Given:
The system of equations:
[tex]y=2x+4[/tex]
[tex]y=-\dfrac{10}{3}x+\dfrac{76}{3}[/tex]
To find:
The sum of the x- and y-values in the solution to the system of equations.
Solution:
We have,
[tex]y=2x+4[/tex] ...(i)
[tex]y=-\dfrac{10}{3}x+\dfrac{76}{3}[/tex] ...(ii)
From (i) and (ii), we get
[tex]2x+4=-\dfrac{10}{3}x+\dfrac{76}{3}[/tex]
[tex]2x+\dfrac{10}{3}x=\dfrac{76}{3}-4[/tex]
[tex]\dfrac{6x+10x}{3}=\dfrac{76-12}{3}[/tex]
Multiply both sides by 3.
[tex]16x=64[/tex]
Divide both sides by 16.
[tex]x=\dfrac{64}{16}[/tex]
[tex]x=4[/tex]
Putting x=4 in (i), we get
[tex]y=2(4)+4[/tex]
[tex]y=8+4[/tex]
[tex]y=12[/tex]
The solution of system of equations is (4,12).
[tex]x+y=4+12[/tex]
[tex]x+y=16[/tex]
Therefore, the sum of the x- and y-values in the solution to the system of equations is 16.
Which pair of numbers are equivalent? 0.65% and 65100.65% and 65 tenths 0.7 and 7% 0.7 and 7% 0.5 and 150.5 and 1 fifth 0.02 and 2%
Step-by-step explanation:
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could someone please help me with this??
Answer:
no later
Step-by-step explanation:
i am sooooooooooooooooooo busy pls i am pooping but no water come
The table shows the number of slices of pepperoni pizza and of supreme pizza sold by a food truck on two separate days. It also shows the dollar amount taken in each day.
Pepperoni Supreme Total
Day 1 500 620 $3,730
Day 2 500 430 $2,970
What is the cost of a slice of pepperoni pizza, and what is the cost of a slice of supreme pizza?
Enter your answers in the boxes.
What is the answer?????
Answer:
it is b for sure sokays uduhdhd
A total of 450 theater tickets were sold. Student tickets cost $3 and adult tickets cost $5. If the total receipts were $2000, how
many of each ticket were sold?
Answer:
i have made it in above picture hope it helps
1)
Which expression is equivalent to 4 ninths x 7?
9 divided by 4x7
4 divided by 7 x 9
7 x 9 divided by 4
4 x 7 divided by 9
Answer:
4x7 divided by 9
Step-by-step explanation:
I think it's D.)
23
1 point
RT
(3x + 5)º
(10x - 7°
Q
R
S
Select the correct equation to solve for x.
3x + 5 = 10x - 7
3x + 5 + 10x - 7 = 180
0 3x + 5 + 10x - 7 = 90
What’s the answer to this I’m not sure
Answer:
.14
Step-by-step explanation:
you didvide 3.36÷24
Answer:
Yes, Its 0.14 for 1 oz
Step-by-step explanation:
3.36 divided by 24 equals 0.14.
To be sure 0.14 times 24 equals 3.36
I need to know the answer so I can correct it so I can fully retake my test
Answer:
D. all real numbers
Step-by-step explanation:
4(x+3)-7greater than or equal to x+3(x+1)
4x+12-7> or equal to x+3x+3
4x+5>or equal to 4x+3
so, by testing
if x=1, is it true that 4x+5 is greater than or equal to 4x+3
4(1)+5=4(1)+3
9=7
hence it true 9 is greater than 7
Option D is collect
Answer:
Step-by-step explanation:
4(x+3) - 7 ≥ x + 3(x + 1)
4x + 12 -7 ≥ x + 3x + 3
5≥3
so this answer tells us that this equation will always be true no matter what number you plug in for x ... so all real numbers works
A small box holds 40 stuffed toys. A large box holds 150% as many stuffed toys as than a small box how many stuffed toy does the large box hold.
Answer: 60
Step-by-step explanation:
From the question, we are informed that a small box holds 40 stuffed toys and that a large box holds 150% as many stuffed toys as that of a small box.
The number of stuffed toy that the large box hold would be calculated as:
= 150% × 40
= 150/100 × 40
= 1.5 × 40
= 60
(-3/2)-4 7/8=
Help
Help
Answer:
Step-by-step explanation:
lets remember this first, negative minus positive
keep change flip, this now becomes negative plus negative
-3/2 is 1 1/2 (negative), and then we add the 4 7/8 (negative)
add them together you get 6 and 3/8 POSITIVE because negative plus
negative always is positive.
your hourly wage is $9.30 per hour plus $0.80 for each unit you produce. how many units must you produce in 1 hour so that your hourly wage is $18.90?
Answer: 12 units
Step-by-step explanation:
18.90- 9.30= 9.60
9.60/ 0.80= 12
Progression
Karen has a bag containing the following marbles:
3 red marbles
4 green marbles
1 yellow marble
What is the probability of randomly selecting a
green marble from the bag?
A. 4/8
B 3/8
C 4/4
D 1/8
Answer:
A. 4/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/8
Need help!!!!!!! Please help solve solution!
Answer:
x=65
Step-by-step explanation:
Step 1: Add -3 to both sides.
√x−1+3+−3=11+−3
√x−1=8
Step 2: Solve Square Root.
√x−1=8
x−1=82(Square both sides)
x−1=64
x−1+1=64+1(Add 1 to both sides)
x=65
Check answers. (Plug them in to make sure they work.)
x=65(Works in original equation)
When you multiply two complex numbers in polar form, what happens to the angles?
The angles get added.
Let z = r exp(i θ) and w = s exp(i φ). Then
zw = rs exp(i θ) exp(i φ) = rs exp(i (θ + φ))
Which one should I choose my brain cells dont exist at this point.
The price of the holiday was decreased by 12% to £600 what was the price before the decrease give you an answer to the nearest penny
Answer:
six hundred and seventy two
please help me on this will give you brainliest
Answer:
1/8⁹ ( one-eighth to the nineth power )
Step-by-step explanation:
I need help PLEASEE and thanks
Answer:
24 is the correct answer it will be
A triangle has two equal sides.
a)
What is the special name for this type of triangle?
b)
One of the angles in this triangle measures 100°.
What is the size of each of the other two angles?
+
Answer:
A. isosceles triangle
B. each two angles equal 40°
Step-by-step explanation:
A. the special name for this type of triangle is isosceles triangle.
As isosceles triangles are the triangles whose base angels are equal and the Two sides are equal.
B.
given
one angle = 100°
As it is isosceles triangle so two angles are equal. So let the angle be x
Then
x + x + 100° = 180° [sum of angles of triangle ]
2x = 180° - 100°
2x = 80°
2x = 80°
x = 40°
Hey there ..
Here is ur answer ..
a) Isosceles triangle
b) 40° and 40°
Please read the attachment also ..
Plz mark me as brainliest and follow me ..
Find the value of a.
Answer:
7
Step-by-step explanation:
Hope this helped!
8x - 16 = -4x - 4(1-6x)
please show work
Answer:
x= -1
Step-by-step explanation:
8x - 16 = -4x - 4(1-6x)
8x - 16 = -4x - 4+24x
8x - 16 = 20x-4
8x - 16+16 = 20x-4+16
8x = 20x+12
8x-20x = 20x-20x+12
-12x=12
Divide both by -12, and you get -1.
[tex]8x - 16 = - 4x -4 + 24x[/tex]
Solve the equation for x-term by making x as the subject.[tex]8x + 4x - 24x = 16 - 4 \\ 12x - 24x = 12 \\ - 12x = 12 \\ x = \frac{12}{ - 12} \Longrightarrow \frac{1}{ - 1} \Longrightarrow - 1 \\ x = - 1[/tex]
Answer Check by substituting x = -1 in the equation.[tex]8( - 1) - 16 = - 4( - 1) - 4 + 24( - 1) \\ - 8 - 16 = 4 - 4 - 24 \\ - 24 = 0 - 24 \\ - 24 = - 24[/tex]
The equation is true for x = -1.
Answer[tex] \large \boxed{x = - 1}[/tex]
Which of the following is a common denominator of
3/4
and
1/5
?
Answer:
20
Step-by-step explanation:
4 x 5 = 20
NEED HelP ASAP!!!!!!
Answer:
the bottom left
Step-by-step explanation:
desmos is a website you can use for graphing :)
If B is at (4,-5), what would be the coordinates of B if you reflected across the y-axis.
Answer:
4 5.......,............
Answer:
(-4, -5)
Step-by-step explanation:
It would look like this:
can someone answer this plssss
Answer:
AB : Y= 4 CB: Y= -1
Step-by-step explanation:
I think?? I'm so so sorry I didn't really pay attention to these shape figures in math :(((
pls help thanks, i’ll give brainliest if you give me a correct answer and show your reasoning
Answer:
Disagree
Step-by-step explanation:
The did 3 divided by 2/3 to get 4 1/2 or 4.5 so it wouldn't be 4 1/3
Tip is calculated on the subtotal of a bill true or false ?
Answer:
Step-by-step explanation:
The white-gloved etiquette mavens at the Emily Post Institute in Vermont say that restaurant tips should be 15% to 20% of the bill's pretax total. The Etiquette Scholar website agrees that you should “tip on the pretax amount of the bill, not on the total.”
Which function corresponds with the table?
A)
f(x) = x + 2
B)
f(x) = 2x - 2
09
f(x) = -2x + 2
D)
f(x) = -2x - 1
More points for an answer
Answer:
23 because i had this test before
