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GaryK [48]
3 years ago
7

What is the volume of 1.5 Tonne of sand of density 2600 kg/m3?  ​

Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer: 0.58 m^3

Step-by-step explanation:

V= 2600 / 1500

= 0.58 m^3

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Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th
vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

\frac{9}{1}=\frac{x}{3}

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

6 0
4 years ago
Prove the divisibility:<br><br>45^45·15^15 by 75^30
garri49 [273]

Answer:

3^{75}.

Step-by-step explanation:

We have been an division problem: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(9*5)^{45}=9^{45}*5^{45}

15^{15}=(3*5)^{15}=3^{15}*5^{15}

75^{30}=(15*5)^{30}=15^{30}*5^{30}

Substituting these values in our division problem we will get,

\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}

\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}

\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}

\frac{3^{105}*5^{60}}{3^{30}*5^{60}}

\frac{3^{105}}{3^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{105}}{3^{30}}=3^{105-30}

3^{105-30}=3^{75}

Therefore, our resulting quotient will be 3^{75}.

7 0
3 years ago
Can someone help me solve this? What goes in the blank?<br><br> 38 47 56 65 __ 83 92
lesya692 [45]
74 because each number is increased by 9
7 0
3 years ago
Read 2 more answers
Write a linear function with the values f(-1)=8 and f(5)=6
lukranit [14]
(-1,8) and (5,6) are points on the line.
Slope of line = (8-6)/(-1-5) = 2/(-6) = -⅓
y-6 = -⅓(x-5)
y = -⅓x + 5/3 + 6 = -⅓x + 7⅔
3 0
3 years ago
26. If you know the lengths of two sides and the measure of _____ angle(s) of a right triangle, you can find the measure of the
lana [24]

Answer:

1

Step-by-step explanation:

For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.

4 0
3 years ago
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