The solution of the system of equations is x = 9 and y = -6.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
We have a system of equations,
-3x+2y = -39 {equation 1}
and 5x+4y = 21 {equation 2}
To eliminate the variable y:
Multiply by 2 to the equation 1 and subtract to the equation 2,
5x + 6x + 4y - 4y = 99
11x = 99
x = 9
And y =-6
Therefore, the solution is x = 9 and y = -6.
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Divide. Round your answer to the nearest whole number.
8,297.741 divided by 0.529=?
Answer:
8,297.741÷0.529=16876.63
to the nearest whole number it is 16877
Step-by-step explanation:
since 5-9 are rounded up
What is the slope of the line that passes through the points
(-10,-8) and (-8, -16)? Write your answer in simplest
form.
The area of a rectangle is equal to its perimeter. The base of the rectangle is 10 cm. The height of the rectangle is x cm. What is the value of x in this situation?
x=
Answer:
10x
Step-by-step explanation:
a=p
base=10
height=x
area=10 times x
perimeter=10+10+x+x
to work out area you times the base (10) by the height however since the height is x in this instant the answer is 10 times x which simplifies to 10x
In the diagram, .
Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent.
If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?
3 in.
7 in.
20 in.
24 in.
Answer: PN= 20 in.
Step-by-step explanation:
Given: In triangles PMN and QSR :
Length of P N ≅ Length of RQ (1) [ '≅' → Sign of congruence]
Length of QS ≅ Length of PM
Length of MN ≅ Length of RS
By SSS congruence rule
ΔPMN ≅ ΔQSR
Since Length of QR =20 in. [Given]
From (1)
Length of PN= 20 in. [Congruent means exactly equal]
Answer:
Its C brudda
Step-by-step explanation:
Ronaldo>Messi
5- 1/2x = 5/8x+2
Pls I need this for classwork due at 11:59
Answer:x=2.667
math
it's the right answer mark me smart.
Write the equation in slope-intercept form 2x−8y=24
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
20 POINTS N BRAINLIEST!!16.Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.
Answer:
a)E=.05t +34
b)$54
c)$600
Step-by-step explanation:
a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"
he earns an extra $34 a night of work. --> this is the constant
E= --> the total earned that night
E=.05t +34
b) simply plug in the total tip into the equation
E=.05(400) + 34
E=$54
--> he earned $54 that night
c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y
we find t, which is tip the restaurant was given
--> 64 = .05t +34
-34. -34
30= .05t ---> divide by .05 each side
t= $600
the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work
hoped this helped:)
PLS HELP Write three equivalent ratios for the ratio 4:5.
Answer:
12:15
16:20
40:50
Answer:
Choose a number and multiply that number by 4 and 5, then choose another number and multiply by the 4 and 5, and do it one last time
Step-by-step explanation:
Graph f(x) = 3x and g(x) = 3x - 5.
Which describes the transformation from
the graph of f(x) to the graph of g(x)?
Answer:A translation down 5 units
Step-by-step explanation:
if triangle ABC and DEF are congruent, what is the measure of angle E?
Answer: 83
Step-by-step explanation: Because the triangles are congruent, angle A is congruent to angle D, angle C is congruent to angle F, and angle E is congruent to angle B (CPCTC). Now because angle A and D are congruent they are both equal to 50. Using sum of angles in a triangle, you can find that measure of angle E is equal to 180- (47+50). That is 180-97=83.
Answer:
∠ E = 83°
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
Thus ∠ C = ∠ F = 47° and
∠ B = 180° - (50 + 47)° ← angle sum of Δ
∠ B = 180° - 97° = 83°
∠ B and ∠ E are corresponding angles, thus
∠ E = ∠ B = 83°
if you can, please help
pls answer seriouslyyy thank u
Answer:
See Explanation
Step-by-step explanation:
3.
XY is tangent at P and CP is radius
[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\
\therefore m\angle CPX = 90\degree \\[/tex]
4.
Radius of the circle = diameter /2 = 13/2 = 6.5.cm
5.
For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.
[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.
Let us work it out:
[tex] AD^2 = 7^2 = 49....(1)\\
AB^2 + BD^2 = 5^2 +5^2 \\
AB^2 + BD^2 = 25 + 25 \\
AB^2 + BD^2 = 50....(2) \\[/tex]
From equations (1) & (2), it is obvious that:
[tex] AD^2 \neq AB^2 + BD^2[/tex]
So, BD is not tangent to the[tex] \odot\: C. [/tex]
6.
Tangents drawn from an external point to a circle are congruent.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD
x = 4
7.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BD = BA (tangents drawn from external point to a circle)
x = 2
8.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD (tangents drawn from external point to a circle)
2x = 10
x = 10/2
x = 5
hi can anyone please answer this?
Answer:
7 hours
Step-by-step explanation:
As you can see it costs 22.75 dollars for 3 and a half hours, which means that 45.50 dollars will allow you to park for 7 hours.
What is the y intercept for y=−3x+7
Answer:(0, 7)
Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept.
Miguel earns $70 washing 7 cars. At this rate, how many cars did Miguel wash to earn $110?
Answer:
11 cars
Step-by-step explanation:
If he earned 70 cars 7 that means he earned 10 dollars per car. So in order to make 110 dollars he must wash 11 cars.
Answer:
11 cars
Step-by-step explanation:
$70total/7 cars= $10 per car
$110 total/$10 per car= 11 cars
1x 4/7x2/5 helllllllllllllllllllllllllllllllllllllllp meeeeeeeeeeeeeeeeeeeeee
Answer: It’ll be 8/35
9x + 4y = 9
x - intercept = ?
Answer:
The x intercept is at (1,0)
Does anyone know how to solve this question?
Answer:
b
Step-by-step explanation:
To evaluate g(h(- 2)), evaluate h(- 2), then use the value obtained to evaluate g(x), that is
h(- 2) = x + 4 = - 2 + 4 = 2, then
g(2) = 5x = 5(2) = 10 → b
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What's the question--?
Ashley simplified the following expression with the given steps 2(x+4)-(2x-8) 2x+4-2x-8 2x-2x+4-8 0-4 -4 Explain to her what her error was and how to correct it
hcf and lcm of 120 and 180, shown your work
The HCM and LCM of 120 and 180 are 360.
What is HCF and LCM?The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Given are two numbers as -
120 and 180
We can write 120 and 180 as -
120 = 2 x 2 x 2 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60
Now, we can find LCM using the formula -
LCM(a, b) = (a x b)/HCF(a, b)
LCM(a, b) = (120 x 180)/60
LCM(a, b) = 2 x 180 = 360
Therefore, the HCM and LCM of 120 and 180 are 360.
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finish the number sequence
47, 40, 45, 38, 43, 36,41
Answer:
46 please read the explanation it helps a lot and it's and easy one. Hope this helps! :)
Step-by-step explanation:
So at the beginning 47 is subtracted by 7 and then added by 5 and for the rest of the questions it's doing the same thing. So after 41 it's 46 because it adding 5
What is the unit rate? 400 m travelled in 50 seconds
Answer:
8 meters per second or 8/1
Step-by-step explanation:
Divide 400 meters by 50
8
So it is 8 meters per second
Hope this helps :)
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Answer:
8 meters per 1 second
Step-by-step explanation:
first, do 400m/50sec
then, do 400m/1 divided by 50sec/1
next, do keep change flip so, 400/1 * 1/50=400/50
last simplify so, 400 divided by 50 and 50 divided by 50 equals 8/1
hope this helps
whats the unit rate of 5.76
Answer:
there is no unit rate but hers an example of an unit rate using 5.76 NOT THE ANSWER
Step-by-step explanation:
Example: 64 ounces of water in a bottle that costs $5.76. To find the unit rate per ounce, divide the amount it costs ($5.76) by the number of ounces (64). $5.76 ÷ 64 ounces = $0.09 per ounce
find in liters the volume of storage tank whose length breadth and depth are 6m 4.3m and 3.5m
Answer: Area of tank = lbh
= 6 x 4.3 x 3.5
= 90.3 m^3
1 liter = 1000cm^3
90.3m^3 = 90300 cm^3
90.3l
Hope it helped u,
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-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg
Answer:
d = 8/3
Step-by-step explanation:
The volume of a fish tank is 40 cubic feet. If the density is 0.4, how many fish are in the tank?
Answer:
16 fish
Step-by-step explanation:
Please help!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
3/4
Step-by-step explanation:
Find where the line intercepts perfectly and you will see you it goes up 3 and to the left 4 so the slope is 3/4
i don’t understand what i can do
Answer:
14.037
Step-by-step explanation:
[tex]3^{-3} +5+9\\[/tex]
0.037+5+9
14.037
Pls help ill give the brainliest anwser a brainliest
Answer:
D
Step-by-step explanation:
9.5 times the sum means you'd have to the addition first but the equation should but the same as the words. Order of operations states to do the parenthesis first. Therefore, the answer is D (10+5/4)x9.5
Answer:
A.
Step-by-step explanation:
If it's 9.5 times the sum of 10 and 5/4, the answer is A.
Its not b because its called 10 plus 9.5 times 5/4.
Its not c because it is called 9.5 PLUS the sum of 10 and 5/4.
Its not d because its called 10 plus 9.5 times 5/4.
Therefore, the word version fits with answer a.