Answer:
a=9
Step-by-step explanation:
(3a+1)/7=4
This deals with linear equations with one unknown.
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a=9
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Step by Step Solution:
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*a+1)/7-(4)=0
Step by step solution :
STEP
1
:
3a + 1
Simplify ——————
7
Equation at the end of step
1
:
(3a + 1)
———————— - 4 = 0
7
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 7 as the denominator :
4 4 • 7
4 = — = —————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3a+1) - (4 • 7) 3a - 27
———————————————— = ———————
7 7
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3a - 27 = 3 • (a - 9)
Equation at the end of step
3
:
3 • (a - 9)
——————————— = 0
7
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(a-9)
——————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (a-9) = 0
Equations which are never true:
4.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : a-9 = 0
Add 9 to both sides of the equation :
a = 9
One solution was found :
a = 9
Hope this helps! Please mark Brainliest!
Please help!! I don’t know it
4(r + 20) = 1/5(20r + 400)
Answer:
r = r
Step-by-step explanation:
4(r + 20) = 1/5(20r + 400)
4r + 80 = 4r + 80
- 80 - 80
4r = 4r
4 4
r = r
Answer:
no solution
Step-by-step explanation:
4(r + 20) = 1/5(20r + 400)
4r + 80= 4r+ 80
-4r -4r
80= 80
Hope this helps
2
The units of the floor plan at the right are in feet. Find the
perimeter and area of each room.
a. the kitchen
Kitchen
Bedroom
b. the bedroom
c. the bathroom
20 ft
Main
hallway
d. the closet
Closet
Bathroom
e. What is the area of the main hallway? Explain how
you could find this area using the area of each room
20 ft
Answer:
Step-by-step explanation:
a). Perimeter of the kitchen = total length of all sides
= 4 + 2 + 2 + 6 + 6 + 12 + 10 (Since side of one smallest square = 2 feet)
= 42 ft
Area of the kitchen = Area of the composite figure
= 4² + 2² + (6 × 12)
= 16 + 4 + 72
= 92 square feet
b). Perimeter of bedroom = 2(length + width)
= 2(12 + 8)
= 40 feet
Area of the bedroom = Length × Width
= 12 × 8
= 96 square feet
c). Perimeter of the bathroom = 2(9 + 4) = 26 feet
Area of the bathroom = 9 × 4 = 36 square feet
d). Perimeter of the closet = 2(6 + 8) = 28 feet
Area of the closet = 6 × 8 = 48 square feet
e). Area of the hallway = Total area of the floor plan - area of the (kitchen + bathroom + bedroom + closet)
Area of the floor plan = 20 × 20 = 400 square feet
Area of the hallway = 400 - (92 + 96 + 36 + 48)
= 400 - 272
= 128 square feet
Steve and Brian are both avid bicyclists. Each week, Steve rides for a total of 2x hours at an average speed of x miles per hour.
sBrian rides 6 more hours a week than Steve, but at an average speed that is 4 miles per hour less than Steve's average speed.
Which of the following functions will give the total distance that Brian rides each week, in miles?
Answer:
m(x) = 2x^2 - 2x - 24
Step-by-step explanation:
We will use the speed formula for this.
d/t = s
d is distance
t is time
s is speed
since we are looking for a function that gives the distance, we must rewrite
the equation to have d on one side of the equation by itself. We will do this by multiplying both sides by t.
(d/t)t = (s)t
which simplifies to:
d = st
Now we must find out what s and t are.
t: Steve's time riding is 2x hours, and Brian's is 6 more hours, so
Brian's time riding is 2x + 6.
so t = 2x + 6.
s: Steve's speed is x mph. Brian's is 4 less than that so
s = x - 4.
Now we can plug in what we know the the formula we made: d=st
d = (2x + 6)(x-4)
now we can FOIL.
(2x)(x)= 2x^2
(2x)(-4)= -8x
(6)(x) = 6x
(6)(-4) = -24
d = 2x^2 - 8x + 6x - 24
simplify:
Answer: d = 2x^2 -2x - 24
p.s. This was my first time answering a question on Brainly, sorry if it
was not explained well. Let me know if you have questions.
The number of laps Jessica runs around the track is proportional to the times she spends running. She runs 12 laps in 1/2 hour. What is the constant of proportionality for the relationship between number of laps and number of hours
Answer:
6
Step-by-step explanation:
help me please !! ❤️❤️
Answer:
Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.
Step-by-step explanation:
f(x)=2(4)^x is it linear or exponential?
what is the slope or multiplier?
Graph, include a scale:
Answer:
[tex]f(x)=2(4)^x is \: exponential \\the \: slope \:or \: multiplier \: = 2[/tex]
PLEASE HELP ME OUT I ONLY HAVE 5 MIN TO TURN THIS IN!!!
WILL MARK BRAINLIEST!!! O///O
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Equation: y-intercept of 12, 5x – 4y = 1
Answer:
m=5/4
Step-by-step explanation:
i dont know how to do this i just used a website just copy your question into google search bar and look it up.
sam walks from home to his school which is 0.75 miles away in 12 minutes. how fast was he walking?
Answer:
3.75mph, or 0.0625 miles a minute
Step-by-step explanation:
12 times 5 is 60
.75 times 5 is 3.75
so he was walking mathematically 3.75 miles per hour
Answer:
3.75 mph
Step-by-step explanation:
12 minutes is 0.2 hours
0.75/0.2 = 3.75 mph
What is 0.233 as a fraction in simplest form.
Answer:
233/1000
Step-by-step explanation:
(i think) probably wrong
Answer:
i thing it's 236/1000
Step-by-step explanation:
i am not sure!!!
Helpppppp meeeeeeee help mee
Step-by-step explanation:
29x - 3 + 15x + 7 = 18 because these two angles are supplementary
29x + 15x + 7 - 3 = 18044x = 176 divide both sides by 44x = 413y - 17 = 29x - 3 because these two angles are alternate
since we know the value of x
13y - 17 = 29 × 4 - 313y - 17 = 11313y = 113 + 1713y = 130 divide both sides by 13y = 10Mark got 18 out of 25 questions correct on his science test. What percent of the questions did he get correct
Answer:
72%
Step-by-step explanation:
Turn the denominator to 100.
So: 18/25 times 4 equals 72/100
72/100= 72%
*You turn the denominator into 100 because all percents are out of 100.*
What is the x-intercept ?
Answer:
-3
Step-by-step explanation:
Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
The correct option is;
Corresponding angles theorem
Step-by-step explanation:
Type of lines of lines a and b = Horizontal and parallel lines
The transversal to a and b = Line c
The angles between a and c labelled clockwise from the upper left quarter segment = 1, 2, 4 and 3
The angles between b and c labelled clockwise from the upper left segment = 5, 6, 8 and 7
Therefore, we have;
Statement [tex]{}[/tex] Reason
1. a║b, c is a transversal [tex]{}[/tex] Given
2. ∠6 ≅ ∠2 [tex]{}[/tex] Corresponding angles theorem
3. m∠6 = m∠2 [tex]{}[/tex] Definition of congruent
4. ∠6 is supp. to ∠8 [tex]{}[/tex] Definition of linear pair
5. ∠2 is supp. to ∠8 [tex]{}[/tex] Congruent supplement theorem
Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.
3. A new a bank customer with $3,000 wants to open
a money market account. The bank is offering a
simple interest rate of 1.9%
a. How much interest will the customer earn in 20 years?
Answer:
In 20 years, the customer earns 1330
Step-by-step explanation:
I =Prt
the formula for simple interest
P= 3000
r = 1.9% (0.019)
t = 20 years
(3500)(0.019)(20)= 1330
6^9 divided by (6^3)^2
Answer:
6^9 over 6^9 is 1
What is the answer to the meaning of life, the universe, and everything
Answer:
no idea
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
The answer to this question is 42 this is calculated by a super computer named deep for over 7.5 million years.
What is P in p − 6 = −5
Answer is 1
This might help
What is f(4) for the function f(x) = 7x + 8?
f(4)=
Answer:
36
Step-by-step explanation:
you put x=4 into the equation. PLS MARK BRAINLIEST PLSSSS
The length of a violin string varies indirectly with the frequency of vibrations of the string. When the length is 50 centimeters, the
frequency is 2 Hz
What is the frequency of a string 40 centimeters long?
Enter your answer in the box
Answer:
The answer is 2.5
Step-by-step explanation:
On the quiz I just type anything and that was the answer
which is a unit rate? plis help :c
Answer:
6 hours : 1 book
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
help me plz me and my goat are thinking but not working
Answer:
2 terms, 3 factors
Step-by-step explanation:
the operation contains 2 values, each value has 3 factors
what is the formula for areas of a circle?
Answer: (A = π r²)
Hope this helps!
Lois Lane leaves Metropolis driving 50 km/h. Three hours later, Superman leaves Metropolis to catch up to her, flying at 300 km/h.
When does Superman catch up with Lois?
Superman will catch up ____ hours after Lois left Metropolis.
Answer:
0.6 hours
Step-by-step explanation:
50t=300(t-3)
50t= 300t - 900
-250t=-900
t=3.6
dont forget to subtract supermans time as well
3.6-3= 0.6
Answer:
0.6 hours
Step-by-step explanation:
Evaluatetheexpression
Answer:
Where's the expression?
Step-by-step explanation:
You forgot to include to expression in your question :)
4. 700 J of work is used to push an object for 12 seconds. What is the power of this machine?
Answer:
58.3333333333
Step-by-step explanation:
Last year at a certain high school, there were 50 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 8% and the number of girls on the honor roll decreased by 15%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). pls help
Answer:
46 for boys and 85 for girls
Step-by-step explanation:
Select the correct answer.
Which statement is true about the slope of the graphed line?
Answer:
A
Step-by-step explanation:
umm so for some reason I cant submit my answer unless theres 20 characters. :)
A number x minus 7 is at most 22?
Marco jogs 40.6 miles per week. He jogs every day. How many miles does Marco jog per day?
Answer:
5.8 miles per day.
Step-by-step explanation:
40.6÷7=5.8
Can I please have BRAINLIEST?
Answer:
Marco will jog 5.8 miles per day.
Step-by-step explanation:
40.6/7= 5.8 miles/day