In a zoo there are zebras and orangutans.
Altogether there are 36 heads and 100 feet.
How many zebras are there?

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 50h + 30

We are given the following costs in the car detailing shop as follows;

Cost of Materials = $30

Cost per hour for labor = $50

Since the equation of a line in slope intercept form is; y = mx + c, then we can say that the equation here can also be expressed as;

C(h) = 30 + 50h

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 30 + 50h

Read more about Cost Function at; https://brainly.com/question/2292799

#SPJ1

Answer:

Step-by-step explanation:

5x+1/3(3x−6)=10

5x+1/3(3x−6)=10

5x+(1/3)(3x)+(1/3)(−6)=10                           (Distribute)

5x+x+−2=10

(5x+x)+(−2)=10                                          (Combine Like Terms)

6x+−2=10

6x−2=10

6x−2+2=10+2

6x=12

6x/6=12/6

x=2

The values of θ, i.e. the general solution of the given trigonometric equation that satisfy the given equation are: 5π/12, π/12.

The general solution of a trigonometric equation is a formula employing the integer n that provides all solutions.

Given:

TO find: Values of θ.

Finding:

In the given equation: 2 cos( 4θ) - 1 = 0,

=> cos (4θ) = 1/2

=> cos (4θ) = cos (π/3)

=> 4θ = 2nπ ± π/3

=> θ = nπ/2 ± π/12

For n = 0, θ = ± π/12

For n = 1, θ = π/2 ± π/12

Since θ ∈ [0, π/2],  the possible values of θ = π/12, π/2 - π/12 = 5π/12.

Hence, The values of θ that satisfy the given equation are: 5π/12, π/12.

To learn more about general solution of trigonometric equations, refer to the link: https://brainly.com/question/24349828

#SPJ4

The coordinates of point Z is (-5/7, 16/7)

The formula for calculating a coordinate points using the points (-5, -2) and point P is located at (1, 4) in the ratio 2:5 is expressed as:

Z (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}

Substitute the coordinates and ratios to have;

Z (x, y) = {(2(-5)+5(1))/2+5, (2(-2)+5(4))/2+5}

Z(x, y) = {-10+5/7, -4+20/7}

Z(x, y) = (-5/7, 16/7)

Hence the coordinates of point Z is (-5/7, 16/7)

Learn more on midpoint here; https://brainly.com/question/5566419

#SPJ1

Answer: 0.69

Step-by-step explanation:

1.242 ÷ 1.8=

1.242/1.8=0.69

Answer:

0,5(3x+12+8x)

0,5(11x+12)

5,5x+6

Answer:

5.5x + 6

Step-by-step explanation:

0.5{3x + 4(3 + 2x)}

Apply the distributive property, multiply 4 by 3 and 4 by 2x.

0.5(3x + 12 + 8x)

Add 3x and 8x

0.5(11x + 12)

Apply the distribdistributive proproperty again and multiply 0.5 by 11x and 0.5 by 12.

The product would be 5.5x + 6.

Since both terms are perfect squares, factor using the difference of squares formula,

a2−b2=(a+b)(a−b) where a=y and b=3.

(y+3)(y−3)

For given number 100

the exponent form = 10²

the word form = One Hundred

For given question,

The area of a closet is 100 square feet.

We need to write the number in exponent form and word form.

First we write given number in exponent form

⇒ 100 = 10 × 10

⇒ 100 = 10²

So, the exponent form given number 100 is 10²

And the word form of given number is : One Hundred

Therefore, for given number 100

the exponent form = 10²

the word form = One Hundred

Learn more about the exponent form and word form here:

https://brainly.com/question/577797

#SPJ4

Answer:

20.36 is the answer

2.12x3=6.36

3.50x4=14

14+6.36=20.36

Answer:

20.36

Step-by-step explanation:

1)3*2.12=6.36

2)4*3.50=14

3)6.36+14=20.36

The answer choice which could represent the real-world description of 4x - 17 is; $17 less than the cost of 4 hot dog combos.

It follows from the task content that the real-world description of the expression; 4x -17 is to be identified.

On this note, if the cost of 1 hot dog is; x.

Hence, the cost of 4 hot dogs is; 4x.

Ultimately, the given expression represents; $17 less than the cost of 4 hot dog combos.

Read more on real-world description;

https://brainly.com/question/13172742

#SPJ1

Answer: C

Step-by-step explanation:

Answer:

260 m2

Step-by-step explanation:

When combining the like terms of 8+3a+7b-5+2a-7b, the result will be 5a+3

Given,

The expression =8+3a+7b-5+2a-7b

Rearrange the terms alphabetical order and combine the like terms

8+3a+7b-5+2a-7b =3a+2a+7b-7b+8-5

=(3+2)a+(7-7)b+(8-5)

=5a+0b+3

=5a+3

Hence, When combining the like terms of 8+3a+7b-5+2a-7b, the result will be 5a+3

Lear more about like terms here

brainly.com/question/17599464

#SPJ4

The two numbers by setting up a linear equation are 32 and 56 respectively

A linear equation is an equation that has a linear degree of 1. Let the 2 unknown number be x and y

If the sum of two numbers is 88, then;

x + y = 88

If one number is 4 more than half the other number, then

x = 1/2y + 4

Substitute equation 2 into 1

x + y = 88

(1/2y+4) + y = 88

1/2y+y + 4 -88 = 0

3/2y - 84 = 0

3/2y. = 84

3y = 2(84)

3y = 168

y = 56

Determine the value of x

x =88 - 56

x = 32

Hence the two numbers by setting up a linear equation are 32 and 56 respectively

Learn more on linear function here: https://brainly.com/question/15602982

#SPJ1

Answer:

4/8 and 3/6 are equivalent because they both equal 1/2.

Answer:

4/8 and 3/6

Step-by-step explanation:

The value of x is 20°

According to the question we have been given two parallel lines which is cut by a transversal line. There are total 8 angles and given is the measure of

∠4 = 5x + 35° and ∠7 = 45°.

We need to find the value of x.

Note that when two parallel lines are cut by a transversal then

i) corresponding angles are equal that is

                ∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, and ∠4 = ∠8

ii) alternate interior angles are equal that is

                 ∠3 = ∠6, and ∠4 = ∠5

iii) alternate exterior angles are equal that is

                ∠1 = ∠8, and ∠2 = ∠7

iv) Consecutive interior angle sum is 180°

          ∠4 + ∠6 = 180°, and ∠3 + ∠5 = 180°.

Now using these rules we will solve this problem

Because of corresponding angles ,  ∠3 = ∠7 = 45°

Also ∠3 and ∠8 make a linear pair and sum of linear pair is 180°.

Therefore ,  ∠3 + ∠8 = 180°

                   45° + 5x + 35° = 180°

                     5x = 180° - 80°

                      x = 20°

Hence the value of x is 20°

Learn more about angles here : brainly.com/question/26167358

#SPJ9

Answer:

Step-by-step explanation:

So, basically, the slope intercept form is y = mx + b

m is rise over run x is well x and b is where the original y is.

So 2x-3 is up two over one

And 1x-1 is up one over one

And take for example 2/3x + 5

That would be up two over three

The probability of at least one person being vaccinated out of four people chosen at random is 0.30, or 30%, rounded to the nearest hundredths.

To find the probability that at least one of them has been vaccinated:

We use P(1) for only one person; the same reasoning should apply to other subscripts.

Adding all these probabilities given 0.3042802.

As a result, the probability of at least one person being vaccinated out of four people chosen at random is 0.30, or 30%, rounded to the nearest hundredths.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

Answer: 15 burgers

Step-by-step explanation:

7.74/6=$1.29 per burger

$19.35* 1 burger/$1.29=

19.35*1/1.29=

19.35/1.29=15 burgers

The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

Please find attached the complete question. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

Step-by-step explanation:

The square root of an integer is either an irrational number or an integer. The latter is the case if and only if there is an integer which, when multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. All square roots except perfect squares are irrational numbers. 3 is not a perfect square.

The number of players randomly selected is 381 and the standard deviation is 1.96.

The standard deviation is a measurement of how much a group of values varies or is dispersed. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection. The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

[tex]Z(\alpha /2)=1.96[/tex]

Sample size = n = [tex][Z(\alpha /2 * \sigma/E) ]^{2}[/tex]

n = [1.96 * 3.0 / 0.95]²

n = 381.85

n ≈ 381

To learn more about Standard deviation, visit:

https://brainly.com/question/12402189

#SPJ4

Answer: C. 5/7

CALCULATOR

Answer:

Last option

Step-by-step explanation:

→ Find the sum for how much he spent

[tex]\frac{2}{3} +\frac{1}{4} =\frac{11}{12}[/tex]

Answer:

C

Step-by-step explanation:

The probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.

Probability of an event E denoted by P(E) is defined as (number of favorable outcomes )/( total number of outcomes).

For example : the probability of getting Head in  single toss of an unbiased coin.  P(H)=1/2.

According to the given question

Total number of cards in a standard deck of cards is 52.

There are 4 suit in a deck each having 13 card each.

number of 8 card in a deck = 4

Number of hearts in a deck = 13-1=12      (-1 because 8 of heart is counted before.)

number of favorable cases of getting  either an 8 or a heart is 4+12=16.

The probability of getting either an 8 or a heart is [tex]\frac{16}{52} =\frac{4}{13}[/tex].

Therefore , the probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.

Learn more about Probability here https://brainly.com/question/27856549

#SPJ4

Answer:

Step-by-step explanation:

jlfhwfhwfh

Answer:

6.3 hours

Step-by-step explanation:

0, 1, 2, 4, 5, and 7.

So that would be 6 digits.

In mathematics, the only single symbol used to represent a number is a digit. For instance, there are two digits in the numbers 89: 8 and 9. As a result, in everyday life, digits like 0, 1, 2, 3, 4, 5, 6, 7, 8, and 0 are employed to represent groups of numbers and perform mathematical operations. A positional numeral system uses a single sign, such as "2," or a set of symbols, such as "25," to represent numbers. The word "digit" derives from the fact that the ten fingers of the hands, or digit in Latin, corresponding to the ten symbols of the decimal system, which uses the base-10 numeral system.

To learn more about digits form the given link:

https://brainly.com/question/15486304

#SPJ9

Answer:

LCD = 9

Step-by-step explanation:

1/3 = 3/9

3/9 =3/9

Applying the alternate exterior angles theorem, the value of x = 10.

According to the alternate exterior angles theorem, the following alternate interior angles are congruent to each other:

m<JPM = m<NQK

Given the following:

m<JPM = 125°

m<NQK = (13x - 5)°

Substitute

125 = 13x - 5

125 + 5 = 13x

130 = 13x

Divide both sides by 13

130/13 = 13x/13

10 = x

x = 10

Therefore, applying the alternate exterior angles theorem, the value of x = 10.

Learn more about the alternate exterior angles theorem on:

https://brainly.com/question/24839702

#SPJ1

The value of the expression otherwise termed it's simplified form as required that the expression be evaluated in the task content is; 15aw.

It follows from the task content that the expression which is as given in the task content be evaluated, and hence, expressed in its simplified form.

Given;

3a × 5w

Since, the constants can be multiplied and their product determined, it follows that we have;

(3 × 5) (a × w)

And ultimately, we have the value of the expression to be; 15aw.

Therefore, The value of the expression otherwise termed it's simplified form as required that the expression be evaluated in the task content is; 15aw.

Read more on product of terms;

https://brainly.com/question/25301924

#SPJ1