Answer:
D
Step-by-step explanation:
The amount of miles increase and the amount of gasoline used increases
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-7,-2)
Step-by-step explanation:
y = 3x + 19
y = 5x + 33
Substitute in y. Basically set equal to each other.
3x + 19 = 5x + 33
-2x = 14
x = -7
y = 3 (-7) + 19
y = -21 + 19
y = -2
Answer:
y = -2
x = -7
Step-by-step explanation:
Substitute y= 5x + 33
5x + 33 = 3x + 19
Isolate x for 5x + 33 = 3x + 19: x = -7
For y = 5x + 33
Substitute x = -7
y = 5(-7) + 33
y = -2
So the solution is y= -2, x=-7
What is the negation of 5
Answer:
-5
Step-by-step explanation:
Answer:
the correct answer is its -5
Need help on this!!! 7 points!!!
Answer:
P= $226,863.29
Step-by-step explanation:
Compounded Continously means
P= P₀e^(rt)
plug in givens
P=(47000)e^(0.0926*17)
Use Calculator
and get P= $226,863.29
Answer:
$226,863.29
Step-by-step explanation:
P = $47,000
r = 0.0926
t = 17
A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]
A = $226,863.29
Help me with this problem
Answer:
x = 30
Step-by-step explanation:
If A parallel to B , then
2x and 4x are same- side interior angles and sum to 180° , that is
2x + 4x = 180
6x = 180 ( divide both sides by 6 )
x = 30
Which statement correctly describes the graph of ?
Answer:
I think it's c
Step-by-step explanation:
Well I believe that would mean that one coordinate would shift by five, c looks the most likely in this case.
I was actually surprised to see that statement A is correct
graphed around with desmos until I reconstructed f(x), then graphed f(x+4)
see screenshot
Can some help me with this question?
Answer:
B.
Step-by-step explanation:
f(t) = 5 * 2^t
At the y-intercept, t = 0.
f(0) = 5 * 2^0
f(0) = 5 * 1
f(0) = 5
At time = 0, the coin is worth $5.
The value of the y-intercept is the value of the coin at time = 0, which is when the coin was purchased.
Answer: B.
The mass of a silver plate is directly proportional
to its volume. When its volume is 20 cm3, its
mass is 210 g.
(a) Find the mass of a silver plate of volume
50 cm3
(b) If the mass of a plate is 399 g, what is
its volume?
Answer:
(a) 525 g
Since they're proportional to each other:
[tex]\frac{20cm^{3} }{210g} =\frac{50cm^{3} }{Xg}[/tex]
Cross-multiply & solve:
[tex]20x=210*50\\20x=10500\\x=\frac{10500}{20} =525[/tex]
(b) 38 cm^3
Same thing, different numbers:
[tex]\frac{20cm^{3} }{210g} =\frac{Xcm^{3} }{399g}[/tex]
Cross-multiply & solve:
[tex]210x=20*399\\210x=7980\\x=\frac{7980}{210} =38[/tex]
Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units
Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]
The breadth is the distance between (3, 2) and (3, 0):
[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
Find a linear function f, given f(6) = - 4 and f(-3) = - 10. Then find f(0).
f(x)=0
(Type an expression using x as the variable. Simplify your answer.)
f(0) = (Simplify your answer.)
PLZ HELP
Answer:
[tex]y = \frac{2}{3} x - 8[/tex]
f(0)=-8
Step-by-step explanation:
Slope=rise/run=(-4-(-10))/(6-(-3))=6/9=2/3=m
y=m*x+q
-4=(2/3)*(6)+q
q=-8
f(0)=(2/3)*(0)-8=-8
Which of these is the equation of the new function?
Solve for x. PLZ HELP ASAP!!!
X is a vertical angle to the angle marked as 100 degrees.
Vertical angles are the same so x = 100 degrees
Answer: 100 degrees
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
[tex]x = 2 \\ y = 7[/tex]
is the answer to:
[tex]y = 11 - 2x \\ 4x - 3y = - 13[/tex]
_________________________________________
[tex]x = 5 \\ y = 2[/tex]
is the answer to:
[tex]2x + y = 12 \\ x = 9 - 2y[/tex]
_________________________________________
[tex]x = 3 \\ y = 5[/tex]
is the answer to:
[tex]2x + y = 11 \\ x - 2y = - 7[/tex]
_________________________________________
[tex]x = 7 \\ y = 3[/tex]
is the answer to:
[tex]x + 3y = 16 \\ 2x - y = 11[/tex]
Suppose that there is a negative correlation between the variables k and l. If l is 150 when k is 7, which of these is most likely to be the value of l when k is 14.
A. 300
B. 150
C. 75
D. 225
Answer:
d
Step-by-step explanation:
Answer:
the person above me is correct
Step-by-step explanation:
cus I know
can anyone help me here asapp,, I am in this question for nearly an hour
Answer:
See below
Step-by-step explanation:
Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:
AB^2 - BD^2 = AD^2
We have the values of AB and BD, so we can substitute them and solve for AD:
x^2 - (x/2)^2 = AD^2
x^2 - x^2 / 4 = AD^2
AD^2 = 3x^2 / 4
AD = x√3 / 2
DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:
AD^2 + DE^2 = AE^2
(x√3 / 2)^2 + x^2 = AE^2
3x^2 / 4 + x^2 = AE^2
AE^2 = 7x^2 / 4
AE = x√7 / 2
Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4
Therefore, we can come to the conclusion AE^2 = 7 EC^2
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
x – 2
x – 4
x – 6
x – 8
Answer:
x-2
Step-by-step explanation:
Dividing 3x2 – 10x + 8 by 3x-4 we get x-2.
Apply the distributive property to create an equivalent expression.
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals
Answer:
[tex]4x-8+4y[/tex]
Step-by-step explanation:
We are given that an expression
[tex]4(x-2+y)[/tex]
We have to find an equivalent expression using distributive property .
Distributive property:
[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
Using the property
[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]
[tex]4(x-2+y)=4x+4(-2)+4y[/tex]
[tex]4(x-2+y)=4x-8+4y[/tex]
Hence, the equivalent expression of the given expression is given by
[tex]4x-8+4y[/tex]
A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan
Answer:
2400
Step-by-step explanation:
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
so, let's calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
The answers to this question make no sense please help
Answer:
Step-by-step explanation:
each die has numbers 1-6 thus there are 36 (6*6) possible outcomes
a) 18 of the 36 are even = 1/2 = .5 = 50%
b) (1,2) and (2,1) are the only 3's 2/36 = 1/18 = .055
c) there are 10 combos that are LESS THAN 6 (2,3,4,5)
10/36 = .277 = 27.7%
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week. Project Grading Day Hours Grading Monday 1 and three-fourths Tuesday 1 and one-half Wednesday 1 and one-fifth Thursday 2 Friday 1 and one-fourth How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects? 1 and three-fifths hours 4 and StartFraction 3 over 10 EndFraction hours 6 and one-half hours 19 and StartFraction 7 over 10 EndFraction hours
Answer:
B
Step-by-step explanation:
Option B is correct, 4 and 3/10 hours will Mrs. Nygaard need to work over the weekend to finish grading the projects.
What is Fraction?A fraction represents a part of a whole.
To find the total amount of time Mrs. Nygaard has available during the week to grade projects, we need to add up the hours for each day:
1 and three-fourths + 1 and one-half + 1 and one-fifth + 2 + 1 and one-fourth = 7 and five-tenths hours
This means that Mrs. Nygaard has 7.5 hours during the week to grade projects.
If she needs 12 hours to grade all the projects, then she will need to work for an additional:
12 - 7.5 = 4.5 hours over the weekend to finish grading the projects.
Therefore, 4 and 3/10 hours required to Mrs. Nygaard need to work over the weekend to finish grading the projects.
To learn more on Fractions click:
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Convert 10,000 seconds into the number of equivalent hours, minutes, and seconds.
Answer:
She's "Hot"!
Step-by-step explanation:
P=A+B+C What is B? You can get 50 points.
Answer:
I guess B=C
Step-by-step explanation:
If it's correct then please mark me brainliest
Let a and b be the solutions to x^2 + x − 3 = 0. Find the value of a^3 − 4b^2 + 19.
If you can't solve it don't answer.
This is a challenge.
Good luck!
Answer:
0.037
Step-by-step explanation:
Given that,
Let a and b be the solutions to [tex]x^2 + x -3 = 0[/tex]
It can be solved using quadratic formula where a = 1, b = 1 and c = -3
So,
[tex]x=\dfrac{-1+\sqrt{1^2-4\times 1\times (-3)}}{2(1)},\dfrac{-1-\sqrt{1^2-4\times 1\times (-3)}}{2(1)}\\\\x=1.30,-2.3[/tex]
Let a = 1.3, b = -2.3
The value of [tex]a^3 -4b^2 + 19[/tex] can be given by :
[tex]a^3 -4b^2 + 19=(1.3)^3-4\times (-2.3)^2+19\\\\=0.037[/tex]
So, the value of the given expression is 0.037.
The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you see regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers
Answer:
Step-by-step explanation:
I am sort. I have no idea
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
large pies cost £3.25 each
small pies cost £1.80 each
five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay
Answer:
1.66 £
Step-by-step explanation:
(2 * 3.25 + 1.80) : 5 =
8.3 : 5
1.66 £
write down five numbers so that the mean is 6 the median is 5 and the mode is 4
Answer:
4,4,5,7,10
Step-by-step explanation:
this can be
4,4,5,7,10
5 is in the middle because 5 is median
4 appeared thrice cause it is the mode
and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30
Answer:
The 5 numbers can be: 4, 4, 5, 8, 9.
Step-by-step explanation:
In 4, 4, 5, 8, 9. 5 is the median (The middle number).
The mode is 4 because 4 is the most repeated number.
(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.
Hope this helps! :)
According to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
find the sum or difference of the following ( simplify all answers)
a) 1/5 + 3/5=
b) 5/8-1/8=
c) 8/9 + 4/9 =
d) 3/5+ 1/10=
e) 2/3 +3/4=
f) 4/5- 1/3=
Evaluate
-2 x 3/12 x 5/10 x 7/15
[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]
What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.
Substituting the values given in the problem, we get:
(x', y') = (4*(-6), 4*(-2))
Simplifying,
(x', y') = (-24, -8)
Therefore,
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
Learn more about scale factors here:
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In 90 minutes, John can run 30 laps around the track. Determine the number of laps he can run per hour.
Answer:
in 90 minutes he ran 30 laps
there is 60 minutes in a hour so the fraction would be
2/3 so we have to multiply this by 30
2/3*30=20
He can run 20 laps in a hour
Hope This Helps!!!