OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
What is meant by permutations ?
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation:
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
PLEASE HELP!! PLEASE AND THANK YOU!
Answer:
50.05 feet
Step-by-step explanation:
The tower have 32.57 feet, and you can find it using the same method than I used in your other question
Now you find the length of the guy wire using the Pythagorean theorem:
38²+32.57² = guy wire²
2504.8 = guy wire²
guy wire = √2504.8
guy wire = 50.05 feet
there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?
Total number of people = 364
Number of people in 1 van = 12
Number of vans required = ?
Number of vans required = 364 / 12
= 30.33
But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.
=》Answer = option C. 31
______
RainbowSalt2222 ☔
_ please answer this question .
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
This is the point-slope formula.⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
got ub the naswers is 5x+y==6
Step-by-step explanation:
Using the formula find the slope of a line with these two points (2,10) and (5,15).
Answer:
Step-by-step explanation:
[tex]\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}[/tex]
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5, 15 )
m = [tex]\frac{15-10}{5-2}[/tex] = [tex]\frac{5}{3}[/tex]
Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?
Answer:
72%
Step-by-step explanation:
36/50 = 0.72
0.72 x 100 = 72%
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to
deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to
her starting point?
0-12
O-1
05
7
Mark this and return
Save and Exit
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Submit
How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.
The Jupiter is 6.93 times farther from the Sun than Venus
The Saturn is 6.29 times farther from the Sun than Mars
Distance between the sun and Jupiter = 748.02 million km
Distance between the sun and venus = 108.01 million km
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93
Therefore, the Jupiter is 6.93 times farther from the Sun than Venus
Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km
Distance between the Sun and Mars = 235.66 million km
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29
Therefore, the Saturn is 6.29 times farther from the Sun than Mars
Learn more here: https://brainly.com/question/25729845
[tex](8+0+-2²-7)²+7[/tex]
[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]
ok done. Thank to me :>
(X-3)(X-1)
Expand and simplify
[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]
Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0
Answer:
The left side 0 is equal to the right side which means that the given statement is always true.
Step-by-step explanation:
6/7 = x/11 round to nearest tenth
Answer:
66/7 or 9.429 or 9 [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
6/7=x/11
Multiply by 11 to get x alone
Multiply (6/7) by 11 to get 9.42857143=x
could you show me the step please and thank you
[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]
Solve the equation below 2(t+4)=7+5(t-4)
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
Can someone solve plzzz .
Answer:
you have to use multiplication maybe division and addition
Step-by-step explanation:
5.6p-3=-9+2(p+7) in a five step equation.
Answer:
p=2
Step-by-step explanation:
6p-3=-9+2(p+7)
6p-3=-9+2p+14 Distributive Property
6p-3=2p+5 Combine like terms/ Simplify
+3 +3
━━━━━━
6p=2p+8 Addition Property of Equality
-2p -2p
━━━━━━
4p=8 Subtraction Property of Equality
━ ━
4 4
p=4 Division Property of Equality
Translate the situations into equations and solve
The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.
THIS IS URGENT PLS HELP!
Help plzdlkkdkkdkdnnzkzkzkskskeme
Answer:
ofc 8 there are 8 post card ♦️
Answer:
222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
22222222222222222222222222222222222222
2[tex]\frac{3}{5}[/tex] × 3[tex]\frac{1}{3}[/tex]
Answer:
[tex]7\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]
First make these two fractions as improper fractions.
[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]
Now multiply the fractions
[tex]\frac{130}{15}[/tex]
You can divide both sides by 5 to simplify the fraction.
[tex]\frac{26}{3}[/tex]
Now make it as a mixed number.
[tex]7\frac{5}{3}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello there! (:
[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]
Follow these steps to multiply mixed numbers:
Convert them into improper fractions.Multiply. the numerator by the numerator and the denominator by the denominator.Simplify if necessary.Now, how do we convert a mixed number into an improper fraction?
Here are the steps:
Multiply the whole number times the denominator.Add the numerator.Simplify, if necessary.Step 1:
2*5=10
10+3=13
[tex]\frac{13}{5}[/tex]
Now, we do the same to the second fraction:
[tex]\frac{10}{3}[/tex]
[tex]\frac{13}{5} *\frac{10}{3}[/tex]
Step 2. Multiply the numerator times the numerator and the denominator times the denominator:
[tex]\frac{26}{3}[/tex]
Now, let's convert this fraction into a mixed number:
[tex]7\frac{5}{3}[/tex]
Hope it helps you!
If you have any queries, feel free to ask me! (:
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m
Answer:
1 I think can you make sure?
A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container
Answer:
40
Step-by-step explanation:
What is the solution of 2x-5(x-4)=-8+5x-12.
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
express the following as decimal. 25/1000
20/50
3/50
2/3
Answer:
[tex]\frac{25}{1000}[/tex] = 0.025
[tex]\frac{20}{50}[/tex] = 0.4
[tex]\frac{3}{50}[/tex] = 0.06
[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666
two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange
PLZZ HELP EMMMM!!!!
!!!!!!!!!!!!!!
[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?
60
Step-by-step explanation:
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x
The objective function is P = 3x + 5y.
(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.
Answer:
1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...
Step-by-step explanation: