Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should he use?

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

Answer: Point A

Step-by-step explanation:

The temperature at midnight is;

= 5 - 15

= -10°C

Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.

With point A being -10°C, it represents the colder midnight temperature.

Answer:

Point A

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

Answer:

17.0

Step-by-step explanation:

right angle with angles 45, 45 and 90

SOHCAHTOA

cos 45 = A/H

Cos 45 = 12/r

r= 12/cos 45

r= 16.97

Answer:

Step-by-step explanation:

Answer:

The value is  [tex]m = 0.9022[/tex]

Step-by-step explanation:

From the question we are told that

    The length of the treads is  [tex]a = 9 \ inch[/tex]

     The length of the risers is  [tex]b = 8.12 \ inch[/tex]

Generally the slope of the staircase is

         [tex]m = \frac{b}{a}[/tex]

=>       [tex]m = \frac{8.12}{9}[/tex]

=>       [tex]m = 0.9022[/tex]

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Answer:

0.125

Step-by-step explanation:

First, remove the 1/8 by subtracting 1/8 on both sides

-3p = -3/8

Then, isolate the variable by diving each side by -3

p = 0.125

Answer:

0.125

Step-by-step explanation:

did the test and got it right!!

Answer:

D. 40 dimes and 20 quarters

Step-by-step explanation:

40 dimes= $4 because 10 dimes= $1

20 quarters= $5 because 4 quarters= $1

The other options are above $10. I hope this helps!!!! :D

Answer:

The sale price is $34

Step-by-step explanation:

If we are given the regular price P and the markdown percentage r, we follow these steps:

1) Calculate the markdown or discount amount M.

M = P*r/100

2) Subtract it from the regular price:

S = P - M

S is the sale price.

Example: The regular price is $40 and the markdown percentage is 15%. Thus:

1) M = $40*15/100 = $6

2) S = $40 - $6 = $34

The sale price is $34

Answer:

[0, ∞)

Step-by-step explanation:

The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).

If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).

Answer:

B

Step-by-step explanation:

2x+3y=12

3y=12-2x

y=-2/3x+4

B

Hope this helps plz hit the crown :D

Answer:

[tex]\frac{11}{5}[/tex]

Step-by-step explanation:

1. isolate x by adding 7 to the other side (7+4)

5x - 7 = 4

5x = 11

2. divide by 5 to get x alone

x = 11/5

Answer:

Step-by-step explanation:

5x - 7 = 4

5x=4+7

5x=11

x=11/5

x=2.2

Answer/Step-by-step explanation:

✔️<1 can be named in two ways using letters, with the middle letter being the letter of the vertex of the angle. Thus is can be named as:

[tex] \angle ADB [/tex] or as [tex] \angle BDA [/tex]

✔️It is unclear to name <1 as <D because <2 can equally be named as <2 since both angles share a common point or vertex D.

Answer:

UwU UwU UwU UwU

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I said so

Answer:O0

Step-by-step explanation:

2*(v-2)-(-3-2*v)=0

STEP

1

:

Equation at the end of step 1

(0 - 2 • (v - 2)) - (-2v - 3) = 0

STEP

2

:

Equation at the end of step 2

7 = 0

STEP

3

:

Equations which are never true:

3.1 Solve : 7 = 0

Answer:

No solution

Step-by-step explanation:

Given: -2(v-2)=-3-2v

Distribute -2 at the left side of the equal sign:

-2v+4=-3-2v

Put all like terms in one side:

-2v+2v=-3-4

Combine all like terms:

0=-12

Answer: No solution

Decimal: 1.17865691489

Fraction: 97/88

Mixed Fraction: 1 9/88

I hope this helps you

Have an awesome weekend :)

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation.

Let x represent the second number

3x + 2 will be the first number because it is 2 more than triple x

This makes our equation:

3x + 2 + x = 30

Combine like terms

4x + 2 = 30

Subtract 2 from both sides

4x = 28

Divide both sides by 4

x = 7

The smaller number aka the second number is 7

Answer:

3.5 times 2 equals 7 so try 2.5 times 2 which would be 5, 5 could be the answer but im not sure :)

Answer:

x - intercept:  (-22, 0)

y - intercept: (0, 11)

Step-by-step explanation:

Given the linear equation

-3x + 11y = 66

Determining the x-intercept

We know that the x-intercept can be computed by setting the value y=0 and solving for x.

substitute y = 0

-3x + 11y = 66

-3x + 11(0) = 66

-3x + 0 = 66

-3x = 66

Divide both sides by -3

-3x/-3 = 66/-3

x = -22

Thus, the ordered pair representing the x-intercept : (-22, 0)

Determining the y-intercept

We know that the y-intercept can be computed by setting the value x=0 and solving for y.

substitute x = 0

-3x + 11y = 66

-3(0) + 11y = 66

0 + 11y = 66

11y = 66

Divide both sides by 11

11y/11 = 66/6

y = 11

Thus, the ordered pair representing the y-intercept : (0, 11)

Therefore, we conclude that:

x - intercept:  (-22, 0)

y - intercept: (0, 11)

Answer:

X=(-22,0)

Y=(0,6)

Answer:

the answer is 341(I think)

113 = 3 • 36 + 5

(That is, 36 = 6² is the largest power of 6 that fits into 113. The next power 6³ = 216 exceeds 113.) Then

113₁₀ = 3 • 6² + 5 • 6⁰ = 305₆

Answer:  [tex]-p^2-(q+r)^2[/tex]

Work Shown:

I'm assuming your teacher wants you to factor as much as possible.

[tex]-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\[/tex]

In the last step, I used the rule that [tex](a+b)^2 = a^2+2ab+b^2[/tex]

We cannot factor any further. If the first term was [tex]p^2[/tex] instead of [tex]-p^2[/tex], then we could use the difference of squares factoring rule.

Answer:

y - 5 = 6(x+1)

Step-by-step explanation:

if it is perpendicular to a line whose slope is -1/6, the slope of this line is the negative reciprocal which is 6.

y - 5 = 6(x+1)

this is point slope form btw

Answer:

Angles measuring 90°, 45°, and 45°: Can make triangle

Angles measuring 27°, 35°, and 108°: Can not make triangle

Angles measuring 82°, 41°, and 57°: Can make triangle

Sides measuring 8 cm, 12 cm, and 5 cm: Can make triangle

Sides measuring 7 in., 4 in., and 13 in: Can not make triangle

Sides measuring 43 cm, 41 cm, and 58 cm: Can make triangle

Step-by-step explanation:

For the angles to form a triangle, there sum must be equal to 180°

Angles measuring 90°, 45°, and 45°

Sum of Angles = 90° + 45° +45° = 180°

Hence, this combination can make triangle.

Angles measuring 27°, 35°, and 108°

Sum of Angles = 27° + 35° + 108° = 170° ≠ 180°

Hence, this combination can not make triangle.

Angles measuring 82°, 41°, and 57°

Sum of Angles = 82° + 41° +57° = 180°

Hence, this combination can make triangle.

For three sides to form a triangle the sum of the two sides must be greater than the length of third side.

Sides measuring 8 cm, 12 cm, and 5 cm

(8 cm + 12 cm) > 5 cm (True)

(8 cm + 5 cm) > 12 cm (True)

(12 cm + 5 cm) > 8 cm (True)

Hence, this combination can make triangle.

Sides measuring 7 in., 4 in., and 13 in

(7 in + 4 in) > 13 in (False)

Hence, this combination can not make triangle.

Sides measuring 43 cm, 41 cm, and 58 cm

(43 cm + 41 cm) > 58 cm (True)

(43 cm + 58 cm) > 41 cm (True)

(41 cm + 58 cm) > 43 cm (True)

Hence, this combination can make triangle.

Answer:

A- Angles measuring 90°, 45°, and 45°.

C- Angles measuring 82°, 41°, and 57°.

D- Sides measuring 8 cm, 12 cm, and 5 cm

F- Sides measuring 43 cm, 41 cm, and 58 cm.

Step-by-step explanation:

I got it wrong for you guys :D

There is the picture for proof, Have a Wonderful day to anyone who see's this

:)

Answer: B

Step-by-step explanation:

The lines outside the number on the left represent absolute value, meaning it doesnt matter if it is negative you just count it as positive. Since the number on the left is greater than the number on the right, the answer is B

Answer:

Step-by-step explanation:

Answer:

£30

Step-by-step explanation:

→ Model the situation in terms of x

Richard = x, Natasha = 3x and Krutika = 6x

→ Now put the values into ratio form

6x : 3x : x = 50

→ Collect the x terms

10x = 50

→ Divide both sides by 10 to isolate

x = 5

→ Substitute x = 5 into Krutika

6 × 5 = 30

Answer:

£30

Step-by-step explanation:

Let's break down the information given to help us find how much Krutika gets.

"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.

"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].

We know that the total money is £50, so we can write the equation:

[tex]r+3r+6r=50[/tex]

[tex]10r = 50[/tex]

[tex]r=5[/tex]

∴ Richard gets £5.

Since the money Krutika gets can be expressed as [tex]6r[/tex]:

[tex]6(5) = 30[/tex]

∴ Krutika gets £30.

Hope this helps :)

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                                              .       .

Answer:

ONE

Step-by-step explanation:

Answer:

8. y = -4

Step-by-step explanation:

2 ( -2y - 6 ) + 10 = -4y + 22 + 6y

-4y - 12 + 10 = -4y + 22 + 6y

-6y = 12 - 10 + 22

-6y = 24

y = -4