Answer:
350 divided by 70
Step-by-step explanation:
350 by 5= 70 350 by 70 = 5
Hope this helps
Answer:
70
Step-by-step explanation:
PLEASE HELP ME! If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁? (I need the steps too please).
Answer:
[tex]\displaystyle a_1 = 44[/tex]
Step-by-step explanation:
Recall the direct formula for an arithmetic sequence:
[tex]\displaystyle a_n = a_1 + d(n-1)[/tex]
Where d is the common difference.
Therefore, we can write the following two equations:
[tex]\displaystyle \left \{ {a_4 = 107 = a_1 + d(4-1)\atop {a_8 = 191 = a_1 + d(8-1)}} \right.[/tex]
Solve the system. Simplifying yields:
[tex]\displaystyle 107 = a_1 + 3d\text{ and } 191 = a_1 + 7d[/tex]
Subtracting the two equations into each other yields:
[tex]\displaystyle \begin{aligned} (191) - (107) & = (a_1 + 7d) - (a_1 + 3d) \\ \\ 84 & = 4d \\ \\ d & = 21 \end{aligned}[/tex]
Using either equation, solve for the initial term:
[tex]\displaystyle \begin{aligned} 107 & = a_1 + 3(21) \\ \\ a_1 & = 107-63 \\ \\ & = 44\end{aligned}[/tex]
In conclusion, the initial term is 44.
Answer:
[tex]\huge\boxed{\bf\:a_{1} = 44}[/tex]
Step-by-step explanation:
In the given arithmetic series,
[tex]a_{4} = 107[/tex][tex]a_{8} = 191[/tex][tex]a_{1} = ?[/tex]We know that,
[tex]\boxed{a_{n} = a + (n - 1)d}[/tex]
Therefore,
[tex]a_{4} = a + 3d = 107 -----(1)\\a_{8} = a + 7d = 191 -----(2)[/tex]
By solving the two equations (1) & (2)....
[tex]\:\:\:\:a + 7d = 191 \\-\underline{a + 3d = 107 }\\ \underline{\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:4d = 84\:\:\:\:\:\:\:\:}}\\\\\\\\4d = 84\\d = 84 \div 4\\\boxed{d = 21}[/tex]
Now, we have the value of the common difference (d). To find [tex]a_{1}[/tex] or a, let's substitute the value of 'd' in (1).
[tex]a + 3d =107\\a + 3(21)=107\\a + 63 = 107\\a = 107 - 63\\\boxed{\bf\:a_{1} = 44}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Miquel runs 5 days a week. He runs 2 7/10 miles each day that he runs. What is the total number of miles Miguel runs each week?
Answer:
13.5
Step-by-step explanation:
If he runs five times a week and his route is 2 7/10 then you do 5x2 7/10
jack is a single-father of two children. he earns a net income of $3000 each month and is considering getting a second job to make end meet. his grocery shopping methods are erratic with random tips throughout the week. he typically spends $600 a month on food. what percent of his bet income is going toward food? should he consider budgeting more or less for groceries
Answer:20%
Step-by-step explanation:
Solution for 600 is what percent of 3000:
600:3000*100 =
( 600*100):3000 =
60000:3000 = 20
Now we have: 600 is what percent of 3000 = 20
Question: 600 is what percent of 3000?
Percentage solution with steps:
Step 1: We make the assumption that 3000 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that $100%=3000.
Step 4: In the same vein, x%=600.
Step 5: This gives us a pair of simple equations:
$100%=3000(1).
x%=600(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / %=3000/600
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100%=600/3000
--->=20%
Therefore, $600 is $20% of $3000.
read above please :D
describe a set of transformatios that would map red triangle to the blue triangle
The set of transformations that would map the red triangle to the blue triangle are translation by 2 units up and 4 units left
How to determine the set of transformations?From the graph, we have the following highlights:
The red triangle is at the top of the blue triangle by 2 unitsThe red triangle is at the left of the blue triangle by 4 unitsThis means that the transformation is 2 units up and 4 units left
Hence, the set of transformations that would map the red triangle to the blue triangle are translation by 2 units up and 4 units left
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Read more about transformation at:
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What is the volume of this figure?
Match the median to the data set.
101, 108, 98, 105, 94. 106
median = 103
98, 100, 103,107, 108, 112
-a
median 105
93, 96, 98, 101, 104
-0
median = 98
Answer:
First one: median= 98
Second one: median= 105
Thrid one: median= 103
Step-by-step explanation:
The median is the middle number.
Identify the algebraic description that maps a point (3, 7) onto another point (-5, 7).
A) (x,y) → (x-8, y)
B) (x,y) → (x, y - 8)
C) (x, y) → (x, y + 8)
D) (x,y) → (x+8, y)
Answer:
A) (x, y) → (x - 8, y)
Step-by-step explanation:
(3, 7) → (-5, 7)
Without adding or subtracting any values, we can immediately tell that the y-value did not change, but the x-value did. With this, we are left with choices A and D.
A) (x, y) → (x - 8, y)
(3, 7) → (3 - 8, y)
(3, 7) → (-5, 7)
This matches our problem, and therefore, A is the correct answer.
Hope this helps!
Answer:
A) (x, y) → (x-8, y)
Explanation:
Present Point: (3, 7)
Future Point: (-5, 7)
The change be: (x, y)
Solve:
(3, 7) + (x, y) → (-5, 7)
change side
(x, y) → (-5, 7) - (3, 7)
simplify the following
(x, y) → (-8, 0)
Therefore, we identify this using (x - 8, y)
a A boy on top of a water tank 16.5 m high observed a plate on the ground at an angle of depression of 27,5°. Calculate the distance from the top of the tank to the plate to the nearest whole number.
Answer:
24m
Step-by-step explanation:
The distance from the top of the tank to the plate is the hypotenuse of the right angled triangle
[tex] \sin( \alpha ) = \frac{opp}{hyp} [/tex]
[tex] \sin(27.5) = \frac{16.5}{x} [/tex]
[tex]0.6992 = \frac{16.5m}{x} [/tex]
[tex]x = \frac{16.5}{0.6992} [/tex]
[tex]x = 23.59m[/tex]
[tex]x = 24m \: (nearest \: \: metres[/tex]
The graph shown here is the graph of which of the following rational
functions?
Answer:
b
Step-by-step explanation:
Based on the graph below, how would you describe the curve?
A. The curve is a linear function
B. The curve is a "many-to-one" function.
C. The curve is a "one-to-one" function.
D. The curve is not a function.
Based on the curve ; The graph is:
B. The curve is a many-to-one function.
Step-by-step explanation:Function--
A function is a relation in which each element is mapped to a single element i.e. no element is mapped to two different elements.
Also, the graph of a function satisfies the vertical line test i.e. any line passing through the domain and parallel to the y-axis should intersect the graph exactly once.
and one-to-one function--
A one-to-one function is such that no two elements have the same image i.e. any line passing through the co-domain and parallel to the x-axis should intersect the graph at most once.
The graph passes the vertical line test and hence is a function.Also, the graph of a linear function is a straight line.Hence, by looking at the graph we see that the graph is not a straight line.
Hence, it is not a linear function.
Also, it does not passes the horizontal line test (since somewhere in the interval (2,3) the same value is obtained many times )and hence it is not a one-to-one functionHence, the correct answer is:
Option: B
I DO NOT KNOW HOW TO SOLVE THIS PROBLEM CAN SOMEBODY HELP ME
Answer:
I’m pretty sure the vertex is -5,-4
The axis of symmetry:-5
The graph has a minimum point and not a maximum.
Step-by-step explanation:
pls help i give 38 points
enter a negative number that has an absolute value greater than 10
Answer:
-11
Step-by-step explanation:
Darren has 1.14 pounds of meat. He uses 0.19 pound of meat to make one hamburger. How many hamburgers can Darren make with the meat he has?
Answer:
6 burgers
Step-by-step explanation:
1.14/9 = 6
2.7% of X equals 50,000. what is X?
don't give fake answers just for points YOU WILL BE REPORTED
Answer:
x = 1851851.851....
Step-by-step explanation:
Given statement:
2.7% of x equals 50,000.
When we convert the statement into an equation, we get;
⇒ 2.7% × x = 50,000
A percentage is always written as (Percent)/100 in fraction form. Thus;
⇒ 2.7/100 × x = 50,000
Using cross multiplication:
⇒ 2.7 × x = 50,000 × 100⇒ 2.7 × x = 5,000,000To determine the value of x, we need to isolate it. This can be done by dividing the cooeficient of x both sides.
Divide both sides by 2.7
⇒ (2.7 × x)/2.7 = 5,000,000/2.7⇒ x = 1851851.851....Answer:
Percent in decimal form:
[tex]\sf 2.7\% = \dfrac{2.7}{100} = 0.027[/tex]
Therefore:
27% of X = 50000
[tex]\sf \implies 0.027 \cdot X=50000[/tex]
[tex]\sf \implies X=\dfrac{50000}{0.027}[/tex]
[tex]\sf \implies X=\dfrac{50000 \times 1000}{0.027 \times 1000}[/tex]
[tex]\sf \implies X=\dfrac{50,000,000}{27}\quad \textsf{(as a fraction)}[/tex]
[tex]\sf \implies X=1,851,852\quad \textsf{(nearest whole number)}[/tex]
you ordered 7.48 worth of food at sonic before tax . if tax is 7% , how much tax will you pay and whats the total .
Answer:
Tax = $0.5236
Total = $8
Step-by-step explanation:
$7.48 * 0.07(tax rate) = $0.5236
$0.5236 is the add-on tax you will pay at a rate of 7%
Simply add $0.5236 to your bill before tax of $7.48 to find your total of $8.0036
8.0036 is too low to round to a monetary value, so in total you would pay
approximately $8
A sporting goods company near the beach rents bicycles for $10 plus &5 per hour. Write an equation in
slope-intercept form that shows the total cost, y, of renting a bicycle for x hours. How much would it cost
Emily to rent a bicycle for 6 hours?
Answer:
It will cost Emily $40 to rent the bike for 6 hours.
Step-by-step explanation:
SOLUTION:
Total cost equals = (cost per hour × number of hours) + initial bike cost.
Let, y be total cost and x = renting a bicycle for x hours.
y=5x+10
To calculate Emily's cost for 6 hours, let x=6.
y=5(6)+10
y=30+10
y=40
It will cost Emily $40 to rent the bike for 6 hours.
Find the perimeter of the figure. Round to the nearest hundredth and show work.
Answer:
38 cm
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of all its sides.
We have two unknown length, so let's find their lengths first.
x= 10 -6= 4 cm
y= 9 -2= 7cm
Let's add all the lengths together to find the perimeter:
Perimeter
= 9 +10 +2 +6 +7 +4
= 38 cm
I NEED HELP SOON! THESE ARE DUE SOON!
Answer:
Q2: J. all real numbers.
Q4: [tex]f(3)=-20[/tex]
Q15: [tex]y=-3x+5[/tex]
Step-by-step explanation:
Q2: J. All real numbers.
Range: It can be [tex]y\geq 1[/tex].
It can't be [tex]y\geq 2[/tex].
Domain: It can't be [tex]x\geq 1[/tex] because it is going from (-∞,+∞)
Q4:
[tex]f(x)=-2x^2+x-5,f(3)=?[/tex]
Plugin x with 3 into the equation.
[tex]f(3)=-2(3)^2+(3)-5\\f(3)=-2*9+3-5\\f(3)=-18+3-5=-20\\f(3)=-20[/tex]
Q15: point-slope form.
[tex]y-(y_1)=m(x-x_0)[/tex], plugin [tex](2,-1)=(x_0,y_0)[/tex] and m=-3
[tex]y-(-1)=-3(x-(2))\\y+1=-3(x-2)\\y+1=-3x+6\\y=-3x+5[/tex]
Joe wants to lay tile for his bathroom floor. His bathroom is 10 1/2 feet by 8 1/4 feet. What is the area of the floor?
Answer:
86 5/8 square feet
Step-by-step explanation:
[tex]10 \frac{1}{2} \times 8\frac{1}{4} = \frac{21}{2} \times \frac{33}{4} = \frac{693}{8} = 86 \frac{5}{8} [/tex]
Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 30 pounds and a standard deviation of 1.9 pounds. If the farm produces 400 watermelons, how many will weigh less than 27.87 pounds?
We know that,
[tex] \rightarrow \: z = \frac{x - \mu}{\sigma} \\ [/tex]
z = standard scorex = measuring valueμ = meanσ =standard derivationinserting the given values in the formula
[tex]\rightarrow \: z = \frac{27.87 - 30}{1.9} \\\rightarrow \: z = - 1.121[/tex]
Area that's left to z = -1.121
Area that's left to -1.121 = 0.1311
= 13.11%
Hence ,
13.11% of the watermelons weigh less than 27.87 pounds
To find the number of watermelons,
We'll find 13.11% of 400
= 13.11% x 400
= 13.11/100 x 400
= 52.44
hence , approx 52 watermelons would be lesser than 27.87 pounds
Pleas I need help now
Answer:
addition, subtraction, multiplication
Step-by-step explanation:
If you add two polynomials, the result is a polynomial. If you subtract two polynomials, the result is a polynomial. If you multiply two polynomials, the result is a polynomial.
The diameter of a circle is 22 miles. What is the circle's area?
Use 3.14 for л.
square miles
Answer:
379.94 cm2 correct me if im wrong
The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 1400 hours and a standard deviation of 50 hours. Using the empirical rule,
determine what interval of hours represents the lifespan of the middle 68% of light
bulbs.
The interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here, we had where mean of distribution of X is \mu and standard deviation from mean of distribution of X is \sigma
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 50 hours. Thus,
[tex]\mu=1300\\\sigma=90[/tex]
Using the empirical rule, the interval of hours represents the lifespan of the middle 68% of light bulbs is,
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(1300- 90 < X < 1300+ 90) = 68\%\\P(1210 < X < 1390) = 68\%[/tex]
Thus, the interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.
Learn more about empirical rule here:
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Of 20 people who drink coffe 12 don’t put sugar what fraction would represent the people that use sugar in there coffee
Answer:
Fraction 8/20
Step-by-step explanation:
So only 12 people don't use sugar so if we were to put a fraction for people who don't put sugar then it would be.
12/20
The 20 stands about how many people their are and the 12 stands for how many people don't put sugar.
So now we are supposed ot do peope who put sugar so it would look like this
8/20
How I got the 8 is that I took the 20 people and subtrack it with the people who don't get sugar which is 8 and 8 people use sugar so theirs our answers.
8/20
what is negative five u to the second power plus ten u too the second power e
Answer:
5u²Step-by-step explanation:
[tex]-5u^2+10u^2=(-5+10)u^2=5u^2[/tex]
Based on the graph how many distinct real number solutions does the equation x^3-3x^2+4=0 have
Answer:
2 solutions
Step-by-step explanation:
In order to answer a question "based on the graph," we need to have a graph of the equation. A graph provided by a graphing calculator is attached.
The cubic intersects the x-axis at two distinct points.
There are two (2) distinct real solution to the equation. (x = -1, x = 2).
The number of children's movie tickets sold over a period of a week is
shown below.
18, 23, 9, 16, 30, 16, 7
What is the mean number of movie tickets sold during the week?
A. 17
B. 21
C. 18
D. 16
Answer:
A. 17
Step-by-step explanation:
The "mean" is the same as an average.
To find the mean, add all the numbers.
Then divide that sum by the total numbers you added.
18+23+9+16+30+16+7=119.
119/7= 17. (We divided by 7 because we added 7 numbers)
Hope this helps!
The first step in the process for factoring the trinomial x^2-4x-32 is to:
Answer:
6/7
Step-by-step explanation:
because it not that kid