Solve the system of equations by substitution.
3x - 4y = 13
5x + 4y = 11
The solution of the system is x = and y=
(Type integers or simplified fractions.)
Answers
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
Step-by-step explanation:
[tex]3x - 4y = 13[/tex]
[tex]5x + 4y = 11[/tex]
isolate x for 3x-4y=13
[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]
[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
now isolate y for [tex]\frac{65+32y}{3}=11[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
[tex]65+32y=33[/tex]
[tex]32y=-32[/tex]
Divide both sides by 32
[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]
[tex]=\frac{13-4\cdot \:1}{3}[/tex]
[tex]=\frac{9}{3}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]
[tex]=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
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Answer:
H
Step-by-step explanation:
85 * 1.08 = 91.8
$91.80
3х + 4 = 14
х = 2y - 12
Answers
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2Kavitha had some twenty-cent coins and ten-cent coins. The number of twenty-cent coins was 40% of the number of ten-cent coins. Kavitha had $5 worth of ten-cent coins. Find the total value of the coins. Model/Table:
Answers
x=40%(y)
5=.10y
y=5/ .10
y=50 10 cent coins
value of 10 cent coins = 5 dollars
x=40%( 50)
x=20 20 cent coins
20* .20= 4 dollars
5+4=9
she has 9 dollars worth of coins
Use the reciprocal property to solve for x : 3/540= 10/x
Answers
Answer:
x=1800
Step-by-step explanation:
The value of x for the given equation is 1800.
What is the reciprocal property?The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.
Given that, 3/540= 10/x.
Now, 1/180 = 10/x
⇒ 180/1 =x/10
⇒ x=180×10
⇒ x=1800
Therefore, the value of x for the given equation is 1800.
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PLEASE HELP!!!! WILL MARK CROWN!!
if a car can drive 25 miles a gallon and you need to drive 1,228 miles how much would it cost with the price of gas as it is now?
Answers
Answer:200.9
Step-by-step explanation:
im right
Question 4
1 pts
Solve:
-(x-8)= -2
x = [a]
Answers
Answer:
-[x-8]= -2
-x+8=-2
-x= -2-8
-x÷ -1=-10÷ -1
x=10√
What are the coordinates of the vertex? *
Answers
Answer:
(2,-7)
Step-by-step explanation:
The equation of a parabola is y=a(x-h)^2 + k
the vertex in this equation is (h,k)
Since the equation that is given is y=(x-2)^2-7
we can conclude that the vertex will be (2,-7)
What is the missing step in this proof?
A. ∠ABC ≅ ∠DBE
B. ∠BCA ≅ ∠BDE
C. ∠ACB ≅ ∠DEB
D. ∠BDE ≅ ∠ADE
E. ∠CAB ≅ ∠DAC
Answers
Answer:
The Answer is A) ABC is congruent to DBE
Step-by-step explanation:
Correct on PLATO
The missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
From the two triangles:
ΔABC and ΔDBE
As we can see in the two triangles, the angle ∠ABC and ∠DBE are the same.
So, by the reflexive property of congruence:
∠ABC ≅ ∠DBE
Thus, the missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
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PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
when babysitting for x hours. How much money will he make for 2 hours of
babysitting work?
018
0 -3
2
02
Answers
Answer:
A 18
Step-by-step explanation:
f(x) = 4x + 10
f(2) = 4(2) + 10
f(2) = 8 + 10
f(2) = 18
18 money will he make for 2 hours of babysitting work
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
function f(x) = 4x + 10
The function models the amount of money Francis makes when babysitting for x hours.
We need to find the money he make for 2 hours of babysitting work.
To find this we just need to plug in x value as 2 in function
f(2)=4(2)+10
=8+10
18
Hence, 18 money will he make for 2 hours of babysitting work
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(-1,4)(2,-5), (-3,2)(3,0) parellel or perpendicular
Answers
Answer:
Perpendicular
Step-by-step explanation:
These lines don't run with each other, and instead, cross paths.
Two people are pulling on a rope in order to get a 2250-kg car out of a mud puddle. One person pulls with a force of 600 N and the other pulls with a force of 800 N. There is a resistive frictional force of 1200 N. Use the acceleration found in the previous question to determine the distance they would pull the vehicle in 25s (answer with 2 digits, include properly abbreviated units) *
Answers
Answer:
Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,
600 N + 800 N - 1200 N = (2250 kg) a
Solve for the acceleration a :
200 N = (2250 kg) a
a = (200 N) / (2250 kg)
a ≈ 0.0889 m/s/s
Step-by-step explanation: I hope this helps!
I need help identifying if it's a cube or square root function
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answer 2is the answer I thought
What is the next term of the arithmetic sequence?
-7, -5, -3, -1, 1,
Answers
Explain:
+2 each time
200- 6 - (-3)
200 - (-2)
Answers
Answer:
200 - 6 - (-3) = 197 200 - (-2) = 202
Monica makes tomato sauce with the plant she grows in her garden. She uses 3 basil leaves in her sauce for every eight tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden. How many basil leaves should Monica use in her sauce?
Answers
Answer:
0.995 P(at least 2) = 1 – P(X = 0) – P(X=1)
1 – 15C0 * 0.40 *0.615- 15C1*0.41*0.614
1 – 0.0000 – 0.005
= 0.995
Step-by-step explanation:
I have 12 brownies in a pan. If my friends ate 3/4 of the brownies, how many brownies did they eat?
Answers
Answer:
9
Step-by-step explanation:
3/4 of 12 is 9
Plssssssssssssss help
Answers
Answer:
4x-4
Step-by-step explanation:
6x- 2x=4x
-5+1=-4
4x-4
* plz hurry it is on a test
4) Find the slope of the line that runs through these points.
(-10, -2), (5,0)
Answers
Answer:
slope = 1/4
Step-by-step explanation:
The slope of a line is defined by the rise (change in y-value)/run (change in x-value. The change in y-value is 0 - (-2) = 0 + 2 = 2. The change in x-value is -2 - (-10) = -2 + 10 = 8. Therefore, the slope is 2/8 or (simplified) 1/4.
I'LL BRAINLIST!!!!
solve each proportional
4/12= y/9
1.2/m= 3/5
y/5= 13/10
5/10= 8/w
Answers
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Answer:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
2 cos theta - 1 = 0 trig equations
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Answer:
what does cos theta mean
Step-by-step explanation:
i need to know
I don't want a lot for Christmas
There is just one thing I need
I don't care about the presents
Underneath the Christmas tree
I just want you for my own
More than you could ever know
Make my wish come true
All I want for Christmas is you
I don't want a lot for Christmas
There is just one thing I need (and I)
Don't care about the presents
Underneath the Christmas tree
I don't need to hang my stocking
There upon the fireplace (I)
Santa Claus won't make me happy
With a toy on Christmas day
I just want you for my own (ooh)
More than you could ever know (ooh)
Make my wish come true
All I want for Christmas is you (you, baby)
I won't ask for much this Christmas
I won't even wish for snow (and I)
I just wanna keep on waiting
Underneath the mistletoe
I won't make a list… THE XMAS SPIRITTT
Answers
Answer:
I have this copied to my clipboard for me to past in comments!
Step-by-step explanation:
And it is CHRISTMAS do not X out Christ.
Mwah
Answer:
is this the All I want for christmas is you by mariah carey( I love the song )
Whats the error? Tanya says that the product of a multiple of ten and a multiple of ten will always have only one zero. Is she correct? Explain.
Answers
No. A multiple of ten and a multiple of ten will always have at least 2 zeros.
Plz, help me!!!!!!
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $778,095, how much commission would you receive?
Answers
Answer:
This is an percentage change question, by any chance you have a maths textbook, search for units that contains the topic: Percentage Change/Percentage. Now, let's get solving! :D
Step-by-step explanation:
First of all, you multiply 7% with $778,095 which gives: $54,466.65 (This is your commission/Answer)
Most currency questions use 1 decimal place, so I recommend you to use this answer: $54,466.7
Stay safe and Merry Christmas! :)
Answer:
he received commission amount =7% of $778,095=$54466.65
Step-by-step explanation:
commission =7%
marked price=$778,095
commission amount =7% of $778,095=$54466.65
2 tablets 3x per day
Answers
Answer: that's 6 tablets per day!
Hope this helps!
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices ( MUTCD ) The perimeter of a rectangular traffic sign is 100 inches . Also , its length is 10 inches longer than its width . Find the dimensions of this sign .
Answers
The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.
The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.
Given, The perimeter of a rectangular traffic sign is 100 inches.
rectangular perimeter= 2(l+b)=100
Also, its width is 10 inches wider than its length.
l=10+b
Take 2(l+b)=100
l+b=50
Substitute l=10+b in the above equatuion.
10+b+b=50
10+2b=50
2b=50-10
2b=40
b=20
Substitute b=20 in l=10+b
l=10+20
l=30
Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.
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If it rains 6 inches in three weeks how many inches did it rain per week?
Answers
Answer:
2
Step-by-step explanation:
Sarah needs to make 20 same-size tablecloths using 35 yards of fabric. How many inches of fabric will she use per tablecloth?
Answers
Answer:
63 inches per tablecloth.
Step-by-step explanation:
35 / 20 = 1.75 yards per tablecloth,
= 1.75 * 36
= 63 inches.
Since he's made of metal, Moby weighs a lot. In fact, Tim's weight is only 4 percent of Moby's weight. If Tim weighs 50 kg, how much does Moby weigh?
PLS HELP SHOW WORK IF POSSIBALE THANK YOU
Answers
Answer:
Moby weighs 1250Kgs
Step-by-step explanation:
Tim is 4% of Moby so
T =4%m
if T is for Tim and Tim weighs 50kgs then
50=4%m
100/4=25
25*50=1250
M = 1250Kgs
Find the x-intercept and y- intercept of the graph of 6x - 2y = - 6 Then graph .
Answers
Answer:
Step-by-step explanation:
Y intercept = (0,3)
X intercept = (-6,0)
(the equation graphed)
Write the given equation for the quadratic function in standard form.
9(x) = (x - 4) +11