The value of x in the proportion below is option 1 3 1/2.
What is butterfly method?When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.
What is proportion?An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.
The given proportion is:
[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]
Using the method of cross-product or butterfly method:
[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]
The value of x is 3.5. Converting this value into mixed fraction:
3.5 = 3 1/2
Hence, the value of x in the proportion below is option 1 3 1/2.
Learn more about proportion here:
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PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
Please find X. I need help!
There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have
2/3 = (2 + x) / (3 + (x + 7))
Solve for x :
2/3 = (2 + x) / (10 + x)
2 (10 + x) = 3 (2 + x)
20 + 2x = 6 + 3x
14 = x
What is the quotient of -32/8?
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?
Answer:
-1.34
Step-by-step explanation:
Slove 4(5x-2)= 2(9x+3)
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
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It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?
Answer:
8 degrees
Step-by-step explanation:
The temperature was -7 and then rose by 15, -7 +15 = 8
why is number multiplied by it self called a square of a number
Answer:
Because it is 2 of the same number.
Step-by-step explanation:
Answer:
I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.
Step-by-step explanation:
I hope this helps. Have a good day! :)
evaluate this
| 5+-3-2 |
Answer:
0 is the answer
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
5+-3= -2
-2-2=0
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.
Answer:
yes
Step-by-step explanation:
3xsquared +13x-10
HELPP PLEASE
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
what is the next 3 terms for (-6,42,-294,2058)
Answer:
es
Step-by-step explanation:
Answer:
A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.
Step-by-step explanation:
Non example of complex fraction.
Answer:
42/6
Step-by-step explanation:
:P
5 tomatoes divided into $3.10
Answer:
0.62
Step-by-step explanation:
3.1 divided by 5
.............................
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.
Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
SOHCAHTOAHorizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
Total horizontal distance = opposite = (d + 0.6) miles Vertical distance = Adjacent = 2.5 MilesTo obtain the angle of depression, q :
Tanθ = opposite / Adjacent[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]Learn more : https://brainly.com/question/17350482
A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?
Answer: No its not a right angled triangle. Please mark as brainliest!
Answer:
Yes
Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse
What is the value of x in the equation below?
-3-(-8)-(-2)= X
-13
3
ОО
Answer:
log2 8=c
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-3-(-8)-(-2)=
-3+8+2=
7
I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME
Answer:
9
Step-by-step explanation:
someone help me on my homework before i lose my sanity pls its my most recent question im done <3
Which one should I choose
Answer:
4th one please give me brainliest
Step-by-step explanation:
Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
Answer:
6=-4x+b
Step-by-step explanation:
You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
what is the constant of proportionality of p=5a
Answer:
=5x
Step-by-step explanation:
your question might have a different variable witch is the letter at the end
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
Answer:
the input is the number or gallons aka b
the output is the balance in the account aka c
and the two points described are (5,442) and (13,226) aka c
Step-by-step explanation:
i did it on edge and got it right :)
Answer:
here the answer
Step-by-step explanation:
PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *
what 3+6+9
answer 4 pointss
ayo the answer is 18.
Answer:
3+6+9
9+9= 18
Therefore 3+6+9=18
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answer:
40,000 songs, I think
Step-by-step explanation:
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answer:
576.97
Squared
Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm