Answer:
Equation is: x+15.27 = 72.50Solution to that equation: x = 57.23Interpretation: Last month's phone bill was $57.23========================================================
Explanation:
We'll make x the value of last month's phone bill. So if lets say x = 50, this means that last month's phone bill was $50. We don't know yet if x = 50 is the actual solution or not.
We're told that "This month's cell phone bill was for $15.27 more than last month's cell phone bill". This means this month's bill, in terms of x, is x+15.27 dollars. Whatever x is, we add 15.27 onto it getting this month's bill. This works because x is really a placeholder for a number.
Going back to x = 50, that would mean this months bill is x+15.27 = 50+15.27 = 65.27 dollars. We can see that we don't reach 72.50 that we're told the current months bill actually is. Since we don't have a match, this means x = 50 is too small. We can guess and check our way to hopefully land on the answer. However, using algebra is the most efficient method.
----------
The equation we need to solve is: x+15.27 = 72.50
This is because x+15.27 represents this month's bill and so does the 72.50, as your teacher gave in the instructions.
To solve this equation, we'll undo the "plus 15.27" to isolate x fully. The opposite of addition is subtraction. We'll subtract 15.27 from both sides
x+15.27 = 72.50
x+15.27-15.27 = 72.50-15.27
x = 57.23
Last month's phone bill was $57.23
As a check, adding 15.27 onto last month's bill should get us to 72.50
x+15.27 = 57.23+15.27 = 72.50
It works out, so we've confirmed the answer.
A taxi hurries for 1 hour 54min with a constant speed of 93km and then for another 5 hours 15min with a constant speed of 72km. What distance did it go
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km
1) If CB= 13; BF= 9; EF=7; Then DE=?
Round to the Hundredths.
(Hint: (whole secant)(external part) = (whole secant)(external part)
FIND DE=?
SHOW ALL WORK!!
HURRY I NEED IT FAST!!
WILL MARK BRAINLIEST!!
Answer:
if CB is 13 and BF is 9 than 13+9=22.So DF must be 22 too. If EF is 7 than 22-7=15 and DE is 15
Answer:
4
Step-by-step explanation:
Tony Stark earns 8% commission for every repulsor he sells. How much commission would Mr. Stark make on sales of $32,000,000?
Which one? It’s either simplify or no simplify
Answer:
simplify
Step-by-step explanation:
helpp pleaseee asap!!
Answer:
30 and 5 left over
Step-by-step explanation:
185/6=30.83333333
30x6=180
185-180=5 left
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
The radius of a circle is increased by 3 in., which increases the area by 100 in. Find the radius of the original circle. Round to the nearest hundredth.
Answer:
3.81 inches
Step-by-step explanation:
πr² + 100 = π(r+3)²
divide by π and simplify:
r² + (100/π) = r² + 6r + 9
100/π = r² + 6r + 9
31.8309886184 - 9 = r² +6r
r² = 6r - 22.8309886184
0 = 6r - 22.8309886184
22.8309886184 = 6r
divide by 6:
3.80516476973 ≈ 3.81 inches
can someone please help me asap
Answer:
[tex] \sin(52) = 0.9866[/tex]
Pls help me with this.
Answer the following question
Step-by-step explanation:
the answer is 4.8 hope it helps
Can Anybody Help Geometry Work Will Give Brainliest!
can someone plsss help me
Answer:
The equation for charge is = current x times
I need help fast!!!!!!
Answer:
28 Pi
Step-by-step explanation:
circumference = 24(2)(π) = 48π
arc ABC = 360° - 150° = 210°
210/360(48π) = 28 Pi
The measure of an angle is 77°. What is the measure of its complementary angle?
Answer:
13º
Step-by-step explanation:
Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.
Two semicircles are attached to the sides of a rectangle as shown.
(WILL GIVE BRAINLY IF RIGHT)
What is the approximate area of this figure?
Use 3.14 for pi.
Enter your answer in the box. Round only your final answer to the nearest whole number.
Answer:
157 in²Step-by-step explanation:
The area of the shape is the sum of three sections
1. Rectangle
A = 5*14 = 70 in²2. Bigger semicircle
A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)3. Smaller semicircle
A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)Total area:
70 + 77 + 10 = 157 in²answer:
157 inches²
step-by-step explanation:
we have to break this down into parts and find the area of each part and then add them up so we have the area for the whole thingrectangle:
5 X 14 = 70 inches²
big semicircle:
solve this like a simple circle and then divide by 2 since this is halfarea = πr²
insert what we know from the questionarea = (3.14)(7)²
the radius would be seven because as you can see the length of a side of the rectangle is 14 and this is also the diameter of the circle since they are attached and share itthe radius is half of the diameter so we get 7area = 3.14(49)
= 153.86 inches²
now divide this by 2 since it is semicircle153.86 / 2 = 76.93 inches²
small semicircle:
area = (3.14)(2.5)²
i followed the same method as last, except the numbers are differentarea = 3.14(6.25)
= 19.625 inches²
now divide by 219.625 / 2 = 9.8125 inches²
finally, add up all the separate areas you got70 inches² + 76.93 inches² + 9.8125 inches²
= 156.7425 inches²
= 157 inches²
Find the value of x please
Answer:
x=54
Step-by-step explanation:
55+54= 109
180-109=71
x+17=71
=54
(PLEASE HELP THIS IS A TEST) there are 216 students going on a field trip. Some are in vans in others are in buses. There are a total of seven vehicles. Each van holds 12 students and each bus holds 45 students. How many buses and vans will be needed for the trip
Answer:
4 buses and 3 vans
Step-by-step explanation:
45 students in 4 buses = 180
12 students in 3 vans = 36
180 + 36 = 216.
at home depot, each pink tile costs $5 and each grey tile costs $2. if u have a total budget of $120, how many of each color tile can you buy if you want to copy this pattern
Answer:
30 gray 12 pink
Step-by-step explanation:
if you put 60$ in each the gray will be (60:2= 30) and the pink will be (60:5=12)
22) area = 78.5 ft2
find diameter
Answer:
31.42 cm approx.
Step-by-step explanation:
it is what it is...
Okay, so Grayson only has 6 hours to read 240 pages before school tomorrow. If he reads at a constant speed of 35 pages per hour, will he have enough time to finish his reading homework before school? why or why not? Explain
Answer:
NO:For him to finish within 6hrs he need to read 40 pages per hour,but if he read 35 pages per hour,after 6 hrs he will be less 30 pages.
I need help and show work
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)
Answer:
5 * w = 15
w= 3
Hope this helps!
Answer:
5•15=w
(Is this subtracting from the total?)
was there more to this question that you didn’t include?
the circumference of a pizza is 44 inches find the radius of the pizza to the nearest tenth of a inch
Answer:
radius = 7
Step-by-step explanation:
Write an equation of the line from the table
Answer:
y=x+6
Step-by-step explanation:
x to y is always add 6.
This is why the equation is y=x+6
Hope this helps :)
CAN YOU SEE THIS AND IF SO IS IT THE RIGHT ANSWER? REWARD BRAINLIEST
Answer: A I think
Step-by-step explanation:
Answer: LOL its D
Step-by-step explanation:
Select all the equations where x = 3 is a solution.
Answer: A and C
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{x = 3}[/tex]
[tex]\large\textsf{Option A.}\downarrow\\\\\mathsf{x + 4 = 7}\\\mathsf{x = 3}\\\mathsf{3+4=7}\\\mathsf{3+4 =\bf 7}\\\mathsf{7 = 7}\\\\\\\large\text{Option A. could possibly be your answer}\checkmark[/tex]
[tex]\large\textsf{Option B. }\downarrow\\\\\mathsf{\dfrac{x}{9}=3}\\\\\mathsf{x = 3}\\\\\mathsf{\dfrac{3}{9}=3}\\\\\mathsf{\dfrac{3}{9}= \dfrac{1}{3}=\bf 0.333333}\\\\\mathsf{0.333333\neq 3}\\\\\large\text{Option B. is NOT your possible answer}[/tex]
[tex]\large\textsf{Option C. }\downarrow\\\mathsf{5-x =2}\\\mathsf{x = 3}\\\mathsf{5-3=2}\\\mathsf{5-3=\bf 2}\\\mathsf{2=2}\\\\\large\text{Option C. could possibly be your answer}\checkmark[/tex]
[tex]\large\textsf{Option D. }\downarrow\\\\\mathsf{8x = 32}\\\mathsf{x =3}\\\mathsf{8(3)=\bf 24}\\\mathsf{24\neq 32}\\\\\large\text{Option D. is NOT your possible answer}[/tex]
[tex]\large\textsf{Option E. }\downarrow\\\mathsf{x - 10=7}\\\mathsf{x =3}\\\mathsf{3-10=7}\\\mathsf{3-10=\bf -7}\\\mathsf{-7\neq7}\\\\\large\text{Option E. is NOT your possible answer}[/tex]
[tex]\boxed{\large\text{Answer: \boxed{\large\text{\bf Option A. x + 4 = 7 \& Option C. 5 - x = 2}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
1 day= ____________ seconds
Please show the work!!
Answer:
86400 seconds
Step-by-step explanation:
The unit of measurement "day" (symbol d) is defined as 86,400 SI seconds.
Answer:
86,400
Step-by-step explanation:
There is a 52% chance that a player will win a certain carnival game. Which statement describes the likelihood that a player will win the game?
A The player will definitely win the game.
B It is likely that the player will win the game.
C It is unlikely that the player will win the game.
D It is neither likely nor unlikely that the player will win the game.
Solve forn. (7^2)^4=n^8
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/n-(8/7)=0
Step by step solution :
STEP 1:
8
Simplify —
7
The equation at the end of step
1:
7 8
— - — = 0
n 7
STEP 2:
7
Simplify —
n
The equation at the end of step
2:
7 8
— - — = 0
n 7
STEP 3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : n
The right denominator is : 7
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 0 1 1
Product of all
Prime Factors 1 7 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
n 1 0 1
Least Common Multiple:
7n
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 7
Right_M = L.C.M / R_Deno = n
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • 7
—————————————————— = —————
L.C.M 7n
R. Mult. • R. Num. 8 • n
—————————————————— = —————
L.C.M 7n
Adding fractions that have a common denominator :
3.4 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:
7 • 7 - (8 • n) 49 - 8n
——————————————— = ———————
7n 7n
The equation at the end of step
3
:
49 - 8n
——————— = 0
7n
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 multiplies both sides of the equation by the denominator.
Here's how:
49-8n
————— • 7n = 0 • 7n
7n
Now, on the left-hand side, the 7n cancels out the denominator, while, on the right-hand side, zero times anything is still zero.
The equation now takes the shape :
49-8n = 0
Solving a Single Variable Equation:
4.2 Solve : -8n+49 = 0
Subtract 49 from both sides of the equation :
-8n = -49
Multiply both sides of the equation by (-1) : 8n = 49
Divide both sides of the equation by 8:
n = 49/8 = 6.125
One solution was found :
n = 49/8 = 6.125
Step-by-step explanation:
hope this helps...
The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is exponent?"It refers to the number of times a number is multiplied by itself.""For non-zero real numbers a, b, c, [tex](a^b)^c=a^{b\times c}[/tex]"For given question,
We have been given an equation [tex](7^2)^4=n^8[/tex]
Consider an algebraic expression on the left side of the above equation.
[tex](7^2)^4[/tex]
Using the properties of exponents we can write it as,
[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]
So, given equation becomes,
[tex]7^8=n^8[/tex]
Since power is same, base of above exponents is equal.
⇒ n = 7
Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
Learn more about the exponents here:
https://brainly.com/question/12158740
#SPJ2
please help me with this I will give you brainliest
Answer:
no it is not
Step-by-step explanation:
Let's use the Pythagorean theorem for this
a^2+b^2=c^2
60^2+63^2=88^2
3600+3969=7744
7569≠7744
This means that this triangle isn't a right triangle
