Solve the following system algebraically. Show all of your work. (5 points)
y = x + 3
3x + y = 19
Answers
Answer:x=4 and y=7
Step-by-step explanation:
Related Questions
Ara is lining the bottom and lateral faces of a drawer with liner paper. The dimensions of the inside of the drawer are 1 yard, 29 inches, and 9 inches. What is the total area in square inches being covered? The total area being covered is square inches.
Answers
Answer:
The total area being covered is 3,528 square inches
Step-by-step explanation:
Mathematically, we can deduce the shape of the drawer using the dimensions.
With the dimensions given, we can infer that the drawer is shaped like a match box which thus is in the shape of a cuboid.
We can then proceed to find the area of the cuboid.
Mathematically, the area of a cuboid can be calculated as;
2(lb + lh + bh)
Kindly note we need to have a uniform unit before we proceed to calculate the area.
Mathematically, 1 yard is 36 inches
So the sides of the drawer measures 36 inches by 29 inches by 9 inches
Thus, the area is thus;
2( 29(9) + 36(29) + 9(36))
= 2(261 + 1044 + 324)
= 2(1629)
So the area of the drawer is 3,528 square inches
write an expression that is equivalent to 25x^2 -20x + 4
Answers
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan...
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answers
Answer:
c)4:9
Step-by-step explanation:
Which of these equations represents a line that has an undefined slope and is
perpendicular to the line represented by y = 5?
A x = 5
B y = 0
C y = −5
D No such line exists.
Answers
Step-by-step explanation:
D. no such line exits
you have to know the gradient of the line given and there is no gradient given
Complete the recursive formula of the arithmetic sequence –3,-1,1,3,....
Answers
Answer:
b(1)=-3
b(n)=b(n−1)+2
Step-by-step explanation:
Given the sequence −3,−1,1,3,...
We can infer that the first number of the sequence is -3, and the difference is +2
b(1)=first number of the sequence
b(n)=b(n−1) diffrence
If we fill this in, we get:
b(1)=-3
b(n)=b(n−1)+2
PLEASE HELP!!
Choose yes or No to tell whether the expressions are equivalent.
(4^3)^3 and 4^3 • 4^3
(3^4)^4 and 3^8 • 3^8
6^4 • 3^4 and 18^8
4^3 • 5^3 and 20^ 3
Answers
Answer:
no
yes
no
yes
Step-by-step explanation:
Which point on the coordinate plane is closest to ______ ?
Answers
Answer:
its point D hope this helps :)
I hope this helps!!
what's 4 divided by 5 as a fraction
Answers
Answer:
four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths
This scatterplot and regression line below show the relationship between the average rent for a 1-bedroom apartment in New York and the number of years after the year 2000. The fitted line has a y-intercept of 800. What is the best interpretation of this y-intercept?
Answers
Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Step-by-step explanation:
In this case, x represents the number of years after the year 2000.
Then we can think that x = 0, represents the year 2000 itself.
Now, remember that the y-intercept is the value of y when we have x = 0.
Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?
Answers
The sum of squares is:
(x)² + (x+1)² = 221
Expand second term:
x² + x² + 2x + 1 = 221
Combine like terms:
2x² + 2x + 1 = 221
Subtract 221 from both sides to make quadratic form:
2x² + 2x - 220 = 0
Divide both sides by 2:
x² + x - 110 = 0
Factor:
(x + 11)(x - 10) = 0
x = -11 or x = 10
Answers: 10 and 11 or -10 and -11
If angle P measures 60 degrees, what is the measure of angle C?
A)120
B)30
C)60
Answers
Answer:
Answer is 120
Step-by-step explanation:
Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months
Answers
Answer:
5 months
Step-by-step explanation:
Cindy deposited $350 into a savings account
The acct balance remains above $200
We are required to find the number of months that it will take to $30 a month
Let y represent the number of months
y × 30 < 350-200
30y < 150
Divide both sides by the coefficient of y which is 30
30y/30 < 150/30
y < 5
Hence the number of months required is 5 months
How is quadrilateral ABCD related to quadrilateral A'B'C'D' shown below?
Answers
Answer:
i think its a
Step-by-step explanation:
What is the slope of the given lines ?
Answers
Answer:
slope = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 8) and (x₂, y₂ ) = (7, 8) ← 2 points on the green line
m = [tex]\frac{8+8}{7+5}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
Repeat with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, - 2) ← 2 points on the blue line
m = [tex]\frac{-2+6}{3-0}[/tex] = [tex]\frac{4}{3}[/tex]
Since the slopes of both lines are equal, then the lines are parallel
Mt. Young bought some hamburgers for his cookout. The price was $32,17, but, le found that hamburger parties were on special for $22.692. What was hubs DOcent Bio
A $3.20
B. 29.68%
OC45%
D. $87.25
Answers
A is too little
C is too much off
D is way too much
So B is your answer
Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139.
How many hours did she spend babysitting?
How many hours did she spend giving music lessons?
Answers
If Courtney paid a total of $27.93 to download songs, which includes $2.06 for tax, how many songs did she download at a cost of $1.99 per song?
Answers
Answer:
13 songs.
Step-by-step explanation:
$27.93 - $2.06 = $25.87 in order to get the price of the songs before the tax.
Since each song cost $1.99, $25.87 divided by $1.99 is equal to 13
Answer:
13 songs
Step-by-step explanation:
The total cost of the songs is $27.93, including the tax. The tax cost should be removed from the total cost to find how many songs Courtney downloaded because she didn't pay $2.06 for the songs.
[tex]27.93 - 2.06 = 25.87[/tex]
The cost of all the songs is $25.87. Each one costs $1.99 so, to find how many songs she bought, the cost of each song should be divided from the total cost.
[tex]25.87 \div 1.99 = 13[/tex]
*30 POINTS!*
Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.
The options are:
1. y= 2x-1
2. x-2y =2
3. y= 1/2x - 1
4. y+3 = 1/2 (x+4)
5. y-2= 1/2 (x-2)
Answers
Answer:
2, 3 and 4 represent the graph in the pic
Step-by-step explanation:
When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1
Hence the graph in the picture follows the formula: y = 1/2x - 1
When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.
1. y= 2x-1: Isn't the same as the equation of the line in the pic
2. Rearrange:
-2y = -x + 2 (divide both sides by 2)
y = x/2 - 1 (x/2 = 1/2x, its the same thing)
3. y= 1/2x - 1 (this is the formula of the line)
4. Expand right-hand-side:
y + 3 = 1/2x + 2 (rearrange)
y = 1/2x - 1 (this is the formula of the line)
5. Expand right-hand-side
y - 2 = 1/2x - 1 (rearrange)
y = 1/2x + 1 (is not the formula of the equation)
Answer:
The officeStep-by-step explanation:
“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answers
Answer:
9 rubberbands
Step-by-step explanation:
If it helps. Think of 1/4 as dividing by 4 and then multiplying by 1.
36/4 = 9 x 1 = 9.
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answers
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
PLEASE HELP
On graduating from college, you recieve $3,000 in gifts from family and friends. You want to invest it for later use as $15,000 down payment on a house. You have found an opportunity that locks in a 10% annual interest rate. How many years will it take to turn your graduation gifts into a down payment?
Answers
Answer:
6,346
Step-by-step explanation:
add add multiply and add
Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?
Answers
Step-by-step explanation:
Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:
[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]
Por lo tanto, la primera caja contiene 56 cajas más pequeñas.
Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:
[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]
Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.
Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:
[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]
Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.
La cantidad que quede en la casilla original se expresará como
= 448- (56 + 168 + 224)
= 448-448
= 0
Por lo tanto, no quedó ninguno en la caja original.
please help :(( (will mark brainliest!!!!)
Answers
Answer:
(-8,0) (0,-4) (4,-6)
Step-by-step explanation:
Find the measure of angle b
Answers
Answer:
130°
Step-by-step explanation:
a straight line is 180°
so you have
180°-50°= 130°
b and 50 are supplementary angles (they add up to 180), so create an equation by adding them up to equal 180:
b + 50 = 180
we want the x by itself, so subtract both sides by 50 to get:
b = 130°
A plane takes off and climbs steadily for 15 minutes until it
reaches 30,000 feet. It travels at that altitude for 2 hours until
it begins to descend to land, which it takes 15 minutes at a
constant rate.
Answers
Step-by-step explanation:
Mark each mark by 15 mins add an extra tick at the time section
the corner before the first 15 min mark make a tilted line to 15 mins and 30,000 feet draw a straight line till 2 hours and 15 mins draw titled down to 2 hours and 30 mins
The cost of parking a car in an hourly lot can be represented by the following equation y = 3x + 2 What does the 3 tell you about the cost of parking?
A) The hourly rate is $3
B) You can only park for 3 hours
C) There is a $3 fee to park
D) it costs 5 dollars to park all day
Answers
Answer:
A
Step-by-step explanation:
The three represents the amount it costs for each hour parked, and is continuous, which is a rate.
Simplify the algebraic expression 5x+3+7x+4
Answers
Next add 3+4=7
So it’s 12x+7
Answer:
12x +7
Step-by-step explanation:
First determine what numbers are coefficients. Because 3 and 4 don't have a variable in them, we know they are coefficients. You can then add them together to get 7. After that, we see that 5x and 7x both share the variable x. Because they share the same variable you can add them together to get 12x. Because 12x and 7 don't have the same variable you cannot add them together. This means that 12x + 7 is your final answer.
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn that took him 1.5 hours to mow.
Which equation models the amount in dollars, d, Troy charges when it takes him h hours to mow a lawn?
A) d = 20h
B) h = 20d
C) d = 45h
D) h = 45d
Answers
First, let's find the amount of money Troy charges per hour.
$30 / 1.5hrs = $20 / hr
d = $20h
A is the correct answer choice.
PLEASE HELP!! WILL MARK BRAINLIEST!!
Answers
Answer:
<QPR=88
Step-by-step explanation:
the third one is the correct answer
Ari divides by 6 and gets a quotient of 9.3. What is the dividend in Ari's division problem? *
Answers
Answer:
I believe the answer is 1.55
Step-by-step explanation:
Answer:
55.8
Step-by-step explanation:
to find the quotient you must multiple the divisor and quotient
6*9.3=55.8