Solve the following system algebraically. Show all of your work. (5 points)

y = x + 3
3x + y = 19

Answer:

72 campers participated this year

Step-by-step explanation:

Percentages

To determine x% of y, we must calculate x*y/100.

The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.

The new attendance is calculated as follows:

40 * 180 / 100 = 72

72 campers participated this year

Answer:

72

Step-by-step explanation:

Answer:

x = 4

y = 1

Step-by-step explanation:

At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°

∵ The sum of the interior angles of a triangle is 180°

∴ 52° + 90° + (6x + 14y)° = 180°

→ Add the like terms

∴ 142° + (6x + 14y) = 180°

→ Subtract 142° from both sides

∴ (6x + 14y)° = 38° ⇒ (1)

→ By using the two triangles

∵ The two triangles are congruent

∴ (15x - 8y) = 52° ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -2 to make the

   coefficients of x equal in values and different in signs

∵ 5(6x + 14y) = 5(38)

∴ 30x + 70y = 190 ⇒ (3)

∵ -2(15x - 8y) = -2(52)

∴ -30x + 16y = -104 ⇒ (4)

→ Add equations (3) and (4) to eliminate x

∵ 86y = 86

→ Divide both sides by 86 to find y

∴ y = 1

→ Substitute the value of y in equation (1) to find x

∵ 6x + 14(1) = 38

∴ 6x + 14 = 38

→ Subtract 14 from both sides

∴ 6x = 24

→ Divide both sides by 6

∴ x = 4

Answer:

10km/hr

Step-by-step explanation:

Given that:

Distance covered by both Dee and Ron= 20km

Ron's speed = 8km/hr

Dee made three 10 minute stops during the race.

Time it took Ron to cover 20km

Time = distance / speed

20km / 8km/hr = 2.5 hours = 150 minutes

Since they both tied ;

Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours

Ron's speed = distance / time

Speed = 20 km / 2hours

Speed = 10km/hr

Answer:

A

Step-by-step explanation:

Hope this helps!!!!!!!!!!!!!!!!!!:)

Answer:

is it C OR A

Step-by-step explanation:

Answer:

57 miles in 1 hr

Step-by-step explanation:

171/3 = 57

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

Answer:

D.

Step-by-step explanation:

D. 60 + 12w = 95 + 7W

Answer:

45

State your explanation below:

Answer:

45

Step-by-step explanation:

315/7=45

Answer:

20 ft

Step-by-step explanation:

First we must find out what the scale factor is.

26 / 6.5 = 4

the scale factor is 4.

Now we must multiply 5 by 4 to find x.

5 * 4 = x

20 = x

x = 20

The height of the tree is 20 ft.

2/5 = 0.4

Simply devide 2 by5 then you'll get the answer as 0.4

Answer:

0.4

Step-by-step explanation:

=================================================

Work Shown:

A = volume of the cylinder

A = pi*(radius)^2*(height)

A = pi*r^2*h

-----------

The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4

B = volume of the cone

B = (1/3)*(volume of cylinder with radius r/4 and height h)

B = (1/3)pi*(r/4)^2*h

B = (1/3)*pi*(r^2)/(4^2)*h

B = (1/3)*pi*(r^2)/16*h

B = (1/3)*(1/16)*pi*r^2*h

B = (1/48)pi*r^2*h

B = (1/48)*A

B = (1/48)*(volume of cylinder)

-----------

C = volume of the empty space/air inside cylinder, but outside cone

C = A-B

C = A - (1/48)*A

C = (48/48)A - (1/48)A

C = (48A)/48 - (A/48)

C = (48A-A)/48

C = 47A/48

C = (47/48)*A

C = (47/48)*pi*r^2*h

Answer:

abosute value is the bigger number regardless of positives and negitives.

Step-by-step explanation:

Answer:

The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.

Answer:

No

Step-by-step explanation:

The 4.5 cups of peanuts should be 4

The dollar amount of shoes she sold is $1800

It is the amount earned on a product bought or sold.

If  she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:

11.5% of x = 207

0.115x = 207

Divide both sides by 0.115

x = 207/0.115

x = $1800

Hence the dollar amount of shoes she sold is $1800

Learn more on discount here: https://brainly.com/question/24304697

Answer:

-12

Step-by-step explanation:

Answer: (-4)(3)= -12

Answer:

Perpendicular

Step-by-step explanation:

the slope of b is -3/4 and the slope of a is 4/3

Answer:

Perpendicular

Step-by-step explanation:

The lines are perpendicular because they meet at a right angle (90 degrees).

Answer:

2x+x+4=3x+4

Step-by-step explanation:

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

Answer:

9 is the answer.

Both negative signs cancel eachother, so you just have 45/5.

Step-by-step explanation:

Good luck! <3

Answer:

It cant

Step-by-step explanation:

car use gas at differnt rates

Answer:

GIVE ROBUX FIRST

Step-by-step explanation:

Answer:

the anwer is D.8V2m to youre question

Answer:

Hope this helps! <3

Answer: Multiply by 2

Step-by-step explanation:

4*2=8    7*2=14

8:14

4*3=12   7*3=21

12:21

4*4=16   7*4=28

16:28

Answer:

Diagonal   Length

AC               7.21

BD              7.21  

Step-by-step explanation:

Answer:

Diagonal  |  Length

AC            |  7.21

BD            |  7.21

Step-by-step explanation:

-edmentum

Answer:

The answer is below

Step-by-step explanation:

The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:

R² = 12² + 5²

R² = 144 + 25

R² = 169

R = √169 = 13

R = 13 miles

The resultant vector is 13 miles

The direction is gotten from:

θ = tan⁻¹(5/12)

θ = 22.62° North West

The resultant vector is therefore 13 miles North West

Answer:

13.9

Step-by-step explanation:

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

Given:

Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].

Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]

So, Susan's quotient is 10.

Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]

So, Robyn's quotient is 20.

Since 20>10, therefore, Robyn will get greater quotient.

Answer:

when i did the math i got o.28

Step-by-step explanation:

Answer:

g times 5 equals 90

Step-by-step explanation:

Answer:

g5 = 90

Step-by-step explanation:

if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.