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defon
3 years ago
10

Ivan and Tanya share £150 in the ratio of 4:1 how much more does ivan have than tanya

Mathematics
1 answer:
Grace [21]3 years ago
3 0
150. 1:4. 120:30. 120-30=90
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Which situation represents a proportional relationship?
Natalka [10]

Answer:

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

The ratio between the two variables is a constant called constant of proportionality k

k=y/x

<u><em>Verify each case</em></u>

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

\frac{4}{12}=\frac{9}{25}

Multiply in cross

4(25)=9(12)\\100\neq108

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

\frac{5}{25}=\frac{8}{40}

Multiply in cross

5(40)=8(25)\\200=200

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

\frac{24}{6}=\frac{46}{9}

Multiply in cross

24(9)=46(6)\\216\neq276

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

\frac{14}{2}=\frac{30}{4}

Multiply in cross

14(4)=30(2)\\56\neq60

Is not true

therefore

The situation not represent a proportional relationship

7 0
3 years ago
PLEASE HURRY
faust18 [17]

Step-by-step explanation:

width= w

length = l=w+5

Area = l * w

104 =(w+5) * w

w2 +5w -104 =0

(w+13)(w-8)=0

w=13 and w=8

so width =8

length=13

3 0
2 years ago
We are given a sequence of five non-zero numbers, where the sum of each term and its neighboring terms is 15 or 25. Find the sum
PSYCHO15rus [73]

We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.

We will see that the sum tends to infinity.

So we have 5 terms;

A, B, C, D, E.

We know that the sum of each term and its neighboring terms is 15 or 25.

then:

  • A + B + C = 15 or 25
  • B + C + D = 15 or 25
  • C + D + E = 15 or 25

Now, we want to find the sum of all the terms in the sequence (not only the 5 given).

Then let's assume we write the sum of infinite terms as:

a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + ...

Now we group that sum in pairs of 3 consecutive terms, so we get:

(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ...

So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.

Then we have:

(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) +  ... \to \infty

If you want to learn more, you can read:

brainly.com/question/21885715

3 0
2 years ago
A bin size of __ is most appropriate for the data set shown above??
Dahasolnce [82]
Im not sure but I think the answer is most likely...
D) 10.

Hope I helped :-)
8 0
2 years ago
How to simplify 3 over 18
Setler79 [48]
\frac{3}{18} = \frac{1\times3}{6\times3} =\boxed{\bf{\frac{1}{6}}}
4 0
3 years ago
Read 2 more answers
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