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23-5•4-2(6-1)

Step-by-step explanation:

This figure is not the best, but I'll try my best here

Since BC is parallel to BE (BC is part of BE) and BA is part of BD, two sides are  parallel, making two angles congruent and the triangles therefore similar.

Since BA correlates to BD (they are parallel), we can use the knowledge that BA is 7 and BD is 42 to find the scaling factor to be 42/7 =6 from ABC to DBE. Since BC correlates to BE, BC = 10, and the scaling factor is 6, BC*6=BE= 60 = height

5x+24+5(x+5)

Distribute:

=5x+24+(5)(x)+(5)(5)

=5x+24+5x+25

Combine Like Terms:

=5x+24+5x+25

=(5x+5x)+(24+25)

=10x+49

Answer:= 10x+49

solve for x

10x =-49

10/10x -49/10

x= -4.9

Hope this helps

Answer:

Step-by-step explanation:

this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30

also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides

Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle

CAH = Cos(Ф) = Adj/ Hyp   we are given the Ф angle and we know the hypotenuse so solve for the Adj side

Hyp*Cos(Ф)= Adj

10 * Cos(60) = Adj

5 = Adj = y

Use Sin for the other side  and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet

Sin(Ф) = Opp/ Hyp

Hyp * Sin (Ф) = Opp

10 * Sin(60) = Opp

10 *[tex]\sqrt{3}[/tex]/2 = Opp

5*[tex]\sqrt{3}[/tex] = Opp = x

:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2  from a table and also my memory .. know that one from memory

Answer:

x=3

y=8

Step-by-step explanation:

the given equations are y=3x-1 --------(1)

and y=2x+2---------(2)

Using substitution method,

and solving y=3x-1

y+1=3x

or y+1/3 =x ------(3)

Putting the value of x= y + 1 / 3 in equation 2

y= 2x+2

or, y = 2 ( y + 1/3) +2

or, y= 2y + 2 / 3 +2

or, y = 2y + 2 + 6 // 3 ( Taking LCM)

Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)

OR, 3 Y - 2Y =6 PLUS 2

or y = 8

therefore, y=8

now substituting the value of y=8 in equation (3)

y + 1 /3 = x

or ,,, 8 plus 1 by 3 =x

or,,,,, 9 by 3 =x

Therefore, x is 3

Answer:

The correct option is;

A. 453

Step-by-step explanation:

The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779

Similarly the factors of 926 are 1, 2, 463, 926

Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;

For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;

Top number divided by 2 gives 14/2          [tex]{}[/tex]      = 7

Bottom left number divided by 3 gives 21/3   [tex]{}[/tex] = 7

Bottom right number divided by 4 gives 36/4 = 9

From which we have the number at the center which is 779

Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;

Top number divided by 2 gives 18/2          [tex]{}[/tex]      = 9

Bottom left number divided by 3 gives 6/3   [tex]{}[/tex]  = 2

Bottom right number divided by 4 gives 24/4 = 6

From which we have the number at the center which is 962

Therefore, when we have, the numbers at the vertices as follows;

At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;

Top number divided by 2 gives 8/2          [tex]{}[/tex]      = 4

Bottom left number divided by 3 gives 15/3   [tex]{}[/tex] = 5

Bottom right number divided by 4 gives 12/4 = 3

From which we have the number at the center is 453.

Answer:

1. $17 + $7C.

This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.

2. $3A.

This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.

3. $20M.

This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.

4. $200 + $30M.

This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.

Step-by-step explanation:

Hope this helped!

Answer:

A) $1.60

B) $13.60

C) 3 1/4 lb

Step-by-step explanation:

What we know:

A farmer uses the equation c = 1.6p to calculate the total cost, c, for p pounds of apples.

A) 1 pound would cost $1.60, as that is the unit rate.

B) 8.5 * 1.6

8.5 + (0.6 * 8.5)

8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.

C) 5.2/1.6

52/16

13/4 = 3 1/4 lbs of apple for $5.20

Answer:

440 computers in warehouse B

Step-by-step explanation:

1030=A+B

A=b+150

replace the formula.

a=b+150

so replace the "a"+b=1030

so then it'd be b+150+b=1030

now that's easy.

2b+150=1030

-150       -150

2b=880

/2      /2

b=440

Answer:

25

Step-by-step explanation:

9×(1/3)²+25=9×1/9+25=25

Answer:

its the first one

Step-by-step explanation:

Answer:

[tex]x = \$28.5[/tex]

Step-by-step explanation:

Given

Variation: Direct Proportion

[tex]3.2m = \$38[/tex]

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

[tex]3.2m = \$38[/tex]

and

[tex]2.4m = x[/tex]

Cross Multiply:

[tex]3.2m * x = \$38 * 2.4m[/tex]

[tex]3.2 * x = \$38 * 2.4[/tex]

Solve for x

[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]

[tex]x = \frac{\$91.2}{3.2}[/tex]

[tex]x = \$28.5[/tex]

Hence, the cost of 2.4m length is $28.5

Answer:

d

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

Step-by-step explanation:

..........

Answer:

9

Step-by-step explanation:

In order for this problem to have more than one solution, one will have to make it such that the two sides are equal. Call the unknown quantity "x", and solve this equation like a literal equation;

5u + 3(4u - 6) = -3u - 27 + 20u + x

Simplify, (distribute and combine like terms);

5u + 12u - 18 = 17u - 27 + x

17u - 18 = 17u - 27 + x

Inverse operations;

17u - 18 = 17u - 27 + x

-17u         - 17u

-18 = -27 + x

+27   + 27

9 = x

Answer: 9

Step-by-step explanation:

Answer:

22 November

Step-by-step explanation:

First we have to find the total length she swims in 1 day

= 2(length of the swimming pool) x no. of lengths she swims in 1 day

=2x30x20

=120m she covers in 1 day

10km = 10,000m

no of days= total distance/ distance she covers in 1 day

=10000/120

=83.3 days

Answer:

178 miles

Step-by-step explanation:

Let Eric has driven d miles.

As the rate of charge of driving the truck = 76 cents /mile

So, the charge of driving the truck for d miles = 76d cents= $0.76d

The base fee of the truck was $16.95.

Total money paid at the time of returning the truck = $152.23

So, 16.95+0.76d=152.23

0.76d= 152.23-16.95=135.28

d=135.28/0.76

d=178

Hence, he drives 178 miles.

Answer: x=2

Step-by-step explanation: I download and I see your work and that my answer up there, hope this help

Answer:

B and D (another answer but not sure about the other one)

Answer: A and B

Step-by-step explanation: I just did it

Answer:

2/3

Step-by-step explanation:

Given that:

Number of students = 80

Number of parents = 40

fraction of the ratio of students to the total number of people at the graduation

Total number of people at graduation =. (number of students + number of parents)

80 + 40 = 120

Number of students : total people

80 : 120

80/120 = 8/12 = 2/3

Answer:

A. [tex] x \leq -16[/tex]  

B. b > 11

C. [tex] c \leq -13 [/tex]

D. [tex] x \geq -9[/tex]

Step-by-step explanation:

Given the following algebraic expression;

A. [tex] \frac {3x}{4} \leq 12 [/tex]

We would simplify the equation by multiplying all through by 4;

[tex] 4 * \frac {-3x}{4} \leq 12 * 4[/tex]

[tex] -3x \leq 48[/tex]

Divide both sides by -3;

[tex] x \leq -16[/tex]

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. [tex] 13c \leq -169[/tex]

Divide both sides by 13

[tex] c \leq -13 [/tex]

D. [tex] 3x - 7 \geq 4x + 2[/tex]

Collecting like terms, we have;

[tex] 3x - 4x \geq 2 + 7[/tex]

[tex] -x \geq 9[/tex]

Divide both sides by -1

[tex] x \geq -9[/tex]

Answer:

[tex]4[/tex]

Step-by-step explanation:

Simplify the expression

Answer:

Step-by-step explanation:

Use PEDMAS  {Parenthesis ; Exponent ; Division ; Multiplication ; Addition; Subtraction }

8÷2 + 12*9 - 4*6 =  4 + 12*9 - 4*6     {Division}

                          = 4 +  108 - 24          {Multiplication}

                          = 112 - 24                  {Additon}

                          = 88

Answer: 88

Step-by-step explanation:

Evaluate using PEMDAS.

P = Parenthesis; There are no parenthesis in this expression

E = Exponents; There are no exponents in this expression

M = Multiplication; 12 x 9 = 108, 4 x 6 = 24

D = Division; 8/2 = 4

A = Addition; 4 + (12 x 9) = 112

S = Subtraction; (4 + (12 x 9)) - (4 x 6)

112 - 24 = 88

Answer:

B the second one -1/3

Step-by-step explanation:

hopefully this helps

Answer:

https:brainly.com/question/20068899

[tex]\Large\boxed{\tt Answer: 5\frac{2}{3} }[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

We can solve this by dividing both numbers by four.

[tex]\tt 8\div4=2\\12\div4=3\\\frac{2}{3}[/tex]

We then add that to 5 to get our answer.

Answer: 2 one number 2

Step-by-step explanation:

It's is number 2

The required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Given expression, (4y - 3)² = 72

Simplifying the above expression:
(4y - 3)² = 72

4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4

Thus, the required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

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