Step-by-step explanation:
In response to this question,
When solving a linear equality, one difference that we must keep in mind other than replacement of = sign with some equality sign is that when we do multiplication or division with a negative number, we are then required as a must to change the direction of the inequality sign.
What is the equation of the line that is perpendicular to
the given line and passes through the point (3,0)?
A. 3x+5y=-9
B.3x+5y=9
C.5x-3y=-15
D.5x-3y=15
Answer:
answer is D
shown below
The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the points as (-3, 2) and (2, -1).
So, the slope of line
slope = (-1 -2)/ (2 -(-3))
slope = -3/5
So, the slope for the perpendicular line is
slope= 5/3
Now, using the slope intercept form
y= mx+ b
y= 5/3x + b
and, the line passes through (3, 0)
0= 5/3(3)+ b
b= -5
Then, the equation of line is
y= 5/3x -5
3y - 5x = -15
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what is 143x+4=12 please help
If the statement is rewritten as a conditional statement in if-then form, which best describes the conclusion?
A student who earns 85% earns a B.
O If a student earns 85%
O If a student earns a B
O Then a student earns 85%
O Then a student earns a B
Answer:d
Step-by-step explanation:
HELP ME PLEASE ECPLAIN WHY
Answer:
A≈110.11
using formula 1/4[tex]\sqrt5(5+2\sqrt5)a2[/tex]
Step-by-step explanation:
What is the value of x?
1/4x + 17 = x - 4
Please explain:
Answer:
x=28
Step-by-step explanation:
ew.pat
100%
Aubrey is saving up to buy a new jacket. She already has $85 and can save an
additional $7 per week using money from her after school job. How much total
money would Aubrey have after 8 weeks of saving? Also, write an expression that
represents the amount of money Aubrey would have saved in w weeks.
I
Aubrey can save $7 per week, so she can save $7 x 8 or $56
in 8 weeks. Because she already had $85 to begin with, the
total amount saved would be $56 + $85 or $141.
Answer:
[tex]Total\ Savings = 85 + 7 w[/tex] --- In w weeks
[tex]Total\ Savings = \$141[/tex] --- In 8 weeks
Step-by-step explanation:
Given
[tex]Available\ Amount = \$85[/tex]
[tex]Weekly\ Savings = \$7[/tex]
[tex]Number\ of\ weeks = 8[/tex]
Required
Determine the amount of savings in w weeks
This can be calculated as thus:
[tex]Total\ Savings = Available\ Amount + Weekly\ Savings * Number\ of\ weeks[/tex]
In this case;
w = Number of weeks
So, we have:
[tex]Total\ Savings = 85 + 7 * w[/tex]
[tex]Total\ Savings = 85 + 7 w[/tex]
When w = 8, we have
[tex]Total\ Savings = 85 + 7 * 8[/tex]
[tex]Total\ Savings = 85 + 56[/tex]
[tex]Total\ Savings = \$141[/tex]
Find the values of c and d
[tex]36 + 3c = 90 \\ 3c = 90 - 36 \\ 3c = 54 \\ c = 18[/tex]
[tex]5d + 10 = 90 \\ 5d = 90 - 10 \\ 5d = 80 \\ d = 16[/tex]
A truck rental company rents a truck for one day by charging $39 plus $1 per mile. Write a linear model that relates the cost C, in dollars, off the renting truck to the number of M miles driven.
Answer:
1m+39c=y
Step-by-step explanation:
solve for the equation 6x+14=7x+8
Answer:
x = 6
Step-by-step explanation:
For this problem, we simply will isolate the x to find the value of x:
6x + 14 = 7x + 8
6x + -6x + 14 = 7x + -6x + 8
14 = x + 8
14 + -8 = x + 8 + -8
6 = x
Hence, x = 6.
Cheers.
Answer:
x=6
Step-by-step explanation:
First, subtract 6x from both sides to get:
14=x+8
Now, subtract 8 from both sides to get x alone:
6 = x
what is more -14.2 or -6.8
Answer:
-6.8
Step-by-step explanation:
it is closer to 0 and so it is more than the -14.2
The student council needs posters for the winter carnival the print shop charges $15 for each print job each poser will cost an additional 1.35 what equation shows the realationship
Answer:
Step-by-step explanation:
C = 1.35n + 15
Hi May I know how to solve this question
Solve |x + 3| = 7.
A. x= -4
B. x= 10
C. x= 4
D. x= -10
Answer:
C. x= 4
Step-by-step explanation:
|x + 3| = 7
x + 3 = 7
x = 7 - 3
x = 4
Answer:
x = 4
Step-by-step explanation:
|x + 3| = 7
=> x + 3 = 7
=> x = 7 - 3
=> x = 4
Can anyone help me with number 5?
Answer:
a
Step-by-step explanation:
4. What is the value of the expression 3/12÷2/5
Answer:
(3/12)=0.25
(2/5)=0.40
(0.25/0.40)=0.625
Step-by-step explanation:
PLEASE HELP
Point A is at (1,5) and point C is at (-5, – 7).
Find the coordinates of point B on AC such that AC is 6 times as long as AB.
Answer:
(0,3)
Step-by-step explanation:
This is a problem from affine geometry, so doesn’t need any concept of distance that mixes x and y coordinates. We can just take each coordinate separately.
(1,5),(−5,−7),(,),=6
Usually in these sorts of problems with unknown B we’re given the ratio AB:BC; here we have the slightly unusual and easier AB:AC.
The difference of the given points −=(6,12) .
Since =6 we know −=16(−)=(1,2)
So =−(1,2)=(1,5)−(1,2)
=(0,3)
Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
Answer: She should us a ratio of 1:5 for grapes to blueberries
Step-by-step explanation:
Blueberries are a lot smaller than a typical grape, hence you should have 5 blueberries for every grape. Hence, the 1:5 ratio.
Answer:
(C)
Step-by-step explanation:
12:3
Leah is paid semimonthly. How many fewer paychecks does she
receive in 2 years compared to someone who is paid weekly?
Answer:
Leah has 80 less paychecks than the weekly person.
Step-by-step explanation:
Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.
Is the following number rational or irrational?
6 1/2
Answer:
yes it is a rational number
Step-by-step explanation:
if we convert the mixed fraction into an improper fraction, we will get:
6 1/2 = 13/2
Recall that the definition of an Rational number is that it can be expressed as a division of two integers.
in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)
hence according to our definition it is a rational number
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The mixed fraction number is given below.
⇒ 6 1/2
Convert the mixed fraction number into the fraction number. Then we have
⇒ 6 1/2
⇒ 6 + 1/2
⇒ (12 + 1)/2
⇒ 13/2
Convert the fraction number into a decimal number. Then we have
⇒ 13/2
⇒ 6.5
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
More about the rational number link is given below.
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Solve the following equation for x. Show each step.
5x + 2 = 3x + 4(2x - 1)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Start with:
[tex]5x+2=3x+4(2x-1)[/tex]
Distribute the [tex]4[/tex] into [tex](2x-1)[/tex]:
[tex]5x+2=3x+8x-4[/tex]
Combine like terms:
[tex]5x+2=11x-4[/tex]
Add [tex]4[/tex] to both sides of the equation:
[tex]5x+6=11x[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]6=6x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]6[/tex]:
[tex]1=x[/tex]
or
[tex]x=1[/tex]
Does noone know this ://?
calculate 4 cm as a percentage of 42 cm
0.0952% ≈ 10%
Step-by-step explanation:Hi !
42 cm ............... 100%
4 cm .......................x%
x = 4×100/42 = 400/42 = 0.0952% ≈ 10%
Good luck !
Find three consecutive integers such that the sum of the 1st and 3rd is 60.
a decimal number in which a digit or group of digits
repeats without end
Answer:
that is called a repeating decimal.
Step-by-step explanation:
Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.
Answer:
4.8
Step-by-step explanation:
24/5 = 4.8
A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.
A rational expression to represent the amount of juice in each cup is 24/5.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
Given, Kim divided 24 ounces of orange juice into 5 cups.
Therefore, the amount of juice in each cup is:
24/5
Hence, a rational expression to represent the amount of juice in each cup is 24/5.
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half a number decreased by three is equal to 38 less than four times the number
Answer:
10
Step-by-step explanation:
let the unknown number be x
so half of x decreased by 3 is
1/2x -3
It is equal to 38 less than 4 times the number which is x; 4x-37
THEREFORE;
½x-3 =4x -38
x-6/2 = 4x-38
cross-multiply
x-6 =8x -76
x-8x = -76+6
-7x = -70
Divide both sides by -7
So x =10
PLEASE HELP FAST! 50 POINTS!
A three digit number when divided by 5 has an even quotient. When it is divided by 3, it also has an even quotient.
A, What is the digit in the one's place?
B, What can the number be?
Answer:
A. 0
B. there are many options for this but just some examples are
120, 150, 180, 210, 240, 270, 300, 330, 360, 390
Step-by-step explanation:
the rest of the options are
420, 450, 480, 510, 540, 570, 600, 630, 660, 690,
720, 750, 780, 810, 840, 870, 900, 930, 960, 990.
36=q^2 Find the solution to the equation
Answer:
i think its 18
(also if you dont mind can you please help me with my question)
Beach Bicycles sells two-seater bicycles. Its markup rate is 68%. Which equation represents the new price for a bicycle, y, given an original price, x?
Answer:
y = 1.68x
Step-by-step explanation:
The markup rate of a product or service refers to how higher the selling price is than the total production cost. In this case, this company doesn't produce the bikes, instead it purchases them from a wholesaler, distributor or even the factory, and then resells them in order to make a profit.
E.g. Beach Bicycles purchases two-seater bikes at $200 each, and then it will resell them to their customers at 1.68 x $200 = $336. The total markup in this example is $136, which represents $136/$200 = 68% of the purchase price.
To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership
fee, plus $10 for each hour you use the facilities. a) The function f represents the
cost of playing soccer at Sun Oaks depending on how many hours you play. The
function g represents the cost if the hourly rate were halved. Write each
function. *
Given that:
Membership feet to play indoor soccer at the Sun Oaks Club = $100
Hourly rate = $10
To find:
The function f represents the cost of playing soccer at Sun Oaks.
Here, fixed cost is $100.
Let the number of hours of playing be t. So, total variable cost is $10t.
Total cost = Fixed cost + Variable cost
[tex]f(t)=100+10t[/tex]
So, the required function is [tex]f(t)=100+10t[/tex].
Now, if the hourly rate were halved. Then,
Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]
So, total variable cost is $5t and total cost function is
[tex]g(t)=100+5t[/tex]
So, the required function is [tex]g(t)=100+5t[/tex].
HELP PLS WILL GIVE BRAINLISTE
Answer:
6%
Step-by-step explanation:
:0
Answer:
25%
Step-by-step explanation:
i did a quiz on this the right answer is 25%