[tex](n \times (12 + 18)) + 43 = 103[/tex]
[tex]30n + 43 = 103[/tex]
Subtract both sides 43
[tex]30n + 43 - 43 = 103 - 43[/tex]
[tex]30n = 60[/tex]
Divide both sides by 30
[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]
[tex]n = 2[/tex]
Francis graphs the system of equations to determine its solution.
3x+2y=12
3x−y=3
What is the correct solution?
Enter your answer by filling in the boxes.
Answer:
Step-by-step explanation:
3x+2y=12 x= −2/ 3 y+4
3x-y=3 x= 1 /3 y+1
i hope this helps in anyway :/
The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
What is a Linear Equation?If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given that the system of linear equations;
3x + 2y = 12 and 3x − y = 3 is
Solving the equations by elimination, we get
x = 2 and y = 3
Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
For more reference on Linear Equation, click;
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13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)
Answer:
use the Microsoft world language to define noun phrases and figure of speech
Value of x.
2x
120
140
100
110
130
150
846
Step-by-step explanation:
can someone help me with these 2 questions?
Answer:
5. 8 months
6. 13 pencils
A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made
Answer:
You can make 6 servings
Step-by-step explanation:
The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
Its so easy Whats 1 + 1 = ?
Answer:
1+1=2....................
1 + 1 = 2
If we have one apple and get another apple, then we now have 2 apples.
We can also do the reverse to confirm our answer:
1 = 2 - 1
1 = 1
Which is true.
It is also not a matter of easy or not, this may be easy for us but hard for a baby.
I hope this helps! :)
Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy?
Enter a unit that best describes the number.
Number 24. unit {uh plz help with this part if u can }
Answer:
6.25 is the exact number, but you should round it to 6
Step-by-step explanation:
150/24=6.25.
It also equals 6 if you round it.
1) Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n) es A) machinery lubricant. B) heat insulator in a home. internal combustion engine fuel. D) electrical conductor in a computer circuit.
The given properties would be most useful as a machinery lubricant.
How to identify properties of chemical substances?We are given the chemical and physical properties of the unknown substance as follows;
High viscosity at higher temperaturesUnreactive with other substancesLiquid at high temperaturesOrganic compoundPoor conductor of electricityNow, some of the properties of machinery lubricants are;
A high boiling point and low freezing point (in order to stay liquid within a wide range of temperature)A high viscosity index.Thermal stability.Hydraulic stability.Demulsibility.Corrosion prevention.A high resistance to oxidation.These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.
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Complete question is;
High viscosity at higher temperatures
unreactive with other substances
liquid at high temperatures
organic compound
poor conductor of electricity
Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)
A) machinery lubricant.
B) heat insulator in a home.
C) internal combustion engine fuel.
D) electrical conductor in a computer circuit.
A wire bent in the form of a semi circle encloses an area of 7700cm2. If the same wire is bent into a square, calculate the area enclosed by the square
please hurry and answer fast..thank uuu so much
Answer: 8100 cm2
Step-by-step explanation:
First find radius
Area of semi circle = Pi*r2 / 2
7700 = 22/7 * r2/2
r2 = 7700 * 7 * 2 / 22
r2 = 700 * 7
r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)
r = 7 x 10
r = 70 cm
Perimeter = r(Pi + 2)
= 70 ( 22/7 + 14/7)
= 70 * 36/7
= 360 cm
Let us take side of square as “x”
4x = 360
x = 360 / 4
x = 90
Area of square = side * side
= 90 * 90
= 8100 cm2
A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.
The area of the enclosed square wire is 3025 square meters
The given parameters are:
[tex]\mathbf{Area= 7700cm^2}[/tex]
The area of a semicircle is
[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]
Substitute 7700 for Area
[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]
Express pi as 22/7
[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]
Divide through by 22
[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]
Multiply both sides by 14
[tex]\mathbf{r^2 = 4900}[/tex]
Take square roots of both sides
[tex]\mathbf{r = 70}[/tex]
Next, calculate the circumference of the semicircle
[tex]\mathbf{C = \pi r}[/tex]
So, we have:
[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]
[tex]\mathbf{C = 220}[/tex]
This means that the length of the wire is 220 meters.
This also represents the perimeter of the square.
The perimeter of the square is calculated using:
[tex]\mathbf{P = 4L}[/tex]
Where L represents the side length
So, we have:
[tex]\mathbf{4L = 220}[/tex]
Divide both sides by 4
[tex]\mathbf{L = 55}[/tex]
The area of the enclosed square is then calculated using:
[tex]\mathbf{Area = L^2}[/tex]
So, we have:
[tex]\mathbf{Area = 55^2}[/tex]
Evaluate the square
[tex]\mathbf{Area = 3025}[/tex]
Hence, the area of the enclosed square wire is 3025 square meters
Read more about areas at:
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Which fraction is larger? 2/3, 3/4, 3/5, 5/7
A: 2/3 B: 3/4 C: 3/5 D: 5/7
Can someone help me?
Answer:
CD = 32 units
Step-by-step explanation:
The midpoint divides the segment into congruent parts:
CM = MD
8(x -2) = 4(5x -16)
2(x -2) = 5x -16 . . . . . . divide by 4
2x -4 = 5x -16 . . . . . . . eliminate parentheses
12 = 3x . . . . . . . . . . . . . add 16-2x to both sides
4 = x . . . . . . . . . . . . . . . divide by 3
Then the segment measures are ...
CM = 8(x -2) = 8(4 -2) = 16
CD is twice that length. CD = 32 units.
_____
Additional comment
There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...
8x -16 = 20x -64
Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.
Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."
pls help ill give brainliest
I need help getting the answer to this -71+blank=21
Answer:
It is Positive 92
Step-by-step explanation:
-71 + 92 = 21
there are 24 apples how many Sims can even wish are these apples
Answer:
6applies
Step-by-step explanation:
because 24 apples+6=30 right right right
Match the Definition with the Property.
Question 3 options:
Commutative Property
Symmetric Property
Transitive Property
Reflexive Property
Associative Property
1.
The order in which you add or multiply numbers does not affect the result.
2.
The way you group numbers when adding or multiplying does not affect the result.
3.
Any real number is equal to itself:
a = a
4.
Let's you switch the expressions on either side of an equation:
If a = b, then b = a
5.
If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first real number must equal the third:
If a = b and b = c, then a = c
Answer:
Commutative Property
The way you group numbers when adding or multiplying does not affect the result.
Reflexive Property
he order in which you add or multiply numbers does not affect the result.
Step-by-step explanation:
Last minute homework due please help.
Answer:
8. 124 degrees
9. 48 degrees
10. 55 degrees
11. 120 degrees
12. 50.5 degrees
13. 118.7 degrees
umm i have an answer but not sure help
Answer:
tan A = 8/15
sin A = 8/17
cos A = 15/17
Step-by-step explanation:
Follow "SOH-CAH-TOA"
SOH---> sin A = (opposite of the angle mentioned) / hypotenuse
CAH---> cos A = (adjacent of the angle mentioned) / hypotenuse
TOA---> tan A = (opposite of the angle mentioned) / (adjacent of the angle mentioned)
Note: Hypotenuse is the side opposite of 90° of a right-angled triangle.
Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!
Answer:
Answer is C noumber
Step-by-step explanation:
We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).
The formula for the number of combinations of n things taken r at a time is given by :-
C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=
k!(n−k)!
n!
Hence, C is the right option.
PLEASE HELP NEED TO GET THIS RIGHT WILL GIVE BRAINLIEST
Answer:
27 / 4x^6y^8.
Step-by-step explanation:
= 4 * 3^3 x^6 y^12 / 16 x^12 y^20
= 4*27 / 16 x^6y^8
= 4*27/ x^6y^8
= 27 / 4x^6y^8
solve this equation:
x+9=23
Answer: 14
Step-by-step explanation:
x + 9 = 23
-9 -9
x = 14
Do you know what the variables could be
Answer:
5, 7, and 12
Step-by-step explanation:
First we can make and equation
x + z + y = 24
we can plug in the numbers you gave us giving us
y = x + z
z = y - x
x = (y - 2) ÷ 2
Once, were done we get that x = 5 ≈ smallest number
z = 7 ≈ second largest number
y = 12 ≈ largest number
is h correct? someone help
Answer:
No The correct Answer is "G"
Step-by-step explanation:
First lets find 300% as a number which is 3 ok so now
increase 10 by 300%
so 100%+300%=400%
and half of 400 which is 200%
so H is no correct g is
Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.
Answer:
The slope of the model represents the amount of snow(in inches) added to the ground per hour
the y-intercept represents the beginning amount of snow already on the ground
Step-by-step explanation:
will give brainliest no files.
Answer: it don't show the picture for me but can i plz have brainliest i never had it
Step-by-step explanation:
Help Please please please
pls help me with this question
Remainder Theorem: When f(x) = ax³ + 7x² - 7x - 3 is divided by x - 1, the remainder is 7. Find the value of the constant (a)
I NEED AN ANSWER AS FAST AS POSSIBLE!!
Find the equation of the line that goes through the points (4, –1) and (2, –5).
Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.
m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.
b =
Write the equation in slope-intercept form, y = mx + b.
Answer:
y= 2x -9
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]
Slope
[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]
[tex] = \frac{ - 1 + 5}{2} [/tex]
[tex] = \frac{4}{2} [/tex]
= 2
Substitute m= 2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= -1,
-1= 2(4) +c
-1= 8 +c
c= -1 -8
c= -9
Thus, the equation of the line is y= 2x -9.
PLEASE HELP ME FAST IF YOU CAN
Answer:
1. 180°
2. m∠AOB
3. 60° + 90 ° + 30 ° = 180 °
4. x = 15
Step-by-step explanation:
Reason for number 1:
All straight lines are 180°
Reason for number 2:
These angles all add up to 180° and the line with this angle is m∠AOB.