An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?
what is 4(6-1) distributive property?
Answer:
4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20
Step-by-step explanation:
Multiply 4 by each of the numbers inside the parentheses.
4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20
Answer: 24-4
Explanation: 4(6-1)
4x6=24
4x-1=-1
24-4
Help me asp please
Answer:
1) power is 8
3) power is 11
Answer:
31^8
1^11
count how many numbers there are then put ^ and the number then the number of the number at the end sorry for my bad explenation
Step-by-step explanation:
The table describes some of the solutions of the inequality 3> 21.which graph best describes the solution of 3m > 21
This is the correct answer
This inequality will be represented by an arrow starting from 7 and directed towards the right. Option 3 will be the correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given inequality is,
3m [tex]\geq[/tex] 21
To find the solutions to the given inequality solve this inequality first.
3m/3 [tex]\geq[/tex] 21/3
m [tex]\geq[/tex] 7
This inequality will be represented by an arrow starting from 7 and directed towards the right.
Since, inequality is having a sign notation of greater than equal to, the arrow will start with a dark circle located at 7.
Therefore, Option 3 will be the correct answer.
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HELP!!!
Find the length of side x in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
Square root of 2
HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!
Which fraction represents the solution to -6/5 divided by (-3/25) in simplest form?
A.) -10
B.) -12/125
C.) 10
D.) 18/125
Answer:
C
Step-by-step explanation:
-6/5 ÷ -3/25
~Copy Dot Flip
-6/5 * -25/3
~Multiply
150/15
~Simplify
10
Best of Luck!
Answer: Your is answer is C.
Step-by-step explanation:
x²-11x+28 please answer
(4x 10) + (5x2) + (7 x 1 10) + (8 160) = ?
Answer:
It's 45.78
Step-by-step explanation:
4 x 10 = 40
5 x 1 = 5
7 x 1/10 = 0.7
8 x 1/100 = 0.08
add them all together and you get 45.78
Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 + . . .
Answer:
The sum of the first 6 terms of the inifinite series is -21.
Step-by-step explanation:
Following the sequence, we can see that each term is the previous term multiplied by -2. So, the first six terms are:
1, -2, 4, -8, 16, -32
The sum is:
1 - 2 + 4 - 8 + 16 - 32 = -1 - 4 - 16 = -21
The sum of the first 6 terms of the inifinite series is -21.
Answer:
-21
Step-by-step explanation:
Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 +
got it right on the test
Given f(x)=-5x+2, find f(6)
Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 8.5 hours for the trip. The speed of the express bus is 15 mph faster than the speed of the local bus. Find the speed, in miles per hour, of both busses.
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $12,110?
Answer:
17
Step-by-step explanation:
Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. It takes 17 year for the value of the account to reach $12,110.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =P(1+r/n)^rt
Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. for the value of the account to reach $12,110 we need to find the time it takes.
The principal amount = $7,200
Rate = 3.1%
Compound Interest = [tex]P(1+r/n)^{rt}[/tex]
12,110 = [tex]7200(1+3.1/12)^{3.1t}[/tex]
t = 17
Thus, for the value of the account to reach $12,110 the time taken is 17.
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A.Who was the first english mathematician who first used the modern symbol of equality in 1557?
(To get the answer,compute the sums of the given exercises below.
Write the letter of the problem correponding to the answer found in each box at the bottom).
Answer:
Robert Recorde.
Step-by-step explanation:
Robert Recorde was a Welsh known for vast knowledge and experience in the field of mathematics and physics. He was born in Tenby, Pembrokeshire, Wales during the Medieval period (c. 1512).
Robert Recorde was famously known for his work in the field of mathematics and most especially, the invention of the equal to (=) sign. He introduced it in his book titled "The Whetstone of Witte."
Hence, Robert Recorde was the first english mathematician who first used the modern symbol of equality in 1557.
Rachel has a bag containing 3 red marbles, 5 purple marbles, and 10 blue marbles.
What is the probability that she will pull a purple marble out of the bag? What is the
complement?
Answer:
5/18, 13/18
Step-by-step explanation:
The basic probability of anything is Specific Outcome / Total Outcomes
The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18
The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.
El 28% de x es 98 como calculo lo que falta?
Answer:
350
Step-by-step explanation:
28% de x es 98
[tex] \frac{28}{100} x = 98 \\ \\ x = 98 \times \frac{100}{28} \\ \\ x = \frac{9800}{28} \\ \\ x = 350[/tex]
Choose all the common denominators for 1/4 and 7/10
Answer:
1 and 2
Step-by-step explanation:
4 and 10 are even and that means there is 2 in the group and one cause 1 fits into everything
The common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The two fractions are given which are : [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] .
We know that the numerator is the top or upper value in a fraction whereas a denominator is lower or bottom value in a fraction.
Here , the denominators in both the fractions are 4 and 10 respectively.
To find out the common denominators for both the fractions , we need to calculate the common multiples of 4 and 10.
Multiples of 4 are :
4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44
Multiples of 10 are :
10 , 20 , 30 , 40 , 50
Common multiples are :
20 and 40
This meant , common denominators will be 20 and 40.
Therefore , the common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
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find the value of x inscribed angles
Answer:
x = 84°
y = 96°
Step-by-step explanation:
By tangent secant theorem:
[tex]x = \frac{1}{2} \times 168 \degree \\ \\ x =84 \degree \\ \\y = \frac{1}{2} \times (360 - 168) \degree \\ \\ y = \frac{1}{2} \times 192 \degree \\ \\ y = 96 \degree [/tex]
HAHAHAHAHAHAHAHAHAHA
Answer:
add my robl ox cupcakeboss40
Step-by-step explanation:
I need help fast!! 7th grade math
Answer:
TU
Step-by-step explanation:
Imagine flipping the original trapezoid on its side and eyeballing which side of the now flipped trapezoid looks like the side CD.
Which equation represents a parabola with a focus of (0, 5) and a directrix of y=-1?
Answer:
x^2 = 12 (y - 2)
Step-by-step explanation:
how to explian
The equation that represents a parabola is x^2 = 12(y-2).
What is a parabola?Parabola is a open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is the locus of a point that is equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix.
For the given situation,
A parabola with a focus of (h,k+p) is (0, 5) and
A directrix of y = (k-p) = -1
Here,
[tex]k+p=5\\k-p=-1[/tex]
On solving these equations,
[tex]k=2, p =3[/tex]
The general equation of parabola is
[tex](x-h)^{2} =4p(y-k)[/tex]
On substituting all the values,
⇒ [tex](x-0)^{2} =4(3)(y-2)[/tex]
⇒ [tex]x^{2} =12(y-2)[/tex]
Hence we can conclude that the equation that represents a parabola is x^2 = 12(y-2).
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I need help ASAP, marking brainliest. Please show work.
Answer:
WY = 28
Step-by-step explanation:
Using the pythagorean theorem, we can find out the measures of lenghts WX and YX individually.
VX^2 = VW^2 + WX^2
ZX^2 = ZX^2 + XY^2
Substitute
400 = 256 + WX^2
400 = 144 + XY^2
Simplify
WX^2 = 144
XY^2 = 256
WX = 12
XY = 16
WY = 28
Which is not a true statement about the figures shown below
Answer:That is no thing shown below
Step-by-step explanation:
Answer:
I wish I could help you but you didn't attach a picture.
what are the ordered pairs for 2x+y=-12
Divide (x3 - 1) by (x - 1)
Can you answer number 7 and number 8 and explain the process please and thank you
7 is A and 8 is B
7. 20 to < 30 is straight in the middle of the chart
8. the average is all the numbers added up then divided by the amount of numbers there were. In this case it added up to 125 then I divided it by 5, which is the amount of numbers, getting 25.
WHATS THE SLOPE INTERCEPT OF THE EQUATION OF THE LINE THAT PASSES THREW (1,6) AND HAS A SLOPE OF 5
Answer:
why man
Step-by-step explanation:
Answer:
y=5x+1
Explanation:
I suggest using webmath, its very helpful!
help middle school question!!!
Answer:
The shaded region has an area of 1400 square units
Step-by-step explanation:
Area of Compound Shapes
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
Answer:
1400 square unit
Step-by-step explanation:
Example 5:
Alexa purchased a laptop for $ 1,283 and a printer for $689. How much did she pay for the Laptop and printer
before tax?
1.5 ( x + 3 ) + 3.8 ( 7 x − 2 ) ?
Answer: 28.1x−3.1
Step-by-step explanation: 1.5(x+3)+3.8(7x−2)
=(1.5)(x)+(1.5)(3)+(3.8)(7x)+(3.8)(−2)
=1.5x+4.5+26.6x+−7.6
=(1.5x+26.6x)+(4.5+−7.6)
=28.1x+−3.1
=28.1x−3.1