Molly's Bikes rents bikes for $17 plus $8 per
hour. Emily paid $81 to rent a bike. For
how many hours did she rent the bike?

Answer:

a. [tex]\frac{2}{5}[/tex] yard

b. 1.2 feet

Step-by-step explanation:

a. Jackie cut a 2-yard spool into 5 equal length of ribbon.

We will divide 2 yard by 5 = 2 ÷ 5 =  [tex]\frac{2}{5}[/tex] yard

5 units = 2 yard

1 unit = [tex]\frac{2}{5}[/tex] yard

Check : [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{10}{5}[/tex] = 2

b. Length of each ribbon in feet

Since 1 yard = 3 feet

therefore, 2 yard = 3 × 2 = 6 feet

6 feet in to 5 equal part = 6 ÷ 5

                                       = 1.2 feet

check :   1.2 + 1.2 + 1.2 + 1.2 + 1.2 = 6.0 feet

Each ribbon cut from a 2-yard spool into 5 equal parts will be 0.4 yards or 1.2 feet in length. Tape diagrams represent this division into equal parts.

To determine the length of each ribbon when a 2-yard spool is cut into 5 equal lengths, you need to divide the total length by the number of pieces.

To represent this with a tape diagram, imagine a line equally divided into 5 sections, with each section representing 0.4 yards.

For the length in feet, since 1 yard equals 3 feet, we multiply the length in yards by 3.

To show this with a tape diagram, you can divide a line into 5 sections with each section representing 1.2 feet.

Answer:

[tex]b = \frac{4y}{5l + 5s} [/tex]

Step-by-step explanation:

[tex] \frac{4y}{5b} = l + s[/tex]

multiplying through by the L.C.M. which is 5b

[tex] \frac{4y}{5b} \times 5b = (l + s) \times 5b[/tex]

cancel out

4y =5bL+ 5bs

factorizing b out

4y=b ( 5L +5s ).

making be the subject by dividing through by ( 5L+ 5s )

[tex] \frac{4y}{5l + 5s} = \frac{b(5l + 5s)}{5l + 5s} [/tex]

[tex]b = \frac{4y}{5l + 5s} [/tex]

Answer:

$5000*(1,09)^10=~ $11836.82  

Step-by-step explanation:

Answer:

About 473 quails.

[tex]P=175(1.22)^t[/tex]

Step-by-step explanation:

Exponential equation with [tex]P_0[/tex] as the initial amount and rate of r is:

[tex]P=P_0(1+r)^t[/tex]

[tex]P=175(1+.22)^t[/tex]

[tex]P=175(1.22)^t[/tex]

After 5 years the population will be:

[tex]P=175(1.22)^5[/tex]

[tex]P \approx 472.9739[/tex]

So the population will be about 473 quails.

Answer:

1. A) (the graph is in the growth direction)

2. B) 130% increase

3. D) f(x)= 175 (1.22)^x ; 473

4. C) 7 years

5. D) y= 110(0.9)^x

Hope this helps.

Answer: 25

He's at -25, so -25 + 25 = 0!

Answer:

Step-by-step explanation:

It is obtion 4. See attached picture.

Answer:

Option A  m(3m + 4)(3m - 4)

Step-by-step explanation:

we have

[tex]9m^{3}-16m[/tex]

Factor m

[tex]m[9m^{2}-16][/tex]

Apply difference of squares

we know that

[tex][9m^{2}-16]=(3m+4)(3m-4)[/tex]

substitute

[tex]m[9m^{2}-16]=m(3m+4)(3m-4)[/tex]

Answer:

(a) $2,375.

(b) $2,875.

Step-by-step explanation:

We have been general admission to The American Museum of Natural History is $19.

(a). To find the total cost of tickets for a group of 125 students, we will multiply 125 by $19.

[tex]\text{The total cost of tickets}=\$19\times 125[/tex]

[tex]\text{The total cost of tickets}=\$2,375[/tex]

Therefore, the total cost of 125 tickets would be $2,375.

(b). We have been given that the group also purchases IMAX movie tickets for an additional $4 per student.

The total cost of one ticket would be the cost of museum ticket plus movie ticket that is [tex]\$19+\$4=\$23[/tex].

The new total cost of 125 tickets would be 125 times $23.

[tex]\text{The new total cost of tickets}=\$23\times 125[/tex]

[tex]\text{The new total cost of tickets}=\$2,875[/tex]

Therefore, the new total cost of 125 tickets would be $2,875.

Answer:

its 4 :)))

Step-by-step explanation:

Answer:

4 ft

Step-by-step explanation:

Answer:

[tex](x,y)\rightarrow (kx,ky)[/tex]

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation. The scale factor refers to the change in size. The center of dilation is a point about which we are dilating an object.

The dilation with the center of dilation at the origin and a scale factor of k has the rule

[tex](x,y)\rightarrow (kx,ky)[/tex]

This means that the image of the point with coordinates (x,y) after the dilation by a scale factor of k with center of dilation at origin will have coordinates (kx,ky).

Step-by-step explanation:

a. 57×23=1311

b. 724×82=59368

c. (345)(210)=72450

Answer:

Step-by-step explanation: 0.3 repeating can be made rational by turning it into 1/3.

[tex]\bf 0.\overline{3}\qquad \qquad x=0.\overline{3}\qquad \qquad \begin{array}{llll} 10\cdot x&=&3.\overline{3}\\\\ 100\cdot x&=&33.\overline{3} \end{array}\qquad \qquad \begin{array}{rllll} \stackrel{100x}{33.\overline{3}}\\\\ -\stackrel{10x}{3.\overline{3}}\\ \cline{1-1} 30.0 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=30\implies 90x=30\implies x=\cfrac{30}{90}\implies x=\cfrac{1}{3}[/tex]

Answer:

Step-by-step explanation:

What you need to do is take your 65% and put it over 100% like this: 65/100

Then, you take 2691 and put it into the denominator and put x on the top like this: x/2691

Then you need to put them equal to each other and cross multiply like this 65/100=x/2691

Multiply the 2691 by 65 and x by 100

to get 100x=2691(65)

Finally, multiply the 2691 by 65 and then divide that whole thing by 100 to get x.

x will be the land in acres and your final answer.

Good luck! Hope this was clear!

65% of the total acres of the large western state is approximately 1749.15 million acres.

To find the answer:

Calculate 65% of 2691 million acres.

Divide the result by 100 to get the amount federally owned.

Therefore, the federally owned land in the large western state is approximately 1749.15 million acres.

[tex]x - 2 < 5 \: and \: x + 7 > 6 \\ x < 7 \: and \: x > - 1[/tex]

The correct answer is the first one,

[tex] - 1 < x < 7[/tex]

Final answer:

To solve the given inequalities, (x - 2) < 5 and (x + 7) > 6, first isolate x in each one to get x < 7 and x > -1. The intersection of these solutions, which is the final answer, is -1 < x < 7.

Explanation:

The student has asked to solve two inequalities and find the intersection of their solutions. The inequalities are (x - 2) < 5 and (x + 7) > 6. To solve these separately:

For the first inequality, add 2 to both sides to get x < 7.

For the second inequality, subtract 7 from both sides to get x > -1.

To find the intersection, we look for values that satisfy both conditions: x > -1 and x < 7. Therefore, the solution is the set of all x such that -1 < x < 7.

Total meat in the recipe  he wants to use  = 7 pounds

Beef : pork    =    3  : 1

Total pork that he will use =       x 7 pounds

= 7/4 pounds

hope this helps

Answer:

Amount of pork used was 1 pound.

Step-by-step explanation:

Mike wants to make meatloaf by adding beef and pork.

Ratio of the meat (beef and pork) is = 3 : 1

Recipe requires total amount of meat = 4 pounds

So the amount of pork used in the recipe = [tex]\frac{1}{(1+3)}\times 4[/tex]

= [tex]\frac{1}{4}\times 4[/tex]

= 1 pound

Therefore, total amount of pork used in the recipe is 1 pound.

Answer:

120 ml

Step-by-step explanation:

Let x ml of 5% acid should mix with 60 milliliters of 20% acid to obtain a 10% solution,

Thus, the quantity of resultant mixture = ( x + 60 ) ml,

Also,

Acid in x ml 5% acid + Acid in x ml 5% acid = acid in 10% resultant solution,

5% of x + 20% of 60 = 10% of ( x + 60)

[tex]\frac{5x}{100}+\frac{20\times 60}{100}=\frac{10\times (x+60)}{100}[/tex]

[tex]5x + 1200 = 10x + 600[/tex]

[tex]5x - 10x = 600 - 1200[/tex]

[tex]-5x = -600[/tex]

[tex]\implies x = \frac{-600}{-5}=120[/tex]

Hence, 120 ml of 5% acid should be mixed.

3abc

Step-by-step explanation:

Final answer:

To find the value of 4(a+b-3)-(a+b+3c) given that a+b-c=3, we simplify to 3(a + b - c) - 12. Since a + b - c equals 3, the expression simplifies to -3.

Explanation:

The question provides the equation a + b - c = 3. To find the value of the expression 4(a+b-3)-(a+b+3c), we can simplify it using the given equation.

Let's break down the steps for simplification:

Answer:

short or long, thin or thick, straight or curved, direct or meandering, zigzag or serpentine, distinct or blurred

Answer:

Length

Step-by-step explanation:

We know that a line segment has two end points with a definite length.

A straight line has neither starting nor end point and is of infinite length

The attribute of the line is the length

Hope this helps! :)

The triangle can be a right triangle according to the Pythagorean theorem.

To determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (hypotenuse).

In this case, the lengths of the sides are 3, 3, and 3√2. Let's calculate: (3)² + (3)² = 18 and (3√2)² = 18. Since the two values are equal, the triangle satisfies the Pythagorean theorem and can be a right triangle.

Answer:

17

Step-by-step explanation:

Substitute the value of the variable and simplify.

[tex](-(2))^{(2+2)} +2^{(2-2)}[/tex]

[tex]-2x^{2+2} =2^{4} = 16[/tex]

[tex]2^{2-2} =2^{0}[/tex]

Anything raised to the power of 0 is one.

16 + 1 = 17

Answer:

17

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Answer:

300,000

Step-by-step explanation:

hope this helps

Answer:

271,000

Step-by-step explanation:

Rounding depends on the place value, if you are rounding to the nearest thousand, look at the number in the hundred place. Is that number lower or higher than 5? If lower, the place you are rounding to stays the same, and the places below it turn to zeros. If 5 or higher, round up, add 1 to the place you are rounding to, then turn the places below to zeros.

In this case, the hundreds place is a 4. Meaning you round down.

Answer:

3

Step-by-step explanation:

$1.75 (ice cream) + $0.35 (topping) * x (some toppings) = $2.80, so I can rewrite it like that: 1.75+0.35x=2.80

1) Move the constant to the right side and change its sign: 0.35x=2.8-1.75

2) Substract the numbers: 0.35x=1.05

3) Divide the both sides of the equation by 0.35

4) x=3

"The correct number of toppings on the sundae is 3.

To solve the problem, we first establish the cost of the ice cream sundae without any toppings, which is given as $1.75. We also know that each topping costs an additional $0.35. The total cost of the sundae with toppings is $2.80.

Let's denote the number of toppings as \( t \). The total cost of the sundae with toppings can be represented by the equation:

[tex]\[ \text{Total cost} = \text{Cost of sundae} + (\text{Cost per topping} \times t) \][/tex]

Substituting the known values into the equation, we get:

[tex]\[ 2.80 = 1.75 + (0.35 \times t) \][/tex]

To find the number of toppings [tex]\( t \)[/tex], we need to isolate [tex]\( t \)[/tex] on one side of the equation. We do this by subtracting the cost of the sundae from both sides of the equation:

[tex]\[ 2.80 - 1.75 = 0.35 \times t \][/tex]

[tex]\[ 1.05 = 0.35 \times t \][/tex]

Now, we divide both sides of the equation by the cost per topping to solve for [tex]\( t \)[/tex]:

[tex]\[ \frac{1.05}{0.35} = t \][/tex]

[tex]\[ t = 3 \][/tex]

Good morning ☕️

______

Answer:

The correct answer is A (x=-7)

___________________

Step-by-step explanation:

Look at the photo below for the details.

:)

Answer:

The answer is 392,200 if it's wrong I'm sorry

Answer:

392,200

Step-by-step explanation:

look at the right of the one (the hundreds place) and its a five. if its a five or above (which it is) bump up the one to the left of it, which was the one, and is now a two.

CAN EXPLAIN FURTHER IF THIS WAS UNCLEAR

Answer:

The sum of the first 6 terms in the given series is -1,092.

The sum of the first 6 terms in the given series is -1,092.

The sum of the first n terms in an arithmetic collection is (n/2)⋅(a₁+aₙ). it's far called the mathematics series components.

An infinite collection that has a sum is known as a convergent collection and the sum Sn is referred to as the partial sum of the collection.

Learn more about the sum of the series here: https://brainly.com/question/24295771

#SPJ2

Answer:

○ A. If two angles form a pair of vertical angles, then they are congruent.

Step-by-step explanation:

Not all vertical angles are congruent. There are many unique models where you will have a transversal, and there will be some angles where some are shorter than others, etcetera.

I hope this is correct, and as always, I am joyous to assist anyone at any time.

Answer:

Since -2 is rational and √3 is irrational, the sum and difference are irrational.

Step-by-step explanation:

Given equation,

[tex]x^2 + 4x + 1 =0[/tex]

[tex]x^2 + 4x = -1[/tex]

[tex]x^2 + 4x + 4 = -1+4[/tex]

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

[tex]x+2=\pm \sqrt{3}[/tex]

[tex]x=-2\pm \sqrt{3}[/tex]

Which is the solution of given equation.

Now, an integer is always a rational number ( that can be expressed as  [tex]\frac{p}{q}[/tex], where, p and q are integers such that q ≠ 0 ),

So, -2 is a rational number,

Now, √3 can not be expressed as p/q so it is an irrational number,

We know that sum and difference of rational and irrational number is always irrational.

Thus, -2 + √3 and -2 - √3 are irrational.

Answer:

C

Since –2 is rational and StartRoot 3 EndRoot is irrational, the sum and difference are irrational.

Step-by-step explanation:

Answer:

13 pieces

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

[tex]1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd[/tex]

Multiply by 2/2

[tex]\frac{4}{3}(\frac{2}{2})=\frac{8}{6}\ yd[/tex]

step 2

Adds 8/6 yd and 5/6 yd

[tex]\frac{8}{6}+\frac{5}{6}=\frac{13}{6}\ yd[/tex]

step 3

Divide the total length of paper used by 1/6 to obtain the number of pieces

[tex](\frac{13}{6})/(\frac{1}{6})=13\ pieces[/tex]