A bag contains red, white and black counters. The pie chart shows information about the counters in the bag. What fraction of the counters are red ? Give your answer in its simplest form.

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

=> 28b - b² - 187 = 0

=> b² - 28b + 187 = 0

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

(b - 11) = 0

=> b = 11

(b - 17) = 0

=> b = 17

therfore,

Answer:

1.5 square miles

Step-by-step explanation:

First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.

need help?

Step-by-step explanation:

just try plotting on a number line

Answer:

Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.

To find out- ∠QOR=?

Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.

∴ By rule, ∠QOR=2∠QPR.........(i).

Now PQR is an equilateral Δ. Each of its angle is 60

o

. i.e ∠QPR=60

o

.

So, from (i), ∠QOR=2∠QPR=2×60

o

=120

o

.

Ans- Option B.

solution

Answer:

C: m∠WXY + m∠YXZ = 180°

Step-by-step explanation:

edu is annoying to do, i got you :)

Answer:

$362.25

Step-by-step explanation:

Profit made per product :

Soft pretzel = $5.25 - $3.50 = $1.75

Candied apple = $3.50 - $1.75 = $1.75

For every 2 candied apple sold, 7 soft pretzel is sold :

If 161 sold pretzel is sold, the number of candied apple sold will be :

(161 / 7) * 2

23 *. 2 = 46 candied apple was sold

Profit made on product sold :

Soft pretzel = $1.75 * 161 = $281.75

Candied apple = $1.75 * 46 = $80.5

$(80.5 + 281.75) = $362.25

Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = [tex]\frac{Area}{length}[/tex]

             [tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]

Step-by-step explanation:

x' = ⅓ x => x = 3x'

f'(x) = 7(3x')+1

= 21x' + 1

so g(x) = 21x + 1

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

Answer:

The function represents the height of the water in the bucket

Step-by-step explanation:

Given

[tex]f(t) = -t^2 + 4t[/tex]

Required

State what the function represents

From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.

This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)

Answer:

A

Step-by-step explanation:

beacuse it is more reasonable hope this helps

===============================================

Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

Learn more about Dilation here:

https://brainly.in/question/30389359

#SPJ2

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

Answer:

I think it would be 5,625ft^2?

Step-by-step explanation:

300÷4=75

75×75=5,625

Answer

X=25

Step-by-step explanation:

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

Answer:

256

Step-by-step explanation:

Given. :

2⁴ / 2^-4

2⁴ = 2 * 2 * 2 * 2 = 16

2^-4 = 1/2⁴ = 1 / (2 * 2 * 2 * 2) = 1 / 16

16 ÷ (1 /16)

16 * 16 /1

= 256

Answer:

Step-by-step explanation:

1/256 i believe

Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

= $0.85

Then add this tax amount to the price to find the after-tax amount:

= 17 + 0.85

= $17.85

Answer:

y = 3x + 1

Step-by-step explanation:

first we need to find the slope

m = (y2-y1) / (x2-x1)

m = (10 - -2) / (3 - -1) = 3

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 10 = 3 ( x - 3)

y - 10 = 3x -9

y = 3x -9 + 10

y = 3x +1

Use the slope formula below (Rise Over Run)

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]

Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]

We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]

Answer

Answer:

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Answer:

0

Step-by-step explanation:

this is just to confuse us.

"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.

and 3 different functional definitions have been given based on the value of the argument "t".

we need the functional value for t=2.

is 2 = 8 ? no. therefore the first definition does not apply.

is 2 = 10 ? no. therefore the second definition does not apply either.

is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.

so, the third definition applies :

f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0

Answer:

7 and 11

Explanation:

Prime numbers are numbers that have only 2 factors; one and themselves.

Hope this helps!

Answer:

Only 7 and 11 are prime.

Step-by-step explanation:

prime numbers are numbers whose factors are only one and them selves

Answer:

Step-by-step explanation:

1. 56 + 81 = 137

2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.

3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

m(x) =-3x -3

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x +4

f(x) -g(x) =  2x + 1 -( 5x +4)

Distribute the minus sign

f(x) -g(x) =  2x + 1 -5x -4

Combine like terms

            = 2x-5x   +1 -4

             = -3x -3

Answer:

72 m^3

Step-by-step explanation:

volume of the kiosk = volume of cylinder + volume of cone

volume of a cylinder = nr^2h

n = 3.14

r = radius = 5/2 = 2.5

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x (2.5^2) x 3 = 58.88  

Volume of a cone = 1/3(nr^2h)

3.14 x 1/3 x (2.5^2) x 2 = 13.08

13.08 + 58.88 = 71.96

To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

= 72 m^3

Answer:

0.77

Step-by-step explanation:

According to the Question,

Let, We have 10000 patients & If the incidence rate is 10 out of 100, then 1000 people will have the disease.

        So, Out of the 9000 people who don't have the disease, 3%

       that is, 270 People, will get a false positive.

Thus, the probability that a person is chosen at random will both test positive and actually have the disease is [tex]\frac{950}{950+270}[/tex] .