The areas of two similar squares are 16m and 49m.
What is the scale factor of their side lengths?

165\15= number of tubs

165 divided by 15 equals the amount of the tubs that he sold.

(I assume the two different name things, isaac&dominic, is a mistake since there isnt any information for Dominic)

True

A counterexample is a special type of example that is an exception to a general rule, law, proposition or statement. Hence if we prove that [tex]sin(45^{\circ})+cos(45^{\circ})\neq 1[/tex] then this is a counterexample for the expression [tex]sin(x)+cos(x)=1[/tex]. Thus:

[tex]sin(x)+cos(x)=1 \\ \\ Substituting \ x=45^{\circ} \ we \ have: \\ \\ sin(45^{\circ})+cos(45^{\circ})=1 \\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}=1 \\ \\ Rewriting:\\ \\2\frac{\sqrt{2}}{2}=1 \\ \\ \therefore \sqrt{2}=1 \ FALSE![/tex]

So we observe that the equation is not fulfilled because [tex]\sqrt{2}\neq 1[/tex]. In conclusion:

A counterexample for the expression sin(x)+cos(x)=1 is 45° is true!

Answer:

Step-by-step explanation:

the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4

Answer:

7

Step-by-step explanation:

If J is Joan's current age and E is Ellen's current age, then:

J = E + 5

(J - 3) + (E - 3) = 17

Solve the first equation for E:

E = J - 5

Substitute into the second:

(J - 3) + (J - 5 - 3) = 17

J - 3 + J - 8 = 17

2J - 11 = 17

2J = 28

J = 14

Joan is 14, so in 7 years, she will be 21.

Answer:

¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³

Step-by-step explanation:

Equation of a volume of a cone: V = ¹/₃ * πr²h

1. Find r (radius): r = d/2 = 26/2 = 13 cm

2. Plug in everything into equation: V = ¹/₃ * π(13)² * 10

3. Square: V = ¹/₃ * π * 169 * 10

4. Multiply: V = ¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³

if it has a diameter of 26 cm, then its radius is half that, or 13.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=13\\ h=10 \end{cases}\implies V=\cfrac{\pi (13)^2(10)}{3} \\\\\\ V=\cfrac{1690\pi }{3}\implies V\approx 1769.76[/tex]

Answer: 18,000deg

Step-by-step explanation:

(3000rev/min)*(1min/60s)*(360deg/1rev)=18,000deg

Answer:

18,000

Step-by-step explanation:

We know that the electric motor makes 3000 revolutions in a minute/60 sec.

In one second, the motor makes 3000/60 revolutions.

In one second, the motor makes 50 revolutions.

∴ 1 revolution = 360 degrees

50 revolutions = 360 × 50 degrees

50 revolutions = 18,000 degrees

Answer:

Associativity property of Addition 

Step-by-step explanation:

The associate property defines that grouping of more than two numbers and performing the basic arithmetic operations of addition and multiplication does not affect the final result. Note that grouping means placing the parenthesis.

The property used in this equation is the associative property of addition.

Associative property states that changing the order in which addends are grouped has no effect on the sum.

(a + b) + c = a + (b + c)

The equation given in the question is:

3 + [7 + (–4)] = [3 + 7] + (– 4)

The associative property states that (a + b) + c = a + (b + c)

Both equations are matching.

Hence, the equation given in the question clearly follows the associative law of addition.

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Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite

we have

[tex]f(x)=2(0.4)^{x}[/tex]

The reflection of f(x) across the y-axis is equal to the function g(x)

[tex]g(x)=2(0.4)^{-x}[/tex]

The graph in the attached figure

The graph which best represents a reflection of f(x) across the y-axis is; f(x) = 2(0.4)^-x.

[tex]f(x) = 2(0.4)^{-x}[/tex]

A reflection of a point over the y -axis is given by a rule in accordance with mathematical convention. The rule in discuss for a reflection over the y -axis is (x,y)→(−x,y).

Hence, the reflection of the graph is given by the function; f(x) = 2(0.4)^-x.

[tex]f(x) = 2(0.4)^{-x}[/tex]

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length* width

12*10= 120

Volume /120

960/120=8

height is 8 inches

Answer:

2.

Step-by-step explanation:

The reason I say this one is because that equation say p is greater than 48 that is why,

Answer: Option number 3!

Answer:

3.24

Step-by-step explanation:

You would use the two fonts given to find the scale factor.

So the scale factor would be 10.4976/5.832 = 1.8

So if the scale factor is 1.8 we can use that to find the font size just before that. To do this you would divide the font size by the scale factor.

So

5.832/1.8 = 3.24

The font size just before 5832 is 3.24.

Hope this helps, if there is an error in my work please correct me.

Answer:

45*2/3 is 90/3 which is 30 times

Step-by-step explanation:

Answer:

5 hr.

Step-by-step explanation:

this is because one car is moving at 30 miles an hour and the other at 30+20 miles an hour = 50mph. so after 1 hour one car would have gone 30 miles and the other 50 = 80 altogether not 400 yet. After 2 hours one car would have gone 60 miles and the other 100 = 160 not 400 yet. ECT... After five hours one car has gone 150 mile (30mph*5hr = 150miles) and the other 250miles (59mph*50hr = 250miles) = 400, since 150+250=400. Therefore it would take 5hr for the cars to meet. and crash ._.

Final answer:

The two cars traveling towards each other, one at 30 mph and the other at 50 mph, will meet after 5 hours, since their combined speed is 80 mph and they are 400 miles apart.

Explanation:

To solve the problem of when two cars moving towards each other will meet, we can use the concept of relative speed. The first car travels at 30 mph, and the second car travels at the faster speed of 50 mph (since it is 20 mph faster than the first car). The combined speed at which the two cars are moving towards each other is the sum of their individual speeds.

The formula for time is:

Time = Distance / Speed

Given that the two cars are 400 miles apart, and the combined speed is 30 mph + 50 mph = 80 mph, the time it takes for the two cars to meet is:

Time = 400 miles / 80 mph = 5 hours

Therefore, the cars will meet after 5 hours of travel.

Answer:

The cost of a funnel cake is $6.75 and the cost of a milkshake is $4.50

Step-by-step explanation:

Let

x-----> the cost of a funnel cake

y----> the cost of a milkshake

we know that

5x+3y=47.25 -----> equation A

2x+6y=40.50 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (6.75,4.50)

see the attached figure

therefore

The cost of a funnel cake is $6.75

The cost of a milkshake is $4.50

Answer:

8x + 12y < 240

Step-by-step explanation:

If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).

Then, to find the total number of hours they dye them in, add the terms together.

8x + 12y

The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).

8x + 12y < 240

Answer:

c

Step-by-step explanation:

Answer:

60 students were in each bus.

Step-by-step explanation:

248-8=240

240 students rode on busses.

240/4= 60

60 students per bus.

248-8= 240 (taking away 8 because 8 of the students are not taking the bus)

240/4=60 (dividing the number we got by 4 because there are 4 busses)

i hope i helped :)

Answer:

60

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

x + x + x = 180

3x = 180 ( divide both sides by 3 )

x = 60

The triangle is equilateral

Answer:

f(x) = x(x + 9)(x − 9)

Step-by-step explanation:

Answer: f(x) = x(x+9)(x-9)

Step-by-step explanation:

Answer:

The volume for a cylinder is [tex]\pi[/tex][tex]r^{2} h[/tex].

The diameter is half of the radius, so the r=2.

So pi x 2^2 x 12, this equals around 150.8 cubic feet.

I don't know what are your choice so just pick one that is closest to 150.8

For this case we have that by definition, the formula of the midpoint is given by:

[tex]MP = (\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2})[/tex]

We have the points are:

[tex](x_ {1}, y_ {1}) :( 9,8)\\(x_ {2}, y_ {2}): (- 1, -2)\\MP = (\frac {9 + (- 1)} {2}, \frac {8 + (- 2)} {2})\\MP = (\frac {9-1} {2}, \frac {8-2} {2})\\MP = (\frac {8} {2}, \frac {6} {2})\\MP = (4,3)[/tex]

Answer:

Option D

Answer:

option D is right on plato

Step-by-step explanation:

Since this is a linear question in y=mx+b form, and where m is the slope of the line and b is the y-intercept....

The slope in this problem is 2/3

And y intercept is -1

So you would graph the point -1 on y axis then go up 2/3 since it’s positive( go up 2 over 3)

The answer is 1,200.

Hope this helps!

Answer:

Option B. 1,200.

Step-by-step explanation:

Regina is in charge of purchasing notepads to  give away at an upcoming trade show.

she knows that 65 boxes of notepads will contain a total of 1,625 pads.

We calculate this by unitary method. first we calculate the amount of pads in one box.

∵  65 boxes contains = 1,625 pads

∴  in one box = 1,625 ÷ 65 = 25 pads

She purchases 48 boxes, so she will receive = 25 × 48 = 1,200 pads

She would receive 1200 pads if she purchases 48 boxes.

Answer:

It would be 32. my G

Answer:

D

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

100° is an exterior angle while 68° and x° are the opposite interior angles, thus

x + 68 = 100 ( subtract 68 from both sides )

x = 32° → D

Answer:

500.874

Step-by-step explanation:

(21•8)-(8•3/2)-(8•6/2)=

168-12-24= 168-36=132

The big rectangle-small triangle on the left-triangle on the right

Answer:

I believe it is 1/6 for the pencil and 1/3 for the pen. Altogether, 2/9.

Step-by-step explanation:

There is 1 purple pencil out of 6 and 1 black pen out of 3.

Using probability of independent events, it is found that there is a [tex]\frac{1}{15}[/tex] probability  that she will select a purple pencil and a black pen in that order.

A probability is the number of desired outcomes divided by the number of total outcomes.

If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question:

The probability is:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}[/tex]

[tex]\frac{1}{15}[/tex] probability  that she will select a purple pencil and a black pen in that order.

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Answer: May 1st

Step-by-step explanation:

They have pay initially the down payment of 5% and the first month's installment.

You should start on May 1, because if you want to get it for her for Christmas.

Option D is correct.

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan.

Down payment is the initial deposit made by the buyer to the seller when purchasing an expensive item, such as residential property or a car.

According to the question

Bryson and his cousins plan to all chip in to get their grandmother a $250 Christmas present.

They make a down payment of 5% and pay $30 a month after that.

If the payments are due at the beginning of each month, then they have to pay the first month's installment with their down payment.

That means they have pay initially the down payment of 5% and the first month's installment.

Total price = $250

Down payment = $250 x 5% = $12.5

Remaining amount = 250 - 12.5 = 237.5

= [tex]\frac{237.5}{30} =7.91[/tex] ≈ 8 months

You should start on May 1, because if you want to get it for her for Christmas.

May to December is 8 months.

Option D is correct.

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Answer:

Step-by-step explanation:

Look at the picture

Answer:

A

Step-by-step explanation:

Given

x³ +x ² - 6x ( to find the zeros equate to zero ), that is

x³ + x² - 6x = 0 ← factor out x from each term

x(x² + x - 6) = 0

To factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

x(x + 3)(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

The zeros are x = - 3, x = 0, x = 2 → A

Answer:

x< [tex]x<−32 or x>−43[/tex]

Step-by-step explanation: