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Strike441 [17]
3 years ago
5

Susan makes 5 fruit cups for the picnic. In each cup, she has 5 strawberries and 3 kiwis. Joanna uses the same number of total f

ruits to make her strawberry and kiwi fruit cups, but she makes 4 cups. In each cup, she uses 8 strawberries.
How many kiwis are in each fruit cup Joanna makes?
Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

2

Step-by-step explanation:

My teacher went over this problem, it's 2.

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Please help with this and explain how to do it, I'll give 15 points
MrRissso [65]

Answer:

Option (4).

Step-by-step explanation:

Outer diameter of the hollow metallic ball = 10 centimeters

Outer radius of this ball = \frac{10}{2} = 5 cm

Volume of the outer ball V_{1} = \frac{4}{3}\pi (r)^3

                                         = \frac{4}{3}\pi (5)^3

Inner radius of the hollow metallic ball = (5 - 1) = 4 cm

Volume of the inner hollow ball V_{2} = \frac{4}{3}\pi (4)^3

Volume of the metal used in the metallic ball = V_{1}-V_{2}

                                                                           = \frac{4}{3}\pi (5)^3-\frac{4}{3}\pi (4)^{3}

                                                                           = \frac{4}{3}\pi [(5)^3-(4)^3]

Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.

8 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
Why and when do we cross multiply in algebra?
Nataly [62]

Answer:

You cross multiply to solve for a variable. You cross multiply when given a proportion.

4 0
3 years ago
Read 2 more answers
Factorise 2x^2 +3x -20=0. 25 points!! plsss could someone help :)
aksik [14]

Answer:

(2x - 5) (x + 4)

Step-by-step explanation:

5 0
3 years ago
It says to find the value of x.
bija089 [108]

Answer:

x = 23

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the third angle forms a straight angle with 100°, hence

third angle in triangle = 180° - 100° = 80°

Summing the 3 angles gives

2x + 3 + 80 + 51 = 180

2x + 134 = 180 ( subtract 134 from both sides )

2x = 46 ( divide both sides by 2 )

x = 23


8 0
3 years ago
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