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Kipish [7]
3 years ago
15

Express the ratio 7/30: 1/4 in the form of r:s in lowest terms, where r and s are integers

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0

Answer:

14:15

Step-by-step explanation:

7:30:1/4  = 7/30* 4/1 =  28/30 = 14/15  = 14:15

Murrr4er [49]3 years ago
6 0

Answer:

14 : 15

Step-by-step explanation:

Given the ratio in fractional form

\frac{7}{30} : \frac{1}{4}

To clear the fractions multiply both by the lowest common multiple of 30 and 4, that is 60

60 × \frac{7}{30} : 60 × \frac{1}{4}

= 2 × 7 : 15 × 1

= 14 : 15

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FrozenT [24]

Answer:

a=8

b=5

x=13

Step-by-step explanation:

Use Pythagoras's Theorem to find A

h²=y²+z²

10²=a²+6²

100=a²+36

∴a²=64

∴a=8

Use Pythagoras's Theorem to find A

h²=y²+z²

9²=b²+6²

81=b²+36

∴b²=45

∴b=3√5

x=a+b

=8+3√5

7 0
3 years ago
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olganol [36]

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3 years ago
Can someone please clearly and correctly solve and show me how to work out QUESTION 3 AND 4??
vredina [299]
There are 2 options to solve that.
1. The first one is by derivatives. 
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
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you have x so put x into the main equation
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For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
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3 0
3 years ago
Jack has some marbles. He has ten more red marbles than blue marbles. He has fewer yellow marbles than blue marbles.
kap26 [50]

Answer:

<u>Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.</u>

Step-by-step explanation:

1. Let's review the information given to us to solve the problem correctly:

Number of red marbles = 10 more than blue marbles

Number of yellow marbles fewer than blue marbles

2. How many of each color marble could Jack have?

r = Number of red marbles

b = Number of blue marbles

y = Number of yellow marbles

r = b + 10

y < b

If y = 1, then b ≥ 2, and r = b + 10,

fulfilling the three conditions, we have:

<u>y = 1, b = 2, and r = 12</u>

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Answer:

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Step-by-step explanation:

4 0
2 years ago
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