in a school there are 542 girls and boys. how many pupils are there in that school?
Answer:
There are 1084 pupils in that school.
Step-by-step explanation:
If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.
Hope this helps!
Answer:
1084
Step-by-step explanation:
542+542
8. If the measure of one side of a square is increased by 2 centimeters and the measure of
the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is
32 square centimeters. Find the measure of one side of the square (the original figure).
Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
__
Check
The modified figure is 8 cm by 4 cm = 32 cm^2.
what is the product of 9,028 x 100,000
Answer:
902,800,000
Step-by-step explanation:add the 5 zeros from 100,000 to 9,028
Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
Write the equation of the line parallel to y - 3x=4 and containing (3,10)
Solve the inequality and graph its solution
Answer:
Step-by-step explanation:
6.
-4(3+n)>-12
-12-4n>-12
-4n>0
n<0
open circle at 0 and left of 0 on the number line.
8.
-3(r-4)≥0
divide by -3
r-4≤0
r≤4
solid line starting from 4 and extends left .
5.
-b-2>8
-b>10
b<-10
open circle at -10
and extends left.
7.
[tex]4+\frac{n}{3} <6\\multiply~by~3\\12+n<18\\n<18-12\\n<6[/tex]
open circle at 6 and extends left .
Answer:
Hey There~5) b<-10
From -10 to left
6) n<5
From 4 to 1
7) n<6
From 5 to -2
8) r<=4
From 4 to -4
Answer attached__Step-by-step explanation:
Hope it helps you ツ12 red cars is what part of 48 total cars
Answer: 1/4
Step-by-step explanation: i think it is 1/4 bc 48 is the total and 12 can go in 48 4 times
i hope this helped have a good day
This means that 12 cars are green,12 cars are blue,and 12 cars are yellow/white. which means there are 4 groups of cars which all together equals 48 which is 48 divided by 12 equals 4 or just do 12 +12+12+12+48 or
4+4+4+4+4+4+4+4+4+4+4+4=48
Meaning there are 4 groups and 12 is 1 part of them which makes 1/4
The sum of two integers is 2. Their difference is 10. What are the two integers?
Answer:
6 and -4
Step-by-step explanation:
a + b = 2
a - b = 10
Solve:
from the first eq.
a = 2 - b
replacing this value in the second eq.
(2-b) - b = 10
2 - 2b = 10
-2b = 10 - 2
-2b = 8
b = 8/-2
b = -4
from the second eq.
a - b = 10
a - (-4) = 10
a + 4 = 10
a = 10 - 4
a = 6
Check:
from the first eq.
6 + (-4) = 2
6 - 4 = 2
question (e) only please show working as well appreciate it
Answer:
a. f(2) = 6
b. f(3) + f(-3) = 62
d. 3(x+1)^2 - 5(x+1) + 4
e. This one looks like the secant line equation. Not fully sure.
Step-by-step explanation:
You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.
For the other two , you have use algebra. For d, you replace x with x+1.
if you multiply the number by to end at 4 the results you gave will be the same of three times the number decreased by 7
Answer:
11
Step-by-step explanation:
Let the number be x,
2x+4 = 3x-7
Collect like terms
2x-3x= -4-7
-x =. -11
Multiply both sides by -1
x. =. 11
Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."
Hope This Helps :)
Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€"2(x â€" 2)(x â€" 4) f(x) = â€"2(x 2)(x 4).
To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
Learn more about equitation here:
https://brainly.com/question/3337307
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answer:
number · 0.50 = 50% of a number
number · 0.10 = 10% of a number
number · 0.75 = 75% of a number
Step-by-step explanation:
50% = 0.50
10% = 0.10
75% = 0.75
PLEASEEEE HELP FOR BRAINLIST!!!!!!!!!
Same thing as before!
First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.
jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy
How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process
Answer:
12.1x+t
Step-by-step explanation:
since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving
Shape 1 and shape 2 are plotted on a coordinate plané. Which statement about the shapes is true?
Answer:
We need to see all of the choices, but they are congruent and reflected and rotated.
Step-by-step explanation:
Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
Dado P(x) = x2– kx + 2, hallar el valor de k para que P( – 2)=8
Solve. 2/3x+5/6=3 1/3 Enter your answer as a mixed number in simplest form in the box.
Answer:
10/3
Step-by-step explanation:
[tex] \bf \huge \: Question:[/tex]
Find the value of x
[tex]\bf \huge \: Equation \: provided:[/tex]
[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]
[tex]\bf \huge \: Solution:[/tex]
[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]
[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]
[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]
[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]
[tex] \bf \: On \: Simplification:[/tex]
[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]
[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]
[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]
[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]
[tex]\bf On \: Simplification:[/tex]
[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]
[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]
[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]
______________________________________
[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]
[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]
Is this a quadratic function? Why or why not?
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
To solve 5x + 2 = 1/125, you would first:
The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The solution of the given equation is
[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]
Learn more about finding the solution graphically here:
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#SPJ2
solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0
[tex] \: \: \: \: \: [/tex]
[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]
refer to the attachmenthope it helpsList the ordered pairs
Here are the choices
lines y = -x+2 and y=x+1
point of intersection of the linear equations is
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)
[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answer:
jjjjStep-by-step explanation:
Are these lines perpendicular?
X
yes
no
Answer:
[tex]\huge\boxed{\sf No.}[/tex]
Step-by-step explanation:
Perpendicular lines:
When two lines intersect each other at 90 degrees, they are said to be perpendicular lines.
Answer:
The given lines are not perpendicular lines since they do not intersect each other at 90 degrees.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807what are 43.6÷8 use compatible numbers using the quotient
Answer:
7.3
Step-by-step explanation:
1. Simplify 3(2x - y) + 6y.
5x + 7y
6x + 3y
2x + 3y
6x - 7y
Answer:
6x + 3y
Step-by-step explanation:
3(2x - y) + 6y ← distribute parenthesis by 3
= 6x - 3y + 6y ← collect like terms
= 6x + 3y
[tex]\huge\boxed{Hi\: there!}[/tex]
Here, we use the Distributive Property:
[tex]a(b+c)=ab+ac[/tex]
3(2x-y)+6y=6x-3y+6y
Combine like terms:
6x+3y
[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]
[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]
For f(x)=−2x+4, find f(x) when x=−3.