During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation LaTeX: \frac{2}{7}=\frac{t}{54-t}2 7 = t 54 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answer:
Step-by-step explanation:
Given the expression for the equation representing the prediction of number of trucks as;
2/7 = t/54-t where t is the number of trucks
To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;
Given 2/7 = t/54-t
Cross multiply
2(54-t) = 7t
Open the parenthesis
2(54)-2t = 7t
108-2t = 7t
7t+2t = 108
9t = 108
Divide both sides by 9
9t/9 = 108/9
t = 21
Hence the engineers should have counted 21trucks
HELP ME THX I don't want to fail...
Answer:
EF = 11
JK = 32
Step-by-step explanation:
Because the average of 10 and 12 is 11, therefore that would be the answer, since EF has a slite angle, finding the average of the largest side length and the opposite side would be the best way to find it.
Because the average of 28 and 36 is 32 your answer would be 32, this is from adding both lengths on LJ, which is 12 and 24, I added them to get 36, then found the average, the average was 36, meaning that this was your answer.
what is the solution to the inequality
15<4+x
Answer:
x>11
Step-by-step explanation:
x must be greater than 11.
The fraction 1/12
is equivalent to a decimal that
Answer:
That fraction on decimal form is 0.0833 but rounding it to the tenth would be 0.1
Step-by-step explanation:
You divide 1 by 12
I NEED HELP ASAP PLZZZ!!!!!!!!!!!!!
Answer:
First plot a point at (0,-8)' then from there go up three and right 1 then plot the point and so on. Go down 3 and back 1 to graph the other way
Step-by-step explanation:
-8 is the y intercept so the graph goes through (0,-8) and the slope is 3 because its ax-b and the slope is a
What is the solution to the system for. PLEASE HELP ASAP!
first choice, I'm positive
equation not in slope intercept form. 3y=9x-24
Which equation shows an example of the associative property of addition?
(4+1) + 4 = 4 + (i + 41)
(4 + 1) + 41 = 4j + (-41 + 1)
4 • (-41 + 1) = (41 – 41) + (41 - 1)
O (-41 + 1) + 0 = (-41 + 1)
Answer:
A i think
Step-by-step explanation:
Qd=240-5P
Qs =P
Where qd is the quantity demanded, qs is the quantity supplied and p is the price. Determine the equilibrium quantity before the tax
Answer:
Equilibrium quantity before the tax = 40 units
Step-by-step explanation:
Given:
Qd = 240 - 5P
Qs = P
Computation:
Qd = 240 - 5P
P = 48 + Qd/5
Equilibrium quantity before the tax
Qd = 240 - 5P
P = 240 - 5P
6p = 240
p = 40
Qd = 240 - 5P
Qd = 240 - 5(40)
Qd = 40
Equilibrium quantity before the tax = 40 units
143.596 rounded to the nearest hundredth
Answer:
143.6
Step-by-step explanation: its 143.6 because 9 rounded to the nearest number is 10 and that bumped the 5 to a six
You want to buy some beans. An 8-ounce package costs $2.88. A 14-ounce package costs $4.76. A 20-ounce package costs $7.40. Which package is the Best Buy?
Answer:
20 ounce package
Step-by-step explanation:
will last forever
help with math problems
Answer:
Step-by-step explanation:
b. 27
d 25
e 20
f 342
h 54
find the domain and range of the function represented by the graph.
simplify: 3a-4b+5a+10b
Answer:
Step-by-step explanation:
8a+6b
Answer:
8a+6b
Good Luck!!!
3. Eve wants to purchase a game console that costs $165. So far, she has saved $52 and plans to
save an additional $30 per week.
Answer:
If the question is how many weeks will it take to get the remaining 113.
Step-by-step explanation:
Then the answer is almost 4 weeks. 3 and 2/3 weeks.
A music store marks up the instruments it sells by 30%. If the price on a trumpet says $104. How much did the store pay for it?
Answer:
A. $ 58.50
B. $ 80
C. No, it did not mark up 30%
Step-by-step explanation:
Since,
A. We have,
Mark up percentage = 30%
Actual price = $ 45,
B. We have,
SP = $ 104,
C. We have,
AP = $ 75,
SP = $100,
Thus, mark up percentage =
= 33.33 %
Hence, store did not mark up the price by 30%.
Answer:
$ 72.80
Step-by-step explanation:
30% of 104 = 0.30 * 104
= $ 31.20
Money paid by the store = 104 - 31.20
= $ 72.80
what is the greatest common factor shared by 20 and 10
Answer: 10
Step-by-step explanation:
Evaluate the following expression 6 x (5+3)3 - 2^3
Answer:
144x-8
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
6 x (8)3 -8
I assume 8(3) is a multiplication
6 x 24 - 8
144 - 8
136
−z + 26 = 12 what is Z
Answer:
z = 14
Step-by-step explanation:
subtract 26 from both sides to isolate the variable, you should get: -z = -14
then divide both side by the negative sign, so you should get: z = 14
Answer:
z=14
Step-by-step explanation:
−z + 26 = 12
-z=12-26
-z=-14
z=14
help me pplleeaassee?!
Answer:
1. Quadrant IV
2. Quadrant I
3. Quadrant II
4. Quadrant III
Plz mark brainliest:)
I will give you branilest!
Here is a circle with center H and some line segments and curves joining points on the circle. Identify ONE example of each of the following.
a. Diameter
__________
b. Radius
_________
(Be sure that your book includes your written reasoning.)
Answer:A diameter is a chord that runs through the center point of the circle. It is the longest possible chord of any circle
Step-by-step explanation:The Radius is the distance from the center outwards.
The examples are,
a. Diameter: DG
b. Radius: AH, EH, DH, GH
What is meant by Diameter?Diameter: straight line passing one side to another side through the center of a circle or sphere is known as diameter.the line DG joins 2 points on the circle from one side to another passing through the center of the circle.Therefore, the DG segment is an example of a diameter.Radius: a line segment extending from the center of a circle or sphere to the circumference is known as a radius.The lines HA, HE, HD, and HG, extend from the center of the circle to the points on the circumference of the circle.Therefore, these segments are examples of radius present in the image.
The examples are,
a. Diameter: DG
b. Radius: AH, EH, DH, GH
To know more about circles, refer:
brainly.com/question/24375372
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Alex is x years old. Addison is y years younger. Find their combined age in 10 years’ time.
Answer:
x+10-y
Step-by-step explanation:
i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:
alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).
7( 4 - 2x) - 6x = 3
Answer:
x = 1.25
Step-by-step explanation:
7(4 - 2x) - 6x = 3
(28 - 14x) - 6x = 3
-28 - 28
- 14x - 6x = - 25
- 20x = - 25
/ -20 / -20
x = 1.25
PLEASE SOMEONE HELP ASAP
1. conjugate -5+√x
2. conjugate 7-√b
-Please give an explanation!!
Answer:
1. [tex]-5-\sqrt{x}[/tex]
2. [tex]7+\sqrt{b}[/tex]
Step-by-step explanation:
The conjugate of a radical expression
[tex]a+\sqrt{b}[/tex]
is the expression
[tex]a-\sqrt{b}[/tex]
And vice-versa.
The conjugate is mostly used to rationalize radical expressions because the expression by its conjugate produces another expression without the radicals.
The question asks to find the conjugate of:
1. [tex]-5+\sqrt{x}[/tex]
The conjugate is
[tex]-5-\sqrt{x}[/tex]
2. [tex]7-\sqrt{b}[/tex]
The conjugate is
[tex]7+\sqrt{b}[/tex]
simplify 8/9/20 please
The value of 8/9/20 could be either 0.04 or 17.77.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given the fraction,8/9/20
Case 01)
(8/9)/20 = 0.888/20 = 0.044.
Case 02)
8/(9/20) = 8/0.45 = 17.77.
Hence "The value of 8/9/20 could be either 0.04 or 17.77".
For more about fractions,
https://brainly.com/question/10354322
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Simplify (-6x4 - 5x3 + x2) + (4x2 + 6x4 - 4x3)
Answer:
-x2*(9x-5)
Step-by-step explanation:
If you need an explanation I will happily write it out for you
Answer:
-x2*(9x-5)
Step-by-step explanation:
Complete the pattern.
5, 10, 30, 60, 180, ____
Answer:225
Step-by-step explanation:
While making desserts for a bake sale, Steve used 5/6 of a scoop of brown sugar as well as 1/6 of a scoop of white sugar. How much more brown sugar did Steve use?
Answer:
5/6 - 1/6 = 4/6 = 2/3
Step-by-step explanation:
Since both numbers' denominators are the same, all you have to do is minus normally on the top numbers. You would take the difference and put it on the same denominators. Finally simplify!
-11 + 9(x + 1) = 4(1 + 3x) - 3
Answer:
x = -1
Step-by-step explanation:
-11 + 9(x+1) = 4(1+3x) - 3
9x + 9 - 11 = 12x + 4 -3
9x - 2 = 12x +1
-2 = 3x + 1
-3 = 3x
x = -1
Hope this helped
Sorry if it's wrong
:)
transpose v= u + t for t