Answers
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)
78x -13 = 70x +35 . . . . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . . . . . . . divide by 8
Related Questions
Describe how many zeros this equation will have, and where they are.
(1 Point)
f (x) = -2x2 – 5x – 2
Answers
Answer:
Let y=x
2
−5x+6, when we substitute different values of x in the equation y=x
2
−5x+6 then value of y changes accordingly.
When x=0 then
y=(0)
2
−(5×0)+6=0−0+6=6
The point is (0,6)
When x=2 then
y=(2)
2
−(5×2)+6=4−10+6=10−10=0
The point is (2,0)
When x=3 then
y=(3)
2
−(5×3)+6=9−15+6=15−15=0
The point is (3,0)
Therefore, the coordinates are (0,6), (2,0) and (3,0) and the graph of the quadratic equation y=x
2
−5x+6 is as shown above.
Hence, from above graph, we get that x=2 or x=3.
Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2
Answers
Answer:
9680 ft^2
Step-by-step explanation:
1 acre = 43,560 ft^2
(2/9) acre = (2/9)*43,560 ft^2
(2/9) acre = 9680 ft^2
An apartment building contains 250 apartments. There are 50 more 2-bedroom apartments than 1-bedroom apartments. How many apartments of each type are there
Answers
Answer:
100
Step-by-step explanation:
Answer:
100 1- bedroom and 150 2- bedroom
Step-by-step explanation:
let x be the number of 1- bedroom apartments , then
x + 50 is the number of 2- bedroom apartments , so
x + x + 50 = 250 ( subtract 50 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom
For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y
Answers
Answer:
It has two solutions
Step-by-step explanation:
[tex]y = 5(x - 4)[/tex]
substitute for y in second equation:
[tex]4x + 12 = - y \\ 4x + 12 = - \{5(x - 4) \} \\ 4x + 12 = - 5x + 20 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]
then for y:
[tex]y = 5(x - 4) \\ y = 5( \frac{8}{9} - 4) \\ \\ y = 5( - \frac{28}{9} ) \\ \\ y = - \frac{140}{9} [/tex]
) A real estate agent sells a unit for $800 000. The commission rate is 2.75% of the selling price. Calculate the commission. (A) $25 000 (B) $27 750 (C) $220 000 (D) $22 000
Answers
Answer:
The answer is (D) $22 000
Step-by-step explanation:
800,000/100 = 8,000
I did this to show 1% of 800,000 is 8,000 (To find 1% of a number always divide it by 100)8,000*2.75=22,000
I did this because since I know 8,000 is 1% percent of the price I can times it by the percentage rate to find how much the commission is. Also note that there are other ways to solve this equation that may suit you better, this is the way I do it and I find it much more faster.HELP PLS
Given the exponential function f(x) and the logarithmic function g(x), which of the following statements is true?
*Exponential function f of x equals 3 to the power of x minus 1 that increases to the right passing through the point 0 comma 0 and logarithmic function g of x equals log in base 3 of x minus 3 increasing from left to right passing through the point 1 comma negative 3
A. As x approaches infinity, f(x) approaches infinity, and g(x) approaches 0.
B. As x approaches infinity, f(x) approaches 2, and g(x) approaches 0.
C. As x approaches infinity, f(x) approaches 2, and g(x) approaches infinity.
D. As x approaches infinity, f(x) approaches infinity, and g(x) approaches infinity.
Answers
Answer:
As x→∞, f (x)→∞ and g(x)→∞.
Step-by-step explanation:
Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.
what is the annual salary equivalent to a semimonthly salary of $834.08?
Answers
Answer:
$20,017.92
Step-by-step explanation:
Semimonthly means twice a month.
There are 12 months in a year.
12 x 2 = 24 (because they are payed twice a month)
24 x 834.08 = 20017.92
Plz help me with these with steps
Answers
Answer:
10. 9/40
11. $72
Step-by-step explanation:
10.
Step 1: Have the whole cake as 1,
[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]
11.
Step 1: Find the remaning income left
[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]
Step 2: Calculate the weekly income
3 units = $27
1 unit = $9
Weekly income = $9 * 8 = $72
I keep getting 30 but it’s not right. Can anyone tell me the steps?
2[10-3(4-2)]+1
Answers
Answer:
9
Step-by-step explanation:
[tex]2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9[/tex]
What type of relationship is expressed below?
f(x) = 7x +3
Answers
Answer:
Linear Function
Step-by-step explanation:
This is a linear function. A linear function is a function with the degree of 1, where the line increases continuously the whole graph. The growth of the graph is constant, making a straight line. This function is written in slope-intercept form, f(x) = mx+b. Where m is the slope and b is the y-intercept. The function will have 1 solution.
7 divided by 345689
Answers
Answer:
Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941
A little Challenge.
(I made this question)
The radii of circles G and F is 1
The radii of all other circles is .5.
Answers
Step-by-step explanation:
the total area of circles =
(2 × π × 1²) + (3 × π × 0.5²)
= (2π) + ( 3× 0.25×π)
= 2π + 0.75π
= 2.75π
assume π=3.14
so, the total area =
2.75 × 3.14 = 8.635
Let's see
Area
2π(1)²+3π(0.5)²2π+0.75π2.75π8.6 units ²Which number has a 6 that is 1/10 the value of the 6 in 6,239
Answers
Answer:
it is b
Step-by-step explanation: hope help
3. A sea gull was flying 4 feet above sea level when a fish below it jumped one foot out of the water. How far apart were the seagull and the (unlucky) fish?
Answers
Answer: 3ft difference
Step-by-step explanation:
Seagull = +4ft
Fish = +1ft (since it jumped 1ft above sea level)
4-1 = 3ft difference
what number divided by four equals three?
Answers
Answer:
12 divided by 4 equals 3
Step-by-step explanation:
Solve for y: -5(2y+3) +5=40
Answers
Answer:
Step-by-step explanation:
-5(2y + 3) +5 = 40
-10y - 15 + 5 = 40
-10y = 40 +15 - 5
-10y = 50
y =[tex]\frac{50}{-10\\}[/tex]
y = -5
1.2.PS-9
Which numbers are rational?
8
11
7, 3.41, 0,
2
-9
3'
Select all that apply.
Answers
9514 1404 393
Answer:
all except π are rational numbers
Step-by-step explanation:
Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.
All of the numbers listed except π are rational.
If 2/5 of a pole is 3:6,what will be the length of 5/9 of it?
Answers
Answer:
Ans : the length of 5/9 is 5m
solve for x, need help asap!
Answers
Let's solve for x using trigonometric relation ( Cos )
we know,
[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]
now
[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]
[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]
[tex]x = 4 \sqrt{3} [/tex]
hence, the value of x is [tex] 4 \sqrt{3} [/tex]
An effort of 50 N is applied to lift a load of
200 N by using a lever. If effort is displaced
through 5m to lift a load through 1m, calculate
it’s MA, VR and efficiency. Please help me
Answers
Step-by-step explanation:
hope it helps u........
A wall is 4200 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answers
Answer:
1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall
Step-by-step explanation:
4200 ÷ 600 = 7
Answer:
7
Step-by-step explanation:
Divide the total wall space by the amount in 1 gallon: 4200/600= 7
So you would need 7 gallons to paint the whole wall.
Is that what you were looking for?
What is the answer to |-2|+|-3|
Answers
Answer:
5
Step-by-step explanation:
the absolute value of -2 is 2
the absolute value of -3 is 3.
Since the question is adding the absolute values, the answer is 5
10) Pete is fast, Repeat is 3 times faster. If
Pete and Repeat can complete the job in
56 minutes, how fast is Pete? (I want
Pete's time only)
Answers
Answer:
14 minutes
Step-by-step explanation:
if Pete is x times fast then Repeat is 3x faster
so if both combine to complete a job in 56 minutes then we have
[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]
remember Pete is x hence Pete was 14 minutes fast
Express the following as the sum of twin primes
a) 84
b)36
c)24
d)425
Answers
Answer:
answer it's c)24...
Step-by-step explanation:
i think helping you..... please tell correct or no...
What length of cable, rounded to the nearest foot is needed to connect the top of a 60-foot tower to an anchor point 35 feet
from the base of the tower?
A) 73
B) 67
C)69
D)64
Answers
9514 1404 393
Answer:
C) 69 ft
Step-by-step explanation:
The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.
length = √(60² +35²) = √4825 ≈ 69.46
The length needed is about 69 feet.
Please help
Solve the inequality.
1
x+ z
x+-3-3 or x - 3>-2
'
7.
x <
or x >[ ]
[?]
Answers
9514 1404 393
Answer:
x ≤ -7/2 or x > 1
Step-by-step explanation:
To solve the left inequality for x, subtract 1/2 from both sides:
x ≤ -3 -1/2
x ≤ -7/2
__
To solve the right inequality for x, add 3 to both sides.
x > -2 +3
x > 1
Find the value of x 8/x=6/30
Answers
Answer:
x = 40
BRAINLIEST, PLEASE!
Step-by-step explanation:
8/x = 6/30
8/x = 1/5
x = 8/(1/5)
x = 8(5)
x = 40
how to find the sum of 12 and 36 using the gcf and distributive property
Answers
At the zoo the polar bears are fed 0.1 bucket of fish a day.
The penguins are fed 0.83 that amount. How much of a
bucket are the penguins fed?
Answers
Answer:
0.083
Step-by-step explanation:
0.1 x 0.83 = 0.083
There are 0.083 bucket are the penguins fed.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Now,
Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Hence, The bucket are the penguins fed is,
⇒ 0.83 × 0.1
⇒ 0.083
Learn more about the multiplication visit:
brainly.com/question/10873737
#SPJ2
Consider the sequence of numbers 50,48,46,44….
(A) What are the next three numbers in this sequence?
(B) Using n to represent the position of a number in this sequence, write an expression that allows you to calculate the nth number.
(C) use your expression to find the 100th number in this sequence
Answers
Step-by-step explanation:
(A) 42,40
(B) T(n) = 50 + (n-1)(-2)
= 50+2-2n
= 52-2n
(C) T(100) = 52 - 2(100)
= 52- 200
= - 148