Solve the system by the substitution method.

X+Y=-3
Y=-4x

Answer:

ne solution was found :

                  r = -2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

               8*(x+6)-10+r-(3*(x+12)+5*x)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((8•(x+6))-10)+r)-(3•(x+12)+5x)  = 0  

Step  2  :

Equation at the end of step  2  :

 ((8 • (x + 6) -  10) +  r) -  (8x + 36)  = 0  

Step  3  :

Equation at the end of step  3  :

 r + 2  = 0  

Step  4  :

Solving a Single Variable Equation :

4.1      Solve  :    r+2 = 0  

Subtract  2  from both sides of the equation :  

                     r = -2  

One solution was found :

                  r = -2

Step-by-step explanation:

The correct answer is 4737768399700 Hope this helps!

it equals 7.7377684

The average low temperature for January was 40 °F - 100%.

The average low in February was x °F - 27% lower, that is 100%-27%=73%.

Write a proportion:

[tex]\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2[/tex]

Answer: the average low in February was 29.2 °F.

Answer:

m∠EFB = 157°

Step-by-step explanation:

We are given that m∠CFE = 90°

m∠AFB = 23° so;

m∠BFC = 90° - 23° = 67°

m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°

Answer:

D. 157°

Step-by-step explanation:

Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°  

The number that belongs in the green box is 2.

Based on the information provided, which relates to probability and the use of a calculator, we can assume the question pertains to Mathematics, likely within a Middle School curriculum where basic probability and calculator skills are taught.

When dealing with shuffled cards or marbles in a bag, one typically calculates probabilities or expected outcomes

There are a total of eight cards: five green cards and three yellow cards.

Since the cards are well shuffled, the probability of drawing a green card is 5/8.

The probability of drawing a yellow card, in this case, would be 3/8.

Since the green cards are marked with the numbers 1, 2, 3, and 4, the number that belongs in the green box would be 2.

Final answer:

To find the number in the green box, calculate the ratio of green cards to total cards.

Explanation:

The number that belongs in the green box can be found by calculating the ratio of green cards to total cards. In this case, there are 5 green cards out of 8 total cards. To find the number that belongs in the green box, we can use the formula:

Number in green box = green cards / total cards

Number in green box = 5 / 8

Using a calculator or simplifying the fraction, we find that the number in the green box is 5/8 or approximately 0.625.

Answer: Concave UP

Step-by-step explanation:

The polynomial is an even degree (4) so it will look similar to a parabola (U-shaped if positive, ∩-shaped if negative).

see attachment to see what this graph looks like.

The answer is 4.269 cause if You do it the long divison way you will see how

its D or the 4th answer

Answer:

B. f(x) = (x + 3)2 − 6

Step-by-step explanation:

Answer:

[tex]f(x)=(x+3)^2-6[/tex]

Step-by-step explanation:

We have been given a function [tex]f(x)=x^2+6x+3[/tex]. We are asked to find the function equivalent to our given function in vertex form.

To convert our given function in vertex form, we need to complete the square for our given function as:

Add and subtract [tex](\frac{b}{2})^2[/tex] from equation:

[tex](\frac{b}{2})^2=(\frac{6}{2})^=3^2=9[/tex]

[tex]f(x)=(x^2+6x+9)+3-9[/tex]

[tex]f(x)=(x^2+2\cdot 3x+3^2)-6[/tex]

[tex]f(x)=(x+3)^2-6[/tex]

Therefore, the [tex]f(x)=(x+3)^2-6[/tex] is equivalent to our given function in vertex form.

Answer : 2.0 mph

Haji rows his canoe 10 mph in still water

Speed of still water = 10 mph

Let the speed of the current = x

Upstream speed = 10 - x

Downstream speed = 10+x

Upstream Distance = 4 miles

Downstream Distance =  6 miles

[tex]Time = \frac{Distance}{speed}[/tex]

Time taken on upstream =  [tex]\frac{4}{10-x}[/tex]

Time taken on downstream =  [tex]\frac{6}{10+x}[/tex]

Same time taken for both upstream and downstream

So [tex]\frac{4}{10-x} = \frac{6}{10+x}[/tex]

Cross multiply it

4(10+x) = 6(10-x)

40 + 4x = 60 -6x

Add 6x  and subtract 40 on both sides

10x = 20 (divide by 10)

x= 2

So speed of the current = 2.0 mph

The approximate speed of the current that day is 2.0 mph.\

The correct option is A.

Given

The speeds of the current = x

Upstream speed = 10 - x

Downstream speed = 10+x

Upstream Distance = 4 miles

Downstream Distance =  6 miles

Speed is defined as the fraction of the total distance and time taken to complete it.

The following formula is used to calculate speed;

[tex]\rm Speed =\dfrac{Distance}{Time}[/tex]

Therefore,

The approximate speed of the current that day is;

[tex]\rm = \dfrac{Upstream \ distaance}{Upstream \ speed}= \dfrac{downstream \ distaance}{downstream \ speed}\\\\ \dfrac{4}{10-x}=\dfrac{6}{10+x}\\\\4(10+x)=6(10-x)\\\\40+4x=60-6x\\\\4x+6x=60-40\\\\10x=20\\\\x= \dfrac{20}{10}\\\\x=2[/tex]

Hence, the approximate speed of the current that day is 2.0 mph.

To know more about Speed click the link given below.

https://brainly.com/question/7430699

Simplify [tex]\frac{12}{84}[/tex], 84 ÷ 12 = 7, so, [tex]\frac{12}{84}[/tex] as a unit fraction equals; [tex]\frac{1}{7}[/tex]

~

1/7

This is because 84 is divisible by 12 and  that would leave 7 in the denominator with 1 on top

1) Graphing- If you graph the numbers you will easily be able to identify the answer.

2) Substitute- Substitute numbers in for x or y until they're equal on both sides.

EX: 2x+2=10

Substitute numbers in until you get a number that makes it equal on both sides

x= 4

3) Elimination- Eliminate numbers from both sides until they're equal.

Hope this helped! :)

Hello!

The volume of the handball is 57.91 [tex]cm^{3}[/tex]

Use the formula to calculate the volume.

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

V = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]2.4^{3}[/tex]

V = 57.91  (Rounded to the nearest hundredths)

Answer:

The guy above is completely correct.

Just in case if no one believes him.

Step-by-step explanation:

Please give him brainliest.

Distance = √((x2-x1)^2 + (y2-y1)^2)

Distance = √((-1 - 6)^2 + (14 - -16)^2)

Distance = √( -7^2 + 30^2)

Distance = √(49 + 900)

Distance = √949

Distance = 30.8

Answer:

(1,1.5) (2, 3), etc.

Step-by-step explanation:

For each bottle sold, you go across the x-axis (the one that's horizontal) one time, and go up the y-axis (the one that's vertical) one and a half times. Hope this helps!

K.27. This is because if you were to factor a^2-b^2, you get (a+b)(a-b)=648. If you substitute a-b for 24, it would lead the equation to be 24(a+b)=648. Divide 24 from both sides to get the answer.

To find the value of (a+b), substitute a-b into the equation [tex]a^{2} - b^{2} = 648[/tex] and solve for (a+b). The value of (a+b) is 27, i.e., option K.

To find the value of a+b, we can use the formula for the difference of squares: [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]. Given that a-b = 24, we can substitute this value into the equation. So, we have:
648 = (a+b)(24)
Now, divide both sides of the equation by 24 to isolate (a+b):
(a+b) = 648/24 = 27. Therefore, the value of (a+b) is 27.

https://brainly.com/question/34500159

#SPJ2

The skunk sprayed 21 people.

He sprayed 21 people.

Explanation: 30/100=0.3 ((1% of 30 is 0.3))

0.3x70(%)= 21

32 tens is the same as 320.

hope that helps :)

Add the ratios:

75 +1 = 76

Divide the total by that:

380 / 76 = 5

Multiply each ratio by 5:

75 * 5 = 375

1 * 5 = 5

There is 375 centigrams of inherit

and 5 centigrams of active

Let x be the speed of the motorboat and y be the speed of the current.

Then, for downstream, the speed is x + y.

Now, speed = distance/time.

Distance = 80 miles.

Time for downstream = 4 hours.

So, x + y = 80/4 = 20     (1)

Against the current, that is for upstream, the speed is x - y.

Time for upstream = 5 hours.

x - y = 80/5 = 16     (2)

Adding (1) and (2), we get,

2x = 36

x = 18

Hence, rate of the motorboat in calm water = 18 miles/hour.

In order to answer this question, you must convert each number into 3 different fractions. This can be done by  multiplyhing the number by the denominator (The denominator is the bottem part of the fraction) as you go up, for example, for 2 , you can make it into a 4/2, due to the denominator being 2, you multiply it by 2, and there you go, you made a fraction that equals the number. You can do this with the rest of these, although for number 11, its pretty much the same thing, just by dividing the new denominator with the old one then multiplying that new number by the numerator to get your fraction.

Answer:

6:2 is correct :)

Step-by-step explanation:

Remark

What exactly do you want? You have written the equation. So perhaps what you would like is the value for x.

When people start doing algebra usually they are asked what multiplied by 8 will give 40. There is no procedure to that, just an answer.

8 times 5 = 40. So the answer is 5.

You do know that 8x means 8*x or multiply 8 times x do you not?

Procedure

8*x = 40              Divide both sides by 8

8x ÷ 8 = 40÷8

x = 5

In the expression 300 + 200/x for Alysa's party, the variable 'x' stands for the number of attendees to ensure the party cost stays within the $5.00 per person limit.

In the expression 300 + 200/x, the variable x represents the number of people attending Alysa's sweet sixteen birthday party.

Alysa's mom has set a maximum cost of $5.00 per person, and the total cost for renting the hall is $300, which is a fixed cost. To ensure the party cost does not exceed $5.00 per person, the cost per person is calculated by dividing the additional $200 by the number of attendees (x).

the answer is 21 years old

The equation is 3x+2y= -22

Answer:

It's -3x+2 y=-22

Step-by-step explanation:

I just did on e2020