Ms. Thornton's class visited five freshwater lakes to learn more about the crocodiles and alligators living in them. The class counted the number of species in each lake as shown in the table.
Lake Crocodiles Alligators
A 4 5
B 21 35
C 3 9
D 6 16
E 24 30

The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?
A.
lake A and lake B
B.
lake B and lake C
C.
lake A and lake E
D.
lake C and lake D

To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.

To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:

Determine the total amount required: The recipe requires 3 cups of sugar.

Determine the measurement of the cup you have: You can measure using only 2/5 cups.

Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.

This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.

Answer:

The sides of the first quadrilateral are 60 in, 40 in, 30 in and 12,5 in

The sides of the second quadrilateral are 24 in, 16 in, 12 in and 5 in

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Arrange the sides of each quadrilateral from largest to smallest

First quadrilateral            Second quadrilateral

Longest side=60 in          Longest side=c in

Second side=40 in           Second side=16 in

Third  side= a in                Third  side= 12 in

Fourth side=b in                Fourth side=5 in

so

[tex]\frac{60}{c}=\frac{40}{16}=\frac{a}{12}=\frac{b}{5}[/tex]

Find the value of c

[tex]\frac{60}{c}=\frac{40}{16}[/tex]

[tex]c=60(16)/40[/tex]

[tex]c=24\ in[/tex]

Find the value of a

[tex]\frac{40}{16}=\frac{a}{12}[/tex]

[tex]a=40(12)/16[/tex]

[tex]a=30\ in[/tex]

Find the value of b

[tex]\frac{40}{16}=\frac{b}{5}[/tex]

[tex]b=40(5)/16[/tex]

[tex]b=12.5\ in[/tex]

Final answer:

To find the unknown sides of the two similar quadrilaterals, we calculate the scale factor using known side lengths, then apply this factor to determine the missing side lengths, resulting in 7.5 inches for the second quadrilateral and 128 inches for the first quadrilateral.

Explanation:

The subject of this question is finding the unknown lengths of the sides of two similar quadrilaterals. To determine the lengths, we first need to identify the scale factor that relates the two quadrilaterals. Given that the two longest sides of the first quadrilateral are 40 inches and 60 inches, and that the three shortest sides of the second quadrilateral are 5 inches, 12 inches, and 16 inches we can determine that the quadrilaterals must have been scaled by a factor that relates these sides.

To find the scale factor, we divide one of the known sides of the first quadrilateral by the corresponding side of the second. Let's use the sides 40in and 5in for this purpose: Scale factor = 40in / 5in = 8.

Now, to find the length of the unknown side of the second quadrilateral, we would multiply the length of the corresponding side of the first quadrilateral by the inverse of the scale factor, which in this case is 1/8. Conversely, to find the missing length of the first quadrilateral, we take the known length of the second quadrilateral and multiply it by the scale factor.

To find the unknown length of the longest side of the second quadrilateral, we multiply the length of the longest side of the first quadrilateral (which could be either 40in or 60in) by the inverse of the scale factor: Unknown longest side of second quadrilateral = 60in ×(1/8) = 7.5in.

Similarly, the unknown third side of the first quadrilateral is found by multiplying the third known side of the second quadrilateral by the scale factor: Unknown third side of first quadrilateral = 16in ×8 = 128in.

Therefore, the unknown sides of the two figures are 7.5in for the second quadrilateral and 128in for the first quadrilateral.

Answer:

-9

Step-by-step explanation:

36 ÷ (1 - |2 - 7|) =

Start with the calculation inside the absolute value.

= 36 ÷ (1 - |-5|)

Now take the absolute value of -5 which is 5.

= 36 ÷ (1 - 5)

Do the operation inside the parentheses, 1 - 5 = -4.

= 36 ÷ (-4)

Finally divide. Remember that positive divided by negative is negative.

= -9

Answer:

Yes you can because 14 is a even number.

Step-by-step explanation:

First you divide 14 by 2 to get two equal piles and boom there's your answer.

Yes, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The solution is as simple as dividing 14 by 2 to produce two equal piles.

⇒ 14/2

⇒ 7

Thus, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.

Learn more about Arithmetic operations here:

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one hour has 60 minutes, each minute has 60 seconds, so then an hour has 60*60 seconds, namely 3600 seconds.  How many miles does Seth travel in 3600 seconds?

[tex]\bf \begin{array}{ccll} miles&seconds\\ \cline{1-2} 1&57.1\\ x&3600 \end{array}\implies \cfrac{1}{x}=\cfrac{57.1}{3600}\implies 3600=57.1x \\\\\\ \cfrac{3600}{57.1}=x\implies 63.05 \approx x[/tex]

Answer:

In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:

57.1 seconds / 60 = .952 minutes

Now we can change our minutes to hours:

.952 minutes / 60= .016 hours

Now to find miles per hour we divide the miles by our time:

1 mile / .016 hours = 63.04 mph

Answer:

100 kilometers per centimeter.

Step-by-step explanation: We are given that

Length of Mississippi River = 3,730 km.

The scale is required to find if the length of the river is given 37.3 cm.

Thus, the scale of the map is given by, = 100

Hence, the scale of the map is 100 kilometers per centimeter.

Answer:  [tex]\bold{L=\dfrac{S-2WH}{2W+2H}}[/tex]

Step-by-step explanation:

[tex]S=(2W+2H)L+2WH\\\\\\\underline{\text{Subtract 2WH from both sides:}}\\S-2WH=(2W+2H)L\\\\\\\underline{\text{Divide both sides by (2W + 2H):}}\\\\\dfrac{S-2WH}{2W+2H}=L[/tex]

Answer:

Step-by-step explanation:

note : distance between A(X1,Y1) an B (X2,Y2) is :

AB= √((X2 - X1)² + (Y2 - Y1)²)

in this exercice : X1 = -3      X2 = - 4     Y1 = 5         Y2 = 1

continue .....calculate AB

Answer:

all work is shown and pictured

Answer:

I believe the answer to this is D. All Real Numbers. I had the same question and this is what I picked.

Hope it helps!

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{5}~,~\stackrel{y}{8})\qquad \implies 8=k(5)\implies \cfrac{8}{5}=k[/tex]

Answer:

D. 29 cm.

Step-by-step explanation:

The measure of the longest side cannot be equal or greater than (17 + 13) = 30 cm  or it wouldn't be a triangle.

So it cannot be 30 or 31 cm long. Also as we want the longest side so it can't be 4 cm.

The answer is 29 cm.

Answer:

115%

Step-by-step explanation:

Set up the equation like this:

537.05 / 467 = x / 100

Cross multiply

467x = 53705

x = 115

Answer:

x = 6

y = 24

Step-by-step explanation:

(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°

(14x + 4) + (16x - 4) = 180

30x = 180

[tex]\frac{30x}{30} = \frac{180}{30}[/tex]

 x = 6

Then you plug in 6 to (14x + 4)

(14(6) + 4) = 84 + 4 = 88

180 - 88 = 92

Now subtract 92 from 180 and make it equal to (4y - 8) to get y.

 (4y - 8) = 180 - 92 ---> (4y - 8) = 88

                                           + 8    + 8

                                         4y = 96

                                          [tex]\frac{4y}{4} = \frac{96}{4}[/tex]

                                               y = 24

Answer:

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

[tex](1)\qquad14x+4=4y-8[/tex]

Supplementary angles add up to 180°. Therefore we have the equation:

[tex](2)\qquad(16x-4)+(14x+4)=180[/tex]

Solve (2):

[tex](16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6[/tex]

Put the value of x to (1) and sole:

[tex]4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24[/tex]

Answer:

Step-by-step explanation:

Least: 2/15 , 1/5 , 3/5 -greatest

Answer:

2/15,1/5=3/15,3/5=9/15

Step-by-step explanation:

Look at the answer it is from least to greatest

Answer:

Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.

Step-by-step explanation:

When we round 6.2 lb to the nearest pound we round down, because the digit after point is less than 5 (2<5), so

[tex]6.2\ lb\approx 6\ lb[/tex]

When we round $2.85 to the nearest dollar we round up, because the digit after point is greater than 5 (8>5), so

[tex]\$2.85\approx \$3[/tex]

Now, 6.2 lb of blueberries will approximately cost

[tex]\$3\cdot 6=\$18[/tex]

Hence, Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.

Answer:

answer is B Jose incorrectly rounded $2.85 down to $2. The estimate should be $18. have a great day.

Step-by-step explanation:

Answer:

Step-by-step explanation: Alright so first you ditribute the 3 with 3m and - 2 so you will get 9m - 6 - 3 = 36 from there add all like terms like - 6 and - 3 so you will get 9m - 9 = 36 now we want variables in one side and normal numbers in the others so we add 9 to both sides so we get 9m = 45 now divide both by 9 so M = 5

Answer:

27

Step-by-step explanation:

3 x 9 = 27

you just multiply the two. (if it asks for temperature after the hours just subtract)

The temp dropped 27 degrees. 3 degrees times 9 nights is 27 degrees dropped. :)

Answer:

$76.50

Step-by-step explanation:

Let's split this up.

First, we will do the 150 parts. But, we need to subtract so that we know how many parts he worked on over 150.

So...

210-150=60

Now that we know how many parts he worked on over 150, let's multiply.

.35*150=52.50

Now, let's multiply what he did over 150.

.40*60=24

Finally, we have to add his pay up.

52.50+24.00=76.50

Making your answer...

$76.50

Hope this helps!!!

Brady

Answer:

52 ounces

Step-by-step explanation:

multiply the volume value by 8

To convert 6 1/2 cups to ounces, multiply the number of cups by 8 (since 1 cup equals 8 ounces). Six cups equal 48 ounces, and half a cup equals 4 ounces, which totals to 52 ounces. Therefore, 6 1/2 cups is equal to 52 ounces.

To convert 6 1/2 cups to ounces, we first need to understand the relationship between cups and ounces. A cup is a unit of volume commonly used in cooking to measure liquids, and it is equivalent to 8 ounces. To find out how many ounces are in 6 1/2 cups, we multiply the number of cups by the number of ounces in one cup.

Here is the step-by-step conversion:

So, 6 1/2 cups equals 52 ounces.

Answer:

18 17/24

Step-by-step explanation:

for further reasoning how i got the awnser ask in the comments

Answer:18.7

Step-by-step explanation:

Answer: X = y - yi - 7i

               Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

Answer:

x=y-yi-7i

y=ix+x-7+7i

        2      

Step-by-step explanation:

Answer:

explained

Step-by-step explanation:

a. daily requirement of milk = 4 liters

15 liters of milk is present

this 15 liters of milk will be used up in [tex]\frac{15}{4}[/tex] days

= 3(3/4) days , so after 3 days only more milk will be required to purchase.

b. daily milk consumption is reduced to half = 2 liters

Now, 15 liters of milk will be used up in [tex]\frac{15}{2}[/tex]= 7.5 or 7(1/2) days.

Hence now milk will be purchased after 7 days.  

Answer:

the number 151

Step-by-step explanation:

this because if you round 151 to the nearest hundread it would give you 200 but if you round it to the nearest ten ot would give you 150 which is closer to the actual number than 200.

Answer:

This will occur again in 15 more days.

Step-by-step explanation:

Simply divide 15 by 3, which equals 5, in which makes it the least common multiple of 5 and 3.

Answer:

90

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