Answer:
Step-by-step explanation:
Total dimensions = (12+2x) inches by (8+2x) inches
A = (12+2x)(8+2x) = 4x² + 40x + 96
Apply the Distributive Property to Simplify the Expression
3(36)
Answer:
108
Step-by-step explanation:
Staples sells boxes of pens for ($10) and rubber bands for ($24). Leona ordered a total of 24 cartons for $210. How many boxes of each did Leona order? Hint: Let P = Pens.
Answer:
Leona ordered 19 boxes of pens and 5 rubber bands
Step-by-step explanation:
Let there are p pen and b rubber bands.
ATQ,
p+b = 24 ...(1)
and
10p+4b = 210 ...(2)
Multiply equation (1) by 10.
10p+10b = 240 ...(3)
Subtract equation (2) from (3).
10p+10b-(10p+4b ) = 240-210
6b = 30
b = 5
Put the value of b in equation (1).
p+5 = 24
p = 19
Hence, Leona ordered 19 boxes of pens and 5 rubber bands.
simplify (2x^2-32)/x^2+10+24
Answer:
Step-by-step explanation:
(2x^2-32)/(x^2 + 10x + 24) is less subject to misinterpretation. Write these factors in a vertical column:
(2x^2-32)
------------------------- and then factor numerator and denominator separately:
(x^2 + 10x + 24)
2(x^2 - 16) 2(x - 4)(x + 4) 2(x - 4)
--------------------- = --------------------- = ---------------- Note: This is good ONLY
(x + 4)(x + 6) (x + 4)(x + 6) x + 6 for x ≠ -4! Division by
is not defined.
[tex]{ \dashrightarrow{ \sf { \red{ \frac{2 {x}^{2} - 32}{ {x}^{2} + 10x + 24}}} } } \\ \\ \\ { \dashrightarrow{ \sf{ \red{ \frac{2( {x}^{2} - 16)}{ {x}^{2} +(6x+4x) +24}}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4)}{ {x}^{2} + 6x + 4x +24}}}}} [/tex]
[tex]{ \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4}{ x(x+6)+4(x+6)}}}}} \\ \\ \\
{ \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4)}{(x+6)(x+4)}}}}} \\ \\ \\
{ \dashrightarrow{ \sf{ \red{ \frac{2(x - 4)}{ (x-6)}}}}} [/tex]
Rachel has been offered full-time sales positions at two different furniture stores. The first store will pay her a weekly salary of $250 plus a commission of 12% of her sales. The second store will pay her a weekly salary of $475 plus an 8% commission. If x represents Rachel’s weekly sales (in dollars) and y represents her total earnings (in dollars), which system of equations describes the problem situation?
A.
{
y
=
0
.
12
x
y
=
0
.
8
x
B.
{
y
=
250
+
12
x
y
=
475
+
8
x
C.
{
y
=
250
x
+
12
y
=
475
x
+
8
D.
{
y
=
250
+
0
.
12
x
y
=
475
+
0
.
08
x
Answer:
Number A.
Step-by-step explanation:
i just did this one lol
The system of equations that describes the problem situation is y=250+0.12x and y=475+0.08x. The correct option is D.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that The first store will pay her a weekly salary of $250 plus a commission of 12% of her sales. Therefore, the equation can be written as,
Total earning = Weekly salary + 12% of weekly sales
y = 250 + 0.12x
Also, The second store will pay her a weekly salary of $475 plus an 8% commission. Therefore, the equation can be written as,
Total earning = Weekly salary + 8% of weekly sales
y = 475 + 0.08x
Hence, the system of equations that describes the problem situation is y=250+0.12x and y=475+0.08x.
Learn more about Percentages here:
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Please solve all these ASAP:))))))))
Step-by-step explanation:
An airplane flies 315 km in 1 hour 45 minutes. Calculate the average speed.
Answer:
3 km per minute
Step-by-step explanation:
speed = distance / time
315km/105 minutes
= 3 km per minute
To prepare for a party, Jada poured 0.45 liter of juice into each of several cups. Altogether she poured 9 liters of juice into the cups.
Answer: 20 cups
Step-by-step explanation:
Question would like to know the number of cups that Jada poured juice into.
If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:
= Total juice poured / Quantity per cup
= 9 litres/ 0.45 litres per cup
= 20 cups
50 POINTSS!! please i really need help!!
Answer:
a. Mrs. Golden added the most money from her account.
b. Miss Ternary had the least change
c. Mrs. Golden's account was 760 higher than Ms. Schmitt's.
Step-by-step explanation:
:)
Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work:
Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)
Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)
Answer:
See below.
Step-by-step explanation:
Part A:
For Dog walking, he earns $30 for 5 hours of work.
He earns $36 for 6 hours of work.
$30/5 hours = $6/hour
$36/6 hours = $6/hour
He earns $6/hour dog walking.
For 8 hours, he earns 8 hours * $6/hour = $48
To earn $66, he works 66/6 = 11 hours.
5 30
6 36
8 48
11 66
Part B:
He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.
Table for yard work
Hours Money
5 $35
6 $42
8 $56
Part C:
For 5 hours, he earns $35 for yard work and $30 as a dog walker.
$35 - $30 = $5
On a coordinate plane, the orange K is shifted to form the purple K, reflected across the x-axis to form the green k, and rotated to form the black k. Which image is a reflection of the orange letter K in Quadrant I?
Answer:
the green kin quadrant IV
Step-by-step explanation:
i took the quiz and got it right
Point k is reflected across the y-axis to create point k'.
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.
The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.
From the graph, we can see that point k has a negative x-coordinate, so option A is wrong. Also, point K is located in quadrant II, not in quadrant IV
Point K is not reflected across the x-axis to create K'. For reflection across the x-axis to occur, the point (x,y) across the x-axis will change to (x, -y).
Point K is reflected across the y-axis to create point K'. We can see from the graph that the reflection of the point (x,y) across the y-axis is the point (-x, y)
To know more about reflection follow
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A Fahrenheit thermometer shows that the temperature is 22 degrees below zero.
Find all real solutions and show work:
2x^3-3x^2+18x-27=0
Given:
The given equation is
[tex]2x^3-3x^2+18x-27=0[/tex]
To find:
All the real solutions.
Solution:
We have,
[tex]2x^3-3x^2+18x-27=0[/tex]
It can be written as
[tex]x^2(2x-3)+9(2x-3)=0[/tex]
[tex](2x-3)(x^2+9)=0[/tex]
Using zero product property, we get
[tex](2x-3)=0[/tex] and [tex](x^2+9)=0[/tex]
[tex]2x=3[/tex] and [tex]x^2=-9[/tex]
[tex]x=\dfrac{3}{2}[/tex] and [tex]x=\pm\sqrt{-9}[/tex]
We know that [tex]x=\pm\sqrt{-9}[/tex] is an imaginary number because there is a negative sign under the square root.
Therefore, [tex]x=\dfrac{3}{2}[/tex] is the only real solution of the given equation.
how many solutions does the system of equations have explain 2.5(x+4)=4.1x+16-1.6x
Does this table represent a function? Why or why not?
Answer:
NO. B is the answer
Step-by-step explanation:
because there are two of the same x values, causing there to not form a straight line.
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
An rising star starts out with a Twitter following 1200 and her follows increase
Answer:
How we solve the question and is that the complete question?
Step-by-step explanation:
please help me i dont really understand these questions im giving out brainliest
Answer:
x = 63.5 degrees
Step-by-step explanation:
use sine:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
sine x = [tex]\frac{17}{19}[/tex]
sine x = 0.8947
sine-1 of 0.8947 = 63.4699
x = 63.4699
round to the nearest tenth:
x = 63.5
The distance from Earth to Pluto is about 5,750,000,000 km. How many light-years is this?
Answer:
The average distance between Earth and Pluto is same as average distance of Pluto from the Sun. This is 0.000628 light years, nearly.
Explanation:
The average distance obetween two planets is nearly the average distance of the outer planet from the Sun. Earth is inner to Pluto. Average Sun-Pluto distance = 5906.4 million km. Divide by 149597870 to get distance in Au. Further divide by 62900 to get distance in ly.
I = $75, P = $500, t = 15 months i need help :((
Answer:
Use the simple interest formula
Solve simple interest applications
Be prepared!
Before you get started, take this readiness quiz.
Solve 0.6y = 45. If you missed this problem, review Example 5.7.4.
Solve 1.45 = 4.6. If you missed this problem, review Example 5.7.5.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If the function f is given by f(x)=2x2−4, then which of the following represents the value of c such that f(c)=28?
Select one:
A. 0
B. 2
C. 4
D. 8
I will give brainlits and start pls help
Graph the equation y = 3x - 3 using slope and y-intercept.
6
5
y
4
3
N
1
0
-1
-2
الفا
4
-5
-6
-5
-2
-4
-1
0 1
-3
2
5
2
6
3
á
?
y = 3x - 3
Step-by-step explanation:
(0,-3) and (1,0) this are the point
Vhat is the mean absolute deviation of this data set? {2, 2, 4,4}
Cecilia is saving money to buy a bicycle. She started with $75 and saves $10 each week from her allowance. Which equation represents how much money, y, Cecilia has at the end of x weeks? O A. y = 75x + 10 o B. y = 10x + 75 O C. x = 75y + 10 O D. X = 10y + 75
Answer:
y = 10x + 75 If not then
X = 10y + 75
an airplane decends 1.6 miles to an elavation of 5.95 miles. Find the elavation of the plane before its descent. the initial elavation of the plane was how many miles?
Answer:
X-1.6=5.95
X=7.55+1.5
X=9.05
The initial elevation of the plane is 9.05 miles
Hope it helps!
the sum of twice c and 10
Answer:
2c+10
Step-by-step explanation:
PLEASE HELP. IF U GET THIS RIGHT I WILL MARK U BRAINLIEST!!! THANK U GUYS
Answer:
2
Step-by-step explanation:
The slope is the rise over the run. 2 simple coordinates I can see is (6,2) and (7,4). I usually like to visualize it instead of actually solving it mathematically. So, we can start at (6,2). The point (6,2) goes up 2 and 1 to the right in order to get (7,4.) So since the slope is rise over run ( y/x) it would be 2/1 because we went 2 up the y axis and 1 to the right of the x axis. So 2/1 is 2. Therefore, 2 is the answer. I'm sorry if my explaining isn't the best... I hope this helps though!!
Please help asap please..ill give Brainliest
Answer:
There are no solutions
Step-by-step explanation:
Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations
Yasmin arived home from play practice began 20 minutes after the final bell and lasted for a half hour. When did school end.
Answer:
the school ended at 3:20pm
Step-by-step explanation:
Since Yasmin arrived home from play practice at 4:25 p.m.
The walk home took 15 minutes.
And, The practice starts 20 minutes after the final bell and lasted for a half hour.
Now Total time taken in all activities would be
= 15 + 20 + 30
= 65 minutes
Now deduct 1 hour and 5 minutes from 4:25 pm
i.e.
1 hour prior to 4:25 pm i.e. 3:25 pm
And, 5 minutes prior 3:25 pm i.e. 3:20 pm
So, the school ended at 3:20pm
good morning yall just wanted to tell yall i love you and i hope yall had a great week and have a good weekend:)
Answer:
so sweethope you have an amazing day as well
Answer:
Sorry Good Afternoon, I also Love you and wishing you a great day and weekend.Bye
a) write √3×√6 in the form of b√2 where b is the insteger
b) simplify √8×√18
Step-by-step explanation:
a.) the given term can be written as
=
[tex] \sqrt{3} \times \sqrt{3 \times 2} [/tex]
=
[tex] \sqrt{3 \times 3 \times 2} [/tex]
=
[tex]3 \sqrt{2} [/tex]
hence the given term is
[tex]3 \sqrt{2} [/tex]
where b = 3
b.)
=
[tex] \sqrt{8} \times \sqrt{18} [/tex]
=
[tex] \sqrt{2 \times 2 \times 2} \times \sqrt{2 \times 3 \times 3} [/tex]
=
[tex] \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3} [/tex]
=
[tex]12[/tex]
hence the given term is 12
Solve the following expression when
t = 6 and d = 8
t + d = 8 - 6
Answer:
Hi! Your answer is 14 = 2
Step-by-step explanation:
Evaluate