explain how you would find how many 1 1/2 cup servings there are in a pot that contains 22 1/2 cups of soup.

Answer:

A. For every 3 cups of lemonade, there are 7 cups of iced tea.

Step-by-step explanation:

The ratio is 3:7 and it stated that she mixed the lemonade cups with the iced tea. Therefore, A is the correct answer.

Answer:

3:7

Step-by-step explanation:

Answer:

The answers are B, C, and D.

Step-by-step explanation:

When you rotate an image 180° about the origin, you are flipping it twice. An easy rule is that an (x, y) pair becomes (-x, -y). Now just reverse the sign of the coordinates. Our rotated shape has the coordinates (-5, -6), (-5, -4), and (-8, -4).

Answer:  C. (−5, −6)          D. (−8, −4)

Step-by-step explanation:

We know that the rule for rotation a shape by [tex]180^{\circ}[/tex] (counterclockwise or clockwise) is given by :-

[tex](x,y)\to(-x,-y)[/tex]  [Polarity of coordinates gets changed]

Given : Troy drew a triangle with coordinates ( 5 , 6 ) , ( 5 , 4 ) , and ( 8 , 4 ) . He rotated the triangle 180° about the origin.

Then, the coordinates of the image will be :-

[tex]( 5 , 6 )\to(-5,-6)[/tex]

[tex]( 5 , 4 )\to(-5,-4)[/tex]

[tex]( 8 , 4 )\to(-8,-4)[/tex]

From the options, the coordinates of the image = (-5,-6) and (-8, -4)

Hence, option C and D are correct.

Step-by-step explanation:

[tex]4.55-4\ and\ 55\ hundredths\\\\4.55=4\dfrac{55}{100}=4\dfrac{55:5}{100:5}=4\dfrac{11}{20}=\dfrac{(4)(20)+11}{20}=\dfrac{91}{20}[/tex]

[tex]4.\underbrace{55}_{2_{digits}}=4\dfrac{55}{1\underbrace{00}_{2_{zeros}}}[/tex]

Answer:

r=2

Step-by-step explanation:

Hey!

-----------------------------------------------

Solution:

= (-18) - (4)

= -18 - 4

= -22

When you subtract a positive to a negative number the end result will always be negative.

-----------------------------------------------

Answer:

B. 22

-----------------------------------------------

Hope This Helped! Good Luck!

The water level in the tank decreased from 8 cm to 4 cm. This represents a decrease of 4 cm or a 50% decrease.

The decrease in water level in the tank is calculated by finding the difference between the initial level and the final level. In this case, the initial level is 8 cm and the final level is 4 cm. The difference between these two levels is 4 cm.

To calculate the percent decrease, divide the decrease in level by the initial level and then multiply by 100%. So, in this case, the percent decrease in water level is (4 cm / 8 cm) * 100% = 50%.

The percent decrease of water in the tank from noon to several hours later is therefore 50%.

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The percent decrease of water in the tank is 50%.

To find the percent decrease of water in the tank, we need to calculate the difference in the water level and express it as a percentage of the initial water level.

The initial water level at noon is 8 cm and after several hours it decreases to 4 cm. The difference in water level is 8 cm - 4 cm = 4 cm.

To find the percentage decrease, divide the difference in water level by the initial water level and multiply by 100.

The percent decrease is (4 cm / 8 cm) * 100 = 50%.

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Answer:

A

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 4x + 2 + x² - 6 = x² + 4x - 4 → A

Answer:

[tex]3a-4b-13[/tex]

Step-by-step explanation:

Given: [tex](2a+5b-7)+(a-9b-6)[/tex]

Since we are adding, there is no real use for the parenthesis. This may help you visualize it better.

[tex]2a+5b-7+a-9b-6[/tex]

Combine like terms:

[tex]3a-4b-13[/tex]

It is the answer shown below

3a-4b-13

Answer: 19. UQTX and UQRV

              20. TSWX and TSRQ

               21.  XTQU and XTSW

              22.  VWXU and VWSR

Step-by-step explanation:

The planes are the faces of the box.

19) QU intersects the left side and the front of the box, which is planes UQTX and UQRV

20) TS intersects the back and the bottom of the box, which is planes TSWX and TSRQ

21) XT intersects the left side and the back of the box, which is planes XTQU and XTSW

22) VW intersects the right side and the top of the box, which is planes VWXU and VWSR

The two planes that intersect in the given line are QTS and TUV.

In order to determine two planes that intersect in a given line, we can start by looking at the notation provided. Here, the given line is represented by the points 19.QU, 20.TS, 21.XT, and 22.VW. We can identify two planes that intersect in this line by observing the common points shared between them.

By analyzing the given line notation, we can see that the points U, T, and V are common to all four pairs of points, indicating that these points lie on the intersection of two planes. Therefore, the two planes that intersect in the line 19.QU 20.TS 21.XT 22.VW are the planes containing points QTS and TUV.

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Answer:

Step-by-step explanation:

18 - 8x = -6x.

Add 8x from the left side to the right

18=2x

18/2 = 9

x=9

Answer:

87.648

this is the answer

Answer:

87.648 should be your answer

Answer:

A graph has month on the x-axis and saved (money) on the y-axis. Points are at (0, 3,000), (2, 2,450), and (5, 1,625).

The instructor’s friend also plans to rent an apartment in the same complex. Use the graph to identify the y-intercept and the slope used to write the equation in slope intercept form.

y-intercept =

✔ 3000

Slope =

✔ –275

Linear equation =

✔ y = -275x + 3000

Step-by-step explanation:

The linear equation which models the data represented by the graph written is slope - intercept form is :y= - 275x + 3000

General form of a slope - intercept equation :

Slope = Rise / Run

The slope, b:

Slope = (1375 ÷ -5) = - 275

The intercept, c:

This is the point on the graph where the trend line crosses the y-axis.

Hence, the intercept is 3000

Therefore, the slope - intercept equation is y= - 275x + 3000

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Answer:

Shift 1 units towards left and then stretch vertically 3 times.

Step-by-step explanation:

We are given that a parent function

[tex]y=x^2[/tex]

After transformation, we get a graph [tex]y=3(x+1)^2[/tex]

We have to find that how the parent function transformed to produce the graph of [tex]y=3(x+1)^2[/tex]

The parent graph is shifted  1 unit towards left by the rule of transformation

[tex]f(x)\rightarrow f(x+1)[/tex]

By applying this rule then, we get

[tex]y(x)=(x+1)^2[/tex]

Now, the parent function stretched vertically 3 times the previous graph  by the rule

[tex]f(x)\rightarrow 3f(x)[/tex]

Apply this rule then, we get

[tex]y(x)=3(x+1)^2[/tex]

Answer:

the answer is 6

Step-by-step explanation:

6×3=18

So 6×5=30, 6×2=12

30-12=18

18=18

Answer:

-\sqrt{5}< x < \sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^{2} <5 => -\sqrt{5}< x < \sqrt{5}[/tex]

Answer:

[tex]-\sqrt{5} <x<5[/tex]

Step-by-step explanation:

The given expression is

[tex]x^{2} -5<0[/tex]

To solve this quadratic inequality, we need to isolate the variable and then apply the quadratic root at each side of the inequality, as follows

[tex]x^{2} <5\\x<\±\sqrt{5}[/tex]

Remember that a quadratic root has two results, one positive and one negative, which in this case would be

[tex]x<\sqrt{5}\\ x>-\sqrt{5}[/tex]

Remember that a negative factor changes the direction of the inequality relation to the opposite.

Therefore, the solution is

[tex]-\sqrt{5} <x<5[/tex]

That is, all values between [tex]-\sqrt{5}[/tex] and [tex]\sqrt{5}[/tex].

Answer:

[tex]D=\sqrt{10}=3,16...[/tex]

Step-by-step explanation:

[tex]A(x_{1},y_{1})[/tex]

[tex]B(x_{2};y_{2})[/tex]

[tex]D=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]A(-6,2)[/tex]

[tex]B(-9;1)[/tex]

[tex]D=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]D=\sqrt{[-9-(-6)]^{2}+(1-2)^{2}}[/tex]

[tex]D=\sqrt{[-9+6]^{2}+(1-2)^{2}}[/tex]

[tex]D=\sqrt{[-3]^{2}+(-1)^{2}}[/tex]

[tex]D=\sqrt{9+1}[/tex]

[tex]D=\sqrt{10}=3,16...[/tex]

Answer:

The distance between  -6.2 and -9.1 is 2.9.

Step-by-step explanation:

Given : Two numbers -6.2 and -9.1.

To find : What is the distance between the numbers ?

Solution :

Let A=-6.2

B=-9.1

The distance between two number is [tex]d=|B-A|[/tex]

Substitute the values,

[tex]d=|-9.1-(-6.2)|[/tex]

[tex]d=|-9.1+6.2|[/tex]

[tex]d=|-2.9|[/tex]

[tex]d=2.9[/tex]

Therefore, The distance between  -6.2 and -9.1 is 2.9.

The system of equations provided is classified as inconsistent because the equations have equal slopes but different y-intercepts, indicating they are parallel lines without any intersection point.

To classify the system as independent, dependent, or inconsistent without graphing, we need to rearrange the equations into a common linear form, typically y = mx + b, where m is the slope and b is the y-intercept.

The given equations of the system are y = 4x + 6 and 1 - 8x + 2y = 12. Let's rewrite the second equation in the form y = mx + b, which results in y = 4x - 5.

Now, let's compare. The first equation has a slope of 4 (m1 = 4) and the second equation also has a slope of 4 (m2 = 4). However, the y-intercepts of the two lines (b1 = 6, b2 = -5) are different.

Since the slopes are equal and the y-intercepts are different, the system is inconsistent. In other words, the two lines are parallel and do not intersect, so there is no solution to the system.

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Answer:

     x =13/16

Step-by-step explanation:

2(4-8x)+6=1

2*(4-8x) + 2*3 =1

2 ( 4 - 8x + 3 ) = 1

2 * ( 7- 8x ) =  1

2* 7 - 2 * 8x = 1

14 - 16x = 1

   - 16x = 1-14

   -16x = -13

       x = -13 /- 16

       x =13/16

Answer:

D

Step-by-step explanation:

A is 4, which is rational,

B is just 1/3, which is rational,

C is -8, which is rational,

leaving D, which is 3.1415926535...

Answer:

The equation above has no question, but if there was, then yes, the equation above does equal -14

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

(−2) − (3+(2))−7

= - 2 - ( 3 + 2 ) - 7 = − 2 − ( 3 + 2 ) − 7

= - 2 - 5 - 7 = − 2 − 5 − 7

- 14

Answer:

30

Step-by-step explanation:

y varies directly with x, so:

y = kx

When x = n, y = 180.

180 = kn

When x = 5, y = n.

n = 5k

Solve for k in the first equation:

k = 180 / n

Substitute into the second equation:

n = 5 (180 / n)

n = 900 / n

n² = 900

n = 30

Answer:

573,626

Step-by-step explanation:

563626 + 10000 = 573626

Answer:

8√3

Step-by-step explanation:

3√12 = 3√4 x 3 = 5√3

√27 = 3√3

5√3 + 3√3 = 8√3

Answer:

It's C (-2,-2)

Step-by-step explanation:

Answer:

-114

Step-by-step explanation: I just did this

I solved 2/5(x − 2) = 4x. I don't know why you included those extra numbers.

-2/9

6,000 is [tex]6*10^3[/tex] in exponents.

Answer:

Step-by-step explanation:

shsjsjsj

No, angle B or angle C can't be obtuse.

It is given that:

Angle A in triangle ABC is obtuse.

This means that:

∠A > 90°

Now, let us assume that:

Angle B is obtuse.

i.e. ∠B > 90°

Hence, we get that the sum of two angle is greater than 180 degree.(i.e. ∠A+∠B > 180° )

hence, the sum of all the three angles will be greater than 180 degrees.

But we know that in order to form a triangle the sum of all the three angles must be equal to 180 degree.

No, angle B and angle C cannot be obtuse if angle A is obtuse because the sum of angles in a triangle is always 180 degrees, and if one angle is obtuse, the other two must be acute to satisfy this rule.

We have,

In a triangle, the sum of all angles is always 180 degrees.

If angle A in triangle ABC is obtuse, it means it measures more than 90 degrees (greater than a right angle).

For the sum of the angles to be 180 degrees, angles B and C must be acute (measuring less than 90 degrees).

This is because if either angle B or angle C were obtuse, the sum of the angles would exceed 180 degrees, which is not possible in a triangle.

So, angle B and angle C cannot be obtuse if angle A is obtuse.

Thus,

No, angle B and angle C cannot be obtuse if angle A is obtuse because the sum of angles in a triangle is always 180 degrees, and if one angle is obtuse, the other two must be acute to satisfy this rule.

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