Answer:
t = 10
Step-by-step explanation:
z^t ⋅ z^5 = z^15
We know that a^b*a^c = a^(b+c)
z^(t+5) = z^15
Since the bases are the same, the exponents are the same
t+5 = 15
t = 15-5
t = 10
EXTRA POINTS MARKING BRAINLIEST!!!
ABCD is a parallelogram prove CDB=CAB and <ABD=<ABD
2x-5y+7z=6
x-3y+4z=3
3x-8y+11z=11
Find the lcm of 9 and 27
Answer:
The answer you are looking for is 27.
Step-by-step explanation:
The reason is because 27 is the 3rd multiple of 9.
Answer:
27
Because
[tex]9 = {3}^{2} \\ 27 = {3}^{3} \\ so. \: \: \: lcm = {3}^{3} = 27[/tex]
In a survey 25% of the people said they live in a city of 60 people said they live in a city how many people were surveyed
Step-by-step explanation:
You said:
'25% of the people = 60 people "
' 25% ' means 0.25
'of ' means ' times'
So people (0.25) x (the people) = 60
the people=60/0.25
the people=6000/25
the people=240
Answer:
Step-by-step explanation:
Let the number of people = x
25% of x = 60
[tex]\dfrac{25}{100}*x=60\\\\x=\dfrac{60*100}{25}\\\\x=60*4\\\\x= 240[/tex]
46. Order these numbers from least to greatest:
1/2, 0.4, 1/3, 1/5
Answer:
1/5, 1/3, 0.4, 1/2
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.33
1/2 = 0.5
Find the volume of a cone
4
6
pleaseeeeee help
Answer:
6 is the answer pls mark me branilest
Solve S = 2trh for h
Answer and Step-by-step explanation:
To solve for h, divide everything from both sides to get h by itself.
[tex]\frac{S}{2tr} =h[/tex] <- This is the answer.
#teamtrees #PAW (Plant And Water
Cupcakes Promotion All cupcakes at $2 each !
Buy 8 and get 1 free!
How many cupcakes will Fatimah get if she paid $80 during the promotion?
Answer:
45
Step-by-step explanation:
....................
Hey there! I'm happy to help!
We see that the cupcakes are $2, but for every 8 you buy you get 1 free.
So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.
Let's see how many times $16 goes into $80.
80/16=5
So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.
9*5=45
So, Fatimah will get 45 donuts during the promotion.
Have a wonderful day and keep on learning! :D
Find an equation of the line L that contains the points (0,0) and (5,3)
Y =
Answer:
y = (3/5)*x
Step-by-step explanation:
First, we can use the slope-intercept form of a line, or y=mx+b
To find the slope, m, we can find
(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have
(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5
Therefore, our equation is
y = (3/5)x + b
To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in
y = mx + b
0 = (3/5)*0 + b
0 = b
Our equation is therefore
y = (3/5)*x + 0
= (3/5)*x
What is 2 5/6 + 7/4
A. 2 2/5
B. 3 1/5
C. 3 4/5
D. 4 7/12
Answer:
D
Step-by-step explanation:
2 5/6=2 10/12
7/4=1 3/4= 1 9/12
2 10/12+1 9/12= 4 7/12
you can just change the denominators to the same which is 12. Hope you appreciate it!
Estimate 26 to the nearest tenth. Then locate 26 on a number line.
Answer:
30 is the nearest tenth of 26
Which equation should you solve to find X?
10
х
26
9
A. tan 26°
9
2
B. cos 26°
io
O C. cos 26°
9
10
D. sin 26°
10
N
Answer:
From SOHCAHTOA
Sine=Opp/Hyp
Sin26 = x/10
This is the appropriate eqn to solve this
OPTION D IS YOUR ANSWER!
You are taking hang-gliding lessons. The cost of the first lesson is one and a half times the cost of each additional lesson. You spend $260 for six lessons.
form simultaneous equations and solved using only one method.
In the two digit number the unit digit is thrice the tens digit if 36 is added to the number the digits interchange their place find the number
Answer:
4
Step-by-step explanation:
12x+36=10{2x}+x
=12x+36=21x
=21x-12x-36
=9x=36
=4
I need answers asap!!!!!!!
Step-by-step explanation:
with God everything is possible
explanation
because we go to church
one month, ruby worked 6 hours more than isaac, and svetlana worked 4 times as many hors as ruby. together they worked 114 hours. find the number of hours each person worked
Answer:
Ruby = 18+6=24
Isaac = 18
Svetlana = 4*18=72
24+18+72=114
Step-by-step explanation:
Ruby= x+6
Isaac= x
Svetlana = 4x
x+6+x+4x = 114
6x = 114 - 6
x = 108/6
X = 18
Which of the following expressions is correct?
|-37| = 37
-|37| = 37
|-37| = -37
-|-37| = 37
l-37l=37 is the correct answer.
Find the product of 3 square root 12 and 4 square root 12 in simplest form. Also, determine whether the result is rational or irrational
9514 1404 393
Answer:
144, rational
Step-by-step explanation:
The product is ...
(3√12)(4√12) = (3)(4)(√12)^2 = 12·12 = 144, a rational number
Given CH with C(2, 1) and H(-2,-15), find
the coordinates of E if E divides CH three
fourths of the way from C to H.
The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H
Midpoint of a line is a point that divides a line into two equal parts.
If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:
[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]
Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4
[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]
Get the coordinates Y:
[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]
This shows that the coordinate of E will be (1, -3)
Learn more here: https://brainly.com/question/3510899
correct ans will get brainlist pls help!!asap
Answer:
(a) 0.000000000503 (b) 800700000
Step-by-step explanation:
Hope this helps :)
Answer:
= 0.000000000503
Step-by-step explanation:
I assume it wants the answer as an ordinary number so its = 0.000000000503
Hope this helps!
. Point C is on line segment AB
so the ratio of AC to CB is 1 to
3. What are the coordinates of
Point ?
Answer:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
3AC=CB
CB
AC
=
3
1
Since, A(1,1) and B(2,3) & m:n=1:3
Therefore, we have
C(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(
1+3
(1)(2)+3(1)
,
1+3
(1)(3)+3(1)
)
C→(
4
5
,
2
3
).
calculate the gradient of the straight line that passes through G(-6,4) and H(2,-4)
Answer:
-1
Step-by-step explanation:
gradient = [tex]\frac{y1-y2}{x1-x2}[/tex]
= (4-(-4))/ (-6-2) = 8/-8 = -1
if the replacement set for the independent variable of the function f(x)=2x^2+1 is {2,4,6,10} what is the corresponding set for the dependent variable
9514 1404 393
Answer:
{9, 33, 73, 201}
Step-by-step explanation:
Put each of the values in place of the variable and do the arithmetic. For example, ...
f(10) = 2(10)² +1 = 201 . . . . . 201 is in the output set, corresponding to x=10.
__
I find repetitive calculations are done easily by a graphing calculator or spreadsheet.
The corresponding set for the dependent variable is {9, 33, 73, 201}.
Blake and Jordan bought the same type of candy bar. Blake ate 3/4 of his candy bar and Jordan ate 5/8 of his. How much more of a candy bar did Blake eat than Jordan?
Answer:
The answer would be 3/4 > 5/8
Giving brainly for correct answers
Answer:
C
Step-by-step explanation:
Integers are only positive and negative numbers:)
also 0
fractions are not integers
Answer:
1/2
Step-by-step explanation:
c is the correct answer
In the expression 2ab + b - 3b2 + 4, the coefficient of b is:
Answer:
coefficient of b
there are 3 b's in this expression so there will be 3 coefficient
in 2ab it will be 2a
in b it will be 1
in -3b2 it will be -3
ccc
so the coefficients are 2a , 1, -3
The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 13 vans and 6 buses with 278 students. High School B rented and filled 10 vans and 12 buses with 428 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
8 students in van, 29 students in bus
Step-by-step explanation:
To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.
High School A: 13x+6y=278
High School B: 10x+12y=428
Let's use elimination method to solve. We would multiply the first equation by 2.
26x+12y=556
10x+12y=428
Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.
26x+12y=556
-(10x+12y=428)
16x=128
With 16x=128 left, we can just solve for x.
16x=128 [divide both sides by 16]
x=8
Now that we have x=8, we can plug that into the equations above to find y.
13(8)+6y=278 [multiply]
104+6y=278 [subtract both sides by 104]
6y=174 [divide both sides by 6]
y=29
With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.
Step-by-step explanation:
Let,
No. of students in vans = x
No. of students in bus = y
In case 1
13x + 6y = 278(1)
In case 2
10x + 12y = 428(2)
On multiplying eq. 1 by 2
2(13x + 6y) = 2(278)
26x + 12y = 556 (3)
On subtracting 2 and 3
26x + 12y - (10x + 12y) = 556 - 428
26x + 12y - 10x - 12y = 128
16x = 128
x = 128/16
x = 8
From 1
13(8) + 6y = 278
104 + 6y = 278
6y = 278 - 104
6y = 174
y = 174/6
y = 29
ommunity Wellness Complex is being built in Del Rio. The perimeter of the rectangular playing field is 366 yards. The length of the field is 5 yards less than triple the width. What are the dimensions of the playing
his yards.
ath is yards
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto 2(x+3x-5)=366[/tex]
[tex]\\ \rm\longmapsto 2(4x-5)=366[/tex]
[tex]\\ \rm\longmapsto 4x-5=\dfrac{366}{2}[/tex]
[tex]\\ \rm\longmapsto 4x-5=183[/tex]
[tex]\\ \rm\longmapsto 4x=183+5[/tex]
[tex]\\ \rm\longmapsto 4x=188[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{188}{4}[/tex]
[tex]\\ \rm\longmapsto x=47[/tex]
[tex]\\ \rm\longmapsto 3x-5=3(47)-5=141-5=146[/tex]
In which step did Rob make a mistake?
Step 1: = 6 + 4 x 3 -10/5
Step 2: = 10 x 3 - 10/5
Step 3: = 30 - 10/5
Step 4: =20/5
Step 5: 4
Question 1 options:
Step 1
Step 2
Step 3
Step 4
Step 5
HELPPPPP!!!!!!!!!!!!!!!!!!!
Pls help a couple more questions left pls.
Answer: Amir Is Right
Step-by-step explanation: 4 seconds and it made 8 clicks
4/8 is 2 and the check if its right you can do 2x4 to get the clicks that were made in 4 seconds.
Answer:
Amir is correct.
Step-by-step explanation:
To find the cps (clicks per second), divide the clicks by the number of seconds.
[tex]\frac{8 clicks}{4 seconds}[/tex]
Simplify the fraction.
[tex]\frac{2 clicks}{1 seconds}[/tex]
Since 2 over 1 is really just 2 and the line of the fraction can be read as "per", we could re-write the above fraction in words as:
2 clicks per second
Therefor, Amir is correct.