On a photograph an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg?

Answers

Answer 1

Answer:

3/5cm

Step-by-step explanation:

Let's solve your equation step-by-step.

x(25)=15

Step 1: Simplify both sides of the equation.

25x=15

Step 2: Divide both sides by 25.

25x /25 = 15/25

x = 3/5

Answer 2

Actual length of ant's leg is 0.6cm

Let the actual length of ant's leg = a

Scale = 25 : 1

Length in photo = 15 cm

Express as a an equation :

25 × actual length = 1 × length in photo

25a = 15

a = 15 / 25

a = 0.6

Hence, actual length of ant's leg is 0.6cm

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Related Questions

what is first the statement or proportion

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Answer: the first statement is a ratio or fractions that are equale

What is the standard form of this number?

(8 × 0.1) + (5 × 0.01) + (1 × 0.001) =

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Answer:

0.851

Step-by-step explanation:

I need this at 8 hurry guys I’ll give brainlyest

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Answer:

1 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

NEED HELP ASAP I WILL RATE 5 STARS

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Answer:

B

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

12.009 write in word form

Answers

twelve and nine thousandths

A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent

Answers

Answer:

i cant see the graph if there was a graph with it it would really help lol

Step-by-step explanation:

Answer:

Don't Be mean Online. Be a buddy, Not a Bully

Step-by-step explanation:

a line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line

Answers

Step-by-step explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

   m is the slope

    c is the y-intercept

  Now, we write the given line in the slope - intercept form;

       3x - 4y  = 1

            -4y  = -3x + 1

  Divide through by -4

       [tex]\frac{-4y}{-4}[/tex]   = [tex]\frac{-3x}{-4}[/tex]  + [tex]\frac{1}{-4}[/tex]  

          y  = [tex]\frac{3}{4} x[/tex] - [tex]\frac{1}{4}[/tex]  

The slope of this line is [tex]\frac{3}{4}[/tex]  

Any line with the slope  [tex]\frac{3}{4}[/tex]  will be parallel to the given line.

complete the point-slope equation of the line through (1,0) and (6,-3)

Answers

Answer: y- (-3)= -3/5 (x-6)

Step-by-step explanation:

At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E

Answers

Answer: C ( square root of 1.5 x 3.6)

Step-by-step explanation:

The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.

The standard deviation expression of the distribution P is √(1.50 × 3.6)

Given the Parameters :

Expected value = 2.6Variance = 3.6 Price per doughnut = $1.50

The price for the variance of the distribution can be written as :

Price per doughnut × Variance

Variance = $1.50 × 3.6

The standard deviation of the distribution D is related to the variance by the formular :

Standard deviation = √variance

Standard deviation = √(1.50 × 3.6)

Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)

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What is the solution to -3 m 49 771-49​

Answers

Answer:

49722

Step-by-step expla Reste los número 49722 solucion  

Alterna entre 4,9722 x 10 a la 4

I WILL MARK BRAINLIST

Answers

Answer:

the Answer is C. A and B

Step-by-step explanation

plot the points for each figure

Ethan has an interesting 10-day job offer. He can earn a flat rate of $100 per day or
get paid $1 the first day, $2 the second day, $4 the third day, $8 the fourth day, and
so on. Which payment plan should he take, the flat-rate plan or the increase-per-day
plan? Explain.

Answers

He should use the increase per day option because in this option he will earn 1209 dollars after 10 days and the other option will only give him 1000 dollars after 10 day

Given g (x) = -x + 3, find g(1)

Answers

Answer:

2

Step-by-step explanation:

g (x) = -x + 3

g(1) = -(1) + 3

= 2

Hope this helped! If so, plz mark brainliest.

PLZ HELP!!!!!!35. ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
a. (3.8)
b. (9,4)
c. (2,3)
d. (8,3)

Answers

Answer:

wouldnt it be (6,-1)...

Step-by-step explanation:

because those are the cords your said c was at

Kyle invests $11200 in two different accounts. The first account paid 10 %, the second account paid
7 % in interest. At the end of the first year he had earned $958 in interest. How much was in each
account?
$____at 10 %
$____at 7 %

Answers

Answer:

Kyle invested 5,800 at 10% and 5,400 at 7%.

Step-by-step explanation:

Let x be the amount Kyle invests in the 10% account.

0.1x + 0.07(11200 - x) = 958

0.1x + 784 - 0.07x = 958

0.03x = 174

x = 5800

Kyle invests $5,800 at 10% and $5,400 at 7%.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Kyle invests $11200 in two different accounts.

The first account paid 10 %.

The second account paid 7 % in interest.

At the end of the first year,

he had earned $958 in interest.

Let n be the amount Kyle invests in the 10% account.

0.1n + 0.07(11200 - n) = 958

0.1n + 784 - 0.07n = 958

0.03n = 174

n = 5800

Therefore, $5,800 at 10% and $5,400 at 7%.

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What if it like this

Answers

Answer:

The answer is 4:1

Step-by-step explanation:

16:3 goes to 4:1

What is the purpose of a pilot​ sample?

a. To help clarify how the sampling process will be performed.
b. To provide an idea of what the population standard deviation might be.
c. To save time and money instead of having to carry out a full sampling plan.
d. To provide a better idea of what the population mean will be.

Answers

Answer:

b. To provide an idea of what the population standard deviation might be

Step-by-step explanation:

Pilot sample can be regarded as the

small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.

The population standard mean is a parameter and it's been calculated from every entity of the population and

can be calculated using below formula

σ =√Σ (xi -μ)^2 /N

Where N= size of the population

σ= population standard mean

μ= population mean

Xi=each sample from the population

Jen is single and owns a condo. Her condo costs $120,000 and she has a $100,000 mortgage at 5%. She pays $3,600 in property tax and contributes $500 to ber church per year. Does she use Iternized Deduction or Standard Deduction?​

Answers

Answer:

`298,483

Step-by-step explanation:

What is the x-intercept of the line?
(22,36)
(27,54)
(32,72)

Answers

Answer:

12

Step-by-step explanation:

the equation of the line is y=18/5x-216/5 and then find the x intercept and that is 12

The x-intercept of the line is 1.

The line intersects the x-axis at the point (1, 0).

Here,

To find the x-intercept of a line, we need to identify the point at which the line intersects the x-axis.

At the x-intercept, the y-coordinate is always 0.

Let's use the given data to find the equation of the line first using two points (x, y):

Using (22, 36) and (27, 54):

Calculate the slope (m) of the line:

m = (change in y) / (change in x) = (54 - 36) / (27 - 22) = 18 / 5

Use the slope and one of the points to find the equation of the line

(y = mx + b).

Let's use (22, 36):

36 = (18/5) * 22 + b

36 = 39.6 + b

b = 36 - 39.6

b = -3.6

So, the equation of the line is y = (18/5)x - 3.6.

Now, to find the x-intercept (where y = 0), we can set y = 0 in the equation and solve for x:

0 = (18/5)x - 3.6

(18/5)x = 3.6

x = 3.6 * 5 / 18

x = 1

Therefore, the x-intercept of the line is 1.

The line intersects the x-axis at the point (1, 0).

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If x² + xy – 3y = 3, then at the point (2, 1), dy/dx
(A) 5
(B) 4
(C) 7/3 (D) 2

Answers

Answer:

A

Step-by-step explanation:

We are given the equation:  

[tex]x^2+xy-3y=3[/tex]

And we want to find dy/dx at the point (2, 1).

Find dy/dx. We can take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3][/tex]

Implicitly differentiate:

[tex]\displaystyle 2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0[/tex]

Solve for dy/dx:

[tex]\displaystyle \begin{aligned} x \frac{dy}{dx} - 3\frac{dy}{dx} & = -2x - y \\ \\ \frac{dy}{dx}(x - 3) & = -2x - y \\ \\ \frac{dy}{dx} & = \frac{-2x-y}{x-3} \\ \\ & = \frac{2x+y}{3-x} \end{aligned}[/tex]

To find dy/dx at (2, 1), evaluate dy/dx for x = 2 and y = 1. Hence:

[tex]\displaystyle \frac{dy}{dx}\Big|_{(2, 1)}=\frac{2(2)+1}{3 - (2)}=\frac{5}{1}=5[/tex]

Hence, our answer is A.

We want to find the differential dy/dx for the given expression at the given point. We will see that the correct option is A.

How to differentiate the expression?

We have:

x^2 + xy - 3y = 3

First, we need to isolate the variable y in one side of the equation, so we get:

xy - 3y = 3 - x^2

y*(x - 3) = 3 - x^2

y = (x - x^2)/(x - 3)

Now we can differentiate this, remember that if:

f(x) = g(x)*h(x)

then:

f'(x) = g(x)*h'(x) + g'(x)*h'(x)

Using that rule.

dy/dx = (1 - 2x)/(x - 3) - (x - x^2)/(x - 3)^2

Now we need to evaluate this in x = 2 (the x-value of the point) so we get:

(1 - 2*2)/(2 - 3) - (2 - 2^2)/(2 - 3)^2

= (-3)/(-1) - (-2)/(1) = 5

So the correct option is A.

If you want to learn more about differentiation, you can read:

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find the measure of all the missing angles.

Answers

Answer:

a = 68deg b = 112deg c = 68deg

Step-by-step explanation:

angle opposite 112deg is 112deg (vertically opp angels)

since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)

b = 112 deg (vertically opp angles)

c = a (vertically opp angles)

Please hurry please

Answers

Answer:yes

Step-by-step explanation:

44/4=11

11 is less than 27

helppppp please I will give brainliest​

Answers

Answer:

y=3/4x

Step-by-step explanation:

The price of a TV after a 20% discount is $620, what was the price before the discount?​

Answers

Answer:

The original prince is: $775            

Step-by-step explanation:

As the discount is 20%.

As we know that

100% - 20%  = 80% = 80/100 = 0.8

The price after 20% discount = Discounted price = $620

We have to find the original price before the discount.

using the formula

(Discounted price) = (100 percent - discount percent) x (original price)

          $620            = (100% - 20%) x (original price)

          $620            = (80%) x (original price)

          $620             = (80/100) x (original price)

          $620              = (0.8) x (original price)

so

original price = $620/0.8

                      = $775

Therefore, the original prince is: $775                        

Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, where c is the number of centimeters on the map and m is the corresponding real-world distance in miles. If they cover a distance of 18 miles, that would mean a distance of centimeters on the map.

Answers

Answer:13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

what is the are in square feet of a 100 yard by 60 yard football field

Answers

Area = Length * Width

1 yard = 3 feet

100 yards = 300 feet
60 yards = 180 feet

Area = 300ft * 180ft
Area = 54,000 ft^2

Video game system and several games are sold for $664. The cost of the games is 3 times as much is a cost in system. Find the cost of the system the cost of the games.

Answers

Answer:

games=$483

system=$161

Step-by-step explanation:

Answer: the cost of the system is $166 and the cost of the games is $498.

Step-by-step explanation:

PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?

Answers

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm means 0 mm of precipitation was recorded when the tracking started at 0 minutes. The y-intercept is 0 mm.

✅Thursday's Storm has the same y-intercept as the graph of Monday's Storm, which is also 0 mm precipitation at the beginning of the tracking. It has the same meaning as that of the y-intercept of the graph of Monday's Storm.

Is 13 a solution to the compound inequality d>5 and x<10

Answers

Answer:

Step-by-step explanation:

13>5 is correct but 13 < 10 is not correct

so 13 is not a solution

OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH?

I REALLY NEED HELP PLS!

:3

Answers

Answer:

The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.

Step-by-step explanation:

Now that i wrote this passage you have to figure out which one it is

I’m not sure of that but it might be 6.8
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