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Since the box represents a proportional relationship, the empty box would be = 22.

When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.

For example, using the figures given above;

8 pages of notes = 16hours

1 page = 16/8 = 2 hours

Therefore, each page should be times by two to give the number of hours.

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Answer:

Naira 583200

Step-by-step explanation:

500000 × 1.08² = 583200

Answer:

y = 3(x-1)

Step-by-step explanation:

Here is an example so you know it works.

Regular: I pick 58 I take away 1 = 57*3=171

Algebraically: y = 3(58-1) First do parenthesis

y = 3(57)

y = 171

Hope this helps!!

Answer:

b=Ah

Step-by-step explanation:

multiply both sides by h

Answer:

a

Step-by-step explanation:

Answer:

x= 48 and y= 42

Step-by-step explanation:

x= 90-42

x= 48

y= 90-48

y= 42

Answer:

y = -6

Step-by-step explanation:

y = mx +  b

-6 = -5(0) + b

b = -6

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

Answer:

cylinder

Step-by-step explanation:

Answer:

not for sure sorry

Step-by-step explanation:

sorry

Answer:

Slope: -3/4

y-intercept: (0,-5)

Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation

$12x17.5=210

$11x12.5=137.5

210+137.5=$347.5

Elizabeth worked for 17.5 Hours

Her sister worked 12.5 hours

Answer: The answer is B

Step-by-step explanation:

Answer:

I assume that there are parentheses missing from the question and that it should be

Prove that  1 + sin 2A + cos 2A                                                                                                                                                                            ----------------------------------------------  = cot A

1+sin2A−cos 2A

Use sin 2 A= 2 sin A cos A and

cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1

Answer:

4

Step-by-step explanation:

By Using the Transformations of the parabola

[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]

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

[tex]y = (x - h)^2[/tex]

Reflection in x-axis  

[tex]y = -(x^2)[/tex]

Reflection in y-axis

[tex]y = (-x)^2[/tex]

stretches away from the x-axis or compresses toward the x-axis

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

| a | > 1 is a stretch;

0 < | a | <1 is a compression

stretches away from the y-axis or compresses toward the y-axis

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

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have [tex]y=x^2[/tex]

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

[tex]y = -(x+5)^2+7[/tex]

5) Vertical stretch by a factor of 4, shift down 11 units

[tex]y=4 x^{2} +7[/tex]

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

[tex]y=-(x-2)^{2} +3[/tex]

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Answer:

FIGURE 1:

x = 118; y = 96

FIGURE 2:

x = 85; y = 65

Step-by-step explanation:

FIGURE 1:

You know that x = 118 because of the Corresponding Angles theorem.

Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.

FIGURE 2:

In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.

Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.

Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

Answer:

1.C 2.A

Step-by-step explanation:

FIRST

Answer:

1= C

5= A

Step-by-step explanation:

Answer:

L = (P - 2W)/2

Step-by-step explanation:

This is the formula for perimeter

P = 2L + 2W

Sustract 2W on both sides:

P-2W= 2L

Divide both sides by 2:

(P-2W)/2 = L

L= (P-2W)/2

Answer:

Solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

Step-by-step explanation:

We are given equations:

[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]

We need to solve by Elimination method.

Elimination method: Add or subtract the equations to get an equation in one variable.

Rearranging the equation 1 we get

[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]

Add eq(1) and eq(2)

[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]

So, after eliminating y we get x=-1

Now finding y by putting x in eq(1)

[tex]y=x-1\\y=-1-1\\y=-2[/tex]

We get y=-2

So, solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

Answer:

[tex]A.) 25[/tex]

Step-by-step explanation:

[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:

[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]

Now simplify the equation, starting with exponents (PEMDAS):

[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]

Simplify subtraction:

[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]

:Done

Answer:

c= 14-7i-zdi

d=14/zi - 7/z - c/zi

Step-by-step explanation:

Solve for c by simplifying both sides of the equation, then isolating the variable.

Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.

Answer:

2

Step-by-step explanation:

Answer: 17 to 15

Step-by-step explanation:

Answer: 3/2

Step-by-step explanation:

To find slope you use the formula: m= y2-y1/x2-x1

So plugging stuff in it’s (7-4)/(3-1)

This comes out to be 3/2

Which means when graphing you go up 3 and right 2

Answer:

48.76%

Step-by-step explanation:

Here is the complete question;

A brand of cereal had 1.21milligrams of iron per serving. Then they changed their recipe so they had 1.8mg of iron per serving. What was the percent increase in iron?

Given

Initial amount of iron in cereal per serving = 1.21mg

final  amount of iron in cereal per serving =1.8mg

Required

Percentage increase in iron

Increment = 1.8mg - 1.21mg

Increment = 0.59mg

% increase in iron = increment/original amount * 100%

% increase in iron = 0.59/1.21 * 100

% increase in iron = 0.4876 * 100

% increase in iron = 48.76%

Hence the percent increase in iron is 48.76%

9514 1404 393

Answer:

  2335.515

Step-by-step explanation:

The first increase multiplies the original amount by 1 + 5% = 1.05.

The second increase multiplies the already increased amount by 1 + 18% = 1.18.

Then the final amount is ...

  1885(1.05)(1.18) = 2335.515

Answer:

$220.87 but 220.88 if u have to round up :)