1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zvonat [6]
2 years ago
14

Somebody help please

Mathematics
2 answers:
scZoUnD [109]2 years ago
4 0

Answer:

Emily raised $37.5 and justin raised $57.5

Mazyrski [523]2 years ago
3 0

Answer:

Emily raised $37.50

Justin raised $57.50

Step-by-step explanation:

<u>(Step 1)</u>

Say "x" equals the amount of money Emily made and "y" equals the amount of money Justin made. You can set up an equation with both of these variables because we know that they made a combined $95.

x = Emily's earnings

y = Justin's earnings

Emily + Justin = 95

x + y = 95

<u>(Step 2)</u>

The fact that there are two variables makes it difficult to find how much each person made individually. However, we can eliminate the "y" variable when we remember that Justin made $20 more than Emily. Now, we can substitute "x + 20" in for "y".

x + 20 = y

x + y = 95

x + (x + 20) = 95

<u>(Step 3)</u>  

Finally, we can solve for the "x" variable.

x + (x + 20) = 95

2x + 20 = 95                                <------ Combine like terms

2x = 75                                         <------ Subtract 20 from both sides

x = 37.5                                        <------- Divide both sides by 2

<u>(Step 4)</u>

Since we know the value of "x", we can plug it into one of the equations to find the value of "y".

x + 20 = y

37.5 + 20 = y

y = 57.5

You might be interested in
On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point
expeople1 [14]

Answer: point F is at <u>   0.6   </u> on the number line

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

Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0
3 years ago
Can someone answer question 2a and b only please
Mice21 [21]

Answer:

2a)  -2

b) 8

Step-by-step explanation:

<u>Equation of a parabola in vertex form</u>

f(x) = a(x - h)² + k

where (h, k) is the vertex and the axis of symmetry is x = h

2 a)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is 6, then

                 f(6) = 0

⇒ a(6 - 2)² - 6 = 0

⇒         16a - 6 = 0

⇒              16a = 6

⇒                  a = 6/16 = 3/8

So f(x) = 3/8(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒ 3/8(x - 2)² - 6 = 0

⇒      3/8(x - 2)² = 6

⇒           (x - 2)² = 16

⇒              x - 2 = ±4

⇒                   x = 6,  -2

Therefore, the other x-axis intercept is -2

b)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is -4, then

                 f(-4) = 0

⇒ a(-4 - 2)² - 6 = 0

⇒         36a - 6 = 0

⇒              36a = 6

⇒                  a = 6/36 = 1/6

So f(x) = 1/6(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒  1/6(x - 2)² - 6 = 0

⇒       1/6(x - 2)² = 6

⇒           (x - 2)² = 36

⇒              x - 2 = ±6

⇒                   x = 8,  -4

Therefore, the other x-axis intercept is 8

8 0
2 years ago
The quantity of soap produced in 2009 is 3000bars. if this is a 20% increase of what was produced in 2008.what is the quantity o
mr Goodwill [35]
2,400
20% of 3,000= 600
3,000 - 600= 2,400
6 0
3 years ago
Please anyone answer this for me?
vlabodo [156]
Im not sure but

(sarah + tara)/2 = 8

(20 + tara)/2 = 8

20 + tara = 16

tara = 4hours ?? it doesn’t make logical sense but this is the only way i can think of

sorry if this wasn’t helpful ;-;
7 0
3 years ago
Please help! 5 3/4-3 1/4=?
KonstantinChe [14]
Your answer will be 2 2/4. If you want it simplified it will be 2 1/2
6 0
3 years ago
Other questions:
  • Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14
    6·1 answer
  • Tai used a coupon and bought a sweater for $32. The full retail price of the sweater was $40. What percent did Tai save with her
    8·1 answer
  • Please help asap <br><br> giving brainliests
    7·1 answer
  • Which expression makes the equation true?
    6·1 answer
  • During the past year in the maternity ward of a hospital in a large city, 1,254 males were born and 1,462 females. If we can ass
    15·1 answer
  • 271,403 to the nearest hundred thousand
    11·1 answer
  • (4x²y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)<br> Find the difference of polynomials ?
    14·1 answer
  • What is the value of 7, 488 / 416
    15·2 answers
  • The line that passes through the given point and has the given slope for (-1,-4), m = -2​
    13·1 answer
  • After a birthday party 1/3 of a large cake was left. If this piece of cake was shared equally among the 4 people, what fraction
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!