3x + 2 y = 8
5x + 2 y = 12
What is the solution of the system of equations shown above?
Answer:
x = -3
Step-by-step explanation:
First solve it:
Subtract the x's from both sides
2y = -3x +8
2y = -5x +2
Divide by two
y= -1.5x + 4
y = -2.5x +1
set them equal to each other:
-1.5x +4 = -2.5x +1
Add 2.5 x to both sides
1x +4 = 1
x +4 = 1
subtract 4 from both sides
x = -3
What is the answer to x - 10 + -6 + 4
Answer: x-12
Step-by-step explanation:
Simplify.
x
−
1
0
−
6
+
4
x−10−6+4
2 Collect like terms.
x
+
(
−
1
0
−
6
+
4
)
x+(−10−6+4)
3 Simplify.
x
−
1
2
x−12
i am dumb pleasle help
The ratio of white socks to brown socks is
Answer:
3:2 is the ratio.
Step-by-step explanation:
4(x+8)+9(6-2x)
plz explain me step by step plz answer me fast
Answer:
86-14x
Step-by-step explanation:
4(x+8)+9(6-2x)
4x-18x+54
4x-18x+86
-14x+86
86-14x
HELPPP . sorry for cracked. screen.. Identify w as either rational or irrational
, and approximate to the tenths place. (4
points)
Answer:
Irrational: √2 = 1.4
Step-by-step explanation:
(2,8),(7,8) slope of the line
Answer:
The slope of line is 0 given points (2,8)(7,8)
Step-by-step explanation:
We need to find slope of line given points (2,8),(7,8)
The formula used to find slope of line is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given:
[tex]x_1=2, y_1=8, x_2=7 \ and \ y_2=8[/tex]
Finding slope using formula:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-8}{7-2}\\Slope=\frac{0}{5}\\Slope=0[/tex]
So, the slope of line is 0
i am currently struggling on number 5
Answer:
7 and 5 also 3 probably I guess
An object travels in a straight line for 1200 m in 20 seconds. What is the average velocity? *
Answer:
Velocity is 20
Step-by-step explanation:
well you divide the meters traveled by the time it took and you should get your answer.
1. divide 1200 by 20
2 answer should be 60
What is (1.7x10^4)x(8.5x10^-2) in standard form
Answer:
1.445 × 10³
Step-by-step explanation:
Standard form is a way of writing a small number or a large number easily.
We should give the final answer in standard form.
1) (1.7 × 10⁴) × (8.5 × 10⁻²)
We enter this directly into the calculator to obtain a solution.
= 1445
We write this in standard form we have :
1.445 × 10³
Answer:
1.445 × 10³ hope it helped goodluck!
15 is what percent of 90
three examples of equations where there will be no solution.
Answer:
5x = 3x
4+8t-y=y-t+8
98/r=34t
Step-by-step explanation:
hope this helps!
mark me brainliest plz!
find the value of x of given figure and solve this question step by step plzz help question number D
Answer:
x=15 cm
Step-by-step explanation:
The two triangles in the diagram are:
ABC and BDC
First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.
Hypotenuse is the largest side of a triangle which is usually in front of the right angle.
So in BDC
[tex]Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm[/tex]
Applying Pythagoras theorem:
[tex](Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm[/tex]
Solving for triangle ABC
[tex]Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\[/tex]
Applying Pythagoras theorem
[tex]AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm[/tex]
Hence,
x=15 cm
Given mn, find the value of x.
Answer: x = 15
we have: (6x - 5)° + (6x + 5)° = 180°
⇔ 12x = 180
⇔ x = 180/12=15
Step-by-step explanation:
How can I isolate the variable f in f/3 + 22 = 17
Answer: First You Have To Simplify The Equation From Both Sides Then Thats how You Will Determine what f is. F = -15
Variable [tex]f[/tex] is isolated as [tex]\boldsymbol{f=-15}[/tex] in the expression [tex]\frac{f}{3}+22=17[/tex].
VariableA variable is a symbol and placeholder for a changing amount or any mathematical object.
An algebraic expression is one that is composed of integer constants, variables, and algebraic operations.
Given expression is [tex]\frac{f}{3}+22=17[/tex]
Transpose [tex]22[/tex] to the right side of the equation.
[tex]\frac{f}{3}=17-22\\\frac{f}{3}=-5[/tex]
[tex]f=-15[/tex]
So, variable [tex]f[/tex] is isolated as [tex]\boldsymbol{f=-15}[/tex]
Find out more information about algebraic expression here:
https://brainly.com/question/2945451?referrer=searchResults
(W+4)(3w-2) please solveeed
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf (w+4)(3w-2)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf w(3w-2)+4 (3w-2)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3w^2-2w+12w-8[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3w^2+10w-8 [/tex]
On a loan of $3520.10, if the one-time simple interest was at 7.77% of the principal, how much interest was incurred?
Answer:
Step-by-step explanation:
3520.10*7.77%= $273.51
An estimate for - ✓ 72 is
A.- 8.1
b. - 8.5
c. -9.1
d. -9.5
Addition and Subtraction of Mixed Numbers.
8 7/8+(7 5/6−2 1/3)
Answer:
14 1/3
Step-by-step explanation:
First, you need to do what's in the parenthesis by finding a common denominator, which is 6. Multiply the 1 by 2 because that is what you multiply 3 by to get 6. You end up with 8 7/8 + 5 3/6. You then have to find the common denominator again, which is 24. Now the problem is 8 21/24 + 5 12/24. you get 13 32/24, which is equal to 14 8/24. Simplify, and you have 14 1/3.
In parallelogram ABCD, if AO = 4x + 12 and OC = 5x – 6 what is the
****length of AC (be careful)
Answer:
Step-by-step explanation:
The sides of a parallelogram are equal. If O is the midpoint of its diagonal AC, them AO+OC = AC
Given
AO = 4x + 12 and
OC = 5x – 6
Required
AC
AC = 4x+12 + 5x-6
AC = 4x+5x+12-6
AC = 9x+6
Hence the length of AC is 9x+6
Determine whether a quadratic model exists for each set of values. If so, write the model.
f(-2)=16, f(0)=0, f(1)=4
Answer:
[tex]f(x)=4x^2[/tex]
Step-by-step explanation:
Quadratic Model
The quadratic function can be expressed in the form:
[tex]f(x)=ax^2+bx+c[/tex]
Where a,b, and c are constants to be determined using the points through which the function passes.
We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.
Point (0,0):
[tex]f(0)=a*0^2+b*0+c=0[/tex]
It follows that
c=0
Point (-2,16):
[tex]f(0)=a*(-2)^2+b*(-2)+c=16[/tex]
Operating:
[tex]a*(4)+b*(-2)+c=16[/tex]
Since c=0:
[tex]4a-2b=16[/tex]
Divide by 2:
[tex]2a-b=8\qquad\qquad [1][/tex]
Point (1,4):
[tex]f(1)=a*(1)^2+b*(1)+c=4[/tex]
[tex]a*(1)+b*(1)+c=4[/tex]
Since c=0:
[tex]a+b=4\qquad\qquad [2][/tex]
Adding [1] + [2]:
2a+a=12
3a=12
a=12/3=4
a=4
From [2]
b=4-a
b=4-4=0
b=0
The model is:
[tex]\boxed{f(x)=4x^2}[/tex]
Solve the Inequality:
Answer:
z > 4
Step-by-step explanation:
- 2z - 3 < 5
- 2z < 5 + 3
- 2z < 8
z > - 4
Answer:
z > -4
Step-by-step explanation:
Please see the following attachment for step by step
Jordan weighed two buckets of sand for a geology project. The first bucket weighed 26.31 pounds. The other bucket weighed 4.39 pounds. How much do the two buckets of sand weigh all together?
Answer:
30.7
Step-by-step explanation:
b. Were you able to find the solution(s) of each Mathematical sentence? How did
you find the solution(s) of each Mathematical sentence?
pls,,, help me mga tol
Answer:
Evaluate each given numbers, expressions or equation.
Check the values or numbers.
Now in order to solve we proceed in the manner
Read the problem Analyze the problem Write the given variables Find the missing variables Write the equation Solve the equation
Will someone help me please please please please :D
Answer:
I believe it's C, 0.4 x 0.7
Step-by-step explanation:
if y⁻⁴ = 256 then y will be
Answer:
y = 1/4
Step-by-step explanation:
y⁻⁴ = 256
(1/y)⁴ = 256
y⁴ = 1/256
y = ⁴√1/256
y = 1/4
Thus, The value of y is 1/4
-TheUnknownScientist
Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct?
Answer:
Yes
Step-by-step explanation:
Because for every 8 feet of the original rectangles, it will be 3 feet on the scale model, therefore it is reducing.
Answer:
Elias is not correct, A scale factor of 8/3 is an enlargement because it is greater than 1.
A reduction has a scale factor between
0 and 1.
(Verified answer)
Jeremy's password is the combination of letters and numbers shown below. He
wants to know the ratio of letters to numbers in this password. Use Jeremy's
password to write the ratio THREE different ways. (Hint: think about the different
formats) 27 R Q A58 E 3 (plz help I know the problem mightseem long but not really)
Answer:
numbers:letters
5:4 (numbers:letters form)
Step-by-step explanation:
There are 5 numbers in the password and 4 letters
Hopefully this helps :)
2r-7 = r + 15,
Find R
Answer: 22
Step-by-step explanation:
2r - 7 = r + 15
2r - r = 15 + 7
2r = 22
r = 22/2
r = 11
When finding the slope of a line using a slope triangle, the____
length is divided by the____
length.
Answer:
rise, run
Step-by-step explanation:
When finding the slope of a line using a slope triangle, the RISE length is divided by the RUN length. (I think. Sometimes the "divided by" makes me confused about which is on top, but I'm pretty sure this is right.)
Read this introduction to a magazine article
What will most likely be included in the magazine
article that follows this introduction?
Summertime is near, and the lifeguard's whistle
beckons. It is almost time for the swimming season of
course, with swimming season comes slippery pool
decks and shallow water at the end of some docks And
there are always a few swimmers who overestimate
their skills or underestimate their fatigue
O the benefits of swimming
a technical description of strokes
water-safety suggestions
water-centered vacation destinations
Jp
Answer:
water-safety suggestions
Explanation:
We can make this conclusion because we notice this addition from the opening lines of the article, "Summertime is near, the lifeguard's whistle beckons.."
By such Inclusion, the article in other words is saying that since during summertime many people go swimming, it would be best to follow some water-safety suggestions. Therefore, it is most likely to be included in the magazine.
Answer:
water-safety suggestions
Step-by-step explanation: