Hi there.
[tex]= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =[/tex]
What we should do here is multiply the fractions. We know this information because it says in our problem - "the product".
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If ever we come across the word "the product of" in any mathematics problems, we should know that the operation we should use is "multiplication".
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This is how we multiply fractions:
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First, we check: Is there any way we can reduce the fractions?
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We cannot divide the top and bottom of these two fractions by the same number, but there is some reducing that can be done:
.
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Notice that 4 and 8 have a common factor - 2.
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Since 4 and 8 have a 2 in common, we divide 8 and 4 by 2:
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[tex]\bf{\displaystyle\frac{4}{15} *\frac{3}{8}}[/tex]
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[tex]\bf{\displaystyle\frac{1}{15} *\frac{3}{2}}[/tex]
.
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Now, 15 and 3 also have a common factor - 3:
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[tex]\bf{\displaystyle\frac{1}{5} *\frac{1}{2}}[/tex]
.
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What we should do now is multiply 1 by 1 and 5 times 2:
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[tex]\bf{\displaystyle\frac{1}{10}}[/tex]
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I hope that this helps clear your doubts; if any are left, please ask.
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I wish you a nice rest of your day.
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[tex]\bf{W}\sf{r}\bf{i}\sf{t}\bf{i}\bf{n}\sf{g}\:\bf{A\:\sf{L}\bf{e}\sf{t}\bf{t}\sf{e}\bf{r}.[/tex]
--
[tex]\huge\textbf{What does \boxed{product} mean?}[/tex]
[tex]\bullet\large\text{ Product simply means multiplication/multiply}[/tex]
[tex]\huge\textbf{So, what are we doing in the equation?}[/tex]
[tex]\bullet\large\text{ We are multiplying! :)}[/tex]
[tex]\huge\textbf{What should our equation look like?}[/tex]
[tex]\rm{\dfrac{4}{15}\times\dfrac{3}{8}}[/tex]
[tex]\huge\textbf{What are the steps?}[/tex]
[tex]\mathsf{\dfrac{4}{15}\times\dfrac{3}{8}}[/tex]
[tex]\mathsf{= \dfrac{4\times 3}{15\times 8}}[/tex]
[tex]\mathsf{= \dfrac{12}{120}}[/tex]
[tex]\mathsf{= \dfrac{12\div2}{120\div2}}[/tex]
[tex]\mathsf{= \dfrac{6}{60}}[/tex]
[tex]\mathsf{= \dfrac{6\div3}{60\div3}}[/tex]
[tex]\mathsf{= \dfrac{2}{20}}[/tex]
[tex]\mathsf{= \dfrac{2\div2}{20\div2}}[/tex]
[tex]\mathsf{= \dfrac{1}{10}}[/tex]
[tex]\huge\textbf{What is your answer to the question?}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
which expresstion is equivalent to 22 - 3
Answer:
48-29
Step-by-step explanation:
22-3=19, so put on that makes 19.
Answer:
19 + 3(19 + 22) - 22(3 * 7) + 1help please! thank you so much
Answer:
4 units ...................
On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, and 3 sophomores are male. One learner is picked at random to present the decoration plans to the principal.
What is the probability that the learner is a senior or a male?
Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:
p = 12/15 = 0.8 = 80%.
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please help!!!
Find the indicated measures using the diagram below
Answer:
x = 60°, y = 78°, z = 29°.
Step-by-step explanation:
(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.
∠x = 60°.(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.
Since ∠y ≅∠JPH, both angles measure 78°.(This can also be found by knowing 102 + y = 180 degrees, which simplifies to y = 78° since they are supplementary angles).(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.
∠z = 29°only answer if you know (no guesses) no spams! :)
Answer:
3/4
Step-by-step explanation:
I actually took this quiz a day ago!
A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic yards
Submit
The volume of the given cone.
Solution:[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]
[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]
[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]
Therefore, the volume of the given cone is 75.36 cubic yards.
Mary's total bill for a used car is $2,700.00. If she pays an equal amount each month for an entire year, how much will she have to pay each month?
Answer:
$225
Step-by-step explanation:
When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.
__
1/12 × $2700 = $225
Mary will have to pay $225 each month.
The grade 10 class is going to bake muffins. The recipe that they are going to use requires the following ingredients: RECIPE ✓2 Egga ✔125ml Cooking oll ✓375ml brown sugar (300g) ✓800ml Milk ✓300g Whole wheat flour ✓ 375ml cake flour (210g) ✓5ml Salt ✓ 5ml Vanilla Essence ✓ 10ml Bicarbonate of soda ✓ 250ml Raisins (150g) 2.1 The volume of 150g of Whole wheat is 250ml. Calculate the volume of the Whole wheat flour in the recipe 2.2 When they are all mixed together, all the above ingredients make up 2 litres of mixture (because some parts dissolve into other parts). 2.2.1 Convert 2 litres into ml 2.2.2 How many muffins can the above recipe make if 60ml is required for each muffin? 2.2.3 Using your answer to question 2.2.2, how many eggs will the girls need to buy to make 500 muffins? 2.3 The students need to make 500 muffins, using muffin trays that hold 6 muffins par tray. They plan to put 4 trays at a time into the ovens. Each oven takes 30 minutes to bake. How long will they take to make 500 muffins if they will be using 4 ovens?
The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.
How to convert?From the information, we are told to convert 2 litres into ml. This will be:
= 1000 × 2
= 2000ml
The number of eggs that will be bought to make 500 muffins will be:
= 500 × 2
= 1000 eggs.
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x+14/x=-9
Help please and if possible could someone be so kind as to make a step by step please
Answer:
X = 1.4
Step-by-step explanation:
x + 14/x = -9
x + 14 = -9x
x + 9x = -14
10x = -14
X = -14/10
X = -1.4
Which number is the largest 1.2 x 10^4, 4.5 x 10^-3,3.8x10^3,7.5^3
1.2x10^4
Step-by-step explanation:
2.
negative exponent means it's a fraction so
4.5x10^-3 is 1/4500 or 0.0045 so
it's a very small number
1.
^4 means means move the decimal 4 spots
12×10^4 = 12,000
3.
^3 means move the decimal 3 spots
3.8 x 10^3 =
3800
4.
7.5x10^3 =
7500
Does anyone know the correct answer.
Answer:
The answer is B
Please help me! Thanks.
Answer: Answer:
The perimeter of the polygon are
PQ = 5
RS = 5
PR = √74 = 8.60
QS = √74 = 8.60
QR = 7
Step-by-step explanation:
To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula
d = √(x _2 - x_1)^2 + (y_2 - y_1)^2
Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = 4
PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2
= √ 5^2 + 0^2
= √ 25
= 5
Between R( 5 , -3) and S ( 0 , -3)
x_1 = 5
y_1 = -3
x_2 = 0
y_2 = -3
RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2
= √( -5)^2 + ( -3 + 3)^2
= √ 25 + 0
= √ 25
= 5
Between P( 0 , 4) and R (5 , -3)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = -3
PR = √( 5 - 0)^2 + ( -3 - 4)^2
= √ 5^2 + (-7)^2
= √ 25 + 49
= √ 74
= 8.60
Between Q ( 5 , 4) and S(0 ,-3)
x_1 = 5
y_1 = 4
x_2 = 0
y_2 = -3
QS = √ ( 0 - 5)^2 + ( -3 - 4)^2
= √ -5^2 + -7^2
= √ 25 + 49
= √ 74
= 8.60
Between Q( 5,4) and R(5 , -3)
x_1 = 5
y_1 = 4
x_2 = 5
y_2 = -3
QR = √ (5 - 5)^2 + ( -3 - 4)^2
= √ 0^2 + (-7)^2
= √ 0 + 49
= √ 49
= 7
Step-by-step explanation:
What is i^34
OA. i
B. -1
O C. 1
O D. -i
Answer: -1
Step-by-step explanation:
[tex]i^{34}=(i^{2})^{17}=(-1)^{17}=\boxed{-1}[/tex]
A can of soda can be modeled as a right cylinder. Jin measures its height as 11.8 cm
and volume as 281 cubic centimeters. Find the can's diameter in centimeters. Round
your answer to the nearest tenth if necessary.
Answer: 5.5 cm
Step-by-step explanation:
did it
53 POINTS. Which expression gives the distance between the points (7, -2) and (3, -1)?
A.√4² +3²
B.√4² +1²
C. 10² +3²
D.√10² + 1²
the formula for distance between points is:
Distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Using the points given:
Sqrt((3-7)^2 + (-1 - -2)^2)
Sqrt(-4^2 + 1^2)
None of the answer have a -4 but I think it should be B. Since it is the closest. Did you forget a negative sign when typing??
answer B.
x+5≤−4 solve for x please
Answer:
x ≤ -9
Step-by-step explanation:
[tex]x+5 < /=-4[/tex]
[tex]x+5-5 < /=-4-5[/tex]
[tex]x < /=-4-5[/tex]
[tex]x < /=-9[/tex]
The equation of this circle is (x +
)2 + (y +
)2 =
.
Answer:
x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.
I think this is the answer.
What the equation of the line that passes through the points (-4, 3) and is parallel to y = ½ x - 7?
The equation of the parallel line is: y = 1/2x + 5.
What is the Equation of Parallel Lines?The slope (m) of parallel lines are the same.
Given the equation, y = 1/2x - 7, the slope (m) is 1/2. Therefore, the slope of the line that passes through (-4, 3) would be m = 1/2.
To find the y-intercept (b), substitute m = 1/2 and (x, y) = (-4, 3) into y = mx + b.
3 = 1/2(-4) + b
3 = -2 + b
3 + 2 = b
5 = b
b = 5
Substitute m = 1/2 and b = 5 into y = mx + b:
y = 1/2x + 5
The equation is: y = 1/2x + 5.
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Find the distance from point C to point B.
Enter as a decimal rounded to the nearest tenth.
A
C
CB = [?] m
56°
390 m
B
Enter
Answer:
578.2
Step-by-step explanation:
tan(56) = 1.48256096
1.48256096 * 390
578.1987744
CB=578.2m
Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch.
How many liters of orange juice did Fabian use to make the punch?
A.
9 L
B.
11 L
C.
13 L
D.
15 L
Step-by-step explanation:
Total= 19
Each holds 2 litres .
So it means, 19 -4= 15
You need 15 litres of oranges.
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 6, 4, 6, 8, 7, 7, 6, 3, 3, 8, 10, 4, 8 7, 8, 7, 5, 9, 5, 8, 4, 3, 8, 5, 5, 4 4, 4, 8, 4, 5, 6, 2, 5, 9, 9, 8, 4, 8 9, 9, 5, 9, 7, 8, 3, 10, 8, 9, 6 Develop, a, 95%, confidence, interval, estimate, of, the, population, mean, rating, for, Miami.
Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.
Considering the given sample, the other parameters are given as follows:
[tex]\overline{x} = 6.34, s = 2.16, n = 50[/tex]
Hence, the bounds of the interval are:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95[/tex]
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a. The velocity, v, of an object is moving in a medium at time t is given by
t = √ 30² +50+2 du. Evaluate t.
+
The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
Velocity of the object moving in the medium
The velocity of the object moving in the medium is given as;
t = ∫(3u² + 5u + 2)du
the value of t is obtained by integrating the function as follows;
t = (3u³)/3 + (5u²)/2 + 2u
t = u³ + 2.5u² + 2u
Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
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ttyuyuyuyuyuyuyuyuyhuhhss
Answer:
huhh
Step-by-step explanation:
Find the distance between the points (-20,6) and (-20,-14)
Answer:
20.00 units
Step-by-step explanation:
The distance between two points with coordinates
(-20,6) and (-20,-14) is:
20.00 units
(results are in decimal form, rounded to the nearest 100th)
Which of the following questions is a statistical question?
How many sticks of gum can you chew at one time?
Where can gum be purchased?
How many types of gum are there?
How many sticks of gum come in a standard pack?
"How many sticks of gum can you eat at one time?" is the finest and most right response. Then the correct option is A.
What are statistical questions?A statistical question is one that may be addressed by gathering data from several sources.
A statistical question is one that may be addressed by gathering data and in which the data is likely to vary. This is not the same as a question with a predetermined response.
The first choice or letter A, "How many sticks of gum can you eat at one time?" is the finest and most right response among the options supplied by your query.
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GIVEN F(x) = 4/x , FIND THE FOLLOWING VALUES.
1. x= 0
2. x= 2
3. x= 1
4. x = 2x
What fraction is equivalent to 046464646
Answer:
46/99
explanation shown in the picture
Select the correct answer from each drop-down menu.
Alice is playing checkers against a computer and has won 8 games out of the 12 she's played so far.
Alice must win the next ✓consecutive games to reach a winning percentage of 80%. After that, losing
will bring her winning percentage down to 50%.
consecutive games
She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.
How to find the probability of winning?
She has won 8 out of 12 days. Thus, percentage of winning is;
P(winning) = 8/12 * 100%
P(Winning) = 75%
To arrive at 80% winning, it means that the number of extra consecutive games she must win is;
(8 + x)/(12 + x) = 80/100
10(8 + x) = 8(12 + x)
80 + 10x = 96 + 8x
2x = 16
x = 8
Thus, she must win the next 8 consecutive games to get 80%.
For her to get to 50% after that, it means that;
(16 - x)/(20 - x) = 50/100
(16 - x)/(20 - x) = 1/2
2(16 - x) = 20 - x
32 - 2x = 20 - x
x = 12
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2x-y=3, x=-2y-2 solve for substitution
Answer:
-1.25
Step-by-step explanation:
2x - 7 = 3
x = -2y - 2
3 + 7 = 2x
x = 5
5 = -2y - 2
5 = -4y
5 = -4 times y
-
(02.03 MC)
Rewrite the given expression as a product of a binomial and a trinomial.
729x3 + 8y³
O (9x-2y)(81x² - xy + 4y²)
O (9x+2y)(81x2 - 18xy + 4y²)
O (9x+2y)(81x² + xy + 4y²)
O (9x-2y)(81x2 - 18xy + 4y²)