Mathematics College

Sylvia bought 8 tickets to a concert. Each ticket costs $18. To find the total cost in dollars, she added the product 8×10 to the product 8×8, for a total of 144. Which property did Sylvia use?

Answers

Answer 1
Sylvia wanted to find the total cost in easier way.
8 x 10 + 8 x 8 = 80 + 64 = 144
She used the Distributive property:
a x ( b + c ) = a x b + a x c
8 x 18 = 8 x ( 10 + 8 ) = 8 x 10 + 8 x 8 = 80 + 64 = 144
Answer:
Distributive property.

Answer 2

Answer:

distributive property

Step-by-step explanation:

im tired i just solved the problem good bye

Related Questions

Find the sum of 914 and 878

Answers

Sum refers to the answer of an addition problem. So:

914 + 878
1792

Hope this helps!
802492 If Multiplying && 1792 If Adding

Determine if the number is divisible number 15

Answers

1485/15 = 99; YES

1620/15 = 108; YES

1709; Last number inst 0 or 5; NO

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Answers

3p - 7 + p = 13... simplify
4p - 7 = 13....add 7 to both sides
4p = 13 + 7
4p = 20 ...divide both sides by 4
p = 20/4
p = 5

An object is launched upward with an initial velocity of 64 feet per second from a platform 80 feet high. Write a model for the object? How many seconds until the maximum height is reached? What will be the maximum height? How many seconds until the object hits the ground

Answers

using one of the equations for costant acceleration 
s = ut + 0.5gt^2 + 80
s = 64t - 16t^2  + 80

s = -16t^2 + 64t + 80
   = -16[ t^2 - 4t) + 80
   = -16 ( t - 2)^2 + 64 + 80
   = -16(t - 2)^2 + 144
Time to maximum height = 2 seconds
Maximum height = 144 ft

Displacement when it hits the ground  = -80 so

-80 = -16t^2 + 64t + 80

solve for t 

t = 5.74 seconds




The model for the object's motion is [tex]h(t) = -16t^2 + 64t + 80[/tex]. It reaches its maximum height of 144 feet at 2 seconds. The object will hit the ground after 5 seconds.

To model the vertical motion of the object, we use the equation:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

where:

h(t) is the height at time t64 ft/s is the initial velocity80 ft is the initial height[tex]16t^2[/tex] represents the effect of gravity (since the gravitational acceleration is approximately 32 ft/s2, and here it is halved to be per second squared)

Time to Reach Maximum Height

The time to reach the maximum height can be found by using the formula:

[tex]t = \frac{v_0}{|g|} = \frac{64}{32} = 2 seconds[/tex]

Maximum Height

Plug t = 2 seconds into the height equation:

[tex]h(2) = -16(2)^2 + 64(2) + 80 = 144 feet[/tex]

Time to Hit the Ground

To find when the object hits the ground (h(t) = 0), solve:

[tex]-16t^2 + 64t + 80 = 0[/tex]

Using the quadratic formula:

[tex]t = \frac{-64\pm\sqrt{64^2-4(-16)(80)} }{2(-16)}[/tex]

Simplifies to:

t = 5 seconds (since the negative value does not make sense in this context)

The object will hit the ground after 5 seconds.

how do you solve for 2w+8=-3+2w

Answers

2w + 8 = -3 + 2w
2w - 2w = -3 - 8

0 = -11

this equation is unsolvable, because -11 ≠ 0

hope this helps

your grandmother is in the hospital and is on a liquid diet. After examining her chart, a mistake is found stating that her weight is 500kg. what is the equivalent weight in pounds

Answers

The equivalent weight in pounds is 1102.31

DIVIDING ALGEBRAIC FRACTIONS

2p/4p^2 divided by 6p^3/6p+3

Answers

To multiply two fractions, you multiply the numerators together and you multiply the denominators together
= 2p(6p + 3) / 6p^3(4p^2 - 1)

Next, we can factor out a 3 in the numerator
= 6p(2p + 1) / 6p^3(4p^2 - 1)

Next, we can factor the denominator
= 6p(2p + 1) / 6p^3(2p - 1)(2p + 1)

Since we have (2p + 1) in the top and bottom, we can cancel it
= 6p / 6p^3(2p - 1)

We can also cancel a 6p in the top and bottom
Answer: 1 / p^2(2p - 1)

hope I helped

Anyone know the answer to these problems?
Explain with steps
Correct answer will receive Brainliest

Answers

Find the value of the expression we use the following rules of the exponents:

[tex]\displaystyle{ i) \frac{a^b}{a^c}=a^{b-c}[/tex]  for b>c
[tex]\displaystyle{ ii)\frac{a^b}{a^c}=\frac{1}{a^{c-b}}[/tex]    for c>b


Using these 2 rules, we have: 

[tex]\displaystyle{( \frac{(10^4)(5^2)}{(10^3)(5^3)} )^3=( \frac{10^{4-3}}{5^{3-2}} )^3= (\frac{10}{5})^3=2^3=8 [/tex]

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

Compound interest formula: (image uploaded V(t) )

t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years

A. 5.9 years
B. 6.1 years
C. 23.4 years
D. 24.5 years

Answers

Follow the given formula.  The initial amount of money invested, P, becomes 2P (same thing as "doubles) after t years.  Since compounding is quarterly, n=4.  The annual interest rate is 12%.  That is, r=0.12.

Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.

Simplifying the above equation:  2 = (1.03)^(4t)

We must isolate 4t, and then isolate t.  To do this, take the common log of both sides of the above equation.  We get:

log 2 = (4t) log 1.03.  This gives us 4t = [log 2] / [log 1.03], or

4t =  23.4498

Dividing both sides by 4, we get     t = 5.86 (years).

Compound interest is the interest generated overtime on a sum of money invested. The time it will take for the amount of money to double is 5.9 years

How to calculate the compound interest?

Compound interest is the interest generated overtime on a sum of money invested. The formula for calculating compound interest is expressed as:
V(t) = P(1+r/n)^nt

where:

t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t years

Given the following

V(t) = 2P
r = 0.12
n = 4

Substitute
2P = P(1+0.12/4)^4t
2 =  (1.03)^4t
ln2 = 4t ln(1.03)
0.6931 = 0.1182t
t = 0.6931/0.1182
t = 5.9 years

Hence the time it will take for the amount of money to double is 5.9 years

Learn more on compound interest here: https://brainly.com/question/24924853

Estimates 3 2/3 \ 3 2/9

Answers

hello  
3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3

can someone please help me with using the quadratic formula to find the solutions to the equation

Answers

A quadratic equation has the standard form:

ax^2 + bx + c = 0

in the given equation,
a = 3
b = -10
c = 5

plug these values into the quadratic formula.

(-b +/- sqrt(b^2 - 4ac)) / (2a)

(-(-10) +/- sqrt((-10)^2 - 4(3)(5)) / (2*3)
(10 +/- sqrt(100 - 60)) / (6)
(10 +/- sqrt(40)) /6

What three ratios of the lengths of two segments equal?

Answers

Since sin is opposite/hypotenuse, it can be a/(r+s) since r+s (aka e) is the biggest length in the bigger triangle, h/b since b is the hypotenuse in the right triangle, and the third one is tough - since the triangle with BC as the hypotenuse is similar to the biggest triangle (since e is parallel to s), the angle is either equal to B or C. Since angles B clearly are the same in the biggest triangle and the smallest, that's not possible, so it's angle C. The opposite/adjacent of that is s/a - I challenge you to use this technique for C and D!

what is 3/4 of 535?????????

Answers

Whenever they ask what is a certain fraction of a number, just multiply.
(3/4)(535)=401.25
It might be 401.25 I’m not sure

What is the answer to 8=56, 7=42, 6=30, 5=20, 3=?

Answers

8(7) = 56
7(6) = 42
6(5) = 30
5(4) = 20
4(3) = 12
3(2) = 6
∴ 3 = 6

Factor the difference of two cubes

Answers

Since 216=6^3, and (a – b)(a^2 + ab + b^2) is how to factor the difference of a cube (that's the formula), we have (6-x)(6^2+6x+x^2)=(6-x)(36+6x+x^2)

Which expression results when the change of base formula is applied to log4(x+2) ?

Answers

Answer-

[tex]\frac{\log (x+2)}{\log 4}[/tex] is the correct answer.

Solution-

The formula for change of base in logarithm is given by,

[tex]\log_{b}a=\frac{\log_{c}a}{\log_{c}b}[/tex]

If we take the common base as 'e' , the formula becomes,

[tex]\log_{b}a=\frac{\log a}{\log b}[/tex]

Applying this formula,

[tex]\log_{4}(x+2)=\frac{\log (x+2)}{\log 4}[/tex]

∴ As the first option matches with our answer, hence it is the correct answer.

( In the fourth option a bracket is missing, so it is not the correct option)

Step by step how to factor:
2y^2+9y+9=0

Answers

use ac method
for ax²+bx+c=0 when a≠1


multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b


2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that

2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero

y+3=0
y=-3

2y+3=0
2y=-3
y=-3/2


y=-3 and -3/2
it's factored form is (x+3)(2x+3)

8. Susie had $150 in her checking account. She wrote a check for $95 and another check for $85. What was the balance in her account after she wrote the check?

Answers

85 + 95 = 180$
So 150 - 180 = -30$ so she is 30 dollars in debt.
Salutations!

Susie had $150 in her checking account. She wrote a check for $95 and another check for $85. What was the balance in her account after she wrote the check?

Lets solve this!

First, you need to add:

[tex]95+85 = 180[/tex]

Secondly, subtract 180 by 150:

[tex]180-150= 30[/tex]

Susie has $30 balance left after she wrote the check.

Hope I helped (:

Have a great day!

Simplify by dividing negative three over eight divided by five over nine..

A. negative fifteen over seventy-two.
B. fifteen over seventy-two.
C. negative twenty-seven over forty.
D. twenty-seven over forty.

Answers

(-3/8) / (5/9)...when dividing fractions, flip what u r dividing by, then multiply

-3/8 * 9/5 = - 27/40 <==

Answer:

-27/40

Step-by-step explanation:

if the quotient of -20 and 4 is decreased by 3 what number results

Answers

quotient is division

-20/4 = -5

-5 -3=

-8

the number is -8

simplify the expression 3xy(2x+5y)

Answers

3xy (2x+5y)
6x²y+15xy²
Use the app photomath it helps a lot

A 33 - m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37 m . Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answers

This is Pythagorean theorem, a^2+b^2=c^2 , a = 33 and c = 37 so b^2 + 1089 = 1369 , b^2 = 280 , b = 16.73m
Final answer:

To solve this, we use Pythagoras' theorem as we have a right-angled triangle formed by the building, its shadow and the line between the top of the building to the end of the shadow. We find that the length of the shadow is approximately 16.7 meters.

Explanation:

To solve this problem, we need to apply Pythagoras' theorem because the building, the shadow and the line between the top of the building to the end of the shadow form a right-angled triangle.  

Pythagoras' theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as:

a² + b² = c²

In this scenario, the height of the building is one side of the triangle (a), the shadow is the other side (b), and the line from the top of the building to the tip of the shadow is the hypotenuse (c).

So, to find the length of the shadow, we rearrange the formula to solve for b:

b = sqrt(c² - a²)

Then, we substitute the known values:

b = sqrt( (37m)² - (33m)²) = sqrt(1369 - 1089) = sqrt(280) = 16.7m

So, the length of the shadow is approximately 16.7 meters.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/343682

#SPJ3

!!PLEASE HELP!!
After school, Mike spends from 4:00 to 6:00 doing homework, eating, and playing sports. If he spends 65 minutes on homework and 15 minutes on eating, how much time does he have to play sports?

Answers

your answer would be 40. there are 60 minutes in an hour 60*2= 180
 add 65 and 15 together and subtract that from 180 and you will get your answer
4:00 to 6:00 would be two hours, or 120 minutes (2 hours*60 minutes per hour)
120 minutes-15 minutes, eating-65 minutes, homework=120-15-65
120-15=105
105-65=40
Mike would have 40 minutes to play sports

Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the result of their apin. The table lists how much a player reieves or pays for various spins.

Answers

Where is the table and what’s the question ?

Answer:

Outcome Bag of Gold Magic Wand

Relative frequency 0.32 0.68

The relative frequency of getting a bag of gold is .......... reasonably close

.32 is close to 30% so

Alison's claim about the theoretical probability is likely to be 2............true

Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%

Step-by-step explanation:

Simplify:-3 1/2-(12 1/4)

Answers

- 3.5 - 12.25 = -15.75

-15.75 is your answer

or -15 3/4

1/2 = 0.5
1/4 = 0.25


hope this helps

carl puts $1.10 in his piggy bank everyday in month of July (31 days)his total saving was $55.00 at the end of June what is the best estimate for his savaging at the end of June

Answers

At the end of July, Carl put $34.10 into his piggy bank, this means he had $15.90 in the piggy back to begin the month
multiply by the number of days in july ($1.10 x 31 = 34.10)

subtract July's amount (34.10) from the total

55.00 - 34.10 = 20.90

he had $20.90 at the end of June. Hope this helps!

The population of a city in Alabama increases every year by 11.5 percent. If the population in 2011 was 4.8 million, what will its population be in 2016?
A)2.6 million
B)2.76 million
C)8.27 million
D)220 million

Answers

8.27 million
4.8*(1.115)[tex] ^{5} [/tex]

Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number solutions does the equation have?

Discriminant = b2 – 4ac


real number solutions

Answers

Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number solutions does the equation have?  Remember that the discriminant is calculated using the coefficents a, b and c.  Given 0 = -2x^2 + 0x + 3, the coeff. are a=-2, b=0 and c=3.

The discriminant is b^2 - 4ac.  Here, the discriminant is 0^2 - 4(-2)(3) = 24.

Since the discriminant is positive, you have two real, unequal roots.

The positive value of the discriminant implies that there are two real unequal roots and this can be determined by using the formula of the discriminant.

Given :

The quadratic equation is [tex](0=-2x^2+3)[/tex].

The following steps can be used in order to determine the total number of real solutions does the equation have:

Step 1 - Write the given quadratic equation.

[tex]0=-2x^2+0x+3[/tex]

Step 2 - The formula of discriminant is given below:

[tex]D = b^2-4ac[/tex]

where 'b' is the coefficient of 'x', 'a' is the coefficient of [tex]x^2[/tex], and 'c' is the constant.

Step 3 - Now, substitute the values of a, b, and c in the above formula.

[tex]D = (0)^2-4\times (-2)\times 3[/tex]

[tex]D = 24[/tex]

Step 4 - The positive value of the discriminant implies that there are two real unequal roots.

For more information, refer to the link given below:

https://brainly.com/question/12657401

Solve. 54 ÷ (4 – 1)3

Answers

54 divide 3*3=54 is the answer
distribute the numbers so 54 divide (4-1)3 ,  3 x 4= 12-3=9, then 54 divided by 9 equals 6

What is 7 to the 4 world power in expanded form?

Answers

"world" power ???

Don't you mean "what is 7 to the 4th power?"

It's (7)(7)(7)(7) = (49)(49), or approx. 2,500.  Multiply out 49(49) for the exact answer.

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