Answer:
Algebra is a abstract way of thinking about things. We usually see this by defining things we don't know as some sort of symbol (Matter of fact. All of Mathmatics revolves around symbols). It doesn't necessarily have to be a number. I could label some big brown sturdy thing with green stuff on top as a tree which in a mathmatical sense the tree would be the variable and the actual thing would be the thing inside of the variable. But basically it's an abstract way of thinking
Step-by-step explanation:
It requires 350 joules to raise a certain amount of a substance from 10. 0°C to 30. 0°C. The specific heat of the substance is 1. 2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g.
The correct option is B which is 15 g.
Given to us:
the heat [tex]Q= 350\ Joules[/tex],
the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],
the lower temperature [tex]t_1= 10^o C[/tex],
the higher temperature [tex]t_2= 30^o C[/tex],
Formula for specific heat:
[tex]Q=mc(\Delta T)[/tex]
where,
[tex]m[/tex] is the mass,
[tex](\Delta T)[/tex] is the temperature difference,
Putting in the values;
[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]
Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.
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A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?
Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)
Answer:
B
Step-by-step explanation:
For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get
1.09x + 1.59y + 1.59z
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
is it 1?
Step-by-step explanation:
The price of an item has been reduced by 20% The original price was $32 find the price of the item now.
Answer:
25.6
Step-by-step explanation:
32-(32*20%)=32-6.4=25.6
What is 10/11x11/12 in the fraction form
Answer:
83/100
Step-by-step explanation:
10/11x11/12 is 0.8333333....
Please help
Thank you
Answer:
m ∠JPN = 131°
Step-by-step explanation:
m ∠JPL = m ∠MPK Vertical angles are =
7x + 19 = 11x -17 Substitution
- 4x = -36 Algebra: Solving for x
x = 9 Algebra: Solving for x
m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19
m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement
angles = 180°
82° + m ∠LPK = 180° Substitution
m ∠LPK = 98° Algebra
m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem
PN bisects ∠LPK Given
m ∠LPN = m ∠NPK Definition of angle bisector
98 ° = 2 ( m ∠LPN) Substitution
m ∠LPN = 49° Algebra
m ∠JPN = m ∠JPL + m ∠LPN Angle Addition
m ∠JPN = 82° + 49° Substitution
m ∠JPN = 131° Addition
find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
Please help. Question a and b
Match each inequality with its solution set.
1.
5 - 3x ≥ 11
2.
1 + 3x ≥ -5
3.
5x + 7 ≥ 17
4.
2x + 1 ≤ 3
1.
5 - 3x >= 11
-3x >= 11-5
-3x >= 6
3x <= -6
x <= -6/3
x <= -2
x ∈ (-∞ ; -2]
2.
1 + 3x >= - 5
3x >= -5 - 1
3x >= -6
x >= -6/3
x >= - 2
x ∈ [-2 ; + ∞)
3.
5x + 7 >= 17
5x >= 10
x >= 10/5
x >= 2
x ∈ [2 ; + ∞)
4.
2x + 1 <= 3
2x <= 2
x <= 1
x ∈ (-∞ ; 1]
Good Luck
the table shows the height of the sage bush at each of 2 ages. what was the bushes average rate of growth per year during this time period. pls answer quick
Answer:
2.4 inches a year
Step-by-step explanation:
It took 5 years for the bush to grow 22 inches, and it went up by 12 inches in 5 years. So, the easiest thing to do is 12 / 5 = 2.4 inches a year. :)
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in a concert hall, there are 16 chairs in the first row, and each row has 4 more chairs than the previous row. there are 14 rows altogether. how many chairs are there in the concert hall?
2.
In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
Answer: the answer is 3.7%
Step-by-step explanation:
We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80
3/80=0.0375
to find percentage take 0.0375 and multiply it by 10 to get 3.7
therefor the answer is 3.7%
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
[tex]\frac{54}{75} = 72[/tex]
54 out of 75 is a percentage of 72%.
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The percentage of the goal did he achieve will be 72%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.
The percentage of the goal did he achieve will be calculated as,
P = (54 / 75) x 100
P = 0.72 x 100
P = 72%
The percentage of the goal did he achieve will be 72%.
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Rafael runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes
Answer:
2.8 miles
Step-by-step explanation:
Speed of Rafael = 7 miles / 60 min = 7/60 miles/min
Time for next run = 24 min
Length of the next run = 7/60 miles/min *24 min = 2.8
8 is 16% of (blank) please help (:
Answer:
50
Step-by-step explanation:
8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8
Ricardo wants to cover a shelf with shelf
liner. The shelf is 4 feet wide and feet
deep. What is the area of the shelf?
Answer:
16 also th8s needs to be 16 letters long lol
Step-by-step explanation:
4 times 4 is 16
How many fourth-fifths are in eight
Answer:
10
Step-by-step explanation:
8 ÷ 4/5 = 10
I hope this helps!!
I need helpppppppppppop
Answer:
Step-by-step explanation:
Domain: I don't see any restrictions on the domain, although at some point y will become exceedingly large.
Range: -9 to infinity
Increasing Interval: x>2
Decreasing Interval: x <2
End behavior:
- as x ⇒∞, y⇒∞
Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the x axis at one to a minimum around y equals negative zero point six and goes up to cross the x axis two to a maximum around y equals zero point two and and then goes back down to a touch the x axis at three and then goes back up to the top right. f(x) = (x − 3)2(x + 2)(x − 1) f(x) = (x + 3)2(x − 2)(x + 1) f(x) = (x + 3)2(x + 2)(x + 1) f(x) = (x − 3)2(x − 2)(x − 1)
Answer:
(d) f(x) = (x − 3)^2(x − 2)(x − 1)
Step-by-step explanation:
In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.
A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...
f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice
What is the greatest common factor of 8, 28, and 48?
[tex] \: \: \: \: \: \: \: [/tex]
the GCF of 28,48 are GCF OF 281 , 2, 4, 7, 14, 28GCF OF 48
1 , 2, 3, 4, 6, 8, 12, 16, 24, 48 hope it helpsThe greatest common factor of 8, 28, and 48 is 4.
Greatest Common FactorThe largest common factor out of all the numbers in the given set is known as Greatest Common Factor.
How to evaluate Greatest Common Factor?Factors of 8, [tex]8=2\times 2\times 2[/tex]
Factors of 28, [tex]28=2\times 2\times 7[/tex]
Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]
The common factors in the above set of numbers are 2and 2.
So, the Greatest Common Factor of 8, 28, and 48 is [tex]2\times 2=4[/tex].
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List the ordered pairs
Step-by-step explanation:
C. in descending order by weight<br /><br />
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every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
First we need to differentiate y
[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]
[tex]\\ \sf\Rrightarrow -32x-110[/tex]
Now let it be 0
[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]
[tex]\\ \sf\Rrightarrow -32x=110[/tex]
[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]
[tex]\\ \sf\Rrightarrow x=3.44s[/tex]
Put it in y
[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]
[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]
Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi
143
21
7
5
and if you can go answer my other questions????? plzzz
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.
Answer:
562 = 85x +52
x is the number of days
Veronica traveled for 7 days
Step-by-step explanation:
562 = 85x + 52
510 = 85x Subtract 52 on both sides
6 = x Divide by 85 to isolate x
Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.
this question is kind of confusing and i need help, please and thank you! :)
ummmmmmmm a lot and alot
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
A.564
B.420
C.427
D.394
Write and solve an equation for the following:
Answer:
x = 12
Step-by-step explanation:
The measures of ∠XYW and ∠WYZ would equal m∠XYZ.
[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]
Hope this helps.
I don't know what to do
Answer:
See answer below.
Step-by-step explanation:
P(v) = -4v³ + 12v² - 9v
Point (-5, -845) is not a point on the graph
P(-5) = -4(-5)³ + 12(-5)² - 9(-5)
P(-5) = 500 + 300 + 45
P(-5) = 800 + 45
P(-5) = 845 point (-5, 845) is a solution