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TEA [102]
3 years ago
8

Jerome is cooking dinner. He needs 7 ounces of broccoli for each person . Jerome is not sure how many people will come for dinne

r. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner
Mathematics
1 answer:
Burka [1]3 years ago
7 0
If x is the number of people that come over to dinner, and y is how much ounces of broccoli he needs, then this is your equation:
7x = y is your answer

Because he needs 7 ounces for each person, to find the number of ounces he needs, you multiply 7 by the number of people.
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A trapezoid has an area of 294 square yards. Its height is 14 yards and the length of one base is 30 yards. Find the length of t
nordsb [41]
Your answer is 250 yards you basically just subtract the numbers it gives you from the 294....
5 0
3 years ago
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
2 years ago
-4p=-14 what is p? nowwwwwwwwwwwwwww
Gekata [30.6K]

Answer:

x = 7/2 or 3.5

Step-by-step explanation:

-4p/-4 = -14/-4

p= 7/2

7/2 = 3.5

6 0
3 years ago
Solve the graphs? Show Your Work?
kari74 [83]

4.\\x\leq10\\\\5.\\x\leq-4\\\\6.\\x\geq4

4 0
2 years ago
Which equation represents the line shown
murzikaleks [220]

Answer: Third option:

Step-by-step explanation:

The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

The equation  in Slope Intercept form  of a line that passes through the Origin, is:

y=mx

Where "m" is the slope of the line.

In this case you can observe in the picture attached that the line passes through the point (0,0).

You can also notice that "y" would be the Dependent variable and "x" the Independent variable.

Therefore, the equation of this must have this form:

 y=mx

The only equation that matches with that form, is the one given in the Third option. This is:

y=2x

7 0
3 years ago
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