how do i write the fraction 3/4 as a product of a whole number and a unit fraction

The linear equation that represents the given literal problem is  3x+12= 28.50 (letter D) and Ava pays $5.5 (letter B)  for each pumpkin.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=9x+5. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=9 and b=5.

The exercise presents two questions, before solving them, you should convert the given text information into equations.

Data question

     1) Question 1

     Here you should write a linear equation that represents the given problem. Thus, you can write

    3x+12= 28.50

    Since 3x represents the payment of pumpkins and the value 12 is the difference between the total of Ava´s money and the total cost of pumpkins.  

    Therefore, the answer to question 1 is the letter D ( 3x+12= 28.50)

   2) Question 2

As you know the equation that represents the problem, for solving this question you need to find the value of x.

    3x+12= 28.50

     3x=28.5-12

    3x=16.5

      x=16.5/3

      x=5.5 (letter B)

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Answer:

4th graph (in bottom right corner)

Step-by-step explanation:

First, convert the given equation into slope-intercept form.

Given :-

1/2x - 2y > -6

-2y > -1/2x - 6

2y < 1/2x + 6

y < 1/4x + 3

As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.

The correct option is the 4th graph (in bottom right corner)

Answer:

6 teaspoons of sugar.

Step-by-step explanation:

9cups/3cups=3 2tsp*3=6tsp

Answer:

4

Step-by-step explanation:

5 x 0.32 = 1.6

3 x 0.8 =  2.4

2.4 + 1.6 = 4

Answer:

C. \(F(x) = -x^2 - 3\)

Step-by-step explanation:

The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.

This makes "C," the correct answer, as it fulfills these requirements.

Answer:

X=2

Step-by-step explanation:

If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5)  which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

what is the Question

Step-by-step explanation:

Answer:

4476966756TTTVFD

Step-by-step explanation:

Answer:

The value of h+k is;

Explanation:

Given the equation;

Solving to derive the center of the function;

Simplifying;

Dividing through by -3969;

So;

Therefore, the value of h+k is;

Answer:

600

Step-by-step explanation:

Because the tens digit is less than 5, round down to 600

Answer:

a) 20 male fish

b) 9 female fish died

Step-by-step explanation:

total 50 gold fish that means 100%

so 1% means 0.5

then 60% means 0.5 x 60 = 30 female fish

after 30% female fish died from the 60% it becomes

\(30*\frac{30}{100} = 9\)

so it becomes 9 female fish now

a) ealier we had 30 female fish then the male fish are 20
b) ealier we had 30 female fish and from that 9 died

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Gender Blue _ Brown _ Green _ Hazel _ Total

Male __ 370 _ 352 ___ 198 ___ 187 ___ 1107

Female_ 359 _ 290 ___ 110 ___ 160 ___ 919

Total __ 729__ 642 ___ 308 __ 347___ 2026

P(F) - probability of female

P(A) - Probability of blue

P(B) - Probability of brown

P(C) - Probability of green

P(D) - Probability of hazel

A. Calculate both P(F) and P(C).

P(F) = total Females /total number of students

P(F) = 919 / 2026 = 0.454

P(C) = total number of green eye / total students

P(C) = 308 / 2026 = 0.152

B. Calculate P(FnC). Are the events F and C independent? Why or why not

P(FnC) = number of green-eyed female / total students

P(FnC) = 110 / 2026 = 0.054

For independent event :

P(F) * P(C) = P(FnC)

0.454 * 0.152 = 0.069

P(FnC) = 0.054

Hence, P(F) * P(C) ≠ P(FnC) ; hence event aren't independent

C. If the selected individual has green eyes, what is the probability that he or she is a female?

P(F|C) = P(FnC) / P(C)

P(F|C) = (110 / 2026) ÷ (308/2026)

P(F|C) = 110/2026 * 2026/308

P(F|C) = 110/308 = 0.357

D. If the selected individual is female, what is the probability that she has green eyes?

P(C|F) = P(FnC) / P(F)

P(C|F) = 110/2026 ÷ 919/2026

P(C|F) = 110/2026 * 2026/919

P(C|F) = 110/919

= 0.121

a) the initial condition as 0 kg sugar in the tank at time = 0 (pure water)

b) with the net rate of change the amount of sugar after t minutes is S(t) = 236.8 [1 - e (t/740)]

c) time goes to infinity, the amount of sugar in is 236.8 kg.

a) Let A(t) denote the amount of sugar in the tank at time. The tank starts with only pure water, so A(0) = 0 OR you can say that you give the initial condition as 0 kg sugar in the tank at time = 0 (pure water)

b) Sugar flows in at a rate of (0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min and flows out at a rate of (A(t)/1080 kg/L) * (7 L/min) = 7A(t)/1080 kg/min, so that the net rate of change of is governed by the ODE, multiply both sides by the integrating factor  to condense the left side into the derivative of a product, if t = time and S(t) is the amount of sugar in the tank as a function of time, then the equation that we get is S(t) = 236.8 [1 - e (t/740)]

c) As t---> ∞, the exponential term converges to 0 and we're left with the means when time goes to infinity, the amount of sugar in is 236.8 kg.

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Answer:

79x81 = 6399

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the two lines mean absolute value.  The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6

if that makes sense :)

Answer:75.6

Step-by-step explanation:

Answer:

Shade 6

Step-by-step explanation:

There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.

Answer: 37 miles

Step-by-step explanation: we just need to add the 3 miles to the 34 miles she walked so basically we just need to do 34 + 3 = 37 hope this helps yall out

The true similarity statement are using Right Triangle Altitude Theorem :

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

By the Right Triangle Altitude Theorem,

If the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then the triangles formed by the division are similar to each other and both are similar to the original triangle.

Using this,

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Hence the true statements are ΔABD similar to ΔBCD, ΔABC similar to ΔADB, ΔABC similar to ΔBDC.

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The complete question is given below.

The function N for d days of both rumors are N(d) = 2 + 5d and N(d) = 2(3)^d

Here, the number of students are the students that start the rumor i.e. Susanna and Liz

So, we have

For the Justin Beiber rumor, the rumor spreads at a linear rate of 5 per day

So, we have

JB day 2 = 2 + 5(2) = 7

For the Rihanna rumor, the rumor spreads at an exponential rate of 3

So, we have

Rihanna day 2 = 2 * (3)^2 = 18

Using the functions, we have

JB

2 + 5x = 32 students

5x = 30

x = 6 days

Rihanna

2(3)^x = 162 students

3^x = 81

x = ln(81)/ln(3)

x = 4 days

JB

N(d) = 2 + 5d

Rihanna

N(d) = 2(3)^d

So, we have

d          JB          Rihanna

0           2           2

1           7           6

2          12           18

3           17           54

4           22           162

5           27           486          

6           32           1458

7           37           4374

8           42           13122

9           47           39366

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(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

Concept: Inverse Functions

Answer:

4 cupcakes

Step-by-step explanation:

Answer:

4

cupcakes

Step-by-step explanation:

This is because it says the cupcakes are 3$ each. if you buy 7 items for 15$

3x4=12.

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

1/3

Step-by-step explanation:

2 1/5 divided by 6 3/5 = 1/3

Answer:

3.6666...

Step-by-step explanation:

2 \(1/5\)=11/5

11/5=2.2

2.2 divided by 3/5

=3.666666666...

Hope this helped! :)

The approximate perimeter of the right triangle is 57.89 cm.

To find the perimeter of the right triangle, we need to know the lengths of the other two sides.

Let's use the Pythagorean theorem, which asserts that the hypotenuse (the longest side) of a right triangle has a square whose sum is equal to the squares of the other two sides.

In this case, we know the length of the hypotenuse is 24 cm and the height (one of the other sides) is 16 cm. Let's call the third side x.

So we have:

\(24^2 = 16^2 + x^2\)

Simplifying, we get:

\(576 = 256 + x^2\)

Subtracting 256 from both sides, we get:

\(320 = x^2\)

Taking the square root of both sides, we get:

x ≈ 17.89

So the approximate perimeter of the triangle is:

P = 24 + 16 + 17.89 ≈ 57.89 cm

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