Answer:
31 days
Step-by-step explanation:
C = 35 + 10d
345 = 35 + 10d
310 = 10d
d = 31 days
Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 540 gallons of orange juice last year. This year, the hotel served 5% less orange juice than it did the previous year. How much was served this year
The amount of juice served this year is given as follows:
513 gallons.
How to obtain the amount of juice?The amount of juice served this year is obtained applying the proportions in the context of the problem.
The amount last year was given as follows:
540 gallons.
The percentage of this year's amount relative to last year's amount is given as follows:
95%, due to the decay of 5%, 100 - 5 = 95%.
Hence the amount of juice served this year is given as follows:
0.95 x 540 = 513 gallons.
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Roberto needs 6 feet and 8 inches of lumber to repair the deck. He has 54 inches of lumber. How many more inches of lumber does he need?
Answer:
26 inches, or 2 ft 2 in.
Step-by-step explanation:
1 ft = 12 in.
6 ft 8 in. = 6 ft + 8 in. =
= 6 ft × 12 ft / in. + 8 in.
= 72 in. + 8 in.
= 80 in.
He needs 80 inches.
80 - 54 = 26
Answer 26 inches or 2 ft 2 in.
Answer:
he needs 26 inches
Step-by-step explanation:
HELP I WILL GIVE BRAINIEST IS TO WHOEVER Is the fastest:
Write each equation in standard form:
y-8=3(x+2)
Answer:
3x-y=-14
Step-by-step explanation:
Find the value of x.
Given:-
\( \rm \: (3x+9)°\)\( \: \)
\( \rm(4x +3) \degree\)\( \: \)
Solution:-
\( \rm \: (3x+9)=(4x+3)\)\( \: \)
\( \rm \: 3x + 9 = 4x + 3\)\( \: \)
\( \rm \: 3x - 4x = 3 - 9\)\( \: \)
\( \rm \: -1x = -6.\)\( \: \)
\( \rm \: x = \cancel \frac{ - 6}{ - 1} \)\( \: \)
\( \boxed{ \underline{\rm \purple{ \: \: x = 6 \: \: }}}\)\( \: \)
Therefore , the value of x is 6 !
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units
Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
65+ ? -15=65 Find missing number
Answer:
65 + 15 - 15 =65
Step-by-step explanation:
pls give brainlist if this was helpful ^^
just give me the answer fast please
Answer:
The answer is A. x= 1/2k
Step-by-step explanation:
1. collect like terms
4kx+10kx=7
14kx=7
2. divide both sides by 14k
14kx/14k=7/14k
that takes out 14k from the left side and you are left with x and then you have x=7/14k which can be simplified to 1/2k
x=1/2k
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
d = 50t
Step-by-step explanation:
In the table, the values across from each other are equivalent.
\(\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}\)
By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:
d = 50t
The correct answer choice is d = 50t, or the 4th option.
Let me know if you have any questions!
Find the savings plan balance after 6 months with an APR of 8% and monthly payments of $200
The savings account balance after six months with an 8% annual percentage rate and $200 monthly contributions is $202.6.
What does a savings plan formula serve?Savings Plan Formula
The future worth of a savings or investment account in which you make regular deposits can be calculated using the formula below.
EXAMPLE 1 Assume you put $100 into a savings account each month that pays 7.3% interest that is compounded monthly.
To determine the saving plan balance after 6 month
First of all we have to calculate the growth factor
Growth factor =(1+(0.08/6)) per month
Growth factor= 1.013
Now let calculate the savings plan balance after 6 month
Saving plan balance after 6
Months =$200.00x1.0133
= $202.6
From conclusion the saving plan balance after 6 month is=$202.6
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Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
Which expression is equal to 45x4-7: 4-2
Answer:
173
Step-by-step explanation:
45(4)-7
180-7
173
HELP PLEASE 9TH GRADE MATH
Answer:
B
Step-by-step explanation:
Perpendicular lines have a reciprocal slope with the opposite sign. The y-intercept does not matter
6) Give all asymptotes
A curve asymptote is a line where the distance between the curve and the line approaches 0. The function is undefined for the value of x=(5/2). Thus, x=(5/2) is an asymptote.
What are asymptotes?A curve asymptote is a line where the distance between the curve and the line approaches 0 when one or both of the x or y coordinates approaches infinity.
The asymptotes are the values for which the function is not defined. The asymptotes of a fractional function are found by equating its denominator's factors against zero. Therefore, the value of the asymptotes is,
\((2x-5)=0\\\\2x=5\\\\x=\dfrac52\)
\(x-5=0\\\\x=5\)
Now, substitute the value of x as (5/2) and 5, to know if the function is defined or not.
\(f(x) = \dfrac{(7x-1)(x-5)}{(2x-5)(x-5)}\\\\\\f(5) = \dfrac{[7(5)-1](5-5)}{[2(5)-5](5-5)}\\\\\\f(5) = \dfrac{(35-1)(0)}{(10-5)(0)} = 0\)
Since for the value of x=5, the function is defined and returns the value as 0. Thus, x=5 is not an asymptote.
\(f(x) = \dfrac{(7x-1)(x-5)}{(2x-5)(x-5)}\\\\\\f(\frac52) = \dfrac{[7(\frac52)-1](\frac52-5)}{[2(\frac52)-5](\frac52-5)}\\\\\\f(\frac52) = \dfrac{(16.5)(-2.5)}{(0)(-2.5)} = \dfrac{\infty}{0}\)
Since the function is undefined for the value of x=(5/2). Thus, x=(5/2) is an asymptote.
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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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Calculate the average rate of change of the function f(x) = mx + b over the interval 2 < or = x< 13.
Answer: it equals m
C). m
Need help ASAP due tomorrow!
Answer:
Step-by-step explanation:
m∠O = 118 because opposite angles of a parallelogram are equal
LNO forms a triangle and the sum of the interior angles of a triangle is 180.
To find m∠NLO:
22 + 118 + m∠NLO = 180
m∠NLO = 180 - 22 - 118 = 40
Which of the following is an arithmetic sequence?
2.4.8. 16.
2.4.-6.8.
-8, -6,-4,-2
Answer:
-8,-6,-4,-2 is an Arithmetic sequence, because there common difference is 2.
18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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Macmillan Learning
Read the case study below and choose the best possible answer to the following questions.
Ben and Amy have been dating since their junior year in high school, but Amy decided to attend a different college than
Ben. Lately, Amy hasn't been returning Ben's numerous phone calls and text messages. Since they've been apart, Ben has
started to worry that Amy might be interested in someone else. He's started to feel that there is no way he can save the
relationship. With each passing day without contact, Ben feels worse and worse. He's been short with his friends and has
started skipping his morning classes because he is having a hard time sleeping.
Question.
Amy's cell phone was stolen last week, and because she has had to purchase textbooks for her classes, she hasn't been able
to afford to replace it yet. This is why she hasn't been returning Ben's texts and calls. Ben might have considered this a
possible scenario if he had better skills in?
A.problem solving.
B.self-regard.
C.stress. tolerance.
D.empathy.
Answer:
problem solving
Step-by-step explanation:
to be good in solving your everyday problems one has to have an optimistic approach, broad minded thinking to overcome the petty issues.
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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15. Ms. Goldman is thinking of a number that is less than 20 and has three factor pairs. She says
that if she adds the factors in each factor pair the sums are 19, 11 and 9. What is her number?
Given: the number is less than 20; three-factor pairs; each factor pair individually adds up to 19, 11, and 9
Solve for her number.
Step-by-step explanation:
If you think about it for a little bit, you will eventually find that 18 + 1 = 19 and 18 × 1 = 18 which is less than 20.
Then we know 18 has 2 more factor pairs : 9 × 2 and 6 × 3 which add up to 11 and 9.
Therefore our answer is: 18
18 × 1
9 × 2
6 × 3
The trick is to pick the largest sum of one-factor pair (19 in this question) and then choose the number below it.
Can you answer both and tell me the answer please
Answer:
7. 10^2
8. 3x3x3x3x3x3x3x3x3 = 19,683mi^2
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−3, −5).
4 units down
4 units up
2 units to the right
2 units to the left
A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.
Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.
Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.
Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.
We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.
The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.
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QUESTION 20
Para el par de funciones, encuentre la suma, diferencia, producto o cociente indicado.
f(x) = -2x 2 - 6. g(x) = x + 4
Encuentra (f - g)(-5).
O a. -47
O b.-55
O c. 61
O d.-65
Answer:
B. -55
Step-by-step explanation:
La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:
1) \(f(x) =-2\cdot x ^{2}-6\) Dado
2) \(g(x) = x+4\) Dado
3) \((f-g)(x) = (-2\cdot x^{2}-6)-(x+4)\) Definición de resta de funciones.
4) \((f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)\) \((-1)\cdot a = -a\)
5) \((f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)\) Propiedad distributiva/\((-1)\cdot a = -a\)
6) \((f-g)(x) = -2\cdot x^{2}-x+(-6-4)\) Propiedad conmutativa
7) \((f-g) (x) = -2\cdot x^{2}-x-10\) Sustracción de términos semejantes/Resultados.
A continuación, evaluamos la función resultante en \(x = -5\):
\((f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10\)
\((f-g)(-5) =-55\)
Por ende, la respuesta correcta es B.
Jamal's car averages 18.4 miles per gallon. How far can he expect to drive on 9.2 gallons of gas?
Answer:
169.28
Step-by-step explanation:
18.4x9.2=169.28
30 POINTS JUST TELL ME THE ASNWER DONT EXPLAIN IT IM ON A TIGHT SCHEDULE
Answer:
1/4
Step-by-step explanation:
What is the solution to the equation below? Round your answer to two decimal places. 3e2x + 12 = 42
Answer:
X= 5.52
Step-by-step explanation:
1. Solve the equation:
e×2x + 12= 42
x=15/e
2. Round x=15/e to the required place
x=5.52
Answer:
X=1.15
Step-by-step explanation:
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
Elijah's father is 47. He is 17 years older than twice Elijah's age. How old is Elijah?
Answer:
let Elijah age be a
Then
2*a + 17 =47
2a=47-17
2a=30
a=15
Step-by-step explanation:
What number is being factored in this factor tree?
A. 34
B. 68
C. 136
D. 272
Answer:
C 136
Step-by-step explanation:
2×68= 136
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