Answer:
x = 1/2Step-by-step explanation:
[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
isolate variable
solve
The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Which one of these relations are functions ?
Please helpppp fast
Answer:
the 4th and 6th one
Step-by-step explanation:
A function is when there are x- and y-values but each x value has only 1 y-value
Simple: If the x-value is repeated its not a function
Answer:
Step-by-step explanation:
1,2,3
Susan Johnson earns a yearly salary of $83,280. a. How much would Susan be paid if she were
paid monthly? b. How much would she be paid if she were paid bi-weekly?
The graph represents revenue in dollars as a function of greeting cards sold. A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20). Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x
Answer:
D
Step-by-step explanation:
Just did it
A function assigns the values. The equation that represents the function shown on the graph is y=4x.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the graph represents revenue in dollars as a function of greeting cards sold. Therefore, we can write the function as,
Revenue ∝ Number of cards sold
Since the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. Therefore, we can write,
y ∝ x
Removing the proportionality, we will get,
y = k x
Now, substitute any point through which the graph of the function passes to get the value of k,
20 = k × 5
20/5 = k
k = 4
Thus, the function can be represented as,
y = kx
y = 4x
Hence, the equation that represents the function shown on the graph is y=4x.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
use the formula S = 40,000 (1.06)t to calculate your salary after 4 years. Round your answer to the nearest dollar.
a. $42,400
b. $44,944
c. $47,641
d. $50,499
Answer:
d. $50,499
Step-by-step explanation:
Given:
S = 40,000 (1.06)^t
Where,
t=4 years
S=40,000(1.06)^4
=40,000(1.26247696)
=50,499.0784
To the nearest dollar
S=$50,499
The answer is d. $50,499
suppose we want to choose 6 letters without replacement from 13 distinct letters. A) how many ways can this be done if order does not matter? B) how many ways can this be done if order of choices matters
Answer: A) 1716 B) 1235520
Step-by-step explanation:
If order doesn't matter , then we use combinations, where the number of combinations of selecting r things from n is given by :-[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
If order matters , then we use permutations, where the number of permutations of selecting r things from n is given by :-[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
Given, Total distinct letters = 13
To choose = 6 letters
A) Number of ways to choose (if order does not matter)=[tex]^{13}C_6[/tex]
[tex]=\dfrac{13!}{6!7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!}{(720)\times 7!}\\\\= $$1716[/tex]
B) Number of ways to choose (if order matters)=[tex]^{13}P_6[/tex]
[tex]=\dfrac{13!}{7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!} 7!}\\\\= $$1235520[/tex]
Hence, A) 1716 B) 1235520
Solve the equation. Do not put "x = "in your answer, just type the number.
Ex: -8 3x - 5 = 13*
Answer:
6
Step-by-step explanation:
3x - 5 = 13
3x = 18 (Add 5 to both sides; 13 + 5 = 18)
x = 6 (Divide both sides by 3; 18 / 3 = 6)
What is the value of w? inscribed angles (Image down below)
Answer:
w = 100°
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral in a circle are supplementary.
Therefore, [tex] w + 80 = 180 [/tex]
Subtract 80 from both sides
[tex] w + 80 - 80 = 180 - 80 [/tex]
[tex] w = 100 [/tex]
The value of w = 100°
Determine what type(s) of angles are described by the following angle measures. Angle of 35 degrees.
Answer:
Acute.
Step-by-step explanation:
An angle of measure between 0 and 90 degrees is an acute angle.
Which of the following best represents the average rate at which the human hair grows (1 point)
a
0.25 inches per second
b
0.25 meters per hour
с
0.25 meter per month
d
0.25 inches per month
Answer:
D.0.25 inches per months
Step-by-step explanation:
The average rate or speed of human hair growth is about 0.25inches per month.
If you're good at exact values of trig ratios pea shell me with 13a
It is an equilateral triangle so its angles are equal 60°. From the definition, we know that:
[tex]\sin60^\circ=\dfrac{h}{4}[/tex]
and
[tex]\sin60^\circ=\dfrac{\sqrt{3}}{2}[/tex]
so
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{4}\quad \Big|\cdot4\\\\\\h=\dfrac{4\cdot\sqrt{3}}{2}\\\\\boxed{h=2\sqrt{3}}\\[/tex]
Answer:
h = √12
Step-by-step explanation:
use the Pythagorean
h² = 4² - 2²
h² = 16 - 4
h = √12
Please answer this question now
Answer:
65.94 square inches
Step-by-step explanation:
Surface area of a cone=πr(r+√h^2+r^2)
π=3.14
r=diameter/2
=14/2
=7 in
h=?
h=a
To find h using Pythagoras theorem
c^2 = a^2 + b^2
14^2 = a^2 + 7^2
14^2 - 7^2= a^2
196-49=a^2
147=a^2
Square root both sides
√147=√a^2
12.12=a
a=12.12 in
Surface area of a cone=πr(r+√h^2+r^2)
=3.14(7+√12.12^2+7^2)
=3.14(7+√147+49)
=3.14(7+√196)
=3.14(7+14)
=3.14(21)
=65.94 square inches
Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three times, replacing the card each time. To win a prize, he must draw the number 5 all three times. What is the probability he will draw the number 5 all three times?
Answer: 0.008
Step-by-step explanation:
We have 3 experiments.
Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".
in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:
p = 1/5.
And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:
P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008
what is the image (-9,-2) after a reflection over the x-axis ?
Answer:
(-9,2)
Step-by-step explanation:
The rule for reflecting over the x axis is
(x,y)→(x,−y)
(-9, -2) becomes ( -9, - -2) = (-9,2)
Answer:
(-9,2)
Step-by-step explanation:
It will be -9,2 because when you reflect across x axis you change the y axis not the x axis because if you imagine it it works like that
The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.
Answer:
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
Step-by-step explanation:
[tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex]
Factorizing the expressions we have
[tex]\frac{x^{2} + 3x -2x - 6}{x^{2} -x - 5x + 5} X \frac{x^{2} + 3x - x - 3}{x^{2} -2x -5x + 10}[/tex]
[tex]\frac{x(x + 3)- 2(x + 3)}{x(x -1) - 5(x - 1)} X \frac{x(x + 3) - 1(x + 3)}{x(x - 2) - 5(x - 2)}[/tex]
[tex]\frac{(x + 3)(x - 2)}{(x - 5)(x - 1)}X\frac{(x + 3)(x - 1)}{(x - 2)(x - 5)}[/tex]
Cancelling out the like factors, (x -1) and (x - 2), we have
[tex]\frac{(x + 3)(x + 3)}{(x - 5)(x - 5)}[/tex]
= [tex]\frac{(x + 3)^{2} }{(x + 5)^{2} }[/tex]
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
What is the square root of 48? what is the square root of 1/49 ? what is the square root of 4/100 ?
Answer:
Step-by-step explanation:
√48 = √(3*16) = 4√3
√1
√(1/49) = ------- = 1/7
√49
√4
√(4/100) = --------------- = ±2/10 =
√100
What are the solutions to the equation (2x – 5)(3x – 1) = 0? x = or x = 3 x = x = 5 or x = 1
Answer:
x = 5/2 x=1/3
Step-by-step explanation:
(2x – 5)(3x – 1) = 0
Using the zero product property
2x-5 =0 3x-1 =0
2x=5 3x =1
x = 5/2 x=1/3
Answer:
C on edg 2021
Step-by-step explanation:
Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. Let p represent the computer’s original price. Which equation models this situation?
Answer:
p= 25/100 = 180/x
Step-by-step explanation:
In order to find the computer's original price, you must use the equation p= 25/100 = 180/x and solve for x.
Answer:
0.75p=p-180
Step-by-step explanation:
0.75p=p-180 is your answer
6 sqrt (x-2) +4 < 28
How do you solve? Btw.. x-2 is under sqrt sign.
Answer:
Step-by-step explanation:
[tex]6\sqrt{x-2}+4<28\\6\sqrt{x-2}<28-4\\\sqrt{x-2}<\frac{24}{6}\\\sqrt{x-2}<4\\\\x-2 <16\\x<16-2\\x<14x-2 \geq 0\\x\geq 2\\so~2 \leq x < 14[/tex]
A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft
Answer:
Hey there!
1 gallon=400 square feet
2 3/8 gallon= 400 (2 3/8) square feet
2 3/8 gallon= 950 square feet.
Let me know if this helps :)
Which of the following shows the correct solution steps and solution to 7x-4= -18?
Answer:
x = -2
Step-by-step explanation:
To solve for x always get x on one side
First add 4 on each side, 4 + 7x - 4 = -18 + 4
Next subtract 18 from 4, making it -14 7x = -14
Now divide 7 on each side, x = -2
Look at the figure below: Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE = EC and ED = BE Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? HELPPPPP MEEEEEE WILL GIVE BRAIN POINTS
Answer:
AEB and CED
Step-by-step explanation:
Given the two pairs of congruent sides, you now use the vertical angles as the pair of congruent included angles, <AEB and <DEC.
The congruent triangles are:
AEB and CED
Answer:
B- Triangle AEB and triangle CED
Step-by-step explanation:
I took the test and it was correct
Solve: 5x2 + 25x = 0
Answer:
x = -0.4
x = -(2/5)
Answer:
x = ± √5
Step-by-step explanation:
Please indicate exponentiation by using the symbol " ^ ":
5x^2 + 25x = 0
Divide all three terms by 5. We get:
x^2 + 5 = 0, or x^2 = -5
Then x = ± √5
A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell
The total number of apple pies is 22 and the total number of blueberry pies is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.
Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.
The linear equation that represents the total number of pies is:
x + y = 39
x = 39- y --- (1)
The linear equation that represents the total amount collected is:
10x + 14y = 458--- (2)
Substitute the value of 'x' in equation (2).
10(39- y) + 14y = 458
y = 17
Then Substitute the value of 'y' in the equation (1).
x = 39 - 17
x = 22
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ5
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
9.6km
Step-by-step explanation:
Do 6x1.6 ÷1= 9.6km
Answer:9.6km
Step-by-step explanation: Recall BSM(big-small-multiply),so
1.6km×6
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?
Answer:
120
Step-by-step explanation:
Got it right on the assigment
Answer:
c. 120
Step-by-step explanation:
Find the constant of proportionality (r) in the equation y = r x
Answer:
r = 11Step-by-step explanation:
y = r x
r is the constant of proportionality
To find r pick any values of x and y provided and substitute it into the above formula and solve for r.
That's
using
x = 2
y = 22
We have
22 = 2r
Divide both sides by 2
r = 11Therefore the constant of proportionality is 11
Hope this helps you
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-seventh of the surviving ships were lost in a storm after the battle. Finally, the twenty-four remaining ships sailed home. How many ships were in the fleet before the engagement?
Answer:
60 ships.
Step-by-step explanation:
Let the total number of ships in the naval fleet be represented by x
One-third of the fleet was captured = 1/3x
One-sixth was sunk = 1/6x
Two ships were destroyed by fire = 2
Let surviving ships be represented by y
One-seventh of the surviving ships were lost in a storm after the battle = 1/7y
Finally, the twenty-four remaining ships sailed home
The 24 remaining ships that sailed home =
y - 1/7y = 6/7y of the surviving fleet sailed home.
Hence
24 = 6/7y
24 = 6y/7
24 × 7/ 6
y = 168/6
y = 28
Therefore, total number of ships that survived is 28.
Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4
Total number of ships in the fleet(x) =
x = 1/3x + 1/6x + 2 + 28
Collect like terms
x - (1/3x + 1/6x) = 30
x - (1/2x) = 30
1/2x = 30
x = 30 ÷ 1/2
x = 30 × 2
x = 60
Therefore, ships that were in the fleet before the engagement were 60 ships.
How do I find DG. A. 3 B. -7 c. 16 d. 13
Answer:
x = -7
Step-by-step explanation:
DE + EF + FG = DG
2x+17 + 8+2 = x+20
Combine like terms
2x+ 27 = x+20
Subtract x from each side
2x+27-x = x+20-x
x+27 = 20
Subtract 27 from each side
x+27-27 = 20-27
x = -7
