True or False. Use the information below to answer questions 10, 11, and 12.
The local sporting goods store sells footballs at the following rate.

Number of Footballs n Total Price t
2 $17.00
4 $34.00

Use the chart above and the following information to answer the true and false questions that follow. The sporting goods store also sells baseballs at a 50% of the cost of the footballs. Determine which of the following statements are true. Select True or False for each statement.

10. The price of 6 baseballs is less than the price of 4 footballs. True or False
11. The difference in the price of 1 football when compared to the price of 1 baseball is less than $3
12. The price of 3 footballs is equal to the price of 6 baseballs. True or False

Answers

Answer 1

Answer:

True, False, True

Step-by-step explanation:

Calculate the unit price of a football and a baseball

2 footballs cost $17.00 , then

1 football costs $17 ÷ 2 = $8.50

A baseball is 50% of a football, thus

cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25

(10)

4 footballs cost $34.00 ( given in table )

6 baseballs cost 6 × $4.25 = $25.50 < $34

Thus 6 baseballs < 4 footballs is True

(11)

The difference in price = $8.50 - $4.25 = $4.25

Thus the difference in price is greater than $3, not less False

(12)

3 footballs cost 3 × $8.50 = $25.50

6 baseballs cost 6 × $4.25 = $25.50

Thus the costs are equal is True

Answer 2

Answer:

Answer:

see explanation

Step-by-step explanation:

1

(a)

If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.

(b)

If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

(c)

If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.

2

A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.

1 revolution = 360° = 2π radians

1 radian = \frac{360}{2\pi }

360

≈ 57°

3

(a)

An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.

(b)

The incentre is at the point of intersection of the triangle's 3 angle bisectors.

(c)

A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.

(d)

The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.

'


Related Questions

Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73

Answers

Answer:

$ 60

Step-by-step explanation:

hope it helps!

.....

Answer:

It is B

Step-by-step explanation:

Got it right on unit review

In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8​

Answers

Brainiest Answer:
D.1/8

(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?

Answers

r = 9 in the equation r(6) = 54. You would divide by 6 on both sides to have r by itself giving you r = 9

Answer:

9, 54=6r

Step-by-step explanation:

54/6=9 rocks

54=6r

Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?

Answers

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

Solve:


-3(1 + 4x) = 33


x =




Solve:


-4(-6y – 3) = 12


y =




Solve:


-(x – 8) = -2


x =





Solve:


−3(4r − 8) = −36


r =





Solve:


6(−x − 3) = 24


x =





Solve:


3(x − 2) = 18


x =





Solve:


2(4x + 4) = 24


x =

Please help

Answers

Answer:

3

(

1

+

4

)

=

3

3

Step-by-step explanation:

Answer:

1: -3

2: 24

3: 10

4: 5

5: -7

6: 8

7: 2

Step-by-step explanation:

hope this helps:)

What is the GCF of the expression -x2y22 - xy2z?​

Answers

Answer:

i dont onderstand Thais

Help out pleaseeeeeeeeeeeeeeeee

Answers

it would be 7/12 for the answer!

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent

Answers

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!

Answers

the answer will be 2.5 hope that helps you

Answer:

2.5 or in other terms 2 1/2

Step-by-step explanation:

6 ×3(2+9)..can you give the answer of it please ​

Answers

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Please help!!!! I will mark brainliest!!

Answers

Answer:

1 4 6 8 Have a good night ✨ ☺

They are all exponential functions

By what percent is 16 greater than 12.

Answers

Answer:

28 i assume.

Answer:

The answer is 28% :))

Why was the ancient Egyptian teenager confused?

Answers

Answer: her daddy was a mummy

Step-by-step explanation:

Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12​

Answers

Answer:

b

Step-by-step explanation:

i did the math for over an hour and got the same answer 25 times

Michael's car can travel 25 miles on one gallon of gas. The cost of gas is $3.75 per gallon. Which equation could calculate the total cost of gas, y, based on the number of miles traveled, x

Answers

T = 3.75n over 25 (make it a fraction)

Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.

Answers

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

Substituting the value of C back into equation(1), we have:

[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

If point C lies between two points A and B such that AC=BC, then

Answers

Answer:

If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.

In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%

Answers

I think it is b hope this helps

please help with this question (d+2)(-7)

Answers

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

The answer is -7d - 14!

help!!!!!please!!!!!!!
4x = 64 + 200
what is x ​

Answers

x=66

Step-by-step explanation:

4x = 200 + 64 > 4x = 264 > x= 66

Answer:

x=66

Step-by-step explanation:

Steps

4x=64+200

4x=264

x=66

12 points!! PLEASE

y =(x-3) - 4

rewrite these in standard and factored form!!

Answers

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

What is the answer answer and plz give me step by step explaining

Answers

Answer:

x = 5

Step-by-step explanation:

6 + 8(x - 1) = 2(3x + 4)

We evaluate the numbers in the brackets first.

(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)

6 + 8x - 8 = 6x + 8

The left hand side of the equation is not exactly simplified, so we will evaluate it further first.

(6 - 8 = -2)

8x - 2 = 6x + 8

Now we can start shifting the x and the numbers separately.

Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.

8x - 6x = 8 + 2

Further evaluation

2x = 10

Now we can simply find x.

Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.

x = 10 ÷ 2

Evaluate.

x = 5

Explain how to solve the equation.

B - 7 = 12 ​

Answers

Get the B by itself

So take the -7 and add it to the 12 on the other side

So now we have B = 12 + 7

So now B = 19

And now if we replace B

19-7=12

B=19

Answer:

So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number

Step-by-step explanation:

Have a great day

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

Can anyone solve this for me? If so please type the steps!

Answers

Answer:

It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest

Step-by-step explanation:

Answer:

I don't get it the two triangles look the same

Step-by-step explanation:

What is the measurement of Angle x. please explain​

Answers

the measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees
40 hope this helps !!!

A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?

Answers

im guessing 800 50X4 = 200 and 200X4 = 800

i never learned this but i hope its correct.

The quotient of 5 plus a number w and negative 5 is 36

Answers

155 i think this is correct if not its 205

the equation would be
5 + w over -5 equals 36
to solve you would multiply both sides by -5
move the constant to the right-hand side and change its sign
[ w = -180 -5 ]
vv
w = -185 [ would be the answer ]

Using 3.14 for π, calculate the circumference and area of the circle below. Include your answer to the hundredths place.

Circumference:

feet and the area ft squared:

If you don't know the answer please don't respond need ASAP

Answers

Answer:

37.68

Step-by-step explanation:

Compute $\sqrt{25^2-7^2}$.

Answers

Answer:

24

Step-by-step explanation:

[tex]\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24[/tex]

Answer:

24

Step-by-step explanation:

First we compute the number under the radical.

We have 25² = 625 and 7² = 49, so 25² - 7² = 625 - 49 = 576.

Thus, √25² - 7² = √576 = √24², which is 24.

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