Show your work and find the solution to the following system using substitution or elimination:

y = 2x - 1
y = 5x - 7

Answer:

6.8

Step-by-step explanation:

ggcsefhvse5gvcxdjk bcfhjbhhhhhhhhhiiijvzsd

Answer:

14 7/24

Step-by-step explanation:

There are two different denominators here:  6 and 24.  The LCD is 24, and so 8 5/6 becomes 8 20/24.

Then the SUM of the two given mixed numbers is:

8 20/24 + 5 11/24 = 13 31/24, or, when properly reduced, 14 7/24

Answer:

Correct answer is the first one x^2 + 2x - 8

because (x + 4) (x - 2)

= x ^2 + 4x - 2x - 8

= x^2 + 2x - 8

Answer:

16 = 216,  17 = 180,  18 = 252

Step-by-step explanation:

Hope this helps!

Answer:

16. A = 216 in.²

17. A = 180 cm.²

18. A = 252 cm²

Step-by-step explanation:

16. We want to split the triangle and square. We know that the triangle is a right triangle because its linear pair is 90°, which makes it also 90°.

Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 12, 17, 12, and 17.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

17. We want to split the trapezoid and rectangle. This is a rectangle because it has four right angles.

Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 20, 6, 6, and 20.

Now we can also prove that the bottom base of the trapezoid has a measure of 20 because of Reflexive Property.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

18. We want to split this hexagon into two rectangles. We know that they're rectangles because they have four right angles.

Remember, you can't assume that it's a square just because it looks like one. It is not to scale.

To find the length of the larger rectangle, we can add the separate measures of the side to find the total length.

Because it's a rectangle, we now have the measures of 12, 12, 18, 18.

Because the bottom side of the larger rectangle is 12 and the sum of both bottom sides of both rectangles is 18, that makes the bottom side of the second rectangle 6.

Because opposite sides of a rectangle are congruent, this rectangle is a square because it has four congruent sides and four right angles.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

Answer:

5xy = 2

Step-by-step explanation:

This is the only one that has two (x & y) letters/integers on one single number.

Answer:

12th triangular number is 78

50th triangular number is 1275

Step-by-step explanation:

12+1=13

12÷2=6

6x13=78

if you do this for 50 you get 1275

Answer:

Step-by-step explanation:

12 number

Wherever you see an n put in 12

12 (12 + 1)/2

12 * 13 / 2

6 * 13

78

The 12th triangular number is 78

50th triangular number

Again, wherever you see an n put in 50

n/2 * (n+ 1)

50/2 * (50 + 1)

25 * 51

1275

Answer:

ADB and DBC

Step-by-step explanation:

Angles ADB and DBC are both marked with three curved lines which shows that their angles are congruent to each other.

Hope this helps! :)

Answer:

Step-by-step explanation:

d=2q, q=d/2

10d+25q=630, using q=d/2

10d+25d/2=630

20d+25d=1260

45d=1260

d=28

So he has 28 dimes.

Answer:

124.3

Step-by-step explanation:

explanation is in the picture

Answer:

x = 36.3

Step-by-step explanation:

Use sine

Sine 73 = x / 38

Sine of 73 is 0.956

Which means

0.956 = x / 38

Multiply 38 on both sides

36.328 = x

Round 36.328 to the nearest tenth

36.328 = 36.3

Answer:

x

Step-by-step explanation:

there is no picture or anything else, thus it is unknown and can not be figured out unless you repost this with a picture or the full question.

Answer:

it means replace x with 27

Step-by-step explanation:

[tex] \sqrt[3]{27 + 98} + 5 = \sqrt[3]{125} + 5 = 5 + 5 = 10[/tex]

Answer:

10

Step-by-step explanation:

f(27) means to replace the x, not f(x). This means the equation would be [tex]f(27)=\sqrt[3]{27+98}+5[/tex]. First, take the cube root of 27 + 98 (125), which equals 5. Then add this to the 5 on the outside of the cube root to get 10.

Answer:

1/4

Step-by-step explanation:

There are 4 spaces after 0 so the spot in the 1st place would be 1/4.

Hope this helps! :)

Answer:

6, 8, 10, 14, 15

Step-by-step explanation:

6(1,2,3,6)

8(1,2,4,8)

10(1,2,5,10)

14(1,2,7,14)

15(1,3,5,15)

Answer:

The $19 car

Step-by-step explanation:

For a one day rental I'd say its pretty average to only be driving for about 160km which is about 100 miles. For those 160km you would only be paying $19. The combined total $38, which is still less than the $42.50 car. The only way this would somewhat equal out is if you drove 200km or 124 miles. That would make the total cost exactly $43. If Meghan plans on driving equal to or more than 200km then she should choose the $42.50 car. In my opinion the $19 should be enough for 1 day.

The grocer should combine 2 lbs of the $1.75/lb trail mix with 3 lb of the $3.75/lb trail mix to get $2.95/lb trail mix.

A grocer is a retailer who sells food and household items. Grocery stores are typically stocked with a wide variety of products, including fresh fruits and vegetables, meat, dairy, bread, canned goods, frozen foods, and other packaged food items. Grocers may also offer non-food items such as cleaning products, health and beauty supplies, and pet supplies.

The total cost of the combined trail mix must be equal to the cost of the desired $2.95/lb trail mix. So, we can set up the following equation:
1.75x + 3(3.75) = 2.95(x+3)
where x is the number of pounds of the $1.75/lb trail mix.
Solving for x, we get:
1.75x + 11.25 = 2.95x + 8.85
Subtracting 2.95x from both sides, and subtracting 8.85 from both sides, we get:
-1.2x = -2.4
Dividing both sides by -1.2, we get:
x = 2
So, the grocer should combine 2 lbs of the $1.75/lb trail mix with 3 lb of the $3.75/lb trail mix to get $2.95/lb trail mix.

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Answer:

acceleration, measurement of the mass, the volume. (non examples of speed)

Step-by-step explanation:

Answer:

(x-2)(x-1)

Step-by-step explanation:

Answer:

(x-2)(x-1)

Step-by-step explanation:

[tex]x^{2} -3x+2\\\\(x-2)(x-1)[/tex]

Answer:

Money before spending on lunch = 36 dollars

Step-by-step explanation:

Let the total money be X

Money spent on lunch [tex]\frac{2}{5} X[/tex]

Money received from friend [tex]= 5.50[/tex] dollars

Money spent movie ticket [tex]= 9.75[/tex] dollars

Money spent on snacks [tex]= 4.50[/tex] dollars

Money left [tex]= 12.65[/tex] dollars

[tex](X - \frac{2}{5}X- 9.75 -4.50+5.5) = 12.65[/tex]

[tex]\frac{3}{5} X[/tex] [tex]= 12.65 + 9.95 +4.50 -5.5[/tex] [tex]= 21.6\\[/tex]

X [tex]= 36[/tex]

Money before spending on lunch = 36 dollars

Answer:

[tex]S_{a}[/tex] = 2[tex]S_{b}[/tex]

where: [tex]S_{a}[/tex] is the sum of the terms in the first sequence, and [tex]S_{b}[/tex] is the sum of the terms in the second sequence.

Step-by-step explanation:

The two sequences are arithmetic progression.

From the first sequence,

first term, a = 2

common difference, d = 2

number of terms, n = 5

From the second sequence,

first term, a = 1

common difference, d = 1

number of terms, n = 5

The sum of terms of an arithmetic progression is given as;

= [tex]\frac{n}{2}[/tex][2a + (n - 1) x d]

⇒ Let the sum of the first sequence be represented by [tex]S_{a}[/tex], so that;

[tex]S_{a}[/tex] = [tex]\frac{5}{2}[/tex][2(2) + (5 - 1) x 2]

   = [tex]\frac{5}{2}[/tex][4 + 8]

   = [tex]\frac{5}{2}[/tex] x 12

[tex]S_{a}[/tex] = 30

⇒ Let the sum of the second sequence be represented by [tex]S_{b}[/tex], so that;

[tex]S_{b}[/tex] = [tex]\frac{5}{2}[/tex][2(1) + (5 - 1) x 1]

    = [tex]\frac{5}{2}[/tex][2 + 4]

[tex]S_{b}[/tex]  = 15

Thus, the statement that would correctly describe the relationship between the sequences is;

[tex]S_{a}[/tex] = 2[tex]S_{b}[/tex]

where: [tex]S_{a}[/tex] is the sum of the terms in the first sequence, and [tex]S_{b}[/tex] is the sum of the terms in the second sequence.

A perfect square can be defined as a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

The value of N for the given question is 6.

To reach the above solution we need following steps:

Given:

[tex]\rm 150\times N = Perfect\:square[/tex]

Since 150 is not a perfect square N is not equals to 1.

Putting values starting from 2 on the place of N.

[tex]150\times2 = 300\\\\150 \times3=450\\\\150\times4= 600\\\\150\times5= 750\\\\150\times6=900[/tex]

Since 900 is a perfect square, the value of N will be 6.

Learn more about perfect square here:

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A perfect square is the product of any positive whole number used as a factor exactly two times. The number six should be multiplied by the 150 to make it a perfect square. Thus least positive whole number which is multiplied by the 150 to make it a perfect square N is 30.

Given-

The given number in the problem which need to be perfect square is 150.

The least positive whole number which is multiplied by the 150 to make it a perfect square is N.

A perfect square is the product of any positive whole number used as a factor exactly two times.

The number 150 needs to be break down in the small integers to get the value of the smallest integer which makes the product of integer and 150 a perfect square.

150 can be written as,

[tex]150=2\times3\times5\times5\\[/tex]

Two and three remains without the pairs. The product of 2 and 3 is 6.

Six should be multiplied by the 150 to make it a perfect square. Thus

[tex]=150\times6\\[/tex]

[tex]=900[/tex]

[tex]=\sqrt{900}[/tex]

[tex]=30[/tex]

Hence the number six should be multiplied by the 150 to make it a perfect square. Thus least positive whole number which is multiplied by the 150 to make it a perfect square N is 30.

Learn more about the perfect square here;

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Answer: 206

Step-by-step explanation:

Step-by-step explanation:

Which one is the height?¿

The formula is

b1+b2 divided by 2 times the height

That's the best I can do for you atm atleast.

Answer:

1/8 and 2/16

Step-by-step explanation:

Answer:

Substitution method can be used

Step-by-step explanation:

Given the system of equations

y = 2x-1 ....1

-12x + 3y = 9 ....2

The best method to use id the substitution method

Substitute equation 1 into 2;

From 2;

-12x + 3y = 9

-4x + y = 3

-4x + 2x-1 = 3

-2x -1 = 3

-2x = 3+1

-2X = 4

x = -4/2

x = -2

Substitute x = -2 into 1

y = 2x - 1

y = 2(-2)-1

y = -4-1

y = -5

Hence the solution to the system of equation is (-2, -5)

Answer:

216 cubic meters

Step-by-step explanation:

6m x 6m x 6m = 216 cubic meters

Answer:

yeah he is correct it is 216

Step-by-step explanation:

the coordinates are (-2,1) (-2,-3) that is the answer

Answer:

c part is the answer of this question

im like 99% sure the answer is b