Please help me with this
I would really appreciate it

thank you

Answer: A. 299.5

Step-by-step explanation:

1248 · 24%

1248 · 0.24=299.50

Answer: I x - 16ozI ≤ 0.4oz

Step-by-step explanation:

The weight is supposed to be exactly 16 oz.

But we can accept a maximum error of 0.4oz.

Now, if x is the weight of the sugar bag, the error can be calculated as:

E = x - 16oz

if x is larger than 16oz, we have E positive, which means that we have more sugar than 16oz

if x is smaller than 16 oz, we have E negative, which means that we are a little bit short of sugar in the bag.

Now, we know that the maximum error acceptable is 0.4 oz (negative or positive)

So we can write:

-0.4oz ≤ E ≤ 0.4oz

-0.4 ≤ x - 16oz ≤ 0.4oz

Now, if we apply absolute value to the error, we get:

I x - 16ozI ≤ 0.4oz

So the correct option is the fourth one (or the bottom one)

Answer:

D.)  |x−16|≤0.4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In standard form, an ellipse's major axis is indicated by the [tex]a^{2}, b^{2}[/tex] terms like this:

[tex]\frac{{(y-k)}^{2}}{a^{2}}+\frac{(x-h)^{2}}{b^{2}}, a>b[/tex]

[tex]\frac{{(x-h)}^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}, a>b[/tex]

In the top equation, the vertical axis is primary and in the second the horizontal axis is primary. That's a bit more info than the question asked, but I thought it may be helpful to understand the answer.

Now, a co-vertex is the intersection point between an ellipse and its minor axis. On the graph of the ellipse, the [tex]b[/tex] is the distance from the center to where the ellipse intersects its minor axis, so our answer is A.

If a graphical representation would be helpful, I would take a look at the Math Warehouse article on the Equation of an Ellipse in Standard Form.

Answer:

x= 45

Step-by-step explanation:

In this diagram, there is an angle that is split into 2 angles.

The angle is a 90 degree angle. We know this because of the little square in the corner that denotes a right angle.

Therefore, the 2 angles inside of the right angle must add to 90 degrees. The 2 angles that make up the right angle are x and 45.

x+45=90

We want to find x. We need to get x by itself. 45 is being added on to x. The inverse of addition is subtraction. Subtract 45 from both sides.

x+45-45=90-45

x= 90-45

x=45

The measure of angle x is 45 degrees.

Answer:

Step-by-step explanation

Write an equation for the amount of money, m, that will be collected if C- chocolate bars are sold and L- lollipops. Which is the independent variable and which is the dependent variable?

Answer:

$25.44

Step-by-step explanation:

if they sell for 7.95 and you get 3.2 you do 7.95 times 3.2

Answer:

Answer is 24288.

Step-by-step explanation:

Given that there are 18 senior and 22 junior partners.

To find:

Number of ways of selecting at least one junior partner to form a committee of 3 partners.

Solution:

At least junior 1 member means 3 case:

1. Exactly 1 junior member

2. Exactly 2 junior member

3. Exactly 3 junior member

Let us find number of ways for each case and then add them.

Case 1:

Exactly 1 junior member:

Number of ways to select 1 junior member out of 22: 22

Number of ways to select 2 senior members out of 18: 18 [tex]\times[/tex] 17

Total number of ways to select exactly 1 junior member in 3 member committee: 22 [tex]\times[/tex] 18 [tex]\times[/tex] 17 = 6732

Case 2:

Exactly 2 junior member:

Number of ways to select 2 junior members out of 22: 22 [tex]\times[/tex] 21

Number of ways to select 1 senior member out of 18: 18

Total number of ways to select exactly 2 junior members in 3 member committee: 22 [tex]\times[/tex] 21 [tex]\times[/tex] 18 = 8316

Case 3:

Exactly 3 junior member:

Number of ways to select 3 junior members out of 22: 22 [tex]\times[/tex] 21 [tex]\times[/tex] 20 = 9240

So, Total number of ways = 24288

Answer:

That is correct

Step-by-step explanation:

yes sir you are corret                            

Answer:

See below.

Step-by-step explanation:

A proportion is setting two ratios equal to each other.

Look at the info you are given for price in $ and area in sq ft:

$385 for 70 sq ft

That allows you to write a ratio. The ratio of dollars to square feet is

385/70    (notice it's dollars divided by sq ft)

Now you look at the part of the problem that has an unknown, and you set up the same type of ratio (dollars to sq ft) using x for the unknown.

x dollars to 200 sq ft

The ratio is

x/200     (notice that, again, it's dollars divided by sq ft)

In both cases the ratios are dollars to sq ft.

To set up a proportion, you just set the ratios equal to each other.

385/70 = x/200

Now we solve the proportion. We can cross multiply.

385/70 = x/200

70x = 385 * 200

70x = 77,000

x = 1100

They would charge $1100 to install 200 sq ft of tile.

The unit price is obtained by dividing a cost by the corresponding area in sq ft. you can use either ratio.

unit price = ($385)/(70 sq ft) = $5.5/sq ft

($1100/200 sq ft also works since it is also equal to $5.5/sq ft)

Answer:

Balance after one year will be $5830.

Answer:

616cm²or³

Step-by-step explanation:

SA = 2(lw)+2(lh)+2(hw)

SA=2(10×14) + 2(10×7) + 2(7×14)

SA= 2(140) + 2(70) + 2(98)

SA=280+140+196

SA=616cm²or³

Answer:

The Arctic Warfare Police (AWP) is the law enforcement variant of the series, commonly chambered for 7.62×51mm NATO. The Magnum Sniper Rifle depicted in Counter-Strike is based on the Arctic Warfare Magnum, chambered for . 338 Lapua Magnum.

Answer:

what

Step-by-step explanation:

Answer:

Point W

Step-by-step explanation:

Planes A and B intersect at an angle. Intersection of lines is when two lines meets at a particular point and cuts each other at the same point. Its a measure of perpendicularity for right angles and greater or lesser for others.

At any point W, line m and line n cuts each other at point W to form an angle as shown from the diagram.

Answer:

120 inches long in total becuase 12x10 is 120.

Answer:

The option are incorrect because as its slope is only 5/7 the answer will never come like that.

Step-by-step explanation:

Here,

Given,

The dlope of a line is 5/7 and (6,2) is a point.

By one point formulae,

(y-y1)= m (x-x1).

or, (y-2)=5/7(x-1)

or, y = 5/7x -5/7+2

taking lcm of -5/7 and 2. we get,

or, y= 5/7 x -5+7/7

Therefore, the equation is y = 5/7 x -2/7.

Hope it helps..

Answer:

Step-by-step explanation:

From the information given:

For Adult Men

Mean [tex]\mu[/tex] = 69.5

Standard deviation [tex]\sigma[/tex] = 2.4

observed value X = 74

For Adult Women

Mean [tex]\mu[/tex] = 63.8

Standard deviation [tex]\sigma[/tex] = 2.6

observed value X = 70

Therefore ; the values for their z  scores can be obtained in order to determine who is more unusually tall within his or her respective sex

For Adult Men :

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

[tex]z = \dfrac{74- 69.5}{2.4}[/tex]

[tex]z = \dfrac{4.5}{2.4}[/tex]

z = 1.875

For Adult Women :

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

[tex]z = \dfrac{70- 63.8}{2.6}[/tex]

[tex]z = \dfrac{6.2}{2.6}[/tex]

z = 2.3846

Thus; we can conclude that , the women is more unusually tall within his or her respective sex

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

Answer:

106 km / hour

Step-by-step explanation:

Givens

Total time: 6 hours

Total distance: 1356 km

First bus rate: r

Second bus rate: r - 14

Formula

d = r * t

Solution

r*6 + (r - 14)*6 = 1356             Remove the brackets

6*r + 6*r - 84 = 1356              Add like terms

12r - 84 = 1356                       Add 84 to both sides

12r + 84 - 84 = 1356-84         Combine

12r = 1272                              Divide by 12

r = 1272/12                              

r = 106 km/hr

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

[tex]t \propto y^{1/2}[/tex]

[tex]t = k\cdot t^{1/2}[/tex]

Where:

[tex]t[/tex] - Time spent by the stone, measured in seconds.

[tex]y[/tex] - Height change experimented by the stone, measured in meters.

[tex]k[/tex] - Proportionality constant, measured in [tex]\frac{s}{m^{1/2}}[/tex].

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

[tex]k = \frac{t}{y^{1/2}}[/tex]

If [tex]t = 4\,s[/tex] and [tex]y=78.4\,m[/tex], then:

[tex]k = \frac{4\,s}{(78.4\,m)^{1/2}}[/tex]

[tex]k \approx 0.452\,\frac{s}{m^{1/2}}[/tex]

Then, the expression is [tex]t = 0.452\cdot y^{1/2}[/tex]. Finally, if [tex]y = 500\,m[/tex], then the time is:

[tex]t = 0.452\cdot (500\,m)^{1/2}[/tex]

[tex]t \approx 10.107\,s[/tex]

The stone would take approximately 10.107 seconds to fall 500 meters.

Answer: It will  take you about 61 years for you to reach your goal.

Step-by-step explanation:

We will represent this situation by an exponential function. So if you earn 5% yearly then we could represent it by 1.05.So in exponential function we need to find the initial value and the common difference and in this case the common difference is 1.05 and the initial value or amount is 50,000 dollars.

We could represent the whole situation by the equation.

y= [tex]50,000(1.05)^{x}[/tex]  where x is the number of years. so if you aspire to have 1,000,000 in some years then we will put in 1 million dollars for y and solve for x.

1,000,000 = 50,000(1.05)^x   divide both sides by 50,000

20 = (1.05)^x

x= 61.40

Answer:

x ≥ 88

Step-by-step explanation:

In order to have at least an average of 80 after 4 tests, the sum of her scores must be at least 80 * 4 = 320 so we can write the following inequality:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

x ≥ 88

Answer:

Your correct answer to this problem is x ≥ 88

Step-by-step explanation:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

= x ≥ 88

Answer:

m<1 = 50

Step-by-step explanation:

We can first find the angle next to 140, by doing 180 - 40 = 40.

Now that we know that one of the triangles angle is 40, we also know that there's a 90 degree angle, so we can do:

180 - 90 - 40 = 50

So m<1 = 50

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

To find:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

Solution:

Here, total number of shirts = 3+2+5 = 10

First of all, let us learn about the formula of an event E:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}[/tex]

[tex]P(First\ White) = \dfrac{3}{10}[/tex]

Now, this shirt is set aside.

So, total number of shirts left are 9 now.

[tex]P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }[/tex]

So, the answer is:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = [tex]\frac{1}{4}[/tex]

Answer:

there are 620 comic books

Step-by-step explanation:

let number of comic books be x

total books=3x+x

2480=4x

2480/4=x

620=x

Answer:

Step-by-step explanation:

Let comic books be ' X '

Let Novels be ' 3x '

Now, finding the value of X

According to Question,

[tex]3x + x = 2480[/tex]

Collect like terms

[tex]4x = 2480[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{2480}{4} [/tex]

Calculate

[tex]x = 620[/tex]

Thus, There are 620 comic books in the book store.

Hope this helps...

Best regards!!

The true statement about the given transformation is; B: It is a dilation because the transformation is not isometric.

An isometric transformation is a shape-preserving transformation in the plane or in space. They include reflection, rotation and translation.

Now, from the given attachment showing the two figures, we can see that there is a dilation which means that it can't be isometric as the definition of Isometric transformation does not include Dilation.

Read more about Transformation at; https://brainly.com/question/4289712

#SPJ5

Answer:

b

Step-by-step explanation:

just took the test

Answer:  115,151,115,133,313,331

Step-by-step explanation:

The Andre's  number can consist from 1+1+5 or 3+3+1. There are no any other sets of 3 odd digit to get 7.

Lets prove this statement.

Lets 1 of the digit is bigger than 5. However the digit is odd so it can be 7 only. However in this case the residual 2 digits are 0 . This is not possible so the gigits are odd however 0 is even.

Lets check the case when the biggest digit in the set is smaller than 3.

So it can be 1 only.

So the residual 2 digits can be 1 only. The sum of 1+1+1<7 .

SO we've  prooven that the only sets of the digits are 1;1;5 or 3;3;1

The set   1;1;5 can give 3 numbers:

115,151,115

The set   1;3;3 can give 3 numbers as well:

133,313,331

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

Answer:

B.

Step-by-step explanation:

[tex]\sqrt[4]{2x^2} * \sqrt[4]{2x^3}[/tex]

= [tex]2^{1/4}x^{2/4} * 2^{1/4}x^{3/4}[/tex]

= B. [tex]2^{2/4}x^{5/4}[/tex].

Hope this helps!

Answer:

Step-by-step explanation:

Velocity is defined as the rate of change in displacement of a body. It is expressed mathematically as v = change in displacement/time

v(t) = ds(t)/dt

ds(t) = v(t)dt

integrating both sides;

s(t) =  [tex]\int\limits v(t)dt[/tex]

Given the velocity function f(t) = 11t, the car's position (displacement) is expressed as s(t) = [tex]\int\limits 11t\ dt[/tex]

s(t) = 11t²/2 + C

at the initial point, s(0) = 0 i.e when t = 0, s(t) = 0. The resulting equation becomes;

0 = 11(0)²/2+ C

0 = 0+C

C = 0

To find the car's position, s(t), we will substitute C = 0 into the equayion above;

s(t) = 11t²/2 + 0

s(t) = 11t²/2

Hence s(t) = 11t²/2  is the required position of the car in terms of t.

Using an integral, it is found that the car's position, at any time t, is given by:

[tex]s(t) = \frac{11t^2}{2}[/tex]

The velocity of the car is modeled by the following function:

[tex]f(t) = 11t, 0 \leq t \leq 30[/tex]

The position is the integrative of the velocity, hence:

[tex]s(t) = \int f(t) dt[/tex]

[tex]s(t) = \int 11t dt[/tex]

[tex]s(t) = \frac{11t^2}{2} + K[/tex]

In which the constant of integration K is the initial position. Since the initial position is [tex]s(0) = 0[/tex], the constant is [tex]K = 0[/tex], and hence, the car's position, at any time t, is given by:

[tex]s(t) = \frac{11t^2}{2}[/tex]

A similar problem is given at https://brainly.com/question/14096165