Use proportional thinking to answer the question. Explain how you got an answer without using pencil and paper or a calculator.
If 10% of a number is 4.3, what is
20% of the number?

Answer:

(-1;4)

Step-by-step explanation:

as the triangles are congruent

The coordinate of point F is (1-, 4). Therefore, option A is the correct answer.

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given graph, the coordinate points are A(-5, 0), B(-5, -5) and C(2, -5).

Here, ΔABC and ΔDEF are congruent triangles.

So, the coordinate of point F are (1-, 4)

Therefore, option A is the correct answer.

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

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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.

Answer:

x=63/8

Step-by-step explanation:

9/8=x/7

or, 9*7=x*8

or, 63=8x

x=63/8

Answer:

(x+5,y) = Yes

(5x,5y) = No

(.5x,.5y) = No

(x,-y) Yes

(-x,-y) Yes

Step-by-step explanation:

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°

Learn more about the angle visit:;

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Answer:

X Intercepts: (3,0) , (-1,0)

Y Intercepts: None

Hope this helps.

Answer:

Step-by-step explanation:

Remark

9.3 x and 60 degrees are all related to the Tangent of L or Tan(L) as you would find it on your calculator.

Givens

Formula

Tan(60) = opposite / Adjacent                Substitute Values

Solution

Tan(60) = 9.3 /  x                                      Multiply both sides by x

x*Tan(60) = x * 9.3 /x              

x* Tan(60) = 9.3                                         Divide both sides by Tan(60)

x * Tan(60) / Tan(60) = 9.3/Tan(60)

x = 9.3 / 1.7321

x = 5.369

Answer

x = 5.4                              

Answer:

-102.1

Step-by-step explanation:

When adding negative numbers, act as if you are subtracting that same number, but in its positive form.

So in reality, you could rewrite the equation as: (-7.8) - 12 - 82.3 = -102.1

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:

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

Answer: 1980 calories

Step-by-step explanation:

290grams of carbs=1160g

60 grams of fat=540

70 grams of protein=280 calories

290 x 4=1160

60 x 9=540

70 x 4=280

1160+540+280=1980 calories

carbs provide 4 calories per gram

fat provides 9 calories per gram

protein provides 4 calories per gram

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:

8.2 * 10^-3 is the greatest and 5.2 * 10^-6 is the smallest.

Step-by-step explanation:

Answer:

Just add me and let's our journey begins :3

Step-by-step explanation:

Just add me and let's our journey begins :3

Answer:

1 hot dog = $1.50 each

1 hamburger = $1.75 each

Step-by-step explanation:

Answer:

The prices must be $1.50 and $1.75

Step-by-step explanation:

For instance, seven hot dogs and two hamburgers cost $14: 7D+2B=14

We also know that two hot dogs and seven hamburgers cost $15.25: 2D+7B=15.25

Now, if we combine these two equations, we have a system where EVERYTHING has to be true at the same time 

7D+2B=14

2D+7B=15.25

From here there are a couple trick you should know to solve a system of equation, especially substitution and elimination. I see a coefficient of 2, so I'd rather use substitution by dividing the entire first equation in half:

3.5D+B=7

Now I'll solve for B

B=7-3.5D

Now that I've solved for a variable, I can substitute the solution into the other equation

2D+7(    B   )=15.25

becomes

2D+7(7-3.5D)=15.25

Now I can distribute and solve for D:

2D+49-24.5D=15.25

22.5D=33.75

D=1.5

Now we can replace D from either (or both) of our original equations and see what B has to be

7(1.5)+2B=14

10.5+2B=14

2B=3.5

B=1.75

2(1.5)+7B=15.25

3+7B=15.25

7B=12.25

B=1.75

The prices must be $1.50 and $1.75. The most important part of all this is setting up the equations, the rest is just being careful with your calculations.

Answer:

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

Answer:

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

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:

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:

36

Step-by-step explanation:

125%*x=45

125%x=45

x=36

Answer:2/7

Step-by-step explanation:

TThe solution is in the image

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:

Question 6a: [tex]p \leq 16[/tex]

Question 6b: option d

Step-by-step explanation:

Question 6a: [tex]6p \leq 96\\6p/6 \leq 96/6\\p \leq 16[/tex]

Question 6b:

- closed dot since its equal to 16

- p is less than 16 (arrow pointing left)

Answer:

Step-by-step explanation:

I can't really explain, but Here comes the hoping:

Equation 1:

Equation 2:

Equation 3:

Equation 4:

Equation 5:

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: 473 square meters

Step-by-step explanation:

Answer:

168 [tex]cm^{3}[/tex]

Step-by-step explanation:

Start by finding the whole prism's volume. 9 x 3 x 8 = 216 Then find the volume of the missing part. 8 x 6 x 1 = 48. Subtract the missing volume from the whole volume. 216 - 48 = 168

Answer:

there should be 8 blackberry muffins

Answer:

8 Black berry muffins

Step-by-step explanation:

Trust me