Answer:
Number of cars = 14
Number of buses = 5
Step-by-step explanation:
Let
x = number of cars
y = number of buses
x + y = 19 (1)
5x + 25y = 195 (2)
From (1)
x = 19 - y
Substitute x = 19 - y into (2)
5x + 25y = 195
5(19 - y) + 25y = 195
95 - 5y + 25y = 195
- 5y + 25y = 195 - 95
20y = 100
y = 100/20
y = 5
Substitute y = 5 into (1)
x + y = 19
x + 5 = 19
x = 19 - 5
x = 14
Number of cars = 14
Number of buses = 5
Based on the number of vehicles and the number that each vehicle can take, the number of buses required is 4 buses.
There are 19 vehicles which take 5 students each. This means that the number of kids entering buses will be:
= 19 x 5
= 95 students
The students entering buses will be:
= Total number of students - Kids in vehicles
= 195 - 95
= 100 students
If each bus takes 25 students, the number of buses required is:
= 100 students / 25
= 4 buses
In conclusion, 4 buses were taken.
Find out more at https://brainly.com/question/15806057.
The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.
Answer:
24
Step-by-step explanation:
RSM
Mathematics-Session 1: No Calculator
1. Which situation could be modeled by the expression - 12 x
A.
B.
A piece of rope has a length of 12 feet. It is cut into 3-foot pieces.
A fish is swimming 12 feet below sea level. It then swims to of that depth.
A student deposits $12 into a bank account. He then deposits another of that
C.
amount.
D.
A bird decreases the height it flies by 12 yards. It then decreases the height it flies
by another ş yard.
Answer:
Think it is D I am not sure
Step-by-step explanation:
What is the proportion of 36 / x equals 8/7
Answer:
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
36/x=8/7
x times 36/x=x times 8/7
Cancel multiplied terms that are in the denominator
cancel both x’s for you should have 36=x times 8/7
Combine multiplied terms into a single fraction
36=8x/7
Multiply all terms by the same value to eliminate fraction denominators
36=8x/7 so you multiply 7 times 36=7 times 8x/7
so you simplify so you get 252=8x
then you Divide both sides of the equation by the same term
252=8x 252/8=8x/8 so you get 63/2
so your final answer is x=63/2
I hope that I helped you have a nice day or night!
Use the following function rule to find f(1).
f(x) =4(4)4^x+1
f(1)=.......
Answer:
f(1)=65
Step-by-step explanation:
The sum of the digits of a certain two digit nuber is 12. when you reverse its digits you increase the number by 18.find the number
Can this be reduced?
HELPPPPPPPPPPP , witch should I pick .
Write an equation of the line that passes through the given point and is parallel to the given line.
(4, 3); y = –x + 5
Remember that the standard form of a line equation is y = mx + b. Since you need a line that is parallel to y = 5x - 2, the first thing to do is use the same slope (m), which is 5 in this case.
The new line would look like this: y = 5x + b. I use "b" instead of -2, since we'll calculate a "b" for the new line by substituting the given point of (2, -1) into y = 5x + b.
-1 = 5*(2) + b
b = -11
The parallel line that goes through (2,-1) is y = 5x - 11
The new line is the blue, on the right. Note that it is parallel to the original (green) line and also intersects at (2, -1). (Each chart is is 0.5 unit).
Answer:
Remember that the standard form of a line equation is y = mx + b. Since you need a line that is parallel to y = 5x - 2, the first thing to do is use the same slope (m), which is 5 in this case.
Step-by-step explanation:
Write an expression that is the product of two factors and is equivalent to - 2x - 16.
Which expression is the product of two factors and is equivalent to - 2x - 16?
O A. -2x-1-15
OB. -2(x-8)
OC. (8x - 1)-(10x-15)
OD -2(X + 8)
Answer:
D
Step-by-step explanation:
Our answer will be D. We can eliminate choices A and C since they are not products. In other words, they are not multiplying factors together; they are only adding or subtracting.
Answer B does not work, as when it is multiplied out, we get -2x + 16.
When we find the product of D, we distribute the negative and get the correct product, -2x - 16
daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours
Options are increase/decrease
arcsin0=? arccos0=? arctan1=?
Answer:
arcsin0= 0 degrees
arccos0= 90degrees
arctan1= 45 degrees
Step-by-step explanation:
To get arcsin0, let the unknown value be x
sin x = 0
Take arcsin of both sides
arcsin(sinx) = arcsin 0
x = arcsin0
x = 0 degrees
Hence arcsin0 = 0degrees
For cos x = 0
Take arccos of both sides
arccos(cosx) = arccos 0
x = arcscos0
x = 90 degrees
Hence arccos0 = 90degrees
For tan x = 1
Take arctan of both sides
arctan(tanx) = arctan 1
x = arctan1
x = 45 degrees
Hence arctan1 = 45degrees
what is 4.2j+6.7j-5j-5
Answer: 5.9j-6
Step-by-step explanation:
n is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest
Answer:
- 4, - 3, - 2, - 1, 0
Step-by-step explanation:
Given
- 2 < n + 3 < 4 ( subtract 3 from each interval )
- 5 < n < 1
This indicates that n ≠ - 5, 1 but all values in between, that is
n = - 4, - 3, - 2, - 1, 0 ← possible values of n
sin 68 = 70/w
find w
Answer:
sin 68 =70/w
sin68(w)=70
0.927w=70
w=70/0.927
w=75.51
For the expression 2 x squared + 28 x + 93 Over (x + 6) cubed, which sum represents the correct form of the partial fraction decomposition?
Answer:
Option-3
Step-by-step explanation:
got-it-lol
also-keyboard-broke:(
Identify the part of the drawing that is highlighted.
Answer:Its a line segment
Step-by-step explanation:
A line segment is between two points.
What is the range of the function graphed below?
Answer:
um function
Step-by-step explanation:
3rd
bubble
?
A pole that is 2.7 m tall casts a shadow that is 1.76 m long. At the same time, a nearby building casts a shadow that is 44.25 m long. How tall is the building? Round your answer to the nearest meter.
Answer:
81
Step-by-step explanation:
9x9
2x2
Answer: 81
Step-by-step explanation:
what is the inequality -24<3(3x-2)<30
Answer:
− 2 < x < 4
Step-by-step explanation:
Why is it a problem to find the square root of a negative number, for example √-4?
Answer:
It is not possible because no number times itself can equal a negative number.
Answer:
Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).
This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."
For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.
8
Express sin A, cos A, and tan A as ratios.
12
613
Answer:
see explanation
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6\sqrt{3} }{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6\sqrt{3} }{6}[/tex] = [tex]\sqrt{3}[/tex]
Which inequality makes the statement below true? |-13 BLANK -13 O A. = O B. < OC. S O D. >
PLEASE HELP ME
Answer:
Hey there the best answer would be A.=
Step-by-step explanation:
Find the quotient. 42j4k2 ÷ (-3j3k)
Answer:
(-14) (4/3k) = -56k/3
Step-by-step explanation:
42/-3 = -14
j/j = 1, so j "cancels"
4k²/3k = 4/3k
Answer:
-14jk
Step-by-step explanation:
This is sooooo confusing........................................
Answer:
i dont know :(
Step-by-step explanation:
i dont know :(
somebody help me ASAP!!! No joking
Answer:
it is given that. a^2 + b^ 2 = c^2
then we need to find b
then formula will
b= √(c^2 - a^2)
hence 3600 - 1296
=. √{ 1296}
=. 48
Find the value of r(q(-5)).
Answer:
=−5qr
Step-by-step explanation:
x/4 = 1/3 what is x?
Step-by-step explanation:
Given
[tex] \frac{x}{4} = \frac{1}{3} \\ cross \: multiply \\ 3x = 4 \\ x = \frac{4}{3} [/tex]
Hope it will help :)
Answer:
1/3×4 = 1, 3
x is 1,3
Step-by-step explanation:
hope this helps!
PLS HURRY TY WILL GIVE BRAINLIEST
Answer:
i'm pretty sure its c
Step-by-step explanation:
have a great day!!
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Adele believes that 0.462 is written as "four tenths, sixty-two hundredths." Is she correct? Explain your answer. *
Answer:
Adele is not correct.
Step-by-step explanation:
The statement in itself wields an incorrect answer. However, when she states "sixty-two hundredths" it is further proven incorrect. This is because the 0.062 part of the total 0.462 would be pronounced as 62 thousandths.
Therefore, Adele is incorrect. The correct answer, however, would be: "Zero and four-hundred sixty-two thousandths."