Equation 1: -x-y = 1y, -x = 2y
Equation 2: 1y = x+3 , y = x+3
Substitute equation 2 into equation 1
-x = 2y
-x = 2(x+3)
-x = 2x + 6
-3x = 6
x = -2
Substitute x=-2 into equation 2
y = x+3
y = -2+3
y = 1
So, (x,y) = (-2,1)
Working alone, Pablo can put up a tent in 12 minutes. His mom can put it up by herself in 4 minutes. How many minutes would they take to put up the tent working together?
Pablo amd his mom would take Eight minutes
Final answer:
Pablo and his mom would take 3 minutes to put up the tent working together, as they combine their work rates to determine their joint effectiveness.
Explanation:
To determine how many minutes Pablo and his mom would take to put up the tent working together, we can use the concept of combined work rates. Pablo can put up a tent in 12 minutes and his mom can do it in 4 minutes. We calculate their combined work rate by adding the reciprocal of each person's time because working together means their rates add up.
Pablo's rate is 1 tent per 12 minutes, or 1/12 tents per minute. His mom's rate is 1 tent per 4 minutes, or 1/4 tents per minute. Combined, their rate is (1/12) + (1/4) tents per minute.
First, find a common denominator for the fractions, which would be 12 in this case, so we get:
(1/12) + (3/12) = 4/12
Therefore, their combined rate is 4/12 or 1/3 tents per minute. To find out how long it would take them to set up one tent, we take the reciprocal of the combined rate. Thus, 1 tent would take them 1/(1/3) minutes, or simply 3 minutes.
Working together, Pablo and his mom can put up the tent in 3 minutes.
what is the partial quotients of 43.2÷16=
43.2/16= 2.7
Answer: 2.7
Your answer would be 2.7
Convert the angle 0=133π/72 radians to degrees
The result is 332.5 degrees.
To convert an angle from radians to degrees, we use the conversion factor that 1 radian = 180/π degrees. In this case, the angle is 133π/72 radians.
So, to convert 133π/72 radians to degrees, we multiply by the conversion factor:
(133π/72) * (180/π) degrees.
Solving this gives us the angle in degrees:
133 * 180 / 72 = 332.5 degrees.
Solve for s. 2s = 7 + s
Hello, let's solve this step by step.
You're asking, 2s=7+s and to solve for S.
Now first, simplify both sides of the equation.
2s=s+7
Then, subtract s from both sides.
2s−s=s+7−s
Simplify to get 7.
Therefore, S = 7.
What is the slope of the line that passes through
the points (12,-3) and (-36,25)?
The slope is found by the change in Y over the change in X.
Slope = (25 - -3) / (-36 - 12)
Slope = 28 / -48
Simplify:
Slope = -7/12
Find the value of y .
8/20 = y/60
y = ___.
Y=24 because 60/20 is 3. 3*8 is 24
Answer:
[tex]y=24[/tex]
Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.
[tex]\frac{8}{20}=\frac{y}{60} \\ \\ 20y=480 \\ \\ y=24[/tex]
What is the surface area of a cube with side lengths of 1/7
Please help
Answer: 0.122449
Step-by-step explanation:
If one side is 1/7, first convert that into a decimal, which is 0.14286. Than square that 0.14286 x 0.14286= 0.020408. That’s the area of one square. Now multiply that by 6 (the number of sides in a cube) and you get 0.122449.
Business services ordered a chair that cost $220.59. Upon arrival they received an invoice for $261.47. If the California sales tax rate is 7.9% what is the cost of shipping and handling
Answer:
Cost of shipping and handling = $23.453
Step-by-step explanation:
Given
Price of Chair=$220.59
Tax=7.9%
Invoice Price=$261.47
In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.
To find the tax,
Tax amount=220.59*0.079
=$17.42661
Now,
Cost of shipping and handling=$261.47-$220.59-$17.42661
=$23.453 ..
Answer:
The cost of shipping and handling is $23.45 .
Step-by-step explanation:
As given
Business services ordered a chair that cost $220.59.
if the California sales tax rate is 7.9%
7.9% is written in the decimal form
[tex]= \frac{7.9}{100}[/tex]
= 0.079
Thus
Sales tax price = 0.079 × Cost of the chair
= 0.079 × $220.59
= $ 17.43 (Approx)
Thus
Cost of the ordered chair with sales tax price = Cost of the chair + Sales tax price .
= $ 220.59 + $17.43
= $ 238.02
As given
Upon arrival they received an invoice for $261.47.
Thus
Cost of shipping and handling = Cost mentioned in invoice - Cost of the ordered chair with sales tax price.
Put all the values in the above
Cost of shipping and handling = $261.47 - $238.02
= $ 23.45
Therefore the cost of shipping and handling is $23.45 .
The ratio of Sam’s height to joe’s height is 5:6. Sam is 57”tall, how tall is joe
Joe is 68.4” tall. Set the ratio of 5/6=57/x, solve using the butterfly method (multiply 57 and 6, set equal to 5x) 57•6 is 342, so at this point it would be 342=5x. 342/5 is 68.4
Type the correct answer in each box.
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is_____ units. The point (-15, ___) lies on this circle.
Answer:
1. r=17
2. (-15,14) or (-15,-16)
Step-by-step explanation:
The radius of the circle is the distance from the center to the point on the circle, thus
[tex]r=\sqrt{(8-(-7))^2+(7-(-1))^2}=\sqrt{15^2+8^2}=\sqrt{225+64}=\sqrt{289}=17.[/tex]
The equation of the circle is
[tex](x-(-7))^2+(y-(-1))^2=r^2\\ \\(x+7)^2+(y+1)^2=289.[/tex]
If point lies on this circle, then its coordinates satisfy the circle's equation:
[tex](-15+7)^2+(y+1)^2=289\\ \\64+(y+1)^2=289\\ \\(y+1)^2=225\\ \\y+1=15\text{ or }y+1=-15\\ \\y=14\text{ or }y=-16[/tex]
the radius of the circle is 17 units.
the two possible points on the circle are (-15, 14) and (-15, -16).
The question requires calculating the radius of a circle given two points: the center of the circle and a point on the circumference. To find the radius, we will use the distance formula, which is derived from the Pythagorean theorem. The distance formula to find the distance between two points (x1, y1) and (x2, y2) is \\(
√{(x2 - x1)^2 + (y2 - y1)^2}\\).
Applying the distance formula with the center at (-7, -1) and a point on the circle being (8, 7), we get: \\(
√{(8 - (-7))^2 + (7 - (-1))^2}) = (√{(15)^2 + (8)^2}) = (√{225 + 64}) = (√{289}) = 17. Thus, the radius of the circle is 17 units.
To find the missing y-coordinate of the point (-15, ___) that lies on this circle, we use the circle's equation with its center at (-7, -1): ((x + 7)^2 + (y + 1)^2 = 17^2). Substituting x = -15, we solve for y.
((-15 + 7)^2 + (y + 1)^2 = 17^2)
((-8)^2 + (y + 1)^2 = 289)
64 + (y + 1)^2 = 289
(y + 1)^2 = 225
y + 1 = (√{225}) or y + 1 = -(√{225})
y = 14 or y = -16
Therefore, the two possible points on the circle are (-15, 14) and (-15, -16).
A. Set A is an exponential function and the values increase at a faster rate than Set B.
B. Set B is a linear function and the values increase at the same rate as Set A
C. Set A is a linear function and the values increase at the same rate as Set B.
D. Set B is an exponential function and the values increase at a slower rate than Set A
Answer:
The correct answer is A.
Suppose you select a card at random from a standard deck of cards 60 times, and 12 of those selections are hearts. How does the experimental probability compare to the theoretical probability? Include the difference between both types in your explanation.
A standard deck is composed of 52 cards, and contains 13 cards per suit. So, the theoretical probability of picking a card of any suit (and thus, in particular, a heart) is given by
[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts in the deck}}{\text{\# of cards in the deck}} = \dfrac{13}{52} = \dfrac{1}{4}[/tex]
On the other hand, the experimental probability is (as the name suggests) the probability that we can deduce from our experiment: we picked 60 cards, and 12 of these were hearts. This means that it would seem to us that
[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts we picked}}{\text{\# of cards we picked}} = \dfrac{12}{60} = \dfrac{1}{5}[/tex]
help quick pls---
(I'm terrible at math-)
Answer:
n= -0.7
Step-by-step explanation:
so first subtract 1.8 from 3.2 and then divide by -2
-2n = 1.4
n = -0.7
hope this helps!!
Find the GCF of the three terms below
20xy^2+10xy^3+15x^3y^2
and rewrite the expression by factoring out the GCF
ANSWER
[tex]GCF=5x {y}^{2}
[/tex]
[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]
EXPLANATION
The given expression is
[tex]20x {y}^{2} + 10x {y}^{3} + 15 {x}^{3} {y}^{2} [/tex]
This can be rewritten as:
[tex] {2}^{2} \times 5x {y}^{2} + 2 \times 5x {y}^{3} + 3 \times 5{x}^{3} {y}^{2} [/tex]
The greatest common factor is the product of the least powers of the factors common to all the terms;
[tex]GCF=5x {y}^{2}
[/tex]
We factor to obtain;
[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]
1. Simplify (4x + 2)3.
Answer:
12x^2
Step-by-step explanation:
The correct answer after simplification is [tex]=64x^3+98x^2+48x+8[/tex]
To simplify (4x + 2)3, Use the identity,
[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\\\a = 4x \\b= 2[/tex]
Put the value of a nd b in the identity and simplify,
[tex]\left(4x+2\right)^3=\left(4x\right)^3+3\left(4x\right)^2\cdot \:2+3\cdot \:4x\cdot \:2^2+2^3\\\\[/tex]
Perform elementary multiplication and addition,
[tex]=64x^3+98x^2+48x+8[/tex]
The correct answer is [tex]=64x^3+98x^2+48x+8[/tex]
Learn more about Polynomial identities here"
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If a line falls on the points (8,9) and (3,8)what is its slope?enter your answer as a fraction in lowest terms. Use a slash mark (/) as a fraction bar.
Answer:
1/5
Step-by-step explanation:
it went up one on the y axis and 5 on the X and the formula is rise/run or up/left
Gox2
can I have help on this question plz and if you help me I would be glad to help you too
if you mean 60 × 2 it will be 120
Answer:
12
Step-by-step explanation:
just use google or a calculater or a phone
easy chose a,b,c,d wich ones please help easy
Answer:
A; The integer is 16
B; The integer has an absolute value of 16
D; The integer has an absolute value of 16
Answer:
b and d
Step-by-step explanation:
Place the indicated product in the proper location on the grid. 3a^n(a^n + a^n-1) =
Answer:
[tex]\large\boxed{3a^n(a^n+a^{n-1})=3a^{2n}+3a^{2n-1}}[/tex]
Step-by-step explanation:
[tex]3a^n(a^n+a^{n-1})\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3a^n)(a^n)+(3a^n)(a^{n-1})\qquad\text{use}\ x^n\cdot x^m=x^{n+m}\\\\=3a^{n+n}+3a^{n+n-1}\\\\=3a^{2n}+3a^{2n-1}[/tex]
Which is equivalent to 3log28 + 4log21 2 − log32?
Answer:5-log^3 2
Step-by-step explanation:
Answer:
The answer is 5-log 3 2
Step-by-step explanation:
this is the answer on edge
you're welcome
For a field trip 8 students rode in cars and the rest filled ten buses. How many students were in each bus if 538 students were on the trip?
Answer:
538-8=530
530/10=53
your answer is 53 students
Step-by-step explanation:
on the vent diagram, which region represent the intersection of set a and set b (AnB)
Answer:
Step-by-step explanation:
Section II would be correct
ANSWER
ii
EXPLANATION
The region that represents A intersection B is region ii.
This is the region that contains elements that belongs to A or B or both.
From the Venn Diagram,
[tex]A\cap B = ii[/tex]
The correct choice is A.
PLZ HELP 10 POINTS!!!!!!!!!!!
Answer: The answer is D) 126in3
Step-by-step explanation:
When you multiply 42 and 9 you get 378, so from there you divide your answer by 3 which gets you
126in
What is tan M for this triangle? Enter your answers in the boxes.
tan M= ?/?
Answer:
Tan (M) = m/p
Step-by-step explanation:
Tan (M) = Oppo. / Adj.
Tan (M) = m/p
The required value of the tanM for the given triangle is tanM = m/p.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
For the given triangle,
TanM = perpendicular / base
From the figure perpendicular = m, base = p
Now,
tanM = m/p
Thus, the required value of the tanM for the given triangle is tanM = m/p.
Learn more about trigonometry equations here:
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Solve the equation 6w2 – 7w – 20 = 0.
A. w = –4⁄3, w = 2⁄5
B. w = –4⁄3, w = 5⁄2
C. w = –3⁄4, w = 5⁄2
D. w = –5⁄2, w = 4⁄3
Answer:
[tex]\large\boxed{B.\ w=-\dfrac{4}{3},\ w=\dfrac{5}{2}}[/tex]
Step-by-step explanation:
[tex]6w^2-7w-20=0\\\\6w^2-15w+8w-20=0\\\\3w(2w-5)+4(2w-5)=0\\\\(2w-5)(3w+4)=0\iff2w-5=0\ \vee\ 3w+4=0\\\\2w-5=0\qquad\text{add 5 to both sides}\\2w=5\qquad\text{divide both sides by 2}\\\boxed{w=\dfrac{5}{2}}\\\\3w+4=0\qquad\text{subtract 4 from both sides}\\3w=-4\qquad\text{divide both sides by 3}\\\boxed{w=-\dfrac{4}{3}}[/tex]
find the slope (4,1 2/3) (-2,2/3)
formula for slope y2-y1 over x2-x1 so the answer should be -1.1 over -6.3
Simplify the expression using the rules for exponents
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{(a^{-3}b^{-1}c^{-5})^{-2}}{(a^5b^4c^2)^5}\implies \stackrel{\textit{distributing the exponent}}{\cfrac{(a^6b^2c^{10})}{(a^{25}b^{20}c^{10})}}\implies \cfrac{c^{10}c^{-10}}{a^{25}a^{-6}b^{20}b^{-2}} \\\\\\ \cfrac{c^{10-10}}{a^{25-6}b^{20-2}}\implies \cfrac{c^0}{a^{19}b^{18}}\implies \cfrac{1}{a^{19}b^{18}}[/tex]
Please help. I need this as soon as possible
Answer:
D???
Step-by-step explanation:
D????
stand·ard de·vi·a·tion
/ˈstandərd ˌdēvēˈāSHən/
nounSTATISTICS
a quantity calculated to indicate the extent of deviation for a group as a whole.
what is the degree of 6x^5-4x^2+2x^3-3
Answer:
5
Step-by-step explanation:
we know that
A degree in a polynomial function is the greatest exponent of that equation
In this problem the greatest exponent is x^5
therefore
the degree of the polynomial is 5
Choose the function who’s graph isn’t given by:
Answer:
D. [tex]y=\tan (x-\pi)+2.[/tex]
Step-by-step explanation:
Consider parent function [tex]y=\tan x.[/tex] The graph of this function is the same as the graph of the function [tex]y=\tan (x-\pi),[/tex] because the tangens has period of [tex]\pi.[/tex] (See first attached diagram)
Now, you can see that the graph of the function [tex]y=\tan (x-\pi)[/tex] is translated 2 units up. This translation gives you the function [tex]y=\tan (x-\pi)+2.[/tex] (see second attached diagram)
Answer: D
Step-by-step explanation: Apex