40= x²-y²
21= xy
find x and y​

The cost of renting the car for one day and driving 200 miles is $54.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.

Establishing the equation for finding total cost y for x miles and d days

y = 18d + 0.2x

For 200 miles, the cost =

y = 18×1+0.20×200

y = 18+40

y = $54

Hence, the cost of renting the car for one day and driving 200 miles is $54.

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Answer: [tex]\frac{c}{d} = \frac{a}{b}[/tex]

Step-by-step explanation:

By the given figure, the triangle's sides appear congruent. By the Segment Addition Postulate:

RT + TQ = RQ and

RU + US = RS

Substitute this with the given variables.

c + d = RQ

a + b = RS

From this, we can create the following proportion:

[tex]\frac{c}{d} = \frac{a}{b}[/tex]

Answer:

The answer to the question is C

The rates of change in attendance in week 1-4 is 33, week 4-6 is -11, week 6-10 is -37 people per week

The rate of change in attendance with respect to time is calculated by taking the difference in attendance between two weeks and dividing by the number of weeks between those weeks. This is done to find the average rate of change in attendance per week. The formula used is:

[tex]Rate =\frac{Attendance at week 2 - Attendance at week 1}{week 2 - week 1}[/tex]

Weeks 1-4:

The rate of change in attendance with respect to time is 33 people per week. This can be calculated by taking the difference in attendance between weeks 1 and 4 (230-131) and dividing by the number of weeks between those weeks (4-1 = 3).

[tex]rate =\frac{230-131}{4-1}\\[/tex]

hence rate is 33 people per week

Weeks 4-6:

The difference in attendance between weeks 4 and 6 (230 - 208)

The number of weeks between those weeks (6-4 = 2).

[tex]rate =\frac{208-230}{6-4}[/tex]

Hence rate is -11 people per week

Weeks 6-10:

The difference in attendance between weeks 6 and 10 (60-208)

The number of weeks between those weeks (10-6 = 4).

[tex]rate=\frac{60-208}{10-6}[/tex]

Hence rate is -37 people per week

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Answer:

B =90  A= 55 C=35

Step-by-step explanation:

B is a  right angle =90 degrees

The sum of all angle in a triangle is 180

so the other 2 angles sum 90

(5x+5) +(3x+5) = 90

8x+10 =90

8x= 80

x= 10

 A:     5x10 +5 = 55

  B 3x10 +5 = 35

90+ 55+35 =180

The value of x = -7 and y = 9 from the system of equations .

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The equations are :

-x - y = -2          (i)

and

5x + 7y = 28        (ii)

multipling eqation (i) with 5 and then adding both equations we get,

-5x - 5y +5x + 7y = -10 + 28

⇒ 2y = 18

⇒ y = 9

Again, -x -9 = -2

or, x = -7

The value of x = -7 and y = 9 from the system of equations

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Volume of trianglular prism:

= ½ × b × h × l

= ½ × 8 × 4 × 7

= 4 × 28

= 112 cm³

Answer:

112 sq cm

Step-by-step explanation:

8x4=32

32/2=16

16x7=112

Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.

Proportion refers to two or more ratios equated to each other.

We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.

The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.

The percentage of ore that is pure silver = 1¹/₂% = (0.015)

The quantity of silver needed = 30 kilograms

The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)

1¹/₂% = 30 kg

100% = 2,000 kg (30/1¹/₂%)

Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.

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Answer:

All real numbers

Step-by-step explanation:

When looking at what numbers of x could be part of the functio, we can see that all real numbers can be found in this function for x

Answer:

135 Adult tickets and 70 Child tickets sold

Step-by-step explanation:

135*10 (adult ticket price) = 1,350

70*3 (child ticket price) = 210

$1,350 + $210 = $1,560

135 + 70 = 205 tickets sold

Answer:

C 64 students have half the height

Answer:

53/75

Step-by-step explanation:

15 = 3 × 5

25 = 5²

PPCM = 3 × 5² = 75

75/15 = 5

75/25 = 3

7/15 + 6/25 =

= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)

= 35/75 + 18/75

= 53/75

The mapping does not represents a function

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

In this case, for the mapping represent a function, every element in set A must be mapped to exactly one element in set B.

Since there is more than one arrow from set A (5) pointing to different values in set B (-2 and 9), then it is not a function. Also, the two different value (5 and 7) in set A has the same value (-2) in set B.

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Answer:

4 inches is the radius

Step-by-step explanation:

Answer:

Its 144

Step-by-step explanation:

I did it on a test

The surface area of the square pyramid is 132 m²

For a square pyramid whose base has sides that measure b, and height h, is:

S = b*b + 4*(b*h)/2

In this case, we have:

Replacing that in the surface area equation, we get:

S = (6m*6m) + 4*(6m*8m)/2 = 132 m²

So the correct option is the first one.

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Answer:

1/5

Step-by-step explanation:

2/5x1/2=2/10=1/5

Answer:

y=4x+10

Step-by-step explanation:

If $10 is a flat fee, then that is your constant; it doesn't change.

If $4 per car, then 4 is your coefficient.

Therefore, your equation is y=4x+10

Answer: 5

Step-by-step explanation:

Volume = h × l × b

= 3.6 × 2.1 × 1.5

= 11.34 m³

Answer:

i forgot

Step-by-step explanation:

EF=2.73m;m<D

=65;m<F=25*

Hope this helps

The gross price for the 210 pieces that Lance completed last week is $468.6.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Amount received by Lance Greene for one piece = $2.20.

Also, Lance gets 10% bonus per piece after 180 pieces.

Given that, last week Lance completed 210 pieces .

Price for 210 piece = 210 x 2.20  = 462

Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6

Total price = 462 + 6.6 = 468.6

The required gross price is $468.6.

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Answer:

B. Increases from left to right

Step-by-step explanation:

I calculated it logically

The initial amount that was invested in the account was $49.

We know that we can be able to obtain the principal by the use of the formula for the simple interest and by that formula we would now have that;

I = PRT/100

I = interest

P = principal

R = rate

T = time

Then we are going to have that;

R = 2.7

P = ?

I = 6.62

T = 5

Then;

6.62 = P * 2.7 * 5/100

6.62 * 100 =  P * 2.7 * 5

P = 6.62 * 100/2.7 * 5

P = 662/13.5

P = 49

Thus we have but in at the beginning about $49

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the blank space must be 2 or x must be zero, I don't know what you mean by one solution

the blank must equal 2 because on the right side the coefficient of x is 2 so it must be same

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.

Slope-Intercept Form:

Slope-Intercept form is expressed as: [tex]y=mx+b[/tex], where

This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.

The line is parallel to [tex]y=3x-4[/tex], meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).

So we can generally form an equation: [tex]y=3x+b\text{, }b\ne-4[/tex], so we can plug any value for "b" here (except -4) and have a parallel line

Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: [tex]y=3x+b\text{, }b\ne-4[/tex], and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.

Original Equation:

[tex]y=3x+b[/tex]

Point given: (3, 2), substitute in x=3 and y=2:

[tex]2=3(3)+b[/tex]

Simplify:

[tex]2=9+b[/tex]

Subtract 9 from both sides:

[tex]-7=b[/tex]

Now we can take this value. and plug it back into the general equation:

[tex]y=3x+(-7)\implies y=3x-7[/tex]

Now we have our answer!