Answer: The first answer
A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?
Step-by-step explanation:
We want to see which problem can be represented with the equation:
100*x + 50 = 710.
The correct option is:
"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"
So, let's briefly analyze the equation.
We have the linear equation:
100*x + 50 = 710.
On the left side, we have 100 times the variable plus a constant of 50, and that must be equal to 710.
So, we start with 50, and if x counts the number of weeks, we add 100 per week.
And because that is equal to 710, we are counting the number of weeks that we need to add 100 to get to that number.
So the problem that meets these conditions is:
"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"
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List the first 4 terms of the sequence. f(1) = 7, f(n) = f(n-1)+4
Answer:
7, 11, 15, 19
Step-by-step explanation:
Using the recursive rule with f(1) = 7 , then
f(2) = f(1) + 4 = 7 + 4 = 11
f(3) = f(2) + 4 = 11 + 4 = 15
f(4) = f(3) + 4 = 15 + 4 = 19
The first 4 terms are 7, 11, 15, 19
-
A local pizzeria sells a small pizza
with one topping for $6 and a small
pizza with three toppings for $8. What
is the charge for a plain small pizza
and the charge for each topping?
Find the distance between the points (6,1)and (9,6).The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
d = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(9-6)^2+(6-1)^2}\\d= \sqrt{(3)^2+(5)^2}\\d= \sqrt{9+25}\\d= \sqrt{34}[/tex]
Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol?
Answer:
Yes
Step-by-step explanation:
I had this same question on a quiz and it is correct!
The square root of a number is equal to another number that when squared is equal to the original number.
Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.
To see that this is true:
For example, if the A and B are two numbers larger than 0, such that:
A > B
Then:
√A > √B
For example let's use A = 9 and B = 4.
9 > 4
And obviously the roots are:
√9 > √4
3 > 2
So yes, we can compare and order square roots by comparing the numbers inside of it.
If you want to learn more, you can read:
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Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each. Jane is 13 and Harvey is 39 Jane is 12 and Harvey is 48 Jane is 13 and Harvey is 48
Answer:
13, 39
Step-by-step explanation:
H +J =52
H=3J
3J +J=52
4J=52
J=52 :4 =13 (Jane is 13
H =3 ×13 =39 (Harvey is 36
A new computer game costs $32.50. Find the cost with tax if the tax is
7%. Round to the nearest cent. *
*
Answer:
$34.78
Step-by-step explanation:
...............
Can someone please solve this 4x+4(x-6)=3(2x+4)
Answer:
x = 18
Step-by-step explanation:
4x+4(x-6)=3(2x+4)
distribute
4x+4x-24=6x+12
combine like terms
8x-24=6x+12
carry across equal sign
2x-24=12
carry across equal sign
2x=36
divide
x=18
Answer:
X = 18
Step-by-step explanation:
4x + 4(x -6) = 3(2x + 4)
4x + 4x -24 = 6x + 12
8x -24 = 6x + 12
+24 +24
8x = 6x + 36
-6x -6x
2x = 36
Divide 2x and 36 by 2
X = 18
i need help with this answer
Answer:
Im not sure but lets play warzone
Step-by-step explanation:
A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does Erica have left to run?
Answer:
1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)
Step-by-step explanation:
Which of the following numbers would appear first if we were listing the numbers in descending order?
New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much greater is the population of Manhattan than New York City?
Given :
New York City has a population of 8.55 million and 300 square mile area .
Manhattan has 1.64 million and 23 square miles area .
To Find :
How much greater is the population density of Manhattan than New York City.
Solution :
Population density of New York City :
[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]
Now ,
[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]
Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .
Hence , this is the required solution .
please help asap
What is the factored form of this expression? 5p^3-10p^2+3p-6
Answer:
[tex](5p^2+3)(p-2)[/tex]
Step-by-step explanation:
In this problem, we need to write the factor form of expression [tex]5p^3-10p^2+3p-6[/tex].
It can be done as follows :
[tex]5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)[/tex]
Taking common form the terms as follows :
[tex]=p(5p^2+3)-2(5p^2+3)[/tex]
It can be also written as :
[tex]=(5p^2+3)(p-2)[/tex]
Hence, the factored form of [tex]5p^3-10p^2+3p-6[/tex] is [tex](5p^2+3)(p-2)[/tex]
Answer: (p-2)(5p^2+3)
Step-by-step explanation:
I GOT THIS RIGHT!
solve the system of equations 2x+y+z=1 2x-y-3z=-3 x-2y-4z=-2
Answer:
{x,y,z} = {2,-8,5}
i had this question before
What is the slope of the line that passes through the points:
(6,-4), (15,-4)
-8/21
0
-8/9
Undefined
Answer:
0
Step-by-step explanation:
m=[-4-(-4)]÷[15-6]=0
What is 17 1/3 x 8 and how much water will each group get
Answer:
The Answer to 17 1/3 x 8 is 138.67
There is not enough context to answer the second question.
In the figure at right, line l is a line of symmetry, m∠B=8x-4°, and m∠D=2x+14°. Use this information to write an equation and solve for x. Hint: Set ∠B = ∠D
Answer:x=3
Given: angle B = angle D
So, 8x-4=2x+14
8x-2x=14+4
6x=18
Therefore, x=3
HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!
W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Box, Supercuts, Jimmy Johns, Servpro, Denny's, Pizza Hut, 7-Eleven}, how many proper subsets does W contain?
Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given[tex]W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}[/tex]
Required
Determine the proper subsets
Proper Subset (P) is calculated using;
[tex]P = 2^n - 1[/tex]
Where
[tex]n = number\ of\ elements[/tex]
In this case;
[tex]n = 10[/tex]
So:
[tex]P = 2^n - 1[/tex]
[tex]P = 2^{10} - 1[/tex]
[tex]P = 1024 - 1[/tex]
[tex]P = 1023[/tex]
Hence;
Proper Subsets = 1023
Answer:
1024
Step-by-step explanation:
16.3 ÷ (−7.89)? It says im in highschool but im in middle school 7th grade!
Answer:
The answer is -2.066 rounded up from the thousandths
Step-by-step explanation:
It is a bit difficult to divide by such an exact value, but I hope this helps!
can someone please solve the question above.
Answer:
y = -7x + 11
Explanation:
Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.
can someone plz help me with this
Answer: Commutative Property of Multiplication/Addition
Step-by-step explanation:
The commutative property is simple
x + y = y + x
or for multiplication
x * y = y * x
4x plus 1 divided by 3 equals x minus 5 divided 2
After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
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It rained 0.84 inches on Saturday and 0.8 inches on Sunday. How much did it rain on Saturday and Sunday combined?
Answer:
1.64
Step-by-step explanation:
The first step to do is to line up the decimal points. We have to add a zero to 0.8 so that the decimal points will align (this does not change the value).
0.84
+0.80
Then bring down the decimal point into the answer column, and add like normal.
0.84
+0.80
1.64
Hope this helps!
Calculate the speed of a train traveled 400miles in 5 hours
Answer:
80 miles per an hour
Step-by-step explanation:
400 divided by 5 equals= 80 so 80miles = 1 hour
Answer:
80 miles per hour.
Step-by-step explanation:
Start with the speed formula.
[tex]speed=\frac{distance}{time}[/tex]
In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.
Substitute:
[tex]speed=\frac{400}{5}[/tex]
Divide.
[tex]400[/tex] ÷ [tex]5[/tex]
Solve:
[tex]400[/tex] ÷ [tex]5=80[/tex]
Solve for x: 2x−7=5x+8
HELPP. In words, write the meaning of: √a+3
Answer:
square root of a plus 3
Step-by-step explanation:
There are two options for buying crickets option A.7 pounds of crickets for 3.15 option B.3 pounds of crickets for 1.47 which option is better to buy justify your answer
Answer: 7
pounds for 3.15 is a better option
Step-by-step explanation:
Here in this question, we want to know which of the two options is a better option for buying crickets.
To know the better option, we shall be needing the unit price in whatever system to be used;
7 pounds of crickets for 3.15;
so the unit price here will be 3.15/7 = 0.45 per pound
For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound
As we can see, the first option commands a cheaper price per unit, so it is the better option to buy
HELP ME PLSEASE I NEED THIS <33
Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees
Point P is presently located at the origin. Move P, and observe how the rotated Images change. Be sure that neither the images nor the preimage overlap. Record the distances of the vertices of the prelmage ABC from P. Do the same for the other images. Round all of your answers to the hundredths place.
What can you conclude about your observations in question 4? What happened as you moved p, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all point that lie on a figure or shape?
Answer:
Plato sample answer:
Answer:
Step-by-step explanation: