8 boys, x girls, 4 pencils each, total number of pencils 52.
The equation can be 4(8+x) = 52
So lets solve:
4(8+x)=52
Divide 4 on both sides:
8 + x=52 / 4
8 + x = 13
Subtract on both sides:
x = 13 - 8
x = 5
There are 5 girls in the class.
Now lets solve to double check:
4(8+5)=52
4(13)=52
52 = 52
Yes!
This means that there are 5 girls in the class.
I hope this helps! :)
Taking into account the definition of equation, there are 5 girls in the class.
Definition of equationAn equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.
The unknowns, that is, the values to be found, are represented by letters.
The equality between the two algebraic expressions is only verified for certain values of the unknown.
In this way, the solution of an equation means determining through certain procedures the value that satisfies it.
Equation for this situationA class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.
An equation that models this situation is:
4×(8+x)= 52
It is considered that:
When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.Solving in this case:
8 +x= 52÷4
8 +x= 13
x= 13 -8
x= 5
Finally, there are 5 girls in the class.
Learn more about equation:
https://brainly.com/question/296895
https://brainly.com/question/643184
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5
Answer:
6) y= -3x+3
7) y= -4x+5
Step-by-step explanation:
X(squared) + 16x +60=0
Solving quadric equations by factorising
Answer:
x = - 10, x = - 6
Step-by-step explanation:
x² + 16x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)
The factors are + 10 and + 6 , since
10 × 6 = 60 and 10 + 6 = 16 , then
(x + 10)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x + 6 = 0 ⇒ x = - 6
need sever help with number 4 , pls explain
Answer:
1. 35
2. 65
3. 10
4. 115
5. 65
6. 55
7. 125
Step-by-step explanation:
triangles add up to 180 with all 3 sides
Answer:
115°
Step-by-step explanation:
Vertically opposite angles are equal.
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1
Answer:one way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Step-by-step explanation:
It t takes a snail 10 seconds to move 1 centimeter.
How many centimeters does said snail move after 2 seconds?
2.5?
answer is 0.2 using cross multiplication.
Answer:
in 2 seconds, the snail will only move 0.2 centimeters or 2 millimeters. And after 2.5, 0.25 centimeters, or 2.5 millimeters.
Step-by-step explanation:
6.
Identify the vertex of the parabola.
A. (−4, 0)
B. (−3, 1)
C. (1, −3)
D. (−1, −3)
Step-by-step explanation:
the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.
so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).
so, B is correct
Answer:
B. (−3, 1)
Step-by-step explanation:
-3, 1 is the vertex I believe
-3,1 should be the one
Mia and Rosa are on a bike ride. Mia's bike has a 29" diameter wheels and Ross's bike has 26" diameter wheels
Answer:
he wheels and wheels his bike he has 26 bikes in all the e mia has 29 in all
what is the value x in following sequences 3,12,x,48,75,...
Answer:
30
Step-by-step explanation:
12-3= 9
75-48= 27
This is quadratic because it is like saying what is in between 9 and 27.
So the pattern is 9, 18, 27
so 12-3= 9
30-12= 18
48-30= Also 18
75-48= 27
Hope this helped :)
A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49
Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:
c. 0.51
If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, these following two events result in the rights of exactly one of the two mountains being bought:
First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).Hence:
[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]
Thus, option c is correct.
A similar problem is given at https://brainly.com/question/24174994
Which set of ordered pairs does not represent a function?
O {(-7, -8), (-7,5), (-6,0),(-1,8)}
O {(-2,4), (6,-5), (-6, -9), (1, -5)}
{(8, -2), (3,9), (-1, -5), (-3,9)}
{(9,7), (2,7), (-8, -3), (-1,1)}
Answer:(-7, -8), (-7,5), (-6,0),(-1,8)
Step-by-step explanation:
Functions are relations with one output (y) for any unique input (x).
The first set has two values of y when x = -7: -8 and 5.
The other sets have unique values for each x.
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?
Answer:
The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 45 minutes of calls is $22.80 , and the remaining
credit after 64 minutes of calls is $19.76.
Step-by-step explanation:
What is the remaining credit after 73 minutes of calls?
;
Not sure what figure you are referring to, write an equation from the given values:
Assign the values as follows
x1 = 45; y1 = 22.80
x2 = 64; y2 = 19.76
:
Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29
m = -.16
:
If the red marker is red why isn’t the blue marker blue when it rains...?
among 240 students it was fount three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket the number of students whole prefer to play hockey and cricket respectively are.
a) 180 and 30 b) 40 and 180
c) 180 and 40. d) none of these
question in doc below .
The answer is:
y=2x+3
A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?
Answer:
3 hours
Step-by-step explanation:
each hour is 2,000 gallons filled up 1 hour = 2,000
2 hours = 4,000
3 hours = 6,000or 4,850
If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
How many hours has the swimming pool been filling up with water?Given that;
24 gallons of water in the pool to start withThe swimming pool is filled with 2,000 gallons per hourTime taking in filling up 4,850 gallons.The pool is filled with 2,000 gallons in 1 hour
To fill with 4850 gallons, we require x hours
Cross multiply, hence;
x = ( 1hr × 4850 gallons ) / 2,000 gallons
x = 4850hrs / 2000
x = 2.4 hours
Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
Learn more word problems here: brainly.com/question/2610134
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5) How would you break down 40% to find 40% of a number? Check all
that apply.
2 points
4(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%
Answer:
(A) and (C)
Step-by-step explanation:
4(10%) and 10%+10%+10%+10%+
Answer:
4(%10) = 40%
and
10% + 10% + 10% + 10% = 40%
There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot.
What is the ratio of yellow cars to the total number of cars in Erica’s toy box?
Show work
4: 15
15 : 4
5 : 4
2 : 3
Answer:
4 : 15
Step-by-step explanation:
total cars = 10 + 12 + 8 = 30 , then
yellow : total
= 8 : 30 ( divide both parts by 2 )
= 4 : 15 ( in simplest form )
Answer:
4 : 15 is the correct answer.
Step-by-step explanation:
10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.
Resolver para y.
y-14=X
Answer:
y = x + 14
Step-by-step explanation:
y - 14 = x
y = x + 14
Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2
Step-by-step explanation:
boy, that is hard to decipher ...
but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.
remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, going from N to M :
x changes by (2d - 2b) units.
y changes by 0 units (2c to 2c).
so, the slope of NM is 0/(2d - 2b) = 0.
going from K to L :
x changes by (2a - 0) = 2a units.
y changes by 0 units (0 to 0).
so, the slope of KL is 0/2a = 0.
R and S are the middle points between K and N, and between L and M.
R = ((2b+0)/2, (2c+0)/2) = (b, c)
S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)
so, going from R to S :
x changes by (d+a-b) units.
y changes by 0 units (c to c).
so, the slope of KL is 0/(d+a-b) = 0.
as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.
Hope I helped! Have a nice day! Really hope this helps k12 students!
THE FIRST ONE TO GET IT CORRECT GETS 100 POINTS PLEASE
Answer:
B should be correct
Step-by-step explanation:
hope this helped
mark me brainliest
plus... this aint no 100 points... just such a scam...
i just did it cause i help ppl. i dont look at points...
Answer:
Your answer would have to be the last one ( [tex]a^{-7}[/tex]).
Step-by-step explanation:
Hope this helps!
help please!!!!!!!!!
Answer:
c
Step-by-step explanation:
my mom had a abortion when i was 6
Help help help help help me please
Answer:
b. y < -9
Step-by-step explanation:
This is because > or < have a dashed boundary line and =< and >= have non-dashed lines.
The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?
Step-by-step explanation:
sorry for my ugly handwriting, hope it helps
3x=15 question answer
Answer:
x=5
Step-by-step explanation:
To solve for the value of x, you have to get x by itself. So to get rid of the 3, divide both sides by 3. 3x/3 leaves x. 15/3 leaves 5. So you're left with x=5.
The solution of expression 3x = 15 is,
⇒ x = 5
We have to given that,
An expression to simplify,
⇒ 3x = 15
We can simplify the expression for value of x,
⇒ 3x = 15
Divide both side by 3,
⇒ 3x/3 = 15 / 3
⇒ x = 5
Therefore, The solution of expression 3x = 15 is,
⇒ x = 5
Learn more about the mathematical expression visit:
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Can some help me plzzzz
Answer:
Should be 9 grams
Step-by-step explanation:
240÷40=6 576÷2÷2÷2÷2÷2÷2=9
what is the difference of 256,805+136,667
WHAT IS THE VALUE OF 4^3
4 AND A SMALL THREE IN THE RIGHT CORNER
THE AWNSER CHOICE
12
16
43
64
IF AWNSER NOT KNOW COMMENT BELOW IG.,...
Answer:
The answer is 64
Step-by-step explanation:
When you are dealing with exponents you have to multiply the main number as many times as the exponent number. [tex]4^{3}[/tex]
In this case, you multiply 4 three times
[tex]4*4 = 16\\16*4=64[/tex]
If 7 > 2, then explain why -7 < -2.
A. The above statement is false.
B. Because the sign changed.
C. Because -7 is more negative and further to the left on the numberline than
-2.
D. Because 7 is an odd number and 2 is even, which flips when they become
negative, where -7 becomes even and -2 becomes odd.
Answer:
C
Step-by-step explanation:
Hope it can help you lovelots
If 7 > 2, then explain why -7 < -2.
Answer =》C. Because -7 is more negative and further to the left on the numberline than
-2.
______
RainbowSalt2222 ☔
Please answer quick !! (show work too) Thank you!
Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?
Here u go
Answer:
$374
Step-by-step explanation:
She makes $30 per hour, today she worked 5 hours =) 30.5=150 ($)
28% of $800 = 28/100 . 800 = 224 ($)
Total: 150+224 = 374 ($)
Anyone know the answer? Guys help plzzzz
Answer:
[tex]\displaystyle w = 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/Coefficients
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify equation.
[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]
Step 2: Solve for w
[Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle -10 = w - 11[/tex][Addition Property of Equality] Add 11 on both sides: [tex]\displaystyle 1 = w[/tex]Rewrite: [tex]\displaystyle w = 1[/tex]