the simplified form of 6ab + 14a - 2ab + 3a is:
A) 21ab B) 4ab + 11a C) ab + 7a D) 4ab + 17a E) 4 + 17a

the solution to the equation 2x - 3 = 7 is:
A) x = 2 B) x = -5 C) x = 5 D) x = 6.5 E) x = 0.5

the solution to [tex]\frac{x}{3} -1 =4[/tex] is:
A) x = 13 B) x= 7 C) x = 9 D) x = 15 E) [tex]x=\frac{5}{3}[/tex]

the expanded form of 3(2y - 1) is:
a) 6y - 3 b) 5y - 1 c) 6y - 1 d) 6y + 2 e) 3y - 3

an equivalent equation to 5x = 2x + 9 is:
a) 2x = 5 b) 3x = 9 c) 0 = 3x + 9 d) 7x = 9 e) x = 9

the solution to the equation 2(x - 3) = 7 is:
a) x = 5 b) x = [tex]\frac{13}{2}[/tex] c) x = 2 d) x = [tex]\frac{1}{2}[/tex] e) x =[tex]\frac{7}{3}[/tex]

Eli is x years old. his sister is 2 years older. the sum of their ages is 22. a simplified equation to represent this is:
a) x + 2 = 22 b) 2x + 2 = 22 c) 2(x + 2) = 22 d) x(x + 2) = 22 e) 2x = 22

if A = [tex]\frac{1}{2}[/tex]bh with A = 360 and h = 40, then the value of b is:
a) 90 b) 4.5 c) 20 d) 18 e) 9

Step-by-step explanation:

the answer is b 5 according to the graph

The coordinates of point ​D' are (36,0).

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

QUAD has coordinates​ Q(0,0), ​U(0,3​), ​A(6​,3​), and ​D(6​,0).

The scale factor for ​Q'U'A'D' is 6.

So, the coordinates of ​Q'U'A'D' after dilation is:

Q'(0,0), ​U'(0,3*6​), ​A'(6*6​,3*6​), and ​D'(6*6​,0).

and Q'(0,0), ​U'(0,18​), ​A'(36​,18), and ​D'(36​,0).

Hence, the coordinate of D' is (36,0).

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The information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

If two figures have three sides similar then they will be similar by side by side property which is written as SSS.

Now in the given figure, the side YD is similar and equal to the side OD so option C will be the correct answer.

Hence the information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.

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4, 3 , 7

To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.

A right triangle is a triangle with one 90-degree angle.

Answer:

1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.

Your answer is 1.

Hope this helps

Answer:

The water in a lake is not safe for drinking, high turbidity levels in the lake​ Coliform bacteria occur innately in soil and in the intestines of humans and other organism.

CORRECT ANSWER: high turbidity levels in the lake​.

Step-by-step explanation:

The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are

sin A = 9 / 41

cos A = 40 / 41

Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.

Therefore,

sin A = opposite / hypotenuse

cos A = adjacent / hypotenuse

tan A = opposite / adjacent

Using Pythagoras theorem, let find the hypotenuse side

c² = 40² + 9²

c = √1681

c = 41

Therefore,

sin A = 9 / 41

cos A = 40 / 41

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Answer:

2 sets

Step-by-step explanation:

we have to divide 4 into 10...

so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.

Answer:

its 7 not 2

Step-by-step explanation:

because

im right

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.

Box Diagram provides a quick visual summary of the variability of values ​​in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.

In this case, the  total spread of Ani is from 4.5 to 9.5 and the  total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.

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Answer:

See below ~

Step-by-step explanation:

Domain : range of x -values

Range : possible y-values

Increasing :

Decreasing :

Constant :

Answer:

57.1 degrees

Step-by-step=

32.9+90=122.9

180-122.9=57.1

Answer:

B

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Because.....

  -11 - 10 = -21

-32 - (-11) = -21

This tells us that the sequence is adding by -21, which is why the next 2 terms will be -53 and - 74 since....

-32 + -21 = -53

-53 + -21 = - 74

Hence, the answer is A.

Answer:

[tex]25 \: or \: {5}^{2} [/tex]

Step-by-step explanation:

Simplify It

[tex]20 + 2 + 3[/tex]

Then calculate it.

[tex]20 + 2 + 3 = 25[/tex]

Answer:

25

Step-by-step explanation:

Given:

20+(5 × 2/5 )+ 3

Solve:

Using the PEMDAS

Which is:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

Thus we have:

20+(5 × 2/5 )+ 3                               {5 × 2/5 = 2}

= 20 + 2 + 3

= 22 + 3

= 25

Kavinsky

when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words

examples:- First

[tex]5 + ( - 2) = 5 - 2 = 3[/tex]

like here we put + in front of 3 as larger number 5 is positive

[tex] - 7 + 5 = - 2[/tex]

we put negative because 7 is larger then 5 and 7 is negative

Answer:

(15squrt3)/2

Step-by-step explanation:

cos30=x/15

Answer:

Every 1/8 month (ie about 4 days) she uses 1/2  a package

So every month she will use 8  x (1/2) = 4 packages

So in 10 months she will use 4 x 10 = 40 packages

Answer:

  D.  96 m²

Step-by-step explanation:

The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.

__

The dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.

The two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.

The total surface area is ...

  lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²

  surface area = 96 m²

_____

Additional comment

The formula for the area of a triangle is ...

  A = 1/2bh

A triangular prism has two congruent triangular faces, so their total area is ...

  A = 2(1/2bh) = bh

We elected to skip the halving and doubling, and go straight to the total base area.

For the given number is 4√18 .The Prime factorization would be 4√18  = 2 x 2 x √2 x √3 x √3.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.

Those composing integers are called factors of that considered integers.

Prime factorization is when all those factors are prime numbers.

Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

For the given number is 4√18

Prime factorization

4√18  = 2 x 2 x √2 x √3 x √3

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Answer:

If the sum is 6, the vacation destination will be London.

If the sum is 7, the vacation destination will be Alaska.

If the sum is 9, the vacation destination will be New Mexico.

If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

Step-by-step explanation:

Create a sample space for the 2 spins (see attached).

From the sample space, the probabilities are:

Therefore, to make a fair decision:

As the sum of 6, 7 and 9 each have equal probabilities (4/16), they should each be attritbuted to one destination.

As the sum of 8, 10 and 12 combined equal the same probability as the sum of 6, 7, and 9 individually, the sum of 8, 10 and 12 should be assigned to one destination combined.

Solution

If the sum is 6, the vacation destination will be London.

If the sum is 7, the vacation destination will be Alaska.

If the sum is 9, the vacation destination will be New Mexico.

If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex]3x + 9 = 5x - 15[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

What interest rate do you need to double your money in 10 years?

R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)

Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%

The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6

The equations are given as:

k(x) = x^2

p (x) = k (x) + n

From the graph, we can see that the graph of k(x) is shifted down by 6 units.

This means that the equation of p(x) is

p (x) = k (x) - 6

By comparison;

n = -6

Hence, the value of n in p (x) = k (x) + n is -6

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Basic perimeter is really easy to understand;

Step-by-step explanation:

10 x 8 = 80 in.

80 in. is your answer! Please mark brainliest and have a great day! :D

The graph of the system of inequalities can be seen at the end of the answer.

Here we have two inequalities:

x < 2

y ≥ - 3

To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.

For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.

Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.

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Answer:

[tex]y=\frac{x}{5}[/tex]

Step-by-step explanation:

hope this helps

Answer:

2210

Step-by-step explanation:

390 =15%

390*3 = 130=5%

130*17=2210

Answer:

6 quarts of salsa in all

"Twice" indicates multiplying by 2, so multiply 2 by 2 to get 4.

That's not the end of the problem, though. "In all" indicates that we must add the values together. 2 plus 4 is 6, so your answer is 6.

Answer:

straight line on 2 on the y axis

Step-by-step explanation:

Its just a straight line on 2 on the y axis