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Brums [2.3K]
2 years ago
12

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa

le
2/3x + 3/4 = 8
8x=87
Mathematics
2 answers:
Dimas [21]2 years ago
5 0
These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match. 

Hope this helps!
zzz [600]2 years ago
5 0
If the two equation have the same solution, the x value of each will be equal.  So we solve each equation for x and see if they are equal...

2x/3+3/4=8

(8x+9)/12=8

8x+9=96

8x=87

x=87/8

And the other equation was:

8x=87 so

x=87/8

Since x=x the equations do have a solution 
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Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that rate, how much would he paying sales tax before an
sergiy2304 [10]
To answer this question you would have two steps involved. The first step would be to find the percentage of $42 that gives us $2.94. Set up an equation 42x=2.94. Divide both sides by 42 to get the decimal 0.07. This equal 7%. Take this percentage multiplied by the $58. You need to change the 7% into 0.07 to be able to calculate it. 0.07 x 58 = $4.06 sales tax.
5 0
2 years ago
The college has 700 students, and has issued student 388 parking permits. What is the percentage of students with parking permit
andreyandreev [35.5K]

55.4% ( to 1 decimal place )

to find percentage, make a fraction with parking permits issued on numerator and total students on denominator then multiply by 100%

percent of students with parking permits = \frac{388}{700} × 100% = 55.4%


4 0
1 year ago
1. Lisa and Tomas Lopez are buying a new minivan that has a base
Dimas [21]

The question is incomplete:

Lisa and Tomas Lopez are buying a new minivan that has a base price of $22,510.the options total $8,062 and destination charge is $770. The dealer's cost is estimated to be 91% of the base price and 88% of the options.

-What is the sticker price of the vehicle?

-Find the dealer's percent of the base price.

-Find the dealer's percent of the options price.

-What is the estimated dealer's cost?

Answer:

-What is the sticker price of the vehicle? $31,342

-Find the dealer's percent of the base price: $20,484

-Find the dealer's percent of the options price: $7,094

-What is the estimated dealer's cost?  $28,348

Step-by-step explanation:

-The sticker price is the result of adding the base price plus the options plus the destination charge.

Sticker price= base price + options + destination charge

Sticker price= $22,510+$8,062+$770

Sticker price= $31,342

-Dealer's percent of the base price: It is  91% of the base price:

$22,510*91%= $20,484

-Dealer's percent of the options price: It is  88% of the options:

$8,062*88%= $7,094

-Estimated dealer's cost= Percent of base price+percent of options price+destination charge

Estimated dealer's cost= $20,484+$7,094+$770

Estimated dealer's cost=$28,348

4 0
2 years ago
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


4 0
1 year ago
How much water must be added to 1 litre of 5% cordial mixture to produce a 4% cordial mixture?
kondaur [170]

Answer:

X=1/4L OR 0.25L OR 250ml.

Step-by-step explanation:

8 0
1 year ago
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