Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1
Answer:
a scalar between 0 and 1
Step-by-step explanation:
i just took the test on EdG. :)
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
To answer the question, we need to know what scalars and vectors are
What are scalars?These are variables that have only magnitude.
What are vectors?These are variables that have both magnitude and direction.
Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.
So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.
So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
Learn more about vectors here:
https://brainly.com/question/25705666
#SPJ2
Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
the value of the store gift card?
Answer:
If the gift card is $30 the remaining change is 3 dollars
The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?
Answer:
$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)
Total: $78.17
Answer:
$78.19
Step-by-step explanation:
To find the total after the sales tax is charged you have to do
$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986 round*
Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)
Now to finish you add $67.99 +$10.20 = $78.19
Mr. Logan runs 3.7 miles each day. If he runs the same distance each day, about how many miles will Mr. Logan run in 7 days?
I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.
Answer:
x = 32.5
y = 65
Step-by-step explanation:
y = 65 degrees
65 and y are the base angles in an isosceles triangle ( single lines) so they are equal
y+z = 180 since they form a straight line
65+z = 180
z = 180-65
z = 115
The second triangle is also an isosceles triangle so the base angles are the same as shown by x
180 = x+x+z
180 =2x+ 115
65 = 2x
Divide by 2
x = 32.5
Jamaal is using a photo-editing computer program. He sets up the "F1" key to perform a 20% enlargement in both dimensions. He sets up the "F2" key to increase the picture size by 2cm in both dimensions. Then Jamaal sets up "F3" to do "F1" followed by "F2".
What is the equivalent function for a picture xcm by xcm?
A f3(x)=f2(f1(x))=1.2x+2
B f2 (x)+(fx+f1) (x)=2.2x=2
C f3 (x)=f1(f2(x))=1.2x+2.4
D f3 (x) = (f2 *f1)(x)=1.2x^2+2.4x
Answer:
A f3(x)=f2(f1(x))=1.2x+2
Step-by-step explanation:
The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x
Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.
So F2(x') = x" = x' + 2 = F1(x) + 2
F2(F1(x)) = x' + 2 = 1.2x + 2
F3(x) = F2(F1(x)) = 1.2x + 2
F3(x) = 1.2x + 2.
So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) = 1.2x + 2.
Please help me this question is hard
Answer:
I cant see
Step-by-step explanation:
Answer:
dont have an answer yet...question too small to see...
Step-by-step explanation:
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
can someone please help me with this question
Answer:
The area of the circle is 18.84.
Step-by-step explanation:
You multiply pi (3.14) by the radius of the circle, which is 6, to get the area of any circle.
Which of the following equations has a solution of x = 5
10x/2=1
2 (x – 3) + 8 = 6x – 18
2x – 5 + 3x = 8 + 14
O 4(1 - 2) + 3 = -2 (2 + 2) + 1
Answer:
equals 345762819
Step-by-step explanation:
i dont know for short i just want a points
if 22,x,y,31 are in ap. find the values of x and y
Answer:
x = 25, y = 28
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 22 and
a₄ = a₁ + 3d = 31 , that is
22 + 3d = 31 ( subtract 22 from both sides )
3d = 9 ( divide both sides by 3 )
d = 3
Thus
x = 22 + 3 = 25
y = 25 + 3 = 28
f/5n3+h=g (Solve the following equation for F)
Answer:
f = 5g/n^3 - 5h/n63
Step-by-step explanation:
Step-by-step explanation:.
It cost Aaron $6.72 to send 168 text messages. What is the cost of sending text messages, in dollars per text?
Answer:
$4
Step-by-step explanation:
If you remove the decimal from the cost and divide it by the number of text messages you get how much each individual message costs. (672 \ 168 = 4)
Which lines are parallel is m∠1 + m∠2 = 180? Justify your answer.
Step-by-step explanation:
i think the correct answer is j // k by the converse of the same side interior angles theorem
(+16) + (-32) =
A -12
B 14
C -16
Answer:
-16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
16+(-32)= -16
Which one of the relationships described is not proportional?
a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?
b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?
d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?
Answer:
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Step-by-step explanation:
i just did it
Is this the correct answer? Please someone help!!!
Answer:
yes
Step-by-step explanation:
same slope
Answer:
yes same slope
Step-by-step explanation:
2(x + 3) = 18
please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.
Answer:
6
Step-by-step explanation:
2(x+3)=18
2x+6=18
2x=12
x=6
Answer:
x = 6
Step-by-step explanation:
2(x + 3) = 18
2x + 6 = 18
2x = 12
x = 6
I don’t get it !!! Do I multiply by 4 to get the answer? Please show your work!
Answer:
Im not sure. but isnt the answer 15
Step-by-step explanation:
Because to find the shaded amount you would do 3x5 and get 15.
Answer:
I'm not sure tbh but I'm pretty sure the answer is 15
Step-by-step explanation:
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
can someone help me
Answer:
cant read it :(
Step-by-step explanation:
Answer:
m = [tex]\frac{y-b}{x}[/tex]
Step-by-step explanation:
Given
y = mx + b ( subtract b from both sides )
y - b = mx ( isolate m by dividing both sides by x )
[tex]\frac{y-b}{x}[/tex] = m
which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
Answer:
Let x be that number.
[tex] - 8 \div (x + 3)[/tex]
The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.
4x - 3 = 6x + 9 looking for variable
Answer:
x=-6
Step-by-step explanation:
Add 3 on both sides and subtract 6 on both sides.
This gives you -2x=12
Divide -2 on both sides
this gives you -6.
x=-6
[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]
Step By Step Explanation:
Step 1:
→[tex]4x - 3 = 6x + 9[/tex]
Step 2:
→[tex]4x - 6x = 9 + 3[/tex]
Step 3:
→[tex] - 2x = 12[/tex]
Step 4:
→[tex]x = \frac{12}{ - 2} [/tex]
Step 5:
→[tex]\green{x = - 6}[/tex]
verification:
Step 1:
⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]
Step 2:
⇝[tex] - 24 - 3 = - 36 + 9[/tex]
Step 3:
⇝[tex] - 27 = −27[/tex]
[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]
david is running a concession stand at a soccer game. he sells nachos and sodas. nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, DAvid made a total of $78.50 and sold a total of 87 nachos and sodas combined
Answer:
so what are you asking
Step-by-step explanation:
A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?
pls solve this question i will mark as a brainlist.
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .
So , here ,
Cost price of the article = Rs 1500.Profit on the article = 20% .Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .
Firstly let's Calculate 20% of 1500 .
= 20% of Rs 1500 .
= 20/100 × Rs 1500 .
= Rs 300 .
Hence we can find now Selling price as ,
[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]
⇒ SP = CP + Profit .
⇒ SP = Rs ( 1500 + 300 ).
⇒ SP = Rs 1800 .
Hence the required answer is Rs 1800.
30 POINTS AND I WILL GIVE BRAINLIEST JUST HELP ME PLZZ I NEED HELP WITH THIS !!
Answer:
$250
Step-by-step explanation:
If they are making 100 burritos, you multiply $1.50 and 100 to get $150, and then $1.00 and 100 to get $100. Add $150 and $100 together to get $250, that is how much it cost to make the burritos. If they sold all 100 burritos, they would gain a profit of $550.
Fun fact : bannanas are curved because they are growed toward the sun
Answer:
That is Cool
Step-by-step explanation:
Because it just is.
PLEASE HELP I DONT KNOW HOW TO DO THIS AND ITS DUE IN 30 MINUTEs
Answer: Can you include a picture please.
Step-by-step explanation:
Simplify the algebraic expression 9xy_4xy
Answer:
13xy
Step-by-step explanation:
9xy+4xy=13xy
You only have one set of variables when there is two sets of variables then you can not add all variables together.
you cant do 13x + 5y because the answer wold stay 13x 5y
If angle p measures 60 degrees, what is the measure of angle C?
A)120
B)60
C)180
D)30