in a group of 26 children, 50% have blue eyes. how many children have blue eyes?

Answer:

10 pages per technician per day is the unit metric for the production work.

Step-by-step explanation:

Consider the provided information.

Stiviko's approved work plan included 4 technicians to create 200 web pages  over 5 days.

They can create 200 web pages over 5 days.

[tex]\frac{200}{5}=40[/tex]

That means in one day they can create 40 pages.

There are 4 technicians who work, therefore the unit metric for the production work is: [tex]\frac{40}{4}=10[/tex]

Hence, 10 pages per technician per day is the unit metric for the production work.

Answer:

10 pages per technician per day

Step-by-step explanation:

Answer:

[tex]\large\boxed{\sqrt{108}=6\sqrt3}[/tex]

Step-by-step explanation:

[tex]\sqrt{108}=\sqrt{4\cdot27}=\sqrt{4\cdot9\cdot3}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt9\cdot\sqrt3=2\cdot3\cdot\sqrt3=6\sqrt3\\==========================\\\\\sqrt{108}=\sqrt{36\cdot3}=\sqrt{36}\cdot\sqrt3=6\sqrt3\\\\==========================\\\\\begin{array}{c|c}108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}\qquad108=2^2\cdot3^2\cdot3\\\\\sqrt{108}=\sqrt{2^2\cdot3^2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt3\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot3\cdot\sqrt3[/tex]

Answer:

(1, 3 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

x + y = 4 → (2)

Substitute y = 3x into (2)

x + 3x = 4, that is

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (1) for corresponding value of y

y = 3 × 1 = 3

Solution is (1, 3 )

Answer:

x = 1 & y = 3

Step-by-step explanation:

y = 3x -----(1)

x + y = 4 -------(2)

sub(1)into(2)

x + 3x = 4

4x = 4

x = 1

sub x=1 into(1)

y = 3(1)

y = 3

You left out how much flour each pizza needs. Without that info no one can answer teh question.

Answer:

True

Step-by-step explanation:

Horizontal lines with equation y = c where c is the value of the y- coordinates the line passes through are parallel to the x- axis and have a slope of zero.

Vertical lines with equation x = c where c is the value of the x- coordinates the line passes through are parallel to the y- axis and have an undefined slope.

Answer:

a. 4 represents the amount of pounds of strawberries each friend got.

b. 4 represents the number of friends who were sharing the strawberries.

Step-by-step explanation:

You need to analize the information given in the exercise.

You know that the total amount of pounds of strawberries that are shared equally is:

[tex]Total=20\ lb[/tex]

a. Then if the group of people is formed by 5 friends, you need to divide the total pounds of strawberries that by 5 in order to calculate the amount of pounds of strawberries each one of them got.

If in the equation [tex]20\div5=4[/tex], 5 represents the number of people, then 4 represents the amount of pounds of strawberries each friend got.

b. If each person got 5 pounds of strawberries, you can calculate the number of friends who was sharing them by dividing the total pounds of strawberries by 5.

So, if in the equation [tex]20\div5=4[/tex],  5 represents the pounds of strawberries per person, then 4 represents the number of friends who were sharing the strawberries.

The mathematics problem given, namely 20 divided by 5 equals 4, represents the principle of equally distributing 20 strawberries among 5 friends. Each friend gets 4 strawberries.

The subject of your question is mathematics. The equation 20 divided by 5 equals 4 represents how twenty pounds of strawberries can be equally divided among a group of five friends. This is a division problem, an essential operation in arithmetic.

The principle it is demonstrating is how to distribute something equally among a group. In this case, if we have 20 strawberries and need to distribute them evenly among 5 friends, each friend will receive 4 strawberries. This is represented mathematically as 20 (total strawberries) divided by 5 (number of friends) equals 4 (strawberries per friend). So, your equation is correct.

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Answer:

The answer is 148 degrees

Step-by-step explanation:

I'm pretty sure it is 148°... In my notes it says "if a tangent to a circle & a chord intersect at a point on the circle, then the measure of each angle they form is one-half the measure of its intercepted arc." Hope this helps...

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The measure of arc QPN is 148° if the measure of angle QNT is 74°.

Given a circle with center O.

TS is the tangent of the circle at point N.

From the figure, we have, ∠ONT = 90°, since the angle formed at the tangent by the diameter is always the right angle.

Now,

m∠ONT = m∠QNT + m∠ONQ

Substitute the values.

90° = 74° + m∠ONQ

m∠ONQ = 90 - 74 = 16°

Now, from triangle QNO, OQ = ON, since, both are radii of the same circle.

The angle which lies opposite to these sides will be also equal.

So, m∠ONQ = m∠OQN =  16°.

Now, by the angle sum property of a triangle, the sum of the interior angles of a triangle is 180°.

So,

m∠ONQ + m∠OQN + m∠QON = 180°

16° + 16° + m∠QON = 180°

m∠QON = 180° - (16° + 16°)

m∠QON = 148°

The measure of arc QPN is equal to the central angle = 148°

Learn more about Central Angles here :

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The complete question is given below:

Answer:

[tex]y = - \frac{2}{3} x - 5[/tex]

Step-by-step explanation:

slope intercept form is y =mx+b

m is the slope

b is the y intercept

if you have any questions feel free to ask :)

Answer:

She should sell 20 band posters from total 80 to keep the maintain the same ratio.

Step-by-step explanation:

The total number of movie posters collector has  = 120

The total number of band posters collector has  = 80

The current ratio of movie poster : band poster  = 120 : 100

or, reducing the ratio further, we get

ratio of movie poster : band poster  = 6 : 5   ......  (1)

Now, the number of posters she wants to sell = 24

So, the remaining movie poster left = 120 - 24  = 96

Let us assume she sells m band posters to keep the ratio equal.

So, the number of band posters she is left with = 100 - m

⇒The ratio of movie poster left  : band poster  left = 96 : 100 - m  .. (2)

Now here as the ratio remains same after selling m band posters, so

[tex]\frac{6}{5}  = \frac{96}{100 - m} \\\implies 100 - m = 96 \times\frac{5}{6} =  80\\or, 100 - 80 = m\\\implies  m= 20[/tex]

or, m = 20

Hence, she should sell 20 band posters from total 80 to keep the maintain the same ratio.

Answer:

Total number of Jelly beans in the sack = 72

Number of red beans = 36

Number of green beans = 12

Number of yellow beans = 12

Number of orange beans = 6

Number of black beans = 6

Step-by-step explanation:

Let total number of jelly beans be =[tex]x[/tex]

We are given fractions of different colors of beans. To find the exact number of beans we need to multiply the fraction with the total number of beans.

Fraction of total are red beans = [tex]\frac{1}{2}[/tex]

Number of red beans = [tex]\frac{1}{2}\times x= \frac{x}{2}[/tex]

Fraction of total are green beans = [tex]\frac{1}{6}[/tex]

Number of green beans = [tex]\frac{1}{6}\times x= \frac{x}{6}[/tex]

Fraction of total are yellow beans = [tex]\frac{1}{6}[/tex]

Number of yellow beans = [tex]\frac{1}{6}\times x= \frac{x}{6}[/tex]

Fraction of total are orange beans = [tex]\frac{1}{12}[/tex]

Number of orange beans = [tex]\frac{1}{12}\times x= \frac{x}{12}[/tex]

Number of black beans = 6

Total number of beans can be given as

[tex] \frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6[/tex]

Since we assumed total number of beans to be [tex]x[/tex], so we have.

[tex] \frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6=x[/tex]

Multiplying each term by 12 to remove fractions.

[tex] (12\times\frac{x}{2})+(12\times\frac{x}{6})+(12\times\frac{x}{6})+(12\times\frac{x}{12})+(12\times6)=12\times x[/tex]

[tex]6x+2x+2x+x+72=12x[/tex]

combining like terms.

[tex]11x+72=12x[/tex]

Subtracting both sides by [tex]11x[/tex]

[tex]11x+72-11x=12x=11x[/tex]

[tex]72=x[/tex]

∴ [tex]x=72[/tex]

Total number of Jelly beans in the sack = 72

Number of red beans = [tex]\frac{1}{2}\times 72= 36[/tex]

Number of green beans = [tex]\frac{1}{6}\times 72= 12[/tex]

Number of yellow beans = [tex]\frac{1}{6}\times 72= 12[/tex]

Number of orange beans = [tex]\frac{1}{12}\times 72= 6[/tex]

number of black beans = 6

Justin has 72 jelly beans in total. By dividing the total number accordingly, he has 36 red, 12 green, 12 yellow, 6 orange, and 6 black jelly beans.

Let's assume the total number of jelly beans Justin has is represented by the variable x. We know that half of them are red, so there are x/2 red jelly beans. Similarly, since 1/6 are green and another 1/6 are yellow, there are x/6 green jelly beans and x/6 yellow jelly beans. As for the orange jelly beans, they represent 1/12 of the total, which means Justin has x/12 orange jelly beans. We are given that there are 6 black jelly beans, which do not need to be divided into fractions. To find the total, x, we can write an equation considering all the portions mentioned and the known number of black jelly beans:

x/2 (red) + x/6 (green) + x/6 (yellow) + x/12 (orange) + 6 (black) = x

Finding a common denominator (12), we rewrite the equation:

6x/12 + 2x/12 + 2x/12 + x/12 + 6 = x

Combine like terms:

(6x + 2x + 2x + x)/12 + 6 = x

11x/12 + 6 = x

To solve for x, subtract 11x/12 from both sides:

6 = x - 11x/12

6 = x(12/12) - 11x/12

6 = (12x - 11x)/12

6 = x/12

Multiplying both sides by 12 gives us:

x = 72

So, Justin has a total of 72 jelly beans. Calculating the number for each color:

In conclusion, Justin has 36 red, 12 green, 12 yellow, 6 orange, and 6 black jelly beans, adding up to a total of 72 jelly beans.

Answer:

10 3/13

Step-by-step explanation:

Answer:

[tex]\large\boxed{\dfrac{133}{3}=10\dfrac{3}{13}}[/tex]

Step-by-step explanation:

[tex]\dfrac{133}{13}=\dfrac{130+3}{13}=\dfrac{130}{3}+\dfrac{3}{13}=10+\dfrac{3}{13}=10\dfrac{3}{13}[/tex]

Answer:

For 2.5 x - 1.75 = 5 (7 - 0 5 x) ,   x  = 1.47/1.1

Step-by-step explanation:

Here, the given equation is :  2.5 x - 1.75 = 5 (7 - 0 5x)

By DISTRIBUTIVE PROPERTY:

A(B -  C) =  AB - AC

Solving for the value of x , we get:

2.5 x - 1.75 = 5 (7 - 0 5 x)

⇒ 2.5 x - 1.75 = 5 (7)  - 5 (05 x)

⇒ 2. 5 x - 1. 75 = 35 - 25 x

or, 2. 5 x + 25 x = 35 + 1. 75

or, 27 . 5 x = 36.75

⇒ x =  36.75/ 27.5  =  7.35/ 5.5 = 1.47/1.1

or, x  = 1.47/1.1

Hence, for 2.5 x - 1.75 = 5 (7 - 0 5 x) ,   x  = 1.47/1.1

Answer:

The answer is 30 I just did this

Step-by-step explanation:

Follow me and thank me plz

Answer:

4 weeks

Explanation:

Length of Lavita’s painting = [tex]1 \frac{2}{3} m=\frac{5}{3} m[/tex]

Length she was able to finish each week= [tex]\frac{3}{8}m[/tex]

Now,

If she is able to finish[tex]\frac{3}{8}m[/tex] in 1 week

Then

[tex]\frac{3}{8}m[/tex] = 1 week

1 m = [tex]\frac{8}{3}m[/tex] week

Therefore

[tex]\frac{5}{3} m=\frac{8}{3} \times \frac{5}{3} \text { week }[/tex]

= [tex]\frac{40}{9}[/tex]week

=4.44 week

= 4 weeks (approx.)

Answer:

[tex]y=8\cos \left(\dfrac{1}{2}x+\pi\right)+2[/tex]

Step-by-step explanation:

The equation of cosine function will be

[tex]y=a\cos (kx+b)+c[/tex]

Find [tex]a:[/tex]

The minimum y is [tex]y_{min}=-6,[/tex] the maximum  y is [tex]y_{max}=10,[/tex] so

[tex]a=\dfrac{1}{2}\cdot |-6-10|=\dfrac{1}{2}\cdot 16=8[/tex]

Find [tex]k:[/tex]

The period of the function is [tex]T=4\pi,[/tex] so

[tex]T=\dfrac{2\pi }{k}\Rightarrow k=\dfrac{2\pi }{4\pi }=\dfrac{1}{2}[/tex]

Find [tex]b:[/tex]

At [tex]x=0,\ y=y_{min}=-6[/tex]

Function [tex]y=\cos x[/tex] at [tex]x=0[/tex] has the value [tex]y=y_{max}=1,[/tex] so [tex]b=\pi[/tex] [translate by one-fourth of the period]

Find [tex]c:[/tex]

The graph has the midline [tex]y=\dfrac{10-6}{2}=2,[/tex] so [tex]c=2.[/tex]

Hence,

[tex]y=8\cos \left(\dfrac{1}{2}x+\pi\right)+2[/tex]

Answer:

900 minutes

Step-by-step explanation:

Plan A: 700 free minutes + 15 cents per minute over 700 ($40)

Plan B: 500 free minutes + 5 cents per minute over 500 ($50)

The charges for x minutes (assumed x>700) for plan A will be

40+0.15(x-700)

The charges for x minutes (assumed x>500) for plan B will be

50+0.05(x-500)

To find the value of x where both charges are the same, we equate

40+0.15(x-700)=50+0.05(x-500)

Operating

40+0.15x-105=50+0.05x-25

Simplifying

0.10x=90

x=900 minutes

Both plans would charge the same amount when 900 minutes per month are used

Answer:

3500

Step-by-step explanation:

I divided everything and I ended up just multiplying 70x50 which got me 3500. I'm sorry, but I don't know in what way to write the equation. I don't know if it's y=mx+b or some other way. all I was able to come up with was y=50x+70

A graph of a right-angled triangle, ΔABC with side lengths of 3, 4, and 5 units is shown in the picture below.

In Mathematics and Euclidean Geometry, a triangle is a two-dimensional geometric shape that comprises three side lengths, three vertices and three angles only.

Generally speaking, there are five major types of triangle based on the length of their side lengths and angles, and these include the following;

In this scenario, the lengths of three of the sides of the triangle and the measure of the included angle are;

AB = 3 units with vertices A (0, 3)

BC = 4 units with vertices B (0, 0).

AC = 5 units with vertices C (4, 0)

m∠B = 90 degrees.

In conclusion, we would use an online graphing tool to plot this right-angled triangle as shown in the image attached below.

Complete Question:

Drag the vertices of the triangle below to draw a right triangle with side lengths 3, 4, and 5.

Answer:

Step-by-step explanation:

Tip: say they are congruent if they have the same lines and seem to be same size of triangles.

For the how do you know part it can only be SSS, SAS, or SSA Good Luck Tried my best :).

Answer:

A

Step-by-step explanation:

We take the percentage raise and convert to decimal by dividing by 100. Then multiply this with the salary before raise. This will give us the "raise amount".

Then we will add up all of the "raises" of 3 employees to get our answer.

Jane = 4/100 = 0.04

0.04*41,500 = 1660

John = 4.5/100 = 0.045

0.045 * 44,100 = 1984.5

Jack = 3/100 = 0.03

0.03 * 39,600 = 1188

Sum of all 3 raises:

1660 + 1984.5 + 1188 = $4832.5

From the answer choices, A is the closest, $4833

Answer:

B. -x + 8

Step-by-step explanation:

Given expression

[tex]\dfrac{8-4(x-6)}{4}[/tex]

Consider the numerator [tex]8-4(x-6).[/tex]

First, use distributive property:

[tex]8-4(x-6)=8-(4x-24)[/tex]

Open the brackets:

[tex]8-(4x-24)=8-4x+24[/tex]

Combine the like terms:

[tex]8-4x+24=(8+24)-4x=32-4x[/tex]

Again use distributive property:

[tex]32-4x=4\cdot 8-4x=4(8-x)[/tex]

Now, the expression is

[tex]\dfrac{4(8-x)}{4}=8-x\ \text{or}\ -x+8[/tex]

Answer:

x^2+6x+2 = (x+3)²-7

the vertex is minimum and its coordinates is (-3,-7)

Look at the photo below for more info.

Answer: Yes

Step-by-step explanation: Erica would be correct. 4x is called a term. When we see a variable next to a number which in this case is X, it's important to understand that this means multiplication.

We can also say that the expression 4x is a product of both 4 and X.

Final answer:

Erica is correct; the expression 4x is considered one term because it consists of a single element with a coefficient and a variable multiplied together.

Explanation:

Erica is correct in saying that the expression 4x has one term. In mathematics, a term is a single mathematical expression that may be a number, a variable, or numbers and variables multiplied together. The expression 4x consists of the number 4 and the variable x multiplied together, which forms a single term. It does not have any addition or subtraction signs that would separate it into multiple terms.

Answer:

Co-ordinates of point R is (26,2)

Step-by-step explanation:

Given point:

Endpoint S(8,4)

Mid-point M of segment RS (17,3)

Let endpoint [tex]R[/tex] have co-ordinates [tex](x_2,y_2)[/tex]

Using midpoint formula:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are co-ordinates of the endpoint of the segment.

Plugging in values to find the midpoint of segment KN.

[tex]M=(\frac{8+x_2}{2},\frac{4+y_2}{2})[/tex]

We know [tex]M(17,3)[/tex]

So, we have

[tex](17,3)=(\frac{8+x_2}{2},\frac{4+y_2}{2})[/tex]

Solving for [tex]x_2[/tex]  

[tex]\frac{8+x_2}{2}=17[/tex]

Multiplying both sides by 2.

[tex]\frac{8+x_2}{2}\times 2=17\times 2[/tex]

[tex]8+x_2=34[/tex]

Subtracting both sides by 8.

[tex]8+x_2-8=34-8[/tex]

∴ [tex]x_2=26[/tex]

Solving for [tex]y_2[/tex]  

[tex]\frac{4+y_2}{2}=3[/tex]

Multiplying both sides by 2.

[tex]\frac{4+y_2}{2}\times 2=3\times 2[/tex]

[tex]4+y_2=6[/tex]

Subtracting both sides by 4.

[tex]4+y_2-4=6-4[/tex]

∴ [tex]y_2=2[/tex]

Thus co-ordinates of point R is (26,2)  (Answer)

Answer:

10 weeks

Step-by-step explanation:

so 14 pieces in 7 weeks is 2 a week

so using that rate in 10 weeks you would get 20 pieces

Answer:

Let l be the length and w the width of the rectangle.

P as the perimeter and A as the area.

length of a rectangle is four times the width:

w = w

l = 4w

System of equation : 2l + 2w = P

Substitute:

2(4w) + 2w = 45

8w + 2w

10w = 45

w = 45 / 10

w = 4.5

Solve for l:

l = 4w

l = 4(4.5)

l = 18

Area:

A = lw

A = 18(4.5)

A = 81 in²

Answer:

area =81  square inches

Step-by-step explanation:

width =w

lenght= 4w

2w + 2(4w)=45

10w=45

w=4.5

l= 4.5(4) = 18

4.5+4.5 +18+18 = 45

Area = l*w

4.5*18 = 81

Area= 81 square inches

Answer:

Pretty sure the answer is 20 :)

Answer:

20 inches

Step-by-step explanation:

From the question, diagonal of the television screen is given to be 25 inch and the  width of the television set is given to be 15 inches and we are asked to find the height of the screen.

We can solve this question using the Pythagoras theorem.

The Pythagoras theorem states that in a right-angle triangle;

opposite²  +  adjacent²  = hypotenuse²

From the question, the width is given to be 15 inches, the with is  our adjacent. Also the diagonal is given to be 25 inches, the diagonal is  our hypotenuse. And we were ask to find the height, the height is our opposite.

so;

opposite = ?  

adjacent = 15

hypotenuse = 25

Let opposite = x

we can now substitute into our theorem;

opposite²  +  adjacent²  = hypotenuse²

x²     +    15²  = 25²

x²   =   25²  -   15²

x²    =  625  -  225

x²   = 400

x    =  √400

x     =  20

opposite  =  20 inches

Since opposite is the height of the screen, then the height of the screen is 20 inches.

Therefore the height of the screen is 20 inches.  

Answer:

Total number of employees at Tia's toy store [tex]=9[/tex]

Step-by-step explanation:

To find the number of employees who worked on Tia's store .

We have to add the total number of values from the employee column.

As the question mentioned.

Each of the staff members have different number of hours of sleep on thanksgiving night.

So

The summation of the number of employees from the frequency table

[tex]=(1+0+4+2+1+1)=9[/tex]

So there are [tex]9[/tex] employees working on thanksgiving night in Tia's store.