The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
For what values of x and y are the two triangles congruent by HL?
Answer:
y = 4 and x = 11
Step-by-step explanation:
x = y + 7 Substitute the first equation into the second equation and
solve for y
x + 1 = 3y
y + 7 + 1 = 3y
8 = 2y
4 = y x = y + 7
x = 4 + 7
x = 11
the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides
Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.
Would appreciate brainly <3
Jamall paid the rent well past the due date for the month of April May and June as a result he had been charge a total of $75 as a late fee how much does he have pay as late fee per month
Answer:
its In “Growing Up: Key Moments,” which piece of evidence best supports the author’s idea that challenging moments help people learn as they grow up?
Step-by-step explanation:
bc ez ez e yba better then aut
Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop carrying case is $65. If n represents the cost of her old laptop carrying case, which proportion can be used to find n?
Answer:
C
Step-by-step explanation:
Because don't know old laptop cost.
So 65 dollars represent 100% and n(old case) represents 125%.
Anyone please help for A brainlist :)
Answer:
your answer is the second opition B
Step-by-step explanation:
i hope i helped
2^-3 x 3^-2
what’s the answer?
Answer:
1/72Step-by-step explanation:
[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex][tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]
[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]
What is power of 3 square root of 4 / square root of 2 in simplest radical form?
Answer:
√90=3√10
Step-by-step explanation:
HELP PLEASE FAST!!!!
Answer:
Domain = (-5,1,3)
Range = ( -4,-2,0,2,4)
This is not a function
Step-by-step explanation:
Domain = (-5,1,3)
Range = ( -4,-2,0,2,4)
Since one x value gives two points for y
this is not a function
Would you please help me solve for x it should be a degrees but I’m not sure what it is
Answer:
x=15º
Step-by-step explanation:
A triangle's angles add up to 180º.
∠A=30º
∠C=180º-45º
∠B=xº
To find ∠B we have to first find ∠C.
Since ∠C does not have an angle, knowing that a straight line is 180º we can subtract it from 45º to find ∠C.
180-45=135
∠C=135º
Now add ∠A and ∠C.
30+135=165
Subtract the sum from 180º
180-165=x
x=15º
Hope this helps :)
can someone please help me!! this assignment is due at 11:59 I need this done
Answer:
X~~21.98
Step-by-step explanation:
We use tangent here, as we have opposite and adjacent sides. (tan = opp/adj)
tan (20) = 8/x. Using a calculator, we get x is about 21.98
A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?
A.)24
B.)12
C.)96
D.)48
Answer:
D)48
Step-by-step explanation:
What’s the range of = 1 2 ⋅ 2 + 6 + 6
Answer: the range of 12 * 2 + 6 + 6 is 36
Step-by-step explanation:
Find the percent of each number mentally.
A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?
A. $2.63
B. $28.95
C.$41.63
D. $45.75
The total cost of the video controller is $41.63.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A video controller cost $39.
If a 6.75% sales tax is added,
that means,
6.75% of 39,
= 6.75 x 39 / 100
= 2.6325 taxed amount.
The total cost = 39 + 2.6325 = 41.63.
Therefore, $41.63 is the total cost.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
1/ sin 3x - sinx = 0
Answer:
equals 1x32 mc2
Step-by-step explanation:
mass–energy equivalence formula E
Please give answer for this
Answer:
100 square cm
Step-by-step explanation:
Area of figure 1 = l *b = 10 *7 = 70 square cm
Area of figure 2 = 6* 5 = 30 square cm
Area of shape = 70 + 30 = 100 square cm
Choose the numbers that is not a factor of 300.
A. 5
B. 6
C. 8
D.20
And explain!!
Answer:
C. 8
Step-by-step explanation:
Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.
8 is not a factor of 300.
Hope this helps :)
Need help answering this question for 30 points. ! :)
Answer:
g(- 1) = -2
Step-by-step explanation:
Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:
In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.
[tex]g(x) = - \frac{21 + x}{10}[/tex]
[tex]g(-1) = - \frac{21 - 1}{10}[/tex]
[tex]g(-1) = - \frac{20}{10}[/tex]
g(-1) = -2
Therefore, the output value when g(- 1) is: g(- 1) = -2.
this is homework and can someone do this because I have more homework to do.
Answer:
So the answer is the type of graph this is it is a tsunami graph telling about
Step-by-step explanation:
the percentage of it
A 10 person swim team goes out to breakfast and orders 30
cinnamon rolls. If all members of the swim team came in for
breakfast, how many rolls would each person get?
(Please give me a variable and do it like this attachment photo shows!)
3
Step-by-step explanation:
30÷10 to know how many each person has.God loves you
Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4
Answer:
A, B, D are correct
Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
Incorrect, 12 x 3 = 36, not 32
D. 32 divided by 8 = 4
Works, it is correct
-Chetan K
100 POINTS IF U GET THIS RIGHT!
Answer:
y-intercept: 5/3
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -8/3 + 5/3
=> Now, let's compare.
=> y = mx + b = y = -8/3 + 5/3
=> we can tell that the y-intercept is b, which is 5/3.
Hoped this helped.
[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]
Find the product of (3x + 7y)(3x − 7y)
Answer:
9x^2 - 49y^2
Step-by-step explanation:
Answer: 9x^2 - 49y^2
Step-by-step explanation:
(3x + 7y)(3x − 7y)
9x^2 -21xy + 21xy - 49y^2
9x^2 - 49y^2
2 or more angles are complementary if their sum is 90°. 3 angles are complementary. One angle is 3 times the value of the smallest angle and the largest angle is 5 times the value of the smallest angle.
I really need help again to find the measures of all the 3 angles.
Again like I said, “I give the Brainliest to whoever got the best correct answer with anyone’s best efforts of step-by-step explanation, so anyway guys, good luck with your answering and I will check to see if you understand my question or not in order to answer my mathematics question! :)”
Answer:
Smallest Angle : 10 degrees
Middle Angle : 30 degrees
Biggest Angle : 50 degrees
Step-by-step explanation:
3x+5x+x=90, 9x=90, x=10
Smallest Angle : 10 degrees
Middle Angle : 30 degrees
Biggest Angle : 50 degrees
For 250 points and brainiest......
Order the following number from least to greatest
1. -7, 0, -5
2. -3, -2, 10
3. -18.5, 18, -12.5
4. 26, -20, -24.5
Answer:
1.) -7,-5,0
2.)-3,-2,10
3.)-18.5,-12.5,18
4.)-24.5-20,26
Step-by-step explanation:
Here is the order
-7<-5<0#2
-3<-2<10#3
-18.5<-12.5<18#4
-24.5<-20<26This is slopes is this supposed to be negative or positive????
Cho hàm số y = (m + 1)x + 3 có đồ thị là đường thẳng d1 và y = 2x - m
có đồ thị là đường thẳng d2
a) (1,5 đ) Tìm giá trị m để d1 song song với d2.
b) (1,5 đ) Với giá trị m tìm được ở câu a, vẽ đồ thị 2 hàm số trên cùng một mặt
phẳng tọa độ.
c) (0,5 đ) Tìm khoảng cách giữa hai đường thẳng trong câu b
Answer:
What language is this
Step-by-step explanation:
If a sea turtle traveled 2.8 miles at
top speed in 2 hours, how far
did it travel in one hour?
Answer: 1.4 mph
Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.
Would appreciate brainly <3
Answer:
It will travel 1.6 mile
Step-by-step explanation:
Write the subtraction expression as an equivalent addition expression and then evaluate it.
−2−(−10)
Answer:
-2+10=8
Step-by-step explanation:
subtracting a negative is the same as adding a positive
(also they are like terms so this could be written as 10-2 but use the first one bc that's what they want)
100 IF U GET THIS RIGHT!
Answer:
Feeling like an addict that ain't had it, up and at it in a minute
If it hadn't been invented, my limit wouldn't be infinite
I'm feeling like an infant in a womb
I'ma be here 'til the tomb
Lately I've been in my room
Lookin' and lookin' at records on the wall
Hold up
Answer:
Slope:
7
y-intercept:
(0,2/5)
Step-by-step explanation:
Translate the phrase into an algebraic expression.
The product of 6 and c
Answer:
c x 6 = x
Product judy basically means multiplication.