Answer:
A.The value of both expressions when t=3 is 33.
D.The value of both expressions when t=6 is 51.
E.The two expressions are equivalent.
Step-by-step explanation:
We are given two expressions.
3(2t + 5)
6t + 15
Now let's find the value of these two expressions when t =3 and t = 6
When t =3, the value of the expressions:
3(2*3 + 5) = 3(6 + 5) = 3(11) = 33
6*3 + 15 = 18 + 15 = 33
So the value of both the expressions is 33 when t = 33.
When t = 6, the value of the expressions:
3(2*6 + 5) = 3(12 + 5) = 3(17) = 51
6*6 + 15 = 36 + 15 = 51
The value of both the expressions is 51 when t = 51.
So the following statements are true:
A.The value of both expressions when t=3 is 33.
D.The value of both expressions when t=6 is 51.
E.The two expressions are equivalent.
FIND Y IN XYZ, help please
Given:
In triangle [tex]XYZ,m\angle X=90^\circ, m\angle Y=45^\circ, m\angle Z=45^\circ, XZ=y,YZ=15\sqrt{2}[/tex].
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
Using the above ratio for the triangle XYZ, we get
[tex]\sin Y =\dfrac{XZ}{YZ}[/tex]
[tex]\sin 45^\circ =\dfrac{y}{15\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{y}{15\sqrt{2}}[/tex]
[tex]\dfrac{15\sqrt{2}}{\sqrt{2}}=y[/tex]
[tex]15=y[/tex]
Therefore, the correct option is C.
We are making trick or treat bags.
You have 18 lollipops, 12 tootsie rolls,
and 6 red vines. What is the largest
amount of bags you can make with an
even amount in each bag. How many
of each candy is in each bag?
Answer:
It would have to be 6.
Step-by-step explanation:
If it is an even amount in each bag, then there are only 6 red vines. So, if each bag needs a red a vine, then you can only make 6 bags.
6 candys are there in each bag and each bag has 3 lollipops, 2 tootsie and 1 red vine in each bag.
We have have 18 lollipops, 12 tootsie rolls, and 6 red vines then largest
amount of bags you can make with an even amount in each bag.
What is LCM?The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.
The LCM of 18,12 and 6 is 6
Therefore 6 bags can be made
The number of lollipops in bag 18/6=3
The number of tootsie rolls in bag 12/6=2
The number of red vines in bag 6/6=1
Therefore 3 lollipops, 2 tootsie and 1 red vine in each bag
To learn more about LCM click here: https://brainly.com/question/20739723
#SPJ2
How do you solve this equation? 5p + 10 = 6p + 22
Answer:
-12 = p
Step-by-step explanation:
Isolate the p terms on one side and the constants on the other side. Subtract 5p from both sides: 10 = p + 22. Next, subtract 22 from both sides, obtaining
-12 = p
Answer:
p+12
Step-by-step explanation:
I think that's the answer hope it helps you.
-4/7p+ (-2/7p)+1/7? I need help on my assignment please :)
Answer:
What is the question, what you have to find
Step-by-step explanation:
What is the equation of a line with a slope of 2, that goes through the point (12,5)?
Answer:
[tex] y = 2x-19 [/tex]
Step-by-step explanation:
Line passes through the point [tex] (12,\: 5) =(x_1,\: y_1) [/tex] and has a slope (m) = 2
Equation of line in point slope form is given as:
[tex] y - y_1 = m(x-x_1) [/tex]
[tex]\therefore y - 5 = 2(x-12) [/tex]
[tex]\therefore y = 2x-24+5 [/tex]
[tex]\therefore y = 2x-19 [/tex]
calculate the speed of the car that travels 1000 meters in 10 seconds
PLEASE I NEED HELP ASAP
Answer:
New coordinates:
A = (-2, 1)
B = (0, 1)
C = (2, -3)
D = (0, -3)
Step-by-step explanation:
First, determine the ordered pairs for ABCD.
A = (2, 4)
B = (4, 4)
C = (6, 0)
D = (4, 0)
Horizontal movement will only affect the x coordinates of the ordered pairs. Horizontal movement includes moving to the right and left.
Vertical movement will only affect the y coordinates of the ordered pairs. Vertical movement includes moving up and down.
The question asks us to translate 4 units to the left. Moving left on the graph means we will subtract 4 from the x coordinates. The question also asks us to translate 3 units down. Moving down also means subtraction, but from the y coordinate.
New A = (2 - 4, 4 - 3) = (-2, 1)
New B = (4 - 4, 4 - 3) = (0, 1)
New C = (6 - 4, 0 - 3) = (2, -3)
New D = (4 - 4, 0 - 3) = (0, -3)
The new translation will have A at (-2, 1), B at (0, 1), C at (2, -3), and D at (0, -3).
Please help. Will give Brainliest!!
Step-by-step explanation:
[tex]\huge\mathcal\colorbox{cyan}{{\color{white}{AŋʂᏯɛཞ♡࿐}}}[/tex]
Mathematics ia a subject of study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
[tex]{\huge{\overbrace{\underbrace{\orange{Fol.low\:\:Me}}}}}[/tex]
Answer:
XZ = 10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{10}{XZ}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
XZ = 10[tex]\sqrt{2}[/tex]
2/3 divided by 4?? Help please.
In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
A.
11%
B.
3%
C.
43%
D.
30%
Answer:
Step-by-step explanation:
5x7=35 hours(Gary’s total free time per week)
7+8=15 hours(Gary is spending his time on the internet+Playing video games)
35h.....100%
15.........x%
x=42,8%=>43%
What is the measure of LXZW?
850
150°
Y
65°
95
Z
215°
W
30°
Answer:
so the answer is 95°
Step-by-step explanation:
The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.
what is the radius of 28mm
Answer:
14mm
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
they guy up there wrong ploto
I will give a brainliest
b) Find the equation of the trend line (line of best fit). Show your work. (2 points)
Answer:
Step 1:
Draw a graph - Put Customers on the x-axis and Tips on the y-axis
Equation of a line = mx + c
Then look for where the line crosses the x-axis (this is "c")
Choose two points and find the gradient using this formula:
Change in y/change in x
The number you just got is your "m"
Put it all together and you have y = Mx + C
Hope this helps please mark as brainliest :P
Step-by-step explanation:
Answer:
y = 1.86211x + 4.42878Step-by-step explanation:
Given data in the table added to scatter plot and line of best fit calculated using a graphing calculator.
See the attached graph.
The line of best fit is:
y = 1.86211x + 4.42878If a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1, what will be the resulting three-dimensional object?
Cone
Cylinder
Sphere
Pyramid
Answer:
answer = cone
Step-by-step explanation:
just took the test and got it right! :)
The resulting three-dimensional object is a cone.
We have given that,
A triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1.
We have to determine what will be the resulting three-dimensional object.
What is the cone?A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top called the top.
A cone has one face and a vertex.
Therefore the first option is correct.
The resulting three-dimensional object is a cone.
To learn more about the three-dimensional geometric shape visit:
https://brainly.com/question/12280037
#SPJ2
PLEASE HELP
solve the equation by completing the square. round to the nearest tenth if necessary.
x^2 - 12x + 9 = 0
Answer:
Step-by-step explanation:
Solution by completing the square for:
x2−12x+9=0
Keep x terms on the left and move
the constant to the right side
by subtracting it on both sides
x2−12x=−9
Take half of the x term and square it
[−12⋅1/2]^2=36
then add the result to both sides
x^2−12x+36=−9+36
Rewrite the perfect square on the left
(x−6)^2=−9+36
and combine terms on the right
(x−6)^2=27
Take the square root of both sides
x−6=±27−−√
Simplify the Radical term (1):
x−6=±3–√3
Isolate the x on the left side and
solve for x (1)
x=6±3–√3
therefore (2)
x=6+3–√3
x=6−3–√3
which becomes
x=11.1962
x=0.803848
Enoch is two times as old as MARTIN.three years ago,the difference between their ages was fifteen years.find their present ages
9514 1404 393
Answer:
Enoch is 30Martin is 15Step-by-step explanation:
The difference in ages remains the same over time. Enoch, at twice Martin's age, is still 15 years older. That means Martin is 15 and Enoch is 30.
I need help on this math question
Answer:
slope = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]
Solve the equation for x.
-x/10 = 7
x = _______
Answer:
x = -70
Step-by-step explanation:
-x/10 = 7
=> -x = 7 x 10
=> -x = 70
=> x = -70
PLEASE HELP. AND ACTUALLY TRY TO HELP DONT JUST STEAL POINTS. I will give brainliest btw but only if you help me.
Answer:
1260
Step-by-step explanation:
12/72 is 1/6 of the students going to the play
210 students go to play
210 times 6 is 1260
Answer:
1260 students
Step-by-step explanation:
Let x be the number of students in the school.
12 of the 72 students surveyed said they would attend the school pay so
(12/72)x=(1/6)x gives the predicted number of ticket sales. (Here 12*6=72 so it becomes 1/6)
The table shows 210 students purchased tickets so( 1/6)x=210
x=6*210
x=1260 students attend the school.
Write the quadratic equation in standard form:
5x2 + 7 + 3x = -3x
Answer:
Add 3x to both sides of the equation.
5x²+7+3x+3x=0
Add 3x and 3x .
5x²+7+6x=0
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c=0 Move 7.
5x²+6x+7=0
Step-by-step explanation:
Queensbury, New York is a 200 mile drive from New York City. If Laura had driven 140 miles of it already, what percent has she driven?
Answer:
70 percent
Step-by-step explanation:
140/200 = 7/10 = 0.7 = 70 percent
Can someone help me solve this, I don't understand it.
Step-by-step explanation:
this, I don't understand it.403.2 rounded to the nearest thousand dollars?
please help if you can
Answer
0
Step-by-step explanation:
Answer:
Hello! Your answer would be, 403.20
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
A town doubles its size every 98 years. If the population is currently 600, what will the population be in 392 years?
WILL GIVE BRAINIEST
9514 1404 393
Answer:
9600
Step-by-step explanation:
392 years is enough time for 392/98 = 4 doublings of the population. If the population doubles 4 times, it will be 2^4 = 16 times its present value
16 · 600 people = 9600 people . . . in 392 years
William is 11 years old. One day, his granddad took him and his younger brother to a basketball game. The tickets for the game were priced at $17 for adults (a) and $13 for children (13 years and younger) (c). What is the expression for the total cost of the tickets for William’s family and what was the total cost? *
Answer:
pls give that 17$ then I will twll
Philip use 40% off coupon on a single item in the craft store which saved him $16.42 what would the item have cost if he had not use the coupons?
Answer:
$41.05
Step-by-step explanation:
[tex]\frac{40}{100} =\frac{16.42}{x}[/tex]
[tex]40x=1642[/tex]
[tex]x=41.05[/tex]
So, the original price is $41.05.
help me plzzzzzzzzzzzzzz
Answer:
−x2+2x−1=0
Step-by-step explanation:
To write an equation in standard form, move each term to the left side of the equation and simplify.
ax2+bx+c=0
Move 1
to the left side of the equation by subtracting it from both sides.
2x−x2−1=0
Reorder the polynomial.
−x2+2x−1=0
Answer and Step-by-step explanation:
Standard form of an equation is as follows:
Ax + By = C
We have 2x, -[tex]x^{2}[/tex], and a 1.
Subtract 1 from both sides.
[tex]-x^{2} + 2x - 1[/tex] = 0 is the equation in standard form.
#teamtrees #PAW (Plant And Water)
In the equation y = X - 5, the y-intercept is
Answer:
(0, -5)
Step-by-step explanation:
The y-intercept of a graph is where the graph of the function intersects the y-axis. This means that the x-coordinate of the point is zero. To find the y-intercept of a line, when given the equation of the line, substitute (0) in for (x) and solve the equation,
y = x - 5
x = 0
y = 0 - 5
y = -5
This gives the resulting point of (0, -5) for the y-intercept of the line.
Classify these angles,
Need Help ASP
Adjacent
Linear Pair
Vertical
None of These
Step-by-step explanation:
I think vertical is the correct answer.
Describe and correct the error in finding the area of a sector with a radius of 6 centimeters and a central angle of 40
Answer:
12.56
Step-by-step explanation:
Remark
Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.
Formula
Area = (central angle divided by 360 ) * pi r^2
Solution
Area = (40 /360) * 3.14 * 6^2
Area = 1/9 * 3.14 * 36
Area = 4 * 3.14
Area = 12.56
