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2 years ago

Luke made cookies he used 1/2 of a cup of flour and 2/5 of cup of sugar. How much more flour than sugar did Luke use

Mathematics

1 answer:

VLD [36.1K]2 years ago

8 0

Answer:

1/10

Step-by-step explanation:

2/5 a cup of sugar

1/2 a cup of flour

-Convert to 10ths:

4/10 of sugar, and 5/10 of flour.

Luke used 1/10 more flour than sugar.

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Frank is having a raised rectangular platform built. He designed it so that the length of the platform is 4 feet longer than the

Anastaziya [24]

One system of equations would be
L = w+4
H = w-10
4H + 8(wL) = 1544
There is one viable solution; the width is 12, the length is 16, and the height is 2.

Using substitution with the system of equations, we have
4(w-10)+8(w(w+4))=1544
4w-40+8(w²+4w)=1544
4w-40+8w²+32w=1544

Combining like terms, we have
8w²+36w-40=1544

Factoring out a 4, we have
4(2w²+9w-10)=1544

Dividing both sides by 4 gives us
2w²+9w-10=386

Subtract 386 from both sides to get
2w²+9w-396=0

Using the quadratic formula, we have
$w=\frac{-9\pm \sqrt{9^2-4(2)(-396)}}{2(2)}
\\
\\=\frac{-9\pm \sqrt{81--3168}}{4}
\\
\\=\frac{-9\pm \sqrt{3249}}{4}=\frac{-9\pm 57}{4}
\\
\\=\frac{-9+57}{4}\text{ or }\frac{-9-57}{4}=\frac{48}{4}\text{ or }\frac{-66}{4}
\\
\\=12\text{ or }-16.5$

Since a negative width makes no sense, we know that w=12.

This means L=w+4=12+4=16 and H=w-10=12-10=2

5 0

4 years ago

Fin the value of<br><br>2000% of 5 cents

MatroZZZ [7]

$\frac{2000}{100} \times 5 = 20 \times 5 = 100 \\$
So, the answer is 100 cents.

5 0

4 years ago

A cylinder has a volume of 321 cubic units. If a cone has the same height and radius as the cylinder, what is the volume in cubi

Sati [7]

Cone's volume is third of cylinder's volume, so 321*1/3=107 cubic units. Answer A. is correct.

4 0

3 years ago

Read 2 more answers

If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence

zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

P= initial amount

r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

r= 3%= 3/100= 0.03

t= 2 years

A= 600(1+0.03*2)

A= 600(1+0.06)

A= 600(1.06)

A= $636

Interest = 636-600= $36

2. Given data

P= $600

r= 4%= 4/100= 0.04

n= 24

t= 2

A= 600(1+0.04/24)^24*2

A=600(1+0.0016)^48

A=600(1.0016)^48

A= 600*1.07975

A= 647.85

Interest = 647.85-600= $47.85

7 0

3 years ago

What is the scale of a map if 50 km in real distance is 2 dm on a map, I need a ratio answer, (EX: 1:500000)

pickupchik [31]

Answer:

1:25 (dm:km)

Step-by-step explanation:

For the ratio, you compare two units.

Naturally, we could say that 2 dm corresponds to 50 km

Written in fraction form:

2dm/50km

Simply the fraction normally:

1dm/25km

Just replace the "/" with ":"

1:25 (dm:km)

5 0

4 years ago