Answer:
t= -0.18
Step-by-step explanation:
Isolate t to get the unknown number:
(-4.5t)(49.5t) = 40
Multiply (-4.5t)(49.5t):
(-4.5t)(49.5t) = -222.75t
Now, write full equation:
-222.75t = 40
Isolate t by dividing -222.75 on both sides:
[tex]\frac{-222.75}{-222.75}t=\frac{40}{-222.75}[/tex]
Cancel out left hand side:
[tex]t=\frac{40}{-222.75}[/tex]
Simplify your answer:
[tex]t=-0.17957351[/tex]
Approximate to 2 decimals:
[tex]t=-0.18[/tex]
d(n) = 6 - 4(n - 1) find the 5th term in the sequence
d(n) = 6 - 4(n - 1)
Plug 5 into the equation for n.
d(5) = 6 - 4(5 - 1)
Subtract 1 from 5
d(5) = 6 - 4(4)
Multiply 4 by 4
d(5) = 6 - 16
Simplify the right side
d(5) = -10
The fifth term in the sequence is -10
The 5th term of the sequence is -10.
What is a sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given is a sequence, d(n) = 6 - 4(n - 1)
To find the 5th term, put n = 5
d(5) = 6-4(5-1)
= 6-4×4
= 6-16
= -10
Hence, the 5th term of the sequence is -10.
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Which equation represents the function described by this table?
f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x
Answer:
F(x)=x+7 the answer is A
Step-by-step explanation:
You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)
How would you write an explanation for a, b, and c? Mississipi is the data point on the upper left that is an outlier
Step-by-step explanation:
a. Your answer is correct. The trend is that obesity rate increases with the number of fast food restaurants per capita. Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend. It is an outlier in terms of the relationship.
b. The number of restaurants per capita is between 2 and 6 for most states. Mississippi's number of restaurants per capita is within this range, so it is not an outlier.
c. The obesity rate is between 22 and 38 for most states. Mississippi's obesity rate is within this range, so it is not an outlier.
There are 868 males students and
1,187 female students at Ferris
High School. How may more female
students are there than male
students? Show your work.
A
Para resolver los siguientes casos, plantea sistemas de
ecuaciones en tu cuaderno y encuentra los valores de las
incógnitas.
1. Horacio quiere poner una hamaca en su jardín. Tiene una cuer-
da que mide 14 metros para amarrar los dos extremos de la
hamaca, por lo que decide cortar la cuerda en dos. Si un pedazo
de cuerda mide 4 metros más que el otro, ¿cuánto miden las
nuevas cuerdas?
2. Imagina que vas a la tienda con un amigo y compras 6 paletas
y 2 gomitas. Tu amigo pide 1 paleta y 10 gomitas. Si tú pagas
$24 y tu amigo $33, ¿cuánto cuestan las gomitas y las paletas?
porfavor ayuda es para una tarea de mañana antes de las 8
Answer:
1 La longitud de las nuevas cuerdas = 5 metros y 9 metros
2 El costo de las paletas = $ 3
El costo de las gomitas = $ 3
Step-by-step explanation:
1) Sea la primera mitad de la cuerda representada por = a
Deje que la segunda mitad de la parte superior esté representada por = b
a + b = 14 metros
De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra
a = b + 4
Por lo tanto
b + 4 + b = 14 metros
2b + 4 = 14 metros
2b = 14 - 4
b = 10/2
b = 5 metros
a = b + 4
a = 5+ 4
a = 9 metros
Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros
2)
Representemos el costo de las paletas = p
Costo de gomitas = g
De la pregunta 2 se nos dice que:
Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24
Por tanto: 6p + 2g = 24 ....... Ecuación 1
Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33
p + 10g = 33 ....... Ecuación 2
p = 33 - 10g
Sustituya p por 33 - 10g en la Ecuación 1
6p + 2g = 24 ....... Ecuación
6 (33-10 g) + 2 g = 24
198 - 60 g + 2 g = 24
-58g = 24-198
-58g = - 174
g = -174 / -58
g = $ 3
Para encontrar p
p = 33 - 10g
p = 33 - 10 × 3
p = 33 - 30
p = $ 3
Por lo tant,
El costo de las paletas = $ 3
El costo de las gomitas = $ 3
Order the following from least to greatest. 0.208, 0.0769, 0.546, 0.317, 0.00998
Which is the equation of the function in the graph?
Answer
B
Step-by-step explanation:
xxxxz
Answer:
D
Step-by-step explanation:
Solve for x. 9x=288
Answer:
x = 32
Step-by-step explanation:
9x=288
divde both side by 9
7/8 + (-3/4) + (-7/-8)+ 3/4
Answer:
1.75 or 1 3/4
Step-by-step explanation:
7/8 + (-3/4) + (-7/ -8)+ 3/4
Simplify
7/8 -3/4 -7/-8 +3/4
We can get rid of -3/4 + 3/4, because together they = 0.
7/8 - 7/-8
So then we divide and subtract and get
1.75 or 1 3/4
please show work 3[x+4]+4x= -2
Answer:
x=-2
Step-by-step explanation:
3[x+4]+4x=-2
The 3 multiplies x and 4
3x+12+4x=-2
Group like terms
3x+4x=-2-12
7x=-14
Divide through by 7
7x/7=-14/7
x=-2
Find the unknown angles.
Step-by-step explanation:
70°+70°+a°=180°
a°=180°-140°
a°=40°
p°=70° (vertically opposite angle)
q°=70°(alternate interior angles)
hope it helps
In 1988, a certain model of car cost $17000. What would be the cost of that car in 2017 dollars?
Answer:
$66,092.50
Step-by-step explanation:
In 1988, the car cost $17,000
Annual inflation over this period was 3.54% from 1988 to 2017
After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017
Therefore, the cost of that car in 2017 is closest to $66,092.50
use the pictures or words to explain how you could find the sum of 7+7
Andy is hanging wallpaper
Answer:
Mandy is painting the wall
An employment agency sells its services to companies
An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The quotient is a rational number. D. The quotient is an irrational number.
Answer:
pretty sure its B. The quotient is an integer
Step-by-step explanation:
which sign makes the statement true?
Answer:
Less than sign
Step-by-step explanation:
3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%
Help me with this questions please, brainiest reward
Answer:
theres no questions
Step-by-step explanation:
Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.
Answer:
1.429 lbs per dollar of sugar
Step-by-step explanation:
multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up
Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.
Sugar per dollarYou can find out the quantity of sugar you get per dollar using the formula:
= Price of sugar / Number of pounds
Solving gives
= 1.40 / 2
= 0.7 pounds
In conclusion, you get 0.7 pounds.
Find out more about cost per unit at https://brainly.com/question/24398532.
Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?
Answer:<AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Answer: AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Took the test!
Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each. Select the equation that represents the scenario. O) p = 2a + 3a + 18 O) 2a + 3a = 18p O) 2p + 3a = 18 O) 2a + 3p = 18
Answer:
its B, C and E
Step-by-step explanation:
on edge
Answer:
2a + 3p = 18
Step-by-step explanation:
The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.
Find the value of x.
Answer:
x=20°
Step-by-step explanation:
This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2
This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.
Anyways x=(40°)/2=20°, so x=20°
express each of the following percentages as a fraction. 45%
Answer:
9/20
Step-by-step explanation:
45% can be written as
= 45/100
= 9/20
Hope it will help u..
Tell me the correct anser
Answer:
D is the correct answer
does rational numbers, irrational numbers, integers or whole numbers have the fewest numbers
Answer:
Whole Numbers
Step-by-step explanation:
whole numbers are just the counting numbers starting from zero: 0,1,2,3...
integers are whole numbers with negatives: ...-3,-2,-1,0,1,2,3...
rational numbers are any numbers that can be expressed as fractions:
2/3, 5, -3, -12/3,4,5,0....
irrational number are numbers that can't be expressed as fractions, which means that they are never-ending decimals.
Hope this helps!
To draw graph of 4x + 5y = 19, Find y when x = 1
How do you solve 3(2×+5)-(4×_9)
Answer: 3(2×+5)-(4×9) = -15
Step-by-step explanation:
Find the range of the given data set.
-4, -3, -1, -1, 0, 1
Answer:
5
Step-by-step explanation:
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.
Answer:
The first siding should be located at 30 miles
The time for the freight to arrive at the siding is 40 minutes
Step-by-step explanation:
From the given information:
Let [tex]T_f[/tex] represent the time for the freight train
Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location
Let Y represents the location where the location of the siding of the track needed to take place.
Thus, for freight time:
[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]
The siding location is:
[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]
[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]
To determine Y:
[tex]T_P -T_f = 0.1 --- (3)[/tex]
replacing the value of [tex]T_f[/tex] and [tex]T_P[/tex] in the above equation (3), we have:
[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]
collecting like terms, we have:
[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]
[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]
[tex]\dfrac{-25Y}{3150} =-0.233[/tex]
- 25Y = -0.233 × 3150
- 25Y = -733.95
Y = -733.95/-25
Y = 29.36 miles
Y [tex]\simeq[/tex] 30 miles to the nearest whole number
Thus, the first siding should be located at 30 miles
To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).
Then, we have:
[tex]T_f = \dfrac{Y}{45}[/tex]
[tex]T_f = \dfrac{30}{45}[/tex]
[tex]T_f =0.667\ hr[/tex]
[tex]T_f =(0.667 \times 60 )minutes[/tex]
[tex]T_f =40.2 \ minutes[/tex]
[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]
Thus, the time for the freight to arrive at the siding is 40 minutes