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lesantik [10]
2 years ago
6

I need help urgent this is to hard for me to do

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
6 0

Answer:

( 7 , 4 )

given:

  • 4x + 10y = 68
  • 4x - y = 24

make y the subject in equation 2:

4x - y = 24

-y = 24 - 4x

y = 4x - 24

insert this in equation 1:

4x + 10y = 68

4x + 10(4x - 24) = 68

4x + 40x - 240 = 68

44x = 68 + 240

44x = 308

x = 7

solve for y:

y = 4x - 24

y = 4(7) - 24

y = 4

xz_007 [3.2K]2 years ago
3 0
4x + 10y =68 ......(1)
4x - y = 24 .......(2)
From equation (2)
y = 4x - 24 .....(3)
Put Eqn (3) into Eqn (1)
4x + 10(4x - 24)=68
4x + 40x -240 = 68
44x - 240 = 68
44x = 68 + 240
44x = 308
Divide through by 44
x = 7
Put x = 7 in Eqn(3)
y = 4(7) -24
y = 28 -24
y = 4

(x,y) = (7 , 4)
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112.

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4 0
3 years ago
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the
klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

  • If the price of an item is discounted, that mean its new price will be less its initial price
  • The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y (\frac{88}{100})

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = \frac{106}{100} × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

4 0
3 years ago
your family is driving from cincinnati to st louis. the graph relates your distance from st.louis d in miles and travel time h (
rewona [7]

The solution is about a distance-time graph. The interpretation of the graph is that it took the family 6 hours to travel a distance of 360 miles. Note that the distance is plotted on y-axis and time on the x-axis.

<h3>What is a distance-time graph?</h3>

A distance time graph is a simple graph that shows the relationship between the time travelled the distance covered while doing do.

The slope-intercept form is

y= mx+b−⋯(1)

The y-intercept is 360

⇒b = 360; and m = −60

Substituting the value of m = −60

and b = 360

in (1) above,

⇒y = −60x  +360

The x-intercept is

y = 0,

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hence, x=6

The y-intercept is

x=0

⇒y=−60(0)+360

⇒y=360

In conclusion, the x - intercept is the time in hours between Cincinnati and St. Loui: and

The  y - intercept is the distance between Cincinnati and St. Louis.

Learn more about distance-time graphs at:
brainly.com/question/13877898
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6 0
2 years ago
duke and donna each have 10 coins. all coins are either dimes or quarters. duke has 5 quarters. donna has 60 c more than duke.ho
zepelin [54]
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she has 9 quarters and 1 dime.
5 0
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