Answer:
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Step-by-step explanation:
4x + y = 22
y = x - 3
4x + y + y = 22 + x - 3
4x + 2y = 19 + x
4x - x + 2y = 19 + x - x
3x + 2y ÷ 3 = 19 ÷ 3
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Answer:
a)Let's solve for x.
4x+y=22
Step 1: Add -y to both sides.
4x+y+−y=22+−y
4x=−y+22
Step 2: Divide both sides by 4.
4x
4
=
−y+22
4
x=
−1
4
y+
11
2
a)y=x−3
b)y=
−1
2
x+6
b)x=y-12
I need help with this question
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
PLZ HELP ITS URGENT
it is blurry so take it again
What is the measure of ZWX?
Step-by-step explanation:
180°+63°
=243°
holp it help
PLEASE HELP ME WITH THIS
In the system of equations , x represents .... ( please answer 12a and 12b )
Answer:
x = cost of each t-shirt
y = cost of each sweatshirt
Step-by-step explanation:
Given equation:
2x + 2y = 26 (1)
x + 3y = 33 (2)
From (2)
x = 33 - 3y
Substitute x = 33 - 3y into (1)
2x + 2y = 26 (1)
2(33 - 3y) + 2y = 26
66 - 6y + 2y = 26
- 6y + 2y = 26 - 66
-4y = -40
y = -40/-4
y = 10
Substitute y = 10 into (2)
x + 3y = 33 (2)
x + 3(10) = 33
x + 30 = 33
x = 33 - 30
x = 3
Where,
x = cost of each t-shirt = $3
y = cost of each sweatshirt = $10
A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?
Answer:
hsshshshwwbwbbs29oooo
Simplify using the distributive property: 5(2x + 7). Show all of your work.
Answer:
10x + 35
Step-by-step explanation:
Given
5(2x + 7) ← multiply each term in the parenthesis by 5
= 5(2x) + 5(7)
= 10x + 35
Answer:
10x+35
Step-by-step explanation:
5×2x=10x
5×7=35
=10x+35
Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?
Answer:
425000×0.0235=9987.5
379000×0.0235=8906.5
9987.5+8906.5=18894 that is the amount he gonna get
Translate the sentence into an equation. Twice the difference of a number and 6 is 2.
Answer:
let the number be x.
2(x-6)=2hope it helps
stay safe healthy and happy....Un deposito de agua tiene forma de un cubo de 10 metros de arista ¿cual es la capacidad del deposito?
Respuesta:
1000m³
Explicación paso a paso:
La capacidad del tanque viene dada por el volumen del cubo;
El volumen, V del cubo se da como: a³
V = a³
El borde del cubo mide 10 metros.
Por eso,
Volumen = 10³
Volumen = 10 * 10 * 10
Volumen = 1000 m³
Por lo tanto, la capacidad del tanque de agua es de 1000 m³.
the sum of the squares of two consecutive integers is 481. Find the integers
Answer:
{15, 16} or {-15, -16}
Step-by-step explanation:
Quick solution:
take half of the sum (approx. 240), sqrt(240)=15.5
So the numbers are 15 and 16. and also the negative equivalents since squares are always positive.
Exact method:
Let
x=smaller integer,
x+1 = next integer.
sum:
x²⁺(x+1)^2 = 481
2x^2 + 2x + 1 = 481
2x^2 + 2x - 480 = 0
x^2 + x -240 = 0
x = 15 or x = -16
so the integers are
either
{15, 16} or {-15, -16}
The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.
Assume 'x' is the number and the successive number is (x + 1).
The sum of the square of the consecutive number is 481. Then the equation of the number is given as,
x² + (x + 1)² = 481
Simplify the equation, then we have
x² + (x + 1)² = 481
x² + x² + 2x + 1 = 481
2x² + 2x - 480 = 0
x² + x - 240 = 0
x² + 16x - 15x - 240 = 0
x(x + 16) - 15(x + 16) = 0
(x + 16)(x - 15) = 0
x = 15, -16
Then the successive numbers are given as,
x + 1 = 15 + 1
x + 1 = 16
x + 1 = - 16 + 1
x + 1 = - 15
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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5.
Which of the quadratic functions has the narrowest graph?
A. [tex]y=-2x^2[/tex]
B. [tex]y=\frac{1}{2} x^2[/tex]
C. [tex]y=\frac{1}{7} x^2[/tex]
D. [tex]y=-4x^2[/tex]
Answer:
C. y= 1/7x2
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
please help find x!! asap
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?
Answer:
+9
Step-by-step explanation:
+9-9=0
find out the arc length of DG and the measure of angle DHG
Answer:
is it timed, because i need like 20 mins to answer this question.
Step-by-step explanation:
Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?
Answer:
she would be able to buy 40 lunches
Step-by-step explanation:
Subtract 100 from both sides of the inequality
Divide each term by −2 and simplify.
The solution to the inequality 100 – 2x < 20 is x > 40
How to find solution to an inequality?
She set aside $100 to buy school lunches for the year. Each school lunch cost $2.
Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.
100 – 2x < 20
The solution of the inequality is as follows;
100 – 2x < 20
subtract 100 from both sides
100 - 100 - 2x < 20 - 100
-2x < - 80
divide both sides by -2
x > 40
learn more on inequality here: https://brainly.com/question/11872626
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(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.
Answer:
Step-by-step explanation:
commission amount = 4 % of Rs 65000
=4/100 * 65000
=260000/100
=2600
therefore commision amount is Rs 2600
SP od an article = Rs 2700
profit %=8%
let CP be x
SP=CP + profit% of CP
2700=x + 8/100 *x
2700=100x + 8x/100
2700*100 = 108x
270000=108x
270000/108=x
2500=x
therefore cost price (CP) of an article is Rs 2500.
Find the missing side
Answer:
12.94811641 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 44 = x /18
18 cos 44 =x
12.94811641 =x
Answer:
12.9
Step-by-step explanation:
cos(44) = x/18
x = cos(44) * 18
x = 12.9
a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.
Answer:
m<ACB = 59degrees
Step-by-step explanation:
To get <ACB, first we need arcAB
arcAB + arcAC + arcBC = 360
arcAB + 89 + 153 = 360
arcAB+242 = 360
arcAB = 360 - 242
arcAB = 118
Also, m<ACB = 1/2arcAB
m<ACB = 1/2*118
m<ACB = 59degrees
can someone help please...
Answer:
C. 8
Step-by-step explanation:
You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:
4*2= 8
I. NEED. HELP! PLEASE!
Answer:
x = 2.5
Step-by-step explanation:
We know the adjacent and the opposite sides to the angle in a right triangle
tan theta = opp / adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2 / tan 26
x =2.46036461
Rounding to the nearest tenth
x = 2.5
tan tita = opp/adj
tan 26°=1.2/x
x=1.2/tan 26
x=2.46
x=2.5
PLEASE HELP ME!!! THANK YOU i really need it
The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?
give exact answer in simplest form
explaining your answer = brainliest/ five stars
Answer:
10 1/5 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2 = pi *6^2 = 36 pi
Then find the fraction of the circle that is shaded
A circle is 360 degrees
102/360 =17/60
Multiply the fraction by the area
17/60 * 36 pi
51/5 pi
10 1/5 pi
Answer:
32.04
Step-by-step explanation:
firstly area of a sector is angle/360 multiplied by pi *r squared
so in this case it is going to be 102/360 *pi *6^2
6 squared is 36 all multiplied by pi and 106/360
it is advisable that you enter them all at once in your calculator
the final answer will be32.0444507
which is rounded to 32.04
Please help
Honestly cant understand
Which side lengths form a right triangle?
Answer:
[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]
Step-by-step explanation:
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Verify:
[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]
please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?
Answer:
x² - 9x + 20
You are correct.
None of the listed choices are correct.
-----------------------------
I think the question originally had 5 and -4 as the solutions
https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf
x = {-4, 5}
(x + 4)(x - 5) = 0
x² - 5x + 4x - 20 = 0
x² - x - 20 = 0 Answer E
Step-by-step explanation:
x = {4, 5}
y = (x - 4)(x - 5)
y = x² - 5x - 4x + 20
y = x² - 9x + 20
Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!
Answer:
x+5y >5 => red
y< 2x+4 => blue
Step-by-step explanation:
you can substitute x and y in each inequality to determine
need help with thisss
9514 1404 393
Answer:
cos(x) = 0.6
Step-by-step explanation:
First, we need to find UQ.
UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)
UQ = 24 cm
Then TQ is ...
TQ = 1/3UQ = 1/3(24 cm) = 8 cm
And cos(x°) is ...
cos(x°) = √(1 -sin²(x)) = √(1 -64/100)
cos(x°) = 6/10 = 3/5
cos(x°) = 3/5 = 0.6
Please help. Thank you. (30 points included) (Shown work)
Answer:
True
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°