Answer:
M= 6, -1
Step-by-step explanation:
Factoring these numbers, it will result in (m-6)(m+1). So, m= 6,-1
Grafico de deportes: fútbol 30%, atletismo 25%, tenis 5%, voleibol 10%, basquetbol 20%. Si 165 jóvenes prefieren el fútbol ¿cuantos prefieren el basquetbol?
Answer:
33 jóvenes prefieren el basquetbol.
Step-by-step explanation:
Hay 165 jóvenes.
De estos, 20% prefieren el basquetbol.
¿cuantos prefieren el basquetbol?
20% de 165, entonces:
[tex]20\% = \frac{20}{100} = 0.2[/tex]
[tex]0.2*165 = 33[/tex]
33 jóvenes prefieren el basquetbol.
Write the equation of the line in Slope-Intercept Form given the information below.
Slope =−7/4
Y-Intercept =5
Answer:
y = -7/4 x + 5
Step-by-step explanation:
In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase in the population of the village from 2017 to 2019.
Answer:
10.2%
Step-by-step explanation:
The given population of the village in 2017 = 7,500
The given population of the village in 2019 = 8,265
The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;
[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]
The final value of the population in 2019 = 8,265
The initial value of the population in 2017 = 7.500
Therefore;
[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]
The percentage increase in the population = 10.2%
Do you agree? Explain why or why not.
Answer:
if x = 4
[tex]\sqrt{8 + 1} + 3 = 0[/tex]
[tex]\sqrt{9} + 3 = 0[/tex]
3 + 3 = 0
6 = 0
wrong.
1. Can cross multiplication be used to solve this problem? Why or why not?
HELP
Answer:
Step-by-step explanation:
Cross multiplication can be used but not in the beginning. First x should be isolated.
[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]
Now subtract [tex]\frac{5}{x}[/tex] from both sides
[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]
In this stage, cross multiplication can be used.
[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]
Answer:
x =0 and x =2/3
Step-by-step explanation:
as is no
but if you put an x under the 3 to make 3x/x
then you'd have 3x+5/x = 7/x
to make
3x^2 + 5x = 7x
this makes
3x^2 -2x =0
using the quadratic formula
answers
x =0 and x =2/3
7 of 8
Write the number three million and eighty-two thousand in figures
Answer:
3,082,000
Step-by-step explanation:
THE ANSWER IS 3,082,000 HOPE IT HELPS
Carol ran a 100 meter race in 13. 4 seconds. But, it was wrongly
measured as 14.1 seconds. What is the percent error involved in the
measurement?
Answer: Approximately 5.22%
========================================================
Work Shown:
A = true value = 13.4 seconds
B = measured value (erroneous value) = 14.1 seconds
C = percent error
C = [ (B-A)/A ] * 100%
C = [ (14.1-13.4)/(13.4) ] * 100%
C = 0.0522 * 100%
C = 5.22%
This value is approximate.
4. Convert 23 miles per hour to kilometers per minute. (1 mile = 1.609 kilometers)
Answer:
Ewan ko lng po when you find someone ma mas better less sa kanya
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money. Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Using the values from above, we can set up the equation as:
400 = 25m + 10b
or
25m + 10b = 400
This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Hope this helps have a good day
I need helppp someone e
Help me pls
Step-by-step explanation:
s ask me what's your question I can help u
Write an equation in point-slope form of the line through point J(-1, 10) with slope -7.
Answer:
y - 10 = -7 (x + 1)
Step-by-step explanation:
pont = (-1,10) slope = -7
y - 10 = -7 (x + 1)
Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.
Sequence 1
Sequence 2
Ordered Pairs
PLZ ANSWER FOR Brainiest
Answer:
1×2+1=3
3×2+1=7
7×2+1=15
15x2+1=31
31×2+1=63
40÷2+4=24
24÷2+4÷16
16÷2+4=12
12÷2+4=10
10÷2+4=9
at what speed was jo walking for the first 30 minutes
Answer:
Bro a normal speed of a human is 3km/hr
And I don't know the speed of jo
Because u haven't written full question
Step-by-step explanation:
Please Mark me brainliest
Find all possible values of α+
β+γ when tanα+tanβ+tanγ = tanαtanβtanγ (-π/2<α<π/2 , -π/2<β<π/2 , -π/2<γ<π/2)
Show your work too. Thank you!
Answer:
[tex]\rm\displaystyle 0,\pm\pi [/tex]
Step-by-step explanation:
please note that to find but α+β+γ in other words the sum of α,β and γ not α,β and γ individually so it's not an equation
===========================
we want to find all possible values of α+β+γ when tanα+tanβ+tanγ = tanαtanβtanγ to do so we can use algebra and trigonometric skills first
cancel tanγ from both sides which yields:
[tex] \rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \alpha ) \tan( \beta ) \tan( \gamma ) - \tan( \gamma ) [/tex]
factor out tanγ:
[tex]\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \gamma ) (\tan( \alpha ) \tan( \beta ) - 1)[/tex]
divide both sides by tanαtanβ-1 and that yields:
[tex]\rm\displaystyle \tan( \gamma ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{ \tan( \alpha ) \tan( \beta ) - 1}[/tex]
multiply both numerator and denominator by-1 which yields:
[tex]\rm\displaystyle \tan( \gamma ) = - \bigg(\frac{ \tan( \alpha ) + \tan( \beta ) }{ 1 - \tan( \alpha ) \tan( \beta ) } \bigg)[/tex]
recall angle sum indentity of tan:
[tex]\rm\displaystyle \tan( \gamma ) = - \tan( \alpha + \beta ) [/tex]
let α+β be t and transform:
[tex]\rm\displaystyle \tan( \gamma ) = - \tan( t) [/tex]
remember that tan(t)=tan(t±kπ) so
[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm k\pi ) [/tex]
therefore when k is 1 we obtain:
[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm \pi ) [/tex]
remember Opposite Angle identity of tan function i.e -tan(x)=tan(-x) thus
[tex]\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm \pi ) [/tex]
recall that if we have common trigonometric function in both sides then the angle must equal which yields:
[tex]\rm\displaystyle \gamma = - \alpha - \beta \pm \pi [/tex]
isolate -α-β to left hand side and change its sign:
[tex]\rm\displaystyle \alpha + \beta + \gamma = \boxed{ \pm \pi }[/tex]
when is 0:
[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta \pm 0 ) [/tex]
likewise by Opposite Angle Identity we obtain:
[tex]\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm 0 ) [/tex]
recall that if we have common trigonometric function in both sides then the angle must equal therefore:
[tex]\rm\displaystyle \gamma = - \alpha - \beta \pm 0 [/tex]
isolate -α-β to left hand side and change its sign:
[tex]\rm\displaystyle \alpha + \beta + \gamma = \boxed{ 0 }[/tex]
and we're done!
Answer:
-π, 0, and π
Step-by-step explanation:
You can solve for tan y :
tan y (tan a + tan B - 1) = tan a + tan y
Assuming tan a + tan B ≠ 1, we obtain
[tex]tan/y/=-\frac{tan/a/+tan/B/}{1-tan/a/tan/B/} =-tan(a+B)[/tex]
which implies that
y = -a - B + kπ
for some integer k. Thus
a + B + y = kπ
With the stated limitations, we can only have k = 0, k = 1 or k = -1. All cases are possible: we get k = 0 for a = B = y = 0; we get k = 1 when a, B, y are the angles of an acute triangle; and k = - 1 by taking the negatives of the previous cases.
It remains to analyze the case when "tan "a" tan B = 1, which is the same as saying that tan B = cot a = tan(π/2 - a), so
[tex]B=\frac{\pi }{2} - a + k\pi[/tex]
but with the given limitation we must have k = 0, because 0 < π/2 - a < π.
On the other hand we also need "tan "a" + tan B = 0, so B = - a + kπ, but again
k = 0, so we obtain
[tex]\frac{\pi }{2} - a=-a[/tex]
a contradiction.
Which equation is NOT true?
Answer:
[tex]{ \bf{15x + 30 = 180}}[/tex]
A boutique was having a 20% storewide sale.Erica bought 2 dresses which originally cost $80 each.How much savings did Erica enjoy?
Answer: $32
Step-by-step explanation:
Since the boutique was having a 20% storewide sale and Erica bought 2 dresses which originally cost $80 each, therefore the sale for each dress will be:
= $80 - (20% × $80)
= $80 - (0.2 × $80)
= $80 - $16
= $64
Therefore, on each dress Erica saves $16. The amount of savings enjoyed will then be:
= $16 × 2
= $32
PLEASE HELP ASAP!!!
solve for the given variable and show your work. 3a-12b=30. solve for b.
Answer:
b=(-10-a)/4
First factor out the common number:3
Then divide both sides by 3
Then simplify 30/3 to 10
Then subtract a to get your answer
The numerical coefficient of -2pqr
Answer: -2
Explanation: The coefficient is the number to the left of the variable.
Another example would be that 10xy has the coefficient 10.
Something like x^2 has coefficient 1 because x^2 = 1x^2.
Factor using the perfect squares method:
x^2 - 3x + 16
Answer:
what are the answer choice?
Step-by-step explanation:
PLEASE PLEASE HELP ILL GIVE BRAINLY
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
c.
more styrofoam is discarded than paper and plastic combined
PLZ help fast thank you
Answer:
Step-by-step explanation:
An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:
One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.
As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.
We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where
[tex]tan\theta=\frac{opp}{adj}[/tex] where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:
[tex]tan53=\frac{opp}{12}[/tex] and multiply both sides by 12 to get
12tan53 = opp and do this on your calculator to get that
opp = 15.9 inches
what is the answer for 9x² + 3xy - 12x - 4y
Answer:
(3x + y)(3x - 4)
Step-by-step explanation:
9x² + 3xy - 12x - 4y =
There is no common factor in the 4 terms.
Since there are 4 terms, we try factoring by grouping.
Find a common factor in the first two terms, and find a common factor in the last two terms.
= 3x(3x + y) - 4(3x + y)
Now factor out the common factor 3x + y.
= (3x + y)(3x - 4)
r(x)=2[tex]r(x)=2[/tex]
Answer:
Slope =0
y-intercept = (0,2)
I'm not really sure what you need to find.
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x +4y+4 -0 ?
Answer:
B. center ( -3,2) ; radius 3
Answer:
The choose (A)
central (3,-2) , radius 3
The transformation which will map triangle PQR onto P'Q'R is
Given:
The graph of triangle PQR and triangle P'Q'R'.
To find:
The transformation that will map the triangle PQR onto P'Q'R'.
Solution:
From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.
The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.
This is possible it the figure is rotated 180 degrees about the origin.
Therefore, the correct option is A.
The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.
Solution given:
it is a right angled isosceles triangle
so
perpendicular [p]=base[b]=5
hypotenuse [h]=x
we have
by using Pythagoras law
p²+b²=h²
5²+5²=h²
50=h²
h=[tex]\sqrt{50}[/tex]
x=[tex]\bold{5\sqrt{2}}[/tex]
A cylindrical container closed of both end has a radius of 7cm and height of 6cm A.)find the total surface area of the container B.) find the volume of the container
Answer:
Step-by-step explanation:
Surface:
surface area = 2 ends + side
The ends are both a circle and they are identical.
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
then [tex]\pi[/tex][tex]7^{2}[/tex] = 153.93804 [tex]cm^{2}[/tex]
since there are two ends multiply the above by 2
2*153.93804 =307.87608 [tex]cm^{2}[/tex]
the side is the length * height
length = perimeter of the circle , the perimeter of a circle is also the circumference. circ = 2[tex]\pi[/tex]r
circ = 2*[tex]\pi[/tex]*7 = 53.407075
surface area of the side = 6* 53.407075=320.44245
add the two surfaces areas together :)
total surface area = 320.44245 + 307.87608 = 628.3185307 [tex]cm^{2}[/tex]
Volume:
volume is the area of the end times the height
volume = circle area * height
volume = 153.93804 * 6
volume = 923.62824 [tex]cm^{3}[/tex]
A recipe for a soup calls for 2/4 cup of chopped onion and 1/5 cup of chopped
celery. What is the total amount of celery and onion needed for the soup?
Answer:
The total amount of celery and onion needed for the soup is 7/10 cup.
Step-by-step explanation:
2/4 + 1/5 = 7/10 cup.
hope it helped :)
mark me brainliest!
Express 85mm as a percentage of 1metre
Answer:
Step-by-step explanation:
85/1000 because we said that 1 meter = 1000 mililiters
Divide both sides by 5 and then you have 17/200
then divide both sides by 2 (to get it over 100) =
8.5/100
.085%
Hope that helps!!
You could also just do 85/1000 you would get the same answer!!