Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
Evaluate the expression for x=5, y=-3 and z=7
7 - 3y – 3z
Answer:
Step-by-step explanation:
7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5
Answer:
-5
Step-by-step explanation:
(Refer to image)
Plug in the y and z and use order of operations to simplify!
What is the slope of the line that passes through points (-4, 5) and (3, -2)?
Answer:
-1
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-2 - 5 = -7
_____ ____
3 - (-4) = 7
= ⁻⁷⁄₇ = -1 Simplify to lowest term
Use the distributive property to rewrite the following expression.
2(n - 6) + 4
Pls I need this in 5 min!!
Answer:
2n - 12 + 4
Step-by-step explanation:
Distribute 2 across the n+6, get 2 x n and get 2n, and 2 x -6 = -12
u need this m8, good day
In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?
Answer:
15%
I like your demon slayer profile picture
Answer:
The answer is 15%.
Step-by-step explanation:
If 100 is 10% it only makes since that 15% is the right answer.
Hope This Helps!
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description? please help me fast
Answer:
i think its c
Step-by-step explanation:
A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?
Answer:
Answer 26.35 rounded to 30
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS
Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
Option D is correct trust me
Step-by-step explanation:
Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.
Answer:
The answer is 410
Step-by-step explanation:
You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3
Help pls idk how to do this idk if i will set it up right
Answer:
3(-10.5)
Step-by-step explanation:
Answer:
3(-10.5)
Step-by-step explanation:
6771 divided by 44
Quotient:
Remainder:
Answer:
quotient: 152 remainder: 23
Step-by-step explanation: hope that helps :)
can i get brainliest pls?
Jen bought 5 CD's for $57.50. What was the unit price?
Answer:
$11.50 per CD
Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
Who can guess what time it is for me
Answer:
6:29
Step-by-step explanation:
Write 0.000 052 3 in standard form.
Answer:
523
Step-by-step explanation:
as 5 is in hundreds place
2 is in tens place
3 is in ones place
which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)
Answer:
y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus
y - 2 = [tex]\frac{1}{3}[/tex](x - 3)
Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .
To Find : The equation of that line .
Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;
[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]
Where ,
a is x - coordinate.b is y - coordinate .m is the slope of the line .Here ,
a = 3 b = -2m = ⅓ .Now , put the respective values ;
[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?
Answer: He can load at most 20 boxes.
Step-by-step explanation:
Let x = Number of boxes.
Then, Weight of 75 boxes = 75x
Also, Weight of worker = 200 pounds
So total weight in elevator = Weight of 75 boxes + Weight of worker
= 75x +200
A warehouse elevator can hold 1750 pounds.
∴ 75x +200 ≤ 1750
⇒ 75x ≤ 1750 -200
⇒ 75x ≤ 1550
⇒ x ≤ 20.67 [Divide both sides by 75]
It implies the maximum number of boxes it can hold = 20
Hence, the true statement is
He can load at most 20 boxes.
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
Select all of the zeros of the function f(s) = (5x - 7)(x + 3)
Answer:
Step-by-step explanation:
A bill can pass in the U.S. senate with a three-fifths vote. If there are 100 senators, how many are needed to pass a bill?
Answer:
60
Step-by-step explanation:
3/5 x 100
0.6 x 100
60
Brainliest Appreciated!
b. How many eggs would you need to make 18 dozen cookies?
50+ Points!
Solve the equation.
5^-9×325+(-42÷-14)
Answer:
−6347653.25 or 3.0001664, not my style of math but it is definitely one of the two.
Step-by-step explanation:
−1953125 x 325 + 3
−6347656.25 + 3 = −6347653.25
Answer:
3.0001664
Step-by-step explanation:
.
use the rational exponent property to write an equivalent expression for
Answer:
i need to know what for
Step-by-step explanation:
Answer:
forrr rwhatttt
Step-by-step explanation:
The value of x must be greater than
O 0
O 1
O 3
O 7
The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?
Answer
10 degrees c
Step-by-step explanation:
To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?
Final Answer: 18 lemons
Explanation:
8 x 3 = 24
In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.
6 x 3 = 18
Therefore, you need 18 lemons. :)
x 12 = 6 10 give your answer as an improper fraction in its simplest form.
Answer:
41/6
Step-by-step explanation:
Take the root of both sides and solve.
Help me quickly plz !!!!!!!!!!!!
Answer:
64
Step-by-step explanation:
10=-6+u/4
+6 both sides
16=u/4
times both sides by 4
64=u