a rectangular field has dimensions of (2x-3) yards and (x+4) yards. the area of the field is 285 square yards. what are the length and width of the field?

Answers

Answer 1
Area = Length x Width

285 = (2x-3)(x+4)
285 = 2x^2 + 8x - 3x - 12
285 = 2x^2 + 5x - 12 
2x^2 + 5x - 12 = 285
2x^2 + 5x - 297 = 0
(2x^2  + 27)(x - 11) = 0
x = -27/2 (rejected, length cannot be negative) or 11
x = 11

2x - 3 = 2(11) - 3 = 19
x + 4 = 11 + 4 = 15

So the length and width are 19 yards and 15 yards


Related Questions

In a taxi, there is a pregnant lady that's 25 years old.An elder that's 76 years old. The taxi driver who's 34 years old. Who is the youngest?

Answers

The baby in the mothers stomach
baby in mothers stomach its 0 days   
i got yououu
 

In your lab, a substances temperature has been observed to follow the function T(x)=(x-2)^3+8. The turning point of the graph is where the substance changes from a solid to a liquid. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function.

Answers

To find the turning points, find the values of x where the derivative is 0.
T(x)=(x-2)^3+8
dy/dx=3(x-2)^2
equating the derivative to 0 we get
3(x-2)^2=0
(x-2)^2=0
x=2

Thus, turning point is at (2,0)


This figure is a step in which construction?

A. a line parallel to <-AB-> through point P.

B. a line perpendicular to <-AB-> through point P.

Answers

This will give you many results. AP = PB by construction

C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC

C when joined to P creates a perpendicular line. This is very important. You use it a lot. 
Answer:

Option: B is the correct answer.

B.  a line perpendicular to <-AB-> through point P.

Step-by-step explanation:

We know that a line perpendicular to a given line is constructed as follows:

1)  Draw a line segment AB

2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.

3) Draw a straight line that passes through the intersection  of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.

       Hence, the correct option is:

                    Option: B

A business woman invests $38,000 into two accounts: one that returns 3.5% annual interest and one that returns 6.5% annual interest. After 1 year, she earns $1960. How much did she invest in each account?


$23,000 in the 3.5% interest account, $15,000 in the 6.5% interest account.

$26,000 in the 3.5% interest account, $12,000 in the 6.5% interest account.

$12,000 in the 3.5% interest account, $26,000 in the 6.5% interest account.

$17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account.

Answers

$17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account.

Final answer:

The business woman invested $17,000 in the 3.5% interest account and $21,000 in the 6.5% interest account.

Explanation:

To find how much she invested in each account:

Let x be the amount invested at 3.5% interest and y be the amount at 6.5%.

We can set up a system of equations like this: x + y = $38,000 and 0.035x + 0.065y = $1,960.

Solving this system, we get x = $17,000 and y = $21,000.

Therefore, investment is $17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account

A train arrives at the station with 150 passengers on board.2/5 of the passengers get off the train in Seattle,and then 35 passengers board the train.How many passengers are on the train when it leaves the station?

Answers

2/5 of 150 is 60.  So 60 people leave the train leaving 90 people on it. 90 + 35 is 125. The answer should be 125.

Good luck!!
150/5=30
30×2=60
60+35=95
so there are 95 passengers when the train leaves.

In the sandwiches mode, select the "cheese" option and observe the equation given for the preparation of a cheese sandwich. in the equation, set the number of bread slices to "2" and the number of cheese slices to "1." you will see that the product formed by these three ingredients is one cheese sandwich. suppose you have 38 bread slices and 28 cheese slices. how many cheese sandwiches can you make?

Answers

Final answer:

You can make 19 cheese sandwiches with 38 bread slices and 28 cheese slices.

Explanation:

In this scenario, you have 38 bread slices and 28 cheese slices. The equation for a cheese sandwich is 1 sandwich = 2 slices of bread + 1 slice of cheese. So, if you set the number of bread slices to '2' and the number of cheese slices to '1', you can calculate how many cheese sandwiches you can make.

First, divide the number of bread slices (38) by 2 to get the number of sandwiches that can be made with the bread: 38 / 2 = 19 sandwiches.

Next, divide the number of cheese slices (28) by 1 to get the number of sandwiches that can be made with the cheese: 28 / 1 = 28 sandwiches.

Since you can only make 19 sandwiches with the available bread, the limiting factor is the bread. Therefore, you can make 19 cheese sandwiches with the given amounts of bread and cheese.

Whole numbers are written on cards and then placed in a bag. Tyra selects a single card, writes down the number, and then places it back in the bag. She repeats this 62 times. Tyra calculates the relative frequency of each number card. Outcome 1 2 3 4 5 Relative Frequency 0.19 0.20 0.21 0.19 0.21 Which statement about Tyra's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is not good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment. will give BRAINLIEST

Answers

Answer: The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment.

Step-by-step explanation: Probability model, also known as Probability distribution, is a mathematical function that shows the probability of any outcome to occur in an experiment. When those probabilities of occurence  are the same for all possible outcomes, it is a uniform probability distribution.

For example, if you roll a fair dice, the probability of having the number 1 is 1/6; for 2 is also 1/6 and etc,

In Tyra's experiment, when the calculates the frequency of each number card,  the values are closer together. This means that the probability of taking a card with number 1 written on it is almost the same as taking a card with number 2 and so. In conclusion, Tyra's experiment is au uniform probability model.

The statement about Tyra's experiment is:The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment.

In probability theory, a uniform probability model is one in which all outcomes in the sample space are equally likely to occur. This means that if there are n possible outcomes, the probability of each outcome is [tex]\( \frac{1}{n} \)[/tex].

In Tyra's experiment, she drew a card from a bag, recorded the number, and then replaced it before drawing again. This process is repeated 62 times, and she calculates the relative frequency of each number card. The relative frequency is the ratio of the number of times a particular outcome occurs to the total number of trials.

The given relative frequencies for outcomes 1 through 5 are as follows:

Outcome 1: 0.19Outcome 2: 0.20Outcome 3: 0.21Outcome 4: 0.19Outcome 5: 0.21

If the outcomes were equally likely, we would expect the relative frequencies to be the same for all outcomes, especially after a large number of trials like 62. However, the relative frequencies vary from 0.19 to 0.21, indicating that some outcomes are occurring more frequently than others.

Since the relative frequencies are not the same for all outcomes, we can conclude that the outcomes do not appear to be equally likely. Therefore, a uniform probability model, which assumes equal likelihood for all outcomes, would not be a good fit for Tyra's experiment. Instead, the probabilities in Tyra's experiment seem to be non-uniform, and a different probability model that accounts for the varying likelihoods of the outcomes would be more appropriate.

A rope of length 2/5 m is cut into 4 equal cords. What is the length of each cord?

Answers

every piece of cord is 1/10 of a meter long
i think the answer is 10 
hope it helps
please mark as brainliest

Lynn and dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and dawn's results?

Answers

The experimental probability would be 33 out of 60 or 55%

The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?

Answers

Another equation to get V is mass/density. 
A way to get density is mass/volume
A way to get mass is density times mass. 
I know you didn't ask for the other equations, but I listed them to show how density, volume, and mass are related. To answer your question, to get volume you divide mass by density.

The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex].  [tex](m)/(d)=V[/tex] is an equivalent equation solved for [tex]V[/tex].

To find the equation equivalent to [tex]d= m/V[/tex] solved for [tex]V[/tex], we need to isolate [tex]V[/tex]on one side of the equation.

Given the equation [tex]d= m/V,[/tex] where [tex]d[/tex] represents density, [tex]m[/tex] represents mass, and [tex]V[/tex] represents volume.

To solve for [tex]V[/tex] , we can rearrange the equation:

[tex]d= m/V[/tex]

First, let's get rid of the fraction by multiplying both sides by [tex]V[/tex]:

[tex]d*V=m[/tex]

Now, to isolate [tex]V[/tex], we need to divide both sides by [tex]d[/tex]:

[tex]V= m/d[/tex]

So, the equivalent equation solved for [tex]V[/tex] is:

[tex]V= m/d[/tex]

​This corresponds to option C: [tex]m/d=V.[/tex]

COMPLETE QUESTION:

The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?

A. [tex]dm=V[/tex]

B. [tex](d)/(m)=V[/tex]

C. [tex](m)/(d)=V[/tex]

D. [tex]m-d=V[/tex]

what is the reciprocal

Answers

keeping in mind that, any expression, can be written as a rational with a denominator of 1, since 3 is really 3/1 and 3/1 is well, just 3, likewise, "anything" is just "anything"/1 and so on.

the reciprocal of a rational, is just the same thing, upside-down, thus

[tex]\bf u^2-s^2\implies \cfrac{u^2-s^2}{1}\implies \stackrel{reciprocal}{\cfrac{1}{u^2-s^2}}[/tex]
hello!

In order to find the reciprocal of a number, we should just flop it over.

If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.

If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-

[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]

Explanation of steps:-

First, I turned the expression into a fraction by adding a denominator of 1.

Then, I flopped it over and found the reciprocal.

Hence, the reciprocal of u²-s² is:-

[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Let f(x)=5x3−60x+5 input the interval(s) on which f is increasing. (-inf,-2)u(2,inf) input the interval(s) on which f is decreasing. (-2,2) find the intervals on which f is concave up. (-inf,-2)u(2,inf) find the intervals on which f is concave down.

Answers

Answers:

(a) f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].

(b) f is decreasing at [tex](-2,2)[/tex].

(c) f is concave up at [tex](2, \infty)[/tex]

(d) f is concave down at [tex](-\infty, 2)[/tex]

Explanations:

(a) f is increasing when the derivative is positive. So, we find values of x such that the derivative is positive. Note that

[tex]f'(x) = 15x^2 - 60 [/tex]

So,

[tex] f'(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textgreater \ 0} \text{ (1)}[/tex]

The zeroes of (x - 2)(x + 2) are 2 and -2. So we can obtain sign of (x - 2)(x + 2) by considering the following possible values of x:

-->> x < -2
-->> -2 < x < 2
--->> x > 2

If x < -2, then (x - 2) and (x + 2) are both negative. Thus, (x - 2)(x + 2) > 0.

If -2 < x < 2, then x + 2 is positive but x - 2 is negative. So, (x - 2)(x + 2) < 0.
 If x > 2, then (x - 2) and (x + 2) are both positive. Thus, (x - 2)(x + 2) > 0.

So, (x - 2)(x + 2) is positive when x < -2 or x > 2. Since

[tex]f'(x) \ \textgreater \ 0 \Leftrightarrow (x - 2)(x + 2) \ \textgreater \ 0[/tex]

Thus, f'(x) > 0 only when x < -2 or x > 2. Hence f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].

(b) f is decreasing only when the derivative of f is negative. Since

[tex]f'(x) = 15x^2 - 60 [/tex]

Using the similar computation in (a), 

[tex]f'(x) \ \textless \ \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textless \ 0} \text{ (2)}[/tex]

Based on the computation in (a), (x - 2)(x + 2) < 0 only when -2 < x < 2.

Thus, f'(x) < 0 if and only if -2 < x < 2. Hence f is decreasing at (-2, 2)

(c) f is concave up if and only if the second derivative of f is positive. Note that

[tex]f''(x) = 30x - 60[/tex]

Since,

[tex]f''(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow x - 2 \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textgreater \ 2} [/tex]

Therefore, f is concave up at [tex](2, \infty)[/tex].

(d) Note that f is concave down if and only if the second derivative of f is negative. Since,

[tex]f''(x) = 30x - 60[/tex]

Using the similar computation in (c), 

[tex]f''(x) \ \textless \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textless \ 0 \\ \\ \Leftrightarrow x - 2 \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textless \ 2}[/tex]

Therefore, f is concave down at [tex](-\infty, 2)[/tex].

Sam can plant 261 cabbage plants in 1 row of his garden . How many rows in his garden must be used to plant 1044 plants

Answers

4 rows becsuse 261 × 4 = 1044. hop it helped

Find the radius of a cylinder with a volume of 208 cm3 and a height of 4 cm.

Answers

Volume = πr²h

----------------------------------------------
Find radius :
----------------------------------------------
208 = π x r² x 4

r² = 208 ÷ 4π
r² = 16.55
r = √16.55
r = 4.07 cm

----------------------------------------------
Answer: The radius is 4.07 cm.
----------------------------------------------

A rectangle has dimensions 10 cm by 6 cm. determine the measures of the angles at the point of where the diagonals intersect

Answers

see the attached figure to better understand the problem

we know that

in the triangle ABC
tan(alfa/2)=AC/BC----> 5/3
so
(alfa/2)=arctan (5/3)---------> 59.0362°
alfa=2*59.0362--------> alfa=118.07°
alfa+beta=180°----------> because are supplementary angles
beta=180-118.07-------> beta=61.93°

the answer is 
the angles are
alfa=118.07°
beta=61.93°


due to the same law, persons earning $500,000 per year had lower taxes removed from their paychecks on the first $106,800 they earned, saving them 2% of this portion of their salary. The same persons also received $14,250 more on their federal tax return. Fill in the blanks to complete the statement below. A person earning $500,000 a year received $______ more or______ % more of their income. Round to the nearest dollar and to the nearest tenth of a percent.

Answers

Given that the person earning $500,000 had a lower tax removed from them on the first $106,800 they earned, the amount saved if this portion was:
2/100*106,800
=$2136
amount received on federal tax return was $14,250

Total amount saved from taxes was:
14250+2136
=$16,386
this is equivalent to 16,386/500000=0.032772~3.28%
hence the answer is:
A person earning $500,000 a year received $16,386 more or 3.28% more of their income.

Final answer:

A person earning $500,000 per year received an additional $16,386 or 3.3% more of their income due to tax changes.

Explanation:

To ascertain how much more a person earning $500,000 per year received due to tax changes, we need to calculate the savings from the first $106,800 at a 2% reduction, in addition to the increased federal tax return of $14,250.

Firstly, we calculate 2% of $106,800:

0.02 × $106,800 = $2,136

Now, we add this to the additional amount received from the tax return:

$2,136 + $14,250 = $16,386

Therefore, a person earning $500,000 per year has received an additional $16,386. To find the percentage this additional amount represents of their income, we perform the following calculation:

($16,386 / $500,000) × 100 = 3.277%

Rounded to the nearest tenth of a percent, it is 3.3%.

The statement completed would be: A person earning $500,000 a year received $16,386 more or 3.3% more of their income.

An item is regularly priced at $ 40 . It is on sale for 40 % off the regular price. How much (in dollars) is discounted from the regular price?

Answers

40 percent of something is the same as multiplying it by 40/100, so to find 40% of $40, you would multiply $40 * 40/100 = $16 discounted

$16 are discounted from the regular price of the item.

Discounts

Given that an item is regularly priced at $40, and it is on sale for 40% off the regular price, to determine how much (in dollars) is discounted from the regular price, the following calculation must be performed:

40 - (40 x (1 - 0.4)) = X40 - (40 x 0.6) = X40 - 24 = X16 = X

Therefore, $16 are discounted from the regular price of the item.

Learn more about discounts in https://brainly.com/question/1289629

Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of
BC,AM ⊥ MD , and the perimeter of ABCD is 34 in..

Someone answered this question but Ad is not 4 and AB is not 9. . Thank you

Answers

we know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

 using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

 the answer is

AD=11.33 in

AB=5.67 in

 

Convert y=2/3x-17 to standard form

Answers

        y = 2/3x - 17
  -2/3x  - 2/3x                      Subtract x value from both sides
-----------------------------
   y - 2/3x = -17 

the answer is 2x/3 - y = 17

Jermiah bought 3 sanwiches for lunch if each sandwich cost $4 how much did Jeremiah spend in all

Answers

I think you'll have to multiply 3 by 4 to find the total cost.

3*4= $12
3 x 4=12
So 3 sandwiches cost $12

Please help me god bless you.

Answers

I think it is the same distance from point A to CD

ABC undergoes a dilation, with a scale factor of 6, to form A’B’C’

Side A’B’ is 6 times the length of slide AB

what is the area of A’B’C, compared to the area of ABC?

Answers

Given that ABC has gone a dilation with scale factor of 6 to form A'B'C'. The linear scale factor of the triangles is 6. Thus when we compare the areas of the two triangles we shall use the area scale factor which is given by:
area scale factor=(linear scale factor)²
hence
area scale factor=6²
thus we conclude that the area of A'B'C' is 36 times the area of ABC

The price of milk is believed to increase by 54% over the next 3 years. If 2 gallons of milk costs $2.50 now, what will the price be in 3 years after the increase?

Answers

2.50*1.54=3.85
$3.85 will be the cost of the milk in three years

Final answer:

To find the future price of milk after a 54% increase, multiply the current price by 1.54. For 2 gallons of milk costing $2.50 now, the future price will be $3.85.

Explanation:

To calculate the future price of milk after a 54% increase over 3 years, we first need to determine the percentage increase in decimal form and then apply it to the current price. An increase of 54% is equivalent to a multiplier of 1.54 in decimal form.

Therefore, if 2 gallons of milk currently cost $2.50, we calculate the future cost by multiplying $2.50 by 1.54.

Here's the calculation:

Convert the percentage increase to a decimal: 54% = 0.54.

Add 1 to the decimal to account for the total value after the increase: 1 + 0.54 = 1.54.

Multiply the current price of 2 gallons of milk by the increase factor: $2.50 x 1.54 = $3.85.

After a 54% increase, the price for 2 gallons of milk will be $3.85.

What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?

Answers

The answer to the question should be n = 2.

This is because we can start by setting up the equation as this:

3/5n - 4/5 = 1/5n.

Next we would subtract 3/5n from both sides.

-4/5 = -2/5n.

Then we would multiply both sides by 5/-2.

2 = n.

Answer:

n = 2

Step-by-step explanation:

As per statement of the question we will form the equation first.

[tex](\frac{3}{5})n-\frac{4}{5}=(\frac{1}{5})n[/tex]

Now we will solve the given equation to get the solution of n.

[tex](\frac{3}{5})n=\frac{4}{5}+(\frac{1}{5})n[/tex]

[tex](\frac{3}{5})n-(\frac{1}{5})n=\frac{4}{5}[/tex]

[tex](\frac{3-1}{5})n=\frac{4}{5}[/tex]

[tex](\frac{2}{5})n= \frac{4}{5}[/tex]

Now we cross multiply the fractions

(2×5)×n = 4×5

10.n = 20

[tex]n=\frac{10}{5}=2[/tex]

Therefore answer is n = 2

In the figure, and . Complete the following statements to prove that and are supplementary angles. and , as they are corresponding angles for parallel lines cut by a transversal. Therefore, if , then by the . Therefore, and are supplementary angles by the . ° (1) , so (2) Applying the to (1) and (2), we get . Therefore, and are supplementary angles.

Answers

Your answer would be:
1) D. (TRANSITIVE PROPERTY OF CONGRUENCY)2) C. (LINEAR PAIR THEOREM)3) D. TRANSITIVE PROPERTY OF CONGRUENCY) to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.4) C. (CONGRUENT SUPPLEMENTS THEOREM)

The Complete sentence is shown below.

What is Congruent Supplement theorem?

Two angles are congruent if they are supplements of the same angle (also known as congruent angles).

The Complete sentences will be

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA  ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180°    (Linear Pair Theorem)

and ∠DLH +  ∠JLD =180° (Linear Pair Theorem)

Then, m∠IKL + m∠IKC = 180°      

Also, ∠IKC  ≅ ∠JLD

m∠IKC = m∠JLD (Subtraction Property OF Congruency)

Thus, m∠IKL + m∠JLD = 180°

As, ∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (Congruent Supplements Theorem)

Learn more about Congruent Supplements Theorem here:

https://brainly.com/question/29175829

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Larry use a pattern of colors to make a Q train he use a regular a blue cube a Red Cube and another Red Cube before he start the pattern again he use 15 cubes how many red cubes are Larry use

Answers

Larry will use 10 red cubes and 5 blue cubes

If Tim and Terry started to run in opposite directions with the speeds of 90 feet per minute and 11 feet per minute respectively, how far away from each other will they be in 18 minutes?


PLZ, FIRST CORRECT ANSWER AUTOMATICALLY GETS BRAINLIEST!!

Answers

90*18 + 11*18 feet then you add and get 1818.

To find the distance between Tim and Terry after 18 minutes, you can calculate the distance each has traveled based on their speed and time elapsed. Then subtract their distances to find the total distance between them.

To determine the distance between Tim and Terry after 18 minutes, you can add up the distances each has traveled according to their speeds and time elapsed. Tim covers 90 feet/minute, so in 18 minutes, he would have traveled 90 * 18 = 1620 feet. Terry covers 11 feet/minute, so in 18 minutes, he would have traveled 11 * 18 = 198 feet.

Calculating the total distance between them:

Distance = |1620 - 198| = 1422 feet

Which exponential equation is equivalent to the logarithmic equation below? c = ln 2

Answers

1. To solve this problem, you need to remember that an exponential function has the following form:

 f(x)=a^x

 "a" is the base and "x" is the exponent.

 2. It is important to know that the logarithmic functions  and the exponential functions are inverse. Then, you have:

 c=ln2
 e^c=e^(ln2)
 e^c=2

 3. Therefore, the answer is:

 e^c=2

e^c=2

Step-by-step explanation:

The city of austin can buy roads or light rail. if 10 miles of roads cost $1 million and 2 miles of light rail cost $10 million, what is the city's opportunity cost of 1000 miles of roads?
a. $1,000 million
b. 200 miles of light rail
c. 2 miles of light rail
d. $100 million
e. $50 million

Answers

The first part is how many dollars would it cost to build 1000 miles of road. The second part is to determine how much light rail could be made for the same amount. 


10 miles of road = $1 million. Multiply by 100 to get the cost for 1000 miles of road. 


1000 miles = $1 million * 100 = $100 million. 

For the same $100 million, the city could build 20 miles of light rail. (2 miles for $10 million, multiply by 10 = 20 miles for $100 million).

Compare the decimals 1,825.10 and 1,825.1. Which is correct? A. 1,825.10 > 1,825.1 B. 1,825.10 < 1,825.1 C. 1,825.10 = 1,825.1

Answers

THEY ARE EQUAL
1,825.1=1,825.10

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