Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups
of
water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade
has a stronger lemon taste?

Answer:

a) 405, -315 b) 540, -180 c)195, -525

Step-by-step explanation:

a) 45+360= 405, 45-360=-315

b) 180+360=540, 180-360=-180

c) -165+360=195, -165-360=-525

hope this helped

Answer:

30°

Step-by-step explanation:

145-115=30°

it is the answer

Answer:

30

Step-by-step explanation:

Since Angle FGH=FGJ+JGH, we can set the equation 145=115+x

[tex]145=115+x\\145-115=x\\30=x[/tex]

The appropraite statistical test that would be used to measure the difference  in the variability of the mean scores among the three schools is mean absolute deviation.

Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.

MAD =  [tex]\frac{1}{n}[/tex]∑ l x - m(x) l

Where:

To learn more about mean absolute deviation, please check: https://brainly.com/question/27365177

Answer:

1.63 cm

Step-by-step explanation:

Volume of water in Tank A

Volume of Tank B

Finding Height

Answer:

1.63 cm (nearest hundredth)

Step-by-step explanation:

Formulae

Volume of a cuboid = base width × base length × height

Area of a rectangle = width × length

Tank A

Given:

⇒ Volume of Tank A = 7 × 7 × 7 = 343 cm³

Tank B

⇒ Base area of Tank B = 14 × 15 = 210 cm²

Solution

Height = volume of Tank A ÷ base area of Tank B

           = 343 ÷ 210

           = 49/30 cm

           = 1.63 cm (nearest hundredth)

5 1/3 - 2/3

= (5 – 0) + (1/3-2/3)

= 5 + 1-2/3

= 5 +-1/3

 = 4 2/3

in fraction:

= 4 2/3

in decimal:

= 4.6666666666667

90°-53°=37°

The whole angle is right angled

Answer:

d

Step-by-step explanation:

components of a vector is given as

X=vcos■ y= vsin■

substitute the substitute the vector into v and the angle into ■

hence x=-4.89

and y= 3.48

Answer:

17/12=1 5/12

Step-by-step explanation:

the addition of 2/3+3/4=17/12=~1 5/12

Answer:

ABGE is a parallelogram because it has congruent sides

Step-by-step explanation:

:-)

I know that answer

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Answer:

3

Step-by-step explanation:

If you deduct 5 from 8, you get the answer to 5 less than 8.

"5 less than 8" means we subtract 5 from 8:-

8-5

That's the expression :)

Simplify the expression:-

3

So if we have less than a number, we subtract that number.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

10

Step-by-step explanation:

5! / (3! 2!)

[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]

Step-by-step explanation:

[tex]area = l \times b[/tex]

[tex]area = \frac{3}{7} \times \frac{2}{9} [/tex]

[tex]area = \frac{6}{64} [/tex]

[tex]area = 0.09375units ^{2} [/tex]

We can  rewrite (z ≤ −1.75) in order to  4%.

We have given that  (z ≤ −1.75).

We have to use the Normal Distribution is symmetrical

The normal distribution is symmetric and has a skewness of zero.

[tex]P(z \leq -1.75)[/tex]

[tex]P(z > > 1.75)[/tex]

[tex]1 - P(z \leq 1.75)[/tex]

[tex]1 - 0.9599[/tex]

[tex]0.04001 \times 100=4.001 \%[/tex]

That is nothing but the 4%

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Answer:

Step-by-step explanation:

Answer:

B. 8.75

Step-by-step explanation:

Yes, the given set can be the domain of an odd function if:

f(-3) = -f(3)

f(-2) = -f(2).

For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.

And an odd function is a function such that:

f(-x) = -f(x).

In this case, we want to see if the set:

(-3,-2)U(2,3) = (-3, -2, 2, 3)

can be the domain.

It would only be the domain of an odd function if:

f(-3) = -f(3)

f(-2) = -f(2).

If you want to learn more about odd functions, you can read:

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Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:

[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]

[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]

[tex]x_A = 26068.4[/tex]

At point B, the angle is of 43º, hence:

[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]

[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]

[tex]x_B = 8016[/tex]

Hence, the distance in feet is given by:

[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

the answer is 202 square inch

Step-by-step explanation:

Ref. to the diagram I have attached.

First, we can find the area of the square.

Here the side of the square is given 4 inches.

1. So Area of the square= side * side= 4*4= 16 square inches.

Now let's find the area of the smaller rectangle. Now here,

As one side of the square is the same as the breadth of the rectangle, the breadth of the rectangle will be 4 inches, and the length is given 9 inches.

2. So, Area of the smaller rectangle= length* breadth= 9*4= 36 square inches.

Now, lastly, we will find the area of the bigger rectangle:

Here, the length will be 15 inches and the breadth will be 10 inches (as the opposite sides in a rectangle are equal and the values are already given).

3. ∴  Area of bigger rectangle= l*b= 15*10= 150 square inches.

So now,

To find the total area of the figure, we need to add all the areas:

36+ 16+ 150= 202 square in.

ANSWER IS 202 sq. in.  

I know it's a bit long and boring to read, but hope it helps!!

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

Answer:

D

Step-by-step explanation:

We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.

Left piece : 2 x 9 = 18 cm

Middle piece : 5 x 9 = 45 cm

Right piece : 3 x 9 = 27 cm

D is the correct answer.

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Answer: x cannot equal 4/5 (3rd choice)

Step-by-step explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)

Answer:

7

Step-by-step explanation:

the mean is (the sum of numbers in a data set)/(# of points in that data set).

So,

[tex]\frac{4+8+9+x+2}{5} = 6[/tex],

[tex]\frac{23+x}{5} = 6[/tex],

23+x = 6*5

23+x = 30

x= 30-23

x = 7

Hence, the value of x is 7.

Hope this helps!!!

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Answer:

Step-by-step explanation:

36/120 for parts

x-36/120 is for labour

x = 120

120-36/120

84/120

times by 100 for percent

70%

Answer:

15x^2 + 14x - 8.

Step-by-step explanation:

(3x + 4)(5x - 2)

= 3x(5x - 2) + 4(5x - 2)

= 3x*5x + 3x*-2 + 4*5x + 4*-2

= 15x^2 - 6x + 20x - 8

= 15x^2 + 14x - 8.

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]

[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]

[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]

[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

From the question, we have the following parameters:

We start counting from 1023, 1024, 1025, 1026...........

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

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Answer:

There's enough soil to plant 8 herbs.

Step-by-step explanation:

24 ÷ 2 7/8 = 8.3

This shows that there's enough soil to plant 8 herbs.