Answer:
x = 11
Step-by-step explanation:
Given the expression;
5x+2y=67 ...1
x=3y−7 ....2
Substitute 2 into 1
5(3y-7)+2y = 67
15y - 35 + 2y = 67
17y = 67+35
17y = 102
y = 102/17
y =6
Recall that x = 3y - 7
x = 3(6) - 7
x = 18 - 7
x = 11
Hence the value of x is 11
what is 3 3/5 x (-8 1/3)?
Answer:
The answer is negative thirty
Answer:
The answer is -450/15 = -30
Step-by-step explanation:
3 3/5 and -8 1/3 are numbers in mixed fractions. For getting the answer, the numbers must be converted into improper fractions with the formula =
Quotient * Divisor + Remainder = Dividend
Therefore;
=> 3 3/5 = 3 * 5 + 3 = 18/5
=> -8 1/3 = -8 * 3 + 1 = -25/3
Now, we multiply the improper fractions.
=> 18/5 * (-25/3)
=> -450/15
=> -30 is the final answer
Hope this helps you!
Question 2 of 10
What is the slope of the line y = 3? Answer here.
______
Answer:
0
Step-by-step explanation:
The slope of a horizontal line will always be 0. In our given line, y will equal 3 at any point on the line. This means the line is horizontal, so the slope = 0.
I hope this helps ^^ Good luck ·ω·
Answer:
0
Step-by-step explanation:
Since, You have only given us that y=3.
The slope will be 0
and the y-intercept will be: (0,3)
x | y
0 | 3
1 | 3
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
Convert the time. Enter your answer in the box.
4 minutes 53 seconds =
seconds
Answer:
293 seconds
Step-by-step explanation:
60*4=240
240+53=293
Using the picture above Find the measure of arc EF
Given:
Measure of arc CG is 125 degrees.
The measure of angle CDG is 85 degrees.
To find:
The measure of arc EF.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]
Let x degrees be the measure of arc EF.
Substituting the given values, we get
[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]
[tex]2\times 85^\circ=125^\circ+x[/tex]
[tex]170^\circ -125^\circ=x[/tex]
[tex]45^\circ=x[/tex]
Therefore, the measure of arc EF is [tex]45^\circ[/tex].
Factor by grouping. 9c^3-12c^2+18c-24
Answer:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
Step-by-step explanation:
Given
[tex]9c^3 - 12c^2 - 18c - 24[/tex]
Required
Factor
Group into 2
[tex][9c^3 - 12c^2] - [18c + 24][/tex]
Factorize each group
[tex]3c^2[3c - 4] - 6[3c - 4][/tex]
Factor out 3c - 4
[tex][3c^2 - 6][3c - 4][/tex]
Hence:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.
Answer:
334
Step-by-step explanation:
1. Melany bikes the 5 km to school in 10 minutes. What is her average speed?
Answer:
Your answer would be 30 km/h for her average pace.
Step-by-step explanation:
I filled out info for a pace calculator and this is what the average speed was. Hope this helps and have a nice day.
A factory bottles 511 bottles of juice in 7 minutes. Find the factory's unit rate of bottles per minute.
A. 511 bottles/7 minutes
B. 73 minutes/1 bottle
C. 73 bottles/1 minute
D. 73:1
can you please explain how i can work through these problems?
6. Which of the following statements below is correct?
A. Circumference is the result of adding diameter by pi.
B. Circumference is the result of dividing diameter by pi.
C. Circumference is the result of subtracting diameter by pi.
D. Circumference is the result of multiplying the diameter by pi.
d
.........................
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Answer:
Crew neck is the most popular, so she should probably order that
Step-by-step explanation:
Answer:
Crew Neck t-shirts are most efficient
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
In which of the expressions below will x = 3? Select all that apply.
A) 5.5x=22
B) 19x−12x+6=27
C) 15x5=9
D) 18−(x+6)=10
E) 2x3+6=60
Answer: b
Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27
Answer:
Its B
Step-by-step explanation:
HELP PLZZ ill give u brainlest !!!
Hakeem owns seven less than 3/5
the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.
Answer: 45 DVDs
Step-by-step explanation:
Assume that the number of DVDs owned by Manuel is x.
In comparison to Manuel therefore, the DVDs owned by Hakeem can be expressed as:
= 3/5 * x - 7
We know that Hakeem owns 20 DVDs so we can use this number to solve for x:
20 = 3/5x - 7
3/5x = 20 + 7
3/5x = 27
x = 27 ÷ 3/5
x = 27 * 5/3
x = 45 DVDs
HELP ASAP! Look at pic :,)
Answer:
E
Step-by-step explanation:
the chair can go in any time AFTER the bed, so let’s think bed first
then he wants to move the heavy stuff, then awkward.
so the dresser and desk are heavy, and the couch is awkward.
but the chair can go in at any time so E would make sense
Marcia is traveling with her family in the car. If they traveled 240 miles in 4 hours, at what rate, or speed were they traveling? Use the formula d ÷ t, where d represents the distance and t represents the time.
80 miles per hour
236 miles per hour
40 miles per hour
60 miles per hour
Answer:
60 miles per hour
Step-by-step explanation:
240/4 = 60 miles per hour
Answer:
60 miles per hour
Step-by-step explanation:
In order to find the rate at which Marcia's family's' car is travelling, you would simply divide the total miles, which would be 240 or "d," by the time, which would be 4 hours or "t."
[tex]\frac{240}{4}[/tex] = 60So, Marcia's family's car is travelling at 60 miles per hour.
Hope this helps :)
Mariah is a manager of a fitness training center that serves a certain region. She is interested in the amount of water adult residents in her region consume on average per day. She conducts a survey, where she selects 645 adult residents from the region at random and asks each individual to track how much water, in fluid ounces he or she consumes on average per day Among the 645 in the sample, the average is approximately 62.7 fluid Ounces Explain whether the results of Mariah's survey could be extended to all the residents of the region (1 point)
A) The results of the survey could be extended to all residents of the region because Mariah's fitness training center serves the region that contains the population of interest.
B) The results of the survey cannot be extended to all residents of the region because Maria only selected adult residents of the region at random.
C) The results of the survey could be extended to all residents of the region because all of the individuals in Mariah's sample are residents of the region
D)The results of the survey could be extended because the adult residents in Mariah's sample are representative of al the residents of the region.
GIVING BRAIN LIST
Hiroko wants to know how much money students in her school band typically spend on their instruments. She plans to survey a sample of the population. Will each approach result in a sample that is representative of the population? Explain Please! Thank You!
Answer the following 3 questions from a to c.
Thanks Again!
a. Surveying all of the flute players in the band
b. Surveying all band members whose first names start with J or M
c. Surveying two band members from each school in her city
Answer:
Option C would be better than the others.
Step-by-step explanation:
She wants to learn about band members from a sample of the population. Option a isn't enough because flute players aren't the only ones who should be surveyed, she needs to know about all band members. B isn't right, it isn't logical to just survey people with names starting with J or M. So, c would be just right since she's surveying 2 band members from each school so she would get information from a sample of the population and not just from her school.
10.
AABC is dilated by a scale factor of with the origin as the center
of dilation. Given A(-6, 4), B(0, -4), and C(2, -8), what would be
the x-coordinate of A'?
Record your answer and bubble the grid.
Plez help
What is the value of x in the circle to the right?
9514 1404 393
Answer:
10 1/16 cm
Step-by-step explanation:
The Pythagorean theorem can be used.
(8 +x)² = x² +15²
64 +16x +x² = x² +225
16x = 161
x = 161/16 = 10 1/16 = 10.0625 . . . cm
Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent
Answer:
A perpendicular
B bisect each other
D. congruent
Step-by-step explanation:
Given
Attached quadrilateral
Required
Relationship between EG and DF
First, we have that: DEFG is a square
EG and DF are diagonals
Using the property of diagonals of a square, we have:
EG and DF to be perpendicular
EG and DF to be congruent
EG and DF to be bisect each other
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 20 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of n = 43 wind speed recordings (taken at random intervals), the wind speed at the site averaged x = 25.8 mph, with a standard deviation of s = 4.2 mph. To determine whether the site meets the organization's requirements, consider the test, H0: µ = 25 vs. Ha: µ > 25, where µ is the true mean wind speed at the site and alpha = .01. Suppose the value of the test statistic were computed to be 1.25. State the conclusion.
A) At alpha = .01, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
B) At alpha΅= .01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
C) We are 99% confident that the site meets the organization's requirements.
D) We are 99% confident that the site does not meet the organization's requirements.
Answer:
B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
Step-by-step explanation:
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 25.
We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.
With the help of a calculator, this p-value is of 0.1091.
Since the p-value of the test is 0.1091 > 0.01, at [tex]\alpha = 0.01[/tex] there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.
Samantha Smith purchased a $50,000 policy for $1,050 per year. After ten years, what will be the ratio (percentage) of
cash value to premiums paid?
%
Ratio of cash value to premiums paid (to the nearest tenth)
Answer:
After 10 years the ratio will be 10500: 500000
Answer:
2.1%
Step-by-step explanation:
I converted the ration to a percent. (on g o o g l e)
Please Brainlyest
Mario builds a triangular table- help!!
Answer:
Step-by-step explanation:
question 1a) hey, so it would look like this for example:
question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)
tell me if u have any questions
A system of equations is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 1, 2).
How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer:
one unique solution
Step-by-step explanation:
one unique solution => (-1, 2)
Answer:
B
Step-by-step explanation:
I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121
Answer:
301
Step-by-step explanation:
3 + 0 + 1 = 4
301 / 7 = 43
301 / 2 = 105.5
Answer:
301
Step-by-step explanation:
301 divided by 7 = 43
301 is not divisible by 2
3 + 1 + 0 = 4
Hope this helps :)
PLEASE HELP ASAPPPP!!!!!
Answer:
see below
Step-by-step explanation: 5 20 15 39
coin 2 possibilities 1/2
three coins (1/2) × (1/2) × (1/2) = _________ or (1/2)³
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.
Answer:
0.62 im 99% sure
Step-by-step explanation:
Answer:
0.62
Step-by-step explanation:
Pleaseeee helpppp meee
Answer:
try searching it
Step-by-step explanation:
Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.
14:30 describes her class in terms of number of girls to total number of students