we can cut 4 pieces of 1 1/4-foot-long from the 6½ feet of ribbon and we will have 1.5 feet of ribbon left over, we can divide the length of the ribbon by the length of each piece:
6.5 feet ÷ 1.25 feet/piece = 5.2 pieces
However, since we can't have a fraction of a piece, we need to round down to the nearest whole number:
5 pieces
To find out how much ribbon will be left over, we can subtract the length of the 5 pieces from the original length of 6½ feet:
6.5 feet - 5 pieces x 1.25 feet/piece = 6.5 feet - 6.25 feet = 0.25 feet or 3 inches
Therefore, we can cut 5 pieces of 1 1/4-foot-long from the 6½ feet of ribbon and we will have 3 inches or 0.25 feet of ribbon left over.
To solve the problem using math:
Let x be the number of 1 1/4-foot-long pieces we can cut from the 6½ feet of ribbon.
Then we can set up an equation:
x(1 1/4 feet/piece) = 6.5 feet
Multiplying both sides by 4/5 to eliminate the fraction:
x(5/4 feet/piece) = 5.2 feet
x = 5.2 feet ÷ (5/4 feet/piece) = 4.16 pieces
Since we can't have a fraction of a piece, we round down to the nearest whole number:
x = 4 pieces
To find the amount of ribbon left over, we can subtract the length of the 4 pieces from the original length of 6½ feet:
6.5 feet - 4 pieces x 1 1/4 feet/piece = 6.5 feet - 5 feet = 1.5 feet
Therefore, wewe can cut 4 pieces of 1 1/4-foot-long from the 6½ feet of ribbon and we will have 1.5 feet of ribbon left over.
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Step 2 Use the answers from Step 1 to find the total distance Sonja's ball traveled during her warm
up. Show your work (4 points)
I need help on the whole page if anyone knows the answer to this
Answer: step 1:
wickets 2 and 9, (16,18) and (15,43) = 25.02ft
wickets 9 and 8, (15, 43) and (37,65) = 31.11 ft
wickets 8 and 5, (37, 65) and (63,39) = 36.7 ft
wickets 5 and 3, (63, 39) and (41, 17) = 31.11 ft
wickets 3 and 2, (41, 17) and (16, 18) = 25.02 ft
how to find the x component of this vector
12.1 meters 48.4 degrees
The magnitude of the x-component of this vector is 9.05m.
The angle of inclination of the vector is calculated as;
θ = 90 ⁰ - 48.4 ⁰
θ = 41.6 ⁰
The magnitude of the x-component of the vector is calculated as;
Vx = 12.1 m x cos ( 41.6 )
Vx = 9.05 m
A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.
Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.
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Complete Question:-
please help! Find the value of the convergent series:
Answer:
2.25
Step-by-step explanation:
Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.
We can also represent this as a summation series of
\(Σ3( - \frac{1}{3} ) {}^{n - 1} \)
Since we can represent this a summation series, we can use that convergent value is equal to
\( \frac{a _{1} }{1 - r} \)
where a1 is initial term and r is common ratio.
R is -1/3
A1 is 3.
\( \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25\)
So the answer is 2.25
20 inch (diameter) bicycle wheel is spinning at a rate of 150 rpm. how fast is the bicycle moving (in mph)?
The bicycle is moving at a speed of 14,356 meters per hour.
Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.
The diameter of the wheel is 20 inches
⇒ radius = 10 inches
⇒ circumference of the wheel = 2 × π × 10
= 20π
Thus, the wheel will cover a distance of (20π × 150) inches in a minute
= 300π
now, we know that 1 inch = 0.254 meters
⇒ 300π inches = 300π × 0.254
= 76.2π
Thus, the bicycle covers 76.2π meters in a minute
⇒ it'll cover 76.2π × 60 meters in an hour
= 4572π
= 4572 × 3.14
= 14,356.08
Thus, the bicycle is moving at a speed of 14,356 meters per hour.
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The probability of getting a drawing an two or a four out of a bag containing the numbers 1 - 8 inclusive
Answer:
1/4
Step-by-step explanation:
How many possible cases are there?
Possible cases = Total no. of balls in the bag = 8, which are
[1, 2, 3, 4, 5, 6, 7, 8]
To draw a 2/4, the probability is 2/8 = 1/4
Zoe has $19 more than Krystal. Both have a combined total of $37. Enter how much money Zoe has.
Answer:
Krystal=$9 , Zoe=$28
Step-by-step explanation:
Zoe = x+19
Krystal = x
Equation - x+x+19=37
Simplify - 2x+19=37
2x=18
x=9
2. Three times some number, decreased by five is no less than 16.
Written as a inequality, what will it be?
Answer:
Read explanation
Step-by-step explanation:
The equation is written as: \(3x-5\geq 16\)
You can make it a 2 step equation.
\(3x-5\geq 16\\\)
16+5=21
\(3x\geq 21\)
21/3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)
3 times some number decreased by 5 is no less than 16.
\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)
3n-5≥16
\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)
First, notice it says "no less than 16"
So the expression can't be less than 16, so it's greater than or equal to 16.
Now, let the number be n.
Multiply 3 times n:
3n
"Decreased by 5" means you subtract 5:-
3n-5
Inequality:- 3n-5≥15
Solve:
3n-5≥15
3n≥15+5
3n≥20
n≥20/3
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
A family with 4 adults and 3 children spends 47 for movie tickets at the theater. Another family with 2 adults and 4 children spends 36 . What is the price of a child's ticket in dollars?
Answer:
The price of a child ticket in dollars $8.00
Step-by-step explanation:
im giving most of my points pls help(49)
What is the volume of a right rectangular prism with a height of 15 feet, length of 24 inches, and width of 6 feet?
45 ft³
180 ft³
2160 ft³
4320 ft³
Answer:
180 ft^3
Step-by-step explanation:
volume=lwh
15 * 2* 6 = 180 ft^3
*change 24 inches to 2 feet*
Answer:
180 ft³
Step-by-step explanation:
To find the volume of a right rectangular prism, the equation is length x width x height. So, you would do 2 x 6 x 15, because 24 inches is 2 feet and the rest is given. And so, 2 x 6 x 15 = 180, so your answer is 180 ft³.
(hope this helps :P)
This table shows the ticket price for each person to visit a zoo in winter.
adult = £18
child (3-17) = £14
child ( under 3) = free
A family of two adults, one child aged 8 and one child aged 1 visit the zoo in winter.
In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?
Answer: £9.3 more
Step-by-step explanation:
Price for winter tickets: £18 + £18 + £14 = £50
Summer tickets pricing:
£18 + 20% = £21.6
£14 + 15% = £16.1
Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3
Subtract winter tickets from summer tickets for difference:
£59.3 - £50 = £9.3
Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)
b. (f-g)(x)
Need help guys
\( \tt \pink{nonsense = report}\)
\( \tt \pink{correct = brainliest.\: heart. \: rate \: 5}\)
Given : f(x) = 6x - 2 and g(x) = 2x + 4 .
Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .
ㅤ(I) (f+g)(x)
\(\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\\)
ㅤ(I) (f-g)(x)
\(\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\\)
there are 28 girls and 42 boys from 6 sections registered to participate in a science quiz bee. the quiz master divided the participants into teams with the same number of boys and girls on each team. how many teams will be there? how many boys and girls are on each team?
The number of boys and girls in a team after the selection of participants are 2 and 3, respectively
Calculating the number of boys and girls in a teamThe number of boys are girls are given as
Boys = 28
Girls = 42
Sections = 6
To form teams with the same number of boys and girls on each team, we need to determine the greatest common factor (GCF) of the number of girls and the number of boys.
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
The greatest common factor of 28 and 42 is 14.
So, we have
Boys = 28/14 = 2
Girls = 42/14 = 3
This means that each team has 2 boys and 3 girl
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To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches. He
already has a 48-inch pipe.
Use the variable L to represent the length of the extra (scrap) that is removed from the
48-inch pipe. Express all possible lengths for this scrap as a compound inequality.
Express all possible lengths for this scrap as a compound inequality will be L ≤ 24.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches.
⇒ 3/4 x 32
⇒ 24
He already has a 48-inch pipe.
Let the variable L represents the length of the extra (scrap) that is removed from the 48-inch pipe will be
Then express all possible lengths for this scrap as a compound inequality will be
L + 24 ≤ 48
L ≤ 48 - 24
L ≤ 24
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Whats 5000+35548-455x4534+38534x233=?
Answer:
6,956,000
Do all the operations in order by following the PEMDAS method.
Need help with this geometry question.
Answer:
x = 80
Step-by-step explanation:
if ray RU bisects <QRS that means it divided the angle into two equal parts
then we can write the following equation to find the value of x:
<SRU = <QRU
50 = (x/2 + 10) subtract 10 from both sides
40 = x/2 multiply both sides with 2
80 = x
<QRS = 100 because it's the sum of <SRU and <QRU
PLEASE HELP ME (it's for my math HW Verifying Inverse Functions)
2x+1=5
Find the value of x
Answer:
I think x = 2
Step-by-step explanation:
If we input 2 into x, it would look like this: 2(2) + 1 = 5
Then we multiply, which would get us: 4 + 1 = 5
So, the answer is most likely 2
What is the slope of the line that passes through the points shown in the table?
Answer:
2
Step-by-step explanation:
to find the slope we use y2-y1/x2-x1 on any of these points
1-(-1)/2-1
1+1/1
2/1
2 is the slope
Hopes this helps please mark brainliest
HELLP PLS THANK YOU SO SO MUCH
Answer:
less than < the first option
Can someone help Solve for x.
2 −1 −4 7 3 4 5 5 −1 2 1 −1 which operation will make the lower left element the largest?
Performing the operation of taking the absolute value of each element in the matrix will make the lower left element the largest.
To determine which operation will make the lower left element the largest, we need to compare the values of the lower left element with the other elements in the matrix. The given matrix is:
2 -1 -4
7 3 4
5 5 -1
2 1 -1
Taking the absolute value of each element means disregarding the sign and considering only the magnitude of the values. By taking the absolute value of each element in the matrix, the negative values become positive, and the positive values remain unchanged.
After taking the absolute value, the matrix becomes:
2 1 4
7 3 4
5 5 1
2 1 1
Now, if we compare the lower left element (-1 in the original matrix) with the elements in the new matrix, we can see that the element in the lower left corner (1 in the new matrix) is the largest among them. Therefore, taking the absolute value of each element in the matrix will make the lower left element the largest.
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Answer:
B. R2<-->R3
Next one is
[-1 2 1 -1]
[3 4 5 5]
Step-by-step explanation:
Took the assignment and got it right, enjoy :)
Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
at 8:00 AM. After 5 hours, the pool contained
230 gallons of water. If the water input continues
at a constant rate, how many more hours are
needed to completely fill the 920-gallon pool?
Answer:
15 hours
Step-by-step explanation:
To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.
Select all of the equations that are true.
A823÷418=2110
B1112÷834=11135
C256÷314=319
D1223÷614=2275
E123÷112=1
Answer:
none
823÷418=2
1112÷834=1.333333333
what is the probability that a randomly chosen return shows an adjusted gross income of $50,000 or more?
The probability that a randomly chosen return shows an adjusted gross income of $50,000 or more is 33.2%.
For mutually exclusive events, use the following addition rule:
P(A or B) = P(A) +P(B)
The corresponding probabilities is :
P( income > $50000) = P( >50)
= P(50 - 90) +P( 100 - 499) +P( ≥ 500)
= 0.215 + 0.100 +0.006
= 0.321
Therefore, the probability of a random selection returning is
P( income > 50000) = 0.321
Now ,
P( income ≥ 50000 and ≥ 100000 ) = P( > 100000)
= 0.100 + 0.006
= 0.106
The Probability Condition is:
P(A/B) = P(A and B) / P(B)
Therefore,
P( ≥ $100000 / $ $50000)
= P( ≥ $100000 and $ $50000)/ P( ≥ $50000)
= 0.106/ 0.321
≈ 0.3302
= 33.2%
Therefore, the conditional probability of earning at least $50000 and more is 33.2%
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Sin 88° = 2 sin 44° cos 44°
Sin(-222) = sin222
Each true or false
Answer:
2a
Step-by-step explanation:
Determine what type of model best fits the given situation: Every day, half a bacteria population dies.
Answer:
Step-by-step explanation:
This is a geometric sequence because each new term is a multiple (actually, "negative half of the previous term").
If the original population were Po, then the population after d days is
P = Po(0.5)^(d - 1)
3x + 1/5y = 7 what is Y
Answer: y = − 15 x + 35
Help me please I need help asap
Select all statements that are true about a linear relationship that is also a propotional relationship
A) The graph passes through the origin
B) The graph does not pass through the origin
C) The constant of proportionality can be found using run/rise
D) The slope is the same as the constant os proportionality
D) The slope is the same as the unit rate
For all proportional relationships, the true statements are:
A, D, and E.
Which statements are true about a proportional relationship?
A proportional relationship between two variables x and y is written as:
y = k*x
Now let's analyze each of the given statements:
A) The origin is the point (0, 0).
If you evaluate the general equation in x = 0 you get:
y = k*0 = 0
So yes, this equation passes through the point (0, 0).
B) This is false, as we saw above.
C) The formula for the constant of proportionality is:
y = k*x
y/x = k
So we can see that k = rise/run
the statement is false.
D) Yes, this is true, a general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept, particularly if the y-intercept is zero, then we have a proportional relation.
E) Yes, slope, unit rate, constant of proportionality, are all equivalent terms for a proportional relation.
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3. Which equation matches the statement "The product of 3 and the difference of a number and 10
is 152
3+ (x - 10) = 15
3x - 10 = 15
3(x - 10) = 15
03R = 15
10
Answer:
3(x-10)=15
Step-by-step explanation:
assuming 152 is a typo