let
x = the cost of the cabinet
y = the cost of a chair
z = the cost of a table
A cabinet, 4 chairs and 2 tables cost $825
x + 4y + 2z = 825
The cabinet costs 3 times as much as a chair
x = 3y
The table costs $120 more than a chair
z = 120 + y
by solving the system of equations
x + 4y + 2z = 825
x = 3y
z = 120 + y
we find
x = $195
Rewrite the expression using the Distributive Property. Explain your answer or show your work.
6(x−4)
Answer:
6x - 24.
Step-by-step explanation:
Distributive Property is:
a(b + c)
= ab + ac
So for this expression
6(x - 4)
= 6*x + 6 * -4
= 6x - 24.
What is the remainder when
12345×54321 is divided by 9?
Answer:
0
Step-by-step explanation:
there isn't a reminder, you get 670592745
The value of the equation is A = 7,45,10,305 and the remainder is 0
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be p = 12345
Let the second number be q = 54321
Now , A = ( p x q ) / 9
Substituting the values in the equation , we get
A = ( 12345 x 54321 ) / 9
On simplifying the equation , we get
A = 67,05,92,745 / 9
On further simplification , we get
A = 7,45,10,305
And , the remainder of the equation is 0
Therefore , the value of A is 7,45,10,305
Hence , the equation is A = 7,45,10,305 and the remainder is zero
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Sarah's family raises chickens. They buy 15 pounds of chicken feed per week. If the chickens eat all but 4 pounds, how many ounces of feed did they eat?
Answer:
144 ounces
Step-by-step explanation:
Plz mark as brainliest
emily paints at a constant rate. she can paint 32 square feet in 5 minutes. what area,A, in square feet, can she paint in t minutes? a. write the linear equation in two variables that represents the number of square feet Emily can paint any given time interval.
Answer: A(t) = (6.4 ft^2/min)*t
Step-by-step explanation:
We know that Emily paints at a constant rate, and she can paint 32 ft^2 in 5 minutes.
Then if we take the quotient of these two quantities, we will find the amount she can paint in one minute, this is:
32ft^2/5min = (32/5) ft^2/min = 6.4 ft^2/min.
Then if she paints for t minutes, the area that she can cover can be written as:
A(t) = (6.4 ft^2/min)*t
This is the linear equation we wanted to find.
The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.
Technician Shutdowns
Taylor 2
Hurley 1
Gupta 3
Rousche 5
Huang 4
A. How many samples, without replacement, of size two are possible?
B. Compute the mean of the sample means and compare it to the population mean.
C. The mean of the sample means is_____.
D. The population mean is_____.
E. Both means are:_____.
a. not equal
b. equal.
Answer:
it is a
Step-by-step explanation:
i dont realy like its hard for me to explain
Divide. Reduce the answer to lowest terms. 2/7 • 15/7
help fast plz with that
x + 11 < 6
Solve and graph on a number line
Answer & Step-by-step explanation:
So I can't exactly graph exactly, but I'll try...
To solve:
x+11<6 Subtract 11 on both sides.
x<-5
To graph:
<-------|---------o---------|-------->
-6 -5 -4
(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)
Hope this helps! Have an awesome day ( • ω • )^
Write an equation for the description.
A number x increased by 17 is 112.
Answer:
x+17 = 112
Step-by-step explanation:
Vocabulary:
Increased = Addition
Is = Equal Sign
x+17 = 112
62.837 expanded form decimal
Answer:
60+2+0.8+0.03+0.007
Step-by-step explanation:
A car that has a wheel radius of 1.5 feet travels 30 miles in 45 minutes. How fast are the wheels spinning? Give your answer in revolutions per minute.
Answer:
373.43 rev/min
Step-by-step explanation:
Given data
r= 1.5ft
v=30 miles per 45 minutes
convert miles per hour to ft per minute
=30miles/45 minutes* 5280ft/1 mile
=158400/45 minutes
v=3520 feet per minute
so
v=wr
substitute
3520= w*1.5
w= 3520/1.5
w=2346.66 rad/min
Convert to rev/min
=2346.66 rad/min*1rev/2*π rad
=2346.66/2*3.142
=2346.66/6.284
=373.43 rev/min
Hence the answer is 373.43 rev/min
Sarah interviewed for a job that promised her a starting salary of $37,000
with a $1550 raise at the end of each year. What will her salary be during
her sixth year if she accepts the job
A government agency hires you to provide consulting on new rules regarding vehicle license plates. The agency is considering an all-numbers license plate that has six slots (digits 0-9 with no duplicate digits allowed). How many possible license plates are there
Answer:
There are 151,200 possible license plates.
Step-by-step explanation:
The order in which the digits are positioned is important(for example, 012345 is a different plate than 102345). No repeat digits are allowed, which means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
There are 10 possible digits(from 0 to 9).
The plate has 6 slots.
So
[tex]P_{(10,6)} = \frac{10!}{(10-6)!} = 151200[/tex]
There are 151,200 possible license plates.
Taylor charges $15 for the first hour of dog walking and $10 for each additional
hour or fraction of an hour. The rates that Lucy charges for x hours of dog walking
are modeled with the function shown.
f(x) =
{
20x, 0
10x. 2
5x, x >4
Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?
Who?:
How much more?:
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours of dog walking. Taylor charges $15 for the first hour and $10 for each additional hour. Therefore:
Let g(x) represent how much Taylor charges. Hence:
g(x) = 15 for 0 ≤ x ≤ 1
g(x) = 15 + 10(x - 1) = 15 + 10x - 10 = 10x + 5 for x > 1
g(x) can be represented by the piecewise function:
[tex]g(x)=\left \{ {{15\ \ \ \ \ \ for\ 0\leq x\leq 1} \atop {10x+5\ \ for\ x>1}} \right.[/tex]
Lucy charges f(x) is modeled by the piecewise function:
[tex]f(x)=\left \{ {{20x\ \ \ \ \ \ for\ 0\leq x\leq 2} \atop {10x\ \ \ for\ 0< x< 4}} \right.[/tex]
Therefore the charge for walking a dog for 2.5 hours by either Taylor or Lucy is:
For Taylor; f(2.5) = 10(2.5) + 5 = $30
For Lucy; g(2.5) = 10(2.5) = $25
Therefore Taylor charges more by walking a dog for 2.5 hours. Taylors charge is $5 more than Lucy charge ($30 - $25).
Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=
Answer:
7
Step-by-step explanation:
Answer:
WX = 5
Step-by-step explanation:
2x + 3 = x + 4
x = 1
WX = 2(1) + 3 = 5
On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
275
Step-by-step explanation:
412kg - 123kg - 14kg = 275kg left
Because he used 275 kg out of 412kg
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. What is the current population of this town?
Answer:
25,200
Step-by-step explanation:
Increase in population per year =8%=((100+8)*10,000)/100=10,800. So,there will be an increment of 800 people to the population every year. =>after twenty years,the total population=10,000+19*(800)=25,200.
Answer:
10800
Step-by-step explanation:
10000+8%=10800
hope this helps:)
Which of these must be true
the number of candy bars most people can eat in one sitting has an order of magnitude of 3 true or false?
7x
5x+18
Find the size of the smallest angle
Answer
Not sure is there supposed to be a pic?
Step-by-step explanation:
At the Boxer carnival, you can exchange 56 tickets for various assortments of
prizes. Some of those assortments are below. How many tickets does it take
to get a single goldfish?
1 goldfish, 6 tacky mirrors, 2 stuffed tiger
3 goldfish, 2 stuffed tiger
4 goldfish, 2 tacky mirrors
Answer:
Step-by-step explanation:
12 tickets
Select all the expressions that are rational numbers.
A. 3.14159...
B. -9.1234567123...
C. -9.293847210103938...
D. 22/7
E. -26
-2(3-x)=10
-What is x
-Show how you solved it
Answer:
2x3-x=10
6-x=10
x=10+6
.
. .x=16
* Use order of operations to solve the following.
* Use order of operations to solve the following.
3 + 5 2 × 2 −7
Answer:
5
3+5 2×2 -7
8+4-7
12-7
5
^^^^
Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,-1), R(-3,6), S(1,5), and T(2,-2) HELP PLS
Answer:
(-0.5, 2)Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
Intersection point is the midpoint of either diagonal.
Let's take QS and calculate midpoint using midpoint formula:
Q(-2, -1), S(1, 5)x = (x1 + x2)/2 = (-2 + 1)/2 = -1/2 = -0.5y = (y1 + y2)/2 = (-1 + 5)/2 = 4/2 = 2Point (-0.5, 2) is the answer
HELP NOW PLEASE ASAP
I need help with this question geometry
Answer:
sorry
Step-by-step explanation:
Answer:
y=15
∠P=113
∠Q=67
∠R=113
∠S=67
Step-by-step explanation:
10y-37+4y+7=180
14y=210
y=15
∠P=10(15)-37=113
∠Q=180-113=67
9. When Diego's phone is fully charged, it will last 18 hours. How much time 1 point
is left on his phone when the battery has 15% charge remaining? *
Answer:
2.7 hours
Step-by-step explanation:
Assuming that each percentage is worth the same amount of time. Then we can use the Rule of three since this is a ratio problem and we are given three values and a variable which is the amount of time that the battery lasts at 15%. This variable is represented by the letter x. To solve this we simply multiply the diagonal values and divide by the last remaining value which gives us the value of the variable like so...
100% <====> 18 hours
15% <====> x hours
(15 * 18) / 100 = 2.7 hours
Finally, we can see that 15% charge on the phone will last 2.7 hours
(-Z - 8) - (62-5)
Help me please thank
Answer: -z-65
Step-by-step explanation:
Which expression has the same value as the one below?
33 + (-10)
O Α. 43
Ο Β. 33
Ο C. 33 - 10
O D. 33 + 10