Answer:
k = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
15 - 3k = 10(k - 5)
Step 2: Solve for k
Distribute 10: 15 - 3k = 10k - 50Add 3k to both sides: 15 = 13k - 50Add 50 to both sides: 65 = 13kDivide 13 on both sides: 5 = kRewrite: k = 5Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 15 - 3(5) = 10(5 - 5)Subtract: 15 - 3(5) = 10(0)Multiply: 15 - 15 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:
k=5
Step-by-step explanation:
1. Apply distributive property: 15-3k=10k-50
2. Bring all variables to one side: 15-3k=10k-50
+3k +3k
15=13k-50
3. Isolate K by bring the term in it's way to the other side: 15=13k-50
+50. +50
65=13k
4. Isole your variable by divide by 13: 65=13k
65/13 13/13
5=k
HELP PLEASE Can you please give an explication when you answer
The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C
Answer:
C. 6°C
Step-by-step explanation:
-3°C + 9°C = 6°C
In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF
It is possible to get 2 solutions when the system of equations is: (check all that apply)
A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation
Answer:
5 hours
Step-by-step explanation:
39 - 14 = 25
5 x 5 = 25
14 + 25 = 39
Answer:
5 hours
Step-by-step explanation:
John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.
Start by setting the equation,
$39.00= $5x + $14.00
Then solve by
1) subtracting 14 from both sides;
39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;
39 -14 = 5x becomes $25= 5x (39 -14 =25)
2) divide both sides by 5 to get x alone
25 (/5)=5x (/5) which becomes 25/5=x
3) 25/5 is 5
John must work 5 hours to have enough money to buy his video game.
Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
proper fraction
Step-by-step explanation:
1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.
Answer:
1. 80%.
2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)
Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?
Answer:
11 months
Step-by-step explanation:
Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.
Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.
He needs $550, to the equation is:
50x=550
We need to isolate x, so we divide both sides by 50.
x=11
It will take Nate 11 months to save for the trip.
Answer:
11 months
Step-by-step explanation:
850-300=550
550÷50=11
( − .3 s − 2 ) + 2 ( 5 − 3.4 s )
Answer:
−7.1s+8
Step-by-step explanation:
First Distribute
=−0.3s+−2+(2)(5)+(2)(−3.4s)
=−0.3s+−2+10+−6.8s
Combine Like Terms:
=−0.3s+−2+10+−6.8s
=(−0.3s+−6.8s)+(−2+10)
=−7.1s+8
Answer:
−
7.1
s
+
8Step-by-step explanation:
−7.1s+8
Will give brainliest if correct.
Answer:
y=(-9-2x)/3
Step-by-step explanation:
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth
The answer is A. y=-3/4x+1/4
The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let the required equation of the line would be as:
y - y₁ = m(x - x₁)
Since the line passes through the point (–5, 4) and slope m = -3/4
So substitute the values in the above equation, and we
y - (-5) = (-3/4)(x - 4)
y + 5 = (-3/4)x - (-3/4)4
y + 5 = (-3/4)x + 3
y = (-3/4)x + 3 - 5
y = (-3/4)x - 2
Thus, the required equation of the line is y = (-3/4)x - 2.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
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What is the solution to the equation?
Answer:
-63
Step-by-step explanation:
Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.
Answer:
C. The domain is greater than -3 and less than 7.
Step-by-step explanation:
Just like the other one
x is domain
< = less than
≤ = less than or equal to
Answer:
c
Step-by-step explanation:
should b. cause most true usagw 'the domain'
good luck
Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025
its a because .25x4=1.00
Answer:
B. 1/4 and 0.0025
Step-by-step explanation:
PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !
Answer:
2nd Option
Step-by-step explanation:
Need help will mark brainliest
0Answer:
1) Exterior Angle Therorem
2) Isosceles Triangle Theorem
Step-by-step explanation:
Solve by the substitution method.
-3x – 3y = 3
y=-5x – 17
Answer:
postive 6
Step-by-step explanation:cause negative plus a negative equals a postive
solve for x:x+3.17=12.78
I need help with this slope problem
Answer:
what is it? you did not post the picture
PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U
In parallelogram WXYZ, the shorter sides are half the length of the longer sides.
Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.
Which statements are true? CHECK ALL THAT APPLY.
A. Quadrilateral WXYZ is a rectangle.
B. The quadrilateral has opposite sides that are parallel.
C. The quadrilateral has opposite angles that are congruent.
D. If W X = 12 in., then X Y = 6 in.
E. Side WZ must be 12 inches.
F. mAngle Z = measure of angle X
G. Measure of angle W = 120 degrees
H. Measure of angle Z = 120 degrees
Answer:
B
E
H
I think this is right
For the given parallelogram following statements are true
B. The quadrilateral has opposite sides that are parallel
F. Measure of angle Z = Measure of angle X
G. Measure of angle of W =120 degrees
What is parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides
Given,
Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W
Draw the figure using the the data
Using the figure we can say that
The quadrilateral has opposite sides that are parallel
Measure of angle Z = Measure of angle X
Measure of angle of W =120 degrees
Hence, the correct options are B,F and G
Learn more about parallelogram here
https://brainly.com/question/1563728
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use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24
Step-by-step explanation:
It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.
If you divide 6 by 1/4, you will get 24.
If you divide 4 by 1/6, you will get 24.
How to create 1/4 from 1,3, and 4?
How to create 1/6 from 1,3, and 6?
Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!
So, the answer is 6/[1–3/4]=24.
whats 851,708 to the nearest hundred-thousand
Answer:
900,000
Step-by-step explanation:
because when you round number from 1-4 you put it down example: 1223
round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000
Answer:
900,000
Step-by-step explanation:
Bc The Ten Thousandths place is over 4
Graph the equation.
y-1 = -2(x-2)
Answer:
y-1 = -2(x-2) graph:
Answer:
Graph is below
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
2
y-intercept:
(
0
,
5
)
x
y
0
5
5
2
0
help i’m timed pllzzzzz
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
If the sinø=7/12, what is cosø?
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
what is 7-3+6+x equal ??
Answer:10+x
Step-by-step explanation:
(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8
See image attatched below for the options given
Answer:
it the first one cause you adding so it 8b plus 2
Help, Its due in 15 minuets!
Answer:
All Congruent Angle Pairs
1) ∠1 and ∠3 are congruent **
2) ∠2 and ∠4 are congruent
3) ∠6 and ∠8 are congruent
4) ∠5 and ∠7 are congruent
5) ∠1 and ∠7 are congruent
6) ∠2 and ∠8 are congruent **
7) ∠3 and ∠5 are congruent
8) ∠4 and ∠6 are congruent **
Step-by-step explanation:
1) Vertical pairs
2) Vertical pairs
3) Vertical pairs
4) Vertical pairs
5) Alternate exterior angles
6) Alternate exterior angles
7) Alternate interior angles
8) Alternate interior angles
the pairs are
< 1 and < 3
< 4 and < 5
I think 2 and 8
what is the answer for x?
Answer:
x=5
Step-by-step explanation:
I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.
Hope this helped you : )
87% of 70 do not round
Answer:
60.9
Step-by-step explanation: