Katherine is 17 years younger than Joe. If Joe is 44 years old, how old is Katherine?


_____years old

Answer:

x = -36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

x + 24 = -12

Step 2: Solve for x

Answer:

11x +9

Step-by-step explanation:

Add the two expressions together to get the total number of ice creams sold

8x+16 + 3x-7

Combine like terms

8x+3x + 16 -7

11x +9

Answer:

11x +9

Step-by-step explanation:

Add the two expressions together to get the total number of ice creams sold

8x+16 + 3x-7

Combine like terms

8x+3x + 16 -7

11x +9

Answer:

The answer is just re look at the question A

Answer

THE ANSWER IS A

Step-by-step explanation:

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Answer:

47.50 per calculator

Step-by-step explanation:

Take the total cost and divide by the number of calculators to get the cost of one calculator

190/4 =47.50

Answer:

C

Step-by-step explanation:

Furniture is not counted as property that can be taxed.

Answer:

x = 5

Step-by-step explanation:

I didn't quite understand what you were asking but x should equal 5

Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

A. P ( Z > 0.54)  = 0,7054

B. P ( Z < 0.54)  =  0.2946

C.1) 1  -  0.2946    =  0.7054

D.1)  1  -  0.2946    =  0.7054

Step-by-step explanation:

A) P ( Z > 0.54)  =  1  -  P (  Z  ≤ 0.54)

P (  Z  ≤ 0.54)  =  0,2946          from  z-table

P ( Z > 0.54)  =  1  - 0,2946

P ( Z > 0.54)  = 0,7054

B) P ( Z < 0.54)  =  0.2946

C)  1 - P ( Z < - 0,54)

     1  -  0.2946    =  0.7054

D)  1 - P ( Z <  0,54)

     1  -  0.2946    =  0.7054

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Answer:

(-2 -3)

Step-by-step explanation:

_____________________

Answer:

24.4

Step-by-step explanation:

Given the data :

Month (X) : 0, 1, 2, 4, 6

Weight (Y) : 7.2, 9.4, 10.5, 13.2, 15.9

To obtain the predicted weight at 1 year, we fit the data to obtain the regression model. Using technology, the regression model obtained is :

y = 7.6 + 1.4X1

Substituting x = 1 year into the regression model, we obtained the predicted weight at 1 year ;

1 year = 12 months, hence, x = 12

y = 7.6 + 1.4(12)

y = 7.6 + 16.8

y = 24.4

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]

Scale factor = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{2}[/tex]

                    = 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

Answer:

14 units

Step-by-step explanation:

Side length of each square is 1 unit.

So, sum of the lengths of all the border edges = 14 units

Thus, the Perimeter of the figure = 14 units

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

Answer:

a = 32,37

b=99

Step-by-step explanation:

a = 32,369

The third decimal place is greater (or equal) than 5, so we need to add one unit to the second place.

= 32,37

b = 99,004

The third decimal place is lesser than 5, so we can simply delete it.

= 99,00

Since only zero in every decimal places are not relevant, we can remove them:

= 99

Answer:

20 ways

Step-by-step explanation:

by using combination rule :

6C3 = 6! /(3! × 3!)

= 6×5×4×3! / 3! × 3×2×1

= 20 ways

==========================================================

Explanation:

Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.

We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations

You could use the nPr formula with n = 6 and r = 3 as an alternative method

[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]

The exclamation marks indicate a factorial.

Answer:                                              

The supplementary angle are:

∠2

∠3

∠6

∠7

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]

Required

Find x

To do this, we make use of the following equivalent ratios

[tex]JK:JL = JD:JC[/tex]

This gives

[tex]98 : 63 = 7x + 7:27[/tex]

Express as fraction

[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]

Multiply both sides by 27

[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]

[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]

[tex]3* \frac{98 }{ 7} =7x + 7[/tex]

[tex]3* 14 =7x + 7[/tex]

[tex]42 =7x + 7[/tex]

Collect like terms

[tex]7x = 42 - 7[/tex]

[tex]7x = 35[/tex]

Divide both sides by 7

[tex]x = 5[/tex]

Answer:

1.x= 3/-4-2 = x = 11/4

2.1.5x /1.5 = x

6/1.5=4

x=4

The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

A system of equations is a collection of two or more equations with a same set of unknowns.

In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x

The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.

On solving both the equations

[tex]\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4[/tex]

For 4 doctor visits charges are same and Rate 35 $ per doctor visit.

For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.  

Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

Learn more about system of equation here;

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Answer:

nao sei ispoosksjjdkdddks

Answer:

54

Step-by-step explanation:

Split into 2 rectangles and 2 triangles and calculate area

tan ( 37 ) = x / 12

x = 12 * tan( 37 )

Answer:

D.6,600 ft

Step-by-step explanation:

I hope it helps

Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

For pizza Duo: (the "%" is actually 3/4)

Answer:

w=18.27

Step-by-step explanation:

Using Trig you have opposite and hypotenuse so use SIN

Sin(66)=w/20

20Sin(66)=w

w=18.27

Answer:

-4 and 1

Step-by-step explanation:

-4 times 1 equals -4 and then -4 plus 1 equals 3

The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To find two numbers that satisfy the given conditions, we can set up a system of equations.

Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:

xy = -4 (Equation 1)

x + y = 3 (Equation 2)

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

From Equation 2, we can express y in terms of x: y = 3 - x.

Substituting this into Equation 1, we get:

x(3 - x) = -4

Expanding and rearranging the equation, we have:

3x - x² = -4

Rearranging again, we get a quadratic equation:

x² - 3x - 4 = 0

We can factor this equation:

(x - 4)(x + 1) = 0

Setting each factor to zero, we find two possible solutions for x:

x - 4 = 0 --> x = 4

x + 1 = 0 --> x = -1

Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 4: y = 3 - 4 = -1

For x = -1: y = 3 - (-1) = 4

Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To learn more about the system of equations;

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Answer:

The answer is letter D

Explanation:

Hope it helps!

Answer:

D is the right answer ✔

Explanation: