Answer:
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve for x 64^(4x)=16^(x+1)
64
4
x
=
16
x
+
1
Create equivalent expressions in the equation that all have equal bases.
4
3
(
4
x
)
=
4
2
(
x
+
1
)
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
3
(
4
x
)
=
2
(
x
+
1
)
Solve for
x
.
Tap for fewer steps...
Multiply
4
by
3
.
12
x
=
2
(
x
+
1
)
Simplify
2
(
x
+
1
)
.
Tap for fewer steps...
Apply the distributive property.
12
x
=
2
x
+
2
⋅
1
Multiply
2
by
1
.
12
x
=
2
x
+
2
Move all terms containing
x
to the left side of the equation.
Tap for fewer steps...
Subtract
2
x
from both sides of the equation.
12
x
−
2
x
=
2
Subtract
2
x
from
12
x
.
10
x
=
2
Divide each term by
10
and simplify.
Tap for fewer steps...
Divide each term in
10
x
=
2
by
10
.
10
x
10
=
2
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
10
x
10
=
2
10
Divide
x
by
1
.
x
=
2
10
Cancel the common factor of
2
and
10
.
Tap for fewer steps...
Factor
2
out of
2
.
x
=
2
(
1
)
10
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
10
.
x
=
2
⋅
1
2
⋅
5
Cancel the common factor.
x
=
2
⋅
1
2
⋅
5
Rewrite the expression.
x
=
1
5
The result can be shown in multiple forms.
Exact Form:
x
=
1
5
Decimal Form:
x
=
0.2
Edwin fills 15 test tubes with a solution. Each test tube contains 150 milliliters of solution.
How many liters of solution in all is there in the test tubes?
A.2.25 L
B.22.5 L
C.225 L
D.2,250 L
Step-by-step explanation:
do 150ml*15 tubes is 2,250 ml
2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)
There is 2.25 liter of solution in all tubes.
Edwin fills 15 test tubes.
Each test tube contains 150 millilitres of solution We have to find How many liters of solution in all is there in the test tubes
There are 15 tubes contain 150 milometers of solution
What is the condition for 15 tubes contain 150 milometers of solution?150ml × 15 tubes
Therefore we get,
[tex]150ml*15 tubes =2,250 ml[/tex]
we have convert 2250 ml into l
We know that
1L =1000ml
so divide 2250 by 1000 we will get,
[tex]2,250/1000 =2.25L[/tex]
Therefore there is 2.25 liter of solution in all tubes
To learn more about the unit conversion visit:
https://brainly.com/question/13016491
Can You Solve This?
6 = 2(1+2) =
Answer: 6 = 2(1+2), this is true.
Step-by-step explanation:
To solve this, 6 = 2(1 +2) =
This question is to proove that 2(1 +2) = 6
First we open the bracket:
(2 × 1) + (2 × 2)
Multiply 2 by 1 = 2
Multiply 2 by 2 = 4
2 + 4 = 6
I hope this helps.
Answer: hope this helps
6=2x3
6=6
Solve the equations. Show the solution sets on a number line. Check your answers. c 9k+3 =−4
Answer:
k = -7/9
Step-by-step explanation:
9k + 3 = -4
9k = -7
k = -7/9
On the number line just make a closed circle at -7/9. No line would be drawn, just the dot
-7/9 would be between 0 and -1, closer to -1
Answer:
k = -7/9
Step-by-step explanation:
If the equation is, 9k + 3 = -4, then;
9k =-4-3,
9k =-7,
k=-7/9
and on a number line just show a point with value -7/9, there is no inequality here
Find the values of the variables and the measures of the angles
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.
[tex]3x + 4x - 1 + 90 = 180.[/tex]
[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]
So x = 13°. The angles are
[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
3x + 4x - 1 = 90⁰
7x = 91
x = 13
Angles are = 39 , 51⁰
Which is greater 1 meter or 1 kilometer?
i need help
Answer:
1 kilometer
Step-by-step explanation:
1 kilometer = 1000 meters
Therefore, a kilometer is more than a meter.
Answer: 1 kilometer
Answer:1 km
Step-by-step explanation:
1km= 1000m
So 1000m >1m
Please help!! Will give Brainliest
Answer:
86 square inches
86 in^2
Step-by-step explanation:
Base: 3 × 10 = 30
Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)
Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)
Add: 30 + 50 + 6 = 86
4. Find the correct table for the given rule:
y=x+2
Answer:
Table B is the correct answer.
Step-by-step explanation:
Consider the two functions described below. Function 1 describes the cost, y, to park in a parking lot for x hours. There is a flat fee of $7.00 and $1.00 charge per hour. Function 2 is represented in the graph below. It shows the cost, y, to park in a parking garage, for x hours. Which statement correctly explains whether the parking lot or parking garage charges a higher rate per hour to park?
A. The parking lot charges a higher rate per hour because when you compare the rates, 7 4.
B. The parking garage charges a higher rate per hour because when you compare the rates, 2 1.
C. The parking lot charges a higher rate per hour because when you compare the rates, 7 2.
D. The parking garage charges a higher rate per hour because when you compare the rates, 4 1.
Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.
Step-by-step explanation:
Step 1:
For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.
So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,
If parked for two hours charges are 7 + 1 (2) = $9.
Step 2;
To understand the pricing of the parking garage, we must plot the points of the graph.
The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...
So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.
So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,
If parked for two hours charges are 4 + 2 (2) = $8.
Step 3:
Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.
Statement B and D are the same.
Answer:
B
Step-by-step explanation:
icated (Q#1-4).
2. Solve by substitution; x+3y + 4)
3x - 5y = 8
3 (3x+4)
aytla
Answer:
See explanation
Step-by-step explanation:
Assuming your system is:
[tex]x + 3y = 4[/tex]
[tex]3x - 5y = 8[/tex]
Then make x the subject in the first equation to get:
[tex]x = 4 - 3y[/tex]
Put this equation into the second equation to get:
[tex]3(4 - 3y) - 5y = 8[/tex]
[tex]12 - 9y - 5y = 8[/tex]
[tex] - 9y - 5y = 8 - 12[/tex]
[tex] -14y = - 4[/tex]
[tex]y = \frac{ - 4}{ - 14} = \frac{2}{7} [/tex]
This means that:
[tex]x = 4 - 3 \times \frac{2}{7} [/tex]
[tex]x = 4 - \frac{6}{7} = \frac{22}{7} [/tex]
On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.
If x is the point reached by A after t seconds, and y is the point reached by Bafter t seconds, express x and y in terms of t.
Answer:
[tex]x=st[/tex]
[tex]y=-5t[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
Let
s ----> the speed in units per second
d ---> the distance in units
t ---> is the time in seconds
BUG A
we have
[tex]d=18\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{18}{3}=6\ units/sec[/tex]
If x is the point reached by A after t seconds
then
Multiply the speed by the time
[tex]x=st[/tex]
[tex]x=6t[/tex]
BUG B
we have
[tex]d=-15\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{15}{3}=5\ units/sec[/tex]
If y is the point reached by B after t seconds
then
Multiply the speed by the time
[tex]y=st[/tex]
[tex]y=-5t[/tex] ----> is negative because B is moving in the negative direction
Answer:
x = 6t
y = 5t
Step-by-step explanation:
We know the distance formula:
D = RT
Where
D is distance
R is speed
T is time
Bug A went 18 units after 3 seconds, so the speed is:
18 = R(3)
R = 18/3
R = 6 unit/sec
Bug B went 15 units in 3 seconds, so the speed is:
15 = R(3)
R = 15/3
R = 5 units/sec
x is reached by A after 3 seconds, so
x = 6t
y is reached by B after 3 seconds, so
y = 5t
Help memory withmthiss
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Answer:
Sydney is 44 years old
Step-by-step explanation:
Step 1: Make a system of equations
d = s - 15
d + s = 73
Step 2: Plug in s - 15 for d in the second equation and solve
s - 15 + s = 73
2s - 15 = 73 + 15
2s / 2= 88 / 2
s = 44
Answer: Sydney is 44 years old
Answer:
Sydney is 44. I think, hope this helps!
What is the answer to x+4=4x-17
Answer:
x=7
Step-by-step explanation:
x+4=4x-17
4=3x-17
21=3x
x=7
Complete the statement. Round to the nearest hundredth if necessary. 13 km = _ mi?
Answer: 8.08
Step-by-step explanation:
Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.
Which answer is right?
A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts
Answer:
3 yards,5.25 yard,6.75 yards
Step-by-step explanation:
Given,
Each skirt required 3/4 yards fabric
Solution,
1 skirt required fabric =3/4 yards
4 skirts required fabric=4×3/4 yards=3 yards
7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards
9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards
To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.
Explanation:To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.
So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:
4 x 3/4 = 12/4 = 3 yards.
To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:
7 x 3/4 = 21/4 = 5.25 yards.
To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:
9 x 3/4 = 27/4 = 6.75 yards.
The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular fence. The radius of the tank is 6 feet and the walkway between the tank and the fence is 4 feet. How much fencing will they need to order to fence off the tank? Round to the nearest tenth>
Answer:
62.8 feet
Step-by-step explanation:
Radius of the fencing is:
6+4 = 10 feet
Circumference = 2×pi×r
= 2×pi×10
= 20pi
= 62.83185307 feet
29,22,22,17,33,32,27 (FIND THE MODE)
Answer:
22
Step-by-step explanation:
22 shows up twice and the rest of the numbers show up once.
Answer:22
Step-by-step explanation:
It appears most often.
What is the solution to
(2.4*10^11)/(1.2*10^9) using scientific notation
:
xfjgrtjsrjdtyj
erhergqerg3ergtaegqe
a rectangle has sides that measure 7 by 13 feet. If the sides are halved what is the new area?
Answer:
45.4
Step-by-step explanation:
Answer:
22.75 square feet
Step-by-step explanation:
If the length and width are halved, then:
7 ÷ 2 = 3.5
13 ÷ 2 = 6.5
A = L · W
3.5 · 6.5 = 22.75 square feet
~Hope this helps!~
PLEASE ANSWER
Which equation represents the following graph?
A. y = 2x + 3
B. y = 3x + 2
C. y = -2x + 3
D. y = -3x + 2
Answer:
A: y = 2x + 3
Step-by-step explanation:
y intercept: 3
Slope is positive
Only option A satisfies both of the above
how do you find side a to a right triangle using pythagorean theorem?
Answer:
a^2 = c^2 - b^2
Step-by-step explanation:
With the pythagorean therom you have a^2 + b^2 = c^2
Therefore a^2 = c^2 - b^2 you get this by subtracting b^2 from both sides
Once you have all the numbers you can just get the square root of them and youll have what a is
What is the 12th term of the geometric sequence
-4, -12, -36
Answer:
-708,588
Step-by-step explanation:
If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.
Fifteen less than twice a number x is y
Step-by-step explanation:
The Mathematical transformation of the given statement would be:
[tex]2x - 15 = y[/tex]
please help ty! I added extra points.
Hillary and Charlene both drove from City A to City B. At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h. Charlene drove at an average speed of 144 km/h and took 50 minutes. She arrived at City B at the same time as Hillary. Find the time Charlene left City A.
Solution:
Given that,
At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h
Charlene drove at an average speed of 144 km/h and took 50 minutes.
She arrived at City B at the same time as Hillary
Their distance is same
Find the ratio of speed
120 : 144
Reduce to lowest term
Hillary : charlne = 5 : 6
Find the ratio of time:
Since, speed and time are inversely propotional
Hillary : charlne = 6 : 5
Let time taken by Hiliary be 6t
Let time taken by charlene be 5t
Given that, Charlene took 50 minutes
Therefore,
5t = 50
t = 10
Thus,
time taken by Hiliary = 6t = 6(10) = 60
Thus hiliary took 60 minutes to reach
Find the time Charlene left City A
At 10 a.m., Hillary left City A
Difference between both their time = 60 - 50 = 10 minutes
Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m
Thus, Hillary left city A at 10: 10 AM
can someone please solve the problem is in the picture
Answer:
Y-intercept=6
Multiplier =3
Equation y=3x+6
Step-by-step explanation:
We can find the slope of the line by
Slope=m= (y2-y1)/(x2-x1)
m=(6-3)/(0-(-1))=3
And using point slope formula of equation of straight line
Y-Y1=m(X-X1)
Taking any point on line
Y-3=3(X-(-1))
Y-3=3X+3
y=3x+6
y=3(x+2)
A computer randomly selects a number from the given set 1, 2, 5, 10, 25, 30, 36 what is the probability that an even number is selected enter your answer as a fraction in simplest form in the box
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
In the figure shown, which pair of angles must be complementary?
Answer:
s and p
Step-by-step explanation:
s and p
there is a right angle side shown
so s and p are complementary
right angle triangle =90°
so angle √sqp
Answer:
PQT & SQT
Step-by-step explanation:
PQT and SQT
Because they should add up to 90
Find the quotient 130 ÷ –13.
A. –12
B. –9
C. –10
D. –5
Answer:
C)-10
Step-by-step explanation:
negative divided by negative is positive.
-130 / -13 =10
Answer:
Option C, -10
Step-by-step explanation:
130 / -13
13 goes into 130 ten times
-10
Answer: Option C, -10
Which formula is best used to prove that a figure has congruent sides?
a) Slope formula
b)Area formula
c) Midpoint formula
d) Distance formula
Answer:
D
Step-by-step explanation:
Congruent sides mean that they have "EQUAL" lengths.
So, to prove to sides are congruent means that their lengths are equal.
Slope gives the slope of a line. So this can't be it.
Area gives the area of figure. Nothing to do with congruency of 2 lines.
Midpoint formula gives the coordinates of the midpoint. Nothing here.
Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"
Correct answer is D