Answer:
/_ b = /_ e
2x + 31 = 7x - 24
5x = 55
x = 11
Step-by-step explanation:
Write 5^3 x √5 as a single power of 5
The expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
To write the given expression 5^3 x √5, as a single power of 5,
First, we will write the expression properly.
[tex]5^{3} \times \sqrt{5}[/tex]
Now, to write the above expression as a single power of 5,
First, express [tex]\sqrt{5}[/tex] in index form
By law of indices [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
∴ [tex]\sqrt{5} = 5^{\frac{1}{2} }[/tex]
Now, the expression becomes
[tex]5^{3} \times 5^{\frac{1}{2} }[/tex]
Also, by law of indices, [tex]x^{y} \times x^{z} = x^{y+z}[/tex]
∴ [tex]5^{3} \times 5^{\frac{1}{2} } = 5^{3+\frac{1}{2} }[/tex]
[tex]= 5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
Hence, the expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
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In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there
A) 20
B) 30
C) 18
D) 16
Answer:
C) 18
Step-by-step explanation:
so, if 8 over 6 is the same ratio as 4 over 3, and 24 divided by 6 is 4, you need to figure out 3*6, which is 18
the ratio of 24 to 18 is the same as 8 to 6
Answer:
C) 18
hope it helps
thank tou
The weekly demand for an item in a retail store follows a uniform distribution over the range of 50 to 100. What would be the weekly demand if its corresponding computer-generated value is 0.4?a. 60b. 70c. 75d. 80
Answer: 70
Step-by-step explanation:
Given that :
Uniform range of distribution = 50 to 100
50 ≤ x ≤ 100
Difference between both values = 100 - 50 = 50
Range / difference = computer generated value
(Weekly demand - lower limit) / difference = computer generated value
(Weekly demand - 50) / 50 = 0.4
Weekly demand - 50 = 20
Weekly demand = 20 + 50
Weekly demand = 70
The weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70
What is the property of a uniformly distributed random variable?A uniformly distributed random variable's probability is distributed uniformly in the interval in which it is defined. Thus, if X ranges from a to b, and pertains uniform distribution, then its probability density function is given by;
[tex]f(x) = \dfrac{1}{b-a}; a < x < b\\\\f(x) = 0; x < a , b < x[/tex]
For the given case, the weekly demand(let it be tracked by random variable X) is in range 50 to 100.
The computer generated value shows:
[tex]\text{Computer generated value} = \dfrac{\text{Weekly demand} - \text{Lower limit}}{\text{difference between upper and lower limit}}[/tex]
(computer generated value is showing in range 0 to 1, the part occupied by the weekly value from starting, here as it is 0.4, so it means out of 50 values, it is 0.4 = 40% of (100 -50) = 20 (from start which is 50, thus, 50 + 20 = 70) )
As we've got:
Thus, the weekly demand is obtained as:
[tex]0.4 = \dfrac{\text{Weekly demand} - 50}{50}\\\\\text{Weekly demand} = 0.4 \times 50 + 50 = 70[/tex]
Thus, the weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70
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Which figures have rotation symmetry
A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation. The right answer is D.
Rotational Symmetry: What Is It?A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation.
The number of alternative orientations in which an object can seem exactly the same for each revolution is the degree of rotational symmetry of that object.
Because of rotational symmetry, the figure should maintain its original appearance even when rotated. So a rhombus is the shape that exhibits rotational symmetry. So, D is the right answer.
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* All of the following can be a product of a nega- tive integer and a positive integer EXCEPT (A) -6 (B)1 (C)-1 (D)-2
Answer:
B
Step-by-step explanation:
The product of a negative integer and positive integer is always negative. A, C and D are negative; Only B is positive so it is NOT a negative integer. The word EXCEPT means it is asking for non-negative answers or answers that are positive
Answer:
B
Step-by-step explanation:
In 2006, a company had sales of $10 million. In 2011, sales were $12.5 million. Write a linear model that represents the company's sales as a function of the number of years since 2006. Use the model to predict the sales in 2021. Write the linear model in the Show Your Work window.
answer for brainleist ig
Find the difference: 25 kg 32 g - 23 kg 83 g
The difference of the weight is 1 kg 949 g.
How to find the difference of numbers?The weight of the two items to find the difference are as follows:
25 kg 32 g23 kg 83 gDifference in mathematics is the result of subtracting one number from another.
Therefore, let's convert the weight .
1000g = 1 kg
32 g =
cross multiply
weight = 32 / 1000
weight = 0.032 kg
1000g = 1 kg
83 g = ?
cross multiply
weight = 83 / 1000 = 0.083 kg
Therefore,
25 kg + 0.032 kg = 25.032 kg
23kg + 0.083 kg = 23.083 kg
Hence,
the difference of the weight = 25.032 kg - 23.083 kg
the difference of the weight = 1.949 kg
Hence,
the difference of the weight = 1 kg 949 g
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There are 640 students who attend Washington College Prep. 75% of the students play a sport. How many students at Washington College Prep play a sport? Draw a percent bar to show your answer.
Please answer this
Answer:
D
Step-by-step explanation:
The governor of state A earns $50,145 more than the governor of state B. If the total of their salaries is $295,595, find
the salaries of each.
Answers:
Governor of State A = $172,870
Governor of State B = $122,725
========================================
Work Shown:
A = B+50,145
A+B = 295,595
(B+50,145)+B = 295,595
2B+50,145 = 295,595
2B = 295,595-50,145
2B = 245,450
B = (245,450)/2
B = 122,725 ... salary for governor of state B
A = B+50,145
A = 122,725 + 50,145
A = 172,870 ..... salary for governor of state A
-------------
Check:
A+B = 172,870 + 122,725 = 295,595
So the answers are confirmed.
work out the value of 10 fourths
Answer:
10/4 equals 2 1/2 when simplified.
Step-by-step explanation:
10/4 = 2 2/4 or 2 1/2 when simplified.
This is because, 4 x 2 = 8, and 8 + 2 (or 1/2 of 4) = 10.
Hope this helps! :D
Which problem can be solved by dividing 3.5 divided by 5?
Answer:
3.5÷5
Step-by-step explanation:
It's asking what problem can be solved by doing 3.5 ÷ 5
the problem is 3.5 ÷ 5
Pleasee help ASAP I’m begging u plssss
Answer:
4 or -2 not really sure which
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −2 .
Step-by-step explanation:
You Welcome!
Happy Holidays❄️☃️
Can you please help with this
Answer:
4 m + 7
Step-by-step explanation:
Simplify the following:
4 (m - 2) + 15
4 (m - 2) = 4 m - 8:
(-8 + 4 m) + 15
Grouping like terms, -8 + 4 m + 15 = 4 m + (15 - 8):
4 m + (15 - 8)
-8 + 15 = 7:
Answer: 4 m + 7
Answer: Let's simplify step-by-step.
4(m−2)+15
Distribute:
=(4)(m)+(4)(−2)+15
=4m+−8+15
Combine Like Terms:
=4m+−8+15
=(4m)+(−8+15)
=4m+7
Answer:
=4m+7
Step-by-step explanation: I hope this helps.
Graph the solution set for the inequalíty
y> 2x-5 by following these steps:
Step 1: ldentify the slope and y-intercept.
slope = y-intercept =
Please help me
Answer:
Slope= 2
Y-intercept= -5
Step-by-step explanation:
This inequality is in slope-intercept form which means we can get both striaght from the inequaltiy. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this inequality m would be 2 and b would be -5, so those are your answers.
I will mark u the brainiest if you guys can help me plsss It is urgent
Lina and Morgan saved $2202 altogether. 1/4 of Lina's savings was $105 more than 1/5 of morgan's savings. How much was Lina's savings?
Answer:
486,732 I hope this helps
There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulation that the number of oak troos on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable A. There are 35 oak trees and 78 pine trees. The solution is viable. B. There are 35 oak trees and 78 pine trees. The solution is nonviable. C. There are 42 oak trees and 70 pine trees. The solution is nonviable D. There are 44 oak trees and 70 pine trees. The solution is viable
Answer:
c
Step-by-step explanation:
Answer:
There are 42 oak trees and 70 pine trees. The solution is nonviable.
Step-by-step explanation:
:)
4. Mrs. Dion decided to go out to dinner. She
spent $15.40 on her meal. She tipped the waiter
$4.25. How much did she pay all together?
Answer:
$19.65
Step-by-step explanation:
Adding decimals is the same as simple addition just line up the point in the numbers and add.
Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years
Answer:
666
Step-by-step explanation:
ggjgjg
Answer:
1500
Step-by-step explanation:
If you have 375$ in 6 months then that means you should have 750$ in 1 year. That also means you would have 1500$ in 2 years. Hope this helps.
There are an equal number of pennies, nickels, dimes, and quarters in a bag. What is the probability that the combined value of the four coins randomly selected with replacement will be $.41? express your answer as a fraction in the simplest form.
The probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32
In this question, there are an equal number of pennies, nickels, dimes, and quarters in a bag.
We need to find the probability that the combined value of the four coins randomly selected with replacement will be $.41
Out of 41 cents, 1 must be a penny.
And the remaining three (a nickel, dime, and a quarter) must add up to 40 cents.
The first coin must be penny so, its probability P1 = 1
The probability for the second coin would be,
P2 = 3/4
The probability for the third coin would be,
P3 = 2/4
P3 = 1/2
And the probability for the fourth coin would be,
P4 = 1/4
Since the events are independent, the resultant probability would be,
P = P1 × P2 × P3 × P4
P = 1 × 3/4 × 1/2 × 1/4
P = 3/16 × 1/2
P = 3/32
Therefore, the probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32
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which expression is equivalent to 18x12
Answer:
12x18
Step-by-step explanation:
Answer:
Hello, you do not give us any answers to choose from, but i can say that 18x12 is 216
Step-by-step explanation:
A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,
Answer:
A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
Step-by-step explanation:
We are given;
chance of rain next week on Monday is 50%. Thus;
P(rain next Monday) = 0.5
chance it rains on Tuesday is 80%. Thus;
P(rain next Tuesday) = 0.8
From independent events, we can say that;
P(A and B) = P(A) × P(B)
A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.
Thus;
P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4
This can also be written as 40%
Correct answer is option A since both events are independent
To find 1/8 ÷ 3/5 we use the reciprocal of?
Answer:
The reciprocal we use: [tex]\frac{5}{3}[/tex] ; Answer: [tex]\frac{5}{24}[/tex]
Step-by-step explanation:
The reason why we use this reciprocal is because we are dividing 3/5 from 1/8, so we have to use the reciprocal of the divisor instead. Next, we multiply the numerators and denominators and we get the product of 5/24 and since we cannot simplify further, this is the final answer.
Hope this helps! :D
Answer:
5/3
Step-by-step explanation:
A way I remembered how to divide fractions was stay (first fraction) change (division to multiplication) flip (the second fraction)
Graph a line with a slope of 4 that contains point (4,3)
Answer:
y-3= 4(x-4)
y-3= 4x-4
y=4x-4+3
y=4x-1
What are the two equations to set up to solve the equation |2x−3|=11
−2x−3=11 and 2x−3=−11−2x−3=11 and 2x−3=−11
2x+3=11 and 2x−3=−112x+3=11 and 2x−3=−11
2x−3=11 and 2x−3=−112x−3=11 and 2x−3=−11
2x+3=11 and 2x+3=−112x+3=11 and 2x+3=−11
Please find the value of gf(2)
Step-by-step explanation:
here is ur answer with perfect solution
Given g(x)=−x2+10x−3, find the following.
g(9)=
Question 14 options:
-174
-111
6
138
Answer:
g(9) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
g(x) = -x² + 10x - 3
g(9) is x = 9
Step 2: Evaluate
Substitute in x: g(9) = -(9)² + 10(9) - 3Exponents: g(9) = -(81) + 10(9) - 3Multiply: g(9) = -81 + 90 - 3Add: g(9) = 9 - 3Subtract: g(9) = 6At a community barbecue, Mrs. Walton and Mr. Buckley are buying dinner for their families.
Mrs. Walton purchases 5 hot dog meal and 2 hamburger meals, paying a total of $15.50.
Mr. Buckley buys 1 hot dog meal and 4 hamburger meals, spending $17.50 in all.
How much does a hot dog meal cost?
Answer:
Step-by-step explanation:
5ht dogs=1.50 each
2hamburger=4.00 each
equals15.50
1 ht dog=1.50
4hamburger=16.00
total equals 17.50
hot dog dinner =1.50
Helpppp pleaseeeeeee
Answer:
A.
positive and negative 5 and square root of 29
Write the slope-intercept form of an equation that passed through the given point and is: (a) parallel, (b) perpendicular, to the graph of the equation below (-4, -5); -4x+5y=-6
Answer:
-4x+5y=-4 and 5x+4y=-40.
Step-by-step explanation:
all the details are provided in the attachment.
Is this true? log(x) = logb(c) * log(x). For this question, first try several examples. Then prove it. See the proofs in the Basic Math lecture for ideas. (Hint: let
m = logb(x) and n=logb(c) and p = logc(x). Then use the definition of logarithms and rules of exponents to show m = np.
The logarithmic statement [tex]log_bx=log_bc \cdot log_cx[/tex] is true.
Logarithm is a mathematical operator that is used to simplify the exponential equations .
The logarithm is exponentiation's opposite function in mathematics. This indicates that the base b of another fixed number, the logarithm of a given number x, is the exponent that must be raised in order to obtain the given number x.
The exponential equation logₓy=n is equivalent to xⁿ=y.
The properties of Logarithmic equations are:
log x + log y = log xylog x-log y= log (x/y)log ₙn=1n log x = log xⁿ[tex]log_ab=\frac{log_xa}{log_xb}[/tex] , x≠0Now the given expression is of the form: [tex]log_bx=log_bc \cdot log_cx[/tex]
We know that [tex]log_bc=\frac{log_nc}{log_nb}[/tex] and [tex]log_cx=\frac{log_cx}{log_nc}[/tex]
let n=[tex]log_bc=\frac{log_nc}{log_nb}[/tex] and p=[tex]log_cx=\frac{log_cx}{log_nc}[/tex]
Now for the right side of the equation we have:
n×p
[tex]log_bc \cdot log_cx[/tex]
This can be written as:
[tex]or, \frac{log_nc}{log_nb}\cdot\frac{log_cx}{log_nc}\\or, \frac{log_cx}{log_nb}\\or, log_bx[/tex]
which is equivalent to the left side of the equation.
Hence the statement [tex]log_bx=log_bc \cdot log_cx[/tex] is true.
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