15 POINTS!!!!
__________

Please help me answer!!!
Is this answer correct?

Answers

Answer 1

Answer:

Answer:

The answer is wrong. The real answer would be 1.25.

Step-by-step explanation:

You take the size of the first shape, 8, and multiply it by each scale factor, 0.8, 1.25, 2.0, and 18.0, to find which would equal 10.

In this case 8 x 0.8= 6.4, 8 x 1.25= 10, 8 x 2= 16, and 8 x 18= 144. Therefore making 1.25 the correct answer because 8 x 1.25= 10, which is the size of the second shape.

Answer 2

Answer: The answer is correct

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What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?

Answers

Answer:

$\large\boxed{y=-(1)/(2)x+(3)/(2)}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\n\nl\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n============================\n\n\text{We have}\ 2x-y=5.\n\n\text{Convert to the slope-intercept form y = mx + b:}\n\n2x-y=5\qquad\text{subtract 2x from both sides}\n\n-y=-2x+5\qquad\text{change the signs}\n\ny=2x-5\to m_1=2\n\n\text{Therefore}\ m_2=-(1)/(2).$

$\text{The equation of the searched line:}\ y=-(1)/(2)x+b.\n\n\text{The line passes through }(3,\ 0).\n\n\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\n\n0=-(1)/(2)(3)+b\n\n0=-(3)/(2)+b\qquad\text{add}\ (3)/(2) \text{to both sides}\n\nb=(3)/(2)$

Eduardo and Sarawong are selling wrapping paper for a school fundraiser. Eduardo sold 5 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $185. Sarawong sold 14 rolls of plain and 5 rolls of holiday for a total of $338. Find the cost per roll of plain wrapping paper and 5 rolls of holiday wrapping paper.

Answers

Answer: A roll of plain wrapping paper costs $17, while a roll of holiday wrapping paper costs $20.

Step-by-step explanation: First let us represent a roll of plain wrapping paper with letter p and a roll of holiday wrapping paper would be represented by d. If Eduardo sold 5 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $185, then we can express this as

5p+ 5d= 185

Also if Sarawong sold 14 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $338, then this too can be expressed as

14p + 5d = 338

Now we have a pair of simultaneous equations which are,

5p + 5d = 185 ———(1)

14p + 5d = 338 ———(2)

Since all the variables have coefficients greater than 1, we shall use the elimination method. Note that the coefficients of the d variable are both 5, so straight away we subtract equation (1) from equation (2) and we now have;

(14p - 5p) + (5d - 5d) = 338 - 185

9p = 153

Divide both sides of the equation by 9

p = 17

Having calculated p, we can now substitute for the value of p into equation (1)

5p + 5d = 185

5(17) + 5d = 185

85 + 5d = 185

Subtract 85 from both sides of the equation

5d = 100

Divide both sides of the equation by 5

d = 20

Hence, the cost per roll of plain wrapping paper is $17, while the cost per roll of holiday wrapping paper is $20.

Erin ran 1/4 the distance that Carolyn ran. Erin ran a total of 1.5 miles. How far did Carolyn run? (Please explain)

Answers

1.5 ×4 will get u 6. so there fore 6 divided by 4 equals 1.5

-2(x+3y)=18 solve for y!

Answers

$-2(x+3y)=18\ \ \ \ /:(-2)\n\nx+3y=9\n\n3y=9-x\ \ \ \ /:3\n\ny=(9-x)/(3)\n\ny=(9)/(3)-(x)/(3)\n\ny=3-(1)/(3)x\n\ny=-(1)/(3)x+3$

$(-9-x)/(3)$ Step-by-step explanation:

Movies are on sale for 3/4 the original price. If the original price is $10, what is the sale price?$3

$4

$7.50

$3.40

Answers

$(3)/(4)\ of\ the\ original\ price=(3)/(4)*\$10=\left((3)/(4)*(10)/(1)\right)\$=(3*10)/(4*1)\$\n\n=(30)/(4)\$=(28+2)/(4)\$=\boxed{\boxed{7(2)/(4)\$=7(1)/(2)\$=\boxed{\$7.50}}}$