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Nutka1998 [239]
3 years ago
9

5. If three tacos and two drinks cost $13.00, and four tacos and one drink costs $15.25, how much does

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

D. 3.50

Step-by-step explanation:

3t+2d=$13.00

4t+d=$15.25

3t+2d=$13.00

8t+2d=$30.50

E2-E1

5t=$30.50-$13.00

t=3.5

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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
3 years ago
What is 2,117 divided by 3.
amm1812
2,117÷3=705. Is your Product
6 0
3 years ago
Read 2 more answers
A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o
frutty [35]

Answer:

\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3

Step-by-step explanation:

Let a be the number of bags with 8 onions and let b be the number of bags with 3 onions. We have the following system of equations:

\begin{cases}a+b=7,\\8a+3b=41\end{cases}

Subtracting b from both sides of the first equation, we get a=7-b. Substitute this into the second equation:

8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}

Therefore, the number of 8-onion bags is:

a=7-b,\\a=7-3,\\a=\boxed{4}

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0
3 years ago
1. The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid, as shown below.
inessss [21]

let's notice the tickmarks on  the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.

the trapezoid has an altitude/height of 2 ft, thus

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6

3 0
3 years ago
What is the value of x?
BlackZzzverrR [31]
The entire angle is a 90 degree angle.

Subtract the entire angle from what is given to find x.

90-28=62

x=62
4 0
3 years ago
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