Answer:
m=2j+10
m+j=52
Step-by-step explanation:
m = maria
j = juan
What’s the square root of 36
Answer:
6
Step-by-step explanation:
sqrt(36) = 6
Answer:
1296
Step-by-step explanation:
36 x 36 = 1296
As a reward for winning a math competition, 26 students in the 7th grade visited a theme park. On one ride, 3 equal groups of students could be seated and 2 students were left over. Write and solve an equation to find how many students could be seated in each group.
Answer: in each group, there are 8 students.
Step-by-step explanation:
We have a total of 26 students.
If we separate them into 3 equal groups (suppose that each group has X students) and leave 2 students left, we will have the relation:
3*X + 2 = 26
This means that 3 times the number of students in each group, plus the two students leftover must be equal to the initial number of students.
Now we can solve this for X.
3*X + 2 = 26
3*X = 26 - 2 = 24
X = 24/3 = 8
X = 8
This means that in each group there are 8 students.
ILL GIVE BRAILIST PROMISE HURRRRYYYYYY
Answer:
2 2/9
Step-by-step explanation:
3 3/5 = 18/5
8/1x5/18=40/18=2 4/18=2 2/9
one week, kristi worked 3 days at a department store for 3 and a half hours each day. She was paid $9/h. How many hours did kristi work that week?
Select True or False for each statement.
True
False
A straight line on a coordinate plane always represents a function
O
The equation y = 2x + 1 represents a function
O
Answer:
1st. false
2nd. true
Step-by-step explanation:
Itll only be considered a function when it passed the vertical line test.
The equation y=2x+1 is a linear function
Plz help I’m stuck and I can’t answer
Answer: the first one is 14 and the second one is 5
Step-by-step explanation:
What is the slope of the line that passes through the points (5, -2) and (7, -8)?
-5
-3
-5/6
-1/3
(also i have other questions if you can view the ones on my profile and answer them tysm)
Answer:
The slope is -3.
Step-by-step explanation:
The slope is equal to the change in y over the change in x.
First, we take the two y values, -2 and -8, and subtract the SECOND from the FIRST: -2 - (-8) = -2 + 8 = 6 (= change in y)
Second, we take the two x values, 5 and 7, and subtract the SECOND from the FIRST: 5 - 7 = -2 (= change in x)
Finally, we make a fraction, the change in y over the change in x:
6/-2 = -3
The slope is -3.
Please help me thanks in advance it is much appreciated!!
Answer:
Step-by-step explanation:
C
Answer:
Yes, because two pairs of corresponding angles in the triangle are congruent. So the answer is A.
Step-by-step explanation:
Corresponding angles is an angle that is in the exact same spot as the other angle and they are congruent to each other which means that they have the same measure/number.
As the picture shows both triangles have all of their angles as the same measures.
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, x , plus five times the number of onions, y, should produce 56 bowls of tomato soup. A different recipe states that two times the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Answer:
Tomatoes = 11.5
Onions = 2
Step-by-step explanation:
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, , plus five times the number of onions, x, should produce 56 bowls of tomato soup. A different recipe states that two times the number of tomatoes used minus the number of onions used should produce 21 bowls of tomato soup. What is the resulting recipe for the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Let
Tomatoes = x
Onions = y
Recipe 1:
4x + 5y = 56
Recipe 2:
2x - y = 21
4x + 5y = 56 (1)
2x - y = 21 (2)
Multiply (2) by 5
4x + 5y = 56 (1)
10x - 5y = 105 (3)
Add
10x + 4x = 105 + 56
14x = 161
x = 161 / 14
= 11.5
Substitute x =11.5 into
2x - y = 21
2(11.5) - y = 21
23 - y = 21
-y = 21 - 23
-y = -2
y = 2
Tomatoes = 11.5
Onions = 2
What is the measure of x? *
X
80°
180 degrees
100 degrees
80 degrees
360 degrees
Answer: 80 degrees
Step-by-step explanation:
Answer:
80 degrees!
Step-by-step explanation:
There's this weird phenomenon with parallel lines, that if you trace a line over it, you would get the same angle on the opposite side of the line.
Write the standard form of the line that has a slope - 3/4 intercept of -2Include your work in your final answer Type your answer in the box provided or use the upload option to submit your solution
Y=-2/5x-4 find slope and y intercept
Answer:
slope= -2/5
y intercept is (0,-4)
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line shown is 1
Slope of a lineThe formula for calculating the slope of a line is expressed according to the formula
Slope = Rise/Run
Slope = y₂-y₁/x₂-x₁
Using the coordinate point (1,-2) and (3, 0)
Slope = 0+2/3-1
Slope = 2/2
Slope = 1
Hence the slope of the line shown is 1
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20 points please help What is the name of the ray shown? A. ga B. ag C. ag D. ga
The name of the ray shown would be: C. ray AG.
What is a Ray?A ray can be defined as a part of a line which has a fixed starting point that is called an endpoint and extends to infinity towards the opposite direction of the fixed point, called the endpoint.
How to name a Ray?The first letter to use when naming a ray is the letter of the endpoint, which is the starting point of the ray, then use another letter that the ray passes through to infinity. There would be only one arrow head facing the right, drawn on top of the letters used in naming the ray.
The image shows an endpoint of A, which marks the starting point. The line extends from G to infinity as well.
Therefore, the name of the ray shown would be: C. ray AG.
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An artist bought twine for a project,and she traveled by bus when shopping for the twine.The total cost of her project,$17.50,included both the cost of the 5.8 yards of twine she bought and $3 in bus fares. Which of these shows the correct equation to determine the cost of the twine per yard along with the correct solution?
Answer:
it’s A
Step-by-step explanation:
It would be 17.50=5.8x+2
Cost:$2:50 per yard
[tex]Given \: cotA = \sqrt{\dfrac{1}{3}}[/tex]
Find all other trigonometric ratios.
[tex] \tt cotA = \sqrt{ \dfrac{1}{3}}[/tex]
[tex] \tt \implies cotA = \dfrac{1}{\sqrt{3}}[/tex]
To Find :All other trigonometric ratios, which are :
sinAcosAtanAcosecAsecASolution :Let's make a diagram of right angled triangle ABC.
Now, From point A,
AC = Hypotenuse
BC = Perpendicular
AB = Base
[tex] \tt We \: are \: given, \: cotA = \dfrac{1}{\sqrt{3}}[/tex]
[tex] \tt We \: know \: that \: cot \theta = \dfrac{base}{perpendicular}[/tex]
[tex] \tt \implies \dfrac{base}{perpendicular} = \dfrac{1}{\sqrt{3}}[/tex]
[tex] \tt \implies \dfrac{AB}{BC} = \dfrac{1}{\sqrt{3}}[/tex]
[tex] \tt \implies AB = 1x \: ; \: BC = \sqrt{3}x \: (x \: is \: positive)[/tex]
Now, by Pythagoras' theorem, we have
AC² = AB² + BC²
[tex] \tt \implies AC^{2} = (1x)^{2} + (\sqrt{3}x)^{2}[/tex]
[tex] \tt \implies AC^{2} = 1x^{2} + 3x^{2}[/tex]
[tex] \tt \implies AC^{2} = 4x^{2}[/tex]
[tex] \tt \implies AC = \sqrt{4x^{2}}[/tex]
[tex] \tt \implies AC = 2x[/tex]
Now,
[tex] \tt sin \theta = \dfrac{perpendicular}{hypotenuse}[/tex]
[tex] \tt \implies sinA = \dfrac{BC}{AC} [/tex]
[tex] \tt \implies sinA = \dfrac{\sqrt{3}x}{2x} [/tex]
[tex] \tt \implies sinA = \dfrac{\sqrt{3}}{2} [/tex]
[tex] \Large \boxed{\tt sinA = \dfrac{\sqrt{3}}{2}} [/tex]
[tex] \tt cos \theta = \dfrac{base}{hypotenuse}[/tex]
[tex] \tt \implies cosA = \dfrac{AB}{AC} [/tex]
[tex] \tt \implies cosA = \dfrac{1x}{2x} [/tex]
[tex] \tt \implies cosA = \dfrac{1}{2} [/tex]
[tex] \Large \boxed{\tt cosA = \dfrac{1}{2}} [/tex]
[tex] \tt tan \theta = \dfrac{perpendicular}{base}[/tex]
[tex] \tt \implies tanA = \dfrac{BC}{AB} [/tex]
[tex] \tt \implies tanA = \dfrac{\sqrt{3}x}{1x} [/tex]
[tex] \tt \implies tanA = \sqrt{3}[/tex]
[tex] \Large \boxed{\tt tanA = \sqrt{3}}[/tex]
[tex] \tt cosec \theta = \dfrac{hypotenuse}{perpendicular}[/tex]
[tex] \tt \implies cosecA = \dfrac{AC}{BC} [/tex]
[tex] \tt \implies cosecA = \dfrac{2x}{\sqrt{3}x} [/tex]
[tex] \tt \implies cosecA = \dfrac{2}{\sqrt{3}}[/tex]
[tex] \Large \boxed{\tt cosecA = \dfrac{2}{\sqrt{3}}}[/tex]
[tex] \tt sec \theta = \dfrac{hypotenuse}{base}[/tex]
[tex] \tt \implies secA = \dfrac{AC}{AB} [/tex]
[tex] \tt \implies secA = \dfrac{2x}{1x} [/tex]
[tex] \tt \implies secA = 2[/tex]
[tex] \Large \boxed{\tt secA = 2}[/tex]
[tex]\setlength{\unitlength}{2mm}\begin{picture}(0,0)\thicklines\put(0,0){\line(3,0){2.5cm}}\put(0,0){\line(0,3){2.5cm}}\qbezier(12.4,0)(6.6,5)(0,12.4)\put(-2,13){\sf A}\put(13,-2){\sf C}\put(-2,-2){\sf B}\put(-3,6){\sf 1}\put(6,-3){\sf \sqrt3$}\put(7,7){\sf 2}\end{picture}[/tex]
Solution :-Given ,
cotA = [tex]\sf \sqrt{\dfrac{1}{3}}=\dfrac{1}{\sqrt3}[/tex]We need to find ,
All the trigonometric identitiesFirst finding the other side of the triangle using Pythagoras theorem .
Hypotenuse² = Base² + Height²
[tex]\to\sf Hypotenuse^2 = (1)^2 + (\sqrt3)^2[/tex]
[tex]\to\sf Hypotenuse^2 = 1 + 3 [/tex]
[tex]\to \sf Hypotenuse = \sqrt4[/tex]
[tex]\to\bf Hypotenuse = 2[/tex]
Now ,
[tex]\rm sinA = \dfrac{opposite}{hypotenuse}=\sf\dfrac{\sqrt3}{2}[/tex][tex]\rm cosA = \dfrac{adjacent}{hypotenuse}=\sf\dfrac{1}{2}[/tex][tex]\rm tanA = \dfrac{opposite}{adjacent}=\sf\dfrac{\sqrt3}{1}[/tex][tex]\rm cosecA=\dfrac{hypotenuse}{adjacent}=\sf\dfrac{2}{\sqrt3}[/tex][tex]\rm secA = \dfrac{Hypotenuse}{adjacent}=\sf\dfrac{2}{1}[/tex][tex]\rm cotA = Already\; given =\sf \dfrac{1}{\sqrt3}[/tex]Find the sum of :
3 7
-4- +2
12
Answer:
245 i hope and swer its ok
Step-by-step explanation:
sqdancefn
pls help these questions I got wrong
9514 1404 393
Answer:
1. B, E
2. A, E
16. B'(1, 5)
Step-by-step explanation:
Lines p and r are parallel, as are lines a and b. Either of the lines in one parallel pair is perpendicular to the lines in the other parallel pair. Line q has no necessary relation to anything, so can be ignored. (No answer containing q can be correct.)
__
1. p ⊥ b
r ⊥ a
__
2. r║p
a║b
__
16. Point B(3, 2) translated (right, up) = (-2, 3) will be ...
B' = B + (-2, 3) = (3, 2) +(-2, 3) = (3 -2, 2 +3)
B' = (1, 5)
Note: (x, y) coordinates are (right, up). So, in translation problems it is important to pay attention. Often, the up/down translation is listed before the left/right translation. If you're not paying attention, you may inadvertently reverse the numbers that need to be added to the coordinates to do the translation.
Magical Gizmos has determined that their costs can be modeled by the function C(x) = 2x ^ 2 - 3x + 7 and their sales can be modeled by the function
R(x) = 2x ^ 2 + 7x - 23
Determine the number of gizmos they need to sell in order to Break Even.
Please help :(
invalidated and no score will be calculated for you. ... Utilize the information provided for each question to determine your ... the questions or answers prior to the examination and that you have ... 2 The solution of an equation with two variables, x and y, is ... 11 Which function has the greatest y-intercept?
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answer:
15
Step-by-step explanation:
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
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David has 84 candy bars to sell. His seven aunts told him they would split the candy bars
between them. How many candy bars will each aunt need to buy for David to sell all of
his candy?
15
12
8
23
Answer:
12
Step-by-step explanation:
HELP FOR BRAINLIEST!!
Answer:
Rider A=20km/hour
Rider B= 24km/hour
Step-by-step explanation:
Easy find slope rise over run
Rider A=20km/hour
Rider B= 24km/hour
to find rider b slope do 72/3 =24
What is 2.5x0.012=
(20 POINTS)
Answer: 0.03
Step-by-step explanation:
Answer:
0.03
Step-by-step explanation:
[tex]\frac{25}{10}[/tex]×[tex]\frac{12}{1000}[/tex]=
[tex]\frac{300}{10000}[/tex]=0.03
Blank quarts =1/2 gallon
Answer:
It equals 2.4019 quarts.
Step-by-step explanation:
i would appreciate if you rate this a 5 and heart it. brainliest is up to you <3
- gibazy
Help me with this question please! I’ll mark you brainlist and give 5 stars for this!
Answer: That is the correct answer
Step-by-step explanation:
for the first one the answer is A. x + 84 = 180
the second one is C. AB/DC = WX/ZY
-5 = w-3 what is w
please help
Answer
w=-2
Step-by-step explanation:
-5=w-3
-5+3=w-3+3
-2=w
plezz give me brainiest
HELP
These triangles
are congruent by
the triangle
congruence
postulate [ ? ).
A. SSS
B. SAS
C. Neither, they are not congruent
Answer:
C
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
right on acellus
i need help pls pls pls
Answer:
there is no picture??????????
the ratio of the measures of the sides of a triangle is 2:10:7 find the length of each side of the perimeter of the triangle is 228 meters
Answer:
Length of side 1 = 24 m
Length of side 2 = 120 m
Length of side 3 = 84 m
Step-by-step explanation:
The ratio of each side of triangle is: 2:10:7
Perimeter of triangle = 228 meters
We need to find the length of each side.
Let the common ratio be x
We can write the ratios as: 2x,10x and 7x
Length of side 1 = 2x
Length of side 2 = 10x
Length of side 3 = 7x
Using the formula: [tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\[/tex]
Putting values and finding x:
[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\\\228=2x+10x+7x\\19x=228\\x=\frac{228}{19}\\x=12[/tex]
So, we get value of x=12
Now, finding length of each side by putting x=12:
Length of side 1 = 2x =2(12) = 24
Length of side 2 = 10x = 10(12) = 120
Length of side 3 = 7x = 7(12) = 84
So,
Length of side 1 = 24 m
Length of side 2 = 120 m
Length of side 3 = 84 m
a point in space $(x,y,z)$ is randomly selected so that $-1\le x \le 1$,$-1\le y \le 1$,$-1\le z \le 1$. what is the probability that $x^2 y^2 z^2\le 1$?
Probability that [tex]x^2+y^2+z^2\leq 1[/tex] is 0.523
Given that a point (x, y, z) is in space which is randomly selected as
[tex]-1\le x \le 1$,$-1\le y \le 1$,$-1\le z \le 1$[/tex]
These three equations represents a cube in space.
Length of each side of the cube = 1 - -1 = 2
Now [tex]x^2+y^2+z^2\leq 1[/tex] represents a sphere with center (0, 0, 0) and of radius less than or equal to 1.
So we can imagine that this sphere is inside the cube.
So the probability that [tex]x^2+y^2+z^2\leq 1[/tex] = Volume of the sphere/Volume of the cube
Volume of sphere with radius 1 = [tex]\frac{4}{3} \pi r^3=\frac{4}{3} \pi \times 1 = \frac{4}{3}\times 3.14 = 4.186[/tex] cubic unit
Volume of the cube of length 2 = [tex]2^3 = 8[/tex] cubic units
So the probability that [tex]x^2+y^2+z^2\leq 1[/tex] = 4.186/8 = 0.523
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