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likoan [24]
4 years ago
13

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)
Mathematics
2 answers:
Doss [256]4 years ago
4 0
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 be 100-7x, which is answer choice b.
ad-work [718]4 years ago
4 0

Answer:

B) 100-7x just took the test

Step-by-step explanation:

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What is the equation of the line in standard form?
belka [17]

Answer:

y = 6x + 4 \\ slop = 6 \\ y - y0 = slop(x - x0) \\ y - ( - 8) = 6 \times (x - 1) \\ y + 8 = 6x - 6 \\ y = 6x - 6 - 8 = 6x - 14

6 0
3 years ago
X^2 - y^2 = 100
luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

Subtract 25 from both sides:

-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

8 0
3 years ago
Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle. She ar
-Dominant- [34]
The right answer for the question that is being asked and shown above is that: "180 - line." Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle.She arranged the three angles <span>connected together such that the three corners of the triangle were all touching.</span><span> </span>
8 0
3 years ago
Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
Answer this really quick
ivann1987 [24]

Answer:

the equation is y = ax + b (a ≠ 0)

see in the graph, the line passed through (0;3) and (1;5)

=>b = 3

   a + b = 5

<=> a = 2

     b = 3

=> the equation is y = 2x + 3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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