Answer:
The coordinates of C are (8,2)
Step-by-step explanation:
We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.
This means that:
[tex]d_{AC}=3/4\cdot d_{AB}[/tex]
where dAC is the distance from A to C and dAB is the distance from A to B.
The same proportion of the distances is satisfied by the coordinates of the point C, that is:
[tex]\displaystyle x-x_A=\frac{3}{4}(x_B-x_A)[/tex]
Adding xA:
[tex]\displaystyle x=\frac{3}{4}(x_B-x_A)+x_A[/tex]
[tex]\displaystyle x=\frac{3x_B+x_A}{4}[/tex]
Similarily:
[tex]\displaystyle y=\frac{3y_B+y_A}{4}[/tex]
Calculating:
[tex]\displaystyle x=\frac{3(12)-4}{4}[/tex]
x = 8
[tex]\displaystyle y=\frac{3(5)-7}{4}[/tex]
y = 2
The coordinates of C are (8,2)
Place the following steps in order to describe how to solve the following equation?!
Carlo is buying gas for his car. The gas costs $2.75 per gallon, and Carlo buys 9.8 gallons. How much did Carlo spend on gas?
Answer:
26.95
Step-by-step explanation:
you have to multiplies 9.8 ×2.75
write the algebraic expression that represents the following
b. Five less than the quotient of nine and a number
c. One half of the sum of six times a number and twenty-two
d. Nine less than twice the difference between a number and seven
e. Eleven less than a number squared
Answer:
9x -5
1/2(6x +22)
2(x-7)-9
x2 -11
Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
Answer:
b= -1
Step-by-step explanation:
Graph the point and use the slope until you intercept the y-axis
Answer:
-1
Step-by-step explanation:
Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost after the markup
Answer:
$12.80
Step-by-step explanation:
Before markup: $8
After markup: $8 x 160% = $12.80
This is a topic on percentage. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I've uploaded this topic's notes and will continue to upload more with tips as well!
in the expression shown below, the number 2 and 5 that are place in front of the variables are called
2x^2+5x-3
A. Degrees
B. Polynomials
C. Coefficient
D. Radicals
Six tiles lettered B, A, N, A, N, and A are lying facedown on a table. A tile is selected, the letter is recorded, the tile is replaced, and the
process is repeated.
What is the theoretical probability of selecting the letter A?
1/2
1/6
2/5
1/3
Hello there wish you a GREAT Thanksgiving :)
If there are 3 A's out of 6 letters, then it's 1/2 or 0.5
solve 4/r = 5/20 will mark brainliest
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16
How many times bigger is 2 1/4 than 2
Answer:
1 1/8
Step-by-step explanation:
Divide 2 1/4 by 2.
Create a 5th degree trinomial that has a constant term of 3.
Answer:
[tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.
Step-by-step explanation:
Considering the trinomial
[tex]4x^5\:+\:9x^2\:+\:3[/tex]
As the polynomial contains 3 terms, so it is a trinomial.
As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.
Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.
Therefore, [tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.
There are approximately 7.5 x 10^18 grains of sand on earth. There are approximately 7x10^27 atoms in and average human body. Are there more grains of sand on earth or atoms in a human body?
There are more atoms in a human body because 7.5*10^18 is less than 7*10^27.
evelyns yoga class has 50 participants. its rules require that 60% of then must be present for a class. If not, the class will be canceled. At least how many participants must be present to have a class
Answer:
30
Step-by-step explanation:
50*(60/100)
=50*(3/5)
=30
PLS GIVE BRAINLIEST
The minimum number of participants will be 30
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Evelyn's yoga class has 50 participants. its rules require that 60% of them must be present for a class. If not, the class will be cancelled.
The minimum number of participants will be calculated as,
Number = 50 x (60/100)
Number = ( 5 x 6 )
Number = 30
To know more about percentages follow
https://brainly.com/question/24304697
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1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks
I cant figure it out-
You know that the popcorn cost $5.00 so the drinks would cost $2.50 each. So when you plot the points you would reach $10.00 for popcorn and have $5.00 for drinks. $15.00 for popcorn and $7.50 for drinks.
Step-by-step explanation:
Judy has $30 to spend.
The price per bag of popcorn is $5.
The price per drink is $2.50.
is your equation
WILL GIVE BRAINLIEST!! Need answers!!! Solve
1. -2x = -8
2. -2x - 4 = -18
3. 3 (x -4) = -18
4. (X-5) = -7
5. 2 (2x-4) = -16
Answer:
1. x=4
2. x=7
3. x=-2
4. x=-2
5. x=-3
Step-by-step explanation:
1. Divide both sides by -2 to get x by itself
-2x/-2=-8/-2....
x=4
2. Add 4 to both sides and then divide by -2
-2x-4+4=-18+4
-2x/-2=-14/-2
x=7
3. Distribute, add 12 to both sides and then divide by 3
3x-12=-18
3x-12+12=-18+12
3x/3=-6/3
x=-2
4. Add 5 to both sides
x-5+5=-7+5
x=-2
5. Distribute, add 4 to both sides, divide both sides by 4
4x-4=-16
4x-4+4=-16+4
4x/4=-12/4
x=-3
Identify the number of solutions or zeros:
f(3) = 23 – 3.75 +27 – 9
3
1
5
7
Answer:
3
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Answer:
3
Step-by-step explanation:
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $25 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has a $12 monthly fee and charges an additional $0.14 for each minute of calls For how many minutes of calls will the costs of the two plans equal
Answer:
The amount of minutes of calls in which the costs of the two plans equal is 325.
Step-by-step explanation:
To be able to find the amount of minutes of calls in which the cost of the two plans equal, you have to write an expression in which the price of the first and the second plan are the same an solve for the number of minutes:
25+0.10x=12+0.14x, where x is the number of minutes of calls.
Now, you can solve for x:
25-12=0.14x-0.10x
13=0.04x
x=13/0.04
x=325
According to this, the answer is that the amount of minutes of calls in which the costs of the two plans equal is 325.
4) Rosemary had $25 to spend on school supplies. She buys 4
packages of mechanical pencils. After her trip to the store, she onl
has $1 left. How much did each pack of pencils cost?
Answer:
Each pack costed 6 dollars
Step-by-step explanation:
Answer:
Each pack costs 6 dollars
Step-by-step explanation:
4x+1=25
4x=24
X=6
please help. its on ratio
anyone please help me
Answer:
D
Step-by-step explanation:
The perpendicular equation can be found by getting the reciprocal of the slope then multiplying it by -1. The slope is the "m" value of y=mx+b; in this case, the slope is [tex]\frac{2}{5}[/tex].
To find out if it is C or D, you plug in the x value given in the equation (2) and see if it equals the y value given in the equation (-2). C is incorrect, which means that D is correct.
Answer:
The answer is D
Step-by-step explanation:
2(15+6y)+5y=9 someone help me
Answer:
y=-21/17
Step-by-step explanation:
Answer:
y= - 21/17
Step-by-step explanation:
Rearrange terms:2(15+6y) +5y =9
2(6y+15)+5y=9
Distribute:2(6y +15) +5y=9
12y+30 + 5y = 9
Combine like terms:12y+30+5y =9
17y+30 =9
Subtract 30 from both sides:17y+30 =9
17y +30 -30 =9-30
Simplify:17y=-21
Answer:y=-21/17
What is the value of a?
Step-by-step explanation:
The value of a is 3 million points
Answer:
What is the question, so we can help you.
Step-by-step explanation:
Please someone helpppppppppppppppp I’m stuck >:(
Answer:
A) 1325 lbs. B) 10s+15l
Step-by-step explanation:
One small box: 35 lbs (s)
One large box: 65 lbs (l)
If you want to find the total weight for 10 small boxes and 15 large boxes, set up the equation.
10s+15l. This equation is also the answer to part B.
We already know s and l (the weights of the boxes) so plug the values in.
we get:
350+975.
Now add them to get the total weight.
The total weight is 1325 lbs.
A train travels 200 miles in 5 hours. How far does the train travel in 3 hours
Answer:
120 miles
Step-by-step explanation:
200/5 = 40 miles per hour
3 hours = 40*3 = 120 miles
PLS GIVE BRAINLIEST
What is the slope of y = 4x? *
Please Brainliest me!
The slope of y=4x is 0,4 PLEASE BRAIN ME!
what is the anwser
-4+3(x+4)=-4+5x
Answer:
x = 6
I hope this helps!
Madison was driving at 60 mph and traveled a distance of 242 miles to get to Grandfather Mountain. About how long did it take her to get there?
Answer:
About 4 Hours
Step-by-step explanation:
60 X 4 = 240
You have 2 extra miles so it would be a little extra time.
What is the solution to this problem and what did he do wrong? 4(x + 2) = 2 (x – 3) – 5x
Answer:
-2
Step-by-step explanation:
Answer:
it is wrong because he forgot to subtract the 5x
Step-by-step explanation:
I think this right I really hope it is though :-)
Help me<3. Its maph ugggggg brain hurt......*dieing noises*
Step-by-step explanation:
There are several ways to solve this, but the only one I remember how to do is with the pythagorean theorem. The distance between A and B is the same as a hypotenuse of a triangle with a height the absolute value of y1-y2 and a base of the absolute value of x1-x2.
For example, in the first question, the coordinates are (1,2) and (9,8), so we have a triangle with base 8(9 - 1) and 6(8 - 2). Now we just need to plug that into the pythagorean theorem like so:
[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]
or plugging our numbers in,
[tex]8^{2} + {6}^{2} = 100[/tex]
The answer is the radical of the answer, in this case 10.
So if this makes sense, go ahead and try to work the next three out on your own, and if you still need help let me know <:
Hope this helps Bucke!
If you have 5\6 of a cup of flour, how many twelfths do you have
Answer:
10/12
Step-by-step explanation:
Multiply 5/6x2/2
Please help me!!!! I will mark as brainlist!!
Answer:
117 i think
Step-by-step explanation:
because you need to find the distance from a to b which is 13 units
then you need to find the distance from b to c which is 9 units
and then 9 x 13 is 117