Answer:
(3, 6)
Step-by-step explanation:
[tex]y=4x-6[/tex]
[tex]6=4(3)-6[/tex]
[tex]6=12-6[/tex]
[tex]6=6[/tex]
[tex]3y=-2x+24[/tex]
[tex]3(6)=-2(3)+24[/tex]
[tex]18=-6+24[/tex]
[tex]18=18[/tex]
x = 3, y = 6
By substitution method,
[tex]y = 4x - 6[/tex]
[tex]3y = - 2x + 24[/tex]
[tex] \frac{3y - 24}{ - 2} = x[/tex]
[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]
[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 42[/tex]
[tex]y - 42 = \frac{12y}{ - 2} [/tex]
[tex] - 42 = \frac{12y}{ - 2} - y[/tex]
[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]
[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]
[tex] - 42 = \frac{14y}{ - 2} [/tex]
[tex] - 42 \times - 2 = 14y[/tex]
[tex]84 = 14y[/tex]
[tex] \frac{84}{14} = y[/tex]
[tex]6 = y[/tex]
[tex]\frac{3(6) - 24}{ - 2} = x[/tex]
[tex] \frac{18 - 24}{ - 2} = x[/tex]
[tex] \frac{ - 6}{ - 2} = x[/tex]
[tex]3 = x[/tex]
Therefore,
The solution is (3, 6).
mr.harrington drive 164 miles. his car used 8 gallons of gas. how many miles per gallon of gas does the car average
Answer:
20.5 miles per gallon
Step-by-step explanation:
To determine the miles per gallon, take the miles and divide by gallons
164/8
20.5
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
Answer:
Step-by-step explanation:
I would have thought the answer would be whole numbers...
using top line....
5x-5y + 7x-15 = 180 (that is a line)
12x - 5y = 195
using bottom line
4x+ 4y +2x+ y = 180
6x + 5y =180
~~~~~~~~~~~~~~~~~~
12x - 5y = 195
6x + 5y =180
(fives cancel)
18x = 375
x = 20.83
y= 11
Answer:
x=125/6
y=11
Step-by-step explanation:
Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.
So we have the following two equations:
7x-15+5x-5y=180
4x+4y+2x+y=180
Let's simply(combine like terms):
12x-5y-15=180
6x+5y=180
Add 15 on both sides for first equation:
12x-5y=195
6x+5y=180
Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):
18x=375
Divide both sides by 18:
x=375/18
Simplify (reduce fraction):
x=375/18 ÷3/3=125/6
Now let's go back and find y using either equation:
6x+5y=180 with x=125/6
6(125/6)+5y=180
125+5y=180
5y=180-125
5y=55
y=11
x=125/6 and y=11
Which integer is farthest from 0?
3
-8
-10
9
Answer:
-10
Step-by-step explanation:
i think this is the answer
Classify each triangle with the set of side lengths given as acute, right, or obtuse.
Answer:
right angle
Step-by-step explanation:
each triangle is a different ome
Measurement questions please help
Answer:
There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.
2.8125
Step-by-step explanation:
use thing below to get answers or count them
Find the zeros of the function.
Enter the solutions from least to greatest.
h(2) = -5x2 + 180
lesser x=
greater x =
Answer:
lesser x = -6
greater x = 6
Step-by-step explanation:
-5x² + 180 = 0
5x² = 180
x² = 36
x = ±6
Answer:
x = - 6, x = 6
Step-by-step explanation:
Given
h(x) = - 5x² + 180
To find the zeros let h(x) = 0 , that is
- 5x² + 180 = 0 ( subtract 180 from both sides )
- 5x² = - 180 ( divide both sides by - 5 )
x² = 36 ( take the square root of both sides )
x = ± [tex]\sqrt{36}[/tex] = ± 6 , then
lesser x = - 6
greater x = + 6
fazer scores 43% in a spelling test, what percentage did he get wrong???
Answer:
57
Step-by-step explanation:
100 - 43 =
57
Answer:
He got 57% wrong
Step-by-step explanation:
If he got 43% correct, there is 100 percent on the assignment
100 -43 = 57
He got 57% wrong
From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)
Answer:
Domain(-4,4) and Range:(-3,0)
Step-by-step explanation:
Because the graph goes through - 4 and 4
circumference of a circle
Answer:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Step-by-step explanation:
Answer:
Step-by-step explanation:
the straight sides are just 4.5 *2 = 9 cm
the arcs are 2[tex]\pi[/tex]r * Ф/360
where Ф= 50 for this problem
and r = 8
the inner arc is 2[tex]\pi[/tex](3.5) *50/360 = 3.05432
the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131
total is 19.0356
to 3 sig figs is 19.036 :)
I NEED HELP ASAP!!!!
Answer:
The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
Step-by-step explanation:
13 In a school, students must study at least one language from German, French and Spanish.
DO NOT WRITE IN THIS AREA
There are 30 students in a class of this school.
Of these students
7 study all three of the languages
10 study both German and French
12 study both Spanish and German
9 study both French and Spanish
16 study Spanish
18 study German
Work out the total number of the students in the class who study French.
You may use the Venn diagram to help with your calculations.
Answer:
20 students
Step-by-step explanation:
looking at the venn diagram above you calculate all the numbers in the French circle which total to 20.
Solve the equation. Then check your solution. StartFraction x Over 90 EndFraction = StartFraction 7 Over 9 EndFraction
Answer:
Step-by-step explanation:
x = 7
Symbolically, this equation is:
x 7
----- = -----
90 9
Cross multiplying yields 9x = 9(7), and so x must be 7.
Answer:
its b!!
Step-by-step explanation:
A regular pentagon ABCDE is shown.
A
חי
B
X
Work out the size of angle x.
nothing is shown as far as I can tell
edit: but the inner angles of a regular pentagon should always be 120°. maybe it helps
Step-by-step explanation:
can see any photo concerning the angle
V = I ( R + r )
r = ?
Answer:
r = [tex]\frac{V-IR}{I}[/tex]
Step-by-step explanation:
Given
V = I (R + r) ← distribute parenthesis
V = IR + Ir ( subtract IR from both sides )
V - IR = Ir ( divide both sides by I )
[tex]\frac{V-IR}{I}[/tex] = r
Which best describes angle 3 and angle 7?
Answer:
A) corresponding
Step-by-step explanation:
The value of log₃⁵ x log₂₅⁹ is...
Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
PLEASE HELPPP TEST TMR PROBLEM ISW IN PHOTO BELOW
Answer:
AB = A'B', AD = A'D', CD = C'D', CB = C'B'
Step-by-step explanation:
There is more then one way to give this problem a solution. The point of the question is to explain or provide an argument that will prove that the square ABCD is the same as A'B'C'D.
The way to prove it is by saying that the sides are equal, meaning the answer I provided above, by claiming that side AB is also equal to A'B', and so forth with all four sides.
Which of the following are solutions to the equation below?
Check all that apply.
(2x + 3)2 = 10
3
A. x = 10 +
2
B. x=
7
C. x=-
D. X= V10-3
2
10 - 3
E. x=
F. x = - 0 +
NO
Hola aquí va la respuesta...!!!
[tex]Which of the following are solutions to the equation below?
Check all that apply.
(2x + 3)2 = 10
3
A. x = 10 +
2
B. x=
7
C. x=-
D. X= V10-3
2
10 - 3
E. x=
F. x = - 0 +
NO
[/tex]
[tex] \bold{salu2}[/tex]
Espero que estés bien !
Answer:
\/10-3/2 and -\/10-3/2
Step-by-step explanation:
\/ is square root / is divided by
There are 271 songs on Amy's computer. She
wants to make playlists that have 9 songs
each. How many full playlists can she make?
Answer:
30
Step-by-step explanation:
You do 271 ÷9
= 30.11111111
The answer is your whole number (30)
The Park Protectors is a group of elementary students and teachers from 3232 schools who pick up trash at local parks. The line plot shows the tons of trash they picked up this year.
Answer:
[tex]Each = \frac{15}{128}[/tex]
Step-by-step explanation:
Given
See attachment for line plot
Required
Determine the total trash picked
The data on the line plot can be represented as:
[tex]Trash \to Schools[/tex]
[tex]\frac{1}{8} \to 6[/tex]
[tex]\frac{1}{4} \to 8[/tex]
[tex]\frac{1}{2} \to 2[/tex]
[tex]1 \to 0[/tex]
The total trash picked is:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 8 + \frac{1}{2} * 2 + 1 * 0[/tex]
[tex]Total = \frac{3}{4} + \frac{8}{4} + 1+0[/tex]
Take LCM
[tex]Total = \frac{3+8+4+0}{4}[/tex]
[tex]Total = \frac{15}{4}[/tex]
The total picked by each school is:
[tex]Each = \frac{Total}{32}[/tex]
[tex]Each = \frac{15/4}{32}[/tex]
Rewrite as:
[tex]Each = \frac{15}{4*32}[/tex]
[tex]Each = \frac{15}{128}[/tex]
What is the surface area of the regular pyramid below? 19 16 16
A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²
Answer:
A. 864 units²
Step-by-step explanation:
(16×16)+(4×½×16×19)
= 256 + 608
= 864
The surface area of the regular pyramid is S = 864 units²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be S
Now , let the base area of the pyramid be B
where the side length of the pyramid is a = 16 units
So , B = 16² units² = 256 units²
And , let the height of the pyramid be h = 19 units
And , the perimeter of the pyramid P = 4 x 16 = 64 units
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
On simplifying , we get
S = 256 + ( 1/2 ) ( 64 x 19 )
S = 256 + 608
S = 864 units²
Hence , the surface area is 864 units²
To learn more about surface area of pyramid click :
https://brainly.com/question/15050758
#SPJ7
Which of the following rational functions is graphed below?
Answer:
"C" has to be the answer...
there is a vertical asymptote at -5
thus you need a denominator that is zero at -5
plug in -5 into the equations only "C" ends up with a zero in the denominator at that point
Step-by-step explanation:
Solve the system of equations.
Step-by-step explanation:
[tex] - 6y + 11x = - 36 \\ - 4y + 7x = - 24 \\ 11x = 6y - 36 \\ x = \frac{6y - 36}{11} \\ - 4y + 7( \frac{6y - 36}{11} ) = - 24 \\ - 4y + \frac{42y}{11} - 22.91 = - 24 \\ - 4y + \frac{42y}{11} = - 1.09 \\ - 0.18182y = - 1.09 \\[/tex]
[tex] y = 5.99 = 6 \\ y = 6 \\ x = \frac{6(6) - 36}{11} \\ x = \frac{36- 36}{11} = 0[/tex]
A drawer contains 2 red shirts and 4 blue shirts. A second drawer contains 3 pairs of grey pants and 2 pairs of blue pants. A third drawer contains 8 pairs of white socks and 7 pairs of blue socks.
You choose one item from each drawer without looking. What is the probability of each outcome?
a) A blue shirt, blue pants, and blue socks
b) A red shirt, blue pants, and white socks
c) Nothing blue
Answer:
b . may be
may it helped u ....
**PLEASE HELP THIS IS FOR A FINAL**
Please show work as well
The function f(x) is shown below.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answer:
f(g(2)) = 2
Step-by-step explanation:
g(2)
g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]
f(g(2))
[tex]g(2) = -3[/tex]
Thus
[tex]f(g(2)) = f(-3)[/tex]
Looking at the table, when [tex]x = -3, f(x) = 2[/tex]
Thus: [tex]f(g(2)) = 2[/tex]
Which expression gives the measure of angle ABC?
Answer: 1/2 (110 degree + 20 degree)
Step-by-step explanation:
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
Answer:
61
Step-by-step explanation:
lenths is a right anglre
Which equation has the slope of 3 and passes through point (1,5)
The choices are a.2 b.4 C. 1/2 D. 1/4
Answer:
b
Step-by-step explanation:
I can't explain it but the answer is b