Answer:
[tex]\huge{\fbox{\sf{ x = -50}}}[/tex]
Step-by-step explanation:
[tex]\frac{x}{5} + 7 = -3[/tex]
Take the L.C.M of 5 and 1 ( i.e 5 )
⇒[tex]\frac{x+7 * 5}{5} = -3[/tex]
⇒[tex]\frac{x+35}{5} = -3[/tex]
Do cross multiplication
⇒[tex]x + 35 = -3 * 5[/tex]
⇒[tex]x + 35 = -15[/tex]
Move 35 to right hand side and change its sign
⇒[tex]x = -15 - 35[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
⇒[tex]x = -50[/tex]
The value of x is [tex]\boxed{\sf{ -50}}[/tex]
Hope I helped!
Best regards!
~[tex]\text{ TheAnimeGirl}[/tex]
Here's a linear equation in variable x and we have to compute the value of x for the above equation.
Given equation:
[tex] \large{ \rm{ \dfrac{x}{5} + 7 = - 3}}[/tex]So, Let's start solving the above equation:
Move 7 to the Right hand side,
Remember: Inverse of addition is subtraction
[tex] \sf{ \dfrac{x}{5} = - 3 - 7}[/tex]
[tex] \sf{ \dfrac{x}{5} = - 10}[/tex]
Now multiplying 5 in other side because again the inverse of division is multiplication,
[tex] \sf{ x = - 10 \times 5}[/tex]
[tex] \sf{x = \boxed{ \red{ - 50}}}[/tex]
And the required value for x is -50. So, we are done....
Carry On Learning !
Study the grid closely and name the ordered pairs of the 4 red points A, B, C, D on this coordinate system. Will the line joining A &
B pass through D? How would you prove that it does or does not? Answer in the discussion below!
9514 1404 393
Answer:
A(0, 0), B(1, 1), C(5, 1), D(8, 7)no; Dx ≠ DyStep-by-step explanation:
1) Upon studying the grid, we see that A is at the intersection of the x- and y-axes, and that all of the other points are in the first quadrant. The distance between minor grid lines in either direction is taken to be 1 unit. That is, B is 1 unit right and 1 unit up from A(0, 0), so has coordinates B(1, 1).
The coordinates of C and D can be found by counting grid lines. We find them to be C(5, 1) and D(8, 7).
__
2) The line joining A and B is a line whose points have their x-coordinate equal to their y-coordinate. The coordinates of D are not equal, so will not be on that line.
Why are the triangles below congruent?
Answer:
SAS
Step-by-step explanation:
As shown, you are given two measures of sides and since the intersecting lines(triangles) create vertical angles, then they are congruent.
Answer:
SAS
Step-by-step explanation:
there are two congruent sides given on the triangles and that shows us that the vertex of both triangle where they meet is congruent... so its side-angle-side
Shawn buys a new bike for $75.50 and a new helmet for $12.50. If the sales tax rate is 11%, what will be the amount of sales tax on Shawn’s purchase?
Answer:
$9.68
Step-by-step explanation:
The total cost before tax is $75.50 + $12.50 = $88
11% of $88 = 0.11 * $88 = $9.68
Answer: $9.68
Answer:
Step-by-step explanation:
$75.50 (bike) + $12.50 (helmet) = $88 (this is the amount shawn will pay before tax
next $88 (total before tax) multiplied by 0.11 (11% tax) to get $9.68 tax. that should be the answer
edit: answer was wrong before, im really sorry if you already submitted the answer and i got it wrong for you.
Please someone answer this for me
20 POINTS IF ANSWERED
the sum of a rational number and a irrational number
Answer: The sum of rational and irrational number is always irrational...
Answer:
When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.
(Rational number): A number that can be accurately expressed as the ratio of two integers. Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. Irrational numbers refer to infinite and non-recurring decimals such as: π ·The difference between irrational and rational numbers: 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.
.
A shoe store donated a percent of every sale to charity. The total sales were 6,100 so the store donated 305 what percent of 6100 was donated to charity
Answer:
20%
Step-by-step explanation:
6100/305 is 20
Im doing the same question and the answer is 5%
Translate the sentence into an inequality
A number X increased by 5 is less than -17
I was 6 my sister was half my age. I am 30 how old is she
Answer:
I think its 27.
Step-by-step explanation:
If they were 6 and her sister was half her age her sister would be 3. That means her sister is 3 years younger than they are. So if they are 30 all you do is 30 - 3 and you get your answer 27.
Hope this helps!
5. Write the following as a decimal: Forty-three thousandths
0.043
0.43
43,000
0.0043
Answer:
The answer would be A)
Step-by-step explanation:
8-x+ 5x - 2-9x =
Please help
Answer:
-5x+6
Step-by-step explanation:
Combine like terms:
-x + 5x - 9x = -5x
8 - 2 = 6
Answer: - 5x+6 plz name me brainliest. I got it right on my test
Step-by-step explanation:
-x + 5x - 9x = -5x
8 - 2 = 6
help please, i need it due in 5 min
PLEASE HELP ME!! WILL MARK BRIANLIEST!
Answer:
462
Step-by-step explanation:
15 x 11 + 33 x 9 = 462
100% sure gimme brainliest please thanks
Answer:
Its 462
Step-by-step explanation:
2. The length of time � necessary to complete a key operation in the construction of houses has an exponential distribution with mean 10 hours a. How long do you expect the key operation to take? b. What is the probability the key operation will take less than 24 hours? c. What is the probability the key operation will take at least 5 hours? d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours? e. What do you notice about your answers to part c and part d? What is this property called?
Answer:
This question has been solved in the attachment I added to the answer. Please try to follow the calculations. If you have any questions you can drop it on the comment section.
a. How long do you expect the key operation to take?
The operation would take 10 minutes
b. What is the probability the key operation will take less than 24 hours
= 0.909285 or 0.909
c. What is the probability the key operation will take at least 5 hours?
= 0.606
d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours?
0.6065
e. What do you notice about your answers to part c and part d?
Part c an d have the same values.
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
22. Find the area of the figure pictured below.
Answer:
35
Step-by-step explanation:
The area of given figure is, 35 meter².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, We know that;
⇒ Area of rectangle = Length × Width
So, The area of figure is,
⇒ 9 × 3 + (7 - 3) × 2
⇒ 27 + 4 × 2
⇒ 27 + 8
⇒ 35 meter²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
Simplify 6 to the negative 3rd power over 6 to the 5th
Answer:
6
Step-by-step explanation:
6 to the -3 power then to 6 to the 5th.
Getting 5.95374181e-7, simplfied made into a 6. Or a 5.9, most likely 6.
Least to greatest djjzhxjxhxjxjx
Answer:
thats easy j
Step-by-step explanation:
which of the following are not polynomials
Answer:
A, B, C
Step-by-step explanation:
The variables in a polynomial term are non-negative integers.
A: x is to 1/2 power (square root) . . . not a polynomial
B: x is to -2 power . . . not a polynomial
C: x is to -2 power . . . not a polynomial
D: x is to powers of 2 and 1 . . . is a polynomial
The choices A, B, and C are not polynomials
Which expression is equivalent to 4(3+5) - 3.92?
Answer:
28.08
Step-by-step explanation:
4(3+5)−3.92
Add 3 and 5 to get 8
4×8−3.92≈28.08
Multiply 4 and 8 to get 32
32−3.92≈28.08
Subtract 3.92 from 32 to get 28.08
28.08
Bernard used the expression 18x + 27 to calculate his earnings. Select all of the expressions that are equivalent to Bernard's expression.
A.9(2x + 3)
B.9(18x +27)
C.9(2x + 27)
D.3(6x + 27)
E.3(6x+9)
Answer:
A. and E.
Step-by-step explanation:
9(2x + 3)
9 times 2x = 18x 9 times 3 = 27
18x + 27
3(6x+9)
3 times 6x = 18x 3 times 9 = 27
18x + 27
Hope this helps dude ! ^-^
Felix bought x pounds of grapes that cost $1.25 per pound and y boxes of cereal that cost $2.50 per box. He spent less than $10. Which graph represents this scenario?
Answer:
The Answer is B
Step-by-step explanation:
Trust me i did it
Answer:
B ANSWER IS B
Step-by-step explanation:
The first aircraft has 48 more seats than the second aircraft. The third aircraft has 58 fewer seats than the second aircraft. If their total number of seats is 401, find the number
of seats for each aircraft
The first aircraft has seats. (Simplify your answer)
Answer:
1st aircraft has 353 seats
2nd aircraft has 343 seats
Step-by-step explanation:
401 minus 48 equals 353 (1st aircraft)
401 minus 58 equals 343 (2nd aircraft)
in a triangle abc the lengths look the three sides are 7 cm 12 cs and 13 cs
Answer:
So what's the question ur trying to ask?
One week, Makayla earned $142.20 at her job when she worked for 6 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $829.50?
Answer:
I belive the number you are searching for is 35.
Step-by-step explanation:
Simply divide 142.20 by 6 to get the hourly wage(23.70). Divide 829.50 by the hourly wage to get the answer. (35)
is this relation a function? justify your answer (2,3 4,9 6,10 9,5)
Answer:
Yes
Step-by-step explanation:
Each Input has a different output making it a function
what is the answer? pls help
Answer:
for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal
to check this, we will use the following formula
y4 - y3 = y2 - y1
if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise
5 - 8 = 7 - 3
-3 = 4
LHS ≠ RHS
Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly
Therefore, option 4 (Not a line) is correct
Answer:
it is not a constant line
Step-by-step explanation:
each x value increases by 1, but the y values are all over the place and are in no order.
what’s 2x+y=4 in slope intercept form
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
Answer:
The complete question seems to be:
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
0.25 ≤ y ≤ 1
7 ≤ x ≤ 12
xy ≤ 8
What represents each variable?
7 ≤ x ≤ 12
We know that the doctor sees between 7 and 12 patients each day, and the smallest value of x is 7, and the largest is 12, then x must represent the number of patients that the doctors see in a given day.
0.25 ≤ y ≤ 1
now,
On Mondays and Tuesdays, each appointment is 15 minutes long.
An hour has 60 minutes.
Then 15 minutes = 15/60 hours = 0.25 hours.
On Wednesdays and Thursdays, they are 30 minutes.
30 minutes = 30/60 hours = 0.5 hours.
Then the possible value of the time for each appointment are {0.25, 0.5, 1}
Then the variable y must represent the time that each appointment takes.
xy ≤ 8
We know that:
x = number of patients in a given day.
y = time that the appointment takes in a given day.
x*y = total number of hours that he works in that given day.
and we know that he works, at maximum, 8 hours.
then the inequality xy ≤ 8 has sense.
Choose a line that is contained in plane s look at the picture for an example it’s an easy 50 pts cmon
the answer is line h
Answer:
h <3
Step-by-step explanation: