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xeze [42]
2 years ago
6

Lena has 1.6kg of sugar.She uses 470g for a cake. How much sugar does she have left?

Mathematics
2 answers:
givi [52]2 years ago
6 0

Answer:

<h2> 1.13kg</h2>

Step-by-step explanation:

<h3>=> 1 kilogram = 1000 grams</h3>

<u>convert into grams</u>

<h3>=> 1.6 × 1000</h3>

<u>multiply 1000 by 1.6</u>

<h3>=> 1600</h3>

<u>Now substract 470g from it</u>

<h3>=> 1600 - 470</h3>

<u>subtract 470 from 1600</u>

<h3>=> 1,130g</h3>

<u>convert the g back into kg</u>

<h3>=> 1130 ÷ 1000</h3>

<u>divide 1130 by 1000</u>

<h3>=> 1.13kg</h3>
Aleks04 [339]2 years ago
3 0

Answer: 1130 grams.

Step-by-step explanation:

She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).

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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
6 0
3 years ago
A triangle has a base of 4/5 of a yard and a height of 2/3 of a yard. What is the area of this triangle?
Elena-2011 [213]

Answer:

8/15

Step-by-step explanation:

4/5 times 2/3

4 0
2 years ago
You roll a fair number cube. What is the likelihood you will land on a number greater than 4?
Alekssandra [29.7K]

Answer:

1/3

Step-by-step explanation:

There are 6 faces on a number cube.

We know that 2 of those faces are greater than 4.

So,

2 out of 6 faces=2/6=1/3

7 0
3 years ago
• Which of the following equations represents a line that is perpendicular to
JulsSmile [24]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 9 ← is in slope- intercept form

with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-4} = \frac{1}{4}, hence

y = \frac{1}{4} x + c ← is the partial equation of the perpendicular line

To find c substitute (4, 5) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = \frac{1}{4} x + 4 ← equation of perpendicular line → C

4 0
3 years ago
Mansa runs 1/3 of a mile in 1/16 of an hour. what is his unit rate in miles per hour​
REY [17]

Answer:

5 1/3 mph or 5.33mph

Step-by-step explanation:

1/3 of a mile / 1/16 of an hour = MPH. In order to divide fractions you flip the bottom fraction and multiply across. 1/3 / 1/16 = 1/3 * 16/1 = 16/3 = 5 1/3 = 5.33mph

5 0
3 years ago
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