Claire and Jordan will be at the bank on the same day after 35 business days.
Given: Claire goes to the bank every 5 business days, Jordan goes every 7 business days. To find out how many days they will go to the bank on the same day.
What is LCM?
LCM is the least common multiple. It is the lowest multiple which occurs in all the multiple of numbers for a given set of numbers or it is the least common number which can be divisible by all the numbers given for a given set of numbers.
Why is LCM important?
LCM is important because it helps us to find the lowest number which can be divisible for a given set of numbers. It also helps in determining the denominator for the difference and addition of fractions.
Let's solve the given problem.
Given that Claire goes to bank every 5 days and
Jordan goes to bank every 7 days.
Also both Claire and Jordan is present in the bank on the same day.
Now if we observe the question, we see that it is only possible for Claire and Jordan to go to the bank on the same day when the day is a common multiple for both 7 and 5.
Therefore, the minimum number of days after which Claire and Jordan will go to the bank on the same day is LCM(7, 5) that is 35.
Hence Claire and Jordan will be at the bank on the same day after 35 business days.
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I want to know the/
X-intercepts
Y-intercepts
Answer:
x-intercept = .5 y-intercept = 1
Step-by-step explanation:
the x-axis is crossed at .5 and the y-axis is crossed at 1.
Step-by-step explanation:
the x-intercept (crossing the x-axis) is represented by the x value when y = 0.
and the y-intercept by the y value, when x = 0.
so, as we can see in the graphic, the x-intercept is at x = 0.5, and the y- intercept at y = 1.
so, the ordered pairs are
x-intercept (0.5, 0)
y-intercept (0, 1)
a line can have only one of each intercept (never like 2 or 3 y-intercepts). in some cases (parallel to a coordinate axis) it might not have one of these intercepts.
Which method is correct for squaring a binomial expression of the form ax + b, where a and b are real numbers and x is a variable?
Squaring the binomial ax+b:
\(\begin{gathered} (ax+b)(ax+b)=(ax)\placeholder{⬚}^2+(ax)(b)+(ax)(b)+(b)\placeholder{⬚}^2 \\ (ax+b)(ax+b)=(ax)\placeholder{⬚}^2+2(ax)(b)+(b)\placeholder{⬚}^2 \end{gathered}\)As you can see above to square the given polynomial using the method A you get at the end the formula given in method B.
Then, both methods are correctthe area of a circle is 9 pi m^2 what is the circumference in meters
Answer:
6pi meters
Step-by-step explanation:
The formula for area of a circle is
A = pi r^2
9 pi = pi r^2
Divide each side by pi
9 = r^2
Take the square root of each side
sqrt(9) = sqrt(r^2)
3 =r
Now we can find the circumference
C = 2 * pi *r
C = 2 * pi *3
C = 6pi meters
Answer:
6pi meters
Step-by-step explanation:
give the person above brainliest
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What three ratios are equivalent to 10:12
Answer:
5:6, 20:24, 30:36
Step-by-step explanation:
On Monday Tino, explored a cave that was 127 feet below sea level, and on Tuesday he explored a cave that was 203 above sea level. What is the difference in the sea level of the two caves?
please help me find the correct answer to this!
Answer:
D) x=-1, x=-9
Step-by-step explanation:
x=-1, x=-9
Can someone help me with this trig question please
Answer:3 if 6 divided by 2 because 2 times 3 is 6
Step-by-step explanation:2 times 3 I guess really trig in my opinion im only in middle school
Answer:
We know that in Quadrant 1, both sin x and cos x are positive
We are given:
cosec x = √6 / 2
Since Sin x is 1/ cosec x:
Sinx = 1/cosecx
Sinx = 1/(√6 / 2)
Sinx = 2 /√6
From the pythagoras theorem,
Sin²x + cos²x = 1
Replacing the value of SinΘ
(2 / √6)² + cos²x = 1
4 / 6 + cos²x = 1
cos²x = 1 - (4 / 6)
cos²x = 2 / 6
cosx = √(2 /6)
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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After one quarter (year), the interest on a principal of $1000 is $8.75.
Find the rate. Write your answer as a percent.
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)
Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 10/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 2 × 5/√3
Hypotenuse, x = 10/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Three girls (Zeva, Abby and Jenny) went to the hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hair style and the hair color?
1. Zeva helped the girl with the straight hair and the girl with the blonde hair figure out the tip to leave.
2. Abby helped the girl with the red hair and the girl with the blonde hair find hair accessories.
3. The girl with the blonde hair and the girl with the girl with the red wavy hair left before the girl with straight hair.
Answer:
Jenny= Blonde/Curly
Abby= Black/Straight
Zeva= Red/Wavy
Step-by-step explanation:
Answer:
IT IS C (=_=)
Step-by-step explanation:
Choose the definition for the function PLS HELP
Answer:
Which function please explain
HELP MEEE ‼️‼️‼️ MATH IS HARD.
The answer to the following are below:
Total water area for Alabama and Florida = 2.9 × 10⁷
Total water area for Hawaii and Michigan = 8.5 × 10⁷
Difference of water area of Florida and Hawaii = 3.3 × {10}^{- 1}
Difference of water area of Michigan and Alabama = 2.3 × 10¹
What is the total water area?Alabama = 1.7 × 10³
Florida = 1.2 × 10⁴
Hawaii = 4.5 × 10³
Michigan = 4.0 × 10⁴
Total water area for Alabama and Florida = (1.7 × 10³) + (1.2 × 10⁴)
= (1.7 + 1.2) × {10}^{3 + 4}
= 2.9 × 10⁷
Total water area for Hawaii and Michigan = (4.5 × 10³) + (4.0 × 10⁴)
= (4.5 + 4.0) × {10}^{3 + 4}
= 8.5 × 10⁷
Difference of water area of Florida and Hawaii = (4.5 × 10³) - (1.2 × 10⁴)
= (4.5 - 1.2) × {10}^{3 - 4}
= 3.3 × {10}^{- 1}
Difference of water area of Michigan and Alabama = (4.0 × 10⁴) - (1.7 × 10³)
= (4.0 - 1.7) × {10}^{4 - 3}
= 2.3 × 10¹
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Solve the following formula for a.
Answer:
B is correct .trust me
Step-by-step explanation:
A tennis racket normally costs $70. The tennis racket is on sale for 30% off. What is the sale price of the tennis racket?
What’s the answer for this please
The graph of the function with asymptotes at x = -2, and x = 3, and x-intercept of (3, 0), indicates that the possible equation graphed is of the form;
\(f(x) = \frac{-6\cdot (x -2)}{(x + 2)\cdot (x -3)}\)
What is an asymptote of the graph of a function?An asymptote is the line which the graph of the function approaches when the input value of the function approaches infinity or minus infinity.
The asymptotes of the graph of the function are; x = -2, and x = 3
The possible denominators of the function are therefore; (x + 2) and (x - 3)
The value of the function when x = 0 is -2, therefore;
Numerator ÷ ((0 + 2)×(0 - 3)) = -2
When x = 0, the numerator = ((0 + 2)×(0 - 3)) × -2 = 12
The expressions in the denominator of the function, (x + 2), and (x - 3), and the shape of the graph with a x-intercept of 2, indicates that we get;
The possible numerator is; 6·(x - 2)
The equation for the function graphed is; f(x) = (6·(x - 2))/((x + 2)·(x - 3))
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SHOW WORK: Evaluate f(-2) with f(x)=3x+1 *
Answer:
f(2) = 7
Step-by-step explanation:
Solve for f(-2) in f(x) = 3x + 1
x = -2
Plug in -2 for x in the equation:
f(2) = 3(2) + 1
Remember to follow PEMDAS. First, solve the multiplication, then add:
3 * 2 = 6
6 + 1 = 7
f(2) = 7 is your answer.
~
Step-by-step explanation:
\({:}\longrightarrow\)\(\sf f (x)=3x+1 \)
\({:}\longrightarrow\)\(\sf f (-2)=3 (-2)+1 \)
\({:}\longrightarrow\)\(\sf f (-2)=-6+1 \)
\({:}\longrightarrow\)\(\sf f (-2)=-5\)
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her. if they both had a total of 260 stickers, how many stickers did Sally have to start?
There are 125 stickers did Sally have to start.
We have to given that,
Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her.
Let us assume that,
Joe had x stickers to start with.
Since, After Joe gave 1/5 of his stickers to her.
He have 4/5 of his original amount left.
That is, 4/5x
Since, Sally had 52 more stickers than Joe
Hence, We get;
4/5x + 52 = 1/5x + y .. (i)
where y is the number of stickers Sally had to start with.
Here, they both had a total of 260 stickers,
Hence,
x + y =260 .. (ii)
From (i) and (ii);
y = 125
Thus, There are 125 stickers did Sally have to start.
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Does anyone know how to solve this?
HELP WILL GIVE BRAINLIEST AND DON’T TAKE THE POINTS IF YOU DON’T KNOW IT
how many fourths in 1/4
Answer:
1
Step-by-step explanation:
a fourth is 1/4 meaning Fourth = 1/4
is - 5/1 a integer?
Hi! free one hundred points for anyone who answers also whoever answers ill give brainiest!
Answer:
what is your question?
Step-by-step explanation:
Answer:
Central Pacific
Step-by-step explanation:
built a track from Sacroimento eastward
fill in the table using the function rule y=3x+5
Fill in the table using the function rule y= 3x + 5
________________________________________
Replace each value of x in the expression
____________________________________
x= -4
y = 3* (-4)+5
= -12 +5
= -7
_______________
x= -2
y = 3* (-2)+5
= -6 +5
= -1
_____________
x= 0
y = 3* (0)+5
= 0 +5
= 5
_____________
x= 2
y = 3* (2)+5
= 6 +5
= 11
______________________________
Answer
_________________________
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Tyere and his two brothers decide to split the cost of a new CD. If the CD costs $12.75, how much did each brother pay?
Answer:
6 dollars
Step-by-step explanation:
12+12 =6
an air traffic controller is tracking two planes. to start plane A is at the altitude of 4000 feet and plane B is at an altitude of 3146 feet. plane A is gaining altitude at 33.5 feet per second and plane B is gaining altitude at 50.75 feet per second
the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.
What is plane?A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.
Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:
altitude of plane A = 4000 + 33.5t
altitude of plane B = 3146 + 50.75t
where t represents time in seconds.
To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:
4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:
854 + 33.5t = 50.75t
Subtracting 33.5t from both sides, we get:
854 = 17.25t
Dividing both sides by 17.25, we get:
t = 49.45 seconds
Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:
altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet
Using the equation for plane B, we get:
altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet
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The table shows how many Calories Lance burns jogging on a treadmill for different lengths of time. Lance's goal today is to burn 380 Calories. If he has been jogging for 25.5 minutes, for how many more minutes does he still need to jog? Assume the situation is proportional.
Lance needs to jog for an additional 316.08-25.5 = 290.58 minutes to burn 380 Calories.
The information given in the table to produce a direct equation that relates the number of Calories burned to the time spent jogging. Let's use the pitch- intercept form y = mx b, where y represents the number of Calories burned( in hundreds), x represents the time spent jogging( in twinkles), m represents the rate of Calories burned( in hundreds per nanosecond), and b represents the original Calories burned( in hundreds). To find m, we can use the points( 10, 13) and( 15, 19), which represent two ordered dyads on the line. We can find the pitch of the line using the pitch formula
m = ( y2- y1)/( x2- x1) m = ( 19- 13)/( 15- 10)
m = 1.2 So the equation for the line is y = 1.2 x b.
To find b, we can use the point
( 10, 13) = 1.2( 10) b b = 0.7
So the complete equation for the line is y = 1.2 x0.7 Now we can use this equation to break for x, the number of twinkles Lance needs to jog to burn 380 Calories.
380 = 1.2 x0.7 = 1.2 x x = 316.08
So Lance needs to jog for an additional 316.08-25.5 = 290.58 minutes to burn 380 Calories.
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