Answer:
x = -3
There is a base f 5 on the left side, so write the denominator on the right as a base of
5 as well.
5
x
=
1
125
5
x
=
1
5
3
Move the base to the numerator.
5
x
=
5
−
3
If the bases are equal, the indices are equal:
x
=
−
3
Answer:
The answer is 1/625
Step-by-step explanation:
The reason is because 5a = 1/125
Therefore, to find the value of "a" we need to divide!
So, a = 1/125 / 5
⇒ 1/125 × 1/5 ( Reciprocal when we divide )
⇒ 1/125 × 5
→ 1/625
I hope this answer helps!
A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.
How many seats are in the lower level?
How many seats are in the middle level?
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...
# of seats on the lower level = 3x - 50
# of seats on the lower level = 3(2502) - 50
# of seats on the lower level = 7456
Now we just make the equation for the number of seats on the middle level, and so we get...
# of seats on the middle level = 2x + 40
# of seats on the middle level = 2(2502) + 40
# of seats on the middle level = 5044
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
this is correct on edge 2021
Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number of watermelons loretta grew this year?
Answer:
[tex]54+\frac{5}{9}\times 54[/tex]
Step-by-step explanation:
We are given that
Loretta grew watermelons in her garden last year=54
We have to find the expression which shows the number of watermelons Loretta grew this year.
To find the expression which shows the number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .
According to question
5/9 of 54=[tex]\frac{5}{9}\times 54[/tex]
Therefore, the expression which shows the number of watermelons Loretta grew this year
=[tex]54+\frac{5}{9}\times 54[/tex]
Sally's pet store sells goldfish. The fish they sell, every goldfish needs 4 gallons of water in the tank. Frank's pet store sells goldfish as well. At Frank's every 4 fish need 3 gallons of water. If a customer has a 12 gallon tank, where should they buy the fish from?
Answer:
Frank's pet store
Step-by-step explanation:
Assuming they want the most fish with 12 gallons, lets see how many we can get from each place
Sally's. 12/4 = 3
3 goldfish
Franks. 12/3 = 4
4* 4 = 16.
Frank's place can get you more fish
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
Answer:
5 inches
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
you first divide 12 by 3 then multiply it by 2 to get 8
Find the L.C.M of 150,180and 240 leaving your answer as product of prime factors
Answer:
2^4·3²·5² = 3600
Step-by-step explanation:
Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]
Bob's car cost $2.99 per pound. how much will 3.4 pounds cost?
Answer:
10.166
Step-by-step explanation:
2.99 x 3.4 = 10.166
Hope this helps, have a great day!
Jenny spends 3 hours each week practicing soccer and 5 hours each week practicing piano. Write the ratio of hours spent practicing soccer to hours spent practicing piano.
3 hours of soccer to 5 hours of piano
It would be written as 3:5
Answer:
3:5 or 3/5
Step-by-step explanation:
hey! please help on this question i'll give brainliest <333 .
Answer:
9 1/6
Step-by-step explanation:
=(35×3)+(10×6)6×3
=165/18
Simplifying 165/18, the answer is
=9 1/6
1 x=5
2x + y = 10
Substitution
Answer:
Y = 0
Step-by-step explanation:
If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0
y=xe^x how do you find the domain of the following function
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."
__
The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.
Simplyfy ( 7x-6)²+(7x+3)²
Answer:
98x^2-42x+45
Step-by-step explanation:
need help solving this problem down below.
Answer:
1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²
2 / Find the area of an isosceles Δ DEF:
The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft
So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²
3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²
Step-by-step explanation:
Find the logarithms of the following numbers to the base 1/3: 1
Answer:
6.644
Step-by-step explanation:
Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16
Answer:
(-4, -8)
Step-by-step explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓
Find the side of cube whose total surface area is 486 sq.cm
Answer:
9 cm
Step-by-step explanation:
The cube has 6 square faces.
Divide surface area by 6 to find area of 1 face
area = 486 ÷ 6 = 81 cm²
The area of a square = s² ( s is the side length ) , then
s² = 81 ( take the square root of both sides )
s = [tex]\sqrt{81}[/tex] = 9 cm
Donna is saving money to buy a game. The game costs $30, and so far she has saved three-fifths of this cost. How much money has Donna saved?
Answer:
30*3/5=90/5=$18
Step-by-step explanation:
This is area of shaded region and i don't know what to do pls help
Answer:
342
Step-by-step explanation:
18×25=450
9×12=108
450-108=342
Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3
Answer:
Step-by-step explanation:
x³y² = x * x * x * y * y
x²y³ = x * x * y *y * y
GCF = x * x * y * y = x²y²
x³y² - x²y³ = x²y² ( x - y)
Write the equation of the table below.
X Y
0 1
1 4
2 7
4 13
5 16
Answer:
y= 3+x
Step-by-step explanation:
Answer:
y= 3+x
Explanation:
my number is the largest 2 digit number that is a multipull of both 4 and 3
Answer:
96.
Step-by-step explanation:
4*4*3 = 48
2 * 48
= 96
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Complete the statement with , or =.
5/5 ___ 1
Answer:
=
Step-by-step explanation:
Answer:
5/5=1
Step-by-step explanation:
Wyoming has 5.49 people per square mile and is 97,100 square miles. New York has 412.81 people per square mile and is 47,214 square miles. Use the size of Wyoming and the pollination density to approximate the population of Wyoming
Answer: 533,079 people
Step-by-step explanation:
Population density shows the concentration of people in an area. It is calculated by dividing the number of people in the area by the size of the area.
Population density = Number of people in area / Size of area
5.49 = Population / 97,100
Population = 5.49 * 97,100
= 533,079 people
) Write an expression that is equivalent to -4(3x – 7).
-4(3x - 7) =
Answer:
-12x+28
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
Answer:
-12x - 7.
Step-by-step explanation:
Hope this helps!
please i need help again
Answer:
8^2*(2+6)/4= 64*8/4 = 512/4 =128
Answer:
128
Step-by-step explanation:
First add 2+6 because it's in parenthesis
Second, square 8 and get 64
third, multiply 64 times 8
last divide 64 times 8 (which is 512) by 4
USE PEMDAS OR GEMS TO DECIDE THE ORDER
GEMS:
G- groups (parenthesis)
E- exponents
M- multiplication and division (go in order of what comes first in equation)
S- subtraction and addition (go in order of what comes first in equation)
Joris pays 8% sales tax on a backpack that costs 68 dollars. How much does the sales tax add to the purchase price?helpppppp
Answer:
$5.44
Step-by-step explanation:
Can someone please help me with this
Answer:
D
Step-by-step explanation:
A has the rate of change of 3
B has the rate of change of 5
C has the rate of change of 9
D has the rate of change of 20
Find UV.
v
2
T
270
U
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answer:
UV = 3.9
Step-by-step explanation:
Here, we want to find the value of UV
From the question, we can see a right-triangle
2 faces the angle given and is thus the opposite side
UV represents the adjacent side
mathematically, the trigonometric ratio that relates the opposite to the adjacent is the tangent
It is the ratio of the opposite to the adjacent
Tan 27 = 2/UV
UV = 2/tan 27
UV = 3.9
A football team has a net yardage of -34 1/3 yards on a series of plays. The team needs a net yardage of 20 yards to get a first down. How many yards do they have to get on their next play to get first down?
Answer:
54 1/3 yards
Step-by-step explanation:
Yards needed = Required net yards - Yards already ran
We know that Required net yards = 20
We can set yards already ran to -34 1/3
Yards needed = (20) - (-34 1/3)
= 20 + 34 1/3 Subtracting a negative makes it a +
= 54 1/3
They have to get 54 1/3 yards on their next play to get a first down