Colton has math and reading homework tonight. Colton can solve each math problem in 3 minutes and he can read each page in 1.5 minutes. The number of pages Colton read is twice the number of math problems he solved. and it took him 54 minutes to complete all of his homework. Determine the number of math problems Colton solved and the number of pages he read.

Step-by-step explanation:

4.

22+4x= 90

4x=90-22

4x=68

x°=17°

7.

(x-5)°+29°=180°

x-5+29=180

x= 180-24

x=156°

10.

(x+3)°+49°=90°

x= 90-52°

x=38°

Answer:

31

Step-by-step explanation:

[tex] {x}^{2} + y \\ = {5}^{2} + 6 \\ = 25 + 6 \\ = 31 [/tex]

Answer:

31

Step-by-step explanation:

25+6=31

Answer:

h=V/b

Step-by-step explanation:

The volume V can be represented as a function of height h by the equations V = lwh for a rectangular prism or V = πr²h for a cylinder. If other dimensions are constants, this can be simplified to V=k*h, where k represents the base area.

To represent the volume V as a function of the height h, we typically consider the volume of a rectangular or cylindrical shape. The volume V of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. If we consider a cylinder, the volume is given by the equation V = πr²h, where r is the radius of the base circle and h is the height. However, if we simplify this formula assuming only the height can vary and all other dimensions are constants, the function could be simplified to V=k*h, where k represents the area of the base.

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Answer:$1636.4

Step-by-step explanation:

Selling price(sp)=$1800

Profit%=10%

Cost price(cp)=?

Profit%=(sp-cp)/cp x 100

10=(1800-cp)/cp x 100

Cross product

10cp=100(1800-cp)

Open brackets

10cp=180000-100cp

Collect like terms

10cp+100cp=180000

110cp=180000

Divide both sides by 110

110cp/110 = 180000/110

cp=1636.4

Cost price is $1636.4

Answer: Cost Price = $1, 636.36

Step-by-step explanation:

Given from the question Selling price (SP)= $1800; Profit%= 10%= 10/100 = 0.1

Cost price(CP)= ??

Profit% is derived by the formula

=(SP-CP)/ CP x 100

0.1 = (1800 - CP)/CP x 100

Then we cross multiply

0.1 x 100 x CP = 1800 - CP

10 CP = 100(1800 - CP)

Open the bracket

10 CP=180000 - 100CP

Divide both sides by 10

CP = 180000 - 100CP/10

CP = 18000 - 10CP

Combine like terms

CP + 10CP = 18000

11CP = 18000

Divide both sides by 11

CP = 18000/11

CP = $1, 636.36

16% = 0.16 =  [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

Given,

16%

We need to find out the decimal and reduced fraction.

Decimal Fraction

16% = [tex]\frac{16}{100}[/tex] = 0.16

Reduced Fraction

16% = [tex]\frac{16}{100}[/tex] = [tex]\frac{4}{25}[/tex] [ Diving both by 4]

Answer:

0.16 as a decimal

4/25 as a reduced fraction

Step-by-step explanation:

16%

A percentage is an hundred. Hence, the percentage of any number is that number divided by 100.

16% will therefore be 16/100

To decimal form gives 0.16

To a reduced fraction, we have

16/100

Using 2 to reduce

8/50

Using 2 to reduce again

4/25

It can't be reduced with a common number again.

Answer:

The first error consists in the multiplication of f (x) = 100 * (1.25), the value she mentions is incorrect since it is 125.

It would be a 125% increase really.

In order for LaTanya's phrase to have no error she had to mention that it was a 25% increase over the original amount, in this way, the phrase would make sense and be valid.

Answer:

LaTanya confused growth factor with growth rate. The growth factor is 1.25. The growth rate is 25%.

Step-by-step explanation:

In the exponential growth model,

f(x)=a(1+r)x

a is the inital amount, r is the growth rate, and (1+r) is the growth factor. Hence, the growth factor of the given function is 1.25.

Answer:

x=3

y=35

Step-by-step explanation:

5x+20=-7x-16

-16+20=4

5x=-7x+4

5x+7x= 12x

12x=4

12/4=3

Answer: x =  -3 ; Y = 5

Step-by-step explanation:

Y=5x+20

Y=-7x-16

5x+20  = -7x-16

5x+ 7x = -16 - 20

12x = - 36

x = -36 / 12

x =  -3

Y=5x+20

Y = 5.(-3) + 20

Y = - 15+20

Y = 5

Answer:

32k13

Step-by-step explanation:

32k13 Multiply the number add the the exponent

To simplify the expression 4k9×8k3×k, combine the coefficients and add the exponents of the same variable k to get 32k13.

To simplify the expression 4k9×8k3×k, we can combine the coefficients and add the exponents of the same variable k.

4k9×8k3×k = (4×8)k(9+3+1) = 32k13

Therefore, the simplified expression is 32k13.

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The volume of the larger cone divided by the volume of the smaller cone is 25.

A cone is a three-dimensional object that is made up of a circular base and a vertex.

Volume of a cone = 1/3(πr²h)

Assumed dimensions of the smaller cone:

Volume = 1/3(π x 9 x 10) = 30π

Assumed dimensions of the larger cone:

Volume = 1/3(π x 225 x 10) = 750π

Ratio of the volumes = 750π / 30π = 25

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Answer:

A, 25 is correct

Step-by-step explanation:

i got it right on edge 2023

Answer:

Is their a picture so we can see where to put it

Answer:

This will be your answer. Good luck! :)

Step-by-step explanation:

'Desmos Graphing Calculator' is extremely helpful to anyone who needs help in math involving functions and solving equations. Take the time to learn how it works and it'll be your best friend. Free, reliable, and saves time!

Answer:

u didnt give all the info

Step-by-step explanation:

Final answer:

Yes, a data set can have two modes, which occurs when two different values appear with equal and highest frequency, making the set bimodal.

Explanation:

Yes, there can be two modes in a data set. The mode is the most frequent value or values in a set of data. When a data set has exactly two modes, it is called bimodal. This phenomenon occurs when two different numbers appear with equal frequency and more often than any other numbers in a set. For example, in the data set 2,5,6,7,9,9,11,11,12,13, both 9 and 11 appear twice and more frequently than any other values, making them both modes of the data set.

Answer: im not sure but a)15 B)24 c)zoo in a different city

Step-by-step explanation:

There are 15 reptiles in the zoo. To keep the ratio 4:3, if the zoo adds 12 more mammals, they will need to add 9 more reptiles. The first zoo has a larger ratio of mammals to reptiles (4:3) compared to the second zoo (6:5).

To answer the question, let's solve each part step by step:

Answer: 38.45

Step-by-step explanation:

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=21.98 \end{cases}\implies 21.98=2\pi r\implies \cfrac{21.98}{2\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \boxed{\cfrac{21.98}{2\pi }} \right)^2\implies A=\cfrac{21.98^2}{2^2\pi }\implies A\approx 38.445[/tex]

Answer: x = - 19

y = 55

Step-by-step explanation:

y = - 3x - 2 (1)

5x + 2y = 15 (2)

substitute y = - 3x - 2 into equation (2)

equation (2) becomes

5x + 2 (-3x - 2) = 15

5x + ( - 6x - 4) = 15

opening the bracket

5x - 6x - 4 = 15

collecting like terms

5x - 6x = 15 + 4

-x = 19

x = - 19

substituting x = - 19 into equation 1

y = - 3x - 2

y = - 3 (-19) - 2

y = 57- 2

y = 55

Answer:

x= 19/11

y=35/11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function f(x)=6+x

F(x) is dependent on x,

When x=1

f(x)=6+x

f(x)=6+1,

f(x)=7

When x=2

f(x)=6+x

f(x)=6+2

f(x)=8.

This will continue like this till we get to x=15

So when x=15

We will substitute x=15 into the function f(x)

f(x)=6+x

f(x)=6+15

f(x)=21

Then, the answer is 21.

Answer: 17

Step-by-step explanation:

To solve 6+x when x = 15,

Step 1: Substitute 15 into x

Step 2: Sum 6 and 15

6+15= 17.

Answer:

27 - 8 = 19

The answer is 19.

Step-by-step explanation:

Answer:

51 inches

Step-by-step explanation:

area = base x height

8.5 x 6 = 51

51 inches

Answer:

see explanation

Step-by-step explanation:

Using x = 5, then

x² = 5² = 5 × 5 = 25

[tex]1^{5}[/tex] = 1 × 1 × 1 × 1 × 1 = 1

[tex]5^{1}[/tex] = 5

Answer:

[tex]\bold{\frac{(cosx-sinx)}{(sinx)}}=\bold{\frac{cosx-sinx}{sinx}}[/tex]

Step-by-step explanation:

[tex]\frac{cos^2x-sin^2x}{sin^2x+sinxcosx}=cotx-1[/tex]

We're going to start by manipulating the left side of the equation and making it the same form as [tex]cotx-1[/tex].

Start by applying the difference of two squares formula to the numerator, like so:

Now simplify the denominator by expanding the [tex]sin^2x[/tex].

The denominator can even be further simplified since both addends (when added together = a sum) have the common factor of [tex]sinx[/tex]. Factor it out.

Cancel out the common factor [tex](cosx+sinx)[/tex].

Since this is the furthest simplified that the left side can be manipulated, let's see if can try to manipulate the right side to also look like [tex]\frac{(cosx-sinx)}{(sinx)}[/tex].

Start by expressing [tex]cotx-1[/tex] with [tex]sinx[/tex] and [tex]cosx[/tex], since we know that cotangent is simply [tex]\frac{x}{y} \rightarrow\frac{cosx}{sinx}[/tex].

We can simplify this expression to look like our expression we found by manipulating the left side [tex](\frac{(cosx-sinx)}{(sinx)})[/tex] by making the 1 have a common denominator of [tex]sinx[/tex].

To do this, multiply 1 by [tex]\frac{sinx}{sinx}[/tex]. Now the expression should look like:

Since they have a common denominator we can write the expression under one fraction, like so:

This looks exactly the same as what we manipulated the left side to be [tex](\frac{(cosx-sinx)}{(sinx)})[/tex], just without parentheses. I put both expressions in bold. Therefore, this identity proves to be true as we just proved it.

Answer:

Option A, 12

Step-by-step explanation:

Step 1:  Add 5 to both sides

-5 + w/3 + 5 = -1 + 5

w / 3 = 4

Step 2:  Multiply both sides by 3

w/3 * 3 = 4 * 3

w = 12

Answer:  Option A, 12

Solution:

Given that,

We have to find the multiplicative inverse of [tex]9^3[/tex]

By multiplicative inverse,

The product of a number and its multiplicative inverse is 1

Given number is: [tex]9^3[/tex]

Let "x" be the required multiplicative inverse

Therefore,

[tex]9^3 \times \text{ multiplicative inverse of } 9^3 = 1[/tex]

[tex]9^3 \times x = 1\\\\x = \frac{1}{9^3}[/tex]

Thus the multiplicative inverse of [tex]9^3[/tex] is [tex]\frac{1}{9^3}[/tex]

The question refers to numerical approximation methods used for integration: the Trapezoidal, Midpoint, and Simpson's Rules. Answers for specific n-values and error calculations require a calculator or programming tool and are not provided here. The processes, however, involve application of respective formulae and comparison of approximations against the desired accuracy level.

Solution:

The question is related to approximating the value of an integral using numerical methods, specifically using the Trapezoidal Rule (Tn), Midpoint Rule (Mn), and Simpson's Rule (Sn). Additionally, it asks about the corresponding estimation errors which are defined as differences between the true integral value and the approximations.

Part (a)

To find T10, M10, and S10 for ∫₀π (21 sin x) dx, we would use respective formulae. Unfortunately, without a calculator or computational tool, it's not practical to perform these calculations here in this answer.

Part (b)

The actual errors ET, EM, and ES compare to the theoretical error bounds given by the respective theorems for each rule. Again, without the approximated values from part (a), we cannot calculate these errors.

Part (c)

Choosing n so that the approximations are accurate to within 0.00001 is a trial and error process where you start with n and continue to increase it until the approximation is within the desired accuracy. This typically requires use of a computational tool or programming.

Please note, these answers can vary depending on the specific constants and functions used in the integration.

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Answer:

37 (i think)

Step-by-step explanation:the probability means the amount of (in this case) the cherry gum or watermelon gum. Add the amount and then subtract the total from the WHOLE number of the WHOLE of the group

(hopefully that made sense)

Answer:

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Given Data:

a = 7+3+7 =17 units

b = 3  units

h = 8  units

To Find Out:

Area of trapezoid = ?

Formula:

[tex]A = \frac{a+b}{2}h[/tex]

Solution:

[tex]A = \frac{a+b}{2}*h[/tex]

[tex]A = \frac{17+3}{2}*8[/tex]

[tex]A = \frac{20}{2}*8[/tex]

[tex]A =10*8[/tex]

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Triangle with side lengths 30, 40, and 50 is a right triangle.

To classify the triangle based on the lengths of its sides, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the given lengths of sides:

[tex]\(a = 30\)[/tex]

[tex]\(b = 40\)[/tex]

[tex]\(c = 50\)[/tex]

We can check if the triangle is a right triangle:

[tex]\[c^2 = a^2 + b^2\][/tex]

Substituting the values:

[tex]\[50^2 = 30^2 + 40^2\][/tex]

[tex]\[2500 = 900 + 1600\][/tex]

[tex]\[2500 = 2500\][/tex]

Since [tex]\(2500 = 2500\)[/tex], the Pythagorean theorem holds true, meaning this triangle is a right triangle.

So, the given triangle with side lengths 30, 40, and 50 is a right triangle.

Answer:I think its C

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Answer:

11.GBJ JBD  12.AD GE  13.GBC GBA  14.FCD JBE (is obtuse)

Step-by-step explanation:

Answer:

11.GBJ JBD  12.AD GE  13.GBC GBA  14.FCD JBE (is obtuse)

Step-by-step explanation:

Step-by-step explanation: