Katya is baking cookies that require 8 1/2 grams of vanilla paste per batch. She has 22 1/5 grams of vanilla paste. How many batches of cookies can she bake?

Answer:

The lateral edge is [tex]7\ in[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6b^{2}[/tex]

where

b is the length side of the cube

we have

[tex]SA=294\ in^{2}[/tex]

substitute in the formula and solve for b

[tex]294=6b^{2}[/tex]

[tex]b^{2}=294/6[/tex]

[tex]b^{2}=49[/tex]

[tex]b=7\ in[/tex]

Answer:

7

Step-by-step explanation:

294/6 = 49

square root of 49 is 7

To simplify 4(6r+3) + 2(r + 2), distribute the coefficients, combine like terms, resulting in the simplified expression 26r + 16.

To simplify the expression 4(6r+3) + 2(r + 2), we need to distribute the multiplication over the addition inside the parentheses and then combine like terms.

Distribute the 4 into the first set of parentheses: 4 × 6r = 24r and 4 × 3 = 12.

Do the same with the 2 into the second set of parentheses: 2 × r = 2r and 2 × 2 = 4.

Now, combine the individual terms: The expression becomes 24r + 12 + 2r + 4.

Combine like terms (24r and 2r) and constants (12 and 4): 24r + 2r = 26r and 12 + 4 = 16.

The simplified expression is therefore 26r + 16.

Answer:

C.Ralph would save more, since he has $30,000 more in principal

Step-by-step explanation:

The amount of interest each will pay (or save) on his loan is proportional to the amount of principal. Since Ralph's principal of $98000 is more than David's principal of $68000, Ralph will save more by paying off the loan early.

#1 : reflected over y-axis, so x changes signs and becomes negative (-5, -2)

translated 4 units up, so move the point up 4 units/squares  (-5, 2)

#2 translated right 10 units, so the points move right 10 squares (15, -2)

reflected over x-axis, so y changes signs (15, -2)

#3 translated left 10 units (-5, -2)

up 4 units (-5, 2)

#4 reflected over the y -axis (-5, -2)

translated down 4 units (-5, -6)

Answer:

1 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 (10)

5 (13)

6 (16)

7 (19)

Answer:

On the first picture

1 goes to 16.

2 goes to 13

3 goes to 10

4 goes to 19

On the second picture

1 goes to 9

2 goes to 11

3 goes to 13

4 goes to 15

Answer:

the answer is c

Step-by-step explanation:

Probability is the ratio of the favorable event to the total number of events. Then P(A|B) is 0.40.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

This Venn diagram shows sports played by 10 students.

Let event A = The students play basketball.

Let event B = The student plays soccer.

Then the probability of the will be

[tex]\rm P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(A|B) = \dfrac{\dfrac{2}{10}}{\dfrac{5}{10}}\\\\\\P(A|B) = \dfrac{2}{5} = 0.40[/tex]

Thus, P(A|B) is 0.40.

More about the probability link is given below.

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A nine cubic millimeters

The volume of a cube with each dimension being 3 mm is obtained by multiplying the length, width, and height which results in 27 cubic millimeters. So the correct answer is C) 27 cubic millimeters.

To solve for the volume of a cube, the formula Volume = Length x Width x Height is used. In the case given, all three dimensions (length, width, and height) are 3 mm. This results in Volume = 3 mm x 3 mm x 3 mm which simplifies to 27 cubic millimeters.

Hence, the correct option is C) 27 cubic millimeters.

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Answer:

The last option choice [(1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

The key idea to understand in a function/relation is that each input can only have one output. Inputs are your x-variables and outputs are your y-variables.

In the first relation, you see the two points (3,4) and (3,5). 3 is your input [since its x] , however, it gives you two outputs [y's], 4 and 5. So you can cross out the first option.

In the second relation, look at the points (3,4) and (3,3). Again, both have the same input 3, but different outputs, 4 and 3. So you can cross out the second option.

In the third relation, look at all of the points. They all share a common input, 1, but different outputs, 2, 3, 4, and 5. So you can cross out the third option too.

Lastly, look at the last relation. They all have different inputs but the key thing to look at here is that each input only has one corresponding output. Thus, this is the right answer.

I hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok so first we need to look and rule out the ones that are not correct like 9m and 5m. ok now we ruled out 2 of the wrong ones and now we have 90m and it looks like a 45m. now we multiply 5 x 2 x 9 which equals 90. so the answer is 90.

                        Hope it helps!

Answer:

45

Step-by-step explanation:

with triangles you have to do base times height and divide by 2 so 5*9*2=90 and 90 divided by 2 is 45

Answer:

12

Step-by-step explanation:

12 is the lowest common denominator here.  Both 4 and 6 divide evenly into 12 with no remainder.

Answer:

x = -10

Step-by-step explanation:

-3/4 (x+2) = 6

Multiply each side of the equation by -4/3 to clear the fraction

-4/3 *-3/4 (x+2) = 6*-4/3

(x+2) = 2*-4

x+2 = -8

Subtract 2 from each side

x+2-2 = -8-2

x=-10

The equation x = 3 represents a vertical line, but not a linear function, as it violates the definition of a function. Thus, the correct choice is D.

The equation x = 3 describes a vertical line passing through the point where x equals 3 on the coordinate plane.

While it represents a line, it fails to meet the criteria of a function because it violates the one-to-one mapping between inputs (x-values) and outputs (y-values).

For every value of x, the y-value remains constant at 3, meaning multiple x-values map to the same y-value, thus failing the vertical line test for functions.

Therefore, although it represents a line, it does not represent a linear function. Thus, the correct choice is D.

Complete Question:

Which statement best describes the equation x = 3?

A. The equation can not be graphed.

B. The equation represents a function, but not a linear function.

C. The equation represents a linear function.

D. The equation represents a line, but not a linear function.

Answer:

a = 70°

Step-by-step explanation:

a and 110 form a straight angle, thus

a + 110 = 180 ( subtract 110 from both sides )

a = 70°

Answer:

a =70

Step-by-step explanation:

Angle a and 110 are supplementary, which means they add to 180 degrees

a+ 110 = 180

Subtract 110 from each side

a+110-100=180-110

a = 70

Answer:

pi*486mm ^3

Step-by-step explanation:

The equation of a hemisphere is half of that of a sphere, therefore it is 2/3pi*radius^3

We must calculate radius, which is just diameter/2 so 18/2 or 9

We can remove pi, as you want this measured in pi cubic millimeters.

this leaves us with (2/3)*9^3 which is 486cm

Henceforth, the final answer is pi*486 cubic millimeters.

Answer:

Answer is C on Ed

Step-by-step explanation:

Answer:

a) Irrational

b) Rational

c) Rational

d) Rational

e) Irrational

f) Irrational

Step-by-step explanation:

a) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal.

b) It is a terminating decimal

c) It is a fraction

d) It is a integer

e) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal

f) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal

Answer:

narrower than and opens in the same direction as

Step-by-step explanation:

Answer:

narrower than and opens in the same direction as

Step-by-step explanation:

The graph of y = 5x2 is narrower than and opens in the same direction as the graph of y = x2.

First, let's get out common denominators.

8/12 and 3/12.

We then minus the 8 and 3 = 5/12.

We have 5/12.

That's your answer.

Answer:

2in

Step-by-step explanation:

Let's call the original side "x". so x² (area of a square) is = x² (as we can't simplify it). Then we got a 4 added to each side. So now we redefine each side as "x+4". So now we can make an equation of the area of the square. x² + 4² = 36. Now you realize that 36 is 6² so you write it. x² + 4² = 6² . Since everything is now a square just square root everything (√) So Now x + 4 = 6. Now you have a 1st degree equation now solve simple math. x = 6 - 4 = 2. The side of original square is 2in

Answer:

in april

Step-by-step explanation:

Keep track of every 1, 2, 3, or 4 rolled in 30 rolls and repeat this process 100 times to represent the days the temperature is above 80°F in June.

The BEST way to perform the simulation in this scenario would be to keep track of every 1, 2, 3, or 4 rolled in 30 rolls, as these represent the number of days the temperature is above 80°F in June. Repeat this process 100 times.

By simulating the number of days the temperature is above 80°F in June for 30 rolls and repeating it 100 times, you will obtain a larger sample size and a more accurate estimate of the probability. This approach allows for more data points and reduces the impact of random variations that can occur in smaller sample sizes.

Therefore, option 3 is the best way to perform the simulation: Keep track of every 1, 2, 3, or 4 rolled in 30 rolls and repeat this process 100 times to represent the days the temperature is above 80°F in June.

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ANSWER

Mel followed the right direction.

EXPLANATION

Pat's trinomial is;

[tex] {x}^{2} + 3x - 10[/tex]

There are factors of -10 that sums up to 3.

[tex]5 + - 2 = 3[/tex]

Hence this trinomial could be factored into (x-2)(x+5)

Sam's trinomial:

[tex] {x}^{2} + x - 12[/tex]

There are factors of -12 that sums up to 1.

4+-3=1

[tex] {x}^{2} + x - 12 = (x + 4)(x - 3)[/tex]

Mel's trinomial:

[tex] {x}^{2} + 2x - 1[/tex]

There are no factors of -1 that sums to 2.

This trinomial cannot be factored.

Lee's trinomial:

[tex] {x}^{2} + 2x - 3[/tex]

There are factors of -3 that sums up to 2

3+-1=2

[tex] {x}^{2} + 2x + 3 = (x + 3)(x - 1)[/tex]

Answer:

The range of a function is the set of all possible output values.

Answer: any numbers along the x axis

Step-by-step explanation:

Answer:

[tex]A=34\ units^2[/tex]

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

[tex]A = 30\°\\\\B = 45\°\\\\b = 10[/tex]

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

[tex]A + B + C = 180\\\\30 + 45 + C = 180[/tex]

We solve the equation and thus we find the angle C.

[tex]C = 180 - 30-45\\\\C = 105[/tex]

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then

[tex]\frac{sin(30)}{a}=\frac{sin(45)}{10}[/tex]

[tex]\frac{sin(30)}{\frac{sin(45)}{10}}=a[/tex]

[tex]a=7.071[/tex]

Also

[tex]\frac{sin(105)}{c}=\frac{sin(45)}{10}[/tex]

[tex]\frac{sin(105)}{\frac{sin(45)}{10}}=c[/tex]

[tex]c=13.660[/tex]

Finally, we use the Heron formula to calculate the triangle area

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is:

[tex]s=\frac{a+b+c}{2}[/tex]

Therefore

[tex]s=\frac{7.071+10+13.660}{2}[/tex]

[tex]s=15.37[/tex]

[tex]A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}[/tex]

[tex]A=34\ units^2[/tex]

Answer:

5 miles per hour

Step-by-step explanation:

You divide 15/3 and get 5.

Answer:

5 miles per hour

Step-by-step explanation:

To determine how fast he can run per hour, take the miles and divide by the number of hours

15 miles / 3 hours

5 miles per hour

The answer choice is D because sin7pi/6 which it’s exact form is -1/2 the only answer choice which the same exact form is D.

For this case we must find an expression equivalent to:

[tex]Sin (\frac {7 \pi} {6})[/tex]

According to the unit circle, [tex]\frac {7 \pi} {6}[/tex] is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

[tex]Sin (210) = - \frac {1} {2} = - 0.5[/tex]

We have to:

[tex]\frac{11 \pi} {6}[/tex]

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

[tex]Sin (330) = - \frac {1} {2} = - 0.5[/tex]

Answer:

Option D

Answer:

x^(4)+2x^(2)y^(2)+y^4)

Hope This Helps!  Have A Nice Day!!

The binomial expansion of (x²+y²)² is x⁴ +y⁴ + 2x²y²

The theorem states that any power of a binomial (a + b)ⁿ can be expanded as a specific sum of products (), such as (a + b)² = a² + 2ab + b².

Given

The given expression is (x² + y²)² and we have to simplify it to find the binomial expansion.

(x ²+ y²)² is in the form of (a + b)².

When we expand (a + b)² we get the binomial expression

(a + b)² = a² + b² + 2ab

Now we put the value of a = x² and b = y²

(x² + y²)² = (x²)² + (y²)² + 2(x²)(y²)

              = x⁴ + y⁴ + 2x²y²

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Answer: Consistent

Step-by-step explanation:

When given a system of equations, the definitions of the solution are:

In the given graph, the lines intersect and have exactly ONE solution --> The system is Consistent and Independent.

Answer:

x > -5

Step-by-step explanation:

-5(x+7)<-10

Divide each side by -5.  Remember to flip the inequality

-5/-5(x+7)>-10/-5

x+7 > 2

Subtract 7 from each side

x+7-7>2-7

x > -5

Answer:

Step-by-step explanation:

The perimeter is the arc length plus the two radius lines.

Arc length is:

s = (θ/360) 2πr

So the perimeter is:

P = (θ/360) 2πr + 2r

Given that θ=135 and r = 11:

P = (135/360) 2π(11) + 2(11)

P = 8.25π + 22

P ≈ 47.9

So the perimeter is greater than 47.5 cm.