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natita [175]
3 years ago
6

Angela is following this recipe to make biscuits.

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

  0.4 kg

Step-by-step explanation:

A proportion can be used to find the amount of sugar.

  x/(1.1 L) = (0.1 kg)/(0.275 L)

  x = (1.1)(0.1)/0.275 kg = 0.4 kg

Angela needs 0.4 kg of sugar for her biscuits.

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Can someone help me please
FinnZ [79.3K]

Answer:

1/9, 3, 27

(A / the first option listed)

Step-by-step explanation:

Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression

first,

x = -2

3ˣ → 3⁻²

when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:

3²  =  3 · 3 =  9

so, 3⁻² =  \frac{1}{9}  (1/9)

next,

x = 1

3ˣ → 3¹

now, here we have something raised to the power of 1, which is always itself, so  3¹ = 3

   (think of ^to the power of  as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)

and finally,

x = 3

3ˣ → 3³

here, we can multiply 3 by itself 3 times:

3 · 3 · 3 = 27

so, 3³ = 27

[<em>important note</em><em>: when we raise something to a power, we are </em><u><em>not</em></u><em> multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}</em>

So, our answers in order are:

1/9, 3, 27 (the first option listed)

hope this helps! let me know if I should clarify anything :)

8 0
2 years ago
HELP ASAP!
igomit [66]

Let us Verify Option - B

If Option - B is the Solution it should satisfy the Equation.

Given Equation : 7x - 5y = 28

Substituting x = 4 and y = 0 in the Equation, We get :

⇒ 7(4) - 5(0) = 28

⇒ 28 = 28

⇒ Ordered pair (4 , 0) is the Solution of the Equation 7x - 5y = 28

⇒ Option B is the Answer

6 0
4 years ago
Simplify:<br>(3·5)^2 -- 5 · (3)^2
MAXImum [283]

Answer:

0.216

Step-by-step explanation:

3/5^3 = 27

125

= 0.216

6 0
3 years ago
Read 2 more answers
During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
frez [133]

Answer:

37

Step-by-step explanation:

A manager gives gift cards to every 80th customer. On Saturday, 1210 customers entered, while on Sunday, 1814 customers entered. We are asked to find the number of people who received gift cards.

Consider Saturday:

(1) Probably the most efficient method is to divide 1210 by 80.

(The first gift card was given to the 80th person and 80/80=1. The second to the 160th person and 160/80=2. The third to the 240th person and 240/80=3, etc...)

So 1210 divided by 80 is 15 with a remainder of 10.

15 people received gift cards on Saturday.

(2) We could set up a linear inequality where the unknown x represents the number of people receiving gift cards. Then 80x<1210 and x<15.125 so x=15.

(3) You could just keep adding, perhaps in a table, until you got to the last person:

(# customers, # gift cards): (80,1), (160,2), (240,3)...(1120,14), (1200,15)

The answer will not change, but the manager can either start counting at zero again on Sunday, or continue from the previous day making the first person in on Sunday number 11.

Again we take 1814 divided by 80 to get 22 with a remainder of 54. (With the additional 10 from Saturday we would have remainder 64, but still not enough people to give out another card.)

15 cards given out Sat with 22 cards given out Sun means that there were a total of 15+22=37 people who received gift cards.

Sorry its alot

4 0
3 years ago
Read 2 more answers
a DVD storage tower has eight shelves. Each shelf can display 12 DVDs. How many storage towers does a worker need to display 144
Vikentia [17]
120 i believe. 1440/12
7 0
3 years ago
Read 2 more answers
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