Answer:
19.25 degrees
Step-by-step explanation:
original temperature = 22 degrees
decreased percentage = 12.5 percents
the new temperature = 22 - (22×[12.5÷100])
=22 - (137.5÷50)
=22 - 2.75
=19.25
The following box plot shows the number of books sold each day at a bookstore for 40 days. How many days did the bookstore sell 2 to 12 books?
2
4
10
20
Answer:
20!
Step-by-step explanation:
Did the test and got it correct!
3. The school library has 475 books.
If the librarian buys 12 books a
month for 5 months, how many
books will the school have then!
Answer:
The school will have 535 books.
Step-by-step explanation:
12 books a month * 5 months = 60 additional books.
60 + 475 = 535 books.
Answer:
535
Step-by-step explanation:
12*5 = 60
475 + 60 = 535
\HOPE THIS HELPS
Mrs. culland is finding the center of a circle whose equation is x2 y2 6x 4y – 3 = 0 by completing the square. her work is shown. x2 y2 6x 4y – 3 = 0 x2 6x y2 4y – 3 = 0 (x2 6x) (y2 4y) = 3 (x2 6x 9) (y2 4y 4) = 3 9 4 which completes the work correctly? (x – 3)2 (y – 2)2 = 42, so the center is (3, 2). (x 3)2 (y 2)2 = 42, so the center is (3, 2). (x – 3)2 (y – 2)2 = 42, so the center is (–3, –2). (x 3)2 (y 2)2 = 42, so the center is (–3, –2).
By completing squares, we will see that the center of the given circle is at (-3, -2).
How to find the center of the circle?
The general circle equation centered on (a, b) of radius R is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
In this case, our equation is:
[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]
First, we need to complete squares, we will have:
[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]
Then, by looking at the left side, we can see that the center of the circle is (-3, -2).
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Answer:
d
Step-by-step explanation:
got it right on edge
Solve the following equation by completing the square.
x(x-5)=14
Answer:
[tex]x_1=-2,\: x_2=7[/tex]
Step-by-step explanation:
[tex]x(x-5)=14\\\\x^2-5x=14\\\\x^2-5x+(\frac{-5}{2})^2 =14+(\frac{-5}{2})^2\\\\x^2-5x+\frac{25}{4}=14+\frac{25}{4}\\\\x^2-5x+\frac{25}{4}=\frac{81}{4}\\ \\(x-\frac{5}{2})^2=\frac{81}{4}\\ \\x-\frac{5}{2}=\pm\frac{9}{2}\\ \\x=\frac{5}{2}\pm\frac{9}{2}\\ \\x_1=-2,\: x_2=7[/tex]
if 2sin theta+1=0 and 90°270° calculate a) 4cos²theta. b) 81tan²theta
Answer:
A) [tex]4\cos^2\theta=3[/tex]
B) [tex]81\tan^2\theta=27[/tex]
Step-by-step explanation:
[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]
[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]
[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]
The word geometry has eight letters. Three letters are chosen at random. What is the probability that two consonants and one vowel are chosen? 0. 536 0. 268 0. 179 0. 89.
Answer:
0.179 is the answer yw btw tell me if it's right !!
Write an expression for "the quotient of 9 and
C
Quotient means we have to divide
Here
Dividend is 9Divisor is CSo
Divide
9÷Cor
9/C
Answer:
[tex]\sf \dfrac{9}{C}[/tex]
Step-by-step explanation:
A quotient is produced by dividing two numbers.
"The quotient of a and b" means "a divided by b". So the first number "a" is the numerator, and the second number "b" is the denominator of a fraction.
Therefore, "the quotient of 9 and C" is:
[tex]\sf \dfrac{9}{C}[/tex]
17) Mr. Kim's age
in years is 6 more the 3 times the age of his daughter. Which expression represents Mr. Kim’s age?
Answer:
K = 3D + 6
Step-by-step explanation:
Let Mr Kim's age be denoted by K and his daughter by D.
It states that :
Mr. Kim's age is 6 more (+ 6) than 3 times (× 3) the age of his daughterThen the expression will be :
K = 3D + 6please help me figure out this question
Answer:
scale factor = 2.5
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, polygon P to N
scale factor = [tex]\frac{20}{8}[/tex] = 2.5
Evaluate the expression 2x2+5y2 when x=−4 and y=3.
2x²+5y²
= 2×(-4)²+5×3²
=2×16+5×9
= 32+45
=77
-5 is a(n)
A
whole number and irrational number.
B
integer and rational number.
C
rational number only.
D
integer only.
A ______ is a deduction from the original price of an item.
Answer:
Discount
Step-by-step explanation:
A discount is a deduction from the original price of an item.
If wandas motherly take-home is $3,000 her fixed monthly expenses are $2,575 and get average monthly variable expenses are $855 what is her financial situation?
Can someone help me with this?
Answer:
1. AE= 312
2. AC = 161
Step-by-step explanation:
Hey there!
In order to solve the first question, we need to think of possible "C" values
Then after finding the "C" value, we can then find the "A" and "E" values
So:
AC = 24 and CE = 13
What factors do 24 and 13 have in common?
Well, only 1 since 13 is a prime number]
So this means that C has to be 1
Now we know that A is 24 and E is 13
Now we have to multiply them together
24 x 13 is 312
So AE= 312
Now we go on to the second question
We can use the same strategy we used for number one
Instead of finding what C is, we need to find out what E is, since there is E in both of the statements
So:
CE = 7 and AE = 23
What common factors do these two numbers have?
Again, only 1, meaning that E can only be 1
Now we know that C is 7 and A is 23
Since we know this, we can multiply these two numbers together and get our final answer: 161
So AC = 161
Can you please help me with 12 please?
The expression for the 12 more than half of the postcard will be written as:- P/2+12=P
What is an expression?The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.
here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.
The expression will be written as:-
P/2+12=P
Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P
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whats is the answer to
5.8/3t +6=3.8t+4.32
Answer:
t=0.9
Step-by-step explanation:
Find the radius with a volume of 180 cubic feet. Round your answer to the nearest tenth.
I need help! Quick!
Answer:
3.5 i think
Step-by-step explanation:
r=(3V
4π)⅓=(3·180
4·π)⅓≈3.50263
1) The graph of a quadratic f(x) intersects the x-axis at -2 and 10. What is a possible
equation for f(x)?
fx) =
Answer:
The polynomial f(x) = x^2 - 8x - 20
Which is the simplified form of m^-8p^0
Answer: Heyaa!! ~
Your Answer is... 1/m^8 which is the b or the second answer!
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you!
-Matthew ^^
Please help!
Find the distance between the points.
(-2.5,3),(5,3)
The distance is ____
Answer:
7.5 units
Step-by-step explanation:
since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.
distance = | - 2.5 - 5 | = | - 7.5 | = 7.5
or
distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5
*60 POINTS + BRAINLIEST*
An electronics store is offering a discount of 10% on all items. Rebecca wants to purchase a television priced at $460. The store will deduct the discount and then add sales tax of 6% to the discounted price. How much will Rebecca pay for the television? Write your answer in dollars and cents.
Please help on this question
The congruent parts of the triangle are:
<A ≅ < Y
< B ≅ <Z
< C≅ <X
AB ≅ YZ
AC ≅ YX
BC ≅ ZX
]ABC ≅ YZX
What are the congruent parts?The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.
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Three trains are made of identical train cars, so each car has the same number of seats. The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats. How many cars are in each train if no train has more than 25 seats?
In my system the answer format is like this: There were __ cars in the first train, __ cars in the second train and __ cars in the third train
There were _22_ cars in the first train, _24_ cars in the second train, and _26_ cars in the third train
How many cars are on each train?
We know that the trains have 418, 456, and 494 seats. And are made of the same train cars, so the number of seats on each train car is a common factor of 418, 456 and 494.
We also know that no train car has more than 25 seats.
First, let's decompose the given numbers as a product of prime numbers:
418 = 2*11*19
456 = 2*2*2*3*19
494 = 2*13*19
As you can see, the factors 2 and 19 appear in the 3 numbers, 19 is the largest one that is also smaller than 25, so we conclude that each train car has 19 seats.
Then:
The first train, which has 418 seats, has:
418/19 = 22 train cars.
The second train has 456 seats, so it has:
456/19 = 24 train cars
The third train has 494 seats, so it has:
494/19 = 26 train cars.
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What is the area of this composite figure ?
21 yd
21 yd
10 yd
Answer:
area is 630
we can multiply 2 1 by 21= 63 by 10=630
The fifth-grade classes at Martinez
Elementary School are going to take
a short tethered ride in a hot-air
balloon. The balloon can hold three
students at a time. If there are one
hundred twenty-six students in the
fifth grade, how many rides will have
to be taken in order for every student
to have a turn?
Mr. Crandall ordered three large pizzas
for his fifth graders' Moving Up Day
celebration. If each pizza was divided
into twelfths, how many total slices of
pizza were there?
Answer:
0.6??
Step-by-step explanation:
Im not exact, im guessing 0.6> This is because
8 pizzas = one box (large box small etc..)
Dived 8 by 12. Get annswer 0.6666666666....
Roudn to nearest hundreth.
New answer = 0.6
Hello I need help with this math question
Answer:
c obtuse angle
Step-by-step explanation:
Answer: C, Obtuse Angle
Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.
An acute angle is an angle with LESS than 90 degrees, which is also incorrect.
An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.
A straight angle is just a straight line, which this angle is not.
Does anybody know this?Find the measure of the following arcs.
Answer:
see explanation
Step-by-step explanation:
an arc of a circle is equal to the central angle subtended by the arc
central angle of arc ED = 50° ( vertically opposite angles )
then
arc ED = 50°
the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°
then
arc BC = 90°
the central angle subtended by arc AE = 180° - 50° = 130°
then arc AE = 130°
arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°
Help asap please :)))
Answer:
it will be figure 3
Step-by-step explanation:
it is the odd one of them, with inner concave
help for this question fr
Answer:
(x + 16)° = 141°
Step-by-step explanation:
Given figure is of octagonSum of interior angles of an octagon is 1080°-> 5x° + 455° = 1080°-> 5x° = 1080° - 455°->5x° = 625°-> x° = 625°/5x° = 125°x = 125-> (x + 16)° = (125 + 16)° -> (x + 16)° = 141°