Answers
Answer:
1. 4/12, 3/9, 2/6, 5/15
2. 4/8, 8/16, 6/12
3. 2/8, 4/16, 3/12
4. 6/8, 9/12, 4/16
Step-by-step explanation:
I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.
1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.
To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.
Step 1: reduce answer choices
6/16 = 3/8 (done by dividing both terms by 2)
4/10 = 2/5 (divide both by 2)
3/8 = 3/8 (fully reduced)
2/5 = 2/5 (fully reduced)
4/12 = 1/3 (divide both by 4)
5/10 = 1/2 (divide both by 5)
1/2 = 1/2 (fully reduced)
3/9 = 1/3 (divide both by 3)
2/6 = 1/3 (divide both by 2)
5/15 = 1/3 (divide both by 5)
3/8 = 3/8 (fully reduced)
3/4 = 3/4 (fully reduced)
2. This question is solved the same way as question 1.
Step 1: reduce answer choices
2/5 = 2/5
6/9 = 2/3
4/8 = 1/2
3/9 = 1/3
8/16 = 1/2
8/10 = 4/5
7/12 = 7/12
6/12 = 1/2
3. This question is solved the same way as questions 1 and 2.
Step 1: reduce answer choices
3/8 = 3/8
2/8 = 1/4
4/9 = 4/9
2/7 = 2/7
4/16 = 1/4
10/14 = 5/7
6/9 = 2/3
3/12 = 1/4
4. This question is solved the same way as questions 1, 2, and 3.
Step 1: reduce answer choices
6/8 = 3/4
4/9 = 4/9
4/6 = 2/3
9/12 = 3/4
10/12 = 5/6
6/9 = 2/3
12/16 = 3/4
7/9 =7/9
Related Questions
The ratio of ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
0) what are their ages now?
(1) after how many years (from now)
will the ratio be 5:6?
Answers
Ann and Bob's age is 21 years and 28 years respectively and after 14 years the ratio will be 5:6.
What is Ratio ?
The comparison of one quantity to other is called a ratio and when two ratios are equal they are said to be in proportion.
It is given in the question that
The ratio of Ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
their ages now = ?
Let the age of Ann and Bob is x and y
x:y = 3:4
x =(3/4)y
After seven years
(x+7):(y+7) = 4 :5
(x+7)/(y+7) = 4/5
((3/4)y +7)/(y+7) = 4/5
(3y +28)/(y+7) = 16/5
5*(3y+28)= 16(y+7)
15y +140 = 16y+112
y = 140-112
y =28 years
x = 21 years.
After x years suppose the ratio is 5 :6
(21+x)/(28+x) = 5:6
126 +6x = 140 + 5x
x = 14 years.
Therefore after 14 years the ratio will be 5:6.
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How do I solve and find x?
Answers
Answer:
x = 76.5
Step-by-step explanation:
[tex]\frac{x}{4.5}[/tex] = 22 - 5
[tex]\frac{x}{4.5}[/tex] = 17
x = 17 x 4.5
x = 76.5
a swimming pool is 10 feet and 14 feet long. A
concrete border was poured that was 3 feet wide
around the pool. Find the perimeter of the
concrete walk.
Answers
Answer:
72 ft
Step-by-step explanation:
The perimeter of the concrete walk is the sum of the lengths of its outside edges. Each of those is two border-widths longer than the parallel pool dimension.
__
The border width is ...
(10 ft) + 2(3 ft) = 16 ft
The border length is ...
(14 ft) + 2(3 ft) = 20 ft
The perimeter is the sum of the lengths of the four sides. It can be found using the formula ...
P = 2(L +W)
P = 2(20 ft + 16 ft) = 2(36 ft) = 72 ft
The perimeter of the concrete walk is 72 feet.
_____
Additional comment
The term "perimeter of the concrete walk" is actually somewhat ambiguous. It could refer to the total length of all of the edges of the concrete walk. If that is the case, then the 48 foot length of the inside edge must be added to the length of the outside edge for a total of 120 feet. That is, if one were to mark the edges of the walk with tape, for example, 120 feet of tape would be needed.
what is 1/4×2/5÷1/3 as a fraction
please help
Answers
Answer:
3/10
Step-by-step explanation:
Please give brainliest!
hope this helps :)
the first step is to multiply 1/4 and 2/5
1/4 times 2/5 = 2/20
you figure this out by multiplying the numerators and denominators.
next, we solve 2/20 ÷ 1/3
we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions
2/20 times 3/1 = 6/20
6/20 = 3/10
Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.
Answers
The error Kevin made was in step 2 when he added before he multiplied.
What error did Kevin make?
This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:
bracket of division multiplication addition subtractionStep 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66To learn more about addition, please check: https://brainly.com/question/349488
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Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = =x
h(x) = ÷x
Answers
Answer:
h(x) = 1/4 x
Step-by-step explanation:
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....
Answers
The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
How to determine the recursive sequence?The sequence is given as:
50,−10,2,....
The above sequence is a geometric sequence, and it has the following parameters:
First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5This means that the product of the current term and -1/5 gives the next term.
i.e.
[tex]a_n = -\frac{a_{n-1} }{5}[/tex]
Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
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Which Box-and-Whisker Plot below correctly illustrates the data shown below?
{22, 22, 23, 24, 25, 26, 27, 28, 29, 30}
A.
B.
C.
D.
Answers
The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
What is a Box-and-Whisker Plot?A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile.
Here, Given the data set,
30, 22, 22, 27, 28, 23, 24, 25, 26, 23
the five-number summary for the box-and-whisker plot would be:
Minimum: 22
Quartile Q1: 22.75
Median: 24.5
Quartile Q3: 27.25
Maximum: 30
Thus, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
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It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equation, when must you check for extraneous solutions?
A. Sometimes, when u only get one solution
B. Never
C. Always
D. Sometimes, when the variable appears both inside and outside the absolute value expression
Answers
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression
What is an extraneous solution?
An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).
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HELPPPPPP ITS FOR MY FINALLLL
click the photo below
Answers
Answer:
28
Step-by-step explanation:
▪︎ ADE and ABC are similar triangles (AAA)
▪︎ DA = DB + BA = 30 + 12 = 42
▪︎ k = DA / BA = 42 / 12 = 3.5
▪︎ DE = BC * k = 8 * 3.5 = 28
I need help on this urgently please thank you
Answers
Answer:
g(x) = -√(x+6)
Step-by-step explanation:
The inverse of the function y = f(x) can be found by solving for y the relation x = f(y).
__
solve for yx = f(y)
x = y^2 -6
x +6 = y^2 . . . . . . add 6
-√(x +6) = y . . . . . negative square root
The negative root produces y ≤ 0, equivalent to x ≤ 0 for f(x).
The inverse of f is g(x) = -√(x +6).
_____
Additional comment
The graph of a function and its inverse are mirror images of each other across the line y=x. This is shown in the attachment for the f(x) and g(x) in this problem.
In any triangle ABC, if c=30°,b= 4, a=2 find A and B.
Answers
Using the Law of Cosines,
[tex]c^{2}=2^{2}+4^{2}-2(2)(4)(\sin 30^{\circ})\\\\c^{2}=12\\\\c=2\sqrt{3}[/tex]
Using the Law of Sines,
[tex]\frac{\sin A}{a}=\frac{\sin C}{c}\\\\\frac{\sin A}{2}=\frac{\sin 30^{\circ}}{2\sqrt{3}}\\\\\frac{\sin A}{2}=\frac{1}{4\sqrt{3}}\\\\\sin A=\frac{1}{2\sqrt{3}}\\\\A=\boxed{\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
So, as angles in a triangle add to 180 degrees,
[tex]B=180^{\circ}-30^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)\\\\B=\boxed{150^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
help me pls I need to get my grade up before July 11th so help ASAP
Answers
-7x^2+4x+2
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=
Answers
Answer:
can u make it in a sentence cause I don't understand ur question
Answer:
i don't know
Step-by-step explanation:
Germaine measured the height of a plant, H, in centimeters (cm) as a function of days, d, since he planted it in
his yard. The following table shows his data.
d 0 2 4 6 8 10 12
H(d) 8.2 9.6 11.0 12.4 13.8 15.2 16.6
What is the rate of change of the function?
O 1.7 cm per day
O 8.4 cm per day
O 1.4 cm per day
O 0.7 cm per day
Answers
The rate of change of the function the height of a plant is gotten as; D: 0.7
How to find the rate of change?To find the rate of change, we will use the formula;
Rate of change = (y2 - y1)/(x2 - x1)
From the given table, we can solve for the rate of change by picking two consecutive points to get;
Rate of change = (9.6 - 8.2)/(2 - 0)
Rate of change = 1.4/2
Rate of change = 0.7
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Explore
create a dot plot of a sample of the population whose
mean is the same as the population mean.
your sample should have more than six, but fewer than
20 data points.
count
number
2
10
12
8
hean
10
12
8
mean
934
Answers
The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean
How to create the dot plot?The dot plot that completes the question is added as an attachment.
Start by calculating the mean of the data plot using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
Substitute the values on the dot plot
[tex]\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}[/tex]
[tex]\bar x = 7[/tex]
This means that the population mean of the dot plot is 7
Next, we create another dot plot that has the same mean as 7.
There are no direct rules to this, so we make use of the trial by error method.
After several attempts, we have the following frequency table:
Data point Frequency
2 1
3 2
4 0
5 4
6 5
7 2
8 5
9 0
10 2
12 3
The mean of the frequency table is:
[tex]\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}[/tex]
Evaluate
[tex]\bar x = \frac{168}{24}[/tex]
Evaluate the quotient
[tex]\bar x = 7[/tex]
This means that the sample mean is 7 (same as the population mean)
Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)
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Find the midpoint of (6, 4) and (0,2).
Answers
Answer: Hope this helps you.
1,3
Step-by-step explanation:
(6, 4) and (0,2)
4-2/6-0 =2,6 (1,3)
Step-by-step explanation:
please mark me as brainlest
The difference between two numbers is 17 and twice the smaller of these is 26. What are the numbers?
Does anyone know the answer?
Answers
Answer:
13 and 30
Step-by-step explanation:
the smaller of the two numbers is 13.
If there is a 17 number difference, then that means that the second number is 30.
give brainliest, please!
hope this helps :)
help me please i still struggle
Answers
Answer:
59 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angles in a triangle add up to 280 degrees
180 minus 149 is 31
31 add 90 is 121
180 minus 121 is 59
What is the slope of the line that passes through (-2, 7) and (4, 9)
Answers
Answer: The slope is 1/3
Step-by-step explanation:
m = y2-y1/x2-x1
m =9-7/4+2
m=2/6
m=1/3
Answer:
The slope is 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
m=9-7/4-(-2)
m=2/6
m=1/3
A submarine travels 19 degrees west of north. What is its compass heading? PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
NNW(North-northwest)
The required compass heading of the submarine is 341 degrees.
To find the compass heading of the submarine, we need to determine the angle it makes in the north direction, clockwise.
Since the submarine is traveling 19 degrees west of north, the compass heading can be calculated as follows:
Compass Heading = 360 degrees - (Angle west of North)
Compass Heading = 360 degrees - 19 degrees
Compass Heading = 341 degrees
So, the compass heading of the submarine is 341 degrees.
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Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1 quart (32oz) for $14.99is __________b.unit ratio of 1 gallon (128oz) for $45.99is __________c.which is the better deal?
Answers
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
__
a.Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
__
b.Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
__
c.The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
make r the subject and find the value
Answers
[tex]~~~~~~~~\dfrac{1}{R} = \dfrac{1}{R_1} + \dfrac 1{R_2}\\\\\\\implies \dfrac 1{R_2} = \dfrac{1}{R } - \dfrac 1{R_1}\\\\\\\implies \dfrac 1{R_2} = \dfrac{R_1 -R}{RR_1}\\\\\\\implies R_2 = \dfrac{RR_1}{R_1-R}\\\\\\\text{When}~ R= 24~ \Omega ~ \text{and}~ R_1 = 30~ \Omega,\\\\R_2 = \dfrac{24 \times 30}{30-24}~\Omega\\\\\\~~~~~=\dfrac{720}{6}~ \Omega\\\\\\~~~~= 120~ \Omega[/tex]
Simplify the expression 5^3 x 5^-5
A. 5^2
B. 1/5
C. 1/5^2
D. -52
Answers
[tex] {5}^{3} \: \times \: {5}^{ - 5} [/tex]
We first compute the product.[tex] {5}^{ - 2} [/tex]
We can transform the product into positive if we use this formula:[tex] \boxed{ {a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }[/tex]
We apply it:[tex] {5}^{ - 2} \: = \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]
Answer:[tex]\text{Option C.} \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]
MissSpanish24 is 12% of what number?
Answers
Answer:
200
Step-by-step explanation:
(24 x 100) / 12
Answer = 200
To solve this problem you multiply 24 by 100 and then divide the total by 12 as follows: (24 x 100) / 12
Calculate the area of a regular octagon with the side length of 9 feet
Answers
Answer:
A ≈ 391.1 feet
formula to find the area of an octagon is shown below
[tex]area = 2(1 + \sqrt{2} )a { }^{2} [/tex]
what is the length of AB?
choices:
6 units
14 units
10 units
12 units
Answers
Answer:
[tex]\huge\boxed{\sf |AB|=10 \ units}[/tex]
Step-by-step explanation:
Coordinate of A = [tex](x_1,y_1)[/tex] = (-7,-6)
Coordinate of B = [tex](x_2,y_2)[/tex] = (1,0)
We will use distance formula to find the length of AB.
Length of AB:[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB|=\sqrt{(1-(-7))^2+(0-(-6))^2} \\\\|AB|=\sqrt{(1+7)^2+(6)^2} \\\\|AB|=\sqrt{(8)^2+36} \\\\|AB|=\sqrt{64+36} \\\\|AB|=\sqrt{100} \\\\\boxed{|AB|=10 \ units}\\\\\rule[225]{225}{2}[/tex]
Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answers
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
What is the area of triangle ABC?
Answers
Answer: The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height
Step-by-step explanation:
Area of ΔABC= 1/2 × Base × Height = 1/2 × h × BC
If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.
Thus, we have seen the formula and definition of the area of triangle ABC.
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answers
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation: