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Bess [88]
3 years ago
11

Find two numbers such that the sum of the first and three times the second is 5 and the sum of the second and two times the firs

t is 8.
Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

first number= 19/5

second number= 2/5

Step-by-step explanation:

first number= a

second number= b

a+3b=5   equation 1

b+2a=8  equation 2

using equation 2 we have

b=8-2a

using equation 1 we have

a+3(8-2a)=5  

a+24-6a=5

24-5=6a-a

19=5a

a=19/5 = first number

so using b=8-2a

we have

b=8-2(19/5)

b=8-(38/5)

b=2/5 = second number

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I need help please...
lutik1710 [3]

hi hun!

From what I understand, ill explain to the best of my knowledge so u understand!

First. off they asked for "proportionality" basically asking for the rate it's growing at or weeks its taking.

I see that:

Flower 1: 6 inches

Flower 2: 10 inches

Flower 3: 14 inches

The proportionality which these flowers are growing at is 4 inches every two weeks.

And I also see:

Week 3

Week 5

Week 7

When u look closer u can see that the weeks are divisible by the inches for each of the flowers and each answer u get is 2!

And also just by looking at the weeks which are 2 weeks separate if u count them.

Week 3 would be:

6/3=2

Week 5 would be:

10/5=2

Week 7 would be:

14/7=2

so the proportionality is 2! c:

- Castiel (She/They)

6 0
3 years ago
Solve for the unknown in the following diagram. Round the answer to two decimal places.<br>in<br>​
Alexxandr [17]

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

\frac{130}{sin(48)} = \frac{x}{sin(80)}

Multiply both sides by sin(80)

\frac{130*sin(80)}{sin(48)} = x

172.274641 = x

x = 172.27 in. (to 2 decimal places)

4 0
3 years ago
On Wednesday 34 of the customers who bought gas at a gas station made additional purchases. There were 120 customers who bought
avanturin [10]

Answer:

86

Step-by-step explanation:

5 0
3 years ago
For each $n \in \mathbb{N}$, let $A_n = [n] \times [n]$. Define $B = \bigcup_{n \in \mathbb{N}} A_n$. Does $B = \mathbb{N} \time
andre [41]

Answer:

No, it is not.

Step-by-step explanation:

The set C = \mathbb{N} \times \mathbb{N} contains every ordered pair of Natural numbers, while B only contains those pairs in which both values in each entry are the same. Therefore, C is a bigger set than B, but B is not equal to C because for example C contains [1] \times [2] and B doesnt because 1 is not equal to 2.

4 0
3 years ago
Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea
amm1812

The number of cookies and trays are illustrations of greatest common factors.

  • The number of trays is 8
  • 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}

\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}

\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}

So, the GCF is:

\mathbf{GCF= 2 \times 2 \times 2}

\mathbf{GCF= 8}

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

Divide each cookie by the number of trays

So, we have:

\mathbf{Chocolate\ chip = \frac{48}{8} = 6}

\mathbf{Rainbow = \frac{64}{8} = 8}

\mathbf{Oatmeal = \frac{150}{8} = 15}

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0
2 years ago
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