Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
y=5
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
x=16
Now to check if our answers are correct, we plug in both values into any equation and see if they equate.
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
If the line segment joining the points A(4, − 5) and B(4, 5) is divided by the point P such that AP/PB = 2/5. find the co-ordinates of P.
Answer:
Step-by-step explanation:
0P=OA+AP
=OA+2/5(AB)
=(4,-5)+2/5(0,10)
=(4,-5)+(0,4)
=(4,-1)
therefore P(4,-1)
How do i graph those
The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Plotting the graph using geogebra online graphing tool.
The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).
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Victor just bought a new television for $682.00. He made a down payment of $55.00 and will pay monthly payments of $33.00 until it is paid off. How many months will Victor be paying? (Assume that Victor pays no interest.)
Answer:
19 months
Step-by-step explanation:
First off 682- 55 = 627. 627/33 = 19
help grade 5 math please only answer if you know and if it’s right ill mark brainliest and please fast extra points who explain it
Answer:
[tex]\frac{42}{8}[/tex]
Step-by-step explanation:
7/8 <> 0.875
0.875 * 6 = 5.25
5.25 <> 42/8
(<> is used to show decimal to fraction and vice versa [the other way around])
Your are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's width. The area of the card is 88 square inches. What is the width of the card to the nearest tenth of an inch?
The width of the card to the nearest tenth of an inch is 6.15 inches
Area of rectangleWidth = xLength = 2x + 1Area = 88 square inchesArea of a rectangle = Length × Width
88 = (2x + 2) × x
88 = 2x² + 2x
2x² + 2x - 88 = 0
x = -b ± √b² - 4ac / 2a
= -2 ± √2² - 4(2)(-88) / 2(2)
= -2 ± √4 - (-704) / 4
= -2 ± √708 / 4
= -1/2 ± √177/2
x = 6.15 or -7.15 inches
The width of the rectangle can not be negative, so, 6.15 inches is the width.
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What should m<3 be for I1 II2
Answer:
63
Step-by-step explanation:
180 - 117 = 63 which is used to figure out angle 2.
Angle 2 and angle 3 are corresponding angles thus the measure of angle 3 is 63 degrees.
Answer:
Search up online
Step-by-step explanation:
i don't actually know but searching online is good
PLEASE HELP i WOULD GREATLY APPERTICATE IT
Answer:
Factor 4x^3 - 7x^2y+15y-30y
Factor:4x^3-7x^2-30/y+15:
⬇
4x^3y-7x^2y+15y-30
y
been having this question for a while and this app wont help
The answer is B
When there is a solid point that means it is included in the graph, so you'd use a greater/less than or equal to symbol (the one with a line under). If it's an unfilled point then it means that it is not included in the graph, so you'd use a greater/less than sign.
The x² equation is less than 2 while the linear equation is greater than or equal to 2.
We know it's the x² equation that is less than two because it has a curve in it.
It takes 15 men, 48 days to weed a plot of land. How
의
plot of land in 16 days, if
mary men can weed the same
kry work at the sametime?
Answer:
it takes 48 days for 15 men to work
it takes 16 days for 15/48*16
the answer is 5 men
Answer:
45 men
Step-by-step explanation:
If you 1/3 the amount of time (from 48 to 16 ) to weed the plot, you will need to TRIPLE the number of men to 45 men
On the first journey, a cyclist travelled 1 1/2 km in x minutes.
On the second journey, the same cyclist travelled for y hours at the same average speed as on his first journey. Express, in terms of x and
total distance travelled in km for both journeys.
The equation D = 1.5x/y represents the total distance traveled in km in terms of x.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
On the first journey, a cyclist traveled 1 1/2 km in x minutes.
As we know,
Speed = distance/time
Distance = 1 1/2 = 3/2 km = 1.5 km
time = x
Speed = 1.5/x
On the second journey, the same cyclist traveled for y hours at the same average speed as on his first journey.
Distance = speed×time
Distannce(D) = (1.5/x)(y)
D = 1.5x/y
Thus, the equation D = 1.5x/y represents the total distance traveled in km in terms of x.
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Hey guys, need help here
Assuming [tex]a[/tex] is a non-negative real number...
Raise both sides to the power 2 :
[tex]a^{3/4} = 8 \implies \left(a^{3/4}\right)^2 = 8^2 \implies a^{3/2} = 64[/tex]
which follows from the exponent product property, [tex](x^y)^z=x^{yz}[/tex]. In particular, 3/4 × 2 = 6/4 = 3/2.
Raise both sides to the power 1/3 :
[tex]\left(a^{3/2}\right)^{1/3} = 64^{1/3} \implies a^{1/2} = 4[/tex]
where we use the same property as before, and 4³ = 64. This time, 3/2 × 1/3 = 3/6 = 1/2.
Take the reciprocal of both sides. This negates the exponent, so we end up with
[tex]\dfrac1{a^{1/2}} = \dfrac14 \implies \boxed{a^{-1/2} = \dfrac14}[/tex]
Of course, you could also solve for [tex]a[/tex] immediately by raising both sides of the original equation to the power 4/3. We have 4/3 × 3/4 = 12/12 = 1, so
[tex]a^{3/4} = 8 \implies \left(a^{3/4}\right)^{4/3} = 8^{4/3} \implies a = 8^{4/3}[/tex]
Now 2³ = 8, so [tex]8^{4/3} = \left(8^{1/3}\right)^4 = 2^4 = 16[/tex], and since 4² = 16, it follows that
[tex]a = 16 \implies a^{1/2} = \sqrt{16} = 4 \implies a^{-1/2} = \dfrac14[/tex]
PLEASE HELP ASAP
The value of "y" varies directly with "x" and
y=-8 when x = 20.
Find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
y = 2
Answer:
Just think of which number, when you multiply it with 20 will give you -8
and then you multiply that number with -4 to get y. Hope it helps!
The table below shows a relationship between x and y values. Which of the following equations describes this relationship?
Answer:
y=2x+1
Step-by-step explanation:
bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and
are not replaced.
To the nearest hundredth, what is the probability that a black pen IS chosen first and then another black pen is
chosen?
ANSWER AT THE BOTTOM
Question:
There is a bag with 1 red pen, 4 black pens, and 3 blue pens. If 2 pens are chosen from the bag without replacement, what is the probability that you chose 2 black pens.
Explanation:
Right now there are a total of 8 pens. 4 of them are black. So, the probability of choosing a black pen right now is 4/8, or 1/2.
Lets assume we picked a pen and got black.
Now there are only 7 pens in the bag, and only 3 of them are black. The probability of choosing a black pen right now is 3/7.
So on the first draw, the probability is 1/2
And on the second draw, the probability is 3/7
To find the probability of 2 ocurrences happening in a row, we must multiply their individual probabilities.
For example, if we wanted to find the probability of rolling two 6's in a row on a dice, we would need to mutiply the individual probability together. The probability of rolling one 6 is 1/6, so the probability of rolling two 6's in a row is 1/6 MULTIPLIED BY 1/6, which is 1/36.
The probability of rolling two 6's in a row is 1/36.
Lets apply the same principle to our situation right now.
So on the first draw, the probability is 1/2
And on the second draw, the probability is 3/7
1/2 MULTIPLIED BY 3/7 = 3/14
3/14 in decimal form is 0.21
ANSWER:
0.21, OR 21%
A line that includes the point (0, 6) has a slope of 1/3. What is its equation in slope-intercept
form?
Answer:
y=⅓x+b
Step-by-step explanation:
So basically the formula of slope-intercept is:
y=mx+b
and m=⅓
so
y=⅓x+b and it includes the point (0, 6) so:
6=⅓(0)+b===> b=6===> y=⅓x+6
PLEASE HELP!!!!!
Estimate the solution to the system of equations.
y=4x−2
y=x+3
(Choice A)
x= 2/3
y= 4 2/3
(Choice B)
x= 1 2/3
y=3 2/3
(Choice C)
x= 1 2/3
y=4 2/3
(Choice D)
x=2/3
y= 3 2/3
The value of the variable x and y will be 1 2/3 and 4 2/3. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
y = 4x − 2 ...1
y = x + 3 ...2
Subtract equation 1 from 2, then we have
0 = 3x – 5
3x = 5
x = 5/3
x = 1 2/3
Then the value of y will be
y = 5/3 + 3
y = 14 / 3
y = 4 2/3
Then the correct option is C.
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HELP WITH MY GHGGHH THAKSSS
Therefore, [tex]\frac{8}{7}= 1.14[/tex] cannot represent the probability of an event. So, option C is correct.
We need to identify which of the given option cannot represent the probability of an event.
What is probability?The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.
By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Now, [tex]\frac{1}{14} =0.0714, \frac{8}{7}= 1.14[/tex] and [tex]\frac{20}{21}=0.952[/tex].
Therefore, [tex]\frac{8}{7}= 1.14[/tex] cannot represent the probability of an event. So, option C is correct.
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What is the value of x?
Enter your answer in the box.
x =
Answer:
4
Step-by-step explanation:
In triangle JKL, the side opposite the 30 degree angle, JL, is half the length of the hypotenuse, KL. Thus, JL has a length of
[tex]4 \sqrt{2} [/tex]
In triangle JML, the hypotenuse is
[tex] \sqrt{2} [/tex]
times the length of the leg, meaning that x = 4
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
(Answer is not 10 cents) Tried it
Ryan invested $5000 in an account that averaged 5% growth per year. Which equation would be used to best model the situation?
Answer:
f(x)=5000(1+0.05)^x
Step-by-step explanation:
Use the formula: f(x)=P(1+b)^x
P is principal or y-intercept. 5000 is principal.
b is the percentage in decimal form. 0.05 is b.
x is time, in this case years. Since there is not a certain number of years leave x as x.
f(x)=5000(1+0.05)^x
Hope this helps!
If not, I am sorry.
Given a sand box with dimensions of 4 feet, 6 feet and 2 feet. What is the maximum
amount of sand it can hold?
The sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We have a sandbox:
The length of the sandbox = 4 feet
The width of the sandbox = 6 feet
The height of the sandbox = 2 feet
Amount of sand can hold = volume of the sandbox
= 4×6×2
= 48 cubic feet
Thus, the sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.
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What is the denominator of the simplified expression? (startfraction 2 n over 6 n 4 endfraction) (startfraction 3 n 2 over 3 n minus 2 endfraction)
The denominator of the simplified expression will be (9n² + 4).
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expression is given below.
[(2 / 6n + 4)] [(3n + 2) / (3n – 2)]
On multiplication, we have
(6n + 4) / (18n² + 8)
(3n + 2) / (9n² + 4)
The denominator of the simplified expression will be (9n² + 4).
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Someone help me pleaseee
Answer:
A.) 588329.896
B.) 274300
C.) 1657.18474
D.) 1.002
(All answers unrounded.)
Explanation:
I converted each unit to the unit used in the other number (E.g., for question A I converted tons to kilograms, and then finished solving.)
What is a name for the marked angle?
Answer:
angle CAD
Step-by-step explanation:
look at the 3 points that make up the angle
Select the correct answer.
Sammile pays $30 for a bag that she buys at a discount of 50% What is the price of the bag without the discount?
O A $30
O B. $45
O C. $60
O D. $80
If 30 is half price, then what is full price?
You can set up this problem like this:
30 = x/2
OR
30 = (1/2)x
where x is the full price.
To solve, simply multiply each half by 2:
2(30) = 2((1/2)x)
x = $60
Drag a statement or reason to each box to complete this proof.
If −3(x+8)=−21, then x=−1.
(Please refer to attached image for more info.)
Answer:
1. -3(x+8) = -21
2. Division property of equality
3. x + 8 = 7
4. Subtraction Property of Equality
(Not quite sure whether #2 is division or distributive, but i'm 90% sure it's division).
Write as an algebraic expression and then simplify if possible :
the sum of x and x+3
Answer:
2x + 3.
Step-by-step explanation:
x + x + 3
= 2x + 3.
Answer:
2x+3
Step-by-step explanation:
x+x+3=2x+3
sum means to add both expression together and we can see there are 2 x's so we can add them and get 2x+3
The slope of the line below is 2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
• (3,10)
) A. y+ 10 = 2(x+ 3)
B. y - 10 = -2(x- 3)
D C. y + 10 = -2(x+3)
D. y - 10 = 2(x - 3)
Answer:
y - 10 = 2(x - 3)
Explanation:
Equation:
y - y₁ = m(x - x₁)
Here given:
coordinates: (x, y) = (3, 10)
x₁ = 3y₁ = 10slope (m) = 2Inserting value's:
y - 10 = 2(x - 3) in point slope form
y = 2x - 6 + 10
y = 2x + 4 in slope-intercept form
Answer:
d) y - 10 = 2(x - 3)
Step-by-step explanation:
Given: a line with a slope of 2, and the point (3, 10)
⇒ Point-Slope Form: y - y₁ = m(x - x₁)
where: m is the slope, and (x₁, y₁) is a given point
Substitute the values into the form:
⇒ y - y₁ = m(x - x₁)
⇒ y - 10 = 2(x - 3)
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Can you help find m<1
Answer:
69 degrees
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
<1 = 39+ 30
<1 = 69
Using your answer from the previous question, state the value of 't' if Josephine is going to run a dis-
tance of 15 miles at a rate of 5 miles per hour.
Previous answer t=d/r
Using the relation between velocity, distance and time, it is found that t = 3 hours.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
For this problem, the parameters are given as follows:
d = 15 miles, v = 5 mph
Hence the time in hours is found as follows:
[tex]v = \frac{d}{t}[/tex]
[tex]5 = \frac{15}{t}[/tex]
5t = 15
t = 15/5
t = 3 hours.
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