Answer:
x = -8, y = -7
Step-by-step explanation:
=> x = 6 + 2y
substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:
=> 3(6 + 2y) - 5y = 11
=> 18 + 6y -5y = 11
=> y = -7
substitute y = -7 into the equation x - 2y = 6 to solve for x:
=> x - 2(-7) = 6
=> x +14 = 6
=> x = -8
A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $115 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let x= the cost of a calculator and y= the cost of the textbook. The corresponding modeling system is {x+y=115x=4y+20. Solve the system by using the method of substitution.
Answer:
X=$96
Y=$19
Step-by-step explanation:
x=4y+20
X+Y=$115
4Y+20+Y=$115
5Y+20=$115
-20 -20
5Y=$95
/5 /5
Y=$19
X=4 x $19 + $20
X=$76+$20
X=$96
In linear equation, cost of calculator = $96 , cost of textbook = $19 is the cost of each item .
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.let cost of calculator = x
cost of textbook = y
x=4y+20 .................(1)
X+Y= 115 .................(2)
put value of equation 1 in 2
4Y+20+Y= 115
5Y+20= 115
5Y = 115 - 20
5Y = 95
Y = 95/5
Y = 19
Put value of y in equation 1
X=4 x 19 + 20
X= 76+ 20
X= 96
cost of calculator = 96
cost of textbook = 19
Learn more about linear equation
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please Help.
Ahmed And Ebrahim are recording how far a ball rolls down a ramp during each second. the table below shows the data the have collected.
Answer:
Read below for the answer :)
Step-by-step explanation:
So, when you read it at first, it doesn't seem to match in any way. Well look at it from left to right. If you take notice of the bottom numbers, 1 to 9 is a difference of 8. And 2 to 13 = a difference of 11. 8-11 = a plus 3 system. Likewise, 3 to 17 = 14, or, 11 +3.
The answer is yes, and that is the reason above :)
I need help please !!!!!!!!
Answer:
line and point
hope it's correct..
Solve the following formula for t.
W = C + Crt
Answer:
(W-C)/Cr=t
Step-by-step explanation:
Move the C to the left side to make W-C=Crt
Divide by Cr
(W-C)/Cr=t
1. If CA = 12 cm, what is the measure of ER?
1CD
CD
Answer:
[tex]ER = 12cm[/tex]
Step-by-step explanation:
Given
See attachment for the given shape
Required
Length of ER
The given shape is a parallelogram and the opposite sides are: CA and ER
Given that:
[tex]CA= 12cm[/tex]
We have:
[tex]CA = ER[/tex] --- opposite sides of a parallelogram
So:
[tex]ER = 12cm[/tex]
HELP IM TIMED. ILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the degree of this polynomial below ?
2x^5 + 4x^3 -3x^8
Answer:
8
Step-by-step explanation:
the degree is the highest exponent value
What is the probability that a point chosen at random is in the blue region?
Answer:
Well It would about 1/10000000 if your talking about all colors, but its not specified how many blue regions other colored regions there are so I cant tell you without knowing.
Step-by-step explanation:
Just Take the amount of regions then put it under the amount of Blue regions there are then look up on a browser, Ex: What is 2/3 into a percent: 66.6 percent, And you have your answer :)
Answer:
15/17
Step-by-step explanation:
What type of units are used to describe volume?
Answer:
The most basic common unit is Liters (L), but people also commonly use milliliters (mL) and cubic centimeter (cm^3).
Answer in correct standard form
Evaluate the following equation for the given x value. Round your answer to
the nearest hundredth. *
у
600(0.732)"; x = 3
Answer:
585856859686
Step-by-step explanation:
546786676
P = 3T squared work out the value of p when T = 10
Answer:
P=300
Step-by-step explanation:
P=3T squared
T=10
P=?
P= 3×(10×10)
=3×100
=300
8
Determine the area
of the shaded
region.
2 ft
7.6.4
Answer:
3.44 ft ^2
Step-by-step explanation:
the box area is 4x4 =16
the circle is 4π = 12.57
16-12.57 = 3.46 this is rounded so 3.44 would work too
what are the lengths of side a and b?
Answer:
[tex]a =\frac{\sqrt 2}{2}[/tex] m
[tex]b=\frac{\sqrt 2}{2}[/tex] m
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{c}[/tex]
[tex]\sin(45) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{1}[/tex]
[tex]\sin(45) = a[/tex]
Rewrite as:
[tex]a =\sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]a =\frac{\sqrt 2}{2}[/tex]
Similarly:
[tex]\sin(45) = \frac{b}{c}[/tex]
[tex]\sin(45) = \frac{b}{1}[/tex]
[tex]\sin(45) = b[/tex]
Rewrite as:
[tex]b = \sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]b=\frac{\sqrt 2}{2}[/tex]
i need help with this pls
Answer:
Angles B & C both = 157 degrees .
Step-by-step explanation:
Angle A is adjacent to Angle B, which means they are the same size. 23 degrees for A & B.
23+23 = 46.
We have two straight lines, one line = 180. 180*2 = 360.
Take 46 from 360 because we already figured out two angles.
360 - 46 = 314
Divide 314 by 2 because we have two unknown angles...
314 / 2 = 157 .
Angle B & C = 157.
Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
Answer:
29160cm³
Step-by-step explanation:
(18*18*18) *5 = 29160
Employees at a company are given £1,200 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 15 get 10% off the price."
The coffee machine costs £280.
How much will they have left over from the £1,200?
Answer:
100 $
Step-by-step explanation:
A. 93
B. 57
C. 132
D. 123
Answer:
B
Step-by-step explanation:
The interior angles of a triangle always add up to 180 degrees.
We have two angles already and they add up to 60+63=123 degrees
180-123=57
so the remaining angle is 57 degrees
9514 1404 393
Answer:
D. 123°
Step-by-step explanation:
The external angle is equal to the sum of the remote internal angles.
m∠1 = 60° +63°
m∠1 = 123°
The dimensions of a patio are shown above what is the area in square feet of the patio?
Answer:
uhh the picture is sideways .
Answer:
it is 10x + 2
Step-by-step explanation:
Students applying to law school must take the LSAT exam. Since competition for acceptance is stiff, many students take a course that is advertised to boost scores on the LSAT. The agency that teaches the course claims the course is an effective way to raise scores on the LSAT. To test this claim, a group of students are given the LSAT and their scores are recorded. They then attend the course for 5 wecks and retake the exam. Their scores are recorded again. The pre and post test scores are saved here (for Minitab 19) or here (for Minitab 18).
a. Are the samples independent or dependent? Explain.
b. What are the appropriate null and alternative hypotheses for testing the claim that the course is an effective way to raise scores on the LSAT?
c. What Minitab procedure are you going to use to test the hypotheses formulated above?
d. Create the probability plot necessary to validate the procedure chosen above. B C14 C15 non 100 m Ennish finited States)
Answer:
a) Dependent
b) H0: µd = 0
Ha: µd > 0
c) Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data
Step-by-step explanation:
Using values found in MINITAB 19
a) The samples are dependent and this is because the title of the test is the same ( i.e. A group of students given the LSAT )
b) Appropriate hypothesis
H0: µd = 0
Ha: µd > 0
c) The Minitab procedure to be used to test the hypothesis is
click on Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data to create a probability plot
What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
Answer:
D
Step-by-step explanation: :)
5. In order to figure out who will go first in a game, your friend asks you to
pick a number between 1 and 25.
a. What are the possible outcomes?
b. What are the favorable outcomes of choosing an even number?
c. What are the favorable outcomes of choosing a
number less than 20?
Answer:
a. - Any number 1-25
b. - 12/25
c. - 20/25
PLEASE HELP MEEEEE!!
Answer:
2/6
3/9
4/12
Step-by-step explanation:
Answer:
2, 3, 4
Step-by-step explanation:
I need help on what to do
In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP
Answer:
75 degrees
Step-by-step explanation:
2 and 4 are vertical angles so 4 is 75.
4 and 6 are alternate exterior angles so have same value.
6 is 75 degrees.
Given that
5x : 8 = 7:2
Calculate the value of x
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
Given
5x : 8 = 7 : 2
[tex]\frac{5x}{8} =\frac{7}{2}\\cross , multiply\\\\10x = 56\\x = \frac{56}{10}\\x =\frac{28}{5}[/tex]
hope it helps :)
Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m
Answer:
-54
Step-by-step explanation:
Factorise the following completely: (4 marks)
a)a) 81
Answer:
Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers
⚠️ Urgent PLS HELP !!!
find the value of x.
Answer:
x = 14.5
Step-by-step explanation:
This is a supplementary angle, meaning the sum of the angles is 180°.
We can find the value of x by combining like terms.
5x - 6 + 7x + 12 = 180.
5x and 7x are alike.
5x + 7x = 12x.
-6 + 12 = 6.
The final equation is 12x + 6 = 180.
We can solve this by subtracting 6 from 180.
180 - 6 = 174.
12x = 174
Lastly, we divide 174 by 12.
174 / 12 = 14.5
Therefore, x is equal to 14.5
help me please!!!!! and thank you!
Answer:
After 5 minutes, the submarine is at 240 ft below sea level.
Step-by-step explanation:
-300 + 16z
After 5 minutes, z = 5.
-300 + 16(5) = -300 + 80 = -240
After 5 minutes, the submarine is at 240 ft below sea level.