Answer: The required number is 70.4.
Step-by-step explanation: We are given to find the number of which 31.68 is 45%.
Let x be the required number.
Then, according to the given information, we have
[tex]45\%\times x=31.68\\\\\Rightarrow \dfrac{45}{100}\times x=31.68\\\\\Rightarrow x=\dfrac{3168}{45}\\\\\Rightarrow x=70.4.[/tex]
Thus, the required number is 70.4.
what is the measure of jl
a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of fabric
suma liczb a = 3,6 do potęgi 7 * { 5/9} : 2 do potęgi 7 i b = 5 do potęgi 5 : {-22} do potęgi 5 * {2 1/5} wynosi A 1 B 31/32 C - 1/32 D -1
oblicz a] {2/3} do potęgi 4 * 6 do potęgi 4 + {-2 1/2} do potęgi 3 : {1/2}
b} 4,5 do potęgi 3 : {-1,5} do potęgi 3 - {0,01} do potęgi 2 * 80 do potęgi 2
c} 5 do potęgi 2 * {2 1/5} do potęgi 2 - {3 1/2} do potęgi 5 * {- 4/7} do potęgi 5
d} {-10,5} do potęgi 2 : 3,5 do potęgi 2 + 2,25 do potęgi 3 * 2 do potęgi 3
Answer:
what even is this???????????????
What is 45.99 pounds rounded to the nearest tenth of a pound
Justine draws a square with an area of 150 square centimeters. What is the approximate length, in centimeters, of one side of the square? -2 cm -11 cm -12 cm -13 cm
The approximate length is 12 centimeters, of one side of the square which is the correct answer would be an option (C).
What is the square?A square is a closed two-dimensional object with four equal-length sides and all interior angles of exactly 90 degrees.
The diagonal of the square is the distance between two vertices on opposing sides. A square has two diagonals of equal length.
We have been given that Justine draws a square with an area of 150 square centimeters.
The area of the square = (length of the side)²
150 square centimeters = (length of the side)²
Length of the side = √(150)
Length of the side = 12.24744
Rounded the nearest hundredth and we get
Length of the side = 12.24 centimeters
Therefore, the approximate length is 12 centimeters, of one side of the square.
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Graph this function:
y= 5x - 18
Find the GCF of 22ab 2 c 2 and 40a 3 c 2.
4a 3b 2c 2
2ab 2c 2
4ac 2
2ac 2
The Greatest Common Factor of 22ab2c2 and 40a3c2 is 2ac2, found by identifying the highest power of each variable and number that divides the coefficients 22 and 40.
Explanation:When finding the Greatest Common Factor (GCF) we need to look for the highest power of each variable and number that appears in all the terms. In the terms 22ab2c2 and 40a3c2, the GCF will consists of the highest power of each variable found in both terms, and the highest number that divides both 22 and 40.
To find the GCF you need to divide both 22 and 40 by common factor. The highest number that divides 22 and 40 is 2. For the variables, the lowest power of 'a' and 'c' in both terms is a and c2, respectively. 'b' is not in both terms, so we omit it. So, the GCF of 22ab2c2 and 40a3c2 is 2ac2.
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plz help!
The line segment is reflected about the y-axis to form A'B'. Which statement describes A'B'?
A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.
A'B' and AB are perpendicular.
What is the algebraic expression of the sum of 3 coins and c coins
Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?
two decreased by a half of a number is 1/2 of the number
How many two-digit positive integer less than 25 have the property that they are divisible by each of their digits? List themZ
What could be the intersection of plane PRS and plane QRS?
A.
RS
←
→
B.
PR
←
→
C.
QS
←
→
D.
The planes need not intersect.
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.
Write an inequality that represents the test scores of 60% of his students?
Answer:
[tex]70\leq x\leq 80[/tex]
Step-by-step explanation:
Let x represent the test scores of 60% of his students.
We have been given that Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.
We will use tolerance formula to solve our given problem.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
[tex]|x-75|\leq5[/tex]
Using rule [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:
[tex]-5\leq x-75\leq5[/tex]
[tex]-5+75\leq x-75+75\leq5+75[/tex]
[tex]70\leq x\leq 80[/tex]
Therefore, the inequality [tex]70\leq x\leq 80[/tex] represents the test scores of 60% of Mr. Venn's students.
How many 4-digit numbers can you write if you cannot use any other digits except 0, 1, and 2?
There are 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering that the first digit cannot be 0 and each position has a limited selection of digits.
Explanation:To determine the number of 4-digit numbers that can be written using only the digits 0, 1, and 2, we must take into account that a 4-digit number cannot start with 0, which leaves us two choices for the first digit (either 1 or 2). For the subsequent three digits, we have three choices each (0, 1, or 2). Therefore, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position.
The explanation you provided is correct, and the calculation is accurate. There are indeed 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering the given conditions.
To summarize:
- The first digit has 2 possible choices (1 or 2).
- Each of the next three digits has 3 choices (0, 1, or 2).
So, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position:
\[2 \times 3 \times 3 \times 3 = 54.\]
Therefore, there are 54 possible 4-digit numbers that can be created following the given conditions.
The first digit has 2 possible choices, and each of the other three positions has 3 choices, which gives us a total of:
2 × 3 × 3 × 3 = 54 possible 4-digit numbers using the digits 0, 1, and 2.
Weekly math review-Q1.6
The subject of this question is Mathematics, specifically involving basic algebra and arithmetic. Students are required to apply the math principles given in the example boxes throughout the chapter.
Explanation:The subject of this question is Mathematics. It involves basic algebra and arithmetic to solve mathematical problems and apply the principles given in the example boxes throughout the chapter. The question likely requires students to use their math skills to solve a specific problem or answer a mathematical question.
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What is −12÷23 ?
−36
−24
−18
−8
-12 / 23 = -0.52
so none of those are the correct answer.
if the 23 is suppose to be the fraction 2/3
then you have -12 / 2/3 which = -12 * 3/2 = -36/2 = -18
Answer:
hello your answer is -36
Step-by-step explanation:
1. 12 = 12/1 so we keep the first number then2. we change the division sign to times 3. flip the second number 2/3 is turned to 3/2 then multiply so 12/1 x 3/2 is 36/2 hope this helps have a nice day !
4/9x+1/5x=87 what is x
Answer:
The value of x is 135.
Step-by-step explanation:
Given : Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]
To find : What is the value of x?
Solution :
Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]
Take LCM,
[tex]\frac{4x\times 5+x\times 9}{9\times 5}=87[/tex]
[tex]\frac{20x+9x}{45}=87[/tex]
[tex]\frac{29x}{45}=87[/tex]
[tex]x=\frac{87\times 45}{29}[/tex]
[tex]x=135[/tex]
Therefore, The value of x is 135.
Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was Tia’s average rate on Sunday? A. 1600 meters per hour B. 1800 meters per hour C. 2000 meters per hour D. 2200 meters per hour
A.
3
B.
5
C.
15
D.
30
Answer:
1800
Step-by-step explanation:
the parabola y=x^2 is shifted up by 4 units
By rigid transformations, the image of the parabola y = x² is equal to parabola y = x² + 4.
How to determine the image of a parabola
In this problem, we need to determine the image of a parabola by means of a rigid transformation known as vertical translation:
y = f(x) → y = f(x) + k, where k represents a translation upwards and f(x) is the original function.
If we know that f(x) = x² and k = 4, then the image of the function is:
f(x) = x² + 4
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use the subtraction property of equality to complete the following statement if RS + St = RT then RS =
A school makes $715 from ticket sales for a school play. From the ticket sale, $448 is from adult tickets. Student tickets are $3 each. How many students attended the play?
John is calculating 6 % tax on an item in a store. He means to multiply the price of the item by 0.06, but he accidentally divides by 0.06. His answer is
a) correct
b) too small
c) too large
d) undefined
Please help me i need the answer!!
SIMPLE QUESTION PLEASE HELP :(
Solve for all roots of the equation. Show all work for full credit. x3 + 216 = 0
1.1 Factoring: x3-216
Theory:
A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check: 216 is the cube of 6
Check: x3 is the cube of x1
The solution to the equation x³ + 216 = 0 is x = -6, by subtracting 216 from both sides and taking the cube root.
Explanation:To solve the equation x³ + 216 = 0, you must first isolate the variable on one side of the equation. To do this, we can subtract 216 from both sides, giving us the equation x³ = -216.
Next, to solve for x, we need to take the cube root of -216. The cube root of -216 is -6, so x = -6 is the root of the equation.
In conclusion, the solution to the equation x³ + 216 = 0 is x = -6.
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Translate the phrase into a numerical expression of One hundred divided by the quantity three times five
Answer: A
Step-by-step explanation:
Which polygons are congruent?
Select each correct answer.
The required pairs of triangles in A and D are congruent triangles.
What are congruent triangles?Congruent triangles are two triangles that have the same shape and size. In other words, they are identical in every way, including their angles and side lengths. When two triangles are congruent, their corresponding sides and angles are equal.
Here,
Congruent triangles are important in geometry because they have many useful properties and can be used to solve a variety of problems. For example, if two triangles are congruent, then any corresponding parts (such as their altitudes, medians, or angle bisectors) will also be congruent. This can be helpful in finding missing side lengths or angles of a triangle.
Thus, from the above definitions Pairs of triangles in A and D are congruent triangles.
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how much longer is a 1inch button than a 3/8 inch button
In the year 2005, a total of 750 fish were introduced into a manmade lake. The fish population was expected to grow at a rate of 8.3% each year. What will the fish population be in 2050? Round to the nearest whole number. Enter your answer in the box.
what is the solution set to |2x-3|=7?
2x-3=7
add 3 to both sides
2x = 10
divide both sides by 2
x = 10/2
x = 5
since the equation is between 2 lines, which means absolute value x can be both positive and negative,
so the solution set is -5 and 5
Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?
A. $10.00 per hour
B. $11.00 per hour
C. $12.00 per hour
D. $13.00 per hour
Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?
A. 20
B. 21
C. 22
D. 23
Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?
A. 2
B. 3
C. 4
D. 5
Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?
A. 5
B. 6
C. 7
D. 8
Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?
A. 12
B. 13
C. 14
D. 15
Part a) Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?
Let
x--------> amount that Sam earned before the raise
we know that
[tex] (x+7) *5 =85 [/tex]
Solve for x
[tex] 5x+35 =85 [/tex]
[tex] 5x =85-35 [/tex]
[tex] 5x =50 [/tex]
[tex] x=10\ dollars\ per\ hour [/tex]
therefore
the answer Part a) is the option
A. $10.00 per hour
Part b) Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?
Let
x-------> the number of days
y-------> the total words Julia Knows
we know that
[tex] y=19+6x [/tex] ------> equation [tex] 1 [/tex]
For y=[tex] 145 [/tex]
Find the value of x
Substitute in the equation [tex] 1 [/tex] the value of y
[tex] 145=19+6x [/tex]
[tex] 6x=145-19 [/tex]
[tex] 6x=126 [/tex]
[tex] x=21\ days [/tex]
therefore
the answer Part b) is the option
B. 21
Part c) Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?
Let
x--------> the number of dogs that Claire walked last week per day
we know that
[tex] x=\frac{35}{5} -3\\\\ x=7-3\\\\x=4\ dogs\ per\ day [/tex]
therefore
the answer Part c) is the option
C. 4
Part d) Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?
Let
x--------> the number of months
y-------> amount in the bank account in dollars
we know that
[tex] y=45x+200 [/tex]
Find the value of x for y=[tex] 560 [/tex]
[tex] 560=45x+200 [/tex]
[tex] 45x=560-200 [/tex]
[tex] 45x=360 [/tex]
[tex] x=8\ days [/tex]
therefore
the answer part d) is the option
D. 8
Part e) Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?
Let
x------> the number of pencil
we know that
[tex] 6.91= 1.45+0.42x\\\\ 0.42x=6.91-1.45\\\\ 0.42x= 5.46\\\\ x= 13\ pencils [/tex]
therefore
the answer part e) is the option
B. 13