Answer:
D)x=4,y=7Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:according to the question
[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]
[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]
[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]
[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]
[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]
If 45/60 is equivalent to 3/x, find the value of x
PLEASE HELP ME !!!!!
Answer:
Step-by-step explanation:
1.values of x at y=0 are 1
2.5
3.
(3,-4)
4.
it is a minimum.
5.
axis of symmetry is x=3
Question 3 Matt has yard of fishing line. He uses of the line to make fishing knots. How many yards of fishing line does Matt use to make fishing knots? Show your work Solution
Answer:
aSDFGHJLLMNNBBBBVCDDG
Step-by-step explanation:
Simplify.
(5+squartrt3)2
25 + sqrtrt10
10 + 28sqrtrt3
28 + 10sqrtrt3
Answer:
Step-by-step explanation:
If the 2 is an exponent, it needs to be written as ^2.
(5+√3)² = 5² + 10√3 + 3 = 28 + 10√3
What is the area of a triangle when the base = 4cm and the height = 6cm? (use your resources ;-) )
Group of answer choices
a.6 square centimeters
b./12 square centimeters
c.18 square centimeters
d.24 square centimeters
Answer is in the file below
tinyurl.com/wpazsebu
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
The circle has a circumference of 9.42 units. What is the area of the square? Use 3.14 for π. Explain how you found the answer.
Answer:
7.065 sq. units
Step-by-step explanation:
The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.
Area = πr²
∴The required area is 7.065 sq. units
A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?
Find the equation of the line that is perpendicular to y=1/3x+10 and passes through (3,-4)
Answer:
Step-by-step explanation:
1. perpendicular slope will be the negative of the reciprocal
2. so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3
3. So use the values given for x and y (3,-4)
4. substitute in the given equation using the -3 for the slope instead of 1/3
5. To find a new b we substitute for x and y
5. y = 1/3x + 10
6. -4 = -3 (3) + b
7. -4= -9+ b
8. b = 5
Equation of the line will be y = -3x + 5
Complete the work shown to answer the question.
p2 – 14p – 72 = 0
p2 – 14p = 72
p2 – 14p + 49 = 72 + 49
Which describes the solutions of the equation?
Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
i got the answer its a
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation: It's A
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A
Write 5x – 4y = 10 in slope-intercept form
Which statement are true regarding undefinable terms in geometry
Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.
Answer:
Surface answer
Step-by-step explanation:
Because the surface has a length and width and does not have a depth
WILL MARK BRAINLIST
The second story gutters of a house need to be cleaned. The gutters are 18.7 ft. high on the house. If a ladder will be placed 6 ft. from the base of the house, how long will the ladder need to be to reach the gutters? Round to the nearest foot. *
A. 18 ft
B. 19 ft
C. 20 ft
D. 21 ft
Answer:
C. 20 Ft.
Step-by-step explanation:
Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.
18.7²+6²=c²
This gives you 385.69 + 36 = 385.69.
Next, square the result to find the missing side length.
[tex]\sqrt{385.69[/tex]
The answer comes out to around 19.6, which can be rounded up to 20ft.
Hope this helped!
what is x in 5x - ((2x-1)÷2) = 5
Answer:
5x - ((2x-1)÷2) = 5-----(1)
(1) multiply by 2;
2 *(5x - ((2x-1)÷2) = 5)
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 =10
8x = 10-1
x=9 /8
Step-by-step explanation:
Answer:
x = 9/8
Step-by-step explanation:
5x - ((2x - 1) ÷ 2) = 5
2 × (5x - ((2x - 1) ÷ 2) = 5
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 = 10
8x + 1 - 1 = 10 - 1
8x = 10 - 1
8x = 9
8x ÷ 8 = 9 ÷ 8
x = 9 ÷ 8
x = 9/8 or 1 and 1/8
Write two fractions that have a sum of 1 and have different denominators.
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10
Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *
A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate increases at 398mi/h
Step-by-step explanation:
Given
[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance
The given parameters is represented with the attached figure
Using Pythagoras theorem [take the attached image as a point of reference]
[tex]y^2 = x^2 + 1^2[/tex]
[tex]y^2 = x^2 + 1[/tex]
Differentiate with respect to time (t):
[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]
Divide both sides by 2
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)
When y = 2:
[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem
[tex]2^2 = x^2 + 1[/tex]
[tex]4 = x^2 + 1[/tex]
Collect like terms
[tex]x^2 = 4 -1[/tex]
[tex]x^2 = 3[/tex]
Solve for x
[tex]x = \sqrt 3[/tex]
So:
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]
Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]
[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]
[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]
Divide by 2
[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 230*1.7321[/tex]
[tex]\frac{dy}{dt} = 398.383[/tex]
[tex]\frac{dy}{dt} \approx 398[/tex]
A builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. How many acres does the builder buy? *
X. X. X
X X. X
X. X. X
X. X x
X. X x
X 2/6 3/6
X
X
X
X
X
1/6
Answer:
can you send me a pic of how it looks because it's confusing to understand
please help with this algebra question
Answer:
i think its
[tex]P(x) = i ^{3}[/tex]
Step-by-step explanation:
given that the circumference of an orange us 50.24mm find the volume of the orange
Answer: 803mm
Step-by-step explanation:
which multiplication equation describes the picture of the third pies below?
Answer:4x1/3=4/3
Step-by-step explanation:
In the pictures there’s 4 one thirds and if u add them together is 4/3
find the circumference of the circle. PLEASE HELP I HAVE 5 MINUTES LEFT :(
Answer:
18.84
Step-by-step explanation:
how to rewrite equation 5x+7y-35=0 in slope intercept form?
Please help me I don’t understand
Answer:
x = 25
Step-by-step explanation:
By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,
Thus, we come to the conclusion that 2x + 3 = 53
x = 25
how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10 to help you
Answer:
[tex]52.53\ \text{meters}[/tex]
Step-by-step explanation:
[tex]1\ \text{meter}=100\ \text{centimeter}[/tex]
[tex]1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}[/tex]
In the question the quantity that is required to be converted to meters is 5253 centimeters.
[tex]5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}[/tex]
So, the required measurement in meters is [tex]52.53\ \text{meters}[/tex].
log8(216)+[log(42)_log(6)]÷log(49)
Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2PLZ HELP ASAP 30 POINTS (Plz show work)
Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24
Answer:
x=6 x=-1
a=1.5 a=-2
n=-1.5 n=4
Step-by-step explanation:
(a) (b) (c)
10a2+5a-30
x=-b+-√b2-4ac/2a
a=-5+-√(5)2-4(10)(-30)/2(10)
a=-5+-√25+1200/20
a=-5+-√1225/20
a=-5+√1225/20
a=1.5
a=-5-√1225/20
a=-2
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
In a certain tropical forest, litter (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let f(t) be the amount of litter (in grams per square centimeter) present at time t. Find a differential equation satisfied by f(t).
Answer:
df(t)/dt = 10 - 0.8f(t)
Step-by-step explanation:
The net rate of change, df(t)/dt = rate in - rate out
The rate in = rate litter forms on ground = 10 g/cm²/yr
Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr
Since df(t)/dt = rate in - rate out
df(t)/dt = 10 - 0.8f(t)
So the desired differential equation is
df(t)/dt = 10 - 0.8f(t)
Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?