 4, y = 11

[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]

[tex]27 = 9*14/5[/tex]

False

Option C:

x = 0, y = 2

[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]

[tex]\frac{90}{5} = 18[/tex]

[tex]18 = 18[/tex]

True, so (0,2) is the answer - Option C.

Answer:

9

Step-by-step explanation:

highest value: 13

lowest value: 4

13-4= 9 which is the range

Answer: 9

Step-by-step explanation: 13-4=9

Option : D

Hope it helps you!

the answer is on the picture