Given:
\(\begin{gathered} x+y=-3\ldots\ldots\ldots\ldots(1) \\ 4x+4y=-12\ldots\ldots\ldots\ldots(2) \end{gathered}\)To find: The solutions of x and y.
Explanation:
Let us write the equation in slope-intercept form.
\(\begin{gathered} y=-x-3\ldots\ldots\ldots(3) \\ y=-x-3\ldots\ldots\ldots(4) \end{gathered}\)List two reasons why a graph is proportional.
You may not use these words: Oregon C.O.P Proportional straight
(fill in the sentence)
I know that a graph is Proportional when it is a _______ Line and it passes through the _______
Answer:
can you ask another question with the picture of the graph pls
Drawing one card from a standard deck of cards. what is the sample space and outcome?
Answer:
sample space 2 inches outcome 1/52
Step-by-step explanation:
complete the table .. a , b ,c or D ?
Answer:
its B or D cant tell you the rest!
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
its B if you plug in the values of B as x into y = 1/2 * x you get the y-coords - the points are valid so its b
An investment account was opened with an initial deposit of 9,600 and earns 7.4% interest compounded continuously, how much will the account be worth after 15 years?
Answer:
10,656
Step-by-step explanation:
I=PRT
I=(9600)(0.074)(15)
Multiply those
I=10,656
In 15 years, will have $28,011.44 if 7.4% interest compounded continuously.
What is interest ?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR).Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.Interest is frequently regarded as compound interest or simple interest (based on the principal amount) (based on principal and previously-earned interest).Credit cards, mortgages, auto loans, personal loans, savings accounts, and penalty assessments are all frequently linked with interest.The macroeconomic policy set by the Federal Reserve's federal funds rate has a significant impact on interest rates.To learn more about interest, refer to
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What’s 137% x 680? give your answer to 1 decimal place
if we will divide 137 with 100 and then multiply it with 680 you will gett your answer
the answer is 931.6
Answer:
931.6
Step-by-step explanation:
We need to change the percent to decimal form.
137% = 1.37
Multiply this by 680.
1.37 * 680
931.6
Complete each ordered pair so that it is a solution of the given linear equation First ordered pair is (-15,?)The second of ordered pair is (?,-5)
To find the first ordered pair put x=-15 in the equation to get:
\(y=\frac{1}{5}(-15)-1=-4\)So the first ordered pair is (-15,-4).
To find the second ordered pair, put y=-5 in the equation to get:
\(\begin{gathered} -5=\frac{1}{5}x-1 \\ -4=\frac{1}{5}x \\ x=-20 \end{gathered}\)So the second ordered pair is (-20,-5).
Evaluate 3x - 7 when x = 4
Answer:
5
Step-by-step explanation:
3x-7
=3×4-7
=12-7
=5..........
Find the sum of the following finite geometric series.
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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Please help it would help me alot!!!
Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23
Step-by-step explanation:
The measures of the angles of the triangle are 32°, 53º,
950. Based on the side lengths, what are the measures
of each angle?
m2A = 95°, mZB = 53º, mZC = 32°
MZA= 32º, mzB = 53º, mZC = 95°
MZA= 43º, mZB = 32°, m2C = 95°
OmZA= 53º, m B = 95°, m2C = 32°
Answer:
m∠A = 32°
Step-by-step explanation:
8^2 = 12^2 + 15^2 - 2*12*15*cosA
Answer:
B
Step-by-step explanation:
did it on edge
Assets Liabilities and Net Worth Reserves $51 Checkable Deposits $140 Loans 109 Stock Shares 130 Securities 100 Property 10 Refer to the accompanying consolidated balance sheet for the commercial banking system. Assume the required reserve ratio is 30 percent. All figures are in billions. If the commercial banking system actually loans the maximum amount it is able to lend, excess reserves will be reduced to
If the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.
Given that the required reserve ratio is 30 percent and all figures are in billions, the following table shows the total reserves, excess reserves, and required reserves:
Required reserve ratio 30% Checkable deposits $140Billion Reserves required (30% of checkable deposits)$42Billion Reserves held $51Billion Excess reserves held $9Billion Loans outstanding $109Billion Total Securities $100Billion Total Property $10Billion Total Assets $260Billion Stock shares $130Billion Total liabilities $130Billion Net worth (total assets - total liabilities) $130Billion.
Therefore, the total reserves held is $51 billion, and the reserves required is 30% of $140 billion, which is $42 billion.
This implies that the excess reserves are $9 billion.The maximum amount the commercial banking system can lend out is $51 billion minus $42 billion, which is $9 billion.
This indicates that if the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.
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-3/5 divided by - 3/4 PLEASE HURRY make it in simplest form please
Answer: Exact Form: 4 /5
Decimal Form: 0.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Cancel -3
\(\frac{1}{5x4}\)
Simplify 5 x 4 to 20.
\(\frac{1}{20}\)
Decimal Form: 0.05
How long will the trip be if they dont stop?
We have the following relationship:
\(\begin{gathered} 65\text{ miles ----- 1hour} \\ 648\text{ miles ---- x} \end{gathered}\)By applying the rule of three, we get
\(x=\frac{(648)(1)}{65}\)then, x is given by
\(\begin{gathered} x=\frac{648}{65} \\ x=9.969 \end{gathered}\)this means that the trip will take around 10 hours
The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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Jim’s pay is £240 each week. Jim asks his boss for an increase of £40 a week. Jim’s boss offers him a 15% increase. Is the offer from Jim’s boss more than Jim asked for?
You must show your working.
40 / 240 is 1 / 6 which is 16.6666666667%, 15 is slightly less so the offer is NOT more than what jim asked for
A survey asked people what alternative transportation modes they use. The results are below:
16% of people answered light rail.
10% of people answered bus.
11% of people answered carpool.
2% of people answered carpool and bus.
6% of people answered light rail and carpool.
3% of people answered light rail and bus.
2% of people answered all three.
Fill in the following Venn Diagram with the percents that each region represents then answer the
questions below.
light rail
IV.
11.
VII.
bus
%
VI.
carpool
III.
What percent of people answered light rail or bus, but not carpool? 15
What percent of people answered carpool and bus?
What percent of people did not answer light rail, carpool, or bus?
y
What percent of people answered exactly one of the options?
What percent of people answered light rail, carpool, or bus?
VIII.
%
%
%
U
%
Fill in the Venn Diagram and answer the questions.
Thank you.
The completed Venn Diagram is given by the image shown at the end of the answer.
The percentages are given as follows:
Light rail or bus, but not carpool: 10%.Carpool and bus: 0%.Did not answer light rail, carpool or bus: 72%.Exactly one: 21%.Light rail, carpool, or bus: 28%.How to fill the Venn Diagram?The Venn diagram starts to be filled from the most restrictive conditions, towards the least restrictive.
2% of people answered all three, hence:
V = 2%.
3% of people answered light rail and bus, hence:
IV + V = 3%
IV = 1%.
6% of people answered light rail and carpool, hence:
II + V = 6%
II = 4%.
2% of people answered carpool and bus, hence:
V + VI = 2%
V = 0%.
11% of people answered carpool, hence:
III + II + V + VI = 11
III + 4 + 2 + 0 = 11
III = 5%.
10% of people answered bus, hence:
IV + V + VI + VII = 10
1 + 2 + 0 + VII = 10
VI = 7%.
16% of people answered light rail, hence:
I + II + IV + V = 16
I + 4 + 2 + 1 = 16
I = 9%.
Then the or percentage is given as follows:
9 + 7 + 5 + 1 + 2 + 4 = 28%.
The percentage that uses other mediums is given as follows:
VIII = 100 - 28 = 72%.
Then the missing percentages are given as follows:
Light rail or bus, but not carpool: I + IV = 9 + 1 = 10%.Carpool and bus: VI = 0%.Exactly one: I + III + VII = 9 + 5 + 7 = 21%.More can be learned about Venn Diagrams at https://brainly.com/question/24713052
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A driver starts a trip with 30 gallons of gasoline in the tank of his car. The car
burns 4 gallons for every 80 miles. Assuming that the amount of gasoline in the tank decreases linearly, write a linear function that relates the number of gallons G left in the tank after a journey of "d" miles.
Answer:
Step-by-step explanation:
We have to look at this as something as basic as combining like terms. We know that the driver starts with 30 GALLONS of gas and loses x GALLONS while driving, giving us an equation that says
Gallons of gas used = Gallons in car - gallons used; in other words, if everything is in the same label, you can subtract. We start off with 30 gallons, thus:
Gallons of gas used = 30 G
That's a start, at least. Now we need to figure out how much is burned. Remember, in order to do any subtraction at all we have to have like labels, so we need what goes after that subtraction sign to also be a label in gallons, G. The driver burns 4 gallons per 80 miles times how many miles he drives, so the expression for that is
\(\frac{4G}{80mi}*dmi\) and what happens here is that the label of miles cancels out, leaving us with just G, which is what we're after. The whole equation then is
\(G=30-\frac{4}{80}d\), choice 1
Wrote 7/19 as a percent round to the nearest tenth of a percent
Answer:
36.8
Step-by-step explanation:
Hope this should do the trick if you can find this answer; 36.8.
After one week looking, Austin has 7 pet lizards he has found in his neighborhood. Each week, he is hoping to catch 3 more to add to his collection. How many lizards will he have after 8 weeks
Answer:
31 lizards
Step-by-step explanation:
Assuming that Austin does find 3 more lizards each week, then 3*8 weeks=24 lizards over 8 weeks. 24+the 7 lizards he already found=31 lizards in all. Hope this helps.
Austin will have 31 pet lizards after 8 weeks
How we will find the answer?First we will find total lizards in 8 weeksAfter finding total lizards in 8 weeks we will just add more 7 seven lizards to find total pet lizards after 8 weeksWhat are steps to solve the problem?The steps are as follow:
Given Austin has 7 pet lizards he has found in his neighborhoodEach week, he is hoping to catch 3 more to add to his collectionSo lizards in 8 weeks = 8 x 3 = 24 lizardsSo total lizards after 8 weeks = 24 + 7 = 31 lizardsTherefore Austin will have 31 pet lizards after 8 weeks
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Which correlation best describes the data below. no correlation weak positive weak negative strong positive
Mr. Brown plowed 6 acres in 1 hour. At this rate, how long will it take him
to plow 21 acres?
Answer:
3 and a half hours
Answer:3.5 hours
Step-by-step explanation:
6 acre= 1 hour
60 min ÷6= 10 min for 1 acre
10 ×21= 210
210÷60=3.5 hours
Please help! Thank you.
Answer:
2.478x10^7
Step-by-step explanation:
They give you each radius, so you just add them together.
15,300,000+9,480,000=24,780,000 = 2.478x10^7
(or)
1.53x10^7+0.948x10^7= 2.478x10^7
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
[(5^2)^2]^2
how to do this
Step-by-step explanation:
{(5^2)^2}^2(5^4)^25^8Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
what is the twelfth term in the sequence 13,26,39, ...?
Answer:
166
Step-by-step explanation:
Brainliest and a thanks??
Term 1: 13
Term 2: 26
Term 3: 39
Term 4: 52
Term 5: 65
Term 6: 78
term 7 : 91
Term 8: 104
Term 9: 117
Term 10: 130
Term 11: 143
Term 12: 156
OR 13*12=156
Add 13 every time until you add it 12 times you will get 156. Or you can mulitply 13*12 you will get 156. Multiply is much easier though!!
Hope this helps!
Answer=156
Have a great day!
- Hailey!
(nothing is copied or pasted!!!)
Work out the following sheet,please
a) The measure of <ABC is 131 degree.
What is Angle sum property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle.
The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle.
Given:
a) As <ACD= 90
and Triangle BCD is an equilateral triangle then each of its angle measure 60 degree.
So, <ACD= 90
<ACB + <BCD = 90
<ACB = 90 - 60
<ACB = 30
and, <BAC = 19
Using Angle sum property in Triangle ACB
19 + <ABC + 30 = 180
<ABC = 180 - 49
<ABC = 131 degree.
b) Bow, In Triangle HEF using Angle sum property
<E + <F + <EHF = 180
<EHF = 180 - (69+ 40)
<EHF = 71 degree.
Then, <GHE + <EHF + <FHI
= 72 + 71 + 37
= 180, which forms on straight line.
Thus, GHI is a straight line.
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I need help please I can only find 2 of these solutions
Step 1: Isolate the Sin Operator
\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)
Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable
Note that since trig functions have 2 general solutions, this will give us one of our general solutions.
\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)
x₁= 0.48
Solving for x₂
Use the period identity for Sin Functions
\(sin(x)=sin(\pi -x)\)
X in this case is arcsin(0.25)
\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)
So our two general solutions are 0.48 and 5.52
Step 3: Period
Trig Functions have periodic behavior and this function period is
\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)
So our general solutions are
0.48±12k, where k is an integer
5.52±12k, where k is an integer
Let k=1, and we get our next set of solutions:
12.48 and 17.52
So our answer is 0.48,5.52,12.48,17.52
Fill in the missing sign:-
a) =
b) >
c)
Answer:
the missing sign is for c) is <