Answer:
A
Step-by-step explanation:
will take long to explain...but am sure it's A
Find the equivalent expression for 7-3(2x+5)
-6x-8
4(2x+5)
7-6x+5
7-3(7x)
Answer:
-6x -8
Step-by-step explanation:
7-3(2x+5)
Distribute
7 - 6x -15
Combine like terms
-6x +7-15
-6x -8
Answer:
[tex]\boxed{\sf \ \ \ -6x - 8 \ \ \ }[/tex]
Step-by-step explanation:
Hello
7 - 3(2x+5) = 7 -3*2x -3*5 = 7 - 6x - 15 = -6x - 8
hope this helps
do not hesitate if you have any question
Which of the following systems has equations that are dependent?
1. 2x + 2y = 6
4x + 4y = 4
2. 2x + 2y = 6
2x - 2y = 6
3. y = -x+3
y = -x-3
4. 2x+2y = 6
y = -x + 3
Apply the power of a power property to simplify y 4/3• y 2/3 - 1/2 = y2- - 1/2 =
Answer:
[tex]y^{ \frac{3}{2}}[/tex]
Step-by-step explanation:
From the question posted, you've already initiated the solution but you applied a wrong approach;
Given
[tex]y^{\frac{4}{3}} . y^{\frac{2}{3} - \frac{1}{2}}[/tex]
Required
Simplify; using power property
Power property states that;
[tex]a^m.a^n = a^{m+n}[/tex]
[tex]a^m/a^n = a^{m-n}[/tex]
By comparison; we have to apply the first property;
This is shown below;
[tex]y^{\frac{4}{3}+\frac{2}{3} - \frac{1}{2}}[/tex]
Add fraction of the same numerator
[tex]y^{\frac{4+2}{3} - \frac{1}{2}}[/tex]
[tex]y^{\frac{6}{3} - \frac{1}{2}}[/tex]
[tex]y^{2 - \frac{1}{2}}[/tex]
Subtract fraction
[tex]y^{ \frac{4-1}{2}}[/tex]
[tex]y^{ \frac{3}{2}}[/tex]
The expression [tex]y^{\frac{4}{3}} . y^{\frac{2}{3} - \frac{1}{2}}[/tex] is equivalent to [tex]y^{ \frac{3}{2}}[/tex]
Answer:
C- 1/y
Step-by-step explanation:
go it right on edge
A tent rental company charges a mandatory $175 setup fee and a $110 hourly rental fee. Which of the following equations can be used to find c, the cost of renting a tent from this company for 8 hours? A. c = 175 + 110(8) B. c = 175 - 110(8) C. c = 175(8) + 110 D. c = (175 + 110)8
Answer:
A. c (in $) = 110(8) +175
Step-by-step explanation:
$175 is the starting price so in terms of an equation or an equation of a line it is the "b" or y-intercept.
c is the "y" or the depedent variable to solve for.
$110 is the increasing interval that is multiplied by the known variable, "x".
8 is the second variable, "x" but is known.
Answer:
A.
Step-by-step explanation:
#6 I need help with that.
Answer:
Answer is x= 15
Step-by-step explanation:
(3x+18)+(8x-3)=180
11x+15=180
11x=165
x=15
Answer:
x=15 degrees
Step-by-step explanation:
The given triangle is isosceles, so both base angles are both (3x+18).
We also know that angles on a line add up to 180 degrees, so
(3x+18) + (8x-3) = 180 degrees
Simplify
11x + 15 = 180 degrees
11x = 180-15 = 165
Divide by coefficient on left-hand side
x = 165/11 = 15 degrees.
A person places $26300 in an investment account earning an annual rate of 3.8%, compounded continuously. Using the formula V=Pe∧{rt}, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.
Answer:
V = $ 54135.92
Step-by-step explanation:
The formula for compounding continuously is given as:
V = P(e)^rt
V = Amount of money in the bank after 19 years
P = Principal amount initially invested = $26300
e = base of natural log
r = Interest rate = 3.8% = 0.038
t = time in years = 19
We have to calculate the value of V. Substitute all values into the given formula:
V = P(e)^rt
V = (26300)(e)^(0.038 · 19)
V = (26300)(2.718)^(0.722)
V = (26300)(2.0584)
V = $ 54135.92
Answer:
54139.76
Step-by-step explanation:
Simplify. a - {4b - [a - (5b - c) + 3c - (a - b - 9c)]}
Answer:
a - 8b + 13c
Step-by-step explanation:
a - (4b -( a - 5b + c + 3c -(a - b - 9c)))
a - (4b - (-5b + c + 3c + b + 9c)))
a - (4b - (-4b + 13c)))
a - (4b + 4b - 13c)
a- (8b - 13c)
The length of a rectangle is represented by the function L(x) = 2x. The width of that same rectangle is represented by the function W(x) = 8x2 − 4x + 1. Which of the following shows the area of the rectangle in terms of x?
Answer: (L. W)(x) = 16x^3 - 8x^2 + 2x
Step-by-step explanation:
The Area of a rectangle is calculated thus:
Area (A) = Width(W) × Length(L)
Given that:
Length = L(x) = 2x
Width = W(x) = 8x2 − 4x + 1
A = L(x) * W(x) = (2x) * (8x2 − 4x + 1)
Factorizing L(x) * W(x)
L(x) * W(x) = (L . W)(x)
(L . W)(x) = (2x) * (8x2 − 4x + 1)
(L . W)(x) = 16x^3 - 8x^2 + 2x
I need help with this sum
Hello there! :)
Answer:
D. [tex](\frac{3 }{2}, 2)[/tex]
Step-by-step explanation:
Use the midpoint formula to solve:
[tex](x_{m}, y_{m} ) = (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points shown:
[tex](\frac{0+3 }{2}, \frac{4+0}{2})[/tex]
Simplify:
Midpoint coordinates at [tex](\frac{3 }{2}, 2)[/tex]
Please help me I need it done ASAP
Answer:
B
Step-by-step explanation:
I remember when I had this question
The first four terms of a sequence are: 1/6 4/7 9/8 16/9
Find the nth term of this sequence.
Answer:
n^2/(n + 5)
Step-by-step explanation:
The numerators are 1^2, 2^2, 3^2, 4^2, etc.
The denominators are 6, 7, 8, 9, etc.
The nth numerator is n^2.
The nth denominator is n + 5.
Answer: n^2/(n + 5)
halppp :3 Which equation can be used to calculate the area of the shaded triangle below? plss help <3
Answer:
1/2[6×10)=30
Step-by-step explanation:
A= 1/2bh
1/2×6×10=30
1/2(10×6)=30
Answer:
0.5(10x6)=30
Step-by-step explanation:
Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?
I have some red , blue, and green marbles. I have 5 less blue marbles than 4 times the red marbles. I have 3 more green marbles than 2 times the number of red marbles. All together I have 61 marbles. How many red , blue, and green marbles do I have? PLEASE ANSWER! I"LL GIVE CORRECT ANSWER AS THE BRAINLIEST ANSWER! I NEED HELP
Answer:
You have 9 red marbles, 21 green marbles, and 31 blue marbles.
Step-by-step explanation:
Let r equal the number of red marbles
Let b equal the number of blue marbles
Let g equal the number of green marbles.
"I have 5 less blue marbles than 4 times the red marbles."
4r-5=b
"I have 3 more green marbles than 2 times the number of red marbles."
2r+3=g
" All together I have 61 marbles."
r+b+g=61
Substitute the b and g for 4r-5 and 2r+3
r+(4r-5)+(2r+3)=61
5r-5+2r+3=61
5r+2r-5+3=61
7r-2=61
7r=63
r=9
2r+3=g
2(9)+3=g
21=g
4r-5=b
4(9)-5=b
36-5=b
b=31
You have 9 red marbles, 21 green marbles, and 31 blue marbles.
Let me know if this helps :)
Answer:
There are 9 red, 21 greens and 31 blues
Step-by-step explanation:
Set up equations
Let
R=# red
G=# green
B=# blue
I have 5 less blue marbles than 4 times the red marbles.
B=4R-5 .............(1)
I have 3 more green marbles than 2 times the number of red marbles.
G=2R+3..............(2)
All together I have 61 marbles.
R+G+B=61 ..................(3)
Solution:
substitute (1) & (2) in (3)
R + 2R+3 + 4R-5 = 61
Simplify
7R = 61+2 = 63
R = 63/7 = 9 ..........(4)
Substitute (4) in (1)
B = 4R-5 = 4(9) - 5 = 36-5 = 31
Substitute (4) in (2)
G = 2R+3 = 2(9) + 3 = 18+3 = 21
Need Help Please I'm Out Of Time ;( The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units ______ the origin and 7 units ______ the origin 1st Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of 2nd Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of
Answer:
Left, Up
Step-by-step explanation:
Since -2 is to the left of 0 on the x-axis, we are moving left 2 units.
Since 7 is above 0 on the y-axis, we are moving up 7 units.
Answer:
The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units left of the origin and 7 units up the origin 1st Blank
What is the y-intercept of the function, represented by the table of values
below?
х y
-2 14
1 8
2 6
4 2
7 -4
Answer:
(0,10)
Step-by-step explanation:
Kathryn's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 11 student tickets for a total of $118. The school took in $156 on the second day by selling 12 adult tickets and 12 student tickets. What is the price of each adult ticket? What is the price of each student ticket?
Answer:
Student tickets cost $8 and adult tickets cost $5.
Step-by-step explanation:
12a + 12y = 156
6a + 11y = 118
We can multiply the second equation by -2 to try and cancel out the a variable.
[tex]12a + 12y = 156\\-12a - 22y = -236\\\\-10y = -80\\y = 8[/tex]
Now that we know that the student tickets cost $8, we can substitute it into an equation to find the value of a, the adult tickets.
[tex]12a + 12\cdot8 = 156\\12a+96=156\\12a=60\\a=5[/tex]
So, adult tickets cost $5 and student tickets cost $8.
Hope this helped!
Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (1, −3)
Step-by-step explanation:
Given.
[tex]3x+5y=3[/tex]
[tex]x+2y=0[/tex]
Take the second equation and subtract 2y to both sides.
[tex](x+2y)-2y=0-2y[/tex]
[tex]x=-2y[/tex]
Substitute x into the first equation and simplify.
[tex]3x+5y=3[/tex]
[tex]3(-2y)+5y=3[/tex]
[tex]-6y+5y=3[/tex]
[tex]-y=3[/tex]
Invert.
[tex]y=-3[/tex]
Substitute Y into your second equation.
[tex]x+2y=0[/tex]
[tex]x+2(-3)=0[/tex]
[tex]x-6=0[/tex]
Add -6 to both sides.
[tex](x-6)+6=0+6[/tex]
[tex]x=6[/tex]
Answer:
(6, -3)
Answer:
(6,-3)
Step-by-step explanation:
Got it right on the test
Hope this helps :)
How do you figure out the area of a triangle?
General formula for area of triangle is [tex]A=\frac{h_bb}{2}[/tex].
Where:
[tex]h_b[/tex] is height of triangle perpendicular to base side of triangle.[tex]b[/tex] is the length of base side of triangle.Multiplying [tex]h_b[/tex] and [tex]b[/tex] results in rectangle, dividing that by 2 gives you area of a triangle.
Hope this helps.
Answer:
Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Step-by-step explanation:
The area of a triangle can be found out by the following formula:
Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
A new brand of gym shoe claims to add up to 2 inches to an athlete vertical leap. Design an experiment to test this claim. State the objective of the experiment
Answer:
I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.
I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.
You would also have to use the different shoe on the same test group of users/athletes to keep a constant.
Hope I help.
Find the range of the graphed function.
The range of the curve is from -6 to 10, i.e. -6 ≤ y ≤ 10.
Given is a graph of a curve having endpoints at (-10, -6) and (0, 10), we need to find its range.
To find the range of a curve, we need to determine the set of all possible y-values that the curve can attain.
In this case, we have the endpoints of the curve as (-10, -6) and (0, 10).
The range of the curve is the set of all possible y-values. To find it, we need to identify the minimum and maximum y-values.
The minimum y-value can be found at the lowest point of the curve. From the given endpoints, we can see that the lowest point lies at (-10, -6).
The maximum y-value can be found at the highest point of the curve. From the given endpoints, we can see that the highest point lies at (0, 10).
Therefore, the range of the curve is from -6 to 10, inclusive: [-6, 10].
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I need help plz 6.2(a+5)-2a+1.2
Answer:
4.2a+32.2Solution,
[tex]6.2(a + 5) - 2a + 1.2 \\ = 6.2 \times a + 6.2 \times 5 - 2a + 1.2 \\ = 6.2a + 31 - 2a + 1.2 \\ = 6.2a - 2a + 31 + 1.2 \\ = 4.2a + 32.2[/tex]
Hope this helps.
Good luck on your assignment...
Find CE. Please explain step by step!
Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
Step-by-step explanation:
BE=BC=25 in
trg BCE isosceles so CE=2✓25^2-20^2
=2"✓625-400=2*✓225=2*15
CE=30
The mad scientist need one third of the eyeball how many eyeball is that
Answer:
.33 as a decimal or 33%
Step-by-step explanation:
Divide 1/3 and get .33 as your decimal. To convert to a percentage multiply your decimal by 100. (.33 x 100 = 33 )
Answer:
69
Step-by-step explanation:
Create a word problem that this Part-To-Whole Ratio can represent, 6:10
Step-by-step explanation:
Question formulation: A boy has a bag of red and blue PET caps, 60 red caps and 40 blue caps, which amount to a total of 100 caps. what is the ratio of the red caps to the total caps in the bag?
Answer
Given
red caps= 60
blue caps= 40
total caps= 60+40= 100
ratio of red to total caps= red:total = 60:100
= 60/100= 6/10
= 6:10
Tara takes her pulse in order to determine her resting heart rate, measured in beats per minute ( bpm ) (bpm)left parenthesis, start text, b, p, m, end text, right parenthesis. She takes it for three minutes, and makes the following chart of the results. We'll assume that Tara's heart rate is constant over the three-minute period.
Answer:
Let x represent the number of minutes.
Lets y represents the number of beats.
Now consider the graph, when the time is equal to 1 min, the total beats are 60. We can say that this point can be taken in a coordinate plane as (1,60).
Similarly, when time is equal to 2 mins, total beats are 120, and when time is equal to 3 mins, total beats are equal to 180 mins. So the these points on the coordinate plane can be represented as (2,120) and (3,180)
Plot all the three points, and draw a line which joins them and extend the line. The line shows the proportionality relation between both values
Answer:
0,0 1,60
Step-by-step explanation:
x=1
y=60
graph
=
Step 1: Start with the equation f(x) x2. Write the equation for the graph of g(x) that has been
reflected, or flipped, over the x-axis. (2 points)
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has
also been shifted down 4 units. (2 points)
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has
also been shifted left 1 unit. (2 points)
Answer:
[tex]g(x)=-(x+1)^2-4[/tex].
Step-by-step explanation:
The parent function is
[tex]f(x)=x^2[/tex]
Step 1: Start with the equation [tex]f(x)=x^2[/tex]. Write the equation for the graph of g(x) that has been
reflected, or flipped, over the x-axis.
[tex]f_1(x)=-f(x)[/tex]
[tex]f_1(x)=-x^2[/tex]
Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has
also been shifted down 4 units.
[tex]f_2(x)=f_1(x)-4[/tex]
[tex]f_2(x)=-x^2-4[/tex]
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has
also been shifted left 1 unit.
[tex]g(x)=f_2(x+1)[/tex]
[tex]g(x)=-(x+1)^2-4[/tex]
Therefore, the required equation is [tex]g(x)=-(x+1)^2-4[/tex].
10. (2x10^-3)^3= ? Explanation please
Answer: 0.000000002
Step-by-step explanation:
Evaluation of (2x10^-3)^3 will be achieved by using the law of indices or exponent.
(A^x)^y = A^xy
Therefore,
(2x10^-3)^3= 2x10^-9
Convert the number in standard form back to normal number form
2×10^-9 = 0.000000002
Therefore,
(2x10^-3)^3 = 0.000000002
Question 6 Essay Worth 5 points)
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
40
SO
Write and solve an equation to determine the measure of angle y.
I
The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.
The angles subtended by a circle is 360°, then;
The equation is found as;
[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]
The sum of angle of the two right angle is 180°;
x°+40°+50°=180°
x=90°
y+50°+40°=180°
Y=90°
Hence, the value of y will be 90°.
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Marlene brought a can of polyurethane varnish that was stored at 40°F into her shop, where the
temperature was 74°F. After 2 hours, the temperature of the varnish was 58°F. If the varnish must be
68°F for best results, then how much longer must Marlene wait until she uses the varnish?
Please show explanation:(
Answer:
1 hour and 6 minutes
Step-by-step explanation:
A temperature difference of 58-40 = 18°F was obtained in 2 hoursA temperature difference of 68-40 = 28°F will be obtained in x hoursThe next proportion must be satisfied:
18 °F / 28 °F = 2 hours / x hours
x = 2*28/18
x = 3.1 hours in total
Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.