Answer:
Step-by-step explanation:
For the first part:
[tex](x-7)^2=36\\\sqrt{(x-7)^2}=\sqrt{36}\\[/tex]
(x-7)=±6
so lets take +6 first
x-7=6
x=6+7
x=13
now lets take -6
x-7=-6
x=-6+7
x=1
For the second part:
[tex](x-1)^2=50\\\sqrt{(x-1)^2}=\sqrt{50}\\[/tex]
x-1=±7.07
so lets take +7.07
x-1=7.07
x=7.07+1
x=8.07
now lets take -7.07
x-1=-7.07
x=-7.07+1
x=-6.07
Answer:
A and B
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $6 per hour. The chemistry club wants to spend less than $48 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for .
Answer: t = 1 hour, 2 hours, 3 hours or 4 hours
Step-by-step explanation:
Reservation fee = $18
Additional fee per hour = $6 per hour
Number of hours to spend = t
The information in the question can be expressed as:
$18 + $6t < $48
$6t < $48 - $18
$6t < $30
t < $30/$6
t < 5
Since the number of hours will be less than 5 hours, the possible numbers of hours the chemistry club could rent the meeting room will be:
1 hour, 2 hours, 3 hours or 4 hours
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $2.50 each and sodas cost $1.50each. At the end of the game, David made a total of $120 and sold a total of 72 nachos and sodas combined. Which system of equations represents this situation? (x value represents nachos and y value represents sodas)
(12, 60)
(57, 15)
(61, 26)
(15, 57)
Answer:
it is (12,60)
Step-by-step explanation:
12x2.50= 30.00
60x1.50= 90.00
30+90= 120
The cost of a school lunch is $2.50. Complete the table to show the total cost of 1, 2, 3, and 4 lunche
Step-by-step explanation:
If 1 lunch =$2.50
2 lunches = $5.00 (2.50x2)
3 lunches =$7.50
4 lunches =$10.00
5 lunches= $12.50
basically just add $2.50
Using the multiplication principle, the completed table is shown below :
Quantity ___ cost 1 _________ 2.502 ________ 5.003 ________ 7.504 ________ 10.00The total cost for any quantity given can be obtained by taking the product of the quantity and the cost per lunch ;
Hence, the cost of quantities 1, 2, 3, and 4 are $2.50, $5.00, $7.50 and $10.00 respectively.
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N decreased by 9 is 5
Answer:
14
Step-by-step explanation:
2. A lemonade recipe calls for a cup of lemon juice for every cup of water.
Use the table to answer these questions.
What does x represent?
What does y represent?
Is there a proportional relationship between x and y?
Answer:
X represents cups of lemon juice, while y represents cup of water
Step-by-step explanation:
Yes there is a proportional relationship between x and y, as they are correlated, and each cup of water equals one cups of lemon juice, in other words for each y there is an x.
hope this helped
el salario mensual de mi papa es de 12825 y paga la renta de la casa que equivale a una tercera parte de su sueldo cuanto paga de renta cuanto le queda para los demas gastos
Answer:
Mi papa paga $ 4275 por la renta de la casa y le queda $ 8550 para el ahorro y los demás gastos.
Step-by-step explanation:
Mi padre recibe su paga, dedica una tercera parte para pagar la renta de la casa y dispone del resto, es decir, las dos terceras partes, para ahorro y demás gastos. Entonces, calculo los rubros correspondientes:
Rubro dedicado al pago de la renta de la casa
[tex]x = \$\,12825\times\frac{1}{3}[/tex]
[tex]x = \$\,4275[/tex]
Rubro dedicado al ahorro y los demás gastos
[tex]y = \$\,12825-x[/tex]
[tex]y =\$\,12825-\$\,4275[/tex]
[tex]y = \$\,8550[/tex]
Mi papa paga $ 4275 por la renta de la casa y le queda $ 8550 para el ahorro y los demás gastos.
At the beginning of a snowstorm, Grayson had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting
how much snow would Grayson have on his lawn 3 hours after the snow began to fall? How much snow would Grayson have on his lawn after tt hours of snow falling?
Answer:
25 inches of snow
Step-by-step explanation:
Answer:
11.5 inches for the first question
I dont know what the second question is asking
Hope this helps :)
what lines are perpendicular to 2x-7y=-25
Answer:
Step-by-step explanation:
Given the line 2x-7y = -25
First let us get the slope of the line:
Rewrite the equation in the form y = mx+c
2x-7y = -25
-7y = -2x-25
y = -2x/-7-25/-7
y = 2/7 x +25/7
The slope of the line is 2/7
Ffor two lines to be perpendicular, the product of their slope must be -1
mM = -1
m(2/7)= -1
2m = -7
m = -7/2
Hence the lines perpendicular to the given line must be a line that has a slope of -7/2. Since we are not given option, we can say example of such line is y = -7/2 x + 15
(D)
For the equation 5y = 2 express it in form of linear equation.
(A) x + 5y = 2
(B) O-r - Sy-
Answer:
y = 2/5
Step-by-step explanation:
Here, we want to express the equation 5y = 2 in the form of a linear equation.
A linear equation is in the form y = mx + c
What this means is that we have to isolate y
Thus, we can isolate y by dividing both sides by 5
5y/5= 2/5
y = 2/5
Ello bought 3 1/2 pounds of candy for 8.00. How much did she pay per pound? Round to the nearest cent if necessary
Answer:
$2.29
Step-by-step explanation:
8 divided by 3.5 is 2.285, so we round up to 2.29 plz mark me brainlest
A grocery store sells a bag of 6 oranges for $2.10. How much does one orange cost?
Answer:
0.35 cents each
Step-by-step explanation:
2.10 divided by 6 = 0.35
Sergio has *p* paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation?
Answer:
p-4
Step-by-step explanation:
Sergio has p paintings in his art collection
He and other local painting collectors donated 48 paintings to the local museum
There are 12 collectors
Therefore each of them will donate
= 48/12
= 4 paintings
Since there are p paintings then the paintings in which Sergio will have in his art collection after donation is p-4
Answer:
p-4
Step-by-step explanation:
i got it off of khan
1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks and the number of appetizer recipes.
Answer:
4 + 3w
Step-by-step explanation:
Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school.
Let us represent the number of weeks of the school as w
The equation that shows the relationship between the number of weeks and the number of appetizer recipes is
4 appetizer + 3 new appetizers × w
Number of recipes she knows after w weeks = 4 + 3w
PLS HELP ASAP..!! I WILL GIVE YOU BRAINLYEST!!! :))
Answer: The last one/ D
Solve Absolute Value.
|4x+1|≤5
We know4x+1≤5and4x+1≥−5
4x+1≤5(Condition 1)
4x+1−1≤5−1(Subtract 1 from both sides)
4x≤4
4x4≤44(Divide both sides by 4)
x≤1
4x+1≥−5(Condition 2)
4x+1−1≥−5−1(Subtract 1 from both sides)
4x≥−6
4x4≥−64(Divide both sides by 4)
x≥−32
han wants to buy a 30$ ticket to a game but the pre-order tickets are sold out he knows there will be more tickets sold the day of the game with a markup of 200% .How much should Han expect to pay for the ticket if he buys it the day of the game
Answer:
$90
Step-by-step explanation:
Answer:
90$
Step-by-step explanation:
what is 7x squared - 5 - 2x - 3 + 5 simplified
Answer:
7x squared -3-2x
Step-by-step explanation:
you can't do the 7x squared and 2x together because one has a squared and the other one doesn't
is the product of a rational number and an irrational number sometimes, never or always rational and sometimes, never or always irrational?
Answer:
Never rational, always irrational.
If current policy premiums are decreased by 6% what will be the new annual premium on a 10 year $500,000 term life policy for a 35 year old male?
Answer:
D) $154
Step-by-step explanation:
i got it right
find the equation of line shown
alexandria earned a 64 on her test. she studied and went to her teachers remediation and earned a 92 on her retake. what was her percent of change on her tests? round to the nearest whole number
Answer:
28%
Step-by-step explanation:
92-64=28
The percentage change in Alexandria's marks would be; 44%
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100. Percentage is the ratio of the number for which you want to find percentage to the total number with which you want to compare or out of and multiply this ratio with 100.
The percentage of change = (change in amount / original amount ) x 100
Alexandria's marks in first attempt = 64
Alexandria's marks in retake = 92
Then the Change in marks = 92-64 = 28
Thus Percentage of change on her tests
= ( change in marks / initial marks) ×100
=( 28/64)×100
= 43.75 %
≈ 44 %
Therefore, the percentage change in Alexandria's marks would be; 44%
Learn more about percentages;
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Lawrence is making a pillow that has a five-sided design. The sides measure 18in, 12in 14 1/4in,12in and 14 1/4. What is the sum of the five sides of this pillow in simplest form
Answer:
70 1/2 inches
Step-by-step explanation:
Lawrence is making a pillow that has a five-sided design. The sides measure 18in, 12in 14 1/4in,12in and 14 1/4. What is the sum of the five sides of this pillow in simplest form
The sum of the 5 sides =
(18 + 12 + 14 1/4 + 12 + 14 1/4) inches
= 18 + 12 + 14+ 12 + 14 + (1/4 + 1/4)
= 70 (2/4)
= 70 1/2 inches
The sum of the five sides of this pillow in simplest form is 70 1/2 inches
we have 10 eggs how many plates do we need if each plate holds 2 egg.
my question is 2/3x=- 1/2x+5 what does x eqaul
Answer: I think x equals to 0 or 1
10. You want to buy popcorn at your local movie theatre and it costs $8.00. If the theatre has a 10%
discount on popcorn, what will be the discount amount?
Answer:
Discount is $0.8. hope this helps.
Step-by-step explanation:
100 % - 10 %= 90%
90% of $8.00
90/100 x 8
720/100
$7.2 is price after discount.
Discount is $8.00 - $7.2
$ 0.8
Jamal can run 1 mile in 5.05 minutes. If Jamal maintains this pace during a 5-kilometer (5K) race, he expects to break the course record of 15.25 minutes. Is Jamal's expectation reasonable? Explain.
Answer:
The expectation is reasonable
Step-by-step explanation:
Since Jamal runs 1 mile in 5.05 minutes, and expected to run 5 km in 15.25 minutes, we need to find if this is true. So, we need to find if he can actually run 5 km in 15.25 minutes.
Now 1 mile = 1609 m and 5 km = 5000 m. So, 5 km = 5000 m × 1mile/1609 m
5 km = 5000/1609 mile
Also since Jamal runs 1 mile in 5.05 minutes, the time it takes to run 5 km = 5000/1609 mile is 5000/1609 mile × 5.05 minutes/1 mile = 25,250/1609 minutes = 15.69 minutes.
Since our calculation shows that Jamal runs a 5 kilometer race in 15.69 minutes, the expectation that he will break the record in 15.25 minutes is reasonable. He can only break the record if he runs faster since there is a difference of 15.69 - 15.25 minutes = 0.44 minutes = 0.44 × 60 = 26.4 seconds which is quite a short time. So the expectation is reasonable.
Answer:
Step-by-step explanation:
A particle moves along the x-axis so that at any time t≥0 its position is given by x(t)=12(a−t)2, where a is a positive constant. For what values of t is the particle moving to the right?
Answer:
For the particle to move to the right, 0 ≤ t ≤ a
Step-by-step explanation:
The particle under motion on the x-axis given by the equation x(t) = 12(a−t)² for t ≥ 0, where a is a positive constant.
To find the values of t for which the particle is moving to the right, this implies that the particle must move along the positive x-axis. This implies that x(t) ≥ 0.
So, to find the value of t for which the particle moves to the right, we solve the inequality x(t) ≥ 0 ⇒ 12(a−t)² ≥ 0
12(a−t)² ≥ 0
(a−t)² ≥ 0
taking square root of both sides, we have
√(a−t)² ≥ √0
(a−t) ≥ 0
a ≥ t ⇒ t ≤ a
So, for the particle to move to the right, 0 ≤ t ≤ a.
Using derivatives, it is found that the particle is moving to the right for [tex]t > a[/tex], that is, values of t in the interval [tex](a, \infty)[/tex].
A particle is moving to the right if it's velocity is positive.
The position of the particle is given by:
[tex]x(t) = 12(a - t)^2[/tex]
The velocity is the derivative of the position, hence:
[tex]v(t) = -24(a - t)[/tex]
If will be positive if:
[tex]-24(a - t) > 0[/tex]
[tex]-(a - t) > 0[/tex]
[tex]-a + t > 0[/tex]
[tex]t > a[/tex]
A similar problem is given at https://brainly.com/question/14516604
PLZ HELP LOOK AT THE PIC
Answer:
A 6
Step-by-step explanation:
19.5÷3.25=6
Hope this helps.
where is ( -3 1/2, -1 1/4 ) on the coordinate plane?
Answer: ( -3 1/2, -1 1/4 ) that's where it is on the coordinate plane...
Step-by-step explanation:
The point ( -3 1/2, -1 1/4 ) on the coordinate plane is shown in the figure
How can we perceive cartesian coordinate plane?The cartesian coordinate plane is an infinite 2 dimensional plane. Any 2 dimensional figure can be drawn on an infinite 2d plane. Each of the point of a cartesian plane is tracked by a location.
It is the perpendicular distance of that point from the horizontal axis and vertical axis, usually named x-axis and y-axis. The location is then written as: (a,b), where 'a' is that point's shortest distance from the y-axis and called x-coordinate of that point, and 'b' is that point's shortest distance from the x-axis, and called y-coordinate of that point.
Given;
( -3 1/2, -1 1/4 )
The given points are marked on the coordinate plane below;
Learn more about locating points on coordinate plane here:
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Lucy estimated that is would take 4000 grains of sand to make a pound. That would mean each grain of sand weighs 1/4000 of a pound. In a decimal form, each grain of sand would weigth 0.00025 pounds. Which number expressed in scienfic notation represent the weigth of a grain of sand?
Answer:
25x10^-5
Step-by-step explanation:
We are expected to represent the decimal number in scientific notation
the decimal number is 0.00025
Given that the number in decimal is 0.00025 pounds
in scientific notation we will have to count 4 decimal point to the left from the second number which is 2
=2.5x10^-4
or we can still write it as
25x10^-5
either of the above is correct, only take note of the number of places you count and the sign
Imagine a you had just won that Michigan lottery prize.
a. Discuss with others
your thinking on which of the two payoff methods
to choose.
what payoff method would you choose ?
thinking about lottery prize is the answer your welcome