Answer: t=0.4
Step-by-step explanation: 22t+3t=12-5t
25t=12-5t
30t=12
t=0.4
In this question, we multiply the equation and calculate the value by adding/subtraction, and the further calculation can be defined as follows:
Given:
[tex]\bold{2(11t+1.5t) = 12- 5t}[/tex]
To find:
Solve the equation=?
Solution:
[tex]\to \bold{2(11t+1.5t) = 12- 5t}\\\\\to \bold{22t+3.0t = 12- 5t}\\\\\to \bold{22t+3.0t +5t= 12}\\\\\to \bold{30t= 12}\\\\\to \bold{t= \frac{12}{30}}\\\\\to \bold{t= \frac{4}{10}}\\\\\to \bold{t= 0.4}\\\\[/tex]
Therefore the final answer is "0.4"
Learn more:
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The distance that a car has traveled as a function of time is represented by the table below. Find and interpret the rate of change in context of the situation.Time (hours) Distance (miles)
4 260
6 390
8 520
10 650
Answer:
the car is traveling at a mph of 65 per hour.
Step-by-step explanation:
hope this helped out in some way.
help me quickly. ratioss
Answer:
8
Step-by-step explanation:
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
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for her wedding reception. The Lyme Point Inn charges $3,000 for the venue and $100 for each meal. Ever After Farm charges $5,400 for the venue and $70 for each meal. Write and solve an equation to find the number of meals at which the total cost charged by the two venues would be the same. *
Answer: Required euqtaion: 3000+100x = 5400+70x
Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80
Step-by-step explanation:
Let x= Number of meals.
For Lyme Point Inn, cost for x meals = 100x
Total cost = 3000+100x
For Ever After Farm, cost for x meals = 70x
Total cost = 5400+70x
When both cots same, then
3000+100x = 5400+70x
⇒ 100x-70x= 5400-3000
⇒ 30x=2400
⇒ x= 80
Hence, the number of meals at which the total cost charged by the two venues would be the same. =80
1 point
7. A bank is advertising that new customers can open a savings account
with a 3.75%interest rate compounded annually. Robert invests $5,000 in
an account at this rate. If he makes no additional deposits or withdrawals
on his account, what amount of money will he will have, to the nearest
cent, after three years?
Answer:
18,750
Step-by-step explanation:
First you just listen to what I tell you and you'll get the right answer
Trust me that's the right answer
Examine the diagram, where quadrilateral MNOP is inscribed in ⨀C such that m∠P=(2x)∘ and m∠N=(2x−12)∘.
What is the measure of m∠P and m∠N?
m∠P=96∘, m∠N=84∘
m∠P=84∘, m∠N=72∘
m∠P=90∘, m∠N=90∘
m∠P=72∘, m∠N=108∘
Answer:
Option (1)
Step-by-step explanation:
Since quadrilateral MNOP is a cyclic quadrilateral, sum of opposite angles of the quadrilateral will be 180°.
m∠P + m∠N = 180°
(2x)° + (2x - 12)° = 180°
4x - 12 = 180
4x = 192
x = 48
Therefore, m∠P = (2x)° = 2×48 = 96°
m∠N = (2x - 12)° = (2×48) - 12 = 84°
Option (1) will be the answer.
Answer:
Option (1)
Step-by-step explanation:
What are the values of m and d in the equation y = mx + such that the linear
function is its own inverse, and m is positive?
M=?
B=?
Answer:
The correct equation would be y=mx+b when trying to figure out the y-intercept and the slope of a coordinate. M would be the slope and b would be the y-intercept. For example, if the slope were to be 3 and the y-intercept would be 5, the equation would be, y=3x+5. I don't know if I helped but I hope I did!
The value is of the m and b such that equation y = mx + b is its own inverse will be 1 and 0 respectively.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the linear b,
y = mx + b
Now inverse of this;
x = my + b
my = x - b
y = (1/m)x - b/m
Now,
For both functions equal
m = 1/m and -b = b
So m must be 1 and b must be 0.
Hence "The value is of the m and b such that equation y = mx + b is its own inverse will be 1 and 0 respectively.".
For more about the linear function,
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In ΔHIJ, \text{m}\angle H = (4x+1)^{\circ}m∠H=(4x+1) ∘ , \text{m}\angle I = (2x-6)^{\circ}m∠I=(2x−6) ∘ , and \text{m}\angle J = (6x-7)^{\circ}m∠J=(6x−7) ∘ . Find \text{m}\angle J.M∠J.
Given:
In ΔHIJ, m∠H=(4x+1)° , m∠I=(2x−6)°, and m∠J=(6x−7)° .
To find:
The m∠J.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In ΔHIJ,
[tex]m\angle H+m\angle I+m\angle J=180^\circ[/tex] [Angle sum property]
[tex](4x+1)^\circ+(2x-6)^\circ+(6x-7)^\circ=180^\circ[/tex]
[tex](12x-12)^\circ=180^\circ[/tex]
[tex]12x-12=180[/tex]
Add 12 on both sides.
[tex]12x=180+12[/tex]
[tex]12x=192[/tex]
Divide both sides by 12.
[tex]x=16[/tex]
Now,
[tex]m\angle J=(6x-7)^\circ[/tex]
[tex]m\angle J=(6(16)-7)^\circ[/tex]
[tex]m\angle J=(96-7)^\circ[/tex]
[tex]m\angle J=89^\circ[/tex]
Therefore, the measure of angle J is 89 degrees.
Given the system of equations below, Identify the number of solutions.
x + 9y = 1
2x + 18y = -16
Question 3 options:
No Solution
Infinitely Many Solutions
3 Solutions?
One Solution
Answer:
no solution
Step-by-step explanation:
u can see: 2x + 18y = -16
=> x + 9y = -8
but x + 9y =1
so it is unreasonable
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?
Answer:
use slope intercept form to write the equation y=mx+b m (slope of the line) will be the hourly fee, and b (y-intercept) will be the one-time transportation fee.
y=30x+20
to find the cost of renting a canoe for 6 hours, plug 6 into the equation replacing x
y=(30×6)+20
y=180+20=$200
Sorry, I can't graph the line, but I would number the x-axis of the coordinate plane (graph) by 1s or 2s (for the hours), and the y-axis by 20s (for the cost
Step-by-step explanation:
6+6-5x(4•6)=45-23x-13
Linear function g is shown in the graph. Write the slope-intercept form of the equation representing this function.
Answer:
Y=-2x+1
Step-by-step explanation:
Answer:
all the answers to the test
Step-by-step explanation:
how can you be sure the lines you constructed are parallel?
Answer:
think of it as the 2 ells right beside each other in parallel
Step-by-step explanation:
a rectangle has 2 sets of parallel lines also a square
a triangle and a circle do not have parallel lines
| 4r + 20 | = 28
help ASAP
Answer:
r = 2
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
write the equation of the line in slope - intercept form
Answer: y=1/2x+3
Step-by-step explanation: the line goes up 1 and over 2 and the Y intercept is 3
4. Find the slope of the line passing through the points
(-1,20) and (2,3)
ANSWER FASTFOR BRAINLIEST FIVE STAARS AND THXS
Answer:
w
the square root of 95 =9.75 and w is placed at about 9.75
Answer:
W
Step-by-step explanation:
square root of 95 is 9.74 smth
When the value of x is 3, what is the value of y?
Answer:
I need more info please
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
Help!!!! Please!!!!!
Answer:
j,fj,fj,fj,fj,fj,fhj,fj,fj,fj,
Step-by-step explanation:
Which one?
A. B. C or D?
Answer:
D
Hope this helped!
Happy Halloween!
Please help me I don’t understand this at all
Answer:
Step-by-step explanation:
B: 8.5 inch by 5.5 inch
C: 4.25 inch by 5.5 inch
D: 4.25 inch by 2.75 inch
E: 2.125 inch by 2.75 inch
any help?
Given h(x) = -X – 1, solve for x when h(x) = 0.
Answer:
X=-1
Step-by-step explanation:
h(x)=0
-X-1=0
-X=1
X=-1
One pack of pencils currently costs $1.19. The cost of one pack of pencils is projected to increase by 135% in the next 5 years. What is the projected cost of a pack of pencils 5 years from now? (Round your answer to the nearest cent.)
Answer: $2.80
Step-by-step explanation:
Given: Cost of one pack of pencils = $1.19
The cost of one pack of pencils is projected to increase by 135% in the next 5 years.
So, the cost of pack of pencils after 5 years = $1.19 + 135% of $1.19
= $ (1.19+1.35(1.19)) [135% = 1.35 since we divide each percent by 100 to convert in decimal]
= $ (1.19+1.6065 )
= $ 2.7965 ≈ $ 2.80 [Rounded to the nearest cent]
hence, the projected cost of a pack of pencils 5 years from now = $2.80
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
Find A u B, step by step isnt needed
Answer:
I think it might be C
Step-by-step explanation:
Segments AB and CD intersect to form an angle of 89 degrees as shown. What is the measure of <2
Answer:
180-89= 91
Step-by-step explanation:
Answer:
2 = 91
Step-by-step explanation:
Angle 2 and the 89 degree angle are supplementary (They both add up to 180) because they form a straight line. So, you would do as follows:
180 - 89 =
91
function f(x)=-2x+7
evaluatef(x) = 5, find x
Answer:
x= 1
Step-by-step explanation:
f(x) = -2x+7
Then, -2x+ 7 = 5
-2x= 5-7
-2x= -2
x=-2/-2
x=1
-45 divided by 9 , show your work
Answer:
9 can go into -45 5 times becuase 5 times 9 is 45 but because it is a negative number the answer will be -5 because a negative and a positive =a negative does this help? :)
Step-by-step explanation:
24-10b=9 what is the missing variable equal to
Answer:
b = 1.5
Step-by-step explanation:
Lets first set up the equation:
24 - 10b = 9
Okay now lets add 10b on both sides:
24 = 9 + 10b
Now let's subtract 9 from both sides so we can get the variable b by its self:
15 = 10b
Okay now we can divide each side by 10:
1.5 = b
Answer:
24-10(1.5)=9
b = 1.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
b = 3 /2
Decimal Form:
b = 1.5
10(1.5) = 15
24 - 15 = 9
:)
