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maks197457 [2]
3 years ago
5

Seven hotdogs and four hamburgers cost $13. Four hotdogs and seven hamburgers cost $14.50. How much does one hamburger cost and

how much does one hotdog cost
Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

hotogs=$1.50  hamburgers=$1

Step-by-step explanation:

h=hotdog b=hamburger

7h+4b=13

4h+7b=14.5

(7h+4b=13)-4b

4h+7b=14.5

 

h=-0.57b+1.86

4h+7b=14.5

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Which value of a makes the equation 5a+1 1/2=4 true?
ss7ja [257]

Answer:

5a+1 1/2=4

a = 1/2

Step-by-step explanation:

4 0
2 years ago
1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.
iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is 53.13\°

Part 2) The surface area of the pyramid is 288\ cm^{2}

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

sin(x)=\frac{16}{20}

x=arcsin(\frac{16}{20})=53.13\°

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

SA=b^{2}+4[\frac{1}{2}(b)(h)]

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

h=b/2 -------> by an 45° angle

so

b=2h

sin(45\°)=\frac{h}{6\sqrt{2}}

h=6\sqrt{2}(sin(45\°))=6\ cm

Find the value of b

b=2(6)=12\ cm

Find the surface area

SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}

3 0
3 years ago
Help please I’m confused! Easy 10 points closer picture then last time
igomit [66]
Slope intercept form is y = mx + b

So the slope intercept form for -5 and 2 is
y = 2x - 5

It would be this because the mx represents the slope and the b represents the y intercept so all you have to do is plug in the numbers.
5 0
3 years ago
Train from Newark to Boston left Newark at 3 P.M. What time did it arrive to Boston if its average speed was 50 mph and the dist
AlexFokin [52]
Your answer would be 5 hours. Because total time divided by rate is the time it took to travel that distance. 250mi/50mph=5hours. Hope this helps.
6 0
3 years ago
Read 2 more answers
What is x-2y=-1 and 2x+y=4 using elimination step by step
otez555 [7]

Answer:

x = 7/5  , y = 6/5

Step-by-step explanation using elimination:

Solve the following system:

{x - 2 y = -1 | (equation 1)

2 x + y = 4 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 4 | (equation 1)

x - 2 y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 4 | (equation 1)

0 x - (5 y)/2 = -3 | (equation 2)

Multiply equation 2 by -2:

{2 x + y = 4 | (equation 1)

0 x+5 y = 6 | (equation 2)

Divide equation 2 by 5:

{2 x + y = 4 | (equation 1)

0 x+y = 6/5 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 14/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 7/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Collect results:

Answer: {x = 7/5  , y = 6/5

5 0
3 years ago
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