A factory makes 750 cakes every day. The cakes are orange cakes or lemon cakes. Each day Aadil takes a sample of 25 cakes to check. The proportion of the cakes in his sample that are orange is the same as the proportion of the cakes made that day that are orange. On Monday Aadil calculated that he needed exactly 7 orange cakes in his sample. a) What is the total number of orange cakes that were made on Monday​

Answer: 26

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then

∠A + ∠B = 90

∠A =90- ∠B

∠A  = 26

Answer:

The measure of [tex]\angle A[/tex]:

[tex]\angle A = 26\textdegree[/tex]

Step-by-step explanation:

Since both [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary (Which they both add up to 90°), and you want to find the measure of

Measure of [tex]\angle A[/tex]: unknown

Measure of [tex]\angle B[/tex]: 64°

Finding the measure of [tex]\angle A[/tex]:

[tex]90 - 64 = 26[/tex]

[tex]\angle A = 26\textdegree[/tex]

So, the measure for [tex]\angle A[/tex] is [tex]26\textdegree[/tex].

Answer:

Each Cup has 3/8

Step-by-step explanation:

Divide

Answer:

4 Student is 20% of 20 students

Step-by-step explanation:

if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20

so 20

4 Student is 20% of 20 students

Answer:

4 Student is 20% of _20___ students

Step-by-step explanation:

20% of x = 4

20% = 0.20

of means multiplication so

0.2 * x = 4

x = 4 / 0.2 = 40 /2 =20

Answer:

d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Step-by-step explanation:

Step(i):-

Given   [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]

we will use formula

  [tex](a)^{m n} = (a^{m} )^{n}[/tex]

[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]

              = [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]

             = [tex]( (10)^{\frac{3 x}{8} } )[/tex]

            = [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]

Step(ii):-

  we will  apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]

           = [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Answer:

É necessário dividir por 3 para calcular a média simples das 3 notas.

Média = 7.

Step-by-step explanation:

O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:

[tex]M=\frac{5,0+6,5+9,5}{3}\\ M=7[/tex]

Answer:

(x)1.4=Y

Step-by-step explanation:

40% increase of memeber so ita 140% of X

Answer:

t12= -8

Step-by-step explanation:

t3

a+2d=10 (1)

t10

a+9d=-4. (2)

From (1)

a=10-2d. (3)

Sub into (3) into equ (2)

a+9d=-4

10-2d+9d=-4

10+7d=-4

7d=-4-10

7d=-14

Divide both sides by 7

d=-14/7

d= -2

10=a+2d

10=a+2(-2)

10=a-4

10+4=a

14=a

a=14

t12=a+11d

= 14+11(-2)

=14-22

= -8

t12= -8

Answer:

The Value of 9a+6b is 27. and the value of 4x+3y is 30.

Explanation

1)

3a+2b=9

multiplying both by side by 3

or, 3×( 3a+2b)=3×9

Hence, 9a+6b=27

2)

8x+6y=60

Dividing both by side by 2

or, (8x+6y)/2 = 60/2

Hence, 4x+3y=30

Answer:

Since the figures are congruent, their areas must also be congruent so the answer is 28.

Answer:

40cm

Step-by-step explanation:

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

10000=25x10xHeight

10000=250H. (divide both side by 250 to remain with H only)

10000/250=250H/250

40cm=Height

Answer:

it is the last one

Step-by-step explanation:

Since a function is  based on a set of ordered pairs, where the first element in each pair is from the domain and the second is from the codomain. Also A function is a mapping from a set of inputs (the domain) to a set of possible outputs (the codomain).

The last one doesn't show the correct inputs and outputs

The right answer is of:

option C

please see the attached picture....

Hope it helps.....

Good luck on your assignment.....

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

[tex]-x+3x=2x[/tex]

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]

Answer:

Step-by-step explanation:

This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.

Given data

2 purple lipsticks,

3 red lipsticks and

3 pink lipsticks

The sample space s=(2,3,3)

The sample size= 8

1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]

2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]

probability of taking out a purple lipstick followed by the red lipstick is

[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]

Answer:

Step-by-step explanation:

If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE

Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;

[tex]24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6[/tex]

Since CE = 5x, CE = 5(6) = 30

The measure of segment CE is 30

Answer:

I believe D

Step-by-step explanation:

If you multiplied -3 times 3 that would make -9

you can then add 9 + -9 and cross y off

Answer:

250 minutes with the flat rate of $29.

[tex]x\leq 250[/tex]

x would be the number of minutes called.

[tex]x-250[/tex]

Tracy would be charged by $0.35 per minute.

[tex]f(x)=29\\ 0\leq x\leq 250[/tex]

[tex]f(x)=0.35(x-250)+29,\\250\leq x\leq ∞[/tex]

Answer:

x-3

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x + 1

(f-g)(x) = 3x-2 - (2x+1)

Distribute the minus sign

          =3x-2-2x-1

Combine like terms

        = 3x-2x-2-1

        =x-3

Answer:

Step-by-step explanation:

[tex]\sqrt{x} Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\sqrt{(5-3)^{2}+(6-k)^{2}}=2\sqrt{2}\\\\\sqrt{(2)^{2}+[(6)^{2}-(2*6*k)+(k)^{2}]}=2\sqrt{2}\\\\\sqrt{4+[36-12k+k^{2}]}=2\sqrt{2}\\\\\sqrt{40-12k+k^{2}}=2\sqrt{2}\\[/tex]

Take square both side

[tex]40-12k+k^{2}=(2\sqrt{2})^{2}\\\\40-12k+k^{2}=4*2\\\\40-12k+k^{2}=8\\\\k^{2}-12k+40-8=0\\\\k^{2}-12k+32=0\\[/tex]

Factorize,

Sum = -12

Product = 32

Factors = -8 , -4

k² - 8k - 4k + (-8)*(-4) = 0

k(k - 8) - 4(k - 8) = 0

(k - 8)(k - 4) = 0

k = 8 or 4

The points are (3,k) and (5,6).

Given, distance = 2√2 units

Applying distance formula,

Distance = √(x2-x1)^2 + (y2-y1)^2

2√2 = √(x2-x1)^2 + (y2-y1)^2

Squaring both sides,

(2√2)^2 = [√(x2-x1)^2 + (y2-y1)^2]^2

8 = (x2-x1)^2 + (y2-y1)^2

8 = (5-3)^2 + (6-k)^2

8 = 2^2 + (6^2 - 2x6xk + k^2)

8 = 4 + 36 - 12k + k^2

8 = 40 - 12k + k^2

= k^2 - 12k + 32 = 0

On factorising,

=> k^2 - 4k - 8k + 32 = 0

=> k(k-4) -8(k-4) = 0

=> (k-4)(k-8) = 0

=> k-4 = 0 , k-8 = 0

=> k = 4 , k = 8

Answer:

Step-by-step explanation:

Men to women ratio = 21 : 28 or 3 : 4

The men to women ratio is 3 : 4

Total people = 21 + 28 = 49 people

The ratio of women to total number of people is

28 : 49 or 4 : 7

The ratio between women to total number of people is 4 : 7

Answer:

40 pens

Step-by-step explanation:

Let the total number of pens Ron had be x.

We need to find the fraction of the pen that were blue.

3/8 of them were black and 1/4 of them were red. This means that the fraction of the pens that were blue is:

1 - (3/8 + 1/4) = 1 - 5/8 = 3/8

There were 15 blue pens. This means that 3/8 of x is 15:

3/8 * x = 15

x = 15 * 8/3 = 40 pens

Ron had 40 pens.

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

Answer:

I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.

Let's say that the volume of a figure was 124.86 cubic inches.

Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.

Locate the 'ones' place:

124.86

Check next door:

124.86

If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.

8 is greater then 5. Therefore, we would round up.

So, 124.86 cubic inches to the nearest cubic inch is 125 in³.

124.86in³ ≈ 125in³

Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons

hope it helps..

Answer:

see below

Step-by-step explanation:

do long division

for example 42/8 = 5 2/8 =5 1/4 =5.25

Answer:  -7/9

Step-by-step explanation:

10-3

1-10

The slope of the line is - 7/9

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

0

Step-by-step explanation:

The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.

The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.

Answer:

[tex]Mean = 9.3[/tex]

Step-by-step explanation:

Given

Let accidents reported be represented by x and the frequency be represented by f

x -----   f

0-5 --   9

6-10 --  10

11-15 --   6

16-20 -- 6

Required

Calculate the Mean;

To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;

When x = 0 - 5

Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5

When x = 6 - 10

Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8

When x = 11 - 15

Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13

When x = 16 - 20

Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.

So, the new table is as follows;

x ------- f

2.5 ----  9

8 -----  10

13 ------ 6

18 ------ 6

Mean is calculated by ∑fx/∑f

Where ∑fx represent sum of the product of f and x

∑f represent sum of frequency

∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6

∑fx = 288.5

∑f = 9 + 10 + 6 + 6

∑f = 31

So,

[tex]Mean =\frac{288.5}{31}[/tex]

[tex]Mean = 9.3064516129[/tex]

[tex]Mean = 9.3 (Approximated)[/tex]

Hence, the mean of road accidents in December is 9.3

Answer:

a=1 and b=13

do you need the working out?

Answer:

see below

Step-by-step explanation:

g(x) = sqrt(x+3)

g(-6) = sqrt(-6+3) = sqrt(-3)  not a real number not in domain

g(-3) = sqrt(-3+3) = sqrt(0)  0  in domain

g(3) = sqrt(3+3) = sqrt(6)    in domain