Answer:
20/3
Step-by-step explanation:
By the property of equal intercepts made by transversals on parallel lines.
[tex] \frac{4x - 3}{x + 17} = \frac{1}{1} \\ \\ 4x - 3 = x + 17 \\ \\ 4x - x = 17 + 3 \\ \\ 3x = 20 \\ \\ x = \frac{20}{3} \\ \\ [/tex]
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
Explain how you know that a system of equations has no solution.
Answer:
Step-by-step explanation:
A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations
y = 2x + 4
y = 2x
If you subtract the second equation from the first, you get
0 = 4
an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.
Question Help
3.3 PS-14
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $750
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Me Help ASAP or when everrr
Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
help plz i’ll give extra points
Answer:
Plot a point at the y-intercept.
Step-by-step explanation:
You start by plotting the y-intercept because you'll already have the value when you substitute x as 0 in the expression.
y = 0.5(0) -4
y = -4
4(6-5x)^2+11=20
quadratic equations
Answer:
(x-114.5), (x-14.05)
Step-by-step explanation:
Answer attached
2(x-4) = 5 (x+24) rewrite the equation in slope-intercept form
Answer:
Since x=−128/3 is a vertical line, there is no y-intercept and the slope is undefined.
Step-by-step explanation:
Hope it helps :)
Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22
Answer:
8/12, 6/19 and 9/10!
Step-by-step explanation:
All of them cannot be simplified.
but the rest can like
4/26 can be simplified by 2
and 10.22 can be simplified by 2
anybody please help me
Answer:
E
Step-by-step explanation:
you would find the area of both squares, then add them together.
Which has a larger surface area a prism or a cylinder? Explain
Answer:
A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. ... A cylinder is a tube and is composed of two parallel congruent circles and a rectangle which base is the circumference of the circle.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?
Answer:
The employees will work for 1 hour, will earn $5 per hour and will be paid $5
Step-by-step explanation:
System of Equations
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00
can someone help me?
Answer:
No
Step-by-step explanation:
It appears the only way to talk to you is by answering your questions...so whatever.
Fan activity though? Really? Worst excuse ever. Ew.
Find the values of x and y
Can someone help?
Answer:
y=70
x=55
Step-by-step explanation:
In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:
[tex]60=y-10\\60=x+5[/tex]
[tex]60=y-10[/tex]
Add 10 to both sides
[tex]60+10=y-10+10\\70=y[/tex]
[tex]60=x+5[/tex]
Subtract both sides by 5
[tex]60-5=x+5-5\\55=x[/tex]
I hope this helps!
Answer:
x is 55° & y is 70°.
Step-by-step explanation:
This is an equilateral triangle.
In an equilateral triangle all sides are 60°
So,
1) x+5 = 60
x = 55°.
2) y-10 = 60
y = 70°.
Answer: x is 55° & y is 70°.
please help
thank u!
3. First Street School won 12 out of 30 awards in the team competition. What percent of the awards did the school win?
HELP PLSSS
Answer:
40%
Step-by-step explanation:
(12/30)x100
does anyone know how to do this by solving with substitution
Answer:
Step-by-step explanation:
Question 1
System of equations is,
y = -6x -------(1)
y = -4x - 2 ---------(2)
Substitute the value of y from equation (1) to equation (2)
-6x = -4x - 2
-6x + 4x = -2
-2x = -2
x = 1
From equation (1)
y = -6(1)
y = -6
Question (2)
System of equations is,
-y = x --------(1)
3x + 5y = 20 ---------(2)
Substitute the value of x from equation (1) to equation (2)
3(-y) + 5y = 20
-3y + 5y = 20
2y = 20
y = 10
From equation (1)
-y = x
x = -10
Question (3)
System of the equations is,
y = -2x - 7 --------(1)
9x - 10y = 12 ----------(2)
Substitute the value of y from equation (1) to equation (2)
9x - 10(-2x - 7) = 12
9x + 20x + 70 = 12
29x = 12 - 70
29x = -58
x = -2
From equation (1)
y = -2(-2) - 7
y = 4 - 7
y = -3
26,062, 26,064, __
2,898, 322, 324, 36
What is the missing number in the pattern above?
Really confused, can someone help me?
First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution
help plzzzzzzzzzzz WILL MARK BRAINLIST
Answer:
7
Step-by-step explanation:
(-1^2)x 3 = 3
-1 x 4 = -4
3--4 = 7
Christopher is going to use a computer at an internet cafe. The cafe charges
$0.20 for every minute using a computer on top of an initial charge of $7.
Make a table of values and then write an equation for C, in terms oft,
representing the total cost of using a computer for t minutes at the internet
cafe.
Answer:
0 7
1 7.20
2 7.40
3 7.60
Step-by-step explanation:
please help me
Can the measure of an exterior angle of a triangle ever exceed 180°? Explain your reasoning.
Answer:
Yes I believe so because the interiors of a triangle always add up to 180 degrees meaning the outside mustn't follow this same rule hop this helps!
Step-by-step explanation:
Answer:
Lets assume you have a triangle ABC with a straight horizontal line at the bottom say line segment CD. In order for the exterior angle to be greater than 180 it must be a exceed rad Pi which mean it is impossible for an exterior angle to exceed the 180 rule
Lines x and y are parallel lines cut by a transversal. If m 24 = 82°, which of the
following is true?
+
21 22
24 / 23
X
Y
25 26
28/ 27
A) m_8 = 82
B) m 25 = 82°
Find the sum
(w-7)+(-6w-5)
Pls answer i will give brainliest and i will give thanks pls hurry it is due soon
the answer is:
-5w - 12
HELP ASAP GIVING BRAINLIEST
Answer:
5: c, 3: a
Step-by-step explanation:
write an expression equivalent to 2(2x + 2y).
Answer:
4x+4y
Step-by-step explanation:
You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.
You'll get:
(2*2x)+(2*2y) = 4x + 4y
4x + 4y is an equivalent expression.
Which of these graphs represents a function?
Answer:
I believe it would be graph Z :)
Step-by-step explanation:
Answer:
it’s graph x
Step-by-step explanation:
vertical line test, put a vertical line through the graph, if it touches more than 1 point(2 or more) it’s not a functions
Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43. (2 points)
Answer:
This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.
Step-by-step explanation:
5. The ratio of dog owners to cat owners is 4:3. If 320 people in a city own dogs, how many people own
cats?
Answer:
240
Step-by-step explanation:
the answer is 240 bc if you divide 4 from 4:3 320/4 is 80 and use the 3 from 4:3 80x3 is 240
At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole
casts a shadow that is 9 feet long. How tall is the flagpole to the nearest foot?
A.4 feet
B.7 feet
С.8 feet
D.19 feet
Answer:
D 19 feet
Step-by-step explanation:
Let x = height of flagpole
tan 65 = x/9
9tan 65 = x
x = 19.3 ≅ 19 ft. to the nearest foot
Please help me. Thank you
Answer:
AE - 3, EB - 2, EC - 5
Step-by-step explanation:
Use the Pythagorean theorem and you'll find that these are the answers.
I'll answer problem 19
=======================================================
Part (a)
The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.
So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.
We'll use the pythagorean theorem to find x
a^2 + b^2 = c^2
(AE)^2 + (AD)^2 = (DE)^2
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 25-16
x^2 = 9
x = sqrt(9)
x = 3
Segment AE is 3 cm long
=======================================================
Part (b)
For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.
We found earlier that AE = 3 cm, so,
AE+EB = AB
3+EB = 5
EB = 5-3
EB = 2
Segment EB is 2 cm long
=======================================================
Part (c)
We know that AD = BC = 4 cm, because the opposite sides are the same length.
Earlier in part (b), we found that segment EB was 2 cm long.
Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.
a^2 + b^2 = c^2
(EB)^2 + (BC)^2 = (EC)^2
2^2 + 4^2 = y^2
4 + 16 = y^2
20 = y^2
y^2 = 20
y = sqrt(20)
y = sqrt(4*5)
y = sqrt(4)*sqrt(5)
y = 2*sqrt(5)
y = 4.4721359
As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.
As an approximate value, EC is roughly 4.4721359 cm long.
I would ask your teacher if you should use the exact or approximate value.