Answer:
[tex]\boxed {12x + 2}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex]4(3x + 2) - 6[/tex]
-Use Distributive Property:
[tex]4(3x + 2) - 6[/tex]
[tex]12x + 8 - 6[/tex]
-Combine like terms:
[tex]12x + 8 - 6[/tex]
[tex]\boxed {12x + 2}[/tex]
Answer:
[tex]12x+2[/tex]
Step-by-step explanation:
The first step is to distribute the 4 to the parenthesis. This turns the equation into:
[tex](12x+8)-6[/tex]
We can remove the parenthesis now. Also, now we combine like terms. There are no other variables in the equation, so we leave the 12x alone. Combine the +8 and the -6 to get +2. This leaves the equation at:
[tex]12x+2[/tex]
Robert wants to buy a digital piano at a yard
sale. He makes a scale drawing of his living
room. He uses a scale of 1 cm in the drawing
to 6 inches in the actual room. The width of the
digital piano is 54 inches. Will it fit along the
wall next to the bookshelf? Explain your answer.
please help!!
explain good and clearly:) I’ll give you brainliest!!
*see attachment for the drawing
Answer:
No. The width is longer than the space available along the wall next to the bookshelf.
Step-by-step explanation:
The scale of the length of the space the piano is to occupy along the wall close to the bookshelf = 12 cm - 4 cm = 8 cm
Actual length of the space given a scale of 1 cm to 6 in: 6*8 = 48 in
The piano is said to have a width of 54 inches, therefore, it will not fit along the wall next to the bookshelf. The space available along the bookshelf is just only 48 inches long, which is less than the width of the piano.
Answer:
No
Step-by-step explanation:
It does not fit
Given g(x) = -3x - 4, find g (5)
Answer:
The answer is -19.
Step-by-step explanation:
You have to substitute the x = 5 into the function :
[tex]g(x) = - 3x - 4[/tex]
[tex]g(5) = - 3(5) - 4[/tex]
[tex]g(5) = - 15 - 4[/tex]
[tex]g(5) = - 19[/tex]
Jane needs $20 to buy her radio. She has saved $15. What percent of the cost of the radio has she saved?
Answer: 75%
Step-by-step explanation:
15/20 = 3/4 or 75%
What do the following two equations represent? y = -x+5 and 5x+5y=20
Answer:
distinct parallel lines!!!
Step-by-step explanation:
Answer: on khan its Distinct Parallel lines
Step-by-step explanation:
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
Answer
a= -6
Step-by-step explanation:
-2(a-3)=12
1.) -2(a)= -2a
2) -2(-3)= 6
3) -2a+6=12
-6 -6
4) -2a/-2 = 12/-2
a = -6
Factor the expression.
81x^2 + 36x + 4
Answer:
(9x+2)^2
Step-by-step explanation:
Nicole bought 6 tickets to an indoor water park. She paid a 6% service charge for buying them online. Her total cost was
$165.36
a What equation can be used to model the total cost of the tickets?
6. What was the price of each ticket?
C. How much did Nicole pay in service charges?
Answer:
Step-by-step explanation:
Let each ticket cost x
Answer for Part A
6x + 6% (6x) = 165.36 dollars.
Answer for Part B
6x + 6/100 * 6x = 165.36
6x + 36/100 x = 165.36
6x + 0.36 x = 165.36
6.36x = 165.36
x = 165.36/6.36
x = 26 dollars for each ticket.
Part C
Service charge = 165.36 - 6*26
Service charge = 165.36 - 156
Service charge = 9.36
Find the next term of the sequence.
16, 9, 2, –5,
Answer:
-12
Step-by-step explanation:
Juan invests $7500 at 6% interest in one year. How much money will he have if the interest were compounded A. yearly B. Daily C. why are the amounts in answers a and b different
Answer:
A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).
Step-by-step explanation:
Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)
t = time(time in respect to years ; how long it is compounded).
For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$
For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$
C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)
17.) You want to purchase 4 board games that are $15 each. There is a 6% sales tax. What is the
total amount of your purchase?
Answer:
$63.60
Step-by-step explanation:
4 board games are $15 each, multiply 4*15 = 60.
There is a 6% sales tax, so it is 6% extra. To calculate 6% as a decimal, divide it by 100, so 6/100 = 0.06. Now that it is 0.06 extra, you add 0.06 to 1.00 because 1.00 is the 100% of the price (the $60). So now it is 1.06 of the price. Multiply 60 * 1.06 and you get $63.60
Answer:
60.36 cents
Step-by-step explanation:
you have to times 60 by .6 then you get 36 and that is how much taxes cost.
Find x and y!! 20 points
Answer:
x is 75 degrees and y is 43 degrees
Step-by-step explanation:
im failing Geometry if anyone is good at Geometry and want to help me i attached 5 problems i greatly appreciate anyone that helps
Answer:
x = 12
Step-by-step explanation:
Here we go!
What we know:
So 7x and 8x are part of a same side interior angle. meaning, they add up to 180°!
[tex]8x + 7x = 180[/tex]
Combine like terms
[tex]15x = 180[/tex]
Divide 15 from both sides
[tex]x = 12[/tex]
Let's check our work:
plug in x
7(12) + 8(12) = 180
multiply
84 + 96 = 180
add
180 = 180
Which kind of expression is 400(0.5)t?
Answer: It is an Exponential Decay
Step-by-step explanation: Look at the 0.5 it is below the value of 1 anything below the value of 1 is most likely an exponential decay
Answer:
It is an Exponential Decay
Step-by-step explanation:
What is the cost of one egg if a dozen eggs cost $1.08? PLEASE HELP MEE
Answer:
0.09
Step-by-step explanation:
Answer:
$0.09
Step-by-step explanation:
12 eggs= 1.08
1.08/12= $0.09
one egg= $0.09
Write 1/8 as a decimal
Answer:
0.125
Step-by-step explanation:
1/8=0.125
(b) Carmen bought 19 pounds of rice for $11. How many pounds of rice did she get per dollar? pounds per dollar
Two families paid a total of $44.00 to see a movie. Each adult ticket cost $8.00. If there were 3 adults and 4 children, how much did each childs ticket cost?
Answer:
$5
Step-by-step explanation:
You will multiply $8 by 3 and subtract 44 by that number. You will then divide that number by 4.
Answer:
$5 each
Step-by-step explanation:
total of $44.00
3 adults * $8.00 = $24
$44.00 - $24.00 = $20
$20 * 4 children = $5 each
Kelly has $20000 to invest, and hopes to earn $1390 in interest in the first year. She wants her investment in treasury bills to be $3000 more than her investment in corporate bonds. The expected return (in simple interest) on each investment are: Treasury Bills: 5%, Treasury Bonds: 7%, Corporate Bonds: 10%. How much should Kelly invest in each one?
Answer:
$8,000 in Treasury bills
$7,000 in Treasury bonds
$5,000 in corporate bonds
Step-by-step explanation:
Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y
From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;
So mathematically, this will be $(x - 3000)
So therefore, the amount invested in each will be;
x + y + x-3000 = 20,000
2x + y = 20,000 + 3000
2x + y = 23,000 ••••••••(i)
Let’s now work with the simple interests;
For treasury bills;
5% = 5/100 * x = 5x/100
For Corporate bonds ;
10% = 10/100 * (x -3000) = (x-3000)/10
For Treasury bonds 7%
7% = 7/100 * y = 7y/100
Adding all gives the total interest;
5x/100 + 7y/100 + (x-3000)/10 = 1390
Multiply through by 100
5x + 7y + 10(x-3000) = 1390 * 100
5x + 7y + 10(x-3000) = 139,000
5x + 7y + 10x -30,000 = 139,000
15x + 7y = 139,000 + 30,000
15x + 7y = 169,000 •••••••••(ii)
So we have two equations to solve simultaneously;
From i, y = 23,000 - 2x
Put this into ii
15x + 7(23,000 -2x) = 169,000
15x + 161,000 - 14x = 169,000
x + 161,000 = 169,000
x = 169,000 - 161,000
x = $8,000
y = 23,000 - 2x
y = 23,000 - 2(8,000)
= 23,000 - 16,000 = $7,000
So the last investment amount is x-3000 = 8,000 -3,000 = $5,000
Which equation represents the unit fraction shown in the diagram?
A grid model with 100 squares. 20 squares are shaded.
StartFraction 20 Over 100 EndFraction = one-fifth
StartFraction 20 Over 100 EndFraction = two-fifths
StartFraction 20 Over 100 EndFraction = one-half
StartFraction 20 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction
it A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I took the test.
y'all i will love u forever if u answer these questions..it's 20 points for answering.
Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cost (c) Tyson must pay after skating h hours. Solve the equation to find the cost to go ice skating for four hours. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.
Cindy is taking her granddaughter to the local pumpkin patch. The pumpkin patch sells pumpkins by the pound. The cost for pumpkins is $0.49 each pound up to 8 pounds. For those pumpkins that weigh more than 8 pounds, the cost is $0.49 each pound for the first 8 pounds and $0.25 per each pound after. If Cindy's granddaughter chooses an 11-pound pumpkin, how much will it cost? Write an equation to find the cost of the pumpkin. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.
What is the factor 4x^2-9
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
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Step-by-step explanation:
Add, Subtract, Multiply , or Diviide? ANSWER ASAP 100 points
Answer:
AddStep-by-step explanation:
When multiplying exponents with same base the operation is adding up
a^b*a^c = a^(b+c)Answer:
[tex]add[/tex]
Step-by-step explanation:
When multiplying in same base the operation you have to do is adding
Ex:-
[tex] {a}^{2} \times {a}^{8} = {a}^{2 + 8} = {a}^{10} [/tex]
Express this number in scientific notation.
0.0096
Answer:
9.6*10^negative 3
Step-by-step explanation:
Move the decimal place over 3 times to the right which gives you 9.6. Since you went to the right it would have to be negative 3. So 9.6*10^-3
The graph below shows the cost of tickets to an amusement park.
According to the graph, what would be the cost of one ticket?
Answer:
Where is the graph I can't see
Solve for r in the proportion.
Answer:
r = 15
Step-by-step explanation:
Which table represents a function?
Answer: D
Step-by-step explanation:
For every input there can be only one output. D is the only answer that has one output per input.
$9 for 6 can vegetable soup (find the unit rate)
Answer:
$1.50 per can vegetable soup
Step-by-step explanation:
9 divided by 6
Answer:
$0.66666667 so about $0.67
Step-by-step explanation:
to find how much 1 can of soup is you can divide 6 by 9
6/9= 0.66666667
what is 6.08 rounded to the nearest tenth
Answer:
6.1
Step-by-step explanation:
anything 5 and over you round to one, so .08 turns into .1 :) glad i could help
The given decimal number is rounded to the nearest tenth as 6.1.
The given decimal number is 6.08.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Here, in 6.08 digit in the hundredths place is 8, which is greater than 5.
So, the digit in the tens place increased by 1 and digits after tens place becomes zero.
That is, 6.10
Therefore, the given decimal number is rounded to the nearest tenth as 6.1.
To learn more about the rounding off numbers visit:
brainly.com/question/13391706.
#SPJ6
Sorry for the weird looking image help me please :)
1 : Go .....
[tex]A= bh \: [/tex]
Divided sides by b
[tex] \frac{A}{b} = h \times \frac{b}{b} \\ [/tex]
thus ;
[tex]h = \frac{A}{b} \\ [/tex]
_________________________________
2 : Go .....
[tex]area = height \times length(base) \\ [/tex]
[tex]45 = h \times 9[/tex]
Divided sides by 9
[tex] \frac{45}{9} = h \times \frac{9}{9} \\ [/tex]
[tex]h = 5 \: ft[/tex]
And we're done...
♥️♥️♥️♥️♥️
A man throws a 0.2 N metal ball vertically into the air and observes that after it has traveled upward 2.0 m, it is traveling at 5 m/s. Use the work–energy principle to calculate how much further the ball will continue to travel upward.
1.27 m is the correct answer.