On number is three more than three times another. Their sum is -5. Find the numbers

Lucy and her mother made tacos they put 2 tacos on each of 7 plates select the number sentences that show all the tacos Lucy and

vesna_86 [32]

2 times 7 = 14 is the right answer

7 0

4 years ago

Read 2 more answers

There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could pl

Dafna11 [192]

Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

6 0

4 years ago

Simplify 12cm to 2.5mm

julia-pushkina [17]

Given:

12cm to 2.5mm

To find:

The simplified for of given statement.

Solution:

We know that,

1 cm = 10 mm

12 cm =120mm

We have,

12cm to 2.5mm

It can be written as

$\dfrac{12\ cm}{2.5\ mm}=\dfrac{120\ mm}{2.5 mm}$

$\dfrac{12\ cm}{2.5\ mm}=\dfrac{120}{2.5}$

$\dfrac{12\ cm}{2.5\ mm}=48$

Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.

7 0

3 years ago

Change the width 20/16 inches to a mixed numeral in simplest form.

Iteru [2.4K]

Answer:1 and 1/4

Step-by-step explanation:

Okay, let's see the given: 20/16

So, we can take out 16 from the top to make it 1 4/16

Now, we can simplify that by dividing the top and bottom by 2: 1 2/8

We can simplify that again to get 1 1/4

So the answer is 1 and 1/4

5 0

3 years ago

Select the description that is true of the equation y=-5x+5 .

gladu [14]

In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

y = (m)x + (b)
y = -5 x + 5.....slope (m position) = -5....y int (b position) = 5

3 0

3 years ago

On number is three more than three times another. Their sum is -5. Find the numbers​

On number is three more than three times another. Their sum is -5. Find the numbers