2x+y=4________(1) and x²+xy=-2_______(2) solve this simultaneously find X and Y​

k/7=32/56

To solve for k, cross multiply:

(k x 56) = (7 x 32)

Simplify:

56k = 224

Divide both sides by 56:

k = 224 / 56

k = 4

Answer:

(4 , 5)

Step-by-step explanation:

Note the point: (x , y) = (11 , 10)

Note that if you are moving left or right, you are changing the x variable.

Note that if you are moving up or down, you are changing the y variable.

In this case, you are starting at (11 , 10)

You move 7 units left (subtract 7 from x):

(11 - 7 , 10) = (4, 10)

You then move 5 units down (subtract 5 from y):

(4 , 10 - 5) = (4 , 5)

(4 , 5) is your answer.

~

Answer:

C = [tex]\frac{3L+120}{4}[/tex]

Step-by-step explanation:

Given

L = [tex]\frac{4}{3}[/tex](C - 30)

Multiply through by 3 to clear the fraction

3L = 4(C - 30) ← distribute

3L = 4C - 120 ( add 120 to both sides )

3L + 120 = 4C ( divide both sides by 4 )

[tex]\frac{3L+120}{4}[/tex] = C

Estimate the product of 3,182 multiplied by 5 by rounding to the nearest hundred, resulting in an estimation of 16,000.

To estimate the product of 3,182 multiplied by 5, we can round 3,182 to the nearest hundred to make the multiplication simpler.

Rounding 3,182 to the nearest hundred gives us 3,200.

We then multiply 3,200 by 5:

3,200 x 5 = 16,000

This estimated product is not an exact answer but gives us a reasonable approximation that is easy to calculate mentally or on paper.

Answer:

14 miles.

Step-by-step explanation:

Let the distance traveled from home to destination = x miles.

Speed while going to friend's house = 35 miles per hour.

Speed while coming back = 40 miles per hour.

Total Time taken for the journey = 45 minutes = 0.75 hours.

Let the time taken while going to friend's house = y hours.

Therefore, the time taken while going to friend's house = (0.75 - y) hours.

To find x and y, model the speeds of both the journeys.

Speed while going to friend's house = Distance/Time.

35 = x/y.

x = 35y (Equation 1).

Speed while coming back = Distance/Time.

40 = x/(0.75 - y).

x = 40(0.75 - y) (Equation 2).

Since x = x, therefore:

35y = 30 - 40y.

75y = 30.

y = 30/75.

y = 0.4 hours.

Put y = 0.4 hours in Equation 1:

x = 35y.

x = 35(0.4).

x = 14.

Therefore, the distance between my friend's house and my house is 14 miles!!!

Answer:

The distance from my house to friend's house is 14 miles

Step-by-step explanation:

* Lets explain how to solve the problem

- Driving to the friend's house rate is 35 miles per hour

- Driving to my home rate is 40 miles per hour

- The round trip took 45 minutes

- We need to find the distance from my house to my friend's house

* At first lets change 45 minutes to hour because the rate of driving

 unit is miles per hour

∵ 1 hour = 60 minutes

∴ 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hour

- Assume that the distance from my house to friend's house is d,

 the time for the trip from my house to the friend's house is [tex]t_{1}[/tex]

 and the time from friend's house to my house is [tex]t_{2}[/tex]

∵ The distance between the two houses is d

∵ Distance = rate of driving × time of the trip

∴ d = 35 × [tex]t_{1}[/tex] = [tex]35t_{1}[/tex]

∴ d = 40 × [tex]t_{2}[/tex] = [tex]40t_{2}[/tex]

- Equate the two equations

∴ [tex]35t_{1}[/tex] = [tex]40t_{2}[/tex]

- Divide both sides by 35

∴ [tex]t_{1}=\frac{40}{35}t_{2}=\frac{8}{7}t_{2}[/tex]

∴ [tex]t_{1}=\frac{3}{4}t_{2}[/tex] ⇒ (1)

- The time of the round trip is [tex]\frac{3}{4}[/tex] hour

∴ [tex]t_{1}+t_{2}=\frac{3}{4}[/tex] ⇒ (2)

- Substitute equation (1) in equation (2)

∴ [tex]\frac{8}{7}t_{2}+t_{2}=\frac{3}{4}[/tex]

∴ [tex]\frac{15}{7}t_{2}=\frac{3}{4}[/tex]

- Divide Both sides by [tex]\frac{15}{7}[/tex]

∴ [tex]t_{2}=0.35[/tex] hour

∵ d =  [tex]40t_{2}[/tex]

- Substitute the value of [tex]t_{2}[/tex] in the equation above

∴ d = 40(0.35) = 14

∵ d represents the distance from my house to friend's house

∴ The distance from my house to friend's house is 14 miles

Answer:

125-3123

Step-by-step explanation:

5 x 25 is 125, subtracted by 15615 which is 3123

Answer:

2. [tex]f(x)=\frac{x^2}{x+5}[/tex]

Step-by-step explanation:

When you replace x=5 into those functions you obtain:

[tex]1. f(x)=\sqrt{x^2-36} = \sqrt{5^2-36} = \sqrt{-11} \\2. f(x)=\frac{x^2}{x+5}=\frac{5^2}{5+5}=\frac{25}{10}[/tex]

We can see that the function number 1, when the x=5 is replaced, falls into the imaginary numbers or complex domain, so the function is not continuous in the real domain.

On the other hand, the second function falls into the real domain whe x=5 is replaced, so the function is continuous in the real domain!

I hope you understand!

Answer: One hour/two miles

Step-by-step explanation:

Distance=Rate*Time

Distance=6 miles

Time=3 hours

Rate is unknown

6Miles=3Hours(Rate)

6Miles/3Hours=Rate

2Miles/1hour

For each hour that passes, he can walk two miles

Answer:

3/2

Step-by-step explanation:

Answer:

1 [tex]\frac{5}{49}[/tex]

Step-by-step explanation:

1. Multiply the numerators

6 x 9 = 54

2. Multiply the denominators

7 x 7 =49

3. You would get 54/79

4. Simplify

When simplifying you would get 1 [tex]\frac{5}{49}[/tex]

Answer:

4.2×10to the 6th or 4,200,000

Step-by-step explanation:

First you have to know that you are multiplying these two numbers. When you multiply exponents like there you add the matissa's (6&7) and add the exponents.

6×10to the 2 * 7×10to the 3rd

42 × 10to the 2+3

42×10to the 5th

Something else you need to know is your matissa cant be higher than 10

So:

4.2 × 10to the 6th is your answer

The sample contains 42 × 10⁵ red blood cells.

When same base is multiplied their powers gets added.

For example - a×a×a×a×a×a = a⁶.Here a has nothing in it's power means it has 1 to it's power.

According to the given question

For every 1 while blood cells an average person has 6x10² times as many red blood cells.

A small sample of blood contains 7 × 10³ white blood cells.

∴ The amount of red blood cells in the sample is

= (7 × 10³)(6× 10²) red blood cells.

= (7×6)(10³×10²)

= 42 × 10⁵ red blood cells.

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Answer:

0.95 + 5.82 = 6.77 for each

27.08/6.77= 4

so he's taking 4 classes

Answer:

The answer is 4 classes.

Step-by-step explanation:

Nathan bought one notebook and one binder for each of his college classes.

Notebooks cost 0.95 each and binders cost 5.82 each.

So, he paid [tex]0.95+5.82=6.77[/tex] dollars

The total cost of notebooks and binders Nathan paid 27.08.

This means he bought these things for [tex]\frac{27.08}{6.77}=4[/tex] classes.

Answer:

7-x^2

Step-by-step explanation:

The required expression will be x² - 7

Expressions are functions separated by an operation sign.

For the given statement:

7 less than number means we are to subtract 7 from the result x² as shown

F(x) = x² - 7

Hence the required expression will be x² - 7

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Answer:

Yo-Yo

Step-by-step explanation:

I do not know all the steps but I just joined but the answer is Yo-Yo!!

Answer:

Option A) r and s

Step-by-step explanation:

we know that

When two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles. If the lines are parallel, then the angles are congruent

In this problem

If lines r and s are parallel

then

m∠5≅m∠13 -----> by corresponding angles

Answer:

the answer on the usa testprep is A.

Step-by-step explanation:

give some brainlest

Answer:

[tex]10 - x[/tex]

Step-by-step explanation:

the difference between a number and 10 simply means ,that number minus 10.

Let that number be x

therefore the difference between x and 10 is written as

[tex]x - 10[/tex]

Answer:

x-10

Step-by-step explanation:it simply means to subtract a number from ten

Answer:

0.8

Step-by-step explanation:

4/5 0.8 80%

hope this is useful

Hey!

------------------------------------------------

Solution and Explanation:

When you want to find the decimal of a number just divide by 100.

4 / 100 = 0.04

------------------------------------------------

Answer:

[tex]\large\boxed{0.04}[/tex]

------------------------------------------------

Hope This Helped! Good Luck!

There are 169 boys and 195 girls in the first-grade class at Park Elementary School.

Let's assume the number of boys in the first-grade class is x. Since there are 26 more girls than boys, the number of girls would be x + 26. The total number of students in the class is 364, so we can calculate the equation:

x + (x + 26) = 364

Simplifying the equation, we get:

2x + 26 = 364

Subtracting 26 from both sides:

2x = 338

Dividing both sides by 2:

x = 169

So there are 169 boys and 169 + 26 = 195 girls.

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Answer:

a. the ratio is 73:100

b. the ratio is 27:73

Answer:  (a) 43  (b) 25.5  (c) 17.5

Step-by-step explanation:

f(x) = 51

Replace f(x) with 51

a) f(x) - 8   = 51 - 8    = 43

[tex]b)\quad \dfrac{1}{2}f(x)\qquad =\dfrac{1}{2}\cdot 51\qquad =\dfrac{51}{2}\qquad =25.5[/tex]

[tex]c)\quad \dfrac{1}{2}f(x)-8\qquad =25.5-8\qquad =17.5[/tex]

The answer is 14 2/3

I hoped this helped youuuuu!!!!!

Answer:

-12 ÷ -3 = 4

Step-by-step explanation:

Two negatives equal a positive

Rate as brainliest plz

Answer:(-0.3,3.25)

Step-by-step explanation:

The midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25)

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,

M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Given P(-2,2.5)  and Q(1.4,4)

So the midpoint = [(-2 + 1.4)/2, (2.5 + 4)/2]

The midpoint =  [(-0.6)/2, (4.5)/2]

The midpoint = ( -0.3, 2.25)

Hence, the midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25).

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Answer:

OC) 4.527 x 10^3

Step-by-step explanation:

To write a number in scientific notation, first move the decimal point to create a number between 1 and 10.

4527. becomes 4.527

To get your exponent, count how many places you moved the decimal. In this case, you moved the decimal three places.

4.527 * 10^3

Answer:

x = 13

Step-by-step explanation:

Given

[tex]\frac{3}{5}[/tex](x + 2) = x - 4

Multiply through by 5 to clear the fraction

3(x + 2) = 5x - 20 ← distribute left side

3x + 6 = 5x - 20 ( subtract 5x from both sides )

- 2x + 6 = - 20 ( subtract 6 from both sides )

- 2x = - 26 ( divide both sides by - 2 )

x = 13

Answer:

10,000 meter's is the answer

Step-by-step explanation:

multiply 20 and 500

-1 x 18 = 18

-2 x 9 = 18

-3 x 6 = 18

-6 x 3 = 18

-9 x 2 = 18

-18 x 1 = 18

Hope this helped!

Nate

To get -18, we can use the factors

To find two numbers that multiply to give -18, we need to consider pairs of factors of -18. The factors of -18 are:

1 and -18

2 and -9

3 and -6

So, the pairs of numbers that multiply to give -18 are:

1 * -18 = -18

2 * -9 = -18

3 * -6 = -18

Therefore, -18 can be expressed as the product of various combinations of these pairs, such as (-2) * 9, (-3) * 6, and so on.

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Answer:

Equation of the line is y=-x+3

Rewritten as an inequality is y ≤ -x+3

Step-by-step explanation:

You find the slope by doing rise over run which ends up being -1/1, so just -1.

The y-intercept is 3.

Slope intercept form is y=mx+b, so y=-x+3 is the answer in slope intercept.

Then ≤ is used because the line is going down and it's shaded to the left, also the line isn't broken, it's solid which means it's equal to, so it would be less than or equal to.

√16 + √40 = √4×4 + √4×10

= 4 + √2×2×10

= 4 + 2√10

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

4+ 2*√10

Step-by-step explanation:

√16 = 4

√40 = √4* √10    

√4=2

√40 = 2 *√10

the square root of 16 plus the square root of 40 simplified is

4+ 2*√10

Answer:

-5

Step-by-step explanation:

Explanation in the picture.