Answer:
See answers below.
Step-by-step explanation:
m ∠A + m ∠B + m ∠C = 180° The sum of the angles in a triangle = 180
28° + x - 4 + 2x = 180° Substitution
x = 52° Algebra
28° + x - 4 + 2x = 180°
24° + 3x = 180°
3x = 156°
x = 156/3
x = 52°
Check: 28° + 48 + 104° = 180√
A machine takes 15 minutes to scan 1,125 pages. At this rate, how many pages can the machine in a hour?
Answer:
4500 pages
Step-by-step explanation:
an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.
1125*4 =4500 pages/hour
In one hour the machine will scan 4500 pages.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a machine takes 15 minutes to scan 1,125 pages.
The machine takes 15 minutes to scan 1,125 pages.
Then, in 1 minute, it will scan (1125/15) = 75 pages.
So, in 1 hour, it will scan -
x = 75 x 60
x = 4500
Therefore, in one hour the machine will scan 4500 pages.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ2
The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answer:
you should use minimum 8 black cur
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answer:
71/120
Step-by-step explanation:
I NEED HELP!!!
solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)
Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
If you subtract 17 from my number and multiply the difference by -2, the result is -10." What is the number?
Answer:
22
Step-by-step explanation:
-10/-2 is 5
5+17 is 22
Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:
Answer:
[tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
Catherine walks her dog 3/4 a mile everyday.
We want to find how far she walks each week.
There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5 1/4 mile a week.
Given that a [] b = b2 + a. Evaluate 2 [] (6[] - 5).
Answer:
963
Step-by-step explanation:
Evaluate 6 | - 5 , then the outside part, that is
6 | - 5 ( with a = 6 and b = - 5 )
= (- 5)² + 6 = 25 + 6 = 31
Now evaluate 2 | 31 ( with a = 2 and b = 31 )
= 31² + 2 = 961 + 2 = 963
Find the slope-intercept equation of the line
that passes through (5, -3) and has a
slope of -1/2
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
lmk if you want an explanation
Solve the following system of equations.
3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28
Solution(s):
Answer:
[see below]
Step-by-step explanation:
I graphed the system of equations.
When graphed, the two equations intercept 4 times.
(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.
Hope this helps.
Please help me on question two
Answer:
The following are the answers of questions asked above :-
a) 40
b) 4
c) 4000
5(x-4)+?=+12x-21 what is the answer?
5(x-4) + ? = 12x - 21
5x - 20 + ? = 12x - 21
? = 7x -1
ok done. Thank to me :>
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
Five Gallons Of Water
Step-by-step explanation:
If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it
You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to
find the measures of the angles described.
The measure of an angle increased by 24° is equal to the measure of its complement.
The measure of the angle is
Jº and the measure of its complement is
Answer:
33°90° -J°Step-by-step explanation:
1)If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
__
2)Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.
The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
Learn more on table of functions here: https://brainly.com/question/3632175
Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18
Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
Work out 247 as a percentage of 380.
Answer:
65%
Step-by-step explanation:
You can use the equation " is over of " to solve this. 247/380 * ?/100. After simplifying, you get 24700/380 which equals 65%.
Brainliest would be appreaciated! :-)
I think the answer is 65%. Hope that helps.
What is the value of q in the equation 49 - 2 = 39+8?
q
=
10
0 -
7
10
7
06
0 10
Answer:
The is no "q" in the equation provided. If there is supposed to be, please add it. Otherwise, q is undefined. It can have any value. I choose 0.
Step-by-step explanation:
The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid
Answer:
1913.34
Step-by-step explanation:
1784x0.0725=129.34
129.24+1784.00=1913.34
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7
The data in this table represents a linear function.
What is the slope of this line?
2/7
1/3
3
7/2
Answer:
3
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]
X = 5 – 2 = 3
Y = 16 – 7 = 9
[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]
[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]
Equation of the line:
y = 3x + 1
When x=0, y = 1
When y=0, x = -0.33333333333333
help!! due tommorrow
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.
What was the total change in the water level?
Enter your answer as a decimal in the box.
Answer:
-37.675
Step-by-step explanation:
27.5 X -1.37 = -37.675
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.
Answer:
3.416 x 10^(" + * + 1)
Step-by-step explanation:
The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect. Whatever they are, do the following:
1) multiply 5.6 times 6.1. Result = 34.16
Add the two exponents: (" + *)
The result is 34.16 x 10^(" + *)
Then move the decimal point one to the left and add 1 to the 10 exponent:
3.416 x 10^(" + * + 1)
i need help with this like... now besties
if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?
Step-by-step explanation:
it represents a point on the line defined by the function equation.
it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).
please help me :(
NO LINKS PLEASE
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
Solve the following for x: 7/x=100/75
Answer:
9.31
Step-by-step explanation:
7/x=100/75
7/x=1.33
x=9.31
Answer: x = 5 1/4
Step-by-step explanation: 7/x = 100/75 (7)(75) = (100)(x)
100x/100 = 525/100 x = 21/4 x = 5 1/4
can anyone please help
Answer:
Adult tickets = $73.5
Child tickets = $20.5
Step-by-step explanation:
[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]
• Subtract eqn 2 from eqn 1:
[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]
[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]
An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle.
Answer:
5.76 cm
Step-by-step explanation:
When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,
R = side * sqrt (3) / 6
Here, side is 20 cm.
And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.
So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm