The solution set is (7,3).
Step-by-step explanation:
Given system of equations is;
3x−2y=15 Eqn 1
y=2x−11 Eqn 2
Substituting value of y from Eqn 2 in Eqn 1
[tex]3x-2(2x-11)=15\\3x-4x+22=15\\-x+22-15=0\\7=x\\x=7[/tex]
Putting x=7 in Eqn 2
[tex]y=2(7)-11\\y=14-11\\y=3[/tex]
The solution set is (7,3).
Keywords: linear equation, substitution method
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HURRY!
The diagram represents two statements: p and q.
Which represents region B?
p ∨ q
p → q
q ∧ p
q → p
As you missed to add the diagram. After a little research, I was able to find the diagram, and hence, I am answering based on that diagram which anyways would clear your concepts. Diagram is also attached below.
Answer:
q ∧ p represents the region B.
Step-by-step explanation:
From the attached diagram, it is clear that
the region B includes the area which commonly lies both in p AND q at the same time. In other words, B displays the region in which both p AND q are true.Here is the truth table
p q q ∧ pT T T
T F F
F T F
F F F
Therefore, q ∧ p represents the region B.
Keywords: truth table, AND operation
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Answer:
q /\ p
Step-by-step explanation:
just took the test
Manu has 6 bags. He puts 6 pears in each bag. He has 5 pears left. How many pears did Manu start with?
Answer:
41
Step-by-step explanation:
6 pears ×6 bags +5 leftovers = You've started with 41 pears.
Answer:
180
Step-by-step explanation:
what you do is you want to do is 6x6=36 so you got your first answer then what you want to do next is 36x5=180 so 180 is your answer
The safe load for a certain horizontal beam used to hold up part of a building varies inversely as the length between the
supports.
True
False
The statement is true.
Answer: Option 1.
Explanation:
An horizontal beam is constantly flat and has a consistent cross-segment. Notwithstanding normal shaft parameters, bar has the accompanying properties: Direction. A flat shaft might be situated either along the worldwide X-hub or worldwide Y-pivot.
A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.
Plz help I'll mark brainliest.
Fill in the blanks:
For any line graphed on a coordinate plane, similar ___ prove that the slope of the line is the ___ same between any pair of points that lie on the line.
Choices for blank space 1:
circles
right triangles
squares
Choices for blank space 2:
Never
Sometimes
Always
Answer:
right triangles
always
Step-by-step explanation:
Similar triangles are obtained by rise/run
Since the ratio for all triangles are the same, they have the same slope.
Answer:right triangles
always
Step-by-step explanation:
Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday parties. At Jenny’s party, she made 2 balloon poodles and 2 balloon giraffes, which used a total of 12 balloons. For Roger’s party, she used 27 balloons to make 4 balloon poodles and 5 balloon giraffes. How many balloons does each animal require?
Each animal require 3 balloons.
Step-by-step explanation:
Let 'x' be the number of balloon poodles.
Let 'y' be the number of balloon giraffes.
2x+2y = 12 ---------(1)4x+5y = 27 ---------(2)Multiply eqn (1) by 2 and subtract eqn(2) from eqn(1),
4x+4y = 24
(-) 4x+5y = 27
-y = -3
⇒ y=3
⇒ Number of balloon giraffes = 3
Substitute y=3 in eqn(1)
⇒ 2x+2(3) = 12
⇒ 2x+6=12
⇒ x = 6/2
⇒ x = 3
⇒ Number of balloon poodles = 3
WILL MARK YOU ALPHA!!!
What is the value of x in the equation 0.6x = 0.4 − 0.2x?
0.5
1
1.5
3
Answer:
x=0.5
Step-by-step explanation:
6x=4-2x
8x=4
x=1/2
Answer:
0.5
Step-by-step explanation:
You solve it as a 2-step equation.
0.6x=0.4-0.2x
Isolate the variables ((add 0.2x to both sides since that it how you get rid of it at the right))
Your equation should now be
0.8x=0.4
Divide both sides by 0.8 in order to get x by itself
x=0.5
Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2).
Answer:
y = (-1/2)x
Step-by-step explanation:
The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).
So all that's left to calculate is the offset b of a line
y = -1/2 x + b
such that it passes through (4,-2). Filling in that point gives:
-2 = -1/2*4 + b
so b = 0!
y = -1/2x is the answer
Line perpendicular to y = 2x - 5 is y = (-1/2)x.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know perpendicular lines have slopes that are negative reciprocal of each other.
The given line y = 2x - 5, has a slope of 2.
So, the given line will have a slope of (-1/2) passing through point (4,-2).
∴ - 2 = (-1/2)(4) + b.
- 2 = - 2 + b.
b = 0.
∴ y = (-1/2)x is our required line.
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What type of triangle can a right triangle be?
Answer:
it could be a isosceles triangle.
Step-by-step explanation:
A right triangle can also be an isosceles triangle.
Final answer:
A right triangle, which always has a 90-degree angle, can be either Scalene if all sides are different lengths, or Isosceles if two sides are equal. The classification depends on the lengths of the sides. Additionally, right triangles are fundamental to the application of the Pythagorean theorem.
Explanation:
A right triangle is a type of triangle that has one angle measuring exactly 90 degrees. Despite always having this right angle, right triangles can vary in the lengths of their other sides and the measures of their other angles. So, a right triangle can also be classified based on its side lengths:
If all three sides of a right triangle have different lengths, it is a Scalene right triangle.If two sides of a right triangle (the legs) are of equal length, it is known as an Isosceles right triangle, and this also implies that the two non-right angles are equal, each being 45 degrees.Therefore, the type of right triangle depends on the specific side lengths and can be either Scalene or Isosceles. The understanding of right triangles also extends to concepts such as the Pythagorean theorem, which relates the lengths of the sides of a right triangle, stating that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
As a project manager, you need to plan production runs over the next 312 weeks. If your team is able to produce 1250 widgets in one week, how many widgets can they produce in 312 weeks?
Answer:
390, 000
Step-by-step explanation:
For every week, 1250 widgets is produced in one week
For 312 weeks, the number of widgets will be
312* 1250 = 390, 000
Answer:
Step-by-step explanation:
1250*3.5=4375
plz help im in 5th grade 20 times 2
Answer:
40
Step-by-step explanation:
20
x 2
0x2=0
2x2=4
you have to take the bottom 2 in the ones place
then you have to multiply that by 0
last you have to multiply both 2's
and you have your answer
Giving brainliest for the correct answer!!!! As long as you explain!
Answer: 5 is the radius because it is half of 10 in the circle
Step-by-step explanation:
Answer:
Circumference is 31.4.
Area is 78.4^2.
Step-by-step explanation:
Circumference = pi times diameter.
3.14 times 10 is 31.4.
Area = 1/4 pi diameter squared.
10^2 = 100
100 times 3.14 = 314
314 times 1/4 is 78.5.
I hope this helps you!
Which of these expressions shows a correct way to set up the slope formula for the line that passes through the points (3, 7) and (5, 7)?
A) 5 - 3/ 7 - 7
B) 3 - 5/ 7 - 7
C) 7 - 5/ 7 - 3
D) 7 - 7/ 5 - 3
The slope formula for the line that passes through the points (3, 7) and (5, 7) is (7-7)/ (5-3).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have points (3, 7) and (5, 7).
So, the slope of line passes through the given points
= ( 7 - 7) / (5-3)
= 0- 2
= 0
Thus, the slope formula is (7-7)/ (5-3).
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The correct expression for the slope between points (3, 7) and (5, 7) is D) 7 - 7/ 5 - 3, which equals 0, indicating a horizontal line.
To find the slope of a line passing through the points (3, 7) and (5, 7), we use the slope formula m = (y2 - y1) / (x2 - x1).
For the points (3, 7) and (5, 7), the correct way to set up the slope formula is: (7 - 7) / (5 - 3).
This simplifies to m = 0 / 2, which equals 0.
Therefore, the correct expression that shows the slope for the line that passes through the points (3, 7) and (5, 7) is D) 7 - 7/ 5 - 3.
What is the name of a shape with its length, width, and height all equal?
Answer:
cube
Step-by-step explanation:
Graph the inequality on a
number line:
-2 >m
Answer
you put an open circle on -2 on the number line and continue the line into negative infinity ( the left side of the number line)
Step-by-step explanation:
Find the Missing mixed number____ - 2 1/3 = 3 1/3
Answer:
5/3
Step-by-step explanation:
Left hand side
-2 1/3
it becomes
-2/3
now add 5/3
5/3 - 2/3
by Elysium
(5-2)/3
3/3
So, which is equal to right side
What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (6, -1)(6,−1)?
[tex]\boxed{y=-1}[/tex]
Explanation:In order to solve this problem, let's remember the point-slope form of the equation of a line:
[tex]y-y_{1}=m(x-x_{1}) \\ \\ m:slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line[/tex]
We know two points:
[tex](x_{1},y_{1})=(-4, -1) \\ \\ (x_{2},y_{2})=(6, -1)[/tex]
So:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-1-(-1)}{6-(-4)} \\ \\ m=0[/tex]
So this is a constant line (slope equals zero). Therefore, every point has a y-coordinate [tex]y=-1[/tex]. In other words, the equation is:
[tex]\boxed{y=-1}[/tex]
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Divide using long division. [tex]\frac{-3x^5+11x^4+33x^3-26x^2-36x-6}{x^3+6x^2-3x-5}[/tex]
Answer:
Step-by-step explanation:
x³+6x²-3x-5)-3x⁵+11x⁴+33x³-26x²-36x-6(-3x²+29x-150
-3x⁵-18x⁴+9x³+15x²
-------------------------------
29x⁴+24x³-41x²-36x-6
29x⁴+174x³-87x²-145x
------------------------------------
-150x³+46x²+109x-6
-150x³-900x²+450x+750
--------------------------------------
946x²-341x -756
Therefore
-3x⁵+11x⁴+33x³-26x²-36x-6=(x³+6x²-3x-5)(-3x²+29x-150)+ 946x²-341x -756
Our car has a 15-gallon gas tank. A lower grade of gasoline costs $2.96 per gallon. The premium grade gasoline costs
$3.15 per gallon. There are three gallons left in your gas tank. What is the difference in the cost of filling your tank between the two grades
of gasoline?
a) $2.05
b) 52.28
c) $35.52
d) $44.40
Answer:
The correct option is b.) $2.28
Step-by-step explanation:
i) the gas tank is of 15 gallons
ii) there are three gallons left in the gas tank
iii) therefore the tank has to be filled with 15 - 3 = 12 gallons
iv) lower grade of gasoline costs $2.96 per gallon
v) the upper grade of gasoline costs $3.15 per gallon
vi) the cost of filling the tank with the lower grade gasoline
= 12 [tex]\times[/tex] 2.96 = $35.52.
vii) the cost of filling the tank with the lower grade gasoline
= 12 [tex]\times[/tex] 3.15 = $37.80
viii) therefore the difference in the cost of filling your tank between the two grades
= $37.80 - $35.52 = $2.28
Therefore the correct option is b.) $2.28
Final answer:
The difference in the cost of filling the 15-gallon gas tank between the two grades of gasoline is $2.28.
Explanation:
Firstly, let's calculate how many gallons are needed to fill the car's tank completely, since it currently has 3 gallons left in a 15-gallon tank. This means the car requires 15 - 3 = 12 gallons of gasoline to be filled up.
Next, we calculate the cost to fill up the car with the lower grade gasoline that costs $2.96 per gallon. The cost for 12 gallons would be 12 x $2.96 = $35.52.
Then, we calculate the cost to fill up the car with the premium gasoline that costs $3.15 per gallon. The cost for 12 gallons would be 12 x $3.15 = $37.80.
Finally, to find the difference in cost between the two grades of gasoline, we subtract the lower cost from the higher cost: $37.80 - $35.52 = $2.28. Hence, the difference in cost is $2.28, so the correct answer is option (b).
Ross drives 210 miles in 3 hours. If Ross continues to drive at the same rate, how many miles can he drive in 9 hours?
Answer:
630 miles :)
Step-by-step explanation:
Answer:
630 miles
Step-by-step explanation:
3 hours times 3 = 9 hours
210 miles times 3 = 630 miles
please help !! My friend has a math test tomorrow and he is struggling to answer this:
Find the equation of a straight line that has a perpendicular bisector of AB.
A = (2,6) B = (5, -2)
Answer:
So the line that is a perpendicular bisector of AB is [tex]y=\frac{3}{8}x+\frac{11}{16}[/tex].
Step-by-step explanation:
If we are looking for a line such that is is perpendicular bisector of AB, then we first need to find the midpoint of AB.
The midpoint of AB is going to be the "average" point.
What I mean by this, to find the x-coordinate of the midpoint we need to average our x-coordinates of our endpoints and we also need to do the same for the y-coordinate part.
Let's begin this.
The average of the x-coordinates of the endpoints are:
[tex]\frac{2+5}{2}=\frac{7}{2}[/tex]
The average of the y-coordinates of the endpoints are:
[tex]\frac{6+(-2)}{2}=\frac{4}{2}=2[/tex]
This concludes the midpoint of AB is [tex](\frac{7}{2},2)[/tex].
Now we also need to calculate the slope of [tex]AB[/tex] so we can find the slope of the line perpendicular to it.
To do this we could use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Without using the formula directly, I like to line the points up vertically and subtract. I then put the 2nd difference over the first difference. Like so,
[tex](5,-2)[/tex]
-[tex](2,6)[/tex]
----------------------
[tex]3 , -8[/tex]
So the slope is [tex]\frac{-8}{3}[/tex].
The line that is perpendicular to the line AB will have an opposite reciprocal slope.
So the line we are looking for has slope [tex]\frac{3}{8}[/tex].
So we are looking for a line going through the midpoint [tex](\frac{7}{2},2)[/tex] and has slope [tex]\frac{3}{8}[/tex].
A line in slope-intercept form is [tex]y=mx+b[/tex].
We know [tex]m=\frac{3}{8}{/tex] and we know a point [tex](x,y)=(\frac{7}{2},2)[/tex]. We could plug this in to find [tex]b[/tex].
Let's do that now.
[tex]2=\frac{3}{8}(\frac{7}{2})+b[/tex]
Simplify:
[tex]2=\frac{21}{16}+b[/tex]
Subtract 21/16 on both sides:
[tex]2-\frac{21}{16}=b[/tex]
Find a common denominator:
[tex]\frac{32}{16}-\frac{21}{16}[/tex]
[tex]\frac{11}{16}[/tex]
So the line that is a perpendicular bisector of AB is [tex]y=\frac{3}{8}x+\frac{11}{16}[/tex]. This is so because the line we found will be perpendicular to AB while also cutting AB into two equal halves.
Included angle between WA and AS
Answer:
I believe the answer is angle A.
Step-by-step explanation:
I think it is angle A because INCLUDED angle between WA AS and only angle a is included in both. Hope this helps.
Answer:
< AStep-by-step explanation:
-3/4 / (-8/5) write in simplest form
Answer:
Ans = 15/32
Step-by-step explanation:
-3/4 / (-8/5)
= -3/4 ÷ (-8/5)
= -3/4 * -5/8
= 15/32 (- * - = +)
On a weekend class gathering at a museum, a teacher brings $50 to pay for museum
admission. She buys an adult ticket for $3.50 and 13 student tickets. Three students arrive late
so she buys 3 more student tickets. She has $18.50 left. Which equation can you use to find the
cost of a student ticket?
a. 13x + 3x = 50 - 18.50 c. 13x + 3.50 +3x = 50
b. 13x + 3.50 + 3x + 18.50 = 50 d. 3x = 3.50 + 13x
The equation used to find the cost of student ticket is:
[tex]13x + 3.50 + 3x + 18.50 = 50[/tex]
Solution:
Given that,
A teacher brings $50 to pay for museum admission
She buys an adult ticket for $3.50 and 13 student tickets
Cost of adult ticket = $ 3.50
Let "x" be the cost of each student ticket
Three students arrive late so she buys 3 more student tickets
She has $18.50 left
The equation used to find the cost of student ticket is:
Cost of adult ticket + 13 student tickets x cost of each student ticket + 3 student ticket x cost of each student ticket = 50 - 18.50
[tex]3.50 + 13x + 3x = 50-18.50\\\\13x + 3.50 + 3x + 18.50 = 50[/tex]
Thus the above equation is used
A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working.
Got 2/4 marks for 14/55
Answer:
28/55
Step-by-step explanation:
The probability of taking a red bead first and a white bead second is:
P(red, white) = (7/11) (4/10)
P(red, white) = 14/55
The probability of taking a white bead first and a red bead second is:
P(white, red) = (4/11) (7/10)
P(white, red) = 14/55
So the probability that one bead of each color is taken is:
P = P(red, white) or P(white, red)
P = 14/55 + 14/55
P = 28/55
Answer:
56/110=14/55
Step-by-step explanation:
you get 4 marks!
put me as brainiest please!
Which expression is not equivalent to cos 150°
A) sin 240 degrees
B) cos 210 degrees
C)cos 60 degrees
D) -sin 60 degrees
Answer:
cos 60° isn't equivalent
Step-by-step explanation:
cos 60°=1/2
The expression that is not equivalent to cos 150° is option C, cos 60 degrees, because it lies in the first quadrant where cosine is positive, unlike cos 150° which is negative.
The expression that is not equivalent to cos 150° is C) cos 60 degrees. The cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants. Since 150° lies in the second quadrant, cos 150° is negative. Now, if we look at the provided options, sin 240° is essentially -sin(240° - 180°), which equals -sin 60°; this is the same as cos(180° - 240°), which equals cos(330°) or cos(−30°), and therefore, equivalent to cos 150°.
Similarly, cos 210° is also in the third quadrant where cosine is negative; this is the same as -cos(210° - 180°), which equals -cos 30° which also equals -sin 60°. Therefore, this is equivalent to cos 150° as well. In contrast, cos 60° lies in the first quadrant where cosine is positive, which does not match the sign of cos 150°. Lastly, -sin 60° is simply the negative of sin 60° and since sin 60° = cos 30°, it matches the value of cos 150° in terms of magnitude but is opposite in sign, thus it is equivalent to cos 150°.
Therefore, option C, cos 60 degrees, is not equivalent to cos 150°.
Go to the link related to Brainly of course, and "answer" the question that's there, ok?
Mathematics question: https://brainly.com/question/14650018
Answer:
56:190
Step-by-step explanation:
That's the ratio?
I'm not sure what the question is asking.
Answer:
28:95
Step-by-step explanation:
if u have 56 apples to 190 candy bars, whats the ratio ?
the ratio of apples to candy bars = 56/190 which reduces to 28/95
so the ratio is 28:95 <===
Which pair of ratios is equal to sinP ? I’ll give you best brainliest
Answer:
B.
Step-by-step explanation:
The sine is opposite side / hypotenuse so
sin P = ST / PS and QR / PQ.
Answer:
Option 2
Step-by-step explanation:
SinP=ST/PS
Or
SinP=QR/PQ
Factor completely. x2−2x−24 Enter your answer in the box.
Answer:
x = -4
x = 6
Step-by-step explanation:
x² - 2x -24 = 0
x² - 6x + 4x - 24 = 0
x ( x - 6 ) + 4 ( x - 6) = 0
x + 4 and x- 6
so either of them is zero so values if x are
X = -4
X = 6
The Answer is (x+4) (x-6). I just took the test
Find the product.
(3y-2)(3y+2)
Answer:
=9y^2−4
Step-by-step explanation:
3y−2)(3y+2)
=(3y+−2)(3y+2)
=(3y)(3y)+(3y)(2)+(−2)(3y)+(−2)(2)
=9y^2+6y−6y−4
=9y^2−4
Answer:
9y^2-4
Step-by-step explanation:
(3y-2)(3y+2)
9y^2-6y+6y-4
9y^2-4
Solve the equation 0.5p-3.45=-1.2
Answer:
4.5
Step-by-step explanation:
The equation above is such that we find the value of p. Therefore, it is calculated thus:
0.5p - 3.45 = -1.2
Add 3.45 to both sides of the equation
0.5p - 3.45 + 3.45 = -1.2 + 3.45
0.5p = 2.25
Divide both sides by 0.5
0.5p/ 0.5 = 2.25/0.5
p = 4.5
Answer: The answer is 4.5
Step-by-step explanation:
0.5p - 3.45 = -1.2
So basically, you take everything on the left of the equal sign (0.5p-3.45) then since the sign is telling you to subtract, you use the inverse operation, so you would add 0.5 to the 3.45 and to the -1.2. So when you add the 0.5 to the 3.45, it cancels out, and when you add it to the -1.2, you should get 2.25. Then now that your done adding, your expression should be: 0.5p = 2.25. Then, now that you have 0.5p = 2.25, and there is no sign, multiplication is expected, but since were using the inverse operation, were dividing. So, 0.5p divided by 0.5 cancels out, and then you divide the 2.25 by 0.5 and you should get 4.5 after dividing. So, your final answer should be p = 4.5.
Hope this helps!!