Answer:
120 free throw attempts
Step-by-step explanation:
[tex]95\%=0.95[/tex]
[tex]0.95x=114[/tex]
[tex]x=\frac{114}{0.95}[/tex]
[tex]x=120[/tex]
there is a number written on the board. one student increased the number by 12. another student multiplied the number written on the board by 3. the first student's result is 2 greater than the second student's result. what is the number written on the board?
From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.
As given in the question,
Let x be the number written on the board.
First student increased the number on board by 12 = x +12
Second student multiply the number on board by 3 = 3x
Required equation as per given condition is:
x +12 = 3x + 2
⇒ 3x -x = 12 -2
⇒ 2x = 10
⇒ x = 10/2
⇒ x= 5
Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.
Learn more about increased here
brainly.com/question/6840659
#SPJ1
will give u brainliest
Answer:
224 in²
Step-by-step explanation:
The formula for the area of a triangle is 0.5bh, where b is the base and h is the height. Here the base is '4t' and the height is '7t'. Subbing in 4 for t, we get
Base = 4(4) = 16
Height = 7(4) = 28
Subbing this values into our formula for the area of a triangle, and we have:
Area = 0.5(16)(28) = 224 in²
The rectangle below has an area of y² + 8xy + 7a² square meters and a length of y + x
meters.
What expression represents the width of the rectangle?
The width of a rectangle is (7x+y) meters.
What is the area of a rectangle?
A flat surface of a specific shape can be thought of as the area it occupies in space. In terms of the "number of" square units, it is measured (square centimeters, square inches, square feet, etc.) The number of unit squares that can fit inside a rectangle is the area of that shape. The flat surfaces of laptop monitors, chalkboards, canvases, and other objects are a few instances of rectangular shapes.
Area of the rectangle is = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex]) square meter
length of the rectangle is = (x+y) meters
we know, the area of the rectangle= length×width
So, the width of the rectangle = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex])/(x+y) meters
=(7x+y)(x+y)/(x+y) meters
=(7x+y) meters
Hence, The width of a rectangle is (7x+y) meters.
to learn more about the area of the rectangle from the given link
https://brainly.com/question/25292087
#SPJ13
The population of Minnesota in thousands, t years since 2000 can be represented by P=37t+4934. (T,P)=
A) Determine the P-intercept and explain its meaning in terms of the problem. (T,P) =
B) Determine the t-intercept and explain its meaning in terms of the problem. (T,P)
Answer A ; 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.
Answer B ; T-intercept is -4934/37, or approximately -133. This indicates that Minnesota had a population of 2000–133 in 1867.
Answer A : P=37t+4934 can be used to represent Minnesota's population in thousands over the t years after 2000.
P-intercept is the P value at time t=0.
P=37*0+4934\sP=0+4934\sP=4934
So, 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.
Answer (B) : The term "t-intercept" refers to the value of the function t when P=0 0=37t+4934 -4934=37t divide by 37 -4934/37=t -133.351351351 = t
Hence T-intercept is -4934/37, or approximately -133. This indicates that Minnesota had a population of 2000–133 in 1867.
P=37t+4934 P-intercept means the value of P at t=0 P=37*0+4934 P=0+4934 P=4934
Given that Minnesota's population in thousands, t years since 2000, it can be expressed by the equation:
So, 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.
To know more about functions or related problems visit:
https://brainly.com/question/17597708
#SPJ13
I've been stuck on this problem for awile can anyone help?
7z-4=12+3z
Answer:
z = 4
Step-by-step explanation:
7z - 4 = 12 + 3z
1) We want to first move the z values to one side of the equation. This means we would subtract 3z from both sides to move it to the left side. This would give us 4z - 4 = 12.
2) We then want to isolate the z value. This means we want to move the -4 to the right side. We would add 4 to both sides and get 4z = 16.
3) We can then divide both sides by 4 and get the value for z.
This gives us z = 4.
Simplify. 5-[-(-2)]
Answer:
3
Step-by-step explanation:
Use the properties of logarithms to rewrite the following expression as a single logarithm. Please see attached pic.
Answer:
log4 (70)
Step-by-step explanation:
log4(7) + log4(10) = log4(7 * 10 ) = log4(70)
Which expressions are equivalent to 4n+5?
Select two correct answers.
5n+4
4n+20
1/4(16n+20)
4+n+5
5+4n
Comparing Marbles:
Red balloons float purple marbles at a ratio of 12: 4.
Red balloons float green marbles at a ratio of 15: 6.
Which is heavier: a purple marble or a green marble?
The marble that is heavier based on the ratio is purple marble.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.
Red balloons float purple marbles at a ratio of 12: 4. This will be:
= 12/4
= 3
Red balloons float green marbles at a ratio of 15: 6. This will be:
= 15/6
= 2.5
In this case, the purple marble is heavier as 3 is more than 2.5.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
What numbers are elements? -7, -4, 2, 14, 21, 34, 42
The answer is [14, 42].
The number 14 is even.
7 x 2 = 14
An even number, 42.
7 x 6 = 42
Find out more about set elements :
https://brainly.com/question/11154749
Please help me complete this flowchart proof. The correct answer gets brainiest
The flowchart that is used to prove GR ║ F_K is presented as follows;
∠RND and ∠FDP are supplementary ⇒ ∠RND + ∠FDP = 180°
Given [tex]{}[/tex] Definition of supplementary
∠KDN ≅ ∠FDP [tex]{}[/tex] ⇒ ∠KDN = ∠FDP
Vertical angles are congruent[tex]{}[/tex] Definition of congruent angles
∠RND and ∠KDN are same side interior angles [tex]{}[/tex] ⇒∠RND + ∠KDN = 180°
Definition of same side interior angles[tex]{}[/tex] Substitution property
[tex]{}[/tex] GR ║ F_K
Same side interior angles formed between parallel lines that have a common transversal are supplementaryWhat are the relationships between the angles formed between parallel lines that have a common transversal?The relationships between the angles formed by a transversal and two parallel lines are;
Corresponding angles are congruentSame side interior angles are supplementaryLinear pair angles are supplementaryVertical angles are congruentAlternate interior angles are congruentAlternate exterior angles are congruentDefinition of congruency;
Two lines, shape or figure are said to be congruent if they have the same size and shape.
Supplementary angles;
Supplementary angles are angles that have a sum of 180°
Substitution property of equality
The substitution property sates that if an expression a = b, then the expression b can replace a in any equation and the equation will remain valid.
Learn more about the angles formed between parallel lines that have a common transversal here:
https://brainly.com/question/7134800
#SPJ1
At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.
Answer:
yes
Step-by-step explanation:
Given that f(x)=x+4 and g (x)=3x/x+1 (1) determine the value of f(9)
The value of f(9) is 13
The function f(x) = x + 4
The function g(x) = 3x / x+1
The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input and output.
The function
f(x) = x + 4
We have to find the value of f(9)
We have to substitute the value of x = 9 in the function
f(9) = 9 + 4
Add the terms
f(9) = 13
Hence, the value of f(9) is 13
Learn more about function here
https://brainly.com/question/20534410
#SPJ9
High-fiber foods have at least 5 g of fiber per serving. Let f be the
Number of grams of fiber per serving of high-fiber food. Which inequality
Describes this situation?
A.) f > 5
B.) f < 5
C.) f ≤ 5
D.) f≥ 5
A.
B.
C.
D.
The inequality that describes this situation is f ≥ 5
How to calculate the inequality ?
Use the steps below to solve an inequality:
Step 1: Subtract all fractions by multiplying each term by the sum of all fractions' least common denominators.
Step 2: Simplify the inequality by merging like terms on each side.
Step 3: Add or subtract amounts to get the unknown and the numbers on either side.
As per the question it tells the High- fiber should have at least 5g of fiber per serving
f = Number of grams of fiber per serving of high-fiber food
∴ f ≥ 5
To learn more about calculating the inequality from the given link
https://brainly.com/question/24372553
#SPJ1
John bought a pair of jeans on sale for $10 off. The original price of the jeans was $45. What was the sale price of the jeans?
Answer:
$35
Step-by-step explanation:
All you have to do is subtract 10 from 45 because it was $10 off and the original price was $45.
Do I need to apply the chain rule when I derive [ln(g(x))]^2?
To solve the given derivative we need to apply the chain rule.
Given that, [ln(g(x))]².
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
The chain rule is a formula that expresses the derivative of the composition of two differentiable functions [tex]f[/tex] and [tex]g[/tex] in terms of the derivatives of [tex]f[/tex] and [tex]g[/tex].
Find the derivative using the chain and power rules.
ln(g²x²)/x
Therefore, to solve the given derivative we need to apply the chain rule.
To learn more about the differentiation of an equations visit:
https://brainly.com/question/25731911.
#SPJ1
Zack and his friends went to a movie on Thursday afternoon. It took 25 minutes to drive to the theater. They arrived at the theater 1 hour and 15 minutes before the movie started. Once it started, the movie lasted for 1 hour and 20 minutes and ended at 4:20 P.M. What time did Zack and his friends leave for the movies
Answer:
2:20
Step-by-step explanation:
The movie started at 3:00 PM they got there at 2:45. and it took them 25 mins to get there meaning they left at 2:20.
8) I bought 4 baseball cards for y dollars each and 3 card holders for $2.50
each. I paid a total of $19.50. What is the cost per baseball card?
PROVE IT!! SHOW YOUR WORK!!!!!
A) $3 B) $4 C) $5.50 D) $6
Answer:
$3
Step-by-step explanation:
Total of all = $19.50
3 Card holders total = $7.50
4 Baseball card total = ?
We know that 19.50 is the sum of the holders and cards together so we subtract $7.50 from $ 19.50.
$19.50-$7.50=$12 for ALL four baseball cards
We know that 4 baseball cards are $12, but if we DIVIDE 12 by four, we get the individual price per card.
12/4 = $3
HELPP PLEASE IM ACTUALLY STUCK???
Answer:
[tex]d=-8[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]258[/tex] and the second term is [tex]250[/tex], then each successive term in the sequence is [tex]8[/tex] less than the previous term. Therefore, the common difference is [tex]-8[/tex] ( [tex]d=-8[/tex] ).
The formula representing the arithmetic sequence is:
[tex]a_n=-8n+266[/tex]
Therefore:
Term 1: [tex]a_1=-8(1)+266=-8+266=258[/tex]
Term 2: [tex]a_2=-8(2)+266=-16+266=250[/tex]
Term 3: [tex]a_3=-8(3)+266=-24+266=242[/tex]
…
Term 9: [tex]a_9=-8(9)+266=-72+266=194[/tex]
Find all real numbers x such that
(3^x - 27)^3 + (27x - 3)^3 = (3x + 27x - 30)^3
All the real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) is x = 1 .
In the question ,
it is given that the expression is
(3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)
By using the identity a³ + b³ [tex]=[/tex] (a + b)(a² - ab + b² )
we get ,
[(3x - 27 + 27x - 3)] × [(3x - 27)² - (3x - 27)(27x - 3) + (27x - 3)² ] = 30x - 30
(30x - 30)×[(3(x - 9))² - (3(x - 9) × 3(9x - 1)) + (3(9x - 1))²] = 30x -30
using the identity (a-b)² [tex]=[/tex] a² -ab + b²
(30x - 30) × [9( x² - 18x + 81) - (9(9x² - 82x + 9)) + (9(81x² - 18x + 1)) = 30x-30
9(30x - 30)×[x² - 18x + 81 - 9x² + 82x - 9 + 81x² - 18x + 1] = 30x - 30
270×(x - 1)×[ 73x² + 46x + 73] = 30(x - 1)
taking (x-1) terms to LHS ,
we get
(270 - 30)×(x - 1)[ 73x² + 46x + 73 ] = 0
(240) (x - 1) [ 73x² + 46x + 73 ] = 0 ....because 270-30 = 240
Dividing both sides by 240
we get ,
(x - 1) [73x² + 46x + 73] = 0
So , either x - 1 = 0 or 73x² + 46x + 73 = 0
on solving 73x² + 46x + 73 = 0
we get the discriminant of 73x² + 46x + 73 a negative number , so it cannot have real root .
hence x -1 = 0
x = 1
Therefore , the only real solution is x = 1 .
The given question is incomplete , the complete question is
Find all real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) ?
Learn more about Real Numbers here
https://brainly.com/question/4526506
#SPJ1
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Given,
The algebraic expression; n - 4
We have to find the phrase that represents the given algebraic expression.
Algebraic expression;
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
An algebraic expression can be categorized into different categories depending on how many terms it contains: polynomial, quadrinomial, trinomial, monomial, and binomial.
So,
n - 4
That is,
4 is less than from a number
Therefore,
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Learn more about algebraic expression here;
https://brainly.com/question/5064298
#SPJ1
Answer:
the answer is b
Step-by-step explanation:
In a school of 320 children, 45% of the children speak a language other
than English at home.
(i) Calculate the number of children in the school who speak a
language other than English at home.
(ii) Of the children who speak a language other than English at home,
24 speak Polish. Write the number of children who speak Polish as
a fraction of the number of children who speak a language other than English at home.
Give your answer in its simplest form.
The number of children in the school who speak a language other than English at home is 144.
The fraction of children who speak Polish is 1/6.
How many children speak a language other than English?Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.
Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children
Number of children in the school who speak a language other than English at home = 45% x 320
Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144
A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.
Fraction of the students who speak Polish = 24 / 144 = 1/6.
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
Claire has sold 8 candy bars and sells 5 more each day. Ayden has sold 20 candy bars and sells 3 more each day. How many days (d) will it be before Claire sells as many candy bars (c) as Ayden.
It will take 7 days for Claire to sell as many candy bars as Ayden
Claire has sold 8 candy bars and sells 5 more each day
The first term = 8
Common difference = 5
nth term is = a+(n-1)d
= 8 +(n-1)5
= 8 + 5n - 5
= 3 +5n
Ayden has sold 20 candy bars and sells 3 more each day
The first term = 20
Common difference = 3
nth term = a+(n-1) d
= 20 +(n-1)3
= 20 + 3n -3
= 17 + 3n
Then,
3 + 5n = 17 + 3n
5n - 3n = 17 - 3
2n = 14
n = 14/2
n = 7
Hence, it will take 7 days for Claire to sell as many candy bars as Ayden
Learn more about nth term here
brainly.com/question/1582366
#SPJ1
Translate (in terms of x) then solve the algebraic equation:
Nine is subtracted from twice some number and the result is the sum of the number
and 7.
The Algebraic Equation is correct
What is Algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Two times a certain quantity
When a number is divided by two, ten is subtracted: 2x-9
The equal sign is a result.
The number and its sum equals 7+x.
Put everything together (except for the first 2x, that was used to find the second part).
2x-9=7+x
Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.
2x-9=7+x
x-9=7
The -9 must now be positioned on the other side of the equal sign.
x = 7 + 9
x=16
Connect the 16 to the original equation to make sure you're doing it correctly.
2(16)-9=7+(16)
32-9=7+16
23=23
It is accurate.
Hence, The algebraic equation is correct
To learn more about Algebra click on the link
https://brainly.com/question/22399890
SPJ1
Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
2
(13q² +82q - 55) ÷ (q + 7)
The division of the given polynomial is [tex]13q - 9 + \frac{8}{q+7}[/tex].
What is the quotient of polynomials?
Any quotient of polynomials a(x)/b(x) can be expressed as q(x)+r(x)/b(x), where r(x) is a real number and b is a real number (x). For instance, x-2+3 can be used to represent (x2-3x+5)/(x-1) (x-1).
We have,
[tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]
By dividing,
[tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)} / \frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]
[tex]= 13q + \frac{-9q - 55)}{ (q + 7)}[/tex]
[tex]\frac{-9q - 55}{q+7} / \frac{-9q - 55}{q+7}[/tex]
[tex]= 13q - 9 + \frac{8}{q+7}[/tex]
Hence, the division of the given polynomial is [tex]13q - 9 + \frac{8}{q+7}[/tex].
To learn more about the quotient of polynomials visit,
https://brainly.com/question/27601809
#SPJ1
Write an absolute value equation which means t is 7 units
from zero.
What is your country name?
absolute value 2x - 6 less than 0
The solution set for the inequality is (-3, 3)
How to solve the absolute value inequality?Here we have the absolute value inequality
|2x| - 6 < 0
To solve this, we need to isolate the variable, which in this case is x.
Adding 6 in both sides we get:
|2x| -6 + 6 < 0 + 6
|2x| < 6
This can be decomposed in the inequality:
-6 < 2x < 6
Now to competely solve the inequality, we will divide both sides by 2, so we get:
-6/2 < 2x/2 < 6/2
-3 < x < 3
So the solution set is (-3, 3)
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
PLEASE HELP 50 POINTS PLUS BRAINLEST ANSWER ASAP Multiply (2.36 x 10^−9)(8.4 x 10^15). Write the final answer in scientific notation.
1.9824 x 10^7
19.824 x 10^6
1.9824 x 10^−134
19.824 x 10^−135
The explanation is above
Answer:
THE CORRECT ANSWER IS 1.9824 x 10^7
Step-by-step explanation:
award as brainliest
Use the Remainder Theorem to evaluate P(c).
P(x) = x4 + 7x³ – 6x – 11,
-
X
f(-1) =
[
C = -1
Answer:
[tex]-11[/tex]
Step-by-step explanation:
[tex]P(-1)[/tex] is the remainder when [tex]P(x)[/tex] is divided by [tex]x+1[/tex].
[tex]\frac{x^4 + 7x^3 - 6x-11}{x+1}=x^3 + 6x^2 - 6x-\frac{11}{x+1}[/tex].
The remainder is [tex]-11[/tex], so [tex]P(c)=-11[/tex].