Answer:
The equation for the new line in slope-intercept form is:
[tex]y=4x+2[/tex]
Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:
[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]
which for our case is:
[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?
Answer: 2.25 km
Step-by-step explanation:
2 cm = 0.5 km
9 cm = (9 x 0.5)/2
= 2.25 km
Answer:
2.25 km
Step-by-step explanation:
Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map
2cm=0.5km9cm=?
(9cm×0.5km)÷2cm4.5km(cm)÷2cm2.25 kmNOTE: since the cm are the same they will cancel each other out in the division stage
What is the midpoint of the vertical line segment graphed below?
Answer:
C.
Step-by-step explanation:
(5+5)/2 = 5, (4 + -5)/2 = -1/2
(5, -1/2)
TFW when you realize you answered two years too late...
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
Please follow my account.
Cheers!
what is the degree measure of an angle that measures 4.5 radians
Answer:
257.8°
Step-by-step explanation:
rad × 180/π = °
4.5*180=810
810/π=257.8
Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY
Answer:
We cannot have a single point of solution
Step-by-step explanation:
When the boundary lines are parallel, we can have no solution, or infinite solutions. We cannot have a single point of solution
Answer:
I believe there is no single solution
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
80 degrees
Step-by-step explanation:
180-100=80 degrees
Answer:
[tex]80 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the ACE angle be x
Given that
ACD angle =100°
[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
8.) The distance from Caleb's house to his school is 15 miles. What
is the distance in feet?
0.) 1760 feet
b.) 2640 feet
C.) 5280 feet
d.) 7920 feet
Answer:
I think the answer would be 79200 feet as 1 miles = 5280 feet
traductor de español
¡Hola! La siguiente descripción dice que el hogar de Caleb para su escuela es de 15 millas. La pregunta pregunta cuántos pies hay en 15 millas
Respuesta: 79.200.
Razonamiento: El razonamiento para esto es que 1 milla es 5280 pies. Cuando descubras que puedes multiplicar esto por 15 obtendrás 79200
Prueba: 5280
x 15
___________
79200
__________________________________
English Translator
Hello! the following description says that Caleb's house to his school is 15 miles. The question asks how many feet are in 15 miles
Answer: 79200
Reasoning: The reasoning to this is that 1 mile is 5280 feet. When you find out that you can multiply this by 15 you would get 79200
Proof: 5280
x 15
___________
79200
Thomas has two kittens. He records the
mass of one kitten as 2.2 kilograms and
the mass of the other kitten as 1,890 grams.
What is the total mass of the two kittens
in kilograms? (1 kilogram 1,000 grams)
Answer:
4.09
Step-by-step explanation:
Answer:
4.09
Step-by-step explanation:
change 1890 to kilograms
1890/1000= 1.89
add both weight = 1.89+2.2
4.09
A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?
the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution
Answer:
16 is the width 32 is the length
Step-by-step explanation:
L = 2x
96 = 2L + 2x Substitute the first equation into the second equation for L
96 = 2(2x) + 2x Multiply
96 = 4x + 2x Add
96 = 6x Divide both sides by 6
16 = x
Plug this into the first equation to solve for the length
L = 2(16) Multiply
L = 32
What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *
Answer:
342 ft squared
Step-by-step explanation:
You know how to find the area of a rectangle: Multiply the dimensions together (length x width).
You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.
First, find the area of the big rectangle:
18 * 25 = 450 ft squared
Now, find the area of the small one:
9 * 12 = 108 ft squared
Finally, subtract the area of the small rectangle from the area of the big one:
450 - 108 = 342 ft squared
Hope this helps! Please comment on this answer if you have any questions :)
simplify square root of 5 times square root of 8
Answer:
6 sqrt(5) - 4 sqrt(15)
Step-by-step explanation:
sqrt(5) ( ( 6 - 4 sqrt(3))
Distribute
6 * sqrt(5) - 4 * sqrt(5) sqrt(3)
We know sqrt(a) sqrt(b) = sqrt(ab)
6 sqrt(5) - 4 sqrt(15)
Answer:
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]
[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
calculate 16% of £50
IS MY ANSWER CORRECT?!
-- I'm thinking it's 36 If its wrong. --
Answer:
you have the right answer
Step-by-step explanation:
you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324
Answer:
I am sure you're answer is correct!
Step-by-step explanation:
:)
In right triangle ABC on hypotenuse AB lies points K and M such that AK=AC, BM=BC. Find m∠MCK.
Answer:
The measure of ∠MCK is 45°
Step-by-step explanation:
The parameters given are;
ΔABC with hypotenuse side AB
Let AB = x
BC = y
AC = z
∴ x² = y² + z²
∠BCM = ∠CMB (Base angles of isosceles triangle ΔBMC)
Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)
∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)
Hence, 2 × ∠BCM + ∠CBM = 180°........(1)
Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)
Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK
However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)
∴∠CBM + ∠CAK = 180° - 90° = 90°
Adding equations (1) and (2), we have;
2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°
Which gives;
2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°
Where;
∠CBM + ∠CAK = 90°, we have;
2 × ∠BCM + 2 × ∠ACK + 90° = 360°
∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°
∠BCM + ∠ACK = 270°/2 = 135°
∠BCM = ∠CMB
∴ ∠CMB + ∠ACK = 135°
Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK
Hence, ∠CMK + ∠MCK = 135°
However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)
Which gives;
∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°
∴ m∠MCK = 180° - 135° = 45°.
The measure of ∠MCK, m∠MCK = 45°.
The table below shows the weekly change in the price of one gram of gold for four weeks.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?
Answer:
I mean it changed by .25
Step-by-step explanation:
Im not sure if youre asking for the median or the price difference?
A.75/1 dollars per daythe cost $75 for each day.
B.1/25 dollars per day; the cost is $25 for each day.
C.1/150 dollars per daythe costs $1 for 150 days
D.25/1 dollars per daythe cost is $25 for each day
Answer:
D
Step-by-step explanation:
Count by 25. Its a no-brainer honestly.
The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6
Answer:
- 6
Step-by-step explanation:
[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
Answer: A = $804 18 tickets cost $10 and 52 cost $12
Step-by-step explanation:
A = $804 18 tickets cost $10 and 52 cost $12
B = $736
C = $830
D = $170
What is the equation of the graphed line written in standard form?
A. x=-3
B. y=-3
C. x+y=-3
D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)
Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?
Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112
Step-by-step explanation:
Step-by-step explanation:
Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)
We can Infer that each year afterwards it will do so.
So 1 year from now 28+28 = 56
2 years from now 56 + 56 = 112
And finally at 3 years 112+112 we arrive at our answer 224
Answer: So it would take 3 years to get to get to 224
Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4
Answer:
[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Step-by-step explanation:
[tex]f(x)=3x^2 + 2x + 4[/tex]
[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]
[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Answer:
f(2) = 20
f(a+h) = 3a²+6ah+3h²+2a+2h+4
Step-by-step explanation:
f(x) = [tex]3x^2+2x+4[/tex]
A) Putting x =2
=> f(2) = 3(2)²+2(2)+4
=> f(2) = 12+4+4
=> f(2) = 20
B) Putting x = a+h
=> f(a+h) = 3(a+h)²+2(a+h)+4
=> f(a+h) = 3a²+6ah+3h²+2a+2h+4
let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)
Answer:
Step-by-step explanation:
(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].
This is, you first calculate g(-5) and then h [ g (-5) ].
So, g ( -5) = 2 * ( - 5) = - 10
And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.
The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?
Answer:
1/6
Step-by-step explanation:
out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances
[tex]\frac{1}{6}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]
Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]
Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes
Number of possible outcomes [tex]=1[/tex]
Total number of outcomes [tex]=6[/tex]
Probability of rolling a [tex]6=\frac{1}{6}[/tex]
For more information:
https://brainly.com/question/11234923?referrer=searchResults
Half of a number plus three
times the number.
Write it in expression or equation solve the equation
Answer:
Step-by-step explanation:
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ primary Trigonometry ratio-memory trick ?”
Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?
Answer:
The mean
Step-by-step explanation:
Answer:
the answer is option a) the mean
Step-by-step explanation:
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
Does anyone know how to find the area ?
Answer:
To find the area of a shape, multiply the sides. Hope this helps! ;)
Answer:
YES!
Step-by-step explanation:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.