Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made
70 sandwiches in all, 60% of which were turkey. How many turkey sandwiches did the cafeteria
make?
turkey sandwiches

Plis answers

Call the number : a

We have : \(a^{2} - 15 = 2a\)
\(- > a^{2} - 2a = 15 - > a(a-2) = 15\)

Now, we list all the numbers that can be multiplied to get 15 :

1 x 15 (and reverse)
3 x 5 (and reverse)

-1 x (-15) (reverse)
-3 x (-5) (a l s o r e v e r s e)

We substitute in :

If a = 1 -> a(a-2) = 1 x (-1) = -1 (not equal 15)
If a = 3 -> a(a-2) = 3 x 1 = 3 (not equal 15)
If a = -1 -> a(a-2) = -1 x (-3) = -3 (also not equal 15)
And if a = -3 -> a(a-2) = -3 x (-5) = 15 (satisfied)

So, the number is -3

Recheck : -3(squared) - 15 = 9 - 15 = -6
Twice of -3 = -6

\(========================================\)

First of all, let the unknown number be z.

Then, "the square of z" means "z squared" which is the same as "z times z" or just z².

Now, "fifteen less than the square of z" means we subtract 15 from z²:

z²-15

Then, this equals twice the number, or 2 times z:

z²-15=2z

\(========================================\)

:-)

There will be 2216 square cm of the painted surface on the box, which is completely covered with paint.

For the calculate of the area of rectangles:

Area = length * breadth

So, Outer area.

A1 = 2*16*10 + 2*24*10 + 1*16*24

A1 = 1184 sq.cm

Inner area:

A2 = 2*14*9 + 2*22*9 + 1*14*22

A2 = 956 sq. cm

Top area:

A3 = 16*24 - 14*22

A3 = 76 sq. cm

Complete area A = 1184 + 956 + 76

A = 2216 sq. cm

Thus, there will be 2216 square cm of the painted surface on the box, which is completely covered with paint.

To know more about the total surface area, here

https://brainly.com/question/16997207

#SPJ4

Answer:

A and B are independent events

Step-by-step explanation:

Here, we want to know if both events are dependent or independent

If both are independent;

Then;

P( A nB) = P(A) * P(B)

In this case, that will be;

0.65 * 0.76 = 0.494

Since what we have is the same as what was given in the question, then we can conclude that both are independent events

Answer:

both are independent

Step-by-step explanation:

The equation of line that passes through (4,2)

3x-4y-4 = 0

A line is a geometry object characterized under zero width object that extends on both sides. An straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called an straight line.

Given,

Line l₁ passes through point (4,2)

Equation of the line l₁ passing through a point (x', y') ≡ (4, 2), if its slope is m₁:

y-y' = m₁(x-x')

y-2 = m₁(x-4)     --------- (a)

Line l₂ passes through the points (x₁, y₁) ≡(-2,2) and (x₂, y₂) ≡ (2,5)

Slope of line l₂ (m₂) = (y₂-y₁)/(x₂-x₁)

⇒m₂ = (5-2)/(2-(-2))

⇒m₂ = 3/4

since l₁ and l₂ are parallel

then slope of l₁ will be equal to l₂

⇒ m₁ = m₂

⇒ m₁ = 3/4

Putting value of m₁ in equation (a)

y-2 = 3/4(x-4)

⇒ 4y-8 = 3x-12

⇒ 4y+4 = 3x

⇒ 3x-4y-4 = 0

Hence, the equation of straight line is 3x-4y-4 = 0.

Learn more about straight line here:

https://brainly.com/question/29223887

#SPJ1

Total investment in the sinking fund compounded monthly will be $277.97

What is sinking fund?

A sinking fund may be a fund that an organization could place the money into from currently on to form their debt repayments easier. the foremost common example may be a bond fund employed by corporations to manage their debt.

Main body:

total money to accumulate = $46000

time = 9 years

rate = 9%

formula for sinking fund:

Contribution = Money to accumulate * (interest / ((interest + 1)compound frequency * period - 1))

investment = 46000((9/10) ^(12*8) - )

investment to be made = $277.97

Hence contribution every month is $277.97

To know more about sinking fund , visit:

https://brainly.com/question/10709829

#SPJ4

Answer: Jessica ate 3/10 of the pizza

Step-by-step explanation:

We know that combined, Lulu and Jessica ate 7/10 of a pizza. Since we are given that Lulu at 4/10 of the pizza, we subtract 4/10 from 7/10. Because the denominators are the same, we can easily subtract without any extra step. 7/10 - 4/10 = 3/10

Answer:

ll

Step-by-step explanation:

bye

SOLUTION

The solution to the questions is obtained from the interpretation of the graph.

Consider the image of the graph given

From the diagram above, the cost to get into a red cab is when the miles is at zero which is the y-intercept

From the graph above, the cost of getting into a red cab is

Hence

1). The cost to get into a red cab is $ 2

For the red cab, we use the red line

The slope of the red line is obtained by

Hence

2). The cost per mile for a red cab is $2 per mile

The equation of the line in slope and intercept form is given by

Since

Then, the required equation is

Therefore

3). The equation in slope-intercept form that relates the cost to the miles travelled for a red carb is C = 2t + 2

The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

To know more about the mutually exclusive event, click on the link

https://brainly.com/question/27588497

#SPJ1

Answer:

27/30

Step-by-step explanation:

yepyffghhhhgghjj

Answer:

9/10 or 0.9

Step-by-step explanation:

When adding fractions, you look at each of them as an equal number, or a whole.

25+36

91

So, now all we have to do is convert it to it's closest form. (In tenths, since we are adding tenths.)

90

And it would be 9/10, or 0.9

Hope this helps!

Answer:

i believe its D

Step-by-step explanation:

The value of the given integral is 152/3.

The given integral is,¹³√16 - (x - 9)² dx

Let us substitute (x - 9) = 4u.

Then x = 4u + 9

dx/dt = 4du/dt

So, the given integral becomes:

∫(¹³√16 - 16u²)(4 du/ dt) du

On solving this, we get,

∫¹³√16 × 4du - ∫16u² × 4du

Now, as there are no limits of the integral, we take the limits as 0 to 1 in the above expression.

∫¹³√16 × 4du - ∫16u² × 4du[∵ (x - 9) = 4u]

Now, substituting the limits in the integral we get,

∫¹³√16 × 4du - ∫16u² × 4du [u = 0 to u = 1]

= [(¹³√16) × (4u)]0¹ - ∫0¹ 16u² × 4du

Now, substituting the values of the limits we get,

(¹³√16) × 4 - ∫0¹ 16u² × 4du

= 52 - (4/3)[u³]0¹ [∵ 16 × 4/3 = 64/3]

Thus, the value of the given integral is:

52 - (4/3)[u³]0¹ = 52 - (4/3) × 1³

= 52 - (4/3)

= 156/3 - 4/3

= 152/3

Therefore, the value of the given integral is 152/3.

To know more about integral visit:

https://brainly.com/question/31433890

#SPJ11

The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The probability that at least one calculator will be defective is 0.7305.

The probability that at least one of the calculators is defective can be calculated using the formula:

P(at least one defective calculator) = 1 - P(no defective calculator)

The probability of selecting a defective calculator from the group of defective calculators is 16/46.

Since the calculators are selected randomly, the probability of selecting a non-defective calculator is 30/46.

Therefore, the probability of selecting 4 non-defective calculators from the group of 46 calculators is:

30/46 × 29/45 × 28/44 × 27/43 = 0.2695 (rounded to 4 decimal places)

Using the formula above, we can calculate the probability that at least one calculator will be defective:

P(at least one defective calculator) = 1 - P(no defective calculator)P(no defective calculator)

                                                         = 1- 0.2695 P(at least one defective calculator)

                                                         = 1 - 0.2695

                                                         = 0.7305

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The value of the iterated integral after changing to cylindrical coordinates is 32π.

The iterated integral can be evaluated by changing to cylindrical coordinates. The given integral is ∫∫∫(2, 0, √(4 - y²), 0, 16 - x² - y², 1) dz dx dy.

To change to cylindrical coordinates, we need to express the variables x, y, and z in terms of cylindrical coordinates. In cylindrical coordinates, we have x = rcosθ, y = rsinθ, and z = z.

The limits of integration also need to be converted. The limits for z remain the same (0 to 1), while the limits for x and y are determined by the region of integration in the xy-plane. The region is defined by 0 ≤ x² + y²≤ 16.

Converting the integrand and limits of integration, the integral becomes ∫∫∫(2, 0, 2π, 0, 4, 0, 16 - r², 1) r dz dr dθ.

Simplifying the integrand and integrating, we have ∫[0,2π] ∫[0,4] ∫[0,16-r^2] 2r dz dr dθ.

Integrating with respect to z gives ∫[0,2π] ∫[0,4] (2r) (1-0) dr dθ.

Further simplifying, we have ∫[0,2π] ∫[0,4] 2r dr dθ.

Integrating with respect to r gives ∫[0,2π] [(r^2)|[0,4]] dθ.

Evaluating the limits, we get ∫[0,2π] (16) dθ.

Finally, integrating with respect to θ gives (16θ)|[0,2π].

Evaluating the limits, we have (16(2π) - 16(0)) = 32π.

Therefore, the value of the iterated integral after changing to cylindrical coordinates is 32π.

To know more about  cylindrical coordinates, refer here:

https://brainly.com/question/30394340#

#SPJ11

False, the null distribution is the distribution of the test statistic assuming the null hypothesis is true; it is mound-shaped and symmetric about the null mean.

The null distribution is the distribution of the test statistic under the assumption that the null hypothesis is true. However, its shape and symmetry are not necessarily predetermined.

The null distribution can take various forms depending on the specific test and the underlying data. It may or may not be mound shaped or symmetric about the null mean. The shape and characteristics of the null distribution are determined by the specific hypothesis being tested, the sample size, and other factors.

Learn more about null distribution at

https://brainly.com/question/31692159

#SPJ4

Step-by-step explanation:

age of lilly=8

age of brother=8-5=3

age of sister=2×8

=16

Therefore lilly age is 8

her brother's age is 3 (Tommy)

and her sister's age is 16 (Claire)

hope this helps

Answer

Tommy is 3 and Claire is 16

Step-by-step explanation:

8-5=3 (Tommy's age)

8x2=16 (Clarie's age)

We have shown that the boundary of a generalized rectangle is the union of finitely many closed generalized rectangles with volume zero.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Let A and B be two sets in a generalized rectangle R, i.e., R = A x B. The boundary of R, denoted by bd(R), is defined as the closure of the set of points that are not in the interior of R. In other words, bd(R) = cl(R) \ int(R), where cl(R) is the closure of R and int(R) is the interior of R.

To show that bd(R) is the union of finitely many closed generalized rectangles with volume zero, we first note that the closure of R can be expressed as the union of R and its boundary, i.e., cl(R) = R ∪ bd(R). Therefore, it suffices to show that R can be expressed as the union of finitely many closed generalized rectangles with volume zero and that bd(R) can also be expressed as the union of finitely many closed generalized rectangles with volume zero.

Let (a,b) be a point in R. Then there exists an open ball B((a,b), r) around (a,b) that is contained in R, where r > 0. Without loss of generality, we can assume that r is small enough so that B((a,b), r) is a generalized rectangle. Since B((a,b), r) is open, it follows that int(R) is the union of all such generalized rectangles. Therefore, R can be expressed as the union of finitely many closed generalized rectangles with volume zero, namely the closures of all such generalized rectangles.

Next, we show that bd(R) can be expressed as the union of finitely many closed generalized rectangles with volume zero. Let (a,b) be a point in bd(R). Then every open ball B((a,b), r) around (a,b) contains points both in R and in the complement of R. By definition of bd(R), the closure of B((a,b), r) intersects both R and the complement of R. Therefore, B((a,b), r) can be expressed as the union of two closed generalized rectangles, one contained in R and one contained in the complement of R. It follows that bd(R) can be expressed as the union of finitely many closed generalized rectangles with volume zero, namely the closures of all such balls B((a,b), r) and their decompositions into closed generalized rectangles.

Therefore, we have shown that the boundary of a generalized rectangle is the union of finitely many closed generalized rectangles with volume zero.

Learn more about rectangle on:

https://brainly.com/question/17065463

#SPJ4

Step-by-step explanation:

vol =πr²h

22/7×8×8×3

= 603.2

Answer:

The answer I got is 603.186=603.2 cm which is B

Step-by-step explanation:

Because V=\(\pi r^2h\)

Height is 3cm The radius is 8cm

Hope this helps

Answer:

Sjhdhdnjsuemshusushdj

Step-by-step explanation:

now yte don't do this because then you will be reported and people really want to learn and STEAL THESE ANSWERS pop it's time for my class brb but don't do this if you don't know the answer don't put it in or you will, be reported. Time for P.E and sorry.

Answer:

asc

Step-by-step explanation:

Answer: X= -2.1667 Y= 13

The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

Know more about the intercept here:

https://brainly.com/question/25722412

#SPJ4

Thus, the volume of solid generated by revolving this region about the y-axis is given as:  54π/7. The correct option is c.

To sketch the region, we first plot the curves on the coordinate plane.

The curve x=3y^3 is a parabola that opens to the right and passes through the origin. The curve x=3 is a vertical line that intersects the parabola at y=∛(1/3).

The curve y=0 is just the x-axis.

Now, to find the volume of the solid generated by revolving this region about the y-axis, we use the method of cylindrical shells.

We integrate from y=0 to y=∛(1/3) because those are the limits of integration for the region we are revolving.

The radius of each cylindrical shell is just the value of x at that y-coordinate, which is x=3y^3. The height of each cylindrical shell is the length of the curve, which is just 3 (the length of the vertical line).

Thus, the volume is given by:

V = ∫0^(∛(1/3)) 2π(3y^3)(3) dy
V = 54π/7

Therefore, the correct option is (c) 54π/7.

Know more about the parabola

https://brainly.com/question/64712

#SPJ11

Answer: X

Step-by-step explanation:

Answer:

Rory rode 1.55 miles each day

Step-by-step explanation:

7.75 divided by 5

Answer:

The answer is 1/2 inches

Step-by-step explanation:

Answer:

1st one is: 1/2m ( c )

2nd one is: 1/2 inch to the right of the vertex ( c )

Step-by-step explanation: