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PtichkaEL [24]
3 years ago
6

(d) Nigel measures out 30 grams from a 1 kilogram bag of sugar.

Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

3%

Step-by-step explanation:

1kg = 1000g

30÷1000 × 100 = 0.03×100=3%

Gwar [14]3 years ago
4 0

Answer:

0.003%

Step-by-step explanation:

1000g = 1kg

30g = 0.003kg

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What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

4 0
3 years ago
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
Naya [18.7K]
This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
' n ' is the number of years after today,
then

         Population  =  422,000 (1.12)ⁿ .
6 0
3 years ago
Write an equation in slope intercept form of the line with a slope of -3/4 and y intercept of -5
raketka [301]
Given,
slope(m)=-3/4
y intercept (c)=-5
Then,
equation in slope intercept form is
y=mx+c
or, y=(-3/4)×x+(-5)
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5 0
3 years ago
This is a double question. Part 1: 5(2x - 4) = 30. Solve for x Part 2: 5x + 3 - x + 2 = 41. Solve for x. I will mark Brainliest
Ainat [17]

Answer:

see below

Step-by-step explanation:

Part 1: 5(2x - 4) = 30.

Distribute

10x -20 = 30

Add 20 to each side

10x-20+20 =30+20

10x = 50

Divide by 10

10x/10 = 50/10

x =5

Part 2: 5x + 3 - x + 2 = 41

Combine like terms

4x +5 = 41

Subtract 5 from each side

4x+5-5 = 41-5

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Divide by 4

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3 0
3 years ago
Read 2 more answers
What is 3n-2/5=7/10 solve please
Tems11 [23]

Answer:  \bold{n=\dfrac{11}{6}}

<u>Step-by-step explanation:</u>

\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\

8 0
3 years ago
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