the trip took them 110 minutes to finish. What time did the church group arrive at the forest?

**Answer:**

11l:50

**Step-by-step explanation:**

110 min = 1 hour and 50 minutes

Tammy’s take-home pay is $800 a month. She spends 7% on her take-home pay on her cell phone bill. How much is Tammy’s monthly cell phone bill?

**Answer:744**

**Step-by-step explanation:**

800-7%=744

**Answer:**

$56

**Step-by-step explanation:**

Provide the name and classification and parent equation for each one.

e - cubic, y=x^3

f - cube rt function, y=3sqrtx

g - sqrt function, y=sqrtx

h - exponential, y=2^xx

f - cube rt function, y=3sqrtx

g - sqrt function, y=sqrtx

h - exponential, y=2^xx

RUNNING Stella ran her first half marathon in 2.7 hours. By how many hours must Stella reduce her time to run her next half marathon in fewer than 2.3 hours? Enter an inequality to represent the situation.

**Answer:**

2.7 - h < 2.3

**Step-by-step explanation:**

You want an **inequality** to **represent** the relationship described by "Stella wants to know the **number of hours** (h) by which she must **reduce** her 2.7 hour **half-marathon time** to run in **under 2.3 hours**."

If h is the number of hours by which the time is reduced, Stella wants ...

** 2.7 -h < 2.3 **. . . . . . . . . representative inequality

__

*Additional comment*

The solution would be h > 0.4. Stella must reduce her time by more than 0.4 hours.

<95141404393>

The amount of gas that a helicopter uses is directly

proportional to the number of hours spent flying. The

helicopter flies for 2 hours and Uses 26 gallons of fuel.

Find the number of gallons of fuel that the helicopter uses

to fly for 5 hours.

**Answer:**

65

**Step-by-step explanation:**

2:26

1:x

26/2 = x = 13

The heli uses 13 gallons per hour.

5:y

13x5 = y = 65

Hope that helps

30. A certain test track for new car models is 6,720 meters long. If a car is currently of the way down

the track, how many more kilometers must it travel

to reach the end?

E. 2.24

F. 4.48

met

G. 6.72

H. 10.0

**Answer: E. 2.24**

**Step-by-step explanation:**

6720 - 6720 x 2/3

6720 - 4480

= 2,240

1 kilo = 1000 meters

2240 ÷ 1000

= 2.24

Members of a lacrosse team raised $2863.50 to go to a tournament. They rented a

bus for $1087.50 and budgeted $74 per player for meals. Which equation or tape

diagram could be used to represent the context if a represents the number of players

the team can bring to the tournament?

**Linear equations - **The team can bring its 24 players

**What do you mean by linear equations with one variable?**

A** linear equation **with one **variable **is one that can be written as ax+b = 0, where a and b are two integers, and x is a **variable**. This type of problem only has one solution. For instance, the **linear equation** 4x+4=8 only has one **variable**.

We are given that,

the total money raised by the lacrosse team is given to be $2863.50

bus rented at a cost of $1087.50

meal budget per person is calculated to be $74

let us assume the number of players the team can bring to the tournament to be "x".

bus rent + (meal budget * number of players) = total money raised

= 1087.50 + (74*x) = 2863.50

= 1087.50 + 74x = 2863.50

= 74x = 2863.50 - 1087.50

= 74x = 1776

= x = 1776 ÷ 74

= x = 24

Thus the team can bring its 24 players.

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ms. Torres has a box of scraps of wood. She measures the length of each scrap of wood to the nearest half inch results are represented on the line plot below.

The length of the **scraps of wood **when placed side by side is 53 inches.

A **line plot **is a graph that is made up of a **number line** and** check marks **above the numbers on th**e number line.** The check marks above the number line represents the frequency of the data. For example, there are two **checkmarks **above 7. This means that there are two **scraps **of **woods **that measure 7 inches.

In order to determine the approximate length of the **scraps of wood **if they are placed side by side,** add **the **length **of each **scrap **of wood together.

**Addition **is a mathematical operation that is used to determine the sum of two or more numbers. The sign that is used to denote **addition **is +.

[tex]5\frac{1}{2} + 6 + (6\frac{1}{2}. 3) + (7. 2) + 8[/tex] =

[tex]5\frac{1}{2} + 6 + 19\frac{1}{2} + 14 + 8[/tex] = 53 inches

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The birth weights ( to the nearest pound) of a sample of 27 newborn babies at a certain hospital are given in the following table, along with the number of babies at each birth weight. Find the mean birth weight of these 27 babies. Round your answer to at least on decimal point

Given

The table,

The sample size is 27.

To find:

The mean weight of these 27 babies.

Explanation:

It is given that,

That implies,

The mean weight of 27 babies is,

[tex]\begin{gathered} Mean=\frac{\sum_^x_if_i}{\sum_^f_i} \\ =\frac{4\times5+6\times10+7\times12}{5+10+12} \\ =\frac{20+60+84}{27} \\ =\frac{164}{27} \\ =6.07 \\ =6.1pounds \end{gathered}[/tex]**Hence, the mean weight of 27 babies is 6.1 pounds.**

John and Nelly are cleaning their house, Nelly takes 3 hours longer than John if she cleans alone, If they can do the cleaning together in 2 hours, how long can John clean all b yh himself

Answer: **3 hours**

Let john take **x hours **to finish the work

Let nelly take y hours to finish the work

given, y =x+3

Portion of work done by john alone in one hour = **1/x**

Portion of work done by Nelly alone in one hour = 1/y

∴Portion of work done by both john and nelly in one hour = 1/x + 1/y

[tex]= \frac{1}{x} + \frac{1}{x+3}\\=\frac{x+3+x}{x*(x+3)}\\=\frac{2x+3}{x^2+3x}[/tex]

Total time taken by John and nelly to finish the work = 2 hours

[tex]\therefore [2(2x+3)]/[x^2 + 3x] = 1\\= > 4x + 6 = x^2 + 3x\\= > x^2 -x -6 =0\\= > x^2 - 3x + 2x -6 =0\\= > x(x-3) + 2(x-3)=0\\= > (x+2)(x-3)=0[/tex]

Hence either x = -2 or x = 3

Since x is time taken, it cannot be negative, hence **x = 3 **

∴Time taken by john to finish the work = **3 hours**

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**Answer:**

In second week there is percentage limit (-ve sign) of 20% in people traveling examine to first week.

In 0.33 week there is proportion increase of 50% in human beings traveling compare to 2nd week.

In fourth week there is share limit of 75% in humans visiting evaluate to 1/3 week.

AThe formula for the circumference of a circle is C = 2tr. Find the circumference of acircle with a diameter of 4 ft.

Given the formula for the circumference of a circle:

C = 2πr

Let's find the circumference of a circle with a diameter of 4 ft.

Where r is the radius.

To find the radius, we have:

[tex]\text{radius}=\frac{\text{diameter}}{2}=\frac{4}{2}=2ft[/tex]The radius of the circle is 2 ft.

Take π = 3.14

Hence, to find the circumference of the circle, C, substitute 2 for r, 3.14 for π, and evaluate.

Thus, we have:

[tex]\begin{gathered} C=2\pi r \\ \\ C=2\ast3.14\ast2 \\ \\ C=12.56\text{ ft} \end{gathered}[/tex]**Therefore, the circumference of the circle is **** 12.56 ft **

**ANSWER:**

**C. 12.56 ft**

Find the values of the ratios

(red to blue) of the

perimeters and areas of the

similar figures. Write the

ratios as fractions in

simplest form.

5

8

The ratio of the perimeters is

The ratio of the areas is

**Answer:**

**Step-by-step explanation:**

You want the **ratios (red to blue)**, of **perimeter** and **area**, given that corresponding sides have the ratio red to blue = **5 to 8**.

The ratio of perimeters is the ratio of corresponding side lengths:

red to blue =** 5 / 8**

The ratio of areas is the square of the ratio of corresponding side lengths:

red to blue = (5 to 8)² = **25 / 64**

__

*Additional comment*

Ratios are customarily expressed in any of three equivalent forms:

5 to 85:85/8 "fraction" formis -48=48 have no solution or infinite solutions?

It is no solution because -48 does not equal 48

Mr. Jonas took out a loan of $12,400. The interest rate is 3% per year, and the interest is not compounded. How much amount will Mr. Jonas have to repay after 4 years?

Jonas have to repay $13888 **after 4 years.**

Given

Principle amount of loan (P) = $12,400

Rate of interest (R) = 3%

Time period (T) = 4 years

Also the interest is** not compounded**, hence it is** simple interest.**

The formula for **simple interest** is (PTR)/100

Where,

P = Principle amount

T = time period

R = rate of interest

By substituting the values in the **formula **we get,

Simple interest = (12400 x 4 x 3) / 100

Simple interest = 1488

Hence adding this interest to **Principle sum **we get

12400 + 1488 = 13888

**Jonas has to repay** $13888 after 4 years.

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Sally invests £8000 in a savings account.

The account pays 2.8% compound interest per year.

Work out the value of her investment after 4 years.

Give your answer to the nearest penny.

After four years, the **investment **is worth **£8934.34.**

The interest you earn on interest is known as **compound interest. **For instance, if you start with $100 and it generates 5% interest annually, you will conclude the first year with **$105 **in your account. You'll have $110.25 after the **second year **is over.

We employ the formula approach to determine the **entire amount,**

**A = P(1+r)^n**

The amount invested, or **principal(P), is £8,000.**

Interest rate r is** 2.8%, or 0.028.**

**n = 4 **years have passed.

Now, **immediately **enter these values into the formula, **A = P(1+r)n.**

**A = 8000 * (1 + 0.028) ^ 4**

= 8000 * 1.028 ^ 4

**= 8934.34**

Consequently, the **investment's value **after four years is** £8934.34.**

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-9- -8x2= -209 Solve this equation by taking square roots

The value of the **quadratic equation **given as -9- -8x^2= -209 is 5

**Quadratic equations** are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The **quadratic equation **is given as

-9- -8x^2= -209

Add 9 to all sides of the equation

So, we have

-8x^2= -200

Divide both sides of the **equation** by -8

x^2= 25

Take the square roots

x = 5

Hence, the **solution **of the **equation **is 5

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Lana’s Linoleum Luxuries makes rectangular kitchen tiles with an area of t square inches.

The **area** in square inches of the tile is 9 / 4 t .

She makes **rectangular** kitchen tiles with an area of t square inches.

Therefore,

**area** of the **rectangular **kitchen tiles = lw

t = lw

l = t / w

w = t / l

Therefore, the tile is 3 / 4 as long and 3 times wide as her kitchen tiles.

Hence,

**area** of the tile = 3 / 4 t / w × 3(t / l)

**area **of the tile = 9 / 4 × t² / lw

where

lw = t

Hence,

**area** of the tile = 9 / 4 × t² / t

**area** of the tile = 9 / 4 × t

Therefore,

**area** of the tile = 9 / 4 t

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Danny measured a house and its lot and made a scale drawing. The scale of the drawing was 1 inch : 5 feet. The houses driveway is 20 feet widein real life. How wide is the driveway in the drawing?

The width of the house driveway in the **scale drawing** is 4 inches.

**Scale drawing** is drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale).

Therefore, he measured a house and its lot and made a **scale drawing**.

The **scale** of the **drawing** was 1 inch : 5 feet.

The houses driveway is 20 feet wide in real life.

Therefore,

5 feet = 1 inch

20 feet = ?

cross multiply

Therefore,

width of the driveway on the **scale drawing** = 20 × 1 / 5

width of the driveway on the **scale drawing** = 20 / 5

width of the driveway on the **scale drawing** = 4 inches.

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Toby’s Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys.

Toby’s has a variable expense of $12.50 a piece for each toy they produce, and they

sell their toys for $16.50 a piece. How many tiny toys do they have to sell to reach

their breakeven point?

The number of tiny toys that Toby's Tiny Toys need to sell to reach its **break-even point** is 13,475.

The **break-even point **is the production and sales units that will ensure that Toby's Tiny Toys does not incur a **loss** or generate a **profit**.

At the **break-even point,** the total revenues are equal to the total costs (fixed and variable).

Selling price per unit = $16.50

Variable expenses per unit = $12.50

Contribution margin per unit = $4 ($16.50 - $12.50)

Fixed expenses = $53,900

**Break-even point** in units = Fixed costs/Contribution margin per unit

= 13,475 ($53,900/$4)

Thus, we can conclude that Toby’s Tiny Toys needs to sell 13,475 to **break even**.

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The **number **of Toby's tiny toys is 13,475 which needs to **sell **to reach its **break**-**even point**.

The overall **revenues **and entire **costs **are equal at the break-even point (fixed and variable).

The **production **and **sales **units that will verify that Toby's Tiny Toys does not suffer a **loss **or make a profit are the **break-even point.**

$16.50 is the selling price per unit.

**Variable costs **amount to $12.50 per unit.

The **contribution margin **= $16.50 - $12.50 = $4 per unit equals

Fixed costs is $53,900.

Break-even point = Fixed costs / Contribution margin

Break-even point = $53,900/$4

Apply **division** operation to get

Break-even point = 13,475

Thus, the **number **of Toby's tiny toys is 13,475 which needs to **sell **to reach its **break**-**even point**.

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What is the shaded area???

**Step-by-step explanation:**

[tex]area \: of \: circle = \pi\:r^{2} \\ \pi \times6.5^{2} - \pi \times {2.3}^{2} = 36.96\pi = 116.113... {cm}^{2} [/tex]

**Answer:**

116.129 cm²

**Step-by-step explanation:**

[tex]\boxed{\bf Area \ of \ circle = \pi r^2}[/tex]

**Area of outer circle:**

** ** R = 6.5 cm

Area =3.142 * 6.5 * 6.5

= 132.75 cm²

**Area of inner circle: **

** **r = 2.3 cm

Area of inner circle =3.142 * 2.3 *2.3

= 16.621 cm²

**Area of shaded area = area of outer circle - area of inner circle**

** =** 132.75 - 16.621

= 116.129 cm²

Simplify to a single power of 3:

3^{6}\cdot 3^{5}

3

6

⋅3

5 this isnt an abc choice you have to find the small number????

The **simplified form** of 3^6 . 3^5 to a single power of 3 is 3^11.

Given,

The** exponents;** 3^6 and 3^5.

We have to simplify this into a single power of 3.

In multiplication;

For exponents withThat is,

aᵇ . aⁿ = a^(b + n)

For exponents with different base, multiply the base and add the exponents.a^b . c^d = a x c ^ (b + d) = ac^bd

So,

3⁶ . 3⁵ = 3^(6 + 5) = 3¹¹

That is,

The **simplified form **of 3^6 . 3^5 to a single power of 3 is 3^11.

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-12/7 = 6w solve for w and simplify your answer as much as possible

-2/7 is the answer hope this helps

a rectangular plot of ground is 30 meters longer than it is wide. Its area is 20,000 square meters. which equation will help you find the detentions?

The equation of the **dimensions** of the **rectangular plot** is W² + 30W - 20,000 = 0

Let

L = length ofSince the **rectangular** **plot **of ground is 30 meters longer than it is wide, we have that

L = W + 30

Since the area of the **rectangular plot** is A = LW where

Since A = 20,000 m², we have that

LW = 20,000

(W + 30)W = 20,000

W² + 30W = 20,000

W² + 30W - 20,000 = 0

Using the quadratic formula, we have that

[tex]W = \frac{-30 +/- \sqrt{30^{2} - 4 X (-20000)} }{2 X 1} \\W = \frac{-30 +/- \sqrt{900 + 80000} }{2} \\W = \frac{-30 +/- \sqrt{80900} }{2} \\W = \frac{-30 +/- 284.43}{2} \\W = \frac{-30 +/- 284.43}{2}\\W = \frac{-30 - 284.43}{2} or \frac{-30 + 284.43}{2}\\W = \frac{-314.43}{2} or \frac{254.43}{2}\\W = -157.22 or 127.23\\[/tex]

Since W cannot be negative, we have W = 127.23

Since L = W + 30

L = 127.23 + 30

L = 157.23

So, the dimensions are

Length = 157.23 mWidth = 127.23 mSo, the equation of the **dimensions** of the **rectangular plot** is W² + 30W - 20,000 = 0

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Question ♀️ 2The function p(t) = 2(3)^t represents the population of a certain type of bacteria after t days. What is the population of the bacteria after 7 days?

**Explanation**

Given the function;

[tex]p(t)=2(3)^t[/tex]**We are asked to find the population of the bacteria after 7 days. **

Given that t represents the number of days, we can find the population by substituting 7 into the formula. This can be seen below.

[tex]\begin{gathered} p(t)=2(3)^7 \\ =2\times2187=4374 \end{gathered}[/tex]**Answer: 4374**

Help me with this please

**Answer:**

first plot the positive 2 on the y axis

plot (0,2)

Then from (0,2) go up 2 and right 2.

Answer in attached image

Characterize the slope of the line in the graph,

A. Positive

B. Negative

C. Zero

D. Undefined

Slope of the line graph here is **undefined**.

When a line is vertical, its **slope** is ambiguous. A vertical line lacks the horizontal distance required for a positive, negative, or zero slop to exist. Since there is no horizontal change, there is no slope for vertical lines because 0 cannot be divided into any integer.

It is obvious that the x-coordinates are the same if we have a pair of coordinates, (x1, y1) and (x1, y2) through which a line passes. They are the same **vertical line's** points. As a result, the slope of such a line will be ambiguous.

**Examples** of undefined slope in real-world situations include elevators that only go up and down, and a mountain cliff that is vertical for a certain amount of height but impossible for climbers to scale.

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A committee of 3 members is selected from a club made up of junior members and senior members. What is the expected number of juniors in the committee?.

The **expected** number of **juniors** in the **committee** is 1.3

The question is incomplete, the complete question is given below:

A committee of 3 members is selected from a club made up of 13 juniors members and 17 senior members. What is the expected number of juniors in the committee?

The expected number of juniors in the committee is computed here as:

Juniors in the committee=13

**Seniors** in the committee=17

**Total number** of members=(13+17)=30

Fraction of juniors in total members=13/30

So expected number of juniors in the committee:

=Fraction of juniors in total members*Total number of members to be selected

=(13/30)*3

=1.3

Therefore 1.30 is the expected number of juniors in the committee

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Mr. Giordano's drove 4.5 miles in 5 minutes. Mr. Baras drove 6.3 miles in 8 minutes. Who drove faster? Explain using unit rates for both teachers.

If Mr. Giordano's **drove **4.5 miles in 5 minutes and Mr. Baras drove 6.3 miles in 8 minutes, then the Mr. Giordano drove fast because** speed **of Mr. Giordano is greater than Mr. Baras

**The distance** traveled by Mr. Giordano = 4.5 miles

The time taken = 5 minutes

Speed = Distance / Time

Substitute the values in the **equation**

Speed = 4.5/5

= 0.9 miles per minutes

The distance traveled by Mr. Baras = 6.3 miles

**The time taken** = 8 minutes

Speed = Distance / Time

Substitute the values in the equation

Speed = 6.3/8

= 0.78 miles per minutes

Hence, if Mr. Giordano's drove 4.5 miles in 5 minutes and Mr. Baras drove 6.3 miles in 8 minutes, then the Mr. Giordano drove fast because speed of Mr. Giordano is greater than Mr. Baras

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Melanie invests $3,000 at 12% simple interest for 1 year. How much is in the account at the end of the 1 year period?

We have the following:

We must apply the simple interest formula which is the following:

[tex]A=P\cdot(1+rt)[/tex]Where, P is the principal 3000

r is the interest rate 0.12

t is time in years

A is the total value

replacing:

[tex]\begin{gathered} A=3000\cdot(1+0.12\cdot1) \\ A=3000\cdot1.12 \\ A=3360 \end{gathered}[/tex]The answer is $3360 at the end of the 1 year period

You have 900 feet of fencing to enclose a rectangular plot that borders on

a river. If you do not fence the side along the river, find the length and

width of the plot that will maximize the area. What is the largest area that

can be enclosed?

The width, labeled x in the figure, is

(Type an integer or decimal.)

feet.

X

River

900-2x

x

Answer:

A = 101250 meter²

**Step-by-step explanation:**

Answer:

Maximum area enclosed will be 101250 meter².

Step-by-step explanation:

Let the length of the rectangular plot is x meters and the width is y meters.

900 meters is the length of the fence which represents the length of the three sides of the plot.

Therefore,

x + 2y = 900

y = ￼ meters

Now the area of the rectangular plot will be

A = Length × Width

= (x)(y)

= ￼

= 450x - ￼

We know for the maximum area we will differentiate the area and equalize it t the zero.

￼

= 450 - x

For the maximum area, ￼

Therefore, 450 - x = 0

x = 450

and y = ￼

y = ￼

y = 450 - 225

= 225 meters

Now the area enclosed A = 450 × 225

A = 101250 meter²

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ist the following aqueous solutions in order of increasing melting point. (The lastthree are all assumed to dissociate completely into ions in water.)(a) 0.1 m sugar(b) 0.1 m NaCl(c) 0.08 m CaCl2(d) 0.04 m Na2SO4
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Rachel earns $27 per hour at work. She worked 936 hours last year. How much did Rachel earn from working last year?
Guys i need help is this right?
if once taxi fare was $7.65 how many miles did he travel in the taxi a taxi company charges $2.25 for the first mile and then $0.20 per mile for additional mile or f equals $2.25 + $0.20(m -1) where f is the fair and m is Adam's number of miles
Pls answer the question on the image attatched.