Answer:
[tex]\frac{5}{4} :1[/tex]
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
Lets say there's a ratio given - a : b. In fractional form , it can be also written as = [tex]\frac{a}{b}[/tex]
__________________________________________________________
5 : 4 can be written as [tex]\frac{5}{4}[/tex] .
Any number when divided by 1 , the quotient is the number itself.
If [tex]\frac{5}{4}[/tex] is divided by 1 , then the quotient will be [tex]\frac{5}{4}[/tex].
[tex]=> \frac{\frac{5}{4}}{1} = \frac{5}{4}[/tex]
[tex]=> \frac{5}{4} : 1 = 5:4[/tex]
∴ Hence , 5 : 4 can be written as [tex]\frac{5}{4} : 1[/tex] .
If a ratio is in the form of [tex]\frac{p}{q}[/tex],
"To get 1 in the denominator, we will divide the numerator and denominator by q"
Therefore, expression will be → [tex]\frac{\frac{p}{q}}{\frac{q}{q}}=\frac{\frac{p}{q}}{1}[/tex]
Following the same rule in the given ratio 5 : 4,
[tex]\frac{5}{4}=\frac{\frac{5}{4}}{\frac{4}{4}}=\frac{1.25}{1}[/tex]
Therefore, 5 : 4 :: 1.25 : 1
Learn more,
https://brainly.com/question/17197363
a shoe store stocks 3 pairs if boots for every 5 pairs of athletic shoes
Answer:
whats the question
Step-by-step explanation:
will mark brainiest pls just lmk
Answer:
If asking for the distance, the answer would be C.
1. A store sells bananas according to the table shown below.
AR
ents of
Reading
Pounds of
Bananas, b
Cost ($), c
2
1.60
b
5
4.00
8
6.40
Which statement is best supported by the information in the table?
Answer:
That each pound of bananas is .80¢
Gary randomly chose an item from the following to
Answer:
Ice Cream= 2/7
Soccer: 3/14
Book= 5/14
Coin= 1/7
Which number is divisible by 2, 3, and 5?
A. 2025
B 3100
C945
Db1230
Answer:
D: 1230
Step-by-step explanation:
1,230 is divisible by 2, 3 and 5
Solve for x and round to the nearest tenth
Answer:
x = 6.0
Step-by-step explanation:
Given:
Line AB is the hypotenuse
50.1 degrees is an angle
90 degrees is a right angle
Line CB is x and is opposite to the 50.1 degree angle
Line AC is 5 and is adjacent to the 50.1 degree angle
We know we have angles of 50.1 degrees and 90 degrees
We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees
Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj
We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj
tan(50.1) = x/5
x = 5.9979
or
tan(angle) = opp/adj
tan(39.9) = 5/x
x = 5.9979
Round to the nearest tenth:
x = 6.0
Find the area of this figure
Area of triangle
a = 6 ft + 2 ft + 2ft = 10 ft
h = 12 ft
½ * 10 ft * 12 ft = 60 sq ft
Area of square :
a = 6 ft
6 ft * 6 ft = 36 sq ft
Area of this figure :
60 + 36 = 96 sq ft
Answer:
156 ft
Step-by-step explanation: (This does not seem to be in scale)
1. Split into one triangle and one square
2. Find triangle area
12 * 10 = 120 ft
3. Find square area
6 * 6 = 36 ft
4. Area = Atriangle + Asquare
120 + 36 = 156 ft
What is the only difference when solving inequalities?
Answer:
If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Step-by-step explanation:
Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
144 pages in 3 minutes as a unit rate
A submarine 58 feet below see level. An a airplane is 264 feet above sea level. How far above is the submarine in the plane?
Answer:
322
Step-by-step explanation:
58+264=322
Answer:
322 feet
Step-by-step explanation:
if the question was two positive heights, you would subtract, and you still do. we find how many inches my father is taller than me by subtracting my height from his, and the same applies to this, though the submarine, being below sea level is at a negative height. when you subtract a negative, it's the same as adding a positive.
264 - (-58)
264 + 58 = 322
What is the unit rate for the Japanese bullet train?
558 x 3 = 1674 miles per hour
558 / 3 = 186 miles per hour
PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP
Answer:
186 Miles per hour.
Step-by-step explanation:
558/3
Find the missing side. Round your answer to the nearest tenth.
Please help me!!!!
Answer:7.8
Step-by-step explanation:
If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?
Answer: X = -9
Step-by-step explanation:
You can set up a ratio to solve this.
208/13 = -144/x
208x=-1872
x = -9
[tex]\mathbb{ANSWER:}[/tex]
Step 1: Write the equation of variation
[tex]\sf y \propto x[/tex][tex]\sf y = kx[/tex]Step 2: Solve for k or the constant of proportionality
[tex]\sf 208 = k(13)[/tex][tex]\sf \frac{208}{13} = \frac{k(13)}{13}[/tex][tex]\sf k = 16[/tex]Step 3: Solve for x
[tex]\sf -144 = 16x[/tex][tex]\sf \frac{-144}{16} = \frac{16x}{16}[/tex][tex]\sf x = \boxed{\sf -9}[/tex]Select all the statements that are true about rhombus MNPQ.
Answer:
your answer will be option A and B
Step-by-step explanation:
hope it helps u
have a wonderful day/night
M=7 n=-2 p=4 i really don’t knwo
Answer:
-70
Step-by-step explanation:
m = 7
n = -2
p = 4
[tex]\frac{10mn}{3p-10} \\\\\frac{10(7)(-2)}{3(4)-10} \\\\\frac{70(-2)}{12-10} \\\\\frac{-140}{2} \\\\-70[/tex]
Answer:
-70
Step-by-step explanation:
First we have to substitute the variables for numbers:
10(7)(-2) / 3(4) - 10
Simplify:
-140 / 12 - 10
Now we solve it:
-140 / 2 = -70
Hope this helps :)
Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?
Answer:
32
Step-by-step explanation:
Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:
Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.Centroid (i.e. O) is a point of concurrency of the triangle.By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)
Also, note that:
Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:
Thus:
G = centroid (given)
AB = 6 units (given)
FA = 5 units (given)
EA = EC (equal sides of isosceles triangle)
Therefore:EF = FA = 5 units
EA = EF + FA
SubstituteEA = 5 + 5
EA = 10 units
EC = EA (equal sides of isosceles)
EC = 10 units
AB = CB = 6 units
AC = AB + CB
SubstituteAC = 6 + 6
AC = 12 units
Perimeter of triangle AEC = AC + EA + EC
SubstitutePerimeter of triangle AEC = 12 + 10 + 10 = 32 units
Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
Learn more about centroid of a triangle here:
https://brainly.com/question/350143
WILL GIVE BRAINLIEST!! The data set {2,5,q,10,13,16} has mean x¯=9
Find the value of q
Answer:
#3. 8Step-by-step explanation:
Frequency of data
6Sum of data:
2 + 5 + q + 10 + 13 + 16 = 46 + qSum of data as per mean and frequencies:
9*6 = 54Compare the sums:
46 + q = 54q = 54 - 46q = 8Correct choice is #3. 8
HEY JUST LETTING EVERYONE KNOW DO NOT CLICK ON LINKS THEY ARE NOT AN ANSWER TO YOUR QUESTION STAY SAFE
Answer:thanks :)
Step-by-step explanation:
Answer:
Thx or the notice and free points
THIS IS TRUE NOT FAKE
WARNING!!!
Step-by-step explanation:
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle.
Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
in a circular garden the distance from the center of the circle to the edge is 15ft . If a gardner wants to plant roses in a 60 degrees sector of the circle , what is the area of the rose garden
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²
Which equation can be used to represent the data in this table?
y=x−2
y = x + 2
y=12x
y = 2x please answer NOW IF YOU ARE IN K12 PLEASE HELP ME AND IF YOU NOW THE ANSWER I PROMISE I WILL GIVE BRANLIEST BUT PLEASE THIS ID FOR PEOPLE IN K12 OR IT DOESNT MATTER AT ALL IF YOU ARENT K12 AND YOU NOW THE ANSWER
ant Answer:
y=2x
Step-by-step explanation:
y=2x because you go up 2 and 1 to the right meaning, 2 x and 1 y
Using the Distance Formula
For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)
Answer:
Step-by-step explanation:
since I did 1 already , i'll do 2 - 6 .. fast
using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]
2) sq rt [ (6-1)^2 + (14-2)^2
sq rt [ 25 + 144]
sq rt [ 169]
13
3) sq rt [ (15 - 8)^2 + (35-11)^2 ]
sq rt [ 49 + 576 ]
sq rt [625]
25
4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]
sq rt [ 64 + 225]
sq rt [ 289]
17
5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]
sq rt[ (-1+2)^2 + (-4+3)^2]
sq rt [ 1 + 1 ]
[tex]\sqrt{2}[/tex]
6) sq rt [ 3-(-3)^2 + (5-5)^2]
sq rt [ (3+3)^2 + 0]
sq rt [ 9 ]
3
:) phew.... :P
Mary had $70 to spend on 6 books. After buying them she had $16 left. How much did each book cost? Write an equation and show your work.
Answer:
9
Step-by-step explanation:
(70-16)/6=9
/ = division
Es el máximo común divisor de 48 y 36 es
Answer:
12
Step-by-step explanation:
48: 1, 48, 2, 24, 3, 16, 4, 12, 6, 8
36: 1, 36, 2, 18, 3, 12, 4, 9, 6
GCF, aka maximo comun divisor = 12
Answer:
12 (lo siento si está mal)
Step-by-step explanation:
please help. 5 points!
A container of disinfectant wipes is in the shape of a cylinder. The cylinder has a DIAMETER of 3 inches and a height of 8 inches.
Calculate the volume of the container.
V = π r 2 h
3. The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players. The model, represented by y = 0.1x – 1.5, is graphed with a scatter plot.
hits
home runs
predicted home runs
12
2
0.3
22
1
1.8
154
26
21.6
145
11
20.3
110
16
15
57
3
7.1
149
17
20.9
29
2
2.9
13
1
0.5
18
1
1.2
86
15
11.4
163
31
23
115
13
15.8
57
16
7.1
96
10
12.9
Use the graph and the table to answer the questions.
a. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?
Answer: 12
Step-by-step explanation:
Find the deference between
simple etablerst and compoun
interest on 24000 at 10% for
2 years.
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520
Please PLEASE help me!!!
Find AC
Answer:
AC=AB+BC
x=1+9/3
x =4
Ac = 3(4)+1 + 9
Ac = 12+1+9
Ac= 22
Determine whether each given expression is equivalent to 6 x 4 1/2 or is not equivalent by checking the appeopriate box in the table below
А 6 x 4 + 2
B 6x5-1/2
C 6x4+6x1/2
D 6 x 5-6x1/2