a) 1,000 + 0 + 40 + 9
b) 40,000 + 3,000 + 800 + 70 + 0
c) 8,000,000 + 100,000 + 5
In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?
A. 50
B. 75
C. 35
D. 105
E. 95
Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.In this problem, the variables are:
Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
To learn more about system of equations, you can take a look at https://brainly.com/question/24823220
Match the inequality to the graph of the solution C - 6 < 4
Answer:
A
Step-by-step explanation:
C - 6 < 4
+6 +6
C < 10
Open circle at 10 and shade to the left.
Solve and graph the solution to the inequality -2(2x-3)<-26
Answer:
[tex]x > 8[/tex]
Step-by-step explanation:
1. Simplify the expression
Expand the parentheses:
[tex]-2*2x-2*-3<-26[/tex]
Simplify the arithmetic:
[tex]-4x+6<-26[/tex]
2. Group all constants on the right side of the inequality
Subtract 6 from both sides:
[tex]-4x+6-6<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-32[/tex]
3. Isolate the x
Divide both sides by-4:
When dividing or multiplying by a negative number, always flip the inequality sign:
[tex]\frac{-4x}{-4} >\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]\frac{4x}{4} >\frac{-32}{-4}[/tex]
Simplify the fraction:
[tex]x>\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]x>\frac{32}{4}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x>\frac{8*4}{1*4}[/tex]
Factor out and cancel the greatest common factor:
[tex]x>8[/tex]
4. Solution on a coordinate plane
Solution:
[tex]x>8[/tex]
Interval notation:
[tex](8, { \infty} )[/tex]
-39=18+4m enter your answer as a mixed number in simplest form in the box m=
Answer:
Step-by-step explanation:
-39 = 18 + 4m
4m + 18 = -39
Subtract 18 from both sides
4m = -39 - 18
4m = -57
Divide both sides by 4
m = -57/4
[tex]m = -14\dfrac{1}{4}[/tex]
Answer:
-14 1/4
Step-by-step explanation:
I took the test
Line m passes through
points X and Y. Line n passes through points x
and Z. If m and n have equal slope, what can
you conclude about points X, Y, and Z? Explain.
Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
To learn more about slopes,
https://brainly.com/question/3605446
#SPJ2
Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
What is 4 plus 3 plus 6 plus 10
Answer:
23
Step-by-step explanation:
4+3+6+10
4+3 = 7
7 + 6 = 13
13 + 10 = 23
This is super easy, no offense
[tex]\sf HELP![/tex]
[tex]\sf 17=2x-9[/tex]
Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
[tex]\sf 2x-9=17[/tex]
[tex]\sf 2x-9+9=17+9[/tex]
[tex]\sf 2x=26[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]
[tex]\sf x=13[/tex]
1. The weight of a newborn animal is given by the formula W = 3d + 9, where W is the weight
in grams and d is the number of days since hatching.
(a) What is the independent variable?
(b) What is the dependent variable?
(c) What will the weight of the newborn animal be 3 days after it hatches?
a circle plane figure bounded by a curved line called the
Answer:
Circle
Step-by-step explanation:
If triangle weighs 1 gram how much does a square weigh
Answer:
the answer should me 1.5 grams
Step-by-step explanation:
nye nye nye nye nye nye nye
Answer:
what question is this lol
Step-by-step explanation:
you pay in Albany for a $34 pair of pants? 8) At best buy they have a 42" TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answer:
$1,131.56
Step-by-step explanation:
$1250 x (1-15%) = $1,062.50 Discounted Price
$1,062.50 x 6.5% = $69.06 Sales Tax
$1,062.50 + $69.06 = $1,131.56
Solve for
x
x
−
1
3
=
6
Give your answer as an improper fraction.
Answer:
x
=
13
+
6
=
19
Step-by-step explanation:
this is so simple
Step-by-step explanation:
x=19 ayan na yung sagot huh
Robert saved 15% of his paycheck
%
If he saved $30 how
,
muchi
his paycheck?
was
Answer:
$200
Step-by-step explanation:
Change 15% into decimal notation, that will give you 0.15
Divide $30 by 0.15
$30/0.15 = $200
Therefore, his paycheck was $200
Today, both the soccer team and the basketball team had games. The soccer team plays every 4 days and the basketball team plays every 5 days.
Answer:
20
Step-by-step explanation:
Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.
There are two ways you can do it.
1. List out the multiples of each number
2. multiply the two days together
If you want to do it the first way it would look like this...
5 10 15 20
4 8 12 16 20
When you do it like this it shows you that the 20th day is the day they would both play together
If you want to do it the second way it would look like this...
4th day X 5th day = 20th day
Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one
What is -1/2(-4/5) multiplied then in simplest form?
QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one)
Answer:
hence the total cost to plough the trapezium field
is Rs. 893500.50
Step-by-step explanation:
the required answer may be wrong .... but this is the way to do it....
hope this helped you...☺️
comment if any confusion
guys pls help me!!!!!!
Answer:
48 degrees
Step-by-step explanation:
Answer: 6.8
Step-by-step explanation:
nnxj
A bag has 4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball randomly
1-100%. You'll never know until you try it yourself.
PLS help I will mark brainiest and say thanks and give five stars.
Answer:
m<BEC=80º
Step-by-step explanation:
a line is 180º total
180-70-30=80
Answer:
BEC = 80°
Step-by-step explanation:
Supplementary = 180°
70 + 30 = 100
180 - 100 = 80
Hope this helps! Pls give brainliest!
Help me with this problem plzzz
Answer:
definition of perpendicular
Step-by-step explanation:
typically when 2 lines cross they are 90 degrees or other word... perpendicular
Write your answer as a coordinate (x,y)
Find the midpoint between the given pairs of points.
(10,8) (14,-6)
Answer:
(12,1)
Step-by-step explanation:
(10+14)/2 and (8+-6)/2
= (12,1)
help - *sobs* lol T_T
A. 112°
21x+5+37x+1=180
58x+6=180
-6
58x=174
÷58
X=3
37(3)+1
111+1
112
Fill in the missing number. % of 90 = 54
Answer:
60
Step-by-step explanation:
Trust me homie
Factor each polynomial x^2-9x+10
Show your work
Answer:
not factorable
Step-by-step explanation:
[tex]x^{2} - 9x +10\\[/tex]
The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]
SOMEONE HELP WITH THIS PLEASE!!
Answer:
Step-by-step explanation:
you just have to evaluate the expression and then solve it
plsssssssssssss answer
Answer:
Step-by-step explanation:
104 x
---- = ---
50 60
Cross multiply 104 by 60. 6240 is your answer.
Your new equation is 6240 = 50x.
Divide both sides by 50. 6240/50 = x
x = 124.8 mph (miles in one hour)
I need some help with this plz
Answer: acute angle
Step-by-step explanation:
Hi, I was absent yesterday on my math class and I missed the whole lesson of yesterday , teacher gave us homework on delta math and I still quite do not understand how to solve it please help!