in a class of 35 students 19 take Spanish, 18 take French and 3 take neither. Calculate how many take:
a) both French and Spanish
b) just Spanish
c) just French ​

Step-by-step explanation:

If two lines have the same slope and the same y-intercept, there are infinite solutions.

If two lines have the same slope and different y-intercepts, there are zero solutions.

Otherwise, if the two lines have different slopes, then there is one solution.

The slope of the first line is 3/8.  The slope of the second line is 16/32 = 1/2.  The slopes are different, so there is only one solution.

The solution of the given system of equations is (x, y) = (8.75, 2).

Given: System of equations

3x - 8y = 10                           …(1)

16x - 32y = 75                       …(2)

Consider equation (2).

⇒ 16x - 32y = 75

Dividing both sides by 16, we get:

⇒ x - 2y = 75/16

⇒ x = 2y + 75/16                  …(3)

Now, substitute the value of x = 2y + 75/16 in equation (1), we get:

⇒ 3(2y + 75/16) - 8y = 10

⇒ 6y + 225/16 - 8y = 10

⇒ 2y = 225/16 - 10

⇒ 2y = (225 - 160)/16

⇒ 2y = 65/16

⇒ y = 65/32

⇒ y ≈ 2

Now, put the value of y = 65/32 in equation (3), we get:

⇒ x = 2(65/32) + 75/16

⇒ x = (65/16) + (75/16)

⇒ x = 140/16

⇒ x = 8.75

Therefore, the solution for the given simultaneous equation is;

(x, y) = (8.75, 2)

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Answer:

The youngest brother is James and his age is 18 Years.

Step wise explaination:

Lets suppose,

age of James = x

age of Brandon = 2x

age of Marshall = 2x - 11

The sum of ages of three brothers = 79

now,

finding the value of x,

x + 2x + 2x - 11 = 79

or, 5x - 11 = 79

or, 5x = 79 + 11

or, 5x = 90

or, x = 90

5

so, x = 18.

Then,

age of James = 18.

age of Brandon = 2×18 = 36.

age of Marshall = (2×18) - 11 = 25.

Therefore,

The youngest brother is James and his age is 18 Years.

Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

IMS aka infintely many solutions :)

Step-by-step explanation:

2x+4(x-6)=3(2x-8)

distribute

2x+4x-24=6x-24

combine like terms

6x-24=6x-24

carry across equal sign

6x=6x

carry across equal sign

0=0 aka IMS

Answer:

No solutions I think

Step-by-step explanation:

2x + 4(x -6) = 3(2x -8)

2x + 4x -24 = 6x - 24

6x - 24 = 6x - 24

-6x +24  -6x +24

0 = 0

Hopefully this helped :)

Answer:If the number is over 5 then you go to the next number

Step-by-step explananation

7.99 = 8 its over 5

Answer:

equation calculator help u out

Answer:

y = 27.5

Step-by-step explanation:

120 (x) - 55 (y) = 65

65 / 2 = 32.5

60 - 32.5 = 27.5

x = 60 and y = 27.5

I really hope this helps...

Answer:

3375

Step-by-step explanation:

Answer:

Look at the graph for help

Step-by-step explanation:

if you need to graph us desmos graphing its free just plug in you cordinates

Answer:

$3.78

Step-by-step explanation:

$1.79+$1.99=$3.78

Answer:

$3.78

Step-by-step explanation:

true

Answer:

answer is b juicy how to do it

Answer:

57/99

Step-by-step explanation:

let's set up an equation:

x = 0.5757...

set up a second equation so the numbers after the decimal places are equal

100x = 57.5757...

subtract

100x = 57.5757...

- x = 0.5757

99x = 57

divide by 99

x = 57/99

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

We have,

Let x = 0.575757... (with 57 repeatings)

Multiplying x by 100,

100x = 57.575757...

Subtracting the original x from 100x,

100x - x = 57.575757... - 0.575757...

99x = 57

To obtain x, divide both sides by 99:

x = 57/99

Dividing both the numerator and denominator by 3,

x = (57/3) / (99/3)

x = 19/33

Therefore,

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

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Answer:

Third option: [tex]-10x^7y^2[/tex]

Step-by-step explanation:

[tex]12x^4\left(-\frac{5}{6}x^3y^2\right)[/tex]

Remove brackets:

[tex]12x^4\times-\frac{5}{6}x^3y^2[/tex]

Multiply the [tex]x^2[/tex]:

[tex]12\times-\frac{5}{6}x^{4+3}\times y^2[/tex]

[tex]12\times - \frac{5}{6}x^7y^2[/tex]

Multiply:

[tex]-\frac{5\times \:12x^7y^2}{6}[/tex]

[tex]-\frac{60x^7y^2}{6}[/tex]

Divide:

[tex]-10x^7y^2[/tex]

Answer:

the answer to your question is -10(x^7) (y^2)

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,-12) and (3,-8)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 3})^{2} + ({ - 12 + 8})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer: 4

Step-by-step explanation: 8-12=4

Answer:

The answer is

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1,3) and B(6,5)

The length is

[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]

We have the final answer as

[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]

Hope this helps you

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

[tex]n=\dfrac{128}{16}\\\\n=8[/tex]

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

Answer:

The correct answer is (D) 4

Step-by-step explanation:

Hopes this helps!

Answer:

(D) 4

Step-by-step explanation:

6/7

÷

3/14

=  

6/7

×

14/3

=  

6 × 14

7 × 3

=  

84/21

=  

84 ÷ 21

21 ÷ 21

=  4

Answer:

158

Step-by-step explanation:

If I is the midpoint of JH, JI= IH

JH= JI +IH

JH= JI +JI (subst. IH= JI)

JH= 2(JI)

Since JI= 79,

JH= 2(79)

JH= 158

Answer:

[tex] | - 9| = |9| [/tex]

This is because modulus number will be always positive

Hope this is correct and helpful

HAVE A GOOD DAY!

Here

mass = 3g

volume = 1 cm³

we know

density = mass/ volume

            3/1 = 3g/cm³

Answer:

No

Step-by-step explanation:

Even though he has a 1/6 chance of rolling it he still has a 16.67% percent chance

Answer:

here's the sample answer!

Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.

Step-by-step explanation:

Answer:

A) (3,7)

Step-by-step explanation:

If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)

Answer:

A) (3,7)

Step-by-step explanation:

if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

Decimal Answer: 7.23

Step-by-step explanation: 7+23/100 = 7.23

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

13 seconds

Step-by-step explanation:

It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0