The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)
The problem can be modelled to a linear equation.
Linear equationLinear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
y = total cost of the rental
x = mile driven
Hence,
y = 0.25x + 15
Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:
(15 × 7) + (0.25 × 200)learn more on linear equation here: https://brainly.com/question/1550434
Describe the orbit of a complex number under iteration. Please hurry!
Answer:
The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.
Is (10, 8) a solution to this system of equations?
2x - 5y = -20
X + 9y = 14
A
O a. Yes
b. No
Answer: No, there isn't anything showing that it is.
No
Step-by-step explanation:
Substitute value of x (10) & y (8) in both equation
x + 9y =14
10 + 9 x 8 = 82
(doesn't give us the output of 14)
2x - 5y = -20
2 x 10 - 5 x 8 = - 20
(this does, but both have to work)
Solution is at (-4.8,2.1):
2x +18y =28
2x - 5y = -20
(minus)
(18 - - 5 & 28 - - 20 those minus becomes a + )
23y = 48
÷23
y= 48/23
(2.1 to 1d.p)
Substitute y to find x
2x - 5y = -20
2x - 5 x 48/23 = - 20
2x - 240/23 = - 20
+240/23
2x = -220/23
÷2
x = - 110/23
X= -4.8 to 1d.p
(-110/23, 48/23)
Hope this helps!
There are a total of 165 dogs and cats waiting for homes at the Grand Strand Humane Society. The number of cats is 24 less than twice the number of dogs.
Part A: Identify both variables you are using, then write equations to represent both situations
Part B: How many dogs and cats are waiting to be adopted in the shelter? You must show work. Write your answer in the form of a sentence
Answer:
Part A
Let d = number of dogs
Let c = number of cats
Given:
total of 165 dogs and cats⇒ d + c = 165
Given:
The number of cats is 24 less than twice the number of dogs⇒ c = 2d - 24
Part B
Substitute c = 2d - 24 into d + c = 165 and solve for d:
⇒ d + 2d - 24 = 165
⇒ 3d - 24 = 165
⇒ 3d = 189
⇒ d = 63
Substitute found value of d into d + c = 165 and solve for c:
⇒ 63 + c = 165
⇒ c = 102
Therefore, 63 dogs and 102 cats are adopted in the shelter.
is 3(a+y(6x))+(x+5) associative property of addition?
Answer:
Yes
Step-by-step explanation:
Your welcome!
Have a good day! :)
a florist sold bouquets of red roses to 15 of the first 20 customers who came into his shop. What is the experimental probability how many bouquets of red roses should the florist express to sell on a day with 120 customers?
Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨
Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.
if right I might mark brainiest. try to solve it if you dare x3+y3+z3=k
Answer:
3(x+z+y)=k
Step-by-step explanation:
Which of these strategies would eliminate a variable in the system of equation?
2x+3y=-5
2x-3y=10
One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Eliminating variables from the system of equations?System of equations consists of a different set of equations with unknown variables.
Given the system of equations
2x+3y=-5
2x-3y=10
Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"
(2x-2x)+(3y+3y) = -5 + 10
6y = 5
Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
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To be a member at sal's gym, there is a one-time sign-up fee plus a monthly fee for each month of membership. the table shows the total cost to be a member of the gym for different numbers of months.
Help me with this assignment please I don’t understand it
Please help me.
2 ^ (2x - 3) * .5 ^ (x - 1) = 200
Answer:
x = 3
Step-by-step explanation:
[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]
Comparing like terms on both sides, we find:
[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]
[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]
Solve the following inequality.
-6 < 2x + 8 = 16
[?] < x =
< x <
Step-by-step explanation:
[tex] - 6 < 2x+8< 16[/tex]
-6<2x+8<16
on subtracting 8 from both sides
-14<2x<8
on dividing 2 on both sides
-7<x<4
-7<x<4
I hope it helped you
Find the length indicated. Round answer to the nearest tenth.
Please and thank you so very much!!!!! See picture for the full problem.
Answer:
18.1
Step-by-step explanation:
All radii of a circle are congruent (same length), which means if we draw in a radius from the center to the end of the 16.3, it would be the same length of x.
Now we can use sa very simple theorem.... the pythagorean therom!
[tex]7.9^{2} + 16.3^{2} = x^{2} \\62.41 + 265.69 = x^{2} \\328.1 = x^{2} \\18.1 = x[/tex](rounded)
I hope this helps you.
A person sold a desk for rs. 400 and incurred a loss of 5%
approximately at what price would it be sold so as to earn
a profit of 6%?
a) 420
b)478
c)446
d)432
Answer: C
Step-by-step explanation:
1% of Rs. 400 = 4
10% of Rs.400 = 40
5%= 20
400+20= Rs. 420 was the price the person may have bought it for
To get a 6% profit, we need to add 6% on top of the price the chair was bought for by the owner
so...
420+ 5% +1%
so..
420+20+4= 444
The answer has come to 444 whereas it is not an option as a possible answer and I am unable to see a miscalculation in my working so if anyone spots a mistake it would be much appreciated. I have gotten a value close to one of the possible answers therefore I think the answer most probably should be "C" according to my working, however it may be that the person typing in the question may have written the incorrect options. Either way I have come to a conclusion and if it happens to be a typing error my maths was correct, if no, someone please reach out to me and help me identify where I have gone wrong, Thank you.
Jasmine's credit card has a $2,000 balance that she carried over from last month. assuming her credit card charges an 18 percent annual interest rate, how much will her interest charges be this month?
Using simple interest, it is found that her interest charge this month will be of $30.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
I(t) = Prt
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, considering the time in years, the parameters are:
[tex]P = 2000, r = 0.18, t = \frac{1}{12}[/tex]
Hence:
[tex]I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30[/tex]
Her interest charge this month will be of $30.
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Sophia invests money in an account paying simple interest. She invests $70 and no money is added or removed from the investment. After one year, she has $72.80. What is the simple percent interest per year?
Answer:
72.80= 70(x)^1
x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself
x= 1.04
4% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
What is the simple percent interest?
Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.
Here given that,
Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].
So,
[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]
which is [tex]4[/tex]% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
To know more about the simple percent interest
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In a class of 32 students 3/8 of the students walk to school. How many students in the class walk to school?
Answer:
9
Step-by-step explanation:
divide 32 by 3/8.
that is 1..3333
into a number that would be 9
Question 4 of 30
An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes. The pump should
programmed to deliver _mL/hr.(round to the nearest whole number)
Continue
Ratios are written as fractions or in the form a:b. The pump should be programmed to deliver 133mL/hr
Ratios and proportionRatios are written as fractions or in the form a:b.
According to the question, An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes.
We are to determine the number of mL to be given in 60 minutes (1 hr)
100mL = 45 minutes
x mL = 60 minutes
Take the ratio
100/x = 45/60
Cross multiply
45x = 6000
x = 6000/45
x = 133mL/hr
Hence the pump should be programmed to deliver 133mL/hr
Learn more on ratio and proportion here: https://brainly.com/question/2914376
How to find out what percent a fraction is to another fraction?
For example: 3/8 is _% of 3/4
Brian has reduced his cholesterol level by 10% after his last check up. If his original level was 220, what is his cholesterol level now?
Can yall help me do this
Formula = 4/3 x pi x r^3
4/3 x 3.14 x 7^3 = 1436.03
answer: a. 1436.03 cubic units
Answer:
answer: a. 1436.03 cubic units
Step-by-step explanation:
I took a test
An item on sale cost 65% of the original price. The original price was $19. Find the sale of the price.
Answer:
12.35
Step-by-step explanation:
Just multiply
[tex]19[/tex]
and
[tex]0.65[/tex]
Because
Orginal Price x Sale Cost= Sale of the Price.
[tex]19 \times 0.65 = 12.35[/tex]
PLS HELP WILL GIVE BRAINLIEST NO DAM SCAMS
Answer:
From what I can actually read:
Step-by-step explanation:
289 x 76= 21946
25 x 68= 1700
36 x 75= 2700
200 x 60= 12000
200 x 70= 14000
683 x 18= 12294
548 x 63= 34524
629 x 8= 5032
529 x 37= 19537
548 x 63= 34524
100 x 10= 1000
551 x 64= 35264
456 x 12= 5472
42 x 8= 336
68 x 14= 952
And it dosen't matter if you have a multi- numberd equation, because either way you can use a calculator to do the math. and a trick for multiplying by 10 or 100 or 1000: is lets say you have 5 x 1000, instead of doing any math just multiply 1 x 5= 5 then add 3 zero's because 1000 has 3 zeros. You can do this with any number like 10,100,1000,10000 ; you could go on forever.
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Answer:
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Step-by-step explanation:
Solve for x and round to nearest tenth please:)
Answer:
Step-by-step explanation:
[tex]Sin \ 23^ \circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.3907 = \dfrac{ x}{7}\\\\\\0.3907*7 =x[/tex]
x = 2.7
Answer:
x = 2.7 to nearest tenth.
Step-by-step explanation:
sin 23 = x / 7
x = 7 sin 23
x = 2.735
A volleyball player has a assists per game during a 6 game match. The volleyball player has 42 assists during the entire match. Which equation can be used to find a?
Please I really need it :(
Answer:
6a=42
Step-by-step explanation:
This equation would be used to find a because we don't know how many assists are for each match. And multiplying the a by the 6 games would be equivalent to 42 assists for the entire match.
PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!!
Answer:
2.924
Step-by-step explanation:
First you'll solve the parenthesis:
...- (5.5-5.5)
...-(0)
Now solve the equation:
[tex]\sqrt[3]{5^{2} - 0}[/tex]
[tex]\sqrt[3]{25}[/tex]
Now solve fully
I hope this helps :)
Answer:
the answer is 3 times the square root of 27
Step-by-step explanation:
Here are two squares, A and B.
B
The length of the side of square A is 50% of the length of the side of square B.
Express the area of the shaded region of square A
as a percentage of the area of square B.
Answer:
The shaded region of A is 12.5% of the area of B.
Step-by-step explanation:
Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%
Answer:
12.5%
Step-by-step explanation:
Since it given that the length of the sie of a square A is 50% of the length of the side of square B. As well as given us the question we need to find the answer to which is:
Express the area of the shaded region of square A as a percentage of the area of square B.
What we need:
Area of shaded region of Square A as a % of Area of Square B
Now we can solve but first :
Let "b" be the side length of Square B
Let "a" be the side length of Square A
As well as:
It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,
a = ½b
Area of a square = s², where s is the side length
Area of Square A = (½b)² = b²/4
Area of Square B = b²
Finding the area of the shaded region of the Square A = ½ of area of Square A.
Area of shaded region of Square A = ½*(b²/4) = b²/8
Expressing the area of the shaded portion of square A as a percentage of are of Square B:
Area of shaded portion of Square A ÷ Area of Square B × 100%
Solving:
⇒ [tex]\frac{\frac{b^2}{8}}{b^2}\times100[/tex]
⇒[tex]\frac{b^2}{8}\times\frac{1}{b^2}\times100[/tex]
⇒ [tex]\frac{b^2\times1}{8\timesb^2}\times100[/tex]
⇒ [tex]\frac{b^2}{8\times b^2}\times100[/tex]
⇒ [tex]\frac{1}{8}\times100=12.5[/tex]
Base on the solving above we can conclude that:
The area of the shaded region of Square A is 12.5% of the area of Square B.
~[DiscordUser]~
A right circular cylinder has a height of 2214 ft and a diameter 225 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
v = 3,463,118,874
Step-by-step explanation:
2214 * 225 = 498,510
diameter = 498,510
v = pi(d) * h
v = 3.14(498,510) * 2214
v = 1,564,191 * 2214
v = 3,463,118,874
1) Aladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
Answer:
0.75 feet
Step-by-step explanation:
Let's picture a right triangle, where :
AB = distance b/w bottom of ladder and bottom of wall = 3 feetAC = length of ladder [what we need to find!]BC = distance b/w top of building and bottom of ladderLet the height of the ladder be x.
Then, taking the ratio b/w the adjacent and opposite sides...⇒ tan 14° = 0.249⇒ tan 14° = x/3⇒ x/3 = 0.249⇒ x = 0.249 x 3⇒ x = 0.747 ≅ 0.75 feetAnswer:
0.748 ft (nearest thousandth)
Step-by-step explanation:
Use the tan trig ratio:
[tex]\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = 14°O = xA = 3 ft[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]
[tex]\implies x=3\tan(14)[/tex]
[tex]\implies x=0.7479840085...[/tex]
Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)
Which statute generates statistical data that is generally cited to support findings.
The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.
What is statistical data?It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.
In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.
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