Answer: 53, 54, 55, and 56
Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.
4 consecutive numbers can be represented as followed.
X ⇒ first number
X + 1 ⇒ second number
X + 2 ⇒ third number
X + 3 ⇒ fourth number
Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.
X + X + 1 + X + 2 + X + 3 = 218
On the left side of the equation, we can combine our x's and our numbers.
4x + 6 = 218
-6 -6 ← subtract 6 from both sides of the equation
4x = 212
÷4 ÷4 ← divide both sides of the equation by 4
X = 53
X ⇒ first number = 53
X + 1 ⇒ second number = 54
X + 2 ⇒ third number = 55
X + 3 ⇒ fourth number = 56
Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.
Maria had 7 boxes. A week later there was a fire. After the fire she had 22 boxes how many boxes did Maria start with?
Answer:
15
Step-by-step explanation:
Thank me and follow me plz
Answer:
15 bc 22-7 = 15
Step-by-step explanation:
A payday loan store charges $35 for a one-month loan of $700. What annual interest rate is this equivalent to?
%
Answer:
SOOO you got a loan wich means you recieved 700 dollars. u pay 35 dollars each month...
so basically 35*12 wouuld be what u would pay for a year
so 420 dollars is for one year- and yet u got a 700 dolllar loan so u actually are only paying 420 dollars which is 280 interest
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
The monthly rate is:
35/700 = 0.05
There are 12 months in a year, so the annual rate is:
12 × 0.05 = 0.6
The annual interest rate is 60%.
please fill in the blanks:
The graph of this relationship is a ______.
The slope of the graph is ______.
Step-by-step explanation:
y = mx + b
Your equation is y = 3/5x, which means you're "missing" the B
Whichhhhh, just means you're starting at (0,0)
Now, m represents the slope. So your slope was given right off the bat, 3/5.You start at (0,0) and you count up 3, and right 5. Or you could do down 3 and left 5This gives you a line with a slope of 3/5Hopefully my drawing kind of explains it better
the relationship between time and the distance remaining on a 3 mile walk at a steady rate of 2 miles per hour
Answer:
The Time taken to cover the distance of 3 miles at the speed of 2 miles per hour is 1.5 hours
Step-by-step explanation:
Given as :
The distance cover while walking = 3 miles
The Speed with which it walk 3 miles = 2 miles per hour
Let the time taken to cover the distance = T hours
Now,
∵ Time = [tex]\dfrac{\textrm Distance}{\textrm Speed}[/tex]
Or, T = [tex]\dfrac{\textrm 3}{\textrm 2}[/tex]
∴ T = 1.5 hours
So, time taken is 1.5 hours
Hence The Time taken to cover the distance of 3 miles at the speed of 2 miles per hour is 1.5 hours Answer
maxwell wants a new phone for his 25th birthday. the one he wants cost $860 to purchaseand an additional 75 a month. his parents are willing to pay for half of the cost of the phone as a birthday gift present as long as maxwell pays the other half and the monthly charge . how much will maxwell spend after 5 month's
Answer:
805
Step-by-step explanation:
First we need to find half of 860
860÷2=430 because the parents are paying for tht
the other 430 he has to pay .
there is an additional charge of 75 dollars every month for 5 months .
75×5=375
now we need to add up his half 430 & the monthly fees for 5 months 375
430 +375=805
Two similar FOR SALE signs have a scale factor of 5:3. The largest sign’s perimeter is 60 inches. Find the small sign’s perimeter.
The small sign's perimeter is 36 inches
Step-by-step explanation:
The scale factor between two figures is obtained by:
[tex]Scale = \frac{P_{l}}{P_{s}}[/tex]
So,
We know that
[tex]Scale= 5:3\\P_l = 60\ in\\[/tex]
Putting the values in the above equation of scale factor we get
[tex]\frac{5}{3} = \frac{60}{P_s}[/tex]
Cross multiplication
[tex]5 * P_s = 60*3\\5P_s = 180[/tex]
Dividing both sides by 5
[tex]\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36[/tex]
Hence,
The small sign's perimeter is 36 inches
Keywords: Scale factor, Ratio
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Question 6
What form is this?
AX + By = C
Your answer:
Answer:
It's in standard form.
Answer:
Standard Form
Step-by-step explanation:
Today only, a table is sold at a 24% discount. The sale price is $589. What was the price yesterday
Answer:
730.36
Step-by-step explanation:
.24 × 589= 141.36
141.36+589=730.36
so the original price would be 730.36
5 movie tickets cost $45.00
Answer:
1 movie ticket costs $9. I hope this helps!
Step-by-step explanation:
Are you wondering how much the tickets would cost seperatly? If that's the case then you would divide $45 by 5 which would be $9 for each ticket.
Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Answer:
The rational zero of the polynomial are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex] .
Step-by-step explanation:
Given polynomial as :
f(x) = 4 x³ - 8 x² - 19 x - 7
Now the ration zero can be find as
[tex]\dfrac{\textrm factor of P}{\textrm factor Q}[/tex] ,
where P is the constant term
And Q is the coefficient of the highest polynomial
So, From given polynomial , P = -7 , Q = 4
Now , [tex]\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}[/tex]
I.e [tex]\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}[/tex] = [tex]\frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }[/tex]
Or, The rational zero are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex]
Hence The rational zero of the polynomial are [tex]\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1[/tex] . Answer
determine the product (4.2×10^-1)+(5.7+10^-1)
Answer: 6.22
Step-by-step explanation:
Factor the expression.
15x2 - 34x + 15
Answer:
You should get (5x-3)(3x-5)
Answer:
(5x - 3) (3x - 5)
CHECK:
(5x - 3) (3x - 5)
15x^2 - 9x - 25x + 15
15x^2 - 34x + 15
In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 629 grams of copper. How many grams of zinc does it contain?\
PLZZZZZZZZ HELP
Answer:
[tex]111\ grams\ of\ zinc[/tex]
Step-by-step explanation:
Let
x -----> grams of zinc
y ----> grams of copper
we know that
[tex]\frac{x}{y}=\frac{3}{17}[/tex] -----> equation A
For y=629 grams of copper
substitute in the equation A and solve for x
[tex]\frac{x}{629}=\frac{3}{17}[/tex]
[tex]x=\frac{3}{17}(629)[/tex]
[tex]x=111\ grams\ of\ zinc[/tex]
A student simplified the expression 5x - 3( x + 4) to 2x + 12p
The simplified expression will be equal to - 6x² - 24x + 12p
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols; which can also be used to indicate the logical syntax's order of operations and other features.
Given that 5x - 3( x + 4)2x + 12p
Solving;
5x - 3( x + 4) 2x + 12p
5x - 3(2x² + 8x) + 12p
5x - 6x² - 24x + 12p
- 6x² - 24x + 12p
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Match the numerical expressions to their simplified forms
Answer:
4
2
3
1
Step-by-step explanation:
[tex]$ (a^x)^{\frac{1}{y}} = a^\frac{x}{y} $[/tex][tex]$ \frac{a^x}{a^y} = a^{x - y} $[/tex]1) [tex](p^6.q^{{\frac{3}{2}}})^{{\frac{1}{3}}}[/tex]
Therefore, [tex]$ p^{\frac{6}{3}}.q^{\frac{3}{2}.\frac{1}{3}} $[/tex]
[tex]$ \implies p^2.q^{\frac{1}{2}} $[/tex]
2) [tex]$ \frac{p^5}{p^{-3}q^{-4}} $[/tex]
[tex]$ = p^5.p^3.q^4 = p^8.q^4 $[/tex]
Now, [tex]$ (p^8q^4)^{\frac{1}{4}} $[/tex]
[tex]$ \implies p^{\frac{8}{4}}.q^{\frac{4}{4}} $[/tex]
[tex]$ = p^2. q $[/tex]
3) [tex]$ (\frac{p^2.q^7}{q^4} )^{\frac{1}{2} $[/tex]
[tex]$ \implies p^{{\frac{2}{2}}}.q^{\frac{3}{2}} $[/tex]
[tex]$ \implies pq^{\frac{3}{2}} $[/tex]
4) [tex]$ \frac{(pq^3)^{{\frac{1}{2}}}}{(pq)^{{\frac{-1}{2}}}} $[/tex]
[tex]$ \implies p^{{\frac{1}{2}}}q^{{\frac{3}{2}}}. p^{{\frac{1}{2}}}.q^{{\frac{1}{2}}}} $[/tex]
[tex]$ = pq^2 $[/tex]
Hence, the answers.
Joan is sky diving from 3,5000 feet Before opening her parachute she descends at a rate of 80 feet per second what will be her height after 4 seconds of falling at this rate
Step-by-step explanation:
This should give you an idea the acceleration here is 9.81 because gravity and the equation is a kinematic equation
In △ABC, point P∈AB so that AP:BP=1:2. Point R ∈ PB that PR:BR=1:2. Point Q∈BC so angle BQR = angle BCP. Find ratio of PQC to ABC.
Answer:
Ratio of PQC to ABC is 2:9.
Step-by-step explanation:
In ΔBRQ and ΔBPC
∠BQR = ∠BCP (given) and ∠B is common for both triangles, so from AAA similarity ΔBRQ and ΔBPC are similar.
⇒ BQ : QC = BR : RP = 2 : 1 →(1)
now draw perpendiculars from points A and P to BC line segment. Call the projected points as A' and P'.
It is clear that lines AA' and PP' are parallel. So in ΔBPP' and ΔBAA' we have AAA similarity with common angle at B.
⇒PP' : AA' = BP : BA = 2 : 3 →(2) (∵ AP : PB = 1 : 2)
area of ΔPQC = 0.5×PP'×QC
area of ΔABC = 0.5×AA'×BC
area of ΔPQC : area of ΔABC = (0.5×PP'×QC)/(0.5×AA'×BC)
=(PP'/AA')×(QC/BC)
=(2/3)×(1/3) (∵ from (1) and (2))
=2/9.
∴ Ratio of PQC to ABC is 2:9
Point M is located at (-6, 6) What is located 5 units from point M
The points located 5 units from the point M (-6, 6) are (-1, 6), (-11, 6), (-6, 11) and (-6, 1).
To find a point located 5 units from point M in any direction, you can use the coordinates of point M and adjust them based on the distance.
If point M is located at (-6, 6), and you want a point 5 units away, you can choose a direction (left, right, up, or down) and adjust the coordinates accordingly.
For example, if you want a point 5 units to the right of M, you add 5 to the x-coordinate:
[tex]x_{new[/tex] = -6 + 5 = -1
So, a point located 5 units to the right of M is (-1, 6).
If you want a point 5 units to the left of M, you subtract 5 from the x-coordinate:
[tex]x_{new[/tex] = -6 - 5 = -11
So, a point located 5 units to the left of M is (-11, 6).
Similarly, the y-coordinate can be modified for points 5 units above or below M.
For example, if you want a point 5 units to the top of M, you add 5 to the y-coordinate:
[tex]y_{new[/tex] = 6 + 5 = 11
So, a point located 5 units to the top of M is (-6, 11).
If you want a point 5 units to the bottom of M, you subtract 5 from the y-coordinate:
[tex]y_{new[/tex] = 6 - 5 = 1
So, a point located 5 units to the bottom of M is (-6, 1).
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
53 degrees
Step-by-step explanation:
Since we don't know the measure of the radius
UZ =127
UX=127
ZX =154
360-154= 106
106/2=53
XY=53
YZ=53
If you are paid $238.74 for 211 2 hours of work, what amount should you be paid for 34 hours of work at this same rate of pay?
Answer:
3.84335227
Step-by-step explanation:
like the photo
Working her way through school, Julie works two part-time jobs for a total of 35 hours a week. Job A pays $6.10 per hour, and Job B pays $7.40 per hour. How many hours did she work at each job the week that she made $235.60? (Round to two decimal places if necessary.)
Answer:
Julie worked 18 hours at Job A and 17 hours at Job B.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Rate per hour at Job A = US$ 6.10
Rate per hour at Job B = US$$ 7.40
Hours at Job A = x
Hours at Job B = 35 - x
Total of hours worked by Julie = 35 hours
Total weekly earnings = US$ 235.60
2. How many hours did she work at each job the week that she made $235.60?
For finding the result, we will use the following formula:
6.10x + 7.4 (35 - x) = 235.60
6.10x + 259 - 7.4x = 235.60
-1.3x = 235.60 - 259 (Subtracting 259 to both sides)
-1.3x = - 23.40
x = -23.4/-1.3 (Dividing by -1.3)
x = 18
Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.
3. Proof that x = 18 is correct.
6.10x + 7.4 (35 - x) = 235.60
6.10 (18) + 7.4 (35 - 18) = 235.60
109.80 + 125.80 = 235.60
235.60 = 235.60
It's proven that x = 18 is correct.
Answer:
Step-by-step explanation:
Let x represent the number of hours worked at Job A and 35-x represent the number of hours worked at Job B.
($6.10 × x) +$7.40 × (35-x) =$235.60
Solving for x
$6.10x + $259 - $7.40x = $235.60
Collect like terms and solve for x
$6.10x-$7.40x=$235.60-$259
-$1.3x=-$23.4
x=18hours for Job A while 35-x=17hours for Job B
If a certain brand of icecream is 99% fat free, how many cups would you have to eat to ingest the same amount of fat that would be in 1 cup of regular icecream?
Answer:
10,000 cups
Step-by-step explanation:
Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2
Let's suppose a cup of regular ice cream would have 100 parts of fat.
The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.
If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it
These numbers won't change if we used another number instead of 100 in the example shown.
Cheryl and Sean shared tips in the ratio 5:2, Sean received £10, how much did Cheryl receive last week
Cheryl received £25 last week.
Step-by-step explanation:
Cheryl and Sean shared tips in ratio 5:2
Amount received by Sean = £10
Let,
Amount received by Cheryl = x
Using proportion;
Ratio of Cheryl and Sean's tips :: Ratio of amount received
[tex]5:2::x:10[/tex]
Product of mean = Product of extreme
[tex]2*x=5*10\\2x=50[/tex]
Dividing both sides by 2;
[tex]\frac{2x}{2}=\frac{50}{2}\\x= \£25[/tex]
Cheryl received £25 last week.
Keywords: ratio, proportion
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• What is the solution to 5x+ 20 = 7(x+2)?
For this case we must find the solution of the following equation:
[tex]5x + 20 = 7 (x + 2)[/tex]
Applying distributive property on the right side of the equation we have:
[tex]5x + 20 = 7x + 14[/tex]
Subtracting 7x from both sides of the equation:
[tex]5x-7x + 20 = 14\\-2x + 20 = 14[/tex]
Subtracting 20 from both sides of the equation:
[tex]-2x = 14-20[/tex]
Different signs are subtracted and the major sign is placed.
[tex]-2x = -6[/tex]
Dividing between -2 on both sides of the equation:
[tex]x = \frac {-6} {- 2}\\x = 3[/tex]
Thus, the solution of the equation is[tex]x = 3[/tex]
Answer:
[tex]x = 3[/tex]
Bill has x pence.
Ben has twice the amount of money that Bill has.
Write down, in terms of x, the number of pence that Ben has.
Answer:
2X
Step-by-step explanation:
bill has X and Ben has twice X so Ben has 2X
If Bill has x pence, the number of pence that Ben has will be 2x.
What is a linear equation?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.
The linear equation is shown as, y=mx.
It is given that,
Bill has x pence.
Ben = 2 × amount of money that Bill has
Ben = 2x
Thus, if Bill has x pence, the number of pence that Ben has will be 2x.
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Factoring a Linear Binomial
Please include steps:
7u-14
Answer:
7u-14
= 7(u-2)
Therefore the factors are 7 and (u-2)
Hope this helps!
Which equation is equivalent to n + 4 = 11?
Answer:
the equations n + 7= 11
Step-by-step explanation:
if your asking for the same equation
(not totally sure)
Answer:
n=7
Step-by-step explanation:
so move 4 to the other side so subtract cuz it's a positive number so it will be
n=7 so 7+4=11
Solve inequalities.
Solve step by step
10. 7n - 1 < -8
11. 3 > -7v + 4v
Answer:
10. 7n - 1 < -8
Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:
7n - 1 (+1) < - 8 (+1)
7n < - 8 + 1
7n < - 7
Isolate the variable, n. Divide 7 from both sides:
(7n)/7 < (-7)/7
n < -7/7
n < -1
n < -1 is your answer.
11. 3 > -7v + 4v
Combine like terms, then isolate the variable, v. First, add -7v and 4v together.
3 > (-7v + 4v)
3 > (4v - 7v)
3 > (-3v)
Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:
(3)/-3 > (-3v)/-3
3/-3 > v
-1 < v
v > -1 is your answer.
~
Ashlynn rides her bike 2 miles to school and 2 miles home each day. How many total miles will Ashlynn ride her bike to school and home in 40 days?
Answer:
160
Step-by-step explanation:
2+2=4
4 x 40= 160
The mile symbol 'm' was commonly used before the widespread adoption of the metric system. The total miles taken by Ashlynn to ride her bike to school and home in 40 days is 160.
What is a mile?A mile is defined as the unit of length which is exactly equal to 5280 feet or 1760 yards and it is standardized as exactly 1609.344 meters. It is the largest unit which is commonly used to measure the distance between places that are far from each other.
Here the total miles covered by the bike is 2 + 2 = 4
The total miles covered by Ashlynn = 4 × 40 = 160
A mile is a customary unit of distance. It is commonly used to express the distance between cities, roads and the lengths of the rivers. The symbol of mile is denoted as 'mi'.
Thus the total miles is 160.
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f(x) = 5x6 g(x) = 15x -2 what is f(x)/g(x)
Answer:
[tex]\displaystyle \frac{x^5}{3} + \frac{2x^4}{45} + \frac{4x^3}{675} + \frac{8x^2}{10125} + \frac{16x}{151875} + \frac{32}{2278125} + \frac{64}{2278125[15x - 2]} = \frac{f(x)}{g(x)}[/tex]
All work is shown above. ↑
I am joyous to assist you anytime.