The owner of a rental company rents bicycles and tricycles and keeps inventory by counting seats and wheels. One day, he counts 25 seats and 60 wheels. The equation representing the total number of seats is b + t = 25, where b is the number of bicycles and t is the number of tricycles. Which equation represents the number of wheels?

Answer:

[tex]\large \boxed{\text{60 s}}[/tex]

Step-by-step explanation:

Assume your graph looks like the one below.

1. Calculate the equation of the straight line

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (0,2600) and (30, 2300)

(a) Calculate the slope of the line

[tex]\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{2300 - 2600}{30 - 0}\\\\& = & \dfrac{-300}{30}\\\\& = & \text{-10 ft/s}\\\\\end{array}[/tex]

(b) Locate the y-intercept

The y-intercept is at 2600 ft

(c) Write the equation for the line

h = -10t + 2600

(d) Calculate the time to 2000 ft

[tex]\begin{array}{rcl}h & = & -10t + 2600\\2000 & = & -10t + 2600\\-600 & = & -10t\\t & = & \dfrac{-600}{-10}\\\\& = & \text{60 s}\\\end{array}\\[/tex]

Shelley will be at 2000 ft 60 s after opening the parachute.

Let the given line pass through the point that is [tex]\bold{(0,2600)\ \ and\ \ (20, 2400)}[/tex]

[tex]\therefore[/tex]

[tex]\to \bold{\frac{H-2400}{t-20}} \bold{= \frac{2600-2400}{0-20}}\\\\[/tex]

                [tex]\bold{=\frac{200}{-20} }\\\\ \bold{= -\frac{200}{20}}\\\\ \bold{= - 10}\\\\[/tex]

[tex]\to \bold{H-2400=-10t+200}\\\\\to \bold{H+10t=2400+200}\\\\\to \bold{H+10t=2600}\\\\\to \bold{H=2600-10t}\\\\[/tex]

Let

time (t) in second

Height (h) in feet

for [tex]\bold{\ H=2000\ feet\\}[/tex]

[tex]\to \bold{2000=2600-10t}\\\\\to \bold{10t = 2600- 2000}\\\\\to \bold{10t = 600}\\\\\to \bold{t=\frac{600}{10}}\\\\\to \bold{t= 60\ second}\\\\[/tex]

Learn more:

brainly.com/question/3012638

Answer: it will take 9 hours.

Step-by-step explanation:

The rate at which the height of each snowman decreased is linear. This means that it was decreasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference

n represents the number of terms(hours)

Considering snowman A,

Tn = A(t)

n = t

a = 60 inches

d = - 5 inches(since it is decreasing)

Therefore,

A(t) = 60 + (t - 1)-5

A(t) = 60 - 5t + 5

A(t) = 65 - 5t

Considering snowman B,

Tn = B(t)

n = t

a = 44 inches

d = - 3 inches(since it is decreasing)

Therefore,

B(t) = 44 + (t - 1)-3

B(t) = 44 - 3t + 3

B(t) = 47 - 3t

For both snowmen to have an equal height, it means that

65 - 5t = 47 - 3t

- 5t + 3t = 47 - 65

- 2t = - 18

t = - 18/- 2

t = 9 hours

Answer:

8.4

Step-by-step explanation:

Answer:

7 school buses will be needed to take the children of Anderson school on a field trip

Step-by-step explanation:

number of children = 390

We are told that each bus carries 60 people

Therefore

60 people = 1 bus

1 person = (1 ÷ 60)

∴ 390 people = [tex]\frac{1}{60}[/tex] × [tex]\frac{390}{1}[/tex] = [tex]\frac{390}{60}[/tex] =  6.5 (approx. 7 buses)

Therefore, 7 school buses will be needed to take the children of Anderson school on a field trip, but the seventh bus will be half-filled with children.

Answer:

60 fluid ounces

Mark my as brainliest please

Answer:

q = 9

Step-by-step explanation:

Make a ratio equation:

36 : 54 = 6 : q

[tex]\frac{2}{3} =\frac{6}{q}[/tex]

2q = 18

q = 9

Answer:

q = 9

Step-by-step explanation:

These shapes are similar, so set up a proportion like so:

[tex]\frac{54}{36} =\frac{9}{q}[/tex]

→Cross multiply:

[tex]\frac{324}{36q}[/tex]

→Divide 324 by 36:

q = 9

Answer:

question wrong

Step-by-step explanation:

2 same angles

[tex]\frac{13+5}{z} = \frac{z}{5} \\\\z^{2} = 5 * 18\\z^{2} = 90\\z = \sqrt{90} = 9,4[/tex]

Answer:

There is no graph to find an inequality on...

Step-by-step explanation:

Answer:

The expected number of people that lives in rural areas and is in favor of continuing using daylight savings time is 287.

Step-by-step explanation:

Hello!

There were 1285 residents from rural and urban areas surveyed about their opinion about using savings time. There are two variables of interest:

X₁: Area where the resident lives, categorized: "Rural area", "Urban area".

X₂: Opinion about using daylight savings time, categorized: "Stop", "Continue".

To know how many people who live in a rural area would you expect to be in favor of continuing to use daylight savings time, you have to calculate the expected frequency for that cell (See table in attachment)

The formula to calculate the expected frequencies is:

[tex]E_{ij}= \frac{O_{i.}*O_{.j}}{n}[/tex]

i: categories in rows i=1, 2

j: categories in columns j= 1, 2

Oi.: total observations for the i-row

O.j: total observations for the j-row

The category "rural" is in the first row, so its marginal is symbolized O₁.

The category "Continue" is in the second column, so its marginal is symbolized O.₂

The expected frequency for the people that live n rural areas and is in favor of continuing using daylight savings time is:

[tex]E_{12}= \frac{O_{1.}*O.2}{n}= \frac{622*591}{1285} = 286.07= 287[/tex]

I hope this helps!

Answer:

25

Step-by-step explanation:

Answer:

  32x^3

Step-by-step explanation:

  [tex](2x+1)^4=(2x)^4+4(2x)^3(1)+6(2x)^2(1)^2+4(2x)(1)^3+(1)^4\\\\=16x^4 +\boxed{32x^3} +24x^2+8x+1[/tex]

_____

Comment on the question

It is helpful if you designate exponents with a caret (^). We expect the expanded form of (2x+1)4 to be 8x+4. (2x+1)^4 is entirely different. Similarly, 8x3 = 24x, whereas 8x^3 is something else.

32x^3

It is helpful if you designate exponents with a caret (^). We expect the expanded form of (2x+1)4 to be 8x+4. (2x+1)^4 is entirely different. Similarly, 8x3 = 24x, is the answer to the question

To find the unit price we need to all price divide by number of gallons, so

[tex]17.70\div5=3.54[/tex]

Answer: The unit price is $3.54

Answer:

Unit price = 3.54$

Step-by-step explanation:

By using criss-cross method:

5 gallons -> $17.70

1 gallon -> ?

Unit price = 1x17.70 / 5 = 3.54$

Hope this helps..

Answer:

146,736

Step-by-step explanation:

6114 divided by 24 is 146,736

Using only the trig ratios of 45 and 60 degrees, we use angle-sum to compute [tex]\tan 105^\circ=\tan(60^\circ+45^\circ)=\frac{\tan 60^\circ+\tan 45^\circ}{1-\tan 60^\circ\tan 45^\circ}=\frac{\sqrt{3}+1}{1-\sqrt{3}}=-2-\sqrt{3},[/tex] so [tex]\cot 105^\circ=\frac{1}{\tan 105^\circ}=-2+\sqrt{3}[/tex] and [tex]\tan 105^\circ-\cot105^\circ=\boxed{-2\sqrt{3}}.[/tex]

Answer:

(r-s)/(r+s)

Step-by-step explanation:

Factor out the 5

Answer:

B and C

Step-by-step explanation:

AP = BP

OC = OD

Answer:

The sum of the numbers in each circle is 17

Step-by-step explanation:

The numbers to choose from are:

2, 3, 5, 7

By this alone the biggest number must be in the overlap of the three circles.

Then just fill in the numbers in such a way that they all are used.

The sum of the numbers in each circle is 17.

See picture for a solution.

Answer:

Option C) is correct

Step-by-step explanation:

Given: Endpoints of the diameter of the circle are A(-1, -2) and B(3,10)

To find: slope of the tangent drawn to the circle at point B

Solution:

Let [tex](x_1,y_1)=(-1,-2)\,,\,(x_2,y_2)=(3,10)[/tex]

Centre of the circle = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{-1+3}{2},\frac{-2+10}{2})=(1,4)[/tex]

Let [tex](h,k)=(1,4)[/tex]

Distance formula states that distance between points (a,b) and (c,d) is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Radius of the circle = Distance between points [tex](-1,-2)[/tex] and [tex](1,4)[/tex] = [tex]\sqrt{(1+1)^2+(4+2)^2}=\sqrt{4+36}=\sqrt{40}[/tex] units

Let r = [tex]\sqrt{40}[/tex] units

Equation of a circle is given by [tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-1)^2+(y-4)^2=\left ( \sqrt{40} \right )^2\\(x-1)^2+(y-4)^2=40[/tex]

Differentiate with respect to x

[tex]2(x-1)+2(y-4)\frac{\mathrm{d} y}{\mathrm{d} x}=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{1-x}{y-4}[/tex]

Put [tex](x,y)=(3,10)[/tex]

[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{1-3}{10-4}=\frac{-2}{6}=\frac{-1}{3}[/tex]

So,

slope of the tangent drawn to this circle at point B = [tex]\frac{-1}{3}[/tex]

Answer:

Step-by-step explanation:

Since x is a binomial random variable that counts the number of adults with at least a bachelor's degree, it means that there are only two outcome. It is either an adult has a bachelor's degree or not. The probability of success would be that the adult has a bachelor's degree. Therefore, probability of success, p = 20/100 = 0.2

Number of adults in the sample is 100

The number of success expected is x

We want to determine the probability of P(x ≥ 60)

Therefore, the most efficient way to calculate the probability that more than 60 adults have a bachelor's degree is

b. P(x<60)=binompdf(100.0.20.60)

This is because it is a discrete probability distribution function

Answer: use the app: photomath

Step-by-step explanation:

Answer:

(x+3)^2 + (y-4)^2 = 64

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2  where ( h-k) is the center and r is the radius

(x--3)^2 + (y-4)^2 = 8^2

(x+3)^2 + (y-4)^2 = 64

Answer:

a) 10

b) 0.1 = 10%

Step-by-step explanation:

The combinations formula is used to solve this question, since the horses are chosen without replacement.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

a. Use this information to determine the number of possible samples (without replacement) of size 2 that can be obtained from the population of size 5.

Combinations of 2 objects from a set of 5. So

[tex]C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]

b. If a simple random sampling procedure is to be employed, the chances that any particular sample will be the one selected are:________

In this procedure, the samples are all equally as likely to be chosen.

So

1/10 = 0.1 = 10%

Answer:

89

Step-by-step explanation:

2/3 times 267 is 178 after that you have to sub 178 from 267

Answer:

Length = 7

Width = 15

Step-by-step explanation:

L= x

W= x-8

2x+2(x-8)=44

Answer:

Step-by-step explanation:

"15 divided by 1/3" comes out to:

  15      15      3

------- = -----* ----- = 45

 1/3        1       1

Recall that to divide 15 by 1/3 we invert 1/3, obtaining 3, and then multiply 15 by 3.  The correct result is 45.

Multiplication equation B can be used to explain the solution to 15 divided by 1/3. Option 2 is correct.

Arithmetic is a branch of mathematics that studies numbers and the various operations that can be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.

The solution of the expression is;

[tex]x= \frac{15}{\frac{1}{3} } \\\\\ x= 15 \times 3\\\\ x=45[/tex]

The answer of the given equation resembles the option B. Multiplication equation B can be used to explain the solution to 15 divided by 1/3

Hence, option 2 is correct.

To learn more about the arithmetic operation, refer;

brainly.com/question/20595275

#SPJ2

Answer:

D

Step-by-step explanation:

JK = LM because they are equidistant from the centre and hence are equal in length

Answer:

0.9862

Step-by-step explanation:

Given: According to 70% of HR directors, business students should take a course in business ethics.

To find: the probability that at least one of a sample of 12 HR directors does not think it very important for business students to take a business ethics course

Solution:

Probability refers to chances of occurrence of an event.

According to 70% of HR directors, business students should take a course in business ethics.

Therefore,

Probability that at least one of a sample of 12 HR directors does not think it very important for business students to take a business ethics

= 1 - Probability that everyone of a sample of 12 HR directors think that it very important for business students to take a business ethics

= [tex]1-\left ( \frac{70}{100} \right )^{12}[/tex]

[tex]=1-\left ( \frac{7}{10} \right )^{12}[/tex]

[tex]=1-(0.7)^{12}\\=1-0.0138\\=0.9862[/tex]

Answer:

6 minutes

Step-by-step explanation:

Connor drives from the village to Belfast at an average speed of 40mph.

The distance covered is 20 miles.

Time = distance/ speed

Time = 20/40

Time = 0.5 hours

Time = 30 minutes.

Kelly drives from the village to Belfast at an average speed of 50mph.

Time = distance/speed

Time = 20/50

Time = 0.4 hours

Time = 24 minutes

It will take Conor 30 - 24 = 6 minutes longer than Kelly

Answer:

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.  

Step-by-step explanation:

Answer:

The answer is:

B. Both expression should be evaluated with one value if the final values of the expressions are the same then the two expressions must be equivalent