Write the product in simplest form: 1 2/3 x 3 4/5=
Answer:
19/3
Step-by-step explanation:
1 2/3 = (1*3 + 2)/3 = 5/3
3 4/5 = (5*3 + 4)/5 = (15 + 4)/5 = 19/5
5/3 * 19/5 = 19/3 The 5s cancel.
The simplest form is not obvious to me. I think the answer above is in simplest form, and I will put that below the answer above. But 6 1/3 is also possible.
Answer:
4 1/3
Step-by-step explanation:
1 [tex]\frac{2}{3}[/tex] × 3 [tex]\frac{4}{5}[/tex] =
[tex]\frac{5}{3}[/tex] × [tex]\frac{19}{5}[/tex] =
[tex]\frac{95}{15}[/tex] = 4 [tex]\frac{5}{15}[/tex] = 4 1/3
Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.
Answer:
$1250.00 + (x)$4.25 =
Step-by-step explanation
So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.
Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.
Answer: Hello the system of equations and other data required are missing attached below are the missing data
answer :
attached below
Step-by-step explanation:
1st system of equations ( top left ) = Image number 8
system of equation ( Image 10 ) = Image 4
system of equation ( Image 9 ) = Image 6
system of equations ( Image 7 ) = Image 2
attached below is a pictorial representation of the solution
SOMEONE SMART PLEASE HELP!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
Height = 10 yd
Step-by-step explanation:
GIVEN :-
Area of the triangle = 32 yd²Base of the triangle = 6.4 ydTO FIND :-
The height of the triangleGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
For a triangle with base 'b' & height 'h' , its area = [tex]\frac{1}{2} \times b \times h[/tex]
SOLUTION :-
[tex]Area = \frac{1}{2} \times Base \times Height[/tex]
[tex]=> 32 = \frac{6.4h}{2}[/tex]
[tex]=> 6.4h = 32 \times 2 = 64[/tex]
[tex]=> h = \frac{64}{6.4} = 10\: yd[/tex]
2. Graph on a coordinate plane or explain how to graph: x = 5
Answer:
x = 5 is a vertical line at x = 5
X/30 + X/40= 1
Solve for x
Answer:
17 1/7 I think
Step-by-step explanation:
x=17.1
Step-by-step explanation:
[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]
Question 2.1
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.
Answer:
x = 5.3
Step-by-step explanation:
Reference angle (θ) = 24°
Opposite side to the reference angle = x
Adjacent side = 12
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 24° = x/12
12*Tan 24° = x
5.34274422 = x
x = 5.3 (approximated to one decimal place)
Answer a, b and c. See image below
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]
[tex]\frac{9}{15}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]
The common denominators of the two fractions is 30. Comparing the two fractions:
[tex]\frac{21}{30} >\frac{18}{30}[/tex] or [tex]\frac{18}{30}<\frac{21}{30}[/tex]
so we get: [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)
Answer:
P(a pair with matching cards in different suits) = 1/52
Step-by-step explanation:
We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.
Thus;
Probability of selecting one card of a particular suit = 13/52 = 1/4
If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.
Thus; probability = 3/39 = 1/13
Thus;
P(a pair with matching cards in different suits) = 1/4 × 1/13
P(a pair with matching cards in different suits) = 1/52
Write a number in which the digit 1 is worth 10 times as much as it is in 62,901
Answer:9
Step-by-step explanation:
No step
Answer:
the answer for this is 1
Step-by-step explanation:
cause ten times of 1 is 1.
Please don't confuse yourself with
1 times of 10.that one is 10
ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.
the second one is 10 ×1 =10.
you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Answer:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
Step-by-step explanation:
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.
Which system of inequalities has the solution set shown in the graph?
25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
lmoa what
Answer:
A. 25 < (x – 1)² + y² and 16 > x² + (y + 4)²
Step-by-step explanation:
the solutions are in the outside of the bigger circle, but inside of the smaller circle
The inequality is 25 < (x – 1)² + y² and 16 > x² + (y + 4)². Option A is correct.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.
The solutions are on the outside of the bigger circle, but inside of the smaller circle.
The radius of the bigger circle is 5 and the radius of the smaller circle is 4. The graph of the inequality is attached with the answer below.
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Some help with this pleaseee!
Answer:
g(x) = |x| + 7
Step-by-step explanation:
Adding the constant +7 on the end of the equation means a translation 7 units up.
suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million
Answer:
53 million.
Step-by-step explanation:
$26.2 / total = 0.49 ($ in millions)
Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $
Use the Squeeze Theorem
Answer:
See Below.
Step-by-step explanation:
We want to use the Squeeze Theorem to show that:
[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]
Recall that according to the Squeeze Theorem, if:
[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]
And:
[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]
Then:
[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]
Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:
[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]
We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:
[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]
Let g = -x², h = x², and f = x²sin(2 / x). We can see that:
[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]
And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:
[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]
Inequality of y<-4+3 on graph
Answer:
[tex]y < - 1[/tex]
Step-by-step explanation:
[tex]y < - 4 + 3[/tex]
[tex]y < - 1[/tex]
Hope it is helpful...[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]
[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
9514 1404 393
Answer:
7 years
Step-by-step explanation:
The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...
1.025^n = 2
Taking logarithms, we can solve for n:
n×log(1.025) = log(2)
n = log(2)/log(1.025) ≈ 28.071
It will take 28 quarters, or 7 years, for the value to double.
Find the volume of this figure
Answer:
A
Step-by-step explanation:
36*12*6+12*24*3=3456
Answer:
3456
Step-by-step explanation:
36*12*6 + 24*12*3
just add up the two volumes
Find the distance between the pair of points: (2,6) and (0,−3).
Answer:
d = √85
Step-by-step explanation:
d^2 = (X2 - X1)^2 + (Y2 - Y1)^2
= (2 - 0)^2 + (6 + 3)^2
= 4 + 81
d = √85
The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.
Answer:
0.36
Step-by-step explanation:
Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .
The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .
72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .
Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36
& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600
1. how many cubic meters are in 250,000 cubic centimeters?
A. 0.025m³ B. 0.25m³ C. 2.50 m³ D. 25
2. the volume of an ordinary box is 3.5 m³. wxpress its volume in cm³?
A. 350 cm³ B. 35000 cm³ C. 3500000 cm³ D. 35000000 cm³
3. Write 1.6 dm³ in cubic centemeters.
A. 1.6 cm B. 16 cm³ C. 160 cm³ D. 1600 cm
4. What is 500dm³ in m³?
A. 0.005 m³ B. 0.05m³ C. 0.5 m³ D. 5 m³
Answer:
1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³
so 250,00cm³ are just 0.25m³
2) looking at the conversion above, three point five million is correct
3) 1dm³ = 10cm*10cm*10cm = 1,000cm³
D, as in Dewey Duck
4) 1m³ = 10dm*10dm*10dm = 1,000dm³
see that it's C?
no links, if ur right i’ll give u brainlist!!
Answer:
answer is C. if im wrong just let me know :3
Help me out thankssssss !!!!!!
Answer:
78/2=39°
Step-by-step explanation:
thx for the points
Jake has a 1 in 5 chance of winning the egg and spoon race.
what is the probability that he will NOT win the race
8%
20%
60%
80%
Answer:
Step-by-step explanation:
1 in 5 = 1/5 = 20% that he wins
Probability that he will NOT win
= 1 - 20%
= 100% -20%
= 80%
Answer:
80%
Step-by-step explanation:
percentage of winning
1/5×100%=20%
percentage of not winning
100%_20%=80%
a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions
Answer:
WIDTH= 54yd, LENGTH= 216 yd
Step-by-step explanation:
Length can be denoted as L
Width can be denoted as W
From the question,
(L= 4W) ........... eqn(1)
But perimeter = [(2L + 2W)]........eqn(2)
Substitute eqn(1) into (2)
Perimeter= (8W + 2W) = 10W
From the question,
perimeter= 540 yd
540=10W
W=(540/10)= 54
W= 54 yd
Hence, WIDTH= 54yd
From equation (1) substitute W= 54 yd
(L= 4W)
L= (4×54)
L= 216 yd
Hence, LENGTH= 216 yd
The dimensions are WIDTH= 54yd, LENGTH= 216 yd
a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?
Answer:
43.2 meters
Step-by-step explanation:
Multiply the length of one piece of ribbon by 8 to determine the total length
5.4 * 8 =43.2 meters
9)
10)
22x - 2
8x + 2
A) 5
B) 6
D 2
C) 8
A 5
C) -10
Answer:
I don't know
Step-by-step explanation:
could you screenshot your question or reword it. I don't know what you're asking. Sorry.
Which of the following is the product of 7/8 and -4/21? a.- 1/6 b.1/12 c.- 16/21 d.- 147/32
Answer:
A. -1/6
Step-by-step explanation:
7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6The product of 7/8 and -4/21 is a.- 1/6.
What is the product?In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.
Now the given numbers are,
7/8 and -4/21
now taking 7/8 and since 8= 4*2
so, 7/8 = 7/(4*2)
Again taking -4/28 and since 28 = 7*4
so, -4/21 = -4/(7*3)
hence the product of 7/8 and -4/21 is given as,
7/8*(-4/21) = 7/(4*2) x -4/(7*3)
taking alike terms together we get,
7/8*(-4/28) = (7/7)(4/4)(-1/2*3)
⇒ 7/8*(-4/28) = -1/6
Hence the correct option is a.-1/6
Therefore,The product of 7/8 and -4/21 is a.- 1/6.
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using a=15 b=12 c=21 is the triangle ABC a right angle triangle
you spin the spinner once
What is P(5)?
0-10
A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.
The probability of getting 5 on spinner is 0.25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, on the spinner there are four numbers {3, 4, 5, 6}.
Number of favorable outcomes = 1
Total number of outcomes = 4
So, P(5) = 1/4
= 0.25
Therefore, the probability of getting 5 on spinner is 0.25.
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