Hattie has 2 red toys and 3 blue toys. What is the probability she will play with a blue toy?

3/5

3/4

2/5

1/2

1) As the inequality is:

2) And examining the options, we can state that:

You cannot divide by zero

Since this is a mathematical undefinition, to have zero as the bottom number

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.

Based on the previous week's data, the percentage of customers who paid with cash is (76/122)*100 = 62.3%. If we assume that this percentage will remain constant for the next week, then we can estimate that out of 200 customers, approximately 62.3% will pay with cash.
To calculate this, we can use the proportion:
(76/122) = (x/200)
where x is the number of customers we expect to pay with cash next week.
Solving for x, we get:
x = (76/122)*200 = 124.59
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.

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Answer:

1/10 is the simplest form of the fraction

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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Answer:

what is the figure i  can kindly help if the figure was there i will edit this message and give the answer after i see the figure

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

0.2(48)

Step-by-step explanation:

20/100=0.2

Answer:

0.2(48)

Step-by-step explanation:

just took the test

Answer:

14

Step-by-step explanation:

(3)^2 + 4(3) - 7

9 + 12 - 7

21 - 7

14

Answer:

18

Step-by-step explanation:

AC=AB

BC^2=AB^2+AC^2

162+162=324

Square root of 324 is 18.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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Answer:

y = -12

Step-by-step explanation:

-7/3y - 2/9 = 1/3

cross multiple for 1/3:

-21/3y - 6/9 = 1

cross multiply for 3y and 9:

-21 - 6 = 3y + 9

3y + 9 = -27

3y = -36

y = -12

The ordered pair is in the solution set of -1.25x - 5y < 2.5 is (-1, 0) and (-1,0)

The function of -1.25x - 5y < 2.5

(A) (-4, 0.5)

The value of x  = -4

The value of y = 0.5

-1.25(-4) - 5(0.5) < 2.5

5 - 2.5 < 2.5

2.5 < 2.5

Not true

(B) (1.5, 2)

The value of x  = 1.5

The value of y = -2

-1.25(1.5) - 5(2) < 2.5

-1.875 + 10  < 2.5

8.125 < 2.5

Not true

(C) (-1, 0)

The value of x  = -1

The value of y = 0

-1.25(-1) - 5(0) < 2.5

1.25 < 2.5

True

(D) (0,-1)

The value of x  = 0

The value of y = -1

-1.25(0) - 5(-1) < 2.5

+5 < 2.5

Not true

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Answer:

4 is the answer

Answer:

4 is the answer I believe

As given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is  sin A = 3/5.

As given in the question,

In triangle ABC,

∠C  = 90°

Side a is opposite to angle A

c is the hypotenuse opposite to angle C

a = 6

c = 10

sin A = ( opposite side) / Hypotenuse

⇒sin A = a/c

⇒sin A = 6/10

⇒sin A = 3/5

Therefore, as given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.

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ANSWER

a) 18 students per teacher

b) 9 tutors

EXPLANATION

We have that the Arts Academy:

=> requires 4 teachers for every 72 students

=> 3 tutors for every 27 students

a) To find how many students are need per teacher, we have to divide the number of students by the number of teachers.

That is:

72 / 4 = 18 students per teacher

b) To find the number of tutors needed by the Academy, we have that:

3 tutors = 27 students

x tutors = 81 students

Cross multiply:

x * 27 = 3 * 81

=> x = 243 / 27

x = 9

Therefore, 9 tutors are needed for 81 students.

Answer:648

Step-by-step explanation:

V=a2h

3=92·24

3=648

Answer:

648 in.^3

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(9 in.)^2(24 in.)

V = 648 in.^3

Answer:

false

Step-by-step explanation:

A negative number divided by a negative number results in a positive number.

Answer:

D

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf -1 \frac{7}{8} }\)

Step-by-step explanation:

-1.875

Since there are 3 digits after decimal point, we will omit the decimal point by putting a 1000 in the denominator ( 1000 has 3 zeroes just as there were 3 digits after the decimal point.)

So, It'll become:

= \(\sf -1 \frac{875}{1000}\)    [Dividing by 125 as it is it's GCF]

= \(\sf -1 \frac{7}{8}\)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

First?

Step-by-step explanation:

its trickyyyy for the first and the last

The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

The equation for any horizontal asymptotes is (c) The function has no horizontal asymptotes.

From the question, we have the following parameters that can be used in our computation:

f(x) = 3x² + 4x+2

The above function is a quadratic function

As a general rule, quadratic functions do not have asymptotes

This means that the correct option is (c) The function has no horizontal asymptotes.

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Answer:

25

Step-by-step explanation:

a2+b2=c2

3^2+4^2=c^2

9+16=25

25^2=625

Sqrt of 625 = 25

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 4² + 3² = 16 + 9 = 25 ( take the square root of both sides )

x = \(\sqrt{25}\) = 5

Answer:

2

Step-by-step explanation:

because the tree you must have more red balls than blue

Answer: -150

Step-by-step explanation: The result of a multiplication problem is called the product so we know that we will be multiplying here.

When multiplying integers, if the signs

are different, the product is negative.

So a positive times a negative always equals a negative.

Therefore, (+25) · (-6) is -150.

Answer: -150

Step-by-step explanation: took the unit test on edge

Answer:

Step-by-step explanation:

a/b=7/5

a=7b/5

a+b=36, using 7b/5 for a we have

7b/5+b=36

7b/5+5b/5=36

12b/5=36

12b=180

b=15, and since a=7b/5

a=7(15)/5

a=21

So the numbers are 21 and 15

Answer:

C is the correct answer please like for more