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3 years ago

What expression represents the phrase eight less than the product of a number and two

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

Answer:

8 less than the product would be 2x - 8

But if you mean 8 is less than the product (an inequality), the expression would be 8 < 2x

JulijaS [17]3 years ago

5 0

Answer:

Step-by-step explanation:

eight less then the product of a number and 2

" the product " means multiply

the product of a number and 2.......2x

eight less....-8

2x - 8 <=== ur expression

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zepelin [54]

Answer:

Use sine for this

sin 72° = 15/x
x = 15 / sin 72 °
x = 15.8 (rounded)

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The greatest common factor of of 24 and 32 is 8

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Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dol

vesna_86 [32]

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

10x + 5y + z = 101
y - x = 5
z = 4x

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is really $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

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3 years ago

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Igoryamba

Answer:

Step-by-step explanation:

We know that to find the area of a triangle, you need is formula:

(base*height)/2

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(10 m*14 m)/2

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The area of the triangle is 70 m.

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3 years ago

Name the line of reflection used to map each pre-image to its image. Please help

maks197457 [2]

Answer:

Step-by-step explanation:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

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11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' → $(\frac{5+5}{2},\frac{3+7}{2})$ → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

Coordinates of G' → (-2, 5)

Midpoint joining the segment GG' → $(\frac{2-2}{2},\frac{5+5}{2})$ → (0, 5)

Therefore, line of reflection → x = 0

14). Line of reflection passing through (0, 0) and slope = -1

y = -x

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