Answer:
Volume of Gold = 0.4 cubic feet.
Step-by-step explanation:
First we have to make sure the units are same as the units the answer is required in.
Answer should be given in cubic feet.
Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.
The Density of Gold = [Mass of Gold/Volume of Gold]
By substituting values,
[tex]1204[/tex] ponds per cubic foot = [[tex]481.6[/tex] pounds / Volume of gold]
Making Volume of God the subject of the equation,
Volume of Gold = [[tex]481.6[/tex] pounds / tex]1204[/tex] ponds per cubic foot ]
Volume of Gold = 0.4 cubic feet.
what is the discriminant of p2+6p+9=0
p^2+6p+9=0
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b^2−4(ac)
Substitute in the values of
a, b, and c.
6^2−4(1⋅9)
Evaluate the result to find the discriminant.
36-4(9)
36-36
0
The discriminant of the quadratic equation p²+6p+9=0 is zero, suggesting that it has exactly one real, repeated solution.
The discriminant of the quadratic equation p²+6p+9=0 is calculated using the formula D=b²-4ac, where a, b, and c are the coefficients of the quadratic equation ax²+bx+c=0. In this equation, a=1, b=6, and c=9. Substituting these values into the discriminant formula gives us:
D = b² - 4ac
D = (6)² - 4(1)(9)
D = 36 - 36
D = 0
The discriminant is zero, which indicates that the quadratic equation has one real, repeated solution, meaning the parabola touches the x-axis at a single point.
Ichiko has guitar practice at 5:00 P.M. on Wednesday. It takes 20 minutes for him to get to his lesson from school. He spends an hour in the science lab before leaving. If it takes 10 minutes to get ready for the lab, what time does his class end?
5:00 practice - 20 minute walk - 60 minutes in science lab - 10 minutes to get ready for the lab.
5:00 - 90 minutes
3:30 for class end time
What is an equation of the line that is perpendicular to y=3x-9 and that passes through the point (3,1)
The correct answer is [tex]y=3x-8[/tex] as shown by the green line on the graph attached to this answer.
Need help with B. and C.
Hi, here is the solution...
Part B)
The Navy Pier Ferris has the circumference is 56% of the circumference of the first Ferris wheel.
The Navy Pier Ferris Circumference = 439.6 feet
Let's assume "x" be circumference of first Ferris wheel.
56% of x = 439.6
0.56 x = 439. 6 [56% = 0.56]
x = 439.6/0.56
x = 785.
Therefore, the circumference of the first Ferris wheel is 785.
It is diameter = 785/3.14 = 250 feet
So it is radius = 250/2 = 125 feet.
Part C)
The circumference = 785 feet
Speed = Distance/Time
Speed = 785/9
Speed = 87.2 feet per minute.
That's it. Hope you will understand the steps.
Thank you. :)
Estimate then record the product 293*4
I believe that the equations answer is around 1170. The answer to the equation is 1172
Answer:
1172
Step-by-step explanation:
Katie bought a dozen donuts for $1.99. Write an equation which shows how yo fib the price (p) of each donut.
$1.99/12
hope this helps
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m
It's B)
Sorry... I was late
Answer:
-7m - 8 = m - 4
Step-by-step explanation:
Our original equation is
-2m - 5m - 8 = 3 + (-7) + m
Combining like terms on the left, we have
-7m - 8 = 3 + (-7) + m
Combining like terms on the right, we have
-7m - 8 = -4 + m
Writing the equation with the variable first on the right hand side, we have
-7m - 8 = m - 4
Five ones and eight tenths Fifty-eight tenths which is greater
simplify (3x+2)(x-7)
Remember to follow the FOIL method.
Note that: FOIL = First, Outside, Inside, Last.
Multiply
First: (3x)(x) = 3x²
Outside: (3x)(-7) = -21x
Inside: (2)(x) = 2x
Last: (2)(-7) = -14
-------------------------------------------------------------------------------------------------------------
3x² -21x + 2x -14
Combine like terms
3x² (-21x + 2x) - 14
3x² - 19x - 14
3x² - 19x - 14 is your answer
~Rise Above the Ordinary
On the first day of the food drive, Mrs. Teasley's classes brought in 6 cans of fruit, 4 cans of beans, 7 boxes of noodles, and 4 cans of soup. Find the ratio of cans of fruit to the total number of food items collected. Then explain its meaning
You would add up all the food items total, and then compare that to only the fruit. so the total number is 21, and the number of fruit is 6. So the ratio should be 6:21
fruit:total food items
I believe that this is the answer, but I am not 100% sure
a large farm has 75 acres of wheat and 62.5 acres of corn. the farm crew can harvest the wheat from 12 acres and the corn from 10 acres per day. in how many days will all of the fields be harvested
Answer:
7 days
Step-by-step explanation:
First let's start with the wheat. If you know that there is 75 acres of wheat, and you can harvest 12 acres in one day, all you have to do is 75 divided by 12.
This would get you at 6.25, but a whole day would be 7.
Corn, you know that there is 62.5 acres. Same thing, you do 62.5/10, and will get you around 7 again.
what number decreased by 8.1 equals 4.9
In order to get your answer add 8.1 + 4.9 = 13. Then to double check subtract 13 by 8.1 which equals 4.9. Hope this helps!
Mary's account balance is -$45.62 Tom's account balance is -$42.55 which balance represents the greater number which balance represents the lesser amount owed
greater is Mary, lesser is tom
find the number of sides of a regular polygon if the measure of an interior angle is 157.5°
In a polygon with n sides, the sum of the measures of the interior angles, S, is
[tex] S = (n - 2)180 [/tex]
In a regular polygon with n sides, the measure of each interior angle, a, is the sum of the measures of the interior angles divided by the number of sides, or
[tex] a = \dfrac{(n - 2)180}{n} [/tex]
In this case, we know the measure of one angle, a = 157.5°, so we plug it into the second formula and solve for n.
[tex] a = \dfrac{(n - 2)180}{n} [/tex]
[tex] 157.5 = \dfrac{(n - 2)180}{n} [/tex]
[tex] 157.5n = (n - 2)180 [/tex]
[tex] 157.5n = 180n - 360 [/tex]
[tex] -22.5n = -360 [/tex]
[tex] n = 16 [/tex]
Answer: The polygon has 16 sides.
In order to find the number of sides for a regular polygon with an interior angle of 157.5°, we use the formula n = 360 / (180 - 157.5), which gives us n = 16. Hence, the polygon has 16 sides.
Explanation:In mathematics, the number of sides of a regular polygon can be found if the measure of an interior angle is known. Given that the interior angle is 157.5° we use the formula for calculating the measure of an interior angle in a regular polygon:
n = 360 / (180 - 157.5)
Where 'n' represents the number of sides in the polygon. Substituting 157.5 into the formula, the calculation becomes n = 360 / 22.5. By performing the calculation, we find that n = 16. Therefore, the regular polygon with an interior angle of 157.5° has 16 sides.
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help me please having trouble
Beth swam laps to raise money for a charity. Beth raised $15 plus $0.65 per lap that she swam. She raised a total of $80.
Let x represent the number of laps Beth swam.
What expression completes the equation to determine the total number of laps Beth swam?
How many laps did Beth swim?
The expression you would use is 15 + .65x = 80. If you solve for x, Beth swam 100 laps.
Hope its correct and good luck :)
The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?
about 51 feral cats
about 459 feral cats
about 428 feral cats
about 32 feral cats
You would solve the problem by substituting 9 for x in the equation f(x) = 50(0.952)^x. After calculating it, the estimated number of feral cats in 9 years is 32.
Explanation:The function given is f(x) = 50(0.952)^x, which models a declining feral cat population. To find out how many feral cats there will be in 9 years, plug in 9 for x in the formula: f(9) = 50(0.952)^9. Upon calculation, this equals approximately 32, hence, there would be about 32 feral cats after 9 years.
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The model f(x) = 50(0.952)x is used to predict the declining feral cat population over time. By substituting x = 9, we can predict there will be about 32 feral cats in 9 years.
Explanation:The function f(x) = 50(0.952)x describes the declining population of feral cats over years. To determine the number of feral cats in 9 years, we substitute x = 9 in the function.
Therefore, f(9) = 50 * (0.952)9.
When you compute this, you get approximately 32, so at the end of 9 years, we expect about 32 feral cats.
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Show all your work plz!! Use the Substitution method to solve the system of equations. x + y = 20 30x + 25y = 550
x + y = 20
30x + 25y = 550
Using the first equation, we can find a temporary value of x.
x = 20 - y
Now that we have a value of x, we can plug it into the second equation to find the exact value of y.
30x + 25y = 550
30(20 - y) + 25y = 550
Distributive property.
600 - 30y + 25y = 550
Combine like terms.
600 - 5y = 550
Add 5y to both sides.
600 = 550 + 5y
Subtract 550 from both sides.
50 = 5y
Divide both sides by 5.
y = 10.
Now we can plug the value of y into the original equation to find the value of x.
10 + x = 20
Subtract 10 from both sides.
x = 10
The value of x is equal to 10, and the value of y is also equal to 10.
solution is (x, y ) = (10, 10)
given
x + y = 20 → (1)
30x + 25y = 550 → (2)
from (1) y = 20 - x → (3)
substitute y = 20 - x in (2)
30x + 25(20 - x) = 550
30x + 500 - 25x = 550
5x + 500 = 550 ( subtract 500 from both sides )
5x = 50 ( divide both sides by 5 )
x = [tex]\frac{50}{5}[/tex] = 10
substitute x = 10 in (3) : y = 20 - 10 = 10
thus x = 10, y = 10 is the solution
Two triangles are similar. The dimensions of the first are 7, 8, and 10, while the dimensions of the second one are 3.5, 4, and 5. The scale factor used to get from the first triangle to the second one is ________. WILL MARK BRAINLIEST
The scale factor would be 0.5 or 1/2
20 PTS!!!
For what value of x will the line passing through the following pairs of points be vertical? F(3−2x, 12) and G(x+9, 7)
Answer: x = -2
Step-by-step explanation:
vertical line means it will be x = ___
Set the x-values equal to each other and solve for x.
3 - 2x = x + 9
+2x +2x
3 = 3x + 9
-9 -9
-6 =3x
[tex]\frac{-6}{3} = \frac{3x}{3}[/tex]
-2 = x
The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2
For two points (X₁, Y₁) and (X₂, Y₂) to form a vertical line, the x-coordinates must be equal
The given points are F(3-2x, 12) and G(x+9, 7)
X₁ = 3 - 2x
X₂ = x + 9
For the points to form a vertical line:
X₁ = X₂
3 - 2x = x + 9
Collect like terms
x + 2x = 3 - 9
3x = -6
Divide both sides by 3
3x / 3 = -6/3
x = -2
The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2
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Brian and Chris went together to Target to find party favors for a birthday party they are throwing together. Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Brian's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Let us assume Brian's one item cost = $ x.
Chris one item cost is $2.50 more than Brian’s items each cost.
Therefore, Chris one item cost is = $(x+2.50).
Total cost of Brian's 4 items = 4*x = 4x.
Total cost of Chris's 3 itmes = 3*(x+2.50) =3(x+2.50)
It is said that Brian and Chris both paid the same amount of money.
Therefore,
Total cost of Brian's 4 items = Total cost of Chris's 3 itmes.
a) We can setup an equation now,
4x = 3(x+2.50), where x represent the cost of one of Brian's items.b) Let us solve above equation for x.
4x = 3(x+2.50)
distributing 3 over (x+2.50), we get
4x = 3x + 7.50.
Subtracting 3x from both sides we get
4x-3x = 3x-3x =7.50.
x = 7.50.Therefore, the cost of one of Brian's items = $7.50.
Chris one item cost is $2.50 more than Brian’s items each cost.
Chris one item cost is = 7.50 +2.50 = $10.00.
c) Plugging x=7.50 in the equation we get to check the solution.
4x = 3(x+2.50)
4(7.50) = 3(7.50+2.50).
30 = 3(10.00)
30=30.
Therefore, solution x=7.50 is correct.
d) The cost of one of Brian's items is $7.50 and Chris's one item cost is $10.00.Answer:
Brians is $7.50 and chris is $10.00!
I'm sorry I don't have the math but I submitted the assignment and got a 100!
natasha is filling a swimming pool . the water rises 1/3 foot every hour. the pool is 4 feet deep how long will it take to fill the pool?
The water is rising at a rate of 1/3 foot per hour. That means it will take 3 hours to fill 1 foot. Now multiply 3 times 4, because it takes 3 hour for every foot. That equals 12. That means it will take Natasha 12 hours to fill the 4 foot pool. Hope that helps!
What property is 2(a plus b) equal to 2 times a plus 2 times b
It is the distribution property. That meas that 2(a + b) = 2a + 2b. to make sense of this plug in any tow numbers for a and b and solve. I will use a = 4, and b = 10. So that would plug into the statement like this; 2(4 + 10) = 2(4) + 2(10). 2(14) = 8 + 20. 28 = 28.
Answer:
The distributive porperty
Step-by-step explanation:
Kevin gave ben $4.90 in dimes and quarters.if 10 coins were quarters how many coins were dimes which equation models this problem
10x0.25=2.50-4.90=2.40/.010= 24
24 dimes
Answer:
D)0.25 • 10 + 0.1 • d = 4.90
Step-by-step explanation:
what is 25% of 1000?????
Hey there!
25% of 1,000
= 25% * 1,000
= 25/100 * 1,000/1
= 25 ÷ 5 / 100 ÷ 5 * 1,000/1
= 5 / 20 * 1,000/1
= 5 ÷ 5 / 20 ÷ 5 * 1,000/1
= 1 / 4 * 1,000 / 1
= 1/4 * 1,000/1
= 1(1,000) / 4(1)
= 1,000 / 4
= 1,000 ÷ 4
= 250
Therefore, your answer should be: 250
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
graph the solution x
Answer:
I think you need to put more info
Step-by-step explanation:
estimit of 309 times 29 im in school
We can round 29 up to 30, and 309 up to 310. This gives us a rough estimate of about 9,300.
slove for x.3(x-3)-4x greater than or equal to -3
[tex]3(x-3)-4x\geq-3\\\\3x-9-4x\geq-3\\\\-x\geq6\\\\x\leq-6[/tex]
Is 2/5 greater than or less than 35/100? Please help and FAST!
Answer:
greater
Step-by-step explanation:
bc 2/5 x 20 ( which makes the denominator 100) makes 2/5 —> 40/100.
Which of the following is the solution to the compound inequality below? 3x+4>13 or 2x-1<-11
Answer: Option D. x>=3 or x<=-5
Solution:
3x+4>=13 or 2x-1<=-11
3x+4-4>=13-4 or 2x-1+1<=-11+1
3x>=9 or 2x<=-10
3x/3>=9/3 or 2x/2<=-10/2
x>=3 or x<=-5
Answer:
D
Step-by-step explanation:
A P E X