Answer:
16
Step-by-step explanation:
If 3 x 4 = 12 then you need to do the same to the number 4 so 4 x 4 =16
Answer:
3 : 4 :: 12 : x proportion 3x = 48 product means/extremes Can you solve for x and answer?
(If not look below.)
Step-by-step explanation:
ratio: 3:4
so divide 12 by 3=4
and multiply 4 by 4=16
your friend sells 16 tickets
ratio is now 12:16
4 : 3 = 12 : x
x = 12 * 4 / 3 = 16
LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ is 16cm^2. Work out the area of triangle
Answer:
The area of LQM is [tex]48cm^2[/tex]
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * PN[/tex]
Substitute 8 for Area
[tex]8 = \frac{1}{2} * PQ * PN[/tex]
[tex]PQ * PN = 16[/tex]
The area of LPQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * LP[/tex]
Substitute 16 for Area
[tex]16= \frac{1}{2} * PQ * LP[/tex]
From the attachment:
[tex]PN + LP =LN[/tex]
Make LP the subject
[tex]LP = LN -PN[/tex]
So:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]
We have:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]
Equate both expressions:
[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]
Divide both sides by PQ
[tex]\frac{1}{2} (LN - PN) = PN[/tex]
Multiply both sides by 2
[tex]LN - PN = 2PN[/tex]
[tex]LN= 3PN[/tex]
Since PNQ is similar to LNM, the following equivalent ratios exist:
[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]
Substitute [tex]LN= 3PN[/tex]
[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]
[tex]\frac{LM}{PQ} = 3[/tex]
[tex]LM = 3PQ[/tex]
Area of LQM is:
[tex]Area = \frac{1}{2} * LM * LP[/tex]
This gives:
[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]
[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]
Recall that:
[tex]16= \frac{1}{2} * PQ * LP[/tex]
So:
[tex]Area = 3 *16[/tex]
[tex]Area = 48cm^2[/tex]
Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.
9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
Using the digits 1, 3, 5, 7 at most once, you can make many three-digit numbers. What is the maximum possible sum of two such distinct numbers?
Answer:
1504
Step-by-step explanation:
Given the digits :
1, 3, 5, 7
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
Highest three digit number = 753
Next highest = 751
The sum of these two. Values gives :
753 + 751 = 1504
If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?
Answer:
[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
Step-by-step explanation:
Multiply both sides: by x+c
a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)
Simplify: a(x+c)=b-2x
Expand: ax+ac=b-2x
Subtract ac from both sides: ax+ac-ac=b-2x-ac
Simplify: ax=b-2x-ac
Add 2x to both sides: ax+2x=b-2x-ac+2x
Simplify: ax+2x=b-ac
Factor ax+2x: x(a+2)
x(a+2)=b-ac
Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2
Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
4=2/9x A) 6 B) 9 C) 15 D) 18
Answer:
D. 18
Step-by-step explanation:
multiply both sides by 9/2, the reciprocal of 2/9.4×(9/2)=x
express 4×(9/2) as a single fraction.4×9/2=x
multiply 4 and 9 to get 36.36/2=x
divide 36 by 2 to get 18.18=x
swap sides so that all variable terms are on the left hand side.x=18
Answer:
D 18
Step-by-step explanation:
you devide 4 by 2/9 and get your answer
1) how many 1/4's are in 2/3?
2) how many 5/12's are in 1/2?
Answer:
1) how many 1/4's are in 2/3 = 8/3
2) how many 5/12's are in 1/2?=6/5
Step-by-step explanation:
The money used in Tajikistan is called the Somoni. The exchange rate is $7 = 22 Somoni. Find how many dollars you would receive if you exchanged 66 Somoni.
A: $207.43
B: $21
C: $16
D: $18
Answer:
B: $21
Step-by-step explanation:
An angle measures (2x + 11).
. What is the measure of an angle that is vertical to the given angle?
Please help ASAP
The required measure of a vertical angle is given as 2x + 11.
An angle measures (2x + 11). The measure of an angle that is vertical to the given angle is to be determined.
What is the angle?orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
The measure of angle remains the same because vertical angles are always equal for the two intersecting lines.
Thus, the required measure of a vertical angle is given as 2x + 11.
Learn more about Angles here:
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What is the value of x in the equation (x/5) - 1 = 5.2
I need the work btw
Answer: 31
Step-by-step explanation:
(x/5) - 1 = 5.2
x/5 = 6.2
x = 6.2 x 5
x = 31
Answer:
To find
=>The value of x in the Equation => (X/5)-1=5.2
Step-by-step explanation:
(X/5)-1 =5.2
(X/5)= 5.2+1
x/5=6.2
X= 6.2*5
X=31
name three solutions of the inequality of z < 4
the answer is: 1,2,3
the inequality represents less than, meaning the value of z is less than 4
which leaves us with 3 numbers, 1, 2 and 3
Convert the mixed number into an improper fraction: 3 2/9
72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES? HOW DO I SHOW MY WORK FOR THAT???!!!!!
correct=brainliest
Answer:
72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .
Step-by-step explanation:
An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
2. 35 degree.
Answer:
35°, 35°
Step-by-step explanation:
An isosceles triangle has 2 congruent angles.
The sum of the measures of the angles of a triangle is 180°.
A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.
That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.
x + x + 110 = 180
2x + 110 = 180
2x = 70
x = 35
Answer: 35°, 35°
Simplify the expression: ∣∣112 − 56∣∣ − (25 + 110)
The answer should be -79
Given that,
The equation is ∣∣112 − 56∣∣ − (25 + 110).Based on the above information, the calculation is as follows:
= (112 - 56) - (25 + 110)
= 56 -135
= -79
Learn more: brainly.com/question/17429689
Answer:
1/4
Step-by-step explanation:
I got it right
What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5
Answer:
52 4/5
Have a nice day! :)
Can someone please help me with this math question
Answer:
The answer would be D
Step-by-step explanation:
Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A
There is no such thing as a constant correlation so we can eliminate answer choice C
As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.
this is also notable from looking at the graph .
What percent of 50 is 36?
Answer:
72%
Step-by-step explanation:
%/100 = is/of Write formula
x/100 = 36/50 Substitute known values
50x=3600 Cross multiply
/50 /50 Divide both sides by 50 to isolate x
x =72
86% of a university's freshman class are majoring in Computer Science. If 8514 students in the freshman class are Computer Science majors, how many students are in the freshman class?
Answer:
9900 Students
Step-by-step explanation:
Divide 8513 by .86 to show the rest of the freshman class.
You can check by doing 9900 times .86 to see %86 of 9900
Total there are 9900 students are in the freshman class.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 86% of a university's freshman class are majoring in Computer Science.
8514 students in the freshman class are Computer Science majors.
Let the number of students are in the freshman class be x.
Here, 86% of x=8514
86/100 ×x=8514
86x=851400
x=851400/86
x=9900
Therefore, total there are 9900 students are in the freshman class.
To learn more about the percentage visit:
brainly.com/question/24159063.
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the value of x varies directly with y and inversely with z. when x=4,and y=12, z=6. what is the value of k?
A. K=6
B. K=2
C. K=18
D. K=288
Answer:
B
Step-by-step explanation:
Given x varies directly with y and inversely with z then the equation relating them is
x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation
To find k use the condition when x = 4 and y = 12, z = 6 , then
4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )
24 = 12k ( divide both sides by 12 )
2 = k → B
The value of the constant 'k' will be 2. Then the correct option is C.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The value of x varies directly with y and inversely with z. Then the proportionality is written as,
x ∝ y ...1
x ∝ 1 / z ...2
Then the combined proportionality is given as,
x ∝ y / z
x = ky / z
At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,
4 = 12k / 6
Simplify the equation, then the value of the constant 'k' is calculated as,
4 = 12k / 6
4 = 2k
k = 4 / 2
k = 2
The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.
More about the ratio and the proportion link is given below.
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Help asap! I really need some help here!!!
Answer: 9 ft2
Step-by-step explanation:
i took that test yesterday
Read aloude What fraction of the jug did the three boys drink at the soccer game?
Answer:
1/3
Step-by-step explanation:
if all the boys drank out of the jug than the fraction would be 1/3
1/3+1/3+1/3=1
Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)
b.8(x - y + 12)
c.4xy(2x - 2y + 5)
d.4(2x - y + 5)
Use the course calculator to solve this problem:
8 + 17 × 26
Answer:
450
Step-by-step explanation:
8+17=25
25x26=450
Answer: 500
Step-by-step explanation:
You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.
Please help
-2x = x - 15
Answer: x=5
Step-by-step explanation:
subtract x from both sides
-2x-x=x-15-x
-3x=15
then divide both sides by -3
-3x=-15
-3x -3
x=5
hope this helps! please mark as brainliest! Thanks
13) Which set of values is a function?
*
Answer:
The first option
Step-by-step explanation:
The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?
A. x(x+2)/x-2
B. x+2/x(x+2)
C. x-2/x(x-2)
D. x-2/x(x+2)
Classify the triangle by its sides:
17 cm, 5 cm, 13 cm?
Answer:
13 cm i think.
Step-by-step explanation:
WILL GIVE BRAIN IF CORRECT
i. c b a
ii. e d f
iii. h i g
hope this helps
now give me your brain lol
Answer:
1. (<A) > (<B) > (<C)
2. (<F) > (<D) > (<E)
3. (<H) > (<I) > (<G)
Step-by-step explanation:
The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:
(1)
CB > AC > AB
4.4 > 3.1 > 2.7
(<A) > (<B) > (<C)
(2)
DE > FE > DF
(x) > (x-3) > (x-5)
(<F) > (<D) > (<E)
(3)
GI > GH > HI
(21x) > (14x) > (13x)
(<H) > (<I) > (<G)
Solve for the variable x.
X=25
X=10
X=-25
X=11.66667
Answer:
Its 10 I think i could be wrong.
Step-by-step explanation:
what is the mean, median, mode and range of 7, 2, 1, 4, 1 (PLS DO NOT PUT ANY LINKS I AM USING THIS APP FOR HELP NOT FOR SCAM LINKS)
Answer:
Mean: 3
Median: 2
Mode: 1
Range: 6
Step-by-step explanation:
1.) The mean is the average of all the numbers. To find it, you add up all the numbers and then divide that by the amount of numbers. So, you would do: 7 + 2 + 1 + 4 + 1 = 15
15 ÷ 5 = 3
The mean is 3.
2.) The median is the middle number. In order to find it, you must put all the numbers in order:
1, 1, 2, 4, 7
The middle number is 2, so the median is 2.
3.) Mode is the number that appears the most often. Because 1 appears twice and the rest only appear once, the mode is 1.
4.) The range is the difference between the biggest and smallest numbers. Since 7 is the biggest number and 1 is the smallest, you would subtract them. 7-1 is 6, so the range would be 6.