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sladkih [1.3K]
3 years ago
12

Of equations to answer the questions.

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
2x + 3(8 - 3x) = 3
2x + 24 -9x = 3
-7x = -21
x = 3

y = 8 - 3x
y = 8 - 3(3)
y = 8-9
y = -1

Check the math:
2(3) + 3(-1) = 6 - 3 = 3
You might be interested in
2. You bought items at Best Buy totaling $290.76. You have a 20%
vovangra [49]

Answer:

Discount = $290.76 × 0.2 = $58.15

Cost After Discount = $290.76 - $58.15 = $232.61

Sales Tax = 0.0625 × $232.61 = $14.56

How Much You Pay = $232.61 + $14.56 = $247.17

Step-by-step explanation:

Discount:

290.76 × 0.2* = 58.152

Round that to 58.15

* Turn 20% into a decimal (0.2)

Cost after Discount:

290.76 - 58.15 = 232.61

Sales Tax:

First turn 6.25 % into a decimal. Which would be 0.0625.

0.0625 × 232.61* = 14.556875

Then we round to the nearest hundredth and you get 14.56.

* We us the amount after the discount instead of the original price.

How much you pay:

232.61 + 14.56 = 247.17

8 0
3 years ago
How do I graph the parabola?
scoundrel [369]
First of all, find a program or a calculator that will give you the answer. Then you'll know how to make your table. I recommend Desmos. I have inserted the final graph for you.

Make up a table for this graph. Put the lowest point as the central entry in your graph.

x      y
-4
-3
-2
-1
0
Now fill in the y values. 

x       y
-4      1
-3       -3.5
-2        -5
-1       -3.5
0         1

You can use the outline of the parabola and then mark the outline with the points in the table.

8 0
3 years ago
Whats the square root of 25ab^6
r-ruslan [8.4K]
5b^3 sq rt of a

There's not enough a's
7 0
3 years ago
Read 2 more answers
Is – 7 a solution to the equation 8 {1/4x +3/4} -3 = 17
I am Lyosha [343]

Answer:

No

Step-by-step explanation:

Start by using the distributive property to simplify 8(1/4x+3/4):

8•1/4x=2x

8•3/4=6

The equation now reads: 2x+6-3=17. Subtract 3 from six and you get 2x+3=17.

You can now proceed to answer this like any two step linear equation.

2x+3=17

-3 -3

2x=14

x=7

7 is the solution to this equation

Read more on Brainly.com - brainly.com/question/11287176#readmore

8 0
3 years ago
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

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

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
3 years ago
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