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Related Questions
A. Given the equation 2(3x − 4) = 5x + 6, solve for the variable
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6x - 8 = 5x + 6
6x - 5x = 6 + 8
x = 14 <==
please help!!!! asap
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A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
A .b+5 B. b*5 C. b-5 D. 5-b
Answers
27-5 = 22
22/11 = 11
there are 11 boys at the party
expression = b+5
b + b + 5 = 27
2b + 5 = 27
2b = 27 - 5
2b = 22
b = 22/2
b = 11......there are 11 boys
g = b + 5
g = 11 + 5
g = 16....there are 16 girls
Elizabeth received her last check for the summer job on the 12th and withdrew her car down payment after making another deposit. What is her balance C?
A. $273.50
B. $396.50 (My answer)
C. $285.50
D. $385.50
I added the deposits and then subtracted the withdrawal, is that right?
Answers
Answer: Yes, Her balance C=$396.5.
Step-by-step explanation:
From the given table, the balance amount on 2nd September = $920
On 5th September (9/5/06), Elizabeth deposit amount = $65.00
On 12th September (9/12/06), Elizabeth deposit amount = $61.50
Deposit amount till 12th September=[tex]\$65+\$61.5=\$126.50[/tex]
Therefore, the balance amount on 12th September = [tex]\$920+\$126.20=\$1046.20[/tex]
On 12th September , Elizabeth withdrawal amount = $650.00
Therefore, the balance amount = [tex]C=\$1046.20-\$650.0=\$396.5[/tex]
Hence, B is the right answer.
Her balance C=$396.5.
How do you solve R= us for u
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________________________________________________
Given: R = us ; Solve for "u" ;
Divide each side of the equation by "s" to isolate "u" on one side of the equation; and to solve for "u" ;
R/s = [us] / s ;
R/s = u ;
↔ u = R/s .
_____________________________________________
y-7/2=1/2 (x-4) is written in point-slope form. What is the y-intercept of the equation?
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so
Y-7/2=1/2 (0-4)
y - 7/2 = -2
y = -2 + 7/2
y = -1/2
answer
y intercept (0, -1/2)
The angle between the minute hand and the hour hand of a clock is 90 degrees. What time is it? Justify your answer.
Answers
what is the answer to 2h x 3u
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Wes used 49 quarts of oil when he changed the oil in 7 cars. Complete and solve the proportion to find how many quarts of oin he would use to change the oil in 20 cars, assuming that all cars need to the same quanity of oil.
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49 quarts÷7 cars=7 quarts per car
7 quarts×20 cars=140 quarts
If the APR of a savings account is 1.9% and interest is compounded semiannually, what is the approximate APY of the account
A. 1.9166%
B. 1.9136%
C. 1.9090%
D. 1.9151%
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Answer:
C. 1.9090%
Step-by-step explanation:
We have been given that the APR of a savings account is 1.9% and interest is compounded semiannually. We are asked to find the APY of the account.
To solve our given problem, we will use APY formula.
[tex]APY=(1+\frac{r}{n})^n-1[/tex], where,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year.
Let us convert our given rate in decimal form.
[tex]1.9\%=\frac{1.9}{100}=0.019[/tex]
Upon substituting [tex]r=0.019[/tex] and [tex]n=2[/tex] in APY formula we will get,
[tex]APY=(1+\frac{0.019}{2})^2-1[/tex]
[tex]APY=(1+0.0095)^2-1[/tex]
[tex]APY=(1.0095)^2-1[/tex]
[tex]APY=1.01909025-1[/tex]
[tex]APY=0.01909025[/tex]
Since APY is in decimal form, so we will multiply APY by 100 to get as percentage.
[tex]APY=0.01909025\times 100[/tex]
[tex]APY=1.909025\%\approx 1.9090\%[/tex]
Therefore, the the approximate APY of the account 1.9090% and option C is the correct choice.
Find the perimeter of triangle XYZ with vertices X(3,7), Y(-1,-5) & Z (6,-4)
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The perimeter of triangle XYZ with vertices X(3,7), Y(-1,-5) & Z (6,-4) will be [4√10 + 5√2 + √130] units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
The vertices are given below.
X(3,7), Y(-1,-5) & Z (6,-4)
The length of XY is given as,
(XY)² = (7 + 5)² + (3 + 1)²
(XY)² = 144 + 16
XY = 4√10 units
The length of YZ is given as,
(YZ)² = (- 4 + 5)² + (6 + 1)²
(YZ)² = 1 + 49
YZ= 5√2 units
The length of XZ is given as,
(XZ)² = (7 + 4)² + (3 - 6)²
(XZ)² = 121 + 9
XZ = √130 units
The perimeter of triangle XYZ is given as,
P = 4√10 + 5√2 + √130
More about the triangle link is given below.
https://brainly.com/question/25813512
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3x+5y=4, 2x-y=-7 solve using substitution
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2x-y=-7...(2)
by(2) : y = 2x+7
subsct in (1) :
3x +5(2x+7) = 4
13x = - 31
x = -31/13
y = 2(-31/13)+7 = 29/13
Please,please,please someone answer this!! It's for a math performance task and It's overdue by a couple days so I need to finish it soon!! Please,please,please someone help me!! Worth 50 points PLUS I'll give the person who answers FIRST and BEST the brainlest answer.
Using complete sentences, create your own scenario involving the United States' national debt with any two decades listed in the table. The scenario should include multiplication or division between the numbers in scientific notation. YearUS Nation Debt (in US dollars) 1960 $286,330,760,848.37 1970 $370,918,706,949.93 1980 $907,701,000,000.00 1990 $3,233,313,451,777.25 2000 $5,674,178,209,886.86 2010 $13,561,623,030,891.79
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The scenario describes calculating the multiple of growth in the US national debt from 1970 to 1990 using scientific notation, showing that the debt was nearly 9 times larger in 1990 than in 1970
Let's create a scenario involving the United States' national debt from two different decades using multiplication in scientific notation. Imagine the government wanted to compare the debt from 1970 to that of 1990 to analyze the growth. The debt in 1970 was approximately $370.9 billion, and in 1990, about $3,233.3 billion. To find out how many times larger the debt was in 1990 compared to 1970, we'd convert these numbers into scientific notation and divide the 1990 figure by the 1970 figure.
In scientific notation, the 1970 debt is 3.709 x 1011 dollars, and the 1990 debt is 3.2333 x 1012 dollars. To perform the division, we have (3.2333 x 1012) / (3.709 x 1011) which gives us approximately 8.71. This means the national debt in 1990 was nearly 9 times larger than it was in 1970
The lumberyard where you work sold a customer two boards . They measure 10 1/4 feet and 8 2/4 feet what is the total of the two boards
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Solve the following system of linear equation using any algebraic method. If possible, check your solution.
2x-5y=3
X-2y=7
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-2x+4y=-14
-y=-11
y=11.
x - 22= 7
x= 29
2•(29)-5(11)=3
58-55=3
29-2(11)=7
29-22=7
Which mathematical term cannot be defined for all cases in a system of geometry?
Answers
This should be the answer
Answer:
The answers are :
1. parallel lines
2. midpoint of a line segment
Step-by-step explanation:
The mathematical terms that cannot be defined for all cases in a system of geometry are:
1. parallel lines and
2. midpoint of a line segment.
A parallel line cannot be defined as lines do not occupy any space. It is a straight one dimensional figure with no thickness and it extends infinitely in both directions.
The points also do not have any dimension like length, area, volume etc.
Our teacher had1/2 of an eraser left.she gave that to her 2 students equally.how much of the eraser did every student take home
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If the teacher has 1/2 of an eraser, and she divides it into 2 pieces to give 1 to each of her students, she gives (1/2) / 2 = (1/2) * (1/2) = 1/4 of the eraser to each student.
Each student takes home 1/4 of the eraser.
Hope this helps!
1/2/2= 1/4
Thus each student receives 1/4 of the eraser
Calculate the perimeter of an equilateral triangle which has sides of 14cm
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14 + 14 + 14
42 cm
Hope this helps!
How to find the opposite and the reciprocal of the number 500
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reciprocal will just be the value upside-down, [tex]\bf -500\implies \cfrac{-500}{1}\implies -\stackrel{\textit{reciprocal}}{\cfrac{1}{500}}[/tex]
The opposite to 1/500 is - 1/500
So the opposite and the reciprocal of the number 500 is -1/500
What is the rate at which work is done on the refrigerator? carnot?
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Work done = Energy converted
The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.
For a refrigerator,
The coefficient of performance is Qc / W
For a Carnot refrigerator,
The coefficient of performance is Tc / (Th - Tc).
We have,
The rate at which work is done on the refrigerator depends on the specific context or situation.
In general terms,
Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.
This work is usually done by a compressor, which requires energy input to operate.
The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).
The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):
COP = Qc / W
For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:
COP = Tc / (Th - Tc)
Where:
Tc = Temperature of the cold reservoir (inside the refrigerator)
Th = Temperature of the hot reservoir (outside the refrigerator)
Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.
However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.
Thus,
The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.
Learn mroe about refrigerators and Carnot refrigerators here:
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If AB - 27 and BC=13 then find the length of AC
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AC = AB + BC
AC = 27 + 13
AC = 40
hope this helps
Write a true conditional statement about yourself. Then write the converse of your statement in if-then form. Is the converse true?
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The converse is pretty much switching the if and then, so I get 'If I eat pizza, then pizza is available', which is true .
Fifteen marbles are in a row . 20% are blue.one third are green. Yellow marbles account for 0.2 of the row . The remaining marbles are red. Explain how to find out how many of each color of marbles are in the row
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15(1/3)= 5 are green
15(.20)= 3 are yellow
3+5+3=11 marbles
15-11= 4 that means the rest of them are red.
25. Find the measure of an angle that is 10 more than three times its complement. Show all work in order to receive credit.
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4x=80
x=20
Answer=70
Which ratios forms a proportion with 25/35?
A.3/5
B.15/21
C.24/34
D.5/10
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Because,
25/35 = 15 / 21
Because
25/35 simplified is 5/7
15/21 simplified is 5/7
Answer: its b
Step-by-step explanation:
Holly wants to save money for an emergency. Holly invests 1,500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach 7300? Round your answer to the nearest hundredth.
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A=p (1+r)^t
A future value 7300
P present value 1500
R interest rate 0.0675
T time?
7300=1500 (1+0.0675)^t
Solve for t
Divide both sides by 1500
7300/1500=1.0675^t
Take the log for both sides
Log (7300/1500)=t×log (1.0675)
Divide both sides by log (1.0675)
T=log(7,300÷1,500)÷log(1.0675)
T=24.2 years round your answer to get 24 years
Hope it helps!
A= P(1+i%)ⁿ , where P is the original capital, i% = interest and n= number of years
7300 = 1500(1 + 0.0675)ⁿ
7300/1500 = (1.0675)ⁿ
4.86666 = (1,0675)ⁿ
log(4.86666)= n.log(1.0675)
0.687231 = n(0.028367)
n = 0.687231 / 0.028367
n = 24.23 years
0.45 divided by 150
Help me please 20 points for being a helping hand
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Answer: 0.003
Explanation:
Anna is 4ft 9in tall. Express Anna's height infeet only by using a mixed number. If necessary, simplify the fravtion part of the mixed number.
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12 inches in a foot so 9 inches = 9/12 of a foot
9/12 reduces to 3/4
so 4 ft 9 inches = 4 3/4 feet
Can you square root both sides of inequality
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50 students in 4 buses how many in each bus