Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
. A rectangular trunk has a volume of 28,600 cubic inches. The trunk is 50 inches long by 22 inches wide. What is the trunk’s height
- 3/4(12x+16)<9-5x Show your work
Answer:
x > -5.25
Step-by-step explanation:
Whoever needed help with this MATH question I got it for you...
Answer: F(x)= 4,800(1.5)^X
Answer:
1+2=3
Step-by-step explanation:
Find any four rational numbers between -2 and -1
Answer:
-19/10, -18/10, -17/10, -16/10
Step-by-step explanation:
Four Rational numbers between -2 and -1 are:-
-1.9,-1.8,-1.7,-1.6
=> -19/10, -18/10, -17/10, -16/10
Answer:
-1.72, -1.8, -11/8, -29/20.
Step-by-step explanation:
kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax
Answer:
10.50
Step-by-step explanation:
Answer:
she will pay $10.50 in sales tax and $160.50 in total
Step-by-step explanation:
first, find 7% of 150.
150*.07=10.5
add 10.5 to the total
please solve the question
1.
Use the quadratic function to predict y if x equals 6.
y = 2x^2 − 2x − 2
A. y = −58
B. y = −60
C. y = 60
D. y = 58
Answer:
D. y = 58
Step-by-step explanation:
Answer:
The value of the polynomial is 58 for x = 6.
Step-by-step explanation:
Here, the given quadratic function polynomial is given as:
or,
Now, to find the value of y, when x = 6
⇒
= 2(36 - 6 -1) = 2(29)
= 58
⇒y(6) = 58
Hence, the value of the given polynomial is 58 for x = 6.
Will give brainliet no file plz
Answer:
it would be C
Step-by-step explanation:
Solve the equation. Plz help.
Answer:
x=5
Step-by-step explanation:
Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m= -3?
Check all that apply.
V=-
O A.
-*-3
B. 3x+y=1
O c. y= - 3x + 1
D. 7–4= – 3(x+1)
SUBMIT
Answer:
C
Step-by-step explanation:
m = -3
y = mx +b
y = -3x + b
Plugin x = -1 and y = 4
4 = -3*(-1) +b
4 = 3 + b
4-3 = b
b = 1
y = -3x + 1
Answer:
B, C, D
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b ) = (- 1, 4 ) , then
y - 4 = - 3(x - (- 1) ) , that is
y - 4 = - 3(x + 1) → D
Distribute parenthesis
y - 4 = - 3x - 3 ( add 4 to both sides )
y = - 3x + 1 → C
Add 3x to both sides
3x + y = 1 → B
PLEASE PLEASE HELP THANK YOU SO MUCH
Answer: x => 12.8 cm
13 and 13.5
Step-by-step explanation:
The area is equal to or greater than 154 cm^2:
A [tex]\geq[/tex] 154 cm^2
Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm. Let x be the length of the rectangle, so that:
(12)*x = Area
Area => 154 cm^2
(12)*x => 154 cm^2
x => (154/12cm) cm^2
x => 12.8 cm
13 and 13.5 will both meet the criteria.
Helpppppppppppppppppppp
Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13
recursive formula: explicit formula:
a,1 = a,n =
a,n =
Answer:
the answer to your question is 45 over 6
Answer:
45/6 or simplified 15/2
Step-by-step explanation:
what is the slope of the line graphed on the coordinate plane
Answer:
The slope = 3/4
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]
m = 3/4
What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?
Answer:
the slope is 2
Step-by-step explanation:
use the slope formula which is y2-y1/x2-x1
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
Help fast, please!!!!!!!!!!!!!!
Answer: 25% or B
Step-by-step explanation:
1. Money in November - Money in October
2. 50 - 40 = 10 dollars increased
3. 10/40 = 0.25 or 25%
A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1
Answer:
4.4 < x < 18.8
Step-by-step explanation:
11.6 - 7.2 = 4.4
11.6 + 7.2 =18.8
Solve for x.
x+ 26
3x - 32
x = [?]
= [
Enter
Answer:
29x
29
Step-by-step explanation:
x+26
3x-32
x=26
=29
Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2
Answer: D: 3x + 5y = 2
Step-by-step explanation:
D. Divide 21 x + 35 y – 14 = 0 by 7 to get:
3x + 5y -2 = 0
Rearrange: 3x + 5y = 2
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answer:
the answer to your question Is B $5,378
A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?
Answer:
50
Step-by-step explanation:
on edge
which symbol would best replace the question mark below
Answer:
C?
Step-by-step explanation:
help please!!
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Step-by-step explanation:
1 not function
2 function
3 not function
4 function
ihope it helps
Question and answer choices are in the SS attached!!!! Pls help me! ty!
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = [tex]\sqrt{592}[/tex]
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
solve pls brainliest
Answer:
0.28 repeating- yes, this is a repeating decimal
0.74...- yes, this is a repeating decimal
0.3162..- no, this is a decimal that neither terminates nor repeats
0.816..- yes, this is a terminating decimal
Step-by-step explanation:
Terminating decimals:
a decimal that comes to an end, has a finite number of decimal placescan be expressed/written as a fraction Example: 0.25Repeating decimals:
a decimal that has has digit/digits that repeat over and over (go to infinity)can be expressed/written as a fractionexample: 0.333333333...Non-terminating, Non-repeating decimals:
a decimal number that continues on forever with no group of digits being repeated (the digits are basically randomized)cannot be expressed/written as a fractionexample: πTwo people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.