Felipe is planning a party. He has $50.00 to spend on sandwiches that cost $2.50 per person, $25.00 to spend on drinks that cost $1.50 per person, and $25.00 to spend on gift bags that cost $3.00 per person. Which expression could be used to show the amount of money he will have left over if x people attend the party.a.50+7x
b.100-7x
c.250x+1.50x+3.00x
d.100-(2.50x-1.50x-3.00x)

Answers

Answer 1

Answer: It would be b. In all, he has $100 to spend since $50+$25+$25=$100. We have x people coming and he has to spend $2.50, $1.50, and $3.00 per person, respectively. The phrase "per person" indicates we must multiply, so we have to multiply each value by "x." To find out how much money he has left, we must subtract. All of this put together is 100-(2.50x+1.50x+3.00x).Add the like terms and you get 7x. Your final expression would be100-7x, which is answer choice b.

Answer 2

Answer:

Answer:

B) 100-7x just took the test

Step-by-step explanation:

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Which statements accurately describe how to determine the y-intercept and the slope from the graph below?On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answers

The accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation $\mathbf{ m = (y_2 - y_1)/(x_2 - x_1) }$ .

Recall:

The y-intercept is the point at which the graphed line intercepts the y-axis (vertical axis). The y-intercept is the value of y here.

Slope (m) = $\mathbf{(y_2 - y_1)/(x_2 - x_1) }$

You can simply find the y-intercept on a coordinate plane like the one given in the image attached below.

To do this, from the point of origin (0), you have to move towards the graphed line, that's vertically upwards, to the point where the line crosses the vertical axis.

The y-intercept in the graph shown in the image = 2.

To find the slope, use two ordered pairs on the line, i.e., (0, 2) and (1, 5). (see attached image.)

Next is to let,

$(0, 2) = (x_1, y_1)\n\n(1, 5) = (x_2, y_2)$

Then, substitute the values into $\mathbf{ m = (y_2 - y_1)/(x_2 - x_1) }$

Thus:

$m = (5 - 2)/(1 - 0) = (3)/(1) \n\n\mathbf{m = 3}$

Therefore, the accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

Learn more here:

brainly.com/question/14431998

Answer:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.

Step-by-step explanation:

The sum of Sally's age plus twice Tomas's age is 12. The difference of Sally's age and Thomas's age is 3. Write and solve a system of equation to find their ages. Interpret the solution.

Answers

s=sally
tomas=t

s+2t=12
s-t=3
add t to both sides
s=3+t
subtitute 3+t for s in first equation
3+t+2t=12
3+3t=12
subtract 3
3t=9
divide by 3
t=3
tomas=3

subsitute
s=t+3
s=3+3
s=6

sally=6
tomas=3

Sally is older because:Sally:6Thomas:3Twice Thomas's age is 6.6+6=12Equation:6+3x2 or (6+3)x2 hint:PEMDASSolved:12

"Find the missing side lengths in each pair of similar figures." Someone explain please

Answers

1. For triangle ABC, the value of 'x' and 'y' are 15 and 20 respectively.

2. For triangle XYZ, the value of 'x' and 'y' are 17 and 8 respectively.

What is a triangle?

A triangle is a two-dimensionalgeometrical figure that has three sides, three interior angles, and three vertices.

1. ΔABC and ΔXYZ are similar.

Therefore, $(AB)/(XY) = (25)/(10)$

⇒ $(AB)/(XY) = 2.5$

Here, $AC = x, XZ = 6$

Therefore, $(AC)/(XZ) = 2.5$

⇒ $AC = 2.5(XZ)$

⇒ $x = (2.5)(6)$

⇒ $x = 15$

Again, $CB = y, ZY = 8$

$(CB)/(ZY)= 2.5$

⇒ $(y)/(8) = 2.5$

⇒ $y = (2.5) (8)$

⇒ $y = 20$

2. For ΔABC

$= \sqrt{AB^(2) - AC^(2)}\n= \sqrt{34^(2) - 16^(2)}\n= √(900)\n= 30$ (Side can't be negative.)

Here, ΔABC and ΔXYZ are similar.

Therefore,

$(BC)/(ZY)\n= (30)/(15)\n= 2$

Now, $AB = 34, XY = x$

Therefore, $(AB)/(XY) = 2$

⇒ $(34)/(x) = 2$

⇒ $x = (34)/(2)$

⇒ $x = 17$

Again, $AC = 16, XZ = y$

Therefore, $(AC)/(XZ) = (16)/(y) = 2$

⇒ $(16)/(y) = 2$

⇒ $y = (16)/(2)$

⇒ $y = 8$

Learn more about a triangle here: brainly.com/question/2338119

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AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2

What's the diameter of a circle with a circumference of 48 millimeters

Answers

since we are given circumference, we think the formula for the circumference, which is 2(pi)r or (pi)d where r and d is the radius and diameter respectively. the smarter formula of the 2 is (pi)d because it's d we want to find. setting up our equation:
circumference = (pi)d
48 = (pi)d
dividing both sides by pi gives:
d = 15.29 millimeters

let me know if you have any questions!

Jorge friend Anna planted a garden with the same ratio of tulips to daises Anna garden has 48 tulips how many tulips and daises does Anna havethis pic is for Jorge daises and tulips

Answers

48 x 3 will give u ur answer 144

The cable company charges $30 to install new supplies at your house. Each month the cable bill is $75. What equation models the total cost for cable over time?

Answers

x is the amount of months
y is the total bill

75x +30 = y

This is because 30 dollars is a one time fee so you will only add it once. 75 dollars is a recurring fee, so you pay it every month. Y is the total cost for cable.

Answer:

What is the slope of the line that contains points (2,9) and (8,7)?

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