Answer:
x=1
Step-by-step explanation:
55+70=125
sum of angles in a triangle is 180 so
180-125=55
54x+1=55
x=1
Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?
Answer:
Richard gets 15 more sweets than Natasha.
Step-by-step explanation:
Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :
Let ratio be units,
[tex]5 units = 75 sweets[/tex]
[tex]1 unit = 75 \div 5[/tex]
[tex]1 unit = 15 sweets[/tex]
Now we have to find how many sweets does Natasha and Richard has :
Richard (ratio of 3),
[tex]3 units = 15 \times 3[/tex]
[tex]3 units = 45 sweets[/tex]
Natasha (ratio of 2),
[tex]2 units = 15 \times 2[/tex]
[tex]2 units = 30 sweets[/tex]
In order to find how many sweets Richard has more than Natasha, you have to substract :
[tex]45 - 30 = 15 sweets[/tex]
Answer:
15
Step-by-step explanation:
the answer is 15
Unit 5. 9) Please help. A soda can holds approximately 25.5 cubic inches of soda and is 4.8 inches tall. What is the approximate area of its base?
Answer:
5.3125 in^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = Bh
Where B is the area of the base
25.5 = 4.8 B
Divide each side by 4.8
25.5/4.8 = B
5.3125 = B
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
There are 52 cards in the deck.
Picking a spade would be 13/52 which reduces to 1/4
After the first card is picked there are 51 cards left, picking a club would be 13/51
Picking both would be 1/4 x 13/51 = 13/204
The answer is C.
can someone please help me i don’t get this at all!?
Simplify the slope of AC.
Answer:
1
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run, or how much the line rises over a certain amount of sideways movement. In this case, the line AC moves from (0,0) to (a,a), meaning that it rises and moves sideways the same amount. Since a/a=1, the slope of this line is 1. Hope this helps!
Answer:
1
Step-by-step explanation:
Point A is (0, 0) and Point C is (a, a).
The "rise" from A to C is a and the "run from A to C" is also 1.
Thus, the slope of line A is m = rise / run = 1 / 1 = 1.
certain circle can be represented by the following equation.
x^2+y^2+18x+14y+105=0x
2
+y
2
+18x+14y+105=0x, squared, plus, y, squared, plus, 18, x, plus, 14, y, plus, 105, equals, 0
What is the center of this circle ?
((left parenthesis
,,comma
))right parenthesis
What is the radius of this circle ?
units
Answer:
Center of the circle is (-9, -7)
Radius of the circle = 5 units
Step-by-step explanation:
Given question is incomplete: here is the complete question.
Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.
What is the center of this circle ?
What is the radius of this circle ?
Since equation of the circle has been given by the equation,
x² + y² + 18x + 14y + 105 = 0
Now we will convert this equation to the standard form of the circle.
x² + 18x + y² + 14y = -105
[x² + 2(9)x] + [y² + 2(7)x] = -105
[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105
(x + 9)² + (y + 7)² = 81 + 49 - 105
(x + 9)² + (y + 7)² = 25
(x + 9)² + (y + 7)² = 5²
By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²
Center of the circle is (-9, -7) and radius of the circle is 5 units.
Answer:
(-4.8)
7 unit
i just did the test
Step-by-step explanation:
graph the circle x^2+y^2+2x+4y-44=0
plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:
1. Complete the square for the x-terms:
Rearrange the equation to group the x-terms together:
x^2 + 2x + y^2 + 4y = 44
To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:
x^2 + 2x + 1 + y^2 + 4y = 44 + 1
Simplify:
(x + 1)^2 + y^2 + 4y = 45
2. Complete the square for the y-terms:
To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:
(x + 1)^2 + y^2 + 4y + 4 = 45 + 4
Simplify:
(x + 1)^2 + (y + 2)^2 = 49
3. Identify the center and radius:
The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2
Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.
4. Plot the graph:
The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.
By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
For more questions on circle .
https://brainly.com/question/28162977
#SPJ8
Note the full question may be:
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.
(x-3)(x+5) the product
Answer:
x^2 +2x -15
Step-by-step explanation:
FOIL
(x-3)(x+5)
first x*x = x^2
outer 5x
inner -3x
last -3*5 = -15
Add them together
x^2 +5x-3x-15
Combine like terms
x^2 +2x -15
Please Help! ASAP! WIll give Brainliest
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
x/2 = 12.5/5
5 · x = 12.5 · 2
5x = 25
5x / 5 = 25 / 5
x = 5
Step-by-step explanation:
The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?
Answer:
210 adult tickets were sold
Step-by-step explanation:
let x be the number of adult tickets sold
let y be the number of children tickets sold
x+y=260 equation 1
9x+5y=2140 equation 2
multiply equation 1 by 5
multiply equation 2 by 1
5x+5y=1300
9x+5y=2140
subtract equation 1 from 2
4x=840
x=840/4 =210 tickets
substitute for x in equation 1
210+y=260
y=260-210=50
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Answer: 0.182
Step-by-step explanation:
For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:
p1 = 5/(6 + 5) = 5/11
In the second selection we have the same equation, but now we have 4 milk chocolate bars (because one is alredy taken)
p2 = 4/(4 + 6) = 4/10
the joint probability is:
P = p1*p2 = (5/11)*(4/10) = 0.182
Given a triangle with b = 7, C = 3, and A = 37° what is the length of a? Round to the nearest tenth.
a. 4.9
b.5.9
c.5.5 d. 4.3
Answer: 4.9
Step-by-step explanation:
Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other venues.
A circle graph titled School trip location. 40 percent is a, 20 percent is b, 13 percent is c, 27 percent is d.
The circle graph shows the data from the table, but the labels are missing.
Choose the correct labels.
a =
b =
c =
d =
Answer:
a = state capital
b = nature center
c = museum
d = other
Step-by-step explanation:
Answer:
other person is correct
Step-by-step explanation:
J/-2 + 7 = -12 Please help guys!
Answer:
J=17
Step-by-step explanation:
J/-2 + 7 = -12
multiply both sides by -2 to cancel out the J/-2 and turn it into J + 7 = 24
transfer the 7 to the other side to get J = 24 - 7
J = 17
hopefully this helps.
A diver dives to 50 feet in 10 minutes, stays there for 30 minutes, and then resurfaces in 10 minutes. Click on the graph until the graph that best represents the given statement appears.
Answer:
50x5
Step-by-step explanation:
The question is an illustration of a distance-time graph.
From the question, we have the following highlights
The distance in the first 10 minutes is 50 feet. i.e. (10, 50)He stays at 50 feet for 30 minutes i.e. (40, 50)Then comes out after 10 minutes i.e. (50, 0)The graphs are not given, so I will attach the graph that represents the scenario.
See attachment for the graph that answers the question.
Read more about distance-time graphs at:
https://brainly.com/question/19836052
Sid starts with savings of £13
Tim starts with no savings
Each week from now,
- Sid will save £3.50 and Tim will save £3
In how many weeks will Sid and Tim have savings in the ratio 17 : 9
Your final line must say, 17 : 9 in weeks
Answer:
after 6 weeks
Step-by-step explanation:
Sid and Tim starts saving each week.
Sid starts his savings with initial amount of £13.00
Tim starts his saving with initial amount of £00.00
Each week from now Sid will save = £3.50
Tim will save each week = £3.00
Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)
and the amount of Tim's saving after x weeks = £ (3x)
The ratio of their savings in x weeks would be = 17 : 9
Now the expression we get,
(13 + 3.50x) : (3x) = 17 : 9
[tex]\frac{13+3.50x}{3x}=\frac{17}{9}[/tex]
9(13 + 3.50x) = 17(3x)
117 + 31.5x = 51x
117 = 51x - 31.5x
117 = 19.5x
[tex]x=\frac{117}{19.5}[/tex]
x = 6
After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.
what does this expression represent five times the quotient of some number and ten
Answer:
5(n/10)
Step-by-step explanation:
quotient of some number and ten=n/10
five time=*5
put it togther=5(n/10)
x + 18 greater than or equals 26
Answer:
x + 18 ≥ 26
Step-by-step explanation:
"greater than or equals": ≥
x + 18 ≥ 26 is your answer.
If you are trying to solve it so you isolate x, subtract 18 from both sides:
x + 18 (-18) ≥ 26 (-18)
x ≥ 26 - 18
x ≥ 8
x ≥ 8 is your answer.
~
Answer:
x+18 ≥ 26
Step-by-step explanation:
≤ is the less than or equals sign
≥ is the greater than or equals sign
x+18 ≥ 26
(This also means x must be ≥ 8)
hey can anyone help me in dis!!!!!!!!
Answer:
the red is longer
Step-by-step explanation:
pls help me i am confused on what to do
Answer:
x=20
Step-by-step explanation:
you cross multiply then divide. so multiply 8 and 30. you get 240. then you multiply 12 and x. you get 12x. so your new equation is 240=12x so then u divide 240 by 12 and you get 20=z
Answer:
X=20
Step-by-step explanation:
You solve by cross multiplying.
Translate the difference of a number and 7 is -8 into an equation.
Answer:
-1
Step-by-step explanation:
7 - 8 = -1
hope its helpful
Answer:
n - 7 = -8
Step-by-step explanation:
please help quickly !
Answer:2490-2312=w; w=178 so 178 pounds
Step-by-step explanation:
Answer:
hey!
Your answer is 178 pounds!!
Step-by-step explanation:
by doing 2490lb-2312lb gives us the value of w
soo w=178 pounds!!
HOPE THIS HELPS!!
Pound: 1/2 __ 5 Ounces: __ 32 __
Answer:
pounds - ½, 2, 5
ounces - 8, 32, 80
Step-by-step explanation:
Miguelito vende camisas de vestir . En el local le cobran $150 de alquiler; comprq cada camisa en $3.00 y la vende en $5.00. Cuanto es el numero minimo de camisas que debe vender para tener ganancias.
Answer:
[tex]x_{min} = 75\,camisas[/tex]
Step-by-step explanation:
El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):
[tex]x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}[/tex]
[tex]x_{min} = 75\,camisas[/tex]
Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)
xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes
Can someone help me on this
Answer:
1. C) quadratic
2. b) exponential
Step-by-step explanation:
basic trigonometry question, picture attached please help
Simplify the expression:
6V + 10 - V
Answer:
5V + 10
Step-by-step explanation:
Add the like terms.
-5v - 4
If you add the like terms this is what you get
A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where they started. The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25. A positive number indicates moving the ball forward, and a negative number indicates moving the ball backward. 1). Which number in the list is the greatest? 2). What is a better question to ask to find out which play went the farthest from where the team started? 3). The coach considers any play that moves the team more than 4 yards from where they started a "big play." Which play(s) are big plays?
Answer:
Given:
The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.
Solved:
1. The greatest number is 25
2. If the moved distances are square, which one is largest?
3. The move which is greater than 4 is considered "big play"
=> 21 and 25 are big play (21 > 4, 25 > 4)
Hope this helps!
:)
Which solution set is graphed on the number line?
Answer:
An inequality, such as x>2 can be graphed on the number line.
Step-by-step explanation:
An inequality, such as x>2 can be graphed on the number line. An open circle as a stating point, indicates the number is NOT included in the solution. Where as a closed circle or "dot" indicates the number IS included in the solution.
Answer:
An inequality, such as x>2 can be graphed on the number line.
Step-by-step explanation: