4x-3y=3
- 8x+6y=-6

solve for x and y

Answer:

I think its 315

Step-by-step explanation:

because I think I have to multiply if u do I think it's 21x2.50x6 and it's equal to 315

After solving the set of linear equation so formed, we conclude that value  of "S" and "J" is 4 and 5 respectively.

As per the question statement, A woman bought "S" shirts at $20 each and "J" jerseys at $ 15 each at a total Cost of $ 155. However, the total cost would have been $190 if she had purchased half as many shirts and twice as many jerseys. We are supposed to find the value of "S" and "J"

Let us first form the set of linear equation so formed.

Cost of one shirt = $20

Cost of "S" shirts = $20 x S = 20S

Cost of one jersey = $15

Cost of "J" jerseys = $15 x J = 15J

Total cost = $155

20S + 15J = 155 is our first linear equation obtained.

Now if however she bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190 and the equation formed will be :

20(S/2) + 15(2*J) = 190

or 10S + 30J = 190, is our second equation

This question is a classic example of forming a set of linear equation in two variable out of any given statement.

Solving the two sets of equation we get, S = 4 and J = 5

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The required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.

Given that,
m∠QPS = 88
m∠RPS = 5x+34
m∠QPR=8x+15
The measure of the angle m∠RPS is to be determined.

The angle can be defined as the one line inclined over another line. the measure of an angle is measured in two units of degrees and in radiants.

Here,
m∠QPR = m∠QPS + m∠RPS
8x + 15 = 88 +  5x + 34
8x  - 5x = 88 + 34 - 15
3x = 107
x = 107 / 3
x = 35.67
Now,
m∠RPS = 5x+34 = 5 * 35.67 + 34 = 212.35°

Thus, the required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.

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Answer:

x = -13

Step-by-step explanation:

-2 (x + 4) = 18

distributive property  -2x + (-8) = 18

simplify   -2x - 8 = 18

cancel out 8 by addition  -2x = 26

cancel out -2 by division  x = -13

It should be noted that the product of 61.18 and 82 will be 5016.76.

It should be noted that a product of a given set of numbers simply means the multiplication of the numbers that are given.

In this case, we want to get the product of 61.18 and 82. This will be:

= 61.18 × 82

= 5016.76

In conclusion, the product of 61.18 and 82 will be 5016.76.

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What is the product of 61.18 and 82?

Answer:

1/2

Step-by-step explanation:

When x = 20, y = 0

When x = 40, y = 10

When x = 60, y = 20

When x = 80, y = 30

When x = 100, y = 40

The slope is the change in y divided by the change in x.

First, find the change in x and y between any two points. We will use the first two points, (20, 0) and (40,10)

The change in x is 40 - 20 = 20

The change in y is 10 - 0 = 10

Divide the change in y by the change in x.

10 / 20 = 1/2

The slope is 1/2

The dimensions of the original shapes are 15 and 25 inches respectively

The formula for volume of a rectangle is expressed as;

Volume = length × width × height

From the information given, we have;

Substitute the values

1875 = 5 × y × y + 10

Divide both sides 5

1875 / 5 = y(y + 10)

expand the bracket

375 = y² + 10y

y² +10y - 375 = 0

y² + 25y - 15y - 375 = 0

y(y + 25) - 15( y + 25) = 0

y= 15 or y = -25

If y = 15 Inches

Width = 15 + 10 = 25 Inches

Thus, the dimensions of the original shapes are 15 and 25 inches respectively

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Answer: 4.5 x 10^-11

Step-by-step explanation:

4.5E-11 = 4.5 x 10^-11      ==> 4.5e-11 is basically 10^-11 multiplied by 4.5

The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)  given below. Therefore, option C is the correct answer.

Given that the shape is reflected across the y-axis.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinates of the given figure are G(-3, -5), H(-2, 0), I(0, -1) and J(1, -4)

When the coordinates of the figure GHIJ are reflected across the y-axis we get G(-(-3), -5), H(-(-2), 0), I(0, -1) and J(-(1), -4)

So, the coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)

The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)  given below. Therefore, option C is the correct answer.

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Answer:

13

Step-by-step explanation:

9 - 3 = 6

5 - 12 = -7

6 - ( -7 ) = 13

Answer:

-1

Step-by-step explanation:

Absolute value means distance from zero.

9-3 is 6 so nothing special there. 5-12, though is negative 7, but since we need the absolute value of that it is just 7.  So our math problem becomes 6 - 7, which is -1.

The parent function behind f(x) = 1 / (x - 4) - 3 is g(x) = 1 / x, which is modified by horizontal and vertical translations.

In this problem we find an expression that is shown as the image of a previous one, whose procedure of transformation must be inferred and explained. A direct inspection let us suppose that parent function might be g(x) = 1 / x and that the resulting expression is the result of a sequence of rigid transformations.

Let suppose that g(x) = 1 / x, then we apply the following two rigid transformations:

Horizontal translation

g'(x) = 1 / (x - 4)

Vertical translation

f(x) = 1 / (x - 4) - 3

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The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

63 = x + (x - 2) + 1/2x

63 = x + x - 2 + 1/2x

63 = 2 1/2x - 2

63 + 2 = 2 1/2x

65 = 5/2x

x = 65 ÷ 5/2

x = 65 × 2/5

= 130/5

x = 26

Recall,

Alan's age = x years

= 26 years

Nate's age = (x - 2) years

= (26 - 2)

= 24 years

Kai's age = 1/2x

= 1/2(26)

= 13 years

Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

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The result of the arithmetic expression as given in the task content is; 112.

It follows from the task content that the given expression is; 38 - (-74).

Hence, in a bid to solve the parentheses, the two negative signs are multiplied to yield a positive sign.

Ultimately, we have the result of the indicated operation as; 38 + 74 = 112.

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All steps to prove for the value of x are given below.

What is meant by Angle bisector?

Angle bisector is refer to a line that split an angle into two equal angles.

Given that;

Measure of ∠DEH = (10x - 2)°

Measure of ∠HEF = (6x + 10)°

Ray EH is angle bisector of ∠DEF.

Now, Ray EH is angle bisector of ∠DEF.

Hence,

1. Measure of ∠DEH = Measure of ∠HEF

Reason = Ray EH is angle bisector of ∠DEF.

2. (10x - 2)° =  (6x + 10)°

Reason = Measure of ∠DEH = (10x - 2)° and Measure of ∠HEF = (6x + 10)°

3. 10x - 2 - 6x = 6x + 10 - 6x

Reason = Subtract 6 both side.

4. 4x - 2 = 10

Reason = Apply sum or difference rule.

5. 4x - 2 + 2 = 10 + 2

Reason = Add 2 both side.

6. 4x = 12

Reason = Apply sum or difference rule.

7. x = 3

Reason = Divide 4 both side.

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The written form of number/expression given; 2-⁴ such that the number is written as a fraction or whole number without exponents is; 1/16

It follows from the task content that 2-⁴ is to be written as a fraction without exponents.

On this note, it follows from the laws of indices that the expression can be evaluated as follows;

2-⁴

= 1/2⁴

= 1/(2×2×2×2)

= 1/16.

Ultimately, the written form of number/expression given; 2-⁴ such that the number is written as a fraction or whole number without exponents is; 1/16.

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The Function that has a range of {y|y ≤ 5} is  mathematically given as

f(x) = –(x – 4)2 + 5

This is further explained below.

Generally, the equation for the function is  mathematically given as

f(x)=-(x-4)^2+5

Where

f(x)=-(x-4)^2+5 is a quadratic function. Its graph looks like a parabola. One of the vertices in the graph is (4,5) and opens in a downward direction.

Proving that f(x)=-(x-4)^2+5≤  5 for all x

[tex]x^2 \geq 0 \Rightarrow(x-4)^2 \geq 0 \\\\-(x-4)^2 \leq 0 \\\\-(x-4)^2+5 \leq 5 \text {. }[/tex]

In conclusion, The Function that has a range of {y|y ≤ 5} is  mathematically given as

f(x) = –(x – 4)2 + 5

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(a) The HCF of ( 9y + x ) and ( 3y + 4x ) is 11x

b) The LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.

The ratio of x and y is given as:

x : y = 3 : 7

Then,

(x / y) = ( 3 / 7)

7x = 3y

(a) HCF of ( 9y + x) and ( 3y + 4x)

Now,

9y + x = 3(3y) + x

9y + x = 3(7x) + x

9y + x = 22x

And;

3y + 4x = 7x + 4x

3y + 4x = 11x

Now, the HCF of 22 and 11 is 11 because 22 = 2 × 11 and 11 = 11 × 1.

Therefore,

HCF of ( 9y + x ) and ( 3y + 4x ) is 11x.

(b) The LCM of (9y+x) and (3y+4x)

We know,

9y + x = 22x and 3y + 4x = 11x

So, LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.

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Answer:

50.2655

Step-by-step explanation:

the probability that the sample contains two white balls and one green ball is 21/40.

In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.

Total number of balls: 7 White and 3 Green = 10 balls

Cases for three balls are drawn at random:

Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]

Case A: 1 White and 2 Green = [tex]\frac{^7C_1 * ^3C_2}{^1^0C_3} = \frac{7*3}{120} = \frac{21}{120} \\[/tex]

Case B: 2 White and 1 Green = [tex]\frac{^7C_2 * ^3C_1}{^1^0C_3} = \frac{21*3}{120} = \frac{63}{120}[/tex]

Case C: 3 White and 0 Green = [tex]\frac{^7C_3 * ^3C_0}{^1^0C_3} = \frac{28*1}{120} = \frac{28}{120}[/tex]

Case D : 0 White and 3 Green = [tex]\frac{^7C_0 * ^3C_3}{^1^0C_3} = \frac{1*1}{120} = \frac{1}{120}[/tex]

The probability that the sample contains two white balls and one green ball = Case B

So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40

Therefore, the probability that the sample contains two white balls and one green ball is 21/40.

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the probability that the sample contains two white balls and one green ball is 21/40.

In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.

Total number of balls: 7 White and 3 Green = 10 balls

Cases for three balls are drawn at random:

Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]

Case A: 1 White and 2 Green = [tex]\frac{^7C_1*^3C_2}{^1^0C_3} =\frac{7*3}{120}= \frac{21}{120}[/tex]

Case B: 2 White and 1 Green = [tex]\frac{^7C_2*^3C_1}{^1^0C_3} =\frac{21*3}{120}= \frac{63}{120}[/tex]

Case C: 3 White and 0 Green = [tex]\frac{^7C_3*^3C_0}{^1^0C_3} =\frac{35*1}{120}= \frac{35}{120}[/tex]

Case D : 0 White and 3 Green = [tex]\frac{^7C_0*^3C_3}{^1^0C_3} =\frac{1*1}{120}= \frac{1}{120}[/tex]

The probability that the sample contains two white balls and one green ball = Case B

So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40

Therefore, the probability that the sample contains two white balls and one green ball is 21/40.

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The diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.

From the question, we have the following highlights

Similar triangles do not have to be congruent triangles

This means that if two triangles are similar, then one triangle  has been dilated to form the other triangle

This also means that

The corresponding angles of the triangles are equal while the corresponding sides of the triangles are not equal

The transformation that supports the above highlights is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.

Hence, the diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.

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Answer: A. or the first one.

Step-by-step explanation: TRUST ME!  Answer correct on Edge.

My first attempt was wrong but my second attempt was correct.

Answer: 471.9 miles

Step-by-step explanation:

This is a right triangle so a^2+b^2=c^2

205^2=42025

425^2=180625

=222650

sqrt222650 =471.9

Answer:

$166.75

Step-by-step explanation:

look at the photo.

Hope this helps. Please mark me brainliest!

Answer: (3+3*5):6

Step-by-step explanation:

[tex](3+3*5):6=\\(3+15):6=\\18:6=\\3[/tex]

Answer:

12

Step-by-step explanation:

1. \: 3 + 15 - 6 \\ 2. \: 18 - 6 \\ 3. \: 12

The percentage is 50%

From the question we are told that  

The  mean is μ= 14 hours

The  standard deviation is σ=1 hour

Generally on the normal distribution curve the mean divides the curve into  two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and  the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )

Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%

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Answer:105 R 0

945 divided by 9 equals

105 with a remainder of 0

Step-by-step explanation:

[tex]\bf \longrightarrow{f(x) = \frac{1}{x - 7} \: \: \: \: , \: \: \: g(x) = \frac{1}{x - 5} }[/tex]

[tex]\bf \longrightarrow{f \circ g = \frac{1}{ \frac{1}{x - 5} - 7} }[/tex]

[tex] \bf \longrightarrow{so \: \: x - 5 \neq0 \: \: , \: \: \frac{1}{x - 5} \neq7} \\ \\ \bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \neq0 \: \: , \: \: \frac{1}{x - 5} \neq0 }\\ \\\bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 5 \frac{1}{7} } \\ \\ \bf \longrightarrow{and \: a < b }\\ \bf \longrightarrow{so \: a = 5 \: , \: b = 5\frac{1}{7} }[/tex]

If the loan offers no payments for the first 5 months, the amount owed by Dillion when he begins making the payments is $2,441.03

What is the effective monthly interest rate on the loan?

The effective monthly interest rate on the loan is determined as the annual percentage rate(APR) of 6.6% divided by 12 months since there are 12 months in a year

effective monthly interest=6.6%/12

effective monthly interest=0.0055

FV=PV*(1+r)^N

FV=the balance owed after 5 months=unknown

PV=the loan amount=$2375

r=effectively monthly interest rate=0.0055

N=number of months that have passed since the loan was taken=5

FV=$2375*(1+0.0055)^5

FV=$2,441.03

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The mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12 is a constant

Expressions are mathematical statements that are represented by constants, variables, coefficients and operators

The expression is given as

9.2y - 7.5y + 2.12

In the above expression, we can see that the variable is y

However, the number 2.12 has no variable attached to it

This means that the number is a constant

Hence, the mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12 is a constant

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The formula of the sequence is aₙ = 13.5 - 3.5n

The sequence is as follows:

10, 6.5, 3, −0.5, −4...

Studying the sequence, it's an arithmetic sequence.

Therefore, using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

common difference = d = 6.5 - 10 = -3.5

a = first term = 10

Therefore, the formula of the sequence is as follows:

aₙ = 10 + (n - 1)-3.5

aₙ = 10 - 3.5n + 3.5

aₙ = 13.5 - 3.5n

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