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Julli [10]
3 years ago
8

Mika can eat 21 hot dogs in 66 minutes. She wants to know how many minutes it would take her to eat 35 hot dogs if she can keep

up the same pace.
Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

110 minutes

Step-by-step explanation:

66÷21=3.14

35×3.14=110

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You have invested $5000 in stocks and bonds. The interest you earned on the stocks was 7%. The interest you earned on the bonds
Sphinxa [80]
Money invested S + B = $5000 - - - - (a)
Money earned can be represented in S & B as follows:
0.07*S + 0.14*B =$500 - - - - (b)

Equations a & b are two equations with two unknowns.

From equation a:
S = 5000 - B
Replace S in equation b
0.07*(5000 - B) + 0.14*B =$500
0.07B = 500 - 350 = $150
B = 150/0.07 = $2142.86
S = 5000 - 2142.86 = $2857.14

Good luck
8 0
3 years ago
Can i please get some (help on my maths)
quester [9]
ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}


We\ have:\\\\15x^2+7x-12=0\\\\a=15;\ b=7;\ c=-12\\\\substitute\\\\x_1=\dfrac{-7-\sqrt{7^2-4\cdot15\cdot(-12)}}{2\cdot15}=\dfrac{-7-\sqrt{49-5(15)(-12)}}{30}\\\\x_2=\dfrac{-7+\sqrt{49-4(15)(-12)}}{30}

First option.
5 0
3 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
velikii [3]

Answer:

here, Area of s circle is given by;

A=πr²

but, A=1256.00 sq feet and π=22/7

thus, r=√(A/π)

⇒r=√(1256.00/3.142857143)

thus, r=399.64feet

Step-by-step explanation:

4 0
3 years ago
Find the value of x and y
Lesechka [4]

Answer:

x = 33, y = 17

Step-by-step explanation:

1) the sum of all the angles in any triangle is 180 degrees

2) when 2 lines intersect, the angles opposite each other are equal

3) the sum of any angles that break up one side of a straight line is 180

7 0
3 years ago
Sin Ø = -8/17 and cos Ø = 15/17. Find tan Ø
yaroslaw [1]

Answer:

-8/15

Step-by-step explanation:

So remember what sin, cos, and tan are.

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.

Sin=-8/17

So this must mean that opposite is -8, and the hypotenuse is 17.

Next, lets find adjacent. Cos = 15/17

So this must mean that adjacent is 15, and again, hypotenuse is 17.

Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.

<u>Tan: -8/15. </u>

17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.

Hope this helps!

8 0
3 years ago
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