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2 years ago

5

Okay so we have this question of the week thing and this week our answer is 8 so i need a algebra problem that is a two step equ

ation and equals 8 can someone please help me ?

1 answer:

Inessa05 [86]2 years ago

5 0

Answer:

2x+4=8

x=2

2 times 2 equals 4

Four plus four is 8

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One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost

zalisa [80]

Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
   = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.

5 0

3 years ago

On average Asia makes 14 out of 20 free throws Assuming the relationship is proportional, how many free throws is she likely to

dybincka [34]

Answer:

105

Step-by-step explanation:

14:20=7:10

150/10=15

7x15=105

3 0

2 years ago

A object 6.3 feet tall casts a shadow of 18.9 feet long, so a oject that is 13.8 feet tall casts a shadow of?

erik [133]

Use similar triangles (see the picture I drew at the bottom)

$\frac{6.3}{13.8} = \frac{18.9}{x} \\6.3x=(13.8)(18.9)\\6.3x=260.82\\x=41.4$

4 0

2 years ago

Read 2 more answers

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

1 year ago

The floor of a room is being covered with tile. An area one half

tangare [24]

Answer:

Only the floor area $\frac{3}{8}$ has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

$A = lw$

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

$l' = \frac{1}{2}l$

$w' = \frac{3}{4}w$

So:

$A' = \frac{1}{2}l(\frac{3}{4}w)$

$A' = \frac{3}{8}lw$

Finally:

$A' = \frac{3}{8}A$

4 0

2 years ago