Answer:
g=3
Step-by-step explanation:
The value of g is 3 and it is correct when checked by substituting g=3 into the equation.
Given:
4.1g + 6 = 2.1g + 12
collect like terms
4.1g - 2.1g = 12 - 6
2g = 6
divide both sides by 2
g = 6 / 2
g = 3
Check:
4.1g + 6 = 2.1g + 12
4.1(3) + 6 = 2.1(3) + 12
12.3 + 6 = 6.3 + 12
18.3 = 18.3
Therefore,
The value of g is 3 and it is correct when checked by substituting g=3 into the equation.
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A line graph titled Meals per Day has number of days on the x-axis, and number of meals prepared on the y-axis. At 5 days there are 30 meals prepared; at 10 days, 60 meals; at 15 days, 90 meals; at 20 days, 120 meals.
Use proportional reasoning to find the constant of proportionality for the relationship shown on the graph.
Answer:
6
Step-by-step explanation:
30 meals ÷ 5 days = 6
60 meals ÷ 10 days = 6
90 meals ÷ 15 days = 6
120 meals ÷ 20 days = 6
Constant of proportionality is 6.
y = kx
y = 6x
Answer:
*6=answer
Step-by-step explanation:
5*6=30
10*6=60
etc
Admission to a museum of natural history is 12.00 for adults and 6.00 for children. On a particular, day 500 people attend the museum. The museum collects 5,160 in admission
Answer:
Adult Admission: 215 Tickets $1,290
Child Admission: 385 Tickets $3,870
Step-by-step explanation:
Child:
5,160÷4=1,290
1,290÷6=215
Adult:
500-215=385
5,160-1,290=3,870
1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, y, after x days. In how many days will the water level be 26 feet?
Slope(m)=
y-intercept(b)=
equation y=
Answer=
Slope = -0.5
Y-intercept = 34
Equation: y = -0.5x + 34
Answer = It will take 16 days for the water level to be 26 feet.
The question is an illustration of a linear function.
The equation of the function is: [tex]\mathbf{y = 34- 0.5 x}[/tex]The number of days to reach 26ft is 16The given parameters are:
[tex]\mathbf{Level = 34ft}[/tex]
[tex]\mathbf{Rate = -0.5ft/day}[/tex]
The equation of the function is:
[tex]\mathbf{y = Level +Rate \times x}[/tex]
Where:
y represents the water level
x represents the number of days
So, we have:
[tex]\mathbf{y = 34- 0.5 \times x}[/tex]
[tex]\mathbf{y = 34- 0.5 x}[/tex]
A linear equation is represented as;
[tex]\mathbf{y = mx + b}[/tex]
So, by comparison:
[tex]\mathbf{Slope(m) = -0.5}[/tex]
[tex]\mathbf{y-intercept (b) = 34}[/tex]
When the water level is 26, it means y = 26.
So, we have:
[tex]\mathbf{y = 34- 0.5 x}[/tex]
[tex]\mathbf{26 = 34 - 0.5x}[/tex]
Collect like terms
[tex]\mathbf{26 - 34= - 0.5x}[/tex]
[tex]\mathbf{-8= - 0.5x}[/tex]
Divide both sides by -0.5
[tex]\mathbf{16= x}[/tex]
Rewrite as:
[tex]\mathbf{x = 16}[/tex]
Hence, the number of days to reach 26ft is 16
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The airplane model scale on the box says that 4 cm represents 5 m. The actual wing measures 6.4 m by 16.95 m. What are the dimensions of the model wing?
Answer:
Dimensions of model wing is 5.12 cm * 13.56 cm
Step-by-step explanation:
Here, we are told that in the model we have 4 cm representing 5 m
So if 4 cm rep 5 m
x cm rep 6.4 m
4 * 6.4 = 5 * x
25.6 = 5x
x = 25.6/5
x = 5.12 cm
4 cm rep 5 m
x cm rep 16.95 m
4 * 16.95 = 5 * x
x = (4 *16.95)/5
x = 13.56 cm
Find the value of x and m
Answer:
x=5 m=3
Step-by-step explanation:
gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
the answer is 5 dimes and 1 nickel.
hope this helps <3
Answer:
4 = dimes and 2 = five cents
Step-by-step explanation:
1/4 x 3
(in fraction form please)
Answer:
3/4
Step-by-step explanation:
1/4 x 3/1 = 3/4
Every whole number has a /1 under it! So when multiplying you do 1/4 x 3/1.
If you are confused, basically all you do is multiply 1 and 3 (numerators) then 4 and 1 (denominators)
The multiplication of 1/4 and 3 comes to be 3/4.
We know that every number has 1 in its denominator.
So, [tex]\frac{1}{4} *3[/tex] can be written as [tex]\frac{1}{4} *\frac{3}{1}[/tex]
How multiplication of two fractions take place?To multiply two fractions, multiply the numerator of the first fraction to the numerator of the second fraction followed by multiplication of the denominator of the first fraction to the denominator of the second fraction.
So, [tex]\frac{1}{4} *\frac{3}{1} = \frac{1*3}{4*1}[/tex]
[tex]\frac{1}{4} *\frac{3}{1} = \frac{3}{4}[/tex]
So, multiplication of 1/4 and 3 = 3/4
Therefore, the multiplication of 1/4 and 3 comes to be 3/4.
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Solve the problem. Give the equation using x as the variable, and give the answer.
The product of 8, and a number increased by 7, is 112. What is the number?
The equation is
(Do not simplify.)
The number is
(Simplify your answer.)
Answer:
The equation is 8x+7=112
Step-by-step explanation:
the answer is 13.125
this is what i got. i am sorry if it is wrong.
Multiply the polynomials (3x+4)(5x+1)
Answer:
15x^2 + 23x + 4
Step-by-step explanation:
(3x+4)(5x+1)
You put them around a square, like in the picture.
You then cross multiply them.
After that, add all the numbers together.
Hope this helped!
9- 3(2x + 7) + 4x – 45
Answer:
−2x−57
Hope this helps!
Lisa and two friends shop at a bookstore. they each choose a book and share the cost equally among the 3 of them the total cost of the books is $27:00
A. create an equation that models the situation, using c to represent how much in dollars each person pays
B. how much does each person pay
Answer:
27/3=9 the answer is nine
Step-by-step explanation:
what is the domain or range of y = one-fourth x minus 6
Answer:
domain and range will be ( negative infinity, positive infinity
Solve for v.
42 =3v- 15
Simplify your answer as much as possible.
Step-by-step explanation:
42=3v-15
We move all terms to the left:
42-(3v-15)=0
We get rid of parentheses
-3v+15+42=0
We add all the numbers together, and all the variables
-3v+57=0
We move all terms containing v to the left, all other terms to the right
-3v=-57
v=-57/-3
v=+19
Answer:
v= +19
Step-by-step explanation:
Hello there! Can someone help me with this and give me an expalination? I kinda get it but I still need a bit of help! And please provide the answer after your explaintion!
2. The Length of a rectangle is (x+5) and the area
x²+7x+10. What is the width ?
Answer:
Step-by-step explanation:
(x+5)(x+2)/(x+5)= x+2 is the with
Find the additive inverse of -1/8
Answer:
1/8
Step-by-step explanation:
(Dont mind me, just need to add more characters LOL)
х
у
-1
1
0
2.
1
4
2
8
3
16
Using the table from Question 7, select 1 other possible representation,
4
Of(-1) =1
f(n) = f(n-1)-2
Of(-1) = 1
f(n) = f (n − 1) +
Of(-1) = 1
f(n) = f(n-1) + 2
of(-1) = 1
f(n) = f (2) - n-1
Answer:
1,7 so you can do add to get to it
y = 2x – 5
X Y
0 y1
2 y2
5 y3
7 y4
y1=?
y2=?
y3=?
y4=?
Answer:
y1 = -5
y2 = -1
y3 = 5
y4 = 9
Step-by-step explanation:
The equation of the table is
y = 2x - 5
The table is
→ x → y
→ 0 → y1
→ 2 → y2
→ 5 → y3
→ 7 → y4
To complete the table by finding the values of y substitute every x in the equation by its value to find the corresponding y
∵ y = 2x - 5
∵ x = 0
→ Substitute x by 0
∴ y1 = 2(0) - 5
∴ y1 = 0 - 5
∴ y1 = -5
∵ y = 2x - 5
∵ x = 2
→ Substitute x by 2
∴ y2 = 2(2) - 5
∴ y2 = 4 - 5
∴ y2 = -1
∵ y = 2x - 5
∵ x = 5
→ Substitute x by 5
∴ y3 = 2(5) - 5
∴ y3 = 10 - 5
∴ y3 = 5
∵ y = 2x - 5
∵ x = 7
→ Substitute x by 7
∴ y4 = 2(7) - 5
∴ y4 = 14 - 5
∴ y4 = 9
Answer:
(D) y2 and y4
Step-by-step explanation:
please quickly
4(1-x)+2x=-3(x+1)
Answer: x = −7
Step-by-step explanation:
Laila read 36 pages in 4 hours. Which expression can be used to find the number of pages she read per hour?
StartFraction 36 hours Over 4 pages EndFraction
StartFraction 4 pages Over 36 hours EndFraction
StartFraction 4 hours Over 36 pages EndFraction
StartFraction 36 pages Over 4 hours EndFraction
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:
8x3 + 12x2 - X
B
4x3 -- 5x2 - x
C
-4x3 + x2 + 6x
2x3 + 4x2 -- 5x
Answer:
A- 8x^3 + 12x^2 - x
Step-by-step explanation:
The symbol ^ with a 2 is squared and ^ with 3 means cubed.
1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).
2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.
3. Now the equation should be simplified.
1 × 5x^2 = 5x^2
1 × 6x^3 = 6x^3
1 × 2x = 2x
-1 × 3x = -3x
-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.
-1 × -7x^2 = 7x^2
4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2
5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.
6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.
If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3
[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]
Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
Does anyone else have the answer to tan
Answer:
What??
Step-by-step explanation:
value of the 6 in 36,282.563?
Answer:
6,000 or 6 hundredths
Step-by-step explanation:
Given the function y=2x , which function represents a translation to the right of 4 units?
Answer:
A function represents a translation to the right of 4 units is y=2(x-4)
Step-by-step explanation:
We are given a function: [tex]y=2x[/tex]
We are supposed to find function represents a translation to the right of 4 units
Rule: f(x)→f(x-c)
When the graph is shifted to right by c units then f(x)→f(x-c)
Function y = f(x)=2x
After a translation to the right of 4 units using rule
f(x-4)=2(x-4)
So, A function represents a translation to the right of 4 units is y=2(x-4)
A box of Cookies original cost $2. 15. It is on sale for 15% off. What is the cost of the cookies after discount ?
Answer:
$1.83
Step-by-step explanation:
$2.15 (original price of cookies) - 15% (discount) = $1.83 (rounded since the original total was: 1.8275)
The sum of two numbers is x. If one of the numbers is 12, what is the other?
a. 12 x
b. 12 - x
c. 12 + x
d. x - 12
Answer:
D
Step-by-step explanation:
The question states that the sum of two numbers is x, and they give us one number which is 12. We know that 12 + 12x cannot equal x. We also know that 12 + 12 + x = x will cancel out the variable. Then, we can eliminate B, as the questions stated that the sum of two numbers is x, and they gave us one number of x. We know that the other number will be the unknown value minus 12, because 12 + x - 12 = x will simplify into x = x, which is true.
Write y - 4 = 1 ( x - 4) in slope intercept form.
Answer:
y=x
Step-by-step explanation:
First, distribute the 1 to the x and -4. Both of these when multiplied by one equal their original value, leaving you with y-4=x-4.
Then, to isolate the y, you add 4 to both sides. This leaves you with simply y=x.
You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.
Answer: 768
Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.
