Answer:
168.75 because u put a dot infront of 32 divide it by 54
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
A publisher ships magazines in cube-shaped boxes. These boxes are placed into a larger box that measures 6 ft long, [Math Processing Error] ft wide, and 12 ft tall. The edge length of each cube-shaped box is [Math Processing Error] ft.
How many cube-shaped boxes can fit into the larger box?
648 boxes
9,216 boxes
10,368 boxes
36,864 boxes
Please hurry!! 30 Points!!!
Answer: I am pretty sure that 648 boxes is the answer.
Step-by-step explanation:
what is the formula for the nth term of the given sequence 1,9,17...
Answer:
t(n) = 8n - 7
Step-by-step explanation:
Formula for Arithmetic Sequence: t(n) = (CD)n + t(0)
t(n) is the value of the termCD is a Common Difference, more about that soonn is the term numbert(0) is the 0th term (the first value of all sequences is the first term)Solve: Common Difference
Just like how you would solve for slope, you would solve for the CD
CD = (term value - previous term value)/(term # - previous term #)CD = (9 - 1)/(2 - 1)CD = 8/1CD = 8Now, we have the equation : t(n) = 8n + t(0)
Now we have to solve for t(0), the y-intercept of the 0th term
Solve: t(0)
Do this the same way you would solve for b in y = mx + b
t(n) = (CD)n + t(0)1 = 8(1) + t(0) <= Input output for t(n), and term number for n1 = 8 + t(0)-7 = t(0)Our final equation is \(\boxed{\text{t(n) = 8n - 7}}\)
-Chetan K
Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6
Answer:
No is not the solution to that system
Step-by-step explanation:
7) A large candy bar was 147 calories. The smaller
candy bar has 35% less calories. How many calories
does the smaller candy bar have?
Answer:
The smaller candy bar is 95.55 calories
Step-by-step explanation:
Answer:
papetushsidjdgfe just eheheie
Help me pleaseeeeeeeeeeeeee
the public library has volunteers shelve books after they have been returned. when Lisa arrives to volunteer, there are five nonfiction books for every 9 fiction books. if there are 117 fiction books to Shelve, how many nonfiction books need to be shelved?
There are 5 nonfiction books for every 9 fiction books. so we understand the the rate of nonfiction to fiction is: 5 : 9
We are asked to find how many nonfiction books are there if there are 117 fiction ones.
So we use the following proportion applying the rate we know of nonfiction/fiction:
5 / 9 = x /117
where we represented with "x" the number of nonfiction books we need to find.
We solve for that "x" by multiplying both sides by 117:
5 * 117 / 9 = x
then x = 65
Then, there are 65 nonfiction books to shelve.
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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the table shows the length of lessons per day, in some schools
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Applying the General Multiplication Rule A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = P(R | B) = P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent.
The probability that the first ball chosen is black and the second ball chosen is red is 24.24%
How do i determine the probability?First, we shall obtain the total balls present in the box. Details below:
Red ball (R) = 4Black ball (B) = 8Total ball =?Total ball = 4 + 8
Total ball = 12 balls
Next, we shall obtain the probability of chosen a black ball first. Details below:
Black ball (B) = 8Total ball = 12 ballsProbability of chosen a black ball first, P(B) =?P(B) = n(B) / n(T)
P(B) = 8 / 12
Next, we shall obtain the probability of chosen red as the 2nd ball. Details below:
Red ball (R) = 4Total pen = 11Probability of chosen red as the 2nd ball, P(R | B) =?P(R | B)= n(R) / n(T)
P(R | B) = 4 / 11
Finally, we shall obtain the probability that the first ball chosen is black and the second ball chosen is red. Details below:
Probability of chosen a black ball first, P(B) = 8 / 12Probability of chosen red as the 2nd ball, P(R | B) = 3 / 11Probability that the 1st ball is black and the 2nd is red, P(B ∩ R) =?P(B ∩ R) = [P(B) × P(R | B)] × 100
P(B ∩ R) = [(8 / 12) × (3 / 11)] × 100
P(B ∩ R) = 0.2424 × 100
P(B ∩ R) = 24.24%
Thus, the probability that the first ball chosen is black and the second ball chosen is red is 24.24%
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What is the value of x to the nearest tenth?
Answer:
x=9.6
Step-by-step explanation:
The dot in the middle represents the center of the circle, so therefore, the line that is represented by 16 is the radius. Since that is the radius, the side that is the hypotenuse of the small triangle is also 16, since they have the same distance.
The line represented by 25.6 with x as its bisector shows that when we divide it by 2, the other side of the triangle besides the hypotenuse is 12.8.
Now that we have the two sides of the triangle, we can find the last side (represented by x). Use pythagorean theorem:
\(a^2 +b^2=c^2\\x^2+(12.8)^2=16^2\\x^2+163.84=256\\x^2=92.16\\x=9.6\)
if it takes three people 4 hours to clean a warehouse how long will it take 4 people to clean the warehouse
The solution is ,if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.
Here, we have,
given that.
if it takes three people 4 hours to clean a warehouse
now, we have to find that how long will it take 4 people to clean the warehouse.
i.e. we have,
3 people take to clean = 4 hours
let, 4 people will take to do it x hours.
now, we have,
3 people take to clean = 4 hours
so, 1 people take to clean = 4*3 hours
so, 4 people take to clean = 4*3 / 4 hours
i.e. we get,
x = 4*3 / 4 hours
or, x = 12/4 hours
= 3 hours
Hence, if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.
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A person who weighs 800 n steps onto a scale that is on the floor of an elevator car. If the elevator accelerates upward at a rate of 5 m/s2, what will the scale read?
The scale read will be 123.28kg weight,f the elevator accelerates upward at a rate.
Given information:
W = 800 N
a = 5 m/s^2
The mass of the man is calculated as -
m = W / g
m = 800 / 9.8
m = 81.63 kg
When the man is standing in an elevator accelerating upwards, effective acceleration acting on him is -
a' = a + g
a' = 5 + 9.8
a' = 14.8 m/s^2
So the scale reading of the weight of the man is -
W' = m × a'
W' = 81.63 × 14.8
W' = 1208 N
W' = 123.28 kg wt
Hence, his weight on the scale is 1208 N.
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Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $22,000 over the next 3 years. What amount must be deposited quarterly into an account that earns 4.7% interest, compounded quarterly, in order to reach your goal? Round your answer to the nearest cent, if necessary.
The initial deposit needed for the account is given as follows:
$19,257.37.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for this problem are given as follows:
\(A = 22000, t = 3, r = 0.0447, n = 4\)
Hence the initial deposit P is obtained as follows:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(22000 = P\left(1 + \frac{0.0447}{4}\right)^{4 \times 3}\)
1.142657P = 22000
P = 22000/1.142657
P = $19,257.37.
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How do you use a compass step by step?
The compass can be used to make a copy of given angle in below mentioned steps.
i) Make a line and construct a semi-circle at one end of the line segment.
ii) Now, with same measurement construct a semi-circle at the vertex of the given angle.
iii) Now, measure the arc cutting the edges of the angle and make the same arc at the line segment.
Given, a compass
we have to mention the steps to use the compass
Compass can be used for many purposes such as :
1) To copy a given angle
2) To make a circle
To copy a given angle :
i) Make a line and construct a semi-circle at one end of the line segment.
ii) Now, with same measurement construct a semi-circle at the vertex of the given angle.
iii) Now, measure the arc cutting the edges of the angle and make the same arc at the line segment.
Hence, the compass can be used to make a copy of given angle in above mentioned steps.
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82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
Your friend gives you the right triangle above and to the left and says. "Bisecting an angle is really easy. Take triangle ABC. If I wanted to bisect
(a) Convince your friend that they are wrong. Use what you know about trigonometry to explain why CAD and DAB are not congruent.
(b)locate the point E on that lies on the angle bisector of CAB.How far is point E from point B?Show all your work
I) The angles are not equal then the two triangles are not Congruent.
ii) The point E is 1.5 from point B.
What is Bisector?
A line that divides the line into two distinct or equal segments is referred to as a "bisector." It is applied to angles and line segments.
A ray that divides an angle into two equal pieces is known as an angle bisector or the bisector of an angle.
Given:
As, <CAB = 19.4 and <DAB = 33.7
So, CAD and DAB are not congruent.
ii) The point E should be located 1.5 away from point B.
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1/7 f = 6
Solve equation
Answer:
42
Step-by-step explanation:
Henry ran 5/6 of a mile this morning. Sharon only ran 2/3 of a mile. How much more did Henry run than Sharon?
Answer:
2 miles.
Step-by-step explanation: Hopefully this helped!
Answer:
1/6 more
Step-by-step explanation:
find the common denominator which gives you 4/6, rest is self explanatory, 5/6 is 1/6 more than 4/6
A wire 22 cm long has a mass of 374 g. What is the mass of 13 cm of this wire?
Answer:
221 g
The up pinned pic is of inverse variation typed answer.. If u want word problem type answer here are the steps (EVEN IF THE STEPS ARE DIFFERENT ANSWERS REMAIN SAME)
Step-by-step explanation:
Mass of wire from 22cm = 374g
Mass of wire from 1 cm = 374÷22 = 17g
Mass of wire from 13 cm = 13×17 = 221 g
Complete the equation that can be used to find the final sale price of an item after a 6% markup if the original price was C and the final
price is f.
HELP PlSS
Answer:
Step-by-step explanation:
You paid C dollars for an item that you sold at a 6% profit.
F = 1.06C
#6* #6 Multiples Σ > Which answer choice has ONLY multiples of a. 7, 14, 21, 35, 56 b. 7, 21, 27, 35, 49 c. 7, 14, 28, 43, 56 d. 7, 21, 28, 49, 53
Answer:
A
Step-by-step explanation:
B) No 27 is a multiple of 3 alone.
C) No 43 is prime. If you replaced it with 42 all would be well.
D) N 53 is prime.
A) everything is divisible by 7.
Saige splits the following rectangle into 4 rows and 5 columns.
How many total same-sized squares did Saige make?
same-sized squares did saige make?
The total number of same-sized squares Saige made is 20
How to determine the number of same-sized squares?The given parameters are:
Rows = 4
Columns = 5
The number of same-sized squares is calculated as:
Square = Rows * Columns
This gives
Square = 4 * 5
Evaluate
Square = 20
Hence, the total number of same-sized squares Saige made is 20
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Linear Equations and InequalitiesSubstitute the given values into the formula and solve for the remaining variable.A = lw; if A = 44 when l = 16, find w.
We have the equation:
\(A=lw\)and we know that A=44 when l=16; plugging this values and solving fir w we have that:
\(\begin{gathered} 44=16w \\ w=\frac{44}{16} \\ w=\frac{11}{4} \\ w=2.75 \end{gathered}\)Therefore w=11/4 (this is the same as 2.75)
X+ B = c
Over 4
Solve for X
Answer:
x = \(c^{4}\) - b
-Amaya
Which expression is equal to
(3x – 4)(2x – 5)?
Answer:
6x^2-23x+20
Step-by-step explanation:
i think the expanded form of that equation is equal to it.
(3x-4)(2x-5)
3x(2x-5)-4(2x-5)
6x^2-15x-8x+20
6x^2-23x+20
I hope this helps and sorry if it's wrong
Mary has been getting up extra early on school days so far she has woken up 6 out of 80 school days what percent of the days has she get been getting up early
Let's begin by identifying key information given to us:
Number of times she woke early (e) = 6
Total number of days (t) = 80 days
The percentage of days she's been getting up early is given by:
\(\begin{gathered} \text{\%}n\text{=}\frac{e}{t}\cdot100\text{\%} \\ \text{\%}n=\frac{6}{80}\cdot100\text{\%} \\ \text{\%}n=7.5\text{\%} \end{gathered}\)Mary has gotten up early 7.5% of the days
The length of the red line segment is 10, and the length of the blue line segment is 6. How long is the transverse axis? A. 16 B. 10 C. 6 D. 4
The length of the transverse axis, given the length of the blue and red line segments is D . 4 .
How to find the length of the transverse axis ?Conventionally associated with ellipses or hyperbolas, the transverse axis represents the principal axis or the longest diameter of the said shape .
The formula to find the transverse axis in this scenario would be:
= Length of red line - length of blue line
Length of red line = 10
Length of blue line = 6
The length of the transverse axis is :
= 10 - 6
= 4
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27
3. A poll was conducted to find out whether people thought the United States should be involved (1 point)
in restrictions made on other countries' nuclear programs. Respondents who answered
positively were then asked to select a reason for this involvement. The respondents were
grouped into two age brackets. Using a 0.01 significance level, a test statistic of 19.529 and a
critical value of 9.210 were found. Use these values to test the claim that the age bracket is
independent of the choice for the cause of the United States' involvement in other countries'
nuclear programs.
OReject the null hypothesis; there is sufficient evidence to warrant rejection of the claim that the age
bracket is independent of the choice for the cause of the United States' involvement in other count
nuclear programs.
OFail to reject the null hypothesis; there is not sufficient evidence to warrant rejection of the claim
the age bracket is independent of the choice for the cause of the United States' involvement in oth
countries' nuclear programs.
Fail to reject the null hypothesis, this is sufficient evidence
Reject the null hypothesis, there is not sufficient evidence
Based on the information, the correct answer is B. Reject the null hypothesis; there is sufficient evidence to warrant rejection of the claim that the age bracket is independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.
How to explain the hypothesisThe test statistic is greater than the critical value, so we reject the null hypothesis. This means that there is sufficient evidence to conclude that the age bracket is not independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.
In other words, the age bracket of a respondent is related to the reason they believe the United States should be involved in restrictions made on other countries' nuclear programs.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15