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blondinia [14]
3 years ago
14

Which of the following are solutions to the equation below? Check all that apply. 15x2 - 44x + 32 = 0

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0
If you want to find the solutions for this you have to factor it.  Since it's a second degree polynomial, you'll have 2 solutions.  Factoring this using the quadratic formula, you'll get factors of (5x-8)(3x-4).  Solving these for x you get x = 8/5 and x = 4/3.
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You have $15.71, chicken nuggets cost $1.49. If you buy 5 orders of chicken nuggets, how much money do you have left?
fredd [130]

Answer:

$8.26

Step-by-step explanation:

We have 15.71 total. Chicken nuggets each cost $1.49. We are ordering 5 orders of chicken nuggets, so we use multiplication. 1.49*5= $7.45. Since we spent 7.45 from 15.71, to find the rest, we subtract. 15.71-7.45 = 8.26

6 0
3 years ago
Read 2 more answers
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
I need help with some grade 10 math something to do with graphing
Vilka [71]
Vertex: (2,1)
axis of symmetry: (0,2)
direction of opening: up
not sure what optimal value is.
y-intercept: (0,5)
not sure what the step pattern is.
3 0
3 years ago
In the summer, the Thomas family enjoys picking berries together. It takes them 20 minutes to pick 3 baskets of berries.
erastova [34]

Answer:

the numbers 20, 60, 80, and 120 go on the x axis

the numbers, 3, 9, 12, and 18 go on the y axis

so you go to 20 on the bottom and go up to  number 3

60 go up to number 9

80 go up  to number 12

120 go up to  number 18

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2
andriy [413]
You can use factors to solve.  Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!


Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w  Substitute (2 + w) for l

24 = (2 + w)w  Substitute 24 in for the area

24 = 2w + w^2  Distribute

w^2 + 2w - 24 = 0  Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0  Factor

w + 6 = 0  and w - 4 = 0    Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length!  So the width must be 4 and the length will be 4 + 2, which is 6.

5 0
3 years ago
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