Reduce the fraction, then change to a mixed number. 20/3

Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

find their highest common factor and divide both the numbers by the same amount (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

Answer:

4

Step-by-step explanation:

-1 - (-5) = 4

3 - (-1) = 4

7 - 3 = 4

Answer:

178

Step-by-step explanation:

100 plus 78 equal s 179

The equation in slope intercept form is,[tex]31.25 = 1.25 \times 25 +0[/tex]. The given equation is obtained by comparing the standard equation of the straight line.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The given equation is;

1.25 (25) = 31.25

31.25=1.25 (25)

The standard equation of the slope intercept form. is;

[tex]\rm y = mx +x[/tex]

On comparing the given equation with the above equation, we get;

y=31.25

m=1.25

x=25

c=0

The equation in slope intercept form is;

[tex]31.25 = 1.25 \times 25 +0[/tex]

Hence, the above equation is the slope intercept form.

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Answer:

see below

Step-by-step explanation:

For absolute values   | x |    just drop the sign of the number and make it positive

  example :     | -3|  = 3

so for this Q

-2  1/4     - 1  1/4     3/4     1  1/4    1  3/4     2 1/4

Answer:

Hope the picture will help you..............

Answer:  [tex]y=\frac{-15}{7}x-\frac{4}{7}[/tex]

Slope: -15/7

y-int:-4/7

Step-by-step explanation:

slope: rise/run

[tex]\frac{x^2-x^1}{y^2-y^1}[/tex]

[tex]\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}[/tex]

thats the answer :)

~rere

Answer:

f(g(4)) = 13.

Step-by-step explanation:

g(4) = 4^2 = 16

so f(g(4)) = f(16)

=  16 - 3

= 13.

Answer:

B

Step-by-step explanation:

4x4= 8

10x10= 20

8+20= 28

5x2= 10

9x2= 18

10+18= 28

Answer:

[tex]4x + 10y = 28 \\ 5x + 9y = 28 \\ 10y = 28 - 4x \\ y = \frac{28 - 4x}{10} \\ y = 2.8 - 0.4x \\ 5x + 9(2.8 - 0.4x) = 28 \\ 25.2 - 3.6x + 5x = 28 \\ 1.4x = 2.8 \\ x = 2 \\ [/tex]

[tex]y = 2.8 - 0.4 \times 2 \\ y = 2[/tex]

B

Answer:

4,105 yd cubed

Step-by-step explanation:

This can be divided into three rectangular prisms, one of which is constructed from triangular prisms

19*9*10 = 1,170 yd

30*9*7 = 1,890 yd

10*5.5*9 = 1,045 yd

Adding them all together gets

4,105 yd cubed

Answer:

f= 5.2 or 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Cot(60) = 3/f

0.58 =3/f

0.58f = 3

f= 5.2 or 3[tex]\sqrt{3}[/tex]

Answer:

53

Step-by-step explanation:

7 * 7 = 49 + 4 = 53

Answer:

A. 53

Step-by-step explanation:

Find number of trophies on shelves:

7 shelves x 7 trophies each = 49 trophies on shelves

Find total number of trophies:

49 trophies on shelves + 4 leftover = 53 trophies overall

So the answer is A. 53

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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Step-by-step explanation:

the last 2 answer options are completely useless and outright nonsense, because all limits are going against +4.

so, an asymptote at x = -4 is not an option anywhere.

g(x) is always y, and the limit of the function is the limit of the y values.

we just evaluate for what x value is then y reaching that limit. but the sign of the y limit has no direct impact on the sign of the x value.

it is true that the case x = -4 needs to be checked too, but it turns out this just delivers g(-4) = 0.

now, about x = 4 :

when coming from the left side of +4 (increasing x), what is the sign of the function ?

we can simply use x = 3 to test this :

g(3) = 2(3+4)²/(3² - 16) = 2×49/-7

so, it is negative.

that means when getting closer and closer to +4 coming from that side we what get negative values, and the limit is -infinity.

when coming from the right side of +4 (decreasing x), what is the sign of the function ?

we can simply use x = 5 to test this :

g(3) = 2(5+4)²/(5² - 16) = 2×81/9

so, it is positive.

that means when getting closer and closer to +4 coming from that side we what get positive values, and the limit is +infinity.

so, the second answer option is correct.

because of these y limits, there is a vertical asymptote at x = 4 that kind of "connects" -infinity and +infinity in y direction at that location and symbolizes the limits of y.

Using supplementary angles, it is found that the measures of the angles are given as follows:

Supplementary angles are two angles whose sum is of 180º.

An interior angle is supplementary with it's exterior angle, hence:

m<a + 150º = 180º -> m<a = 30º.

The sum of the three interior angles of a triangle is of 180º, hence:

30º + m<b + 60º = 180º

90º + m<b = 180º

m<b = 90º.

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Answer:

[tex]y=\frac{3}{4} x-3[/tex]

Step-by-step explanation:

Given information: x-int: 4 and y-int:-3

x-int point : (4,0).

y-int point : (0,-3).
Plug this information to point-slope form to solve for m and then convert that to slope-intercept form.

[tex]y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=\frac{3}{4} \\[/tex]

[tex]y-y_0=m(x-x_0)\\y-(-3)=\frac{3}{4} (x-0)\\y+3=\frac{3}{4}x\\y=\frac{3}{4}x-3[/tex]

Answer:

Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision

Answer:

C. Shows relationship between events, explains how one thing happens as a result of another

Step-by-step explanation:

Answer: The answer is d

Step-by-step explanation:

Answer:

there should be 8 blackberry muffins

Answer:

8 Black berry muffins

Step-by-step explanation:

Trust me

Answer:

2^3 a^5 b^4

4b^2 c^3

2^(3-2) a^5 b^(4-2)

c^3

2a^5 b^2

2a^5 b^2 c^3

Answer:

36

Step-by-step explanation:

125%*x=45

125%x=45

x=36

The amount of the surface area covered with stickers is 0.6 or 60%

The amount of area to cover is given as:

Covered area = 3/5

Express as percentage

Covered area = 3/5 * 100%

Divide 3 by 5

Covered area = 0.6 * 100%

Evaluate the product

Covered area = 60%

Hence, the amount of the surface area covered with stickers is 0.6 or 60%

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Answer:

135.93

Step-by-step explanation:

I took the test

The amount that was invested in the first fund is $8300.

The amount that was invested in the second fund is 3700.

0.09a + 0.03b = $858 equation 1

0.1a + 0.01b = $867  equation 2

Where:

Multiply equation 2 by 0.9:

0.09a + 0.009b = 780.30 equation 3

Subtract equation 1 from equation 3

0.021b = 77.70

Divide both sides by 0.021

b = $3700

Substitute for b in equation 1: 0.09a + 0.03(3700) = $858

0.09a + 111 = 858

a = (858 - 111) / 0.09

a = $8300

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The amount of paper that Lemon needs for the actual poster will be 8 square feet.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The dimension of the poster is 10 cm by 20 cm.

And the scale factor will be 5 cm is equal to 1 ft.

Then the dimension of the poster will be 2 ft by 4 ft.

Then the amount of the paper that Lemon needs for the actual poster will be

Area = 2 × 4

Area = 8 ft²

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Check the picture below.

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{30\cdot sin(24^o)}}{\underset{hypotenuse}{50}}\implies sin^{-1}[sin(\theta )]=sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right] \\\\\\ \theta =sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right]\implies \theta \approx 14.1^o[/tex]

The value of angle does this replacement ramp make with the horizontal is,

⇒ θ = 14.1°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

A 30-foot ramp is used to move product to a loading dock.

The ramp makes a 24° angle with the horizontal.

And, The ramp is to be replaced with a ramp that is 50 feet long.

Hence, By given figure;

We have;

⇒ sin θ = 30 × sin 24° / 50

⇒ θ = sin ⁻¹ (30 × sin 24° / 50)

⇒ θ = 14.1°

Thus, The value of angle does this replacement ramp make with the horizontal is,

⇒ θ = 14.1°

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Answer:

6/4-3/2(12/8+27/4)9/8x30/12=

Answer:

(x+5,y) = Yes

(5x,5y) = No

(.5x,.5y) = No

(x,-y) Yes

(-x,-y) Yes

Step-by-step explanation:

Answer & Step-by-step explanation:

USDA's Dietary Guidelines for Americans provide percent ranges for each macronutrient. For adults, the organization recommends consuming 10%–35% of calories from protein, 45%–65% from carbohydrates, and 20%–35% of calories from fat. They also suggest consuming less than 10% of total calories from saturated fat.

Answer:

Step-by-step explanation:

3y-9x=9

3y-9x+9x=9+9x

3y=9x+9

y=3x+3

If a line is perpendicular to an equation, the slope is flipped.

So, 3x would equal to -3x.

The final equation is y=-3x+3

Answer:

I need an image

Step-by-step explanation:

Answer:CPCTC

Step-by-step explanation:

6. AB ≅ CD          Corresponding Parts of Congruent triangles are Congruent(CPCTC)

Hope it helps:)