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navik [9.2K]
2 years ago
11

Please help this is a unit test <3

Mathematics
1 answer:
ladessa [460]2 years ago
5 0

Answer: 1/8

Step-by-step explanation:

^ = Power of

/ = Fraction

(6m^-1n^0)^-3

= 6^-3(m^-1)

Formula: ( (^ab)^m =a^m b^m

6^-3 m^3

= m^3/216

Since m = 3 we evaluate.

= 27/216

= 1/8

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a pile of sand has a weight of 90kg The sand is put into a small bag, a medium bag and a large bag in the ratio of 2 : 3 : 7 Wor
just olya [345]
Hi there!

To split 90 kilos in the ratio of 2 : 3 : 7 we must first realise that we have a total of 2 + 3 + 7 = 12 parts, in which we must split the total 90 kilos.

12 parts equal 90 kilo, and therefore
1 part equals 90 / 12 = 7.5 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
2 parts equal 7.5 × 2 = 15 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
3 parts equal 7.5 × 3 = 22.5 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
7 parts equal 7.5 × 7 = 52.5 kilos.

Hence, 90 kilos in the ratio of 2 : 3 : 7
gives 15 kg, 22.5 kg and 52.5 kg.

~ Hope this helps you!
3 0
3 years ago
The difference between of two numbers is 9. If the large number is one more than twice the smaller number, find the larger numbe
sleet_krkn [62]

The larger number is 17

<em><u>Solution:</u></em>

Let "x" be the larger number

Let "y" be the smaller number

<em><u>The difference between of two numbers is 9</u></em>

Therefore,

larger number - smaller number = 9

x - y = 9 -------- eqn 1

<em><u>The large number is one more than twice the smaller number</u></em>

Larger number = 1 + 2(smaller number)

x = 1 + 2y ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

1 + 2y - y = 9

1 + y = 9

y = 9 - 1

y = 8

<em><u>Substitute y = 8 in eqn 1</u></em>

x - 8 = 9

x = 8 + 9

x = 17

Thus the larger number is 17

6 0
3 years ago
Please help me with this Question
lutik1710 [3]
I did a good time at work but I got to get it done I got my car back and I’m gonna was a great
4 0
2 years ago
Una fuente circular tiene un diámetro de 80 pulgadas conciderando que una pulgada equivale a 2.54cm cual es la medida de su rati
DIA [1.3K]

Answer:

203.2cm

Step-by-step explanation:

De la pregunta anterior,

1 pulgada = 2.54 cm

80 pulgadas = x

Multiplicar cruzada

x = 80 × 2.54 cm

x = 203.2 centímetros

La medida de su relación es 203.2cm.

8 0
3 years ago
Joey invest $900 at 4% simple interest for 2 years but he wants to know how much money he will have after only 18 months. Determ
malfutka [58]
Well, bearing in mind that, a year has 12 months, so 18 months is really just 18/12 of a year, or 3/2 a year, then

\bf \qquad \textit{Simple Interest Earned Amount}\\\\&#10;A=P(1+rt)\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$900\\&#10;r=rate\to 4\%\to \frac{4}{100}\to &0.04\\&#10;t=years\to \frac{18}{12}\to &\frac{3}{2}&#10;\end{cases}&#10;\\\\\\&#10;A=900\left( 1+0.04\cdot \frac{3}{2} \right)
4 0
3 years ago
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