Answer:
Add the exponents and keep the same base Then find the reciprocal and change the sign of the exponent .
Step-by-step explanation:
Given the expression (2^3)(2^- 4), we will apply the law of indices below to solve the equation;
[tex]a^m \times a^n = a^{m+n}\\a^{-m} =\frac{1}{a^m}[/tex]
Applying this on the given expression;
[tex](2 ^ 3)(2 ^{-4})[/tex]
Step 1: Add the exponents and keep the same base as shown;
[tex]= (2 ^ 3)(2 ^{-4})\\\\= 2^{3+(-4)}\\\\ = 2^{3-4}\\\\= 2^{-1}[/tex]
Step 2: Find the reciprocal and change the sign of the exponent
[tex]= 2^{-1} \\= \frac{1}{2^1}\\= \frac{1}{2}[/tex]
Answer:
D
Step-by-step explanation:
Line segment has endpoints A(-4, -10) and B(-11, -7). To find the x-coordinate of the point that divides the directed line segment in a ratio, the formula was used to find that . What is the x-coordinate of the point that divides into a 3:4 ratio? -7 -5 -3 -1
Answer:
The x-coordinate is -7
Step-by-step explanation:
We can use the internal division formula to find this;
That will be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
we only need the x coordinates in this case
m = 3 and n = 4
x = 4(-4) + 3(-11)/(3 + 4)
x = (-16 -33)/7 = -49/7 = -7
Answer:
A. -7
Step-by-step explanation: hope this helps :)
At the beginning of the month, Kimberly had $65.78. Since then,she has received three payments of $32.50 from her babysitting job. Kimberlys 2 sisters each helped her babysit once during the month,so Kimberly paid them $8.75. If Kimberly did not spend any money, how much money does she have now
Answers:
she has $80.78.
Step-by-step explanation:
can you plz gelp me identify this triangle according to its size and angles
Answer:
It is equal angular, acute and equilateral
Step-by-step explanation:
The chess club members bought 6 tickets to a tournament for $15. How much would 1 ticket cost?
Answer:
$2.5 for 1 ticket
Step-by-step explanation:
Divide $15 by 6
The answer is 2.5
So it would cost $2.5 for just 1 ticket
Hope this helped :)
Answer:
$2.5
Step-by-step explanation:
Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.
Answer:
y=15
Step-by-step explanation:
y=kx
30= 8k
k=15/4
y=15/4×4
y=15
A una obra de teatro acudieron 420 personas y se recaudaron $48,000.00. Si el costo de la entrada de los adultos fue de $200 y el costo de la entrada de niños costaba $80. ¿Cuántos adultos y niños que acudieron?
Answer:
La respuesta es que acudieron 120 adultos y 300 niños.
Step-by-step explanation:
De acuerdo a la información proporcionada, puedes escribir las siguientes ecuaciones:
x+y=420 (1)
200x+80y=48,000 (2), donde:
x es el número de adultos
y es el número de niños
Primero, puedes despejar x en (1):
x=420-y (3)
Ahora, puedes reemplazar (3) en (2):
200(420-y)+80y=48,000
84,000-200y+80y=48,000
84,000-48,000=200y-80y
36,000=120y
y=36,000/120
y=300
Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:
x=420-y
x=420-300
x=120
De acuerdo a esto, la respuesta es que acudieron 120 adultos y 300 niños.
What is the value of x in the equation ? –6 –2 2 6
Answer:
the answer is 6
Step-by-step explanation:
i took the test
Answer:
The answer is D 6
Step-by-step explanation:
If the triangle were reflected across the x-axis, then translated four units to the left,
what would be the value of the x-coordinate of point B?
When the triangle is reflected across the x-axis, then point B would be (6, -6), but when it's also translated four units to the left, it will be (2, -6).
When you reflect something across an axis, then a point you recall will have the x or y value have the opposite sign (i.e. 6 would become -6 across the x-axis and vice versa).
When you translate something across the graph, you are adding to the x value when shifting to the right, subtracting from the x value when shifting to the left, adding to the y value when shifting upward, and subtracting from the y value when shifting downward.
∴, B = (2, -6).
It took Jaylon 27 minutes to run 3 miles. If he continued to run at the same rate, how far did he run in an hour
Answer:
6.66 miles
Step-by-step explanation:
Miles run in 27 minutes = 3 miles
Miles run in 1 minute = 3÷27 miles = [tex]\frac{1}{9}[/tex]
1 hour = 60 minutes
Therefore,
Miles run in 60 minutes = [tex]\frac{1}{9}[/tex] × 60
= [tex]\frac{20}{3}[/tex] miles OR 6.66 miles
if g(x)=2(x-4), find the value of x if g(x)=20
1) 32
2) 12
3) 14
4) 10
please HELP
Answer:
3) 14
Step-by-step explanation:
in the given equation replace the "g(x)" with the provided "20"
20=2(x-4) solve as usual
divide each side by 2
10=x-4
add 4 to each side
14=x
the value of x is 14
Please help me w the equation and please don’t take advantage of the points.
Answer:
y = 6x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 and given point (0, 4 ) ⇒ c = 4
y = 6x + 4 ← equation of line
Please help I will give you brainliest put the right answer.
Answer:
The answer is 104
Step-by-step explanation:
I’m guessing the shape is a triangle so if you have to angels you add them up and minus then from 180 what you get is your missing angle.
need help please answer
Answer:
123456789
Step-by-step explanation:
123456789123456789123456789123456789123456789123456789123456789123456789123456789123456788912345678912345678912345678912345678912345678 there is your answer
The value of y varies directly with x. When y = 75,x= 2. What is the value of y when
xis 2 1/4
Answer:
y = 337.5
Step-by-step explanation:
Given:
y = 75
x = 2
Solve:
Direct variation is y = kx
75 = k/2
k = 150
y = 150x
x = 2 1/4 or 2.25
y = 150(2.25)
y = 337.5 or 337 1/2
Use the Distributive Property to Factor the Expression
6b+ 6
Answer:
6(b+1)
Step-by-step explanation:
6(b+1)
see this and reply me
if cost price rs 50 and selling price =rs 80 is there a profit or loss find the value of profit or loss
will give brainliest!
hA class conducts a survey about types of movies. 53 girls and 48 boys reported comedy as their favorite. 23 girls and 62 boys reported horror as their favorite. Find the probability of a boy from this school selecting horror as his favorite type of movie
Answer:
101
Step-by-step explanation:
what i did was 53 + 48 i got 101 '
and now for 23 + 62 i got 83 so 83 < 101 i dont know what your looking for but this might help!
HELP ME PLEASE THIS IS FOR A GRADE AND THIS IS ALL I NEED!!!
Answer:
1. 12 bottles would cost $24.
2. The ratio is 1:2, 1 bottle to $2.
3. For each additional bottle of water I purchase, the price will go up by $2.
May I have brainliest please? :)
3х + 2y = 14
3х - 2y = 10
Answer:
(4, 1 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 14 → (1)
3x - 2y = 10 → (2)
Adding the 2 equations term by term, eliminates y , that is
6x = 24 ( divide both sides by 6 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
3(4) + 2y = 14
12 + 2y = 14 ( subtract 12 from both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (4, 1 )
1 2 3 4 5 6 7 8 9
Mark's dog ran
of a mile in
of an hour. Compute the unit rate from the complex fraction
AHAU
miles per hour.
es )
A)
2 miles per hour
B)
3 miles per hour
4 miles per hour
D
6 miles per hour
Answer:
c
Step-by-step explanation:
the dog will run 4miles per hour
4 avocados cost $0.76 At this rate, how much do 9 avocados cost?
Answer:
9 avocados cost $1.71
Step-by-step explanation:
3.195 rounded to the nearest hundredth
If the measurement of Angle 6 = 50 degrees, then the measurement of Angle 3 = 50 degrees
True or False
Answer:
True
Step-by-step explanation:
angle 3 and 6 are alternate angles.
alternate angles have the following characteristics:
1. they are inside the parallel lines
2. they are on opposite sides of the transversal
3. they are EQUAL
another example of alternate angles is angle 4 and angle 5
Answer:
True
Step-by-step explanation:
I took this in my class already
Help me what is the slope of the line
Answer:
3/2
Step-by-step explanation:
A theater has 20 seats per row each row is filled before the next row is used on Wednesday eight people are seated in the last row which option could be the total number of people seated in the theater on Wednesday
Answer:
448
Step-by-step explanation:
Write the ratio 7 : 4 in the form n : 1
7÷4 : 4÷4
1.75 : 1
or (off u round off 1.75)
2:1
pleaseee help me will mark brainliest
We are going to define two equations where b means bagels and m will be muffins, First equation: 10*b + 4*m = 13 Second equation: 5*b + 8*m = 14 From the second equation, we can isolate b: b = (14 - 8*m)/5 In the second equation 10*(14 - 8*m)/5 + 4*m = 13 2*(14 - 8*m) + 4*m = 13 28 - 16*m + 4*m = 13 28 -13 = 16*m - 4*m 15 = 12*m m = 15/12 = 1.25 Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8 So one bagel costs $0.8 and one muffin $1.25
Answer:
Muffins: $1.25
Bagels: $0.80
Step-by-step explanation:
I wrote down my work. Hope it helps and have a great day!
A ladder leaning against a wall makes an angle of 45 with the ground. If the length of the ladder is 20
Answer:
4.5
Step-by-step explanation:
Which point on the number line represents -3/4?
A
B
C
D
Pls answer
Answer:
B.
Step-by-step explanation:
-[tex]\frac{3}{4}[/tex] = -0.75
-0.75 is less than -0.5 but more than -1.
A shows -1.75.
B shows -0.75.
C shows -0.25.
D shows 0.75.
Note: Each mark is 0.25.
Greta uses 2 cups of pasta for every 2/3 cups of sauce. How much pasta does she use per cup of sauce?
Answer:
1/3 cup
Step-by-step explanation:
If 2 cups of pasta uses 2/3 than 1 cup is 1/3. This is making me hungry lol.