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.
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There were 25 vocabulary words on the quiz. Megan got 60% correct. How many did she get correct?
Answer:
15
Step-by-step explanation:
25=100º
x=60
[tex]\frac{25}{x}=\frac{100}{60}[/tex]
[tex]\frac{x}{25}=\frac{60}{100}[/tex]
x=15
Which segment is a dilation of BC using A as the center of dilation and a scale factor of 2/3
Answer: 45
Step-by-step explanation:
The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.
Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.
Part B
What is the measurement of angle G?
Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.
Part D
What is the measurement of angle C?
Answer:
Part A) g + 30 + 90 = 180
Part B) G = 60 degrees
Part C) c + 60 = 180
Part D) C = 120 degrees
Step-by-step explanation:
Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.
g + f + e = 180
g + 30 + 90 = 180
Part B: g + 30 + 90 = 180
g + 120 = 180
g = 60
Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.
c + g = 180
c + 60 = 180
Part D: c + 60 = 180
c = 120
Answer:
A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.
B:Solve the equation from Part A to find the measurement of angle G:
90° + 30° + g
180° – 90° – 30°
Angle G measures 60°.
C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.
The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:
c + 60° = 180°.
D:Solve the equation from Part C to find the measurement of angle C:
c + 60°
= 180°
c
= 180° – 60°
c
= 120°.
Angle C measures 120°.
the exact answer from edmentum
Step-by-step explanation:
Can someone help solve?
Volume can be found by using the formula: volume = lwh.l = 4, w = 8, and h = 5Volume =
Answer:
160=volume
Step-by-step explanation:
if l*w*h=volume, and l=4, w=8, and h=5. then we can get an equation:
4*8*5=volume
simplify to get your answer
160=volume
HELPP FAST im tired and it's due realy really really soon
Solve for x. PLEASE GIVE EXPLAINED WORK FOR IT
Answer:
x = 9
Step-by-step explanation:
7x - 25 = 4x + 2 (vertical angles)
7x - 4x = 2 + 25
3x = 27
x = 27/3
x = 9
4(9) + 2 = 38 degrees
evaluate the expression 1/4[x(2y+3z)] x=8 y=3z=5/3
Answer:
Step-by-step explanation:
x = 8 ; y = 5/3
[tex]3z = \dfrac{5}{3}[/tex]
[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]
what is
4 divided by 1/5
3 divided by 2/3
3 divided by 3/4
4 divided by 2/5
9 divided by 1/2
7 divided by 1/12
5 divided by 2/6
2 divided by 1/4
Step-by-step explanation:
0.50.9divides very wellAnswer:
1. 4 divided by 1/5 = 20
2. 3 divided by 2/3= 9/2
3. 3 divided by 3/4= 4.5
4. 4 divided by 2/5= 10
5. 9 divided by 1/2= 18
6. 7 divided by 1/12= 84
7. 5 divided by 2/6= 15
8. 2 divided by 1/4= 8
Step-by-step explanation:
i used my fraction calculator
Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?
1p
Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the
cost of 1t-shirt?
$2.00
$2.50
$3.00
$3.50
Answer:
One t-shirt would cost $3.50
Step-by-step explanation:
$21 / 6 t-shirts = 3.50 each
Answer:
3.50
Step-by-step explanation:
6(2) = 12
6(2.50) = 15
6(3) = 18
6(3.50) = 21
If he paid $21 for 6 t-shirts and each t-shirt was the same price...then the cost of 1t-shirt was $3.50. If you want to double-check this, divide $21.00 by $3.50 and you should get 6 as the answer!
solve please i need this fast
Answer:
Step-by-step explanation:
b)
5*95 math question ...................
Answer:
475
Step-by-step explanation:
the reason for this is because it just is
The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of y when x = 5?
Answer:
35/2
Step-by-step explanation:
y ~ x
y=ky
7=2k
k=7/2
y=(7/2) × 5
y=35/2
Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?
Answer
y = 32
Step-by-step explanation:
Let's solve your equation step-by-step.
0.3y+0.4(25−y)=6.8
Step 1: Simplify both sides of the equation.
0.3y+0.4(25−y)=6.8
0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)
0.3y+10+−0.4y=6.8
(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)
−0.1y+10=6.8
−0.1y+10=6.8
Step 2: Subtract 10 from both sides.
−0.1y+10−10=6.8−10
−0.1y=−3.2
Step 3: Divide both sides by -0.1.
-0.1y/-0.1=-3.2/-0.1
y=32
I hope this helps?
Find the difference. 8.6 − 2.87
Answer:
5.73
Step-by-step explanation:
The difference is 5.73.
Can someone help me?
Answer:
I'm not sure from my answer but I'm going to try
A = { a^2 - 4 = 0 }
A = { a^2 = 0+ 4 }
A = { a^2 = 4}
Take root of both sides
A = {a = 2}
A = {2}
B = { -2, -1, 0, 1, 2}
C = { 1, 2, 3, 4, 5, 6,7}
i) A\B
= {2} \ {-2,-1,0,1,2}
= ⌀ ( "null set" )
ii) (A\B) \C
= ( {2} \ {-2,-1,0,1,2} ) \ C
= ⌀ \ C
= ⌀ \ { 1, 2, 3, 4, 5, 6,7}
= ⌀ ( "null set" )
iii) (A ∪ B) \ C
= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C
= { -2, -1, 0, 1, 2} \C
= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}
= { -2, -1, 0 }
iv) ( A\B) ∩ ( A\C)
= ( { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )
= ⌀ ∩ ⌀
= ⌀
v) ( A ∩ B ) \ C
= ( { 2 } ∩ { -2, -1, 0, 1, 2 } ) \ C
= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }
= ⌀ "null set"
convert to standard form 2.9x10 to the power of 3 plssss help
Answer:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
[tex]2.9[/tex] × [tex]10^3[/tex]
But, if you need to write it in scientific notation, the answer is 2,900.
What should you do to get both numeric terms on the right side of the equation?
Answer: To Get both numeric terms on the right side, for example add 16 to both sides of the equation
Happy To help ;)
Step-by-step explanation:
Due tomorrow i need help please
Answer:
(-6,9)
Step-by-step explanation:
You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.
A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.
Which best describes why the function is nonlinear?
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
Answer:
C
Step-by-step explanation:
I think
Answer:
Step-by-step explanation:
d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
Number of tree purchased Total Cost ($)
1 60
2 120
3 180
4 240
5 290
For the linear function rate of change is constant.
Now, between 2 and 3 trees rate of change is given by
Now, between 3 and 5 trees rate of change is given by
This is clearly that the rate of change isn't constant. Therefore, the function is non-linear.
so,
d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
Learn more about linear function here
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helppppppppppppppppppppppppppppppppppppppmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
wheeeeeeeeeeeeere is theeeeeeeeeeee queeeeeeeeeestion?
A box of 15 cookies costs $9.
What is the cost for 1 cookie?
$_____
Answer:
15 box of cookies =$9
1 box of cookie = $9/15=$0.6
Answer:
.6
Step-by-step explanation:
9÷15 = 0.6
Can i get a step by step for this?
Answer:
x=86
Step-by-step explanation:
The angles of a triangle add up to 180 degrees.
we can use this to get a problem: x+52+42=180
simplify to get:
x+94=180
subtract 94 from each side to get your answer:
x=86
it takes 2/3 of an hour to paint 2/5 of a room
Answer:
1 and 2/3 hours or 5/3 hours
Step-by-step explanation
1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours and it'd be the whole room
QUESTION 12
Maria bought 6 books for a total of $360.00. Math books cost $80.00 and science books cost $50.00. How many science books did she buy? Your
answer should be a number only.
Answer: 4 science and 2 math books
Step-by-step explanation:
Let M and S stand for the numbers of math and science books.
We know that M+S = 6 books
and M*80 + S*50 = $360
Rearance the first: M = 6-S
Use this definition of M in the second equation:
(6-S)*80 + S*50 = $360
480-80S + 50S = 360
-30S = - 120
S = 4
Use S=4 in the first equation (M=6-S) to find the number of math books, 2.
Check to see if there number work:
4*($50)= $200
2*($80)= $320160
Total is $360. It works.
please do this for me
Refer to Exhibit 11-4. If a person's taxable income is $50,000, how much does he pay in taxes?
$9,250
$10,110
O $15,000
O $12,500
Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.
People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.
The amount of taxes is:
= 7,250 + ( 25% x (50,000 - 42,000))
= 7,250 + (25% x 8,000)
= $9,250
In conclusion, the person would pay $9,250 in taxes.
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MARKING BRAINLEIST + A THANKS !!
Transpose for p
w = p + cg
Answer:
p = w - cg
Step-by-step explanation:
w = p + cg ( isolate p by subtracting cg from both sides )
w - cg = p