Pls help it’s easy and worth 10 pls.

Answer:

[tex]7w+5d\leq 50[/tex]

Step-by-step explanation

Let w represent  the number  of workbooks

Let d represent the number of dry erase boards

Then , we can create the inequality for this situation

[tex]7w+5d\leq 50[/tex]

Answer:

i think 8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Look at the graph, its a pattern. The number of weeks is Times 2 every time, therefore 10 *2 is 20, and the number of players are getting close

Answer:

25.5 minutes

Step-by-step explanation:

Answer:

4(x^2-x-20)=0

4(x-5)(x+4)=0

x=5,-4

Step-by-step explanation:

Answer:

P(both students passed the exam) = 0.61948

Step-by-step explanation:

From the given information:

P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)

= P (both are science students) + P(both are art students) + P(one from each group)

where;

P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18

P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213

P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182

P(both students passed the exam) = 0.18 + 0.1213 + 0.3182

P(both students passed the exam) = 0.61948

Answer:

The first one

Step-by-step explanation:

Dont have time to explain sry

Answer:

12

Step-by-step explanation:

If I translated correctly into my native language, then you need to write the equation of the straight line.

y=x this is a straight line through the first and third quarters.

1) multiply by 2: y= 2x

2) to raise the function by 3 units, you need to add 3 to it. For example: y=2x to bring it up: y=2x+3

Answer:

$60

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

This is the answer because:

1) $12t = total cost

2) t = tickets, 5 = tickets

3) $12 x 5 = $60

Therefore, the answer is $60.

Hope this helps! :D

Answer:

[tex]x = 1.5[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

[tex]4x + 2y = 8[/tex]

[tex]6x - 4y = 5[/tex]

Required

Solve for x and y

[tex]4x + 2y = 8[/tex] --- (1)

[tex]6x - 4y = 5[/tex] --- (2)

Divide equation (1) through by 2

[tex]\frac{1}{2}(4x + 2y) = 8*\frac{1}{2}[/tex]

[tex]2x + y = 4[/tex]

Make y the subject

[tex]y = 4 - 2x[/tex]

Substitute 4 - 2x for y in equation (2)

[tex]6x - 4y = 5[/tex]

[tex]6x - 4(4- 2x) = 5[/tex]

Open bracket

[tex]6x - 16+ 8x = 5[/tex]

Collect Like Terms

[tex]6x + 8x = 5+16[/tex]

[tex]14x = 21[/tex]

Solve for x

[tex]x = \frac{21}{14}[/tex]

[tex]x = 1.5[/tex]

Substitute 1.5 for x in [tex]y = 4 - 2x[/tex]

[tex]y = 4 - 2(1.5)[/tex]

[tex]y = 4 - 3[/tex]

[tex]y =1[/tex]

To check the solution:

Substitute the values of x and y i the equations

[tex]4x + 2y = 8[/tex]

[tex]4 * 1.5 + 2 * 1 = 8[/tex]

[tex]8 = 8[/tex]

[tex]6x - 4y = 5[/tex]

[tex]6 * 1.5 - 4 * 1 = 5[/tex]

[tex]5 = 5[/tex]

Hence, the solution is true

The volleyball team is selling 700 snack bags to raise money.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Sales of pretzels and cheese puffs represent 30% of overall sales, which means that 210 bags were sold.

This ratio could be established,

⇒ 210/30% = x/100%

⇒ x = (210)100%/30%

⇒ x = 70×10

⇒ x = 700

Thus we could evaluate that there are 700 bags in total.

Therefore, the volleyball team is selling 700 snack bags to raise money.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Since the line that we need to figure out is perpendicular to the one given, the slope of the line in question is going to be the opposite-reciprocal of the slope of the given line.

Slope of the given line = -12

Slope of the new line = [tex]\frac{1}{12}[/tex]

We will use the point given and the new slope to determine the y-intercept using slope-intercept form.

[tex]4 = \frac{1}{12}(0) + b\\\\4 = 0 + b\\\\4 = b[/tex]

Formula for this line

[tex]y = \frac{1}{12}x + 4[/tex]

We can graph the lines to check our work.

Both lines are perpendicular.

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

We know that ,

[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]

and

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)

Similarly ,

[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]

Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.

[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]

[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]

[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]

Now , we have got the length of all the sides of the triangle. So,

[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]

and

[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]

So,

[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]