Answer: 302 children and 42 adults
Step-by-step explanation:
x= Children y= Adults
x+ y = 344
1.50x + 2y= 537
Then I would use elimination and multiply the first equation by -2.
-2x-2y= -688
+1.5x+2y= 537
Add the equations and get
-0.5x= -151
Divide by -0.5
x= 302
Then plug x back into the equation.
302+y=344
Subtract 302 from both sides.
y=42
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
Plz help ASAP I will mark u branliest
what are systems of equations and inequalities definitions?
Answer:
A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.
Step-by-step explanation:
Hope this helps. :D
The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?
Answer:
21
Step-by-step explanation:
original price-reduced price
100%-70%=30%
100%=70
30%
30%/100%*70=21
=21$
Hola me podría alguien ayudar con esto? Muchas gracias!
Answer:
Las respuestas estan a continuacion.
Step-by-step explanation:
Tres mas que un numero = a+3
La diferencia entr eun numero y 5 = a - 5
4 menos que n = 4 - n
Un numero aumenta en 1 = x + 1
Un numero disminuido en 10 = z - 10
El producto de dos numeros = x*y
Dos veces la suma de dos numeros = 2(a+b)
Doce veces un numero sumado a otro = 2a+b
El coceinte de dos numeros = a/b
Un numero aumentado en 3 = x+3
Un numero dismunuido en 2 = a - 2
El producto de m y n = m*n
El antecesor de un numero cualquiera = n - 1
El sucesor de un numero cualquiera = x+1
Espero te haya servido!
PLEASE HELP!!! Given PQ. Find the measure of arc PQ, if the radius is 30 and chord PQ = 36. Round to nearest degree.
Answer:
I think the answer is 30.
10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters
longer than the width. If the area of the room will be 150 square meters, what are the
dimensions?
Answer:
L = 15 m, b = 10 m
Step-by-step explanation:
Let width of the rectangle be b.
Length = 5+b
The area of the rectangle is 150 sq meters.
The area of rectangle is given by :
A = lb
So,
[tex]150=b(5+b)[/tex]
It is a quadratic equation. The solution of this equation is :
b = -15 m and 10 m
Neglecting -15, the width of the rectangle is 10 m.
Length = 5+10
= 15 m
So, the dimensions of the room are 10 m and 15 m.
HELP PLEASE Quadratic Equations Math Nation
Answer:
its 5/6
Step-by-step explanation:
we just group things around and we have this
36 m^2 - 60 m = -25
Alternate forms:
12 m (3 m - 5) = -25
36 m^2 - 60 m + 25 = 0
Solution:
m = 5/6
3)
The first number minus the second number
is always eight
Answer:
Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8
Step-by-step explanation:
A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.
Answer:
The rounded answer would lead you to 603.
If this is wrong in sorry.
The volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
What will be the volume of the cylinder?Given that
The diameter d=8 inches r= 4 inches
The height of the cylinder h=12 inches
the volume of the cylinder will be
[tex]V= \pi r^2h[/tex]
[tex]V=\pi\times (4)^2\times 12[/tex]
[tex]V=602.88\ Inch^2[/tex]
Thus the volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
To know more about the Volume of cylinders follow
https://brainly.com/question/23935577
Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
Hope this helps
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times
Remove parentheses using the distributive property 9 ( x + 8)
Answer:
9x + 72
Step-by-step explanation:
Answer:
9x + 8
Step-by-step explanation:
Hope this helps have a nice day :)
*You don't have to read this part*
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Which value of "X" is a solution to this equation?
4x2 +22x +10
Answer:
Two solutions: X = -5 and X = -0.5
Step-by-step explanation:
4x^2 + 22x + 10 = 0 // divide by 2
2x^2 + 11x + 5 = 0
delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81
sqrt(delta) = 9
x1 = (-11 - 9) / 4 = -5
x2 = (-11 + 9) / 4 = -0.5
GIVE ME A SOLID ANSWER
I gain: These 2 pages answers
You gain: 25 points brainliest
Answer:
Sorry but it is really difficult to see the questions... :(
Can you zoom up on them?
Step-by-step explanation:
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answer:
lk
Step-by-step explanation:
on
Solve. Round to the nearest hundredth.
(Help! Will give brainliest)
What is the value of x?
Answer:
-115?
Step-by-step explanation:
i have no idea but try anyways
What is the following product
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account earns in the 1st three years whose account earns annual simple interest and whose account earns annual compound interest explain your choice
Please help me
Answer:
its Isaiah he's the most financially stable
Answer:
Compound is Isaiah and Simple is Maria.
Step-by-step explanation:
Help please I’m being timed!!
Answer:d
Step-by-step explanation:
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
Evaluate the expression below
(1/7)³
Answer:
1/49
Step-by-step explanation:
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
Solve for the given variable in the equation: ½ n - 3 = 5
n = _______
Answer:
The correct solution is "n = 16".
Step-by-step explanation:
The given equation is:
⇒ [tex]\frac{1}{2} n-3=5[/tex]
On adding "3" both sides, we get
⇒ [tex]\frac{1}{2} n-3+3=5+3[/tex]
⇒ [tex]\frac{1}{2}n=8[/tex]
On applying cross multiplication, we get
⇒ [tex]n=8\times 2[/tex]
⇒ [tex]n=16[/tex]
