Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho
Answer:
200
Step-by-step explanation:
C
order these numbers from from least to greatest
27 3/9 1/5 1.23 75%
Answer:
I don't know...jkkk
Step-by-step explanation:
First put the fractions and percents as decimals
27, 0.5,0.2, 1.23, 0.75
Now you can easily order them from LEAST to GREATEST
0.2,0.5,0.75,1.23,27
Hope this helps! :)
how many times can 23 go into 26
Answer: 1.13043478 times
Step-by-step explanation:
Solve l5+2xl < 17
(I couldnt find the brackets soo, yea. THANKS!)
Answer:
X<6
Step-by-step explanation:
Subtract 5 to the other side, so 2x is by itself. 2x<17-5, which is reduced to 2x<12. Divide by 2 so x is by itself. x<6.
Answer:
-11 < x < 6
Step-by-step explanation:
You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?
Answer:
$892.50
Step-by-step explanation:
Solve the inequality.
n−4<5
The solution is
.
Answer:
Step-by-step explanation:
n - 4 < 5
n < 9
A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail
cars in cars per hour?
O A. 31 cars per hour
O B. 33 cars per hour
O C. 32 cars per hour
O D. 30 cars per hour
simplify: -7 - 8
Change 1 6/7 to a decimal round to the nearest tenth.
Answer:
-15
1.9
Step-by-step explanation:
-7 - 8 = -15
1 and 6/7 = 1.857142857142857142857142.....
about 1.9
Solve for x:
3x – 2 (5 – x) = 30
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.
Samuel scored a 32.5/40 on his most recent math test what percent did he earn in the test round to the nearest whole percent
Answer: 81%
Step-by-step explanation:
From the question, we are informed that Samuel scored a 32.5/40 on his most recent math test.
Based on the values given, to convert it to percentage, we have to multiply the score by 100. This will be:
= 32.5/40 × 100
= 3250/40
= 81.25%
= 81% to nearest whole number
What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1
Answer:
X = 7
Step-by-step explanation:
Please mark brainliest.
Answer:
[tex]\huge\boxed{\sf x = -2}[/tex]
Step-by-step explanation:
4x - 2y = 5 -------------------------------(1)
y = 3x - 1 ----------------------------------(2)
Put Eq. (2) in (1)
4x - 2(3x-1) = 5
4x - 6x + 1 = 5
-2x + 1 = 5
Subtracting 1 to both sides
-2x = 5 - 1
-2x = 4
Dividing both sides by -2
x = 4 / -2
x = -2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807just get 10 points get some points have fun use them wizely
Answer:
thank you
Step-by-step explanation:
Pls helppppppppp!!!!!!’
Answer:
it c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.
Answer:
x = -30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
Step 2: Solve for x
Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms: -0.1x + 2 = 0.2x + 11Add 0.1x on both sides: 2 = 0.3x + 11Isolate x term: -9 = 0.3xIsolate x: -30 = xRewrite: x = -30Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2Multiply: -22 + 27 = -7.2 + 12.2Add: 5 = 5Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
According to the table below how many cookies can be made with 1 cup of chocolate chips?
A. 3
B. 2
C. 5
D. 4
PLEASEE HELP!!!!!!!!!!!!!!!
a speck of dust is 1.5 × 10 ^6 m wide. which of the following is the best way to rewrite this quantity, using more appropriate units?
Answer:
A
Step-by-step explanation:
the speck of dust is very small,
using the smallest unit out of all the choices, mm, is the best way to rewrite it
choice A
A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the lender. Simply your answer.
Answer:
The minimum monthly income required by the lender is $5214.30
Step-by-step explanation:
Here, we want to calculate the minimum monthly income required by the lender
From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income
So in this case, let the monthly income be x
So therefore;
28% of x = 1460
Thus;
28/100 * x = 1460
28x = 100 * 1460
x = (100 * 1460)/28
x = 5214.30
someone please help me with this work
Answer:
-34degrees
Step-by-step explanation:
Which graph represents the function f(x) =-x|–2?
Answer:
C.
Step-by-step explanation:
Which of the following system of inequalities is the graph below?
HELP ME PLEASE !!!
Answer:
2nd answer choice
Step-by-step explanation:
First, you see which inequalities are represented in the graph. When doing this, I just temporarily the signs to equal signs so just basically ignore the inequalities. Then, when you find the ones with the right numbers, you can worry about the inequalities. Remember that greater than is always the side where the y values increase and less than is always where the numbers on the y axis decrease. Also, pay attention to the equal than sign. If it has a line under the sign, the line has to be solid while if there is no line, then it is dashed. In this problem, The first equation represents the dashed line and the second is the solid line.
An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
percentage by volume composition of sulfuric acid?
A. 15 %
B. 20%
C.25%
D.30%
Solve for k
Please help!
Answer:
k = 0.3
Step-by-step explanation:
Multiply both sides by 2 * k
3 = 5 * 2*k Combine like terms on the right
3 = 10 * k Divide by 10
k = 3/10
k = 0.3
Which house and decorations is better
Answer:
The First house, also has a bigger bed! :)
Step-by-step explanation:
Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me
Step-by-step explanation:
Hi! Please help me solve this:
How did the temperature change if:
at first it decreased by 10% and then by 30%?
(I need the percent value)
Answer
by 20%????
Step-by-step explanation:
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?
Answer:
21
Step-by-step explanation:
15 divided by 5 is 3
7 times 3 = 21
Answer - There are 21 chocolate chip cookies.
Write the power set of the set A={a,b,c}
Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
[tex]2^n[/tex] ➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
[tex]2^3=8[/tex]
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Stacy's Weekly salary is $1516.52 what is her annual salary?
Answer:
Does she get paid once every week?
Step-by-step explanation:
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20.?
Step-by-step explanation:
Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.
The total no of cabinets are 100
Equation will be : x+y = 110
We can write it as : y = 110-x ...(1)
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.
Equation will be : y = 2x + 20 ...(2)
Put the value of y from equation (1) into equation (2).
110-x = 2x + 20
Combining like terms,
110-20 = 2x+x
90 = 3x
x = 30
Put the value of x in equation (1) :
y = 110-30
y = 80
Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.