Answer: 19/3
Step-by-step explanation:
[tex]4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}[/tex]
Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,
what is its length in the map?
Answer:
5 cm
Step-by-step explanation:
We can use a ratio to solve
1 cm x cm
------- = ---------
18 m 90 m
Using cross products
1 * 90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x
5 cm
[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]
Now , Cross Multiplying[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]
Hence , the length of map is 5 cm.
Write an equation of the line that is parallel to the given line and passes through the given point.
9. y= -2x+6 (0,-4)
10. -2x+3y=12 (3,2)
pls help me!!!!!
Answer:
9.) y=-2x-4
10.)y=2/3x
Step-by-step explanation:
Parallel lines have the same slope, different intercepts
9.) The slope is -2x
To find the parallel line
y-(-4)=-2(x-0)
y+4=-2x
y-4=-2x-4
y=-2x-4
10.) You must first put the equation in slope-intercept form.
-2x+2x+3y=2x+12
3y=2x+12
Divide by 3
3y/3=2x/3+12/3
Simplify
y=2/3x+4
Slope = 2/3x
y-2=2/3(x-3)
y-2=2/3x-6/3
y-2=2/3x-2
y-2+2=2/3x-2+2
y=2/3x
Will give brainliest plz answer quick
Answer:
65
Step-by-step explanation:
Exterior angle = Sum of 2 interior angles
x + 31 = x + x - 34
x + 31 = 2x - 34
x - 2x = - 34 - 31
- x = - 65
x = 65
Step-by-step explanation:
A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.
[tex]x+x-34+180-x-31=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.
Answer:
2y=2y-4=x
Step-by-step explanation:
Vertices name in triangle A B C
Answer:
The answer is B.
I think I answered the wrong answer.
A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of cookies that can be made with the bag of sugar
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
1 month
3 months
4 months
0 months
Answer: C. 4 months
Step-by-step explanation:
Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.
simplify3³×9²×125³÷9³
Answer:
Step-by-step explanation:
Prime factorize 9 and 125
9 = 3* 3 = 3²
125 = 5 * 5 * 5 = 5³
3³ * 9² * 125³ ÷ 9³ = [tex]\frac{3^{3}*(3^{2})^{2}*(5^{3})^{3}}{(3^{2})^{3}}\\[/tex]
[tex]= \frac{3^{3}*3^{4}*5^{9}}{3^{6}}\\\\=\frac{3^{3+4}*5^{9}}{3^{6}}\\\\= \frac{3^{7}*5^{9}}{3^{6}}\\\\=3^{7-6}*5^{9}\\=3*5^{9}[/tex]
Exponent laws:
[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n} = a^{m +n}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \ ; \ m > n[/tex]
Can someone help me calculating the area of the whole figure?
Answer:
5•5= 25 (5•5)÷2= 12.5 25+12.5=37.5
Step-by-step explanation:
[15 points]The distance from the earth to the moon is approximately 380592 km. Assuming the moon has a circular orbit around the earth, find the distance the moon travels in orbiting the earth through an angle of 2.62 radians.
Answer:
634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.
Step-by-step explanation:
convert to pi.
How to do this question
Answer:
Step-by-step explanation:
Answered by G a u t h m a t h
Please mark it as brainliest & thank it if it helped you
A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?
Answer:
The stock in last three days has a net gain of 3.
Step-by-step explanation:
The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:
[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]
[tex]x = 3[/tex]
The stock in last three days has a net gain of 3.
How do l solve this HELP pls
As its a Quadrilateral
Using angle sum property
[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]
[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]
[tex]\\ \sf\longmapsto 15x+255=360[/tex]
[tex]\\ \sf\longmapsto 15x=360-255[/tex]
[tex]\\ \sf\longmapsto 15x=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
The angle sum property of a quadrilateral
The sum of angles of a quadrilateral is 360°⇛ ∠E + ∠F + ∠G + ∠H = 360°
Solution[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]
Find the sum... 6.87 + 2.39
Answer:
9.26
Step-by-step explanation:
Using the table, we can deduce that:
6+2 = 8
8+3=11
7+9=16
Using addition rules:
The '1' in the 11 moves and is added to the 'ones' place.
The '1' in the 16 moves and is added to the 'hundredths' place.
Thus,
8+1 . (1+1) (6)
9.26
It is also most certainly possible to use a calculator, which is much, much easier.
Find the sum... 6.87 + 2.39
6.87 + 2.39=9.26
By how much is 9966004321 larger than 1 billion
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
https://brainly.com/question/17329628
#SPJ2
PICTURE) Could someone please correct my answer and explain 6 for me marking brainliest
Answer:
For number 5, it is D
For number 6, it is A
Step-by-step explanation:
For number 5, we have the dimensions options here.
We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.
We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.
*(Formula for perimeter is 2(L + W) )
(I already checked them all, and they all give to be 34 so they are all safe.)
Then we find the areas of each.
*(Formula for area is L * W {the " * " symbol represents multiplication.)
We multiply 12 by 5 to get 60.
We multiply 13 by 4 to get 52.
We multiply 10 by 7 to get 70.
We multiply 9 by 8 to get 72.
Since we are looking for the greatest area, we look for the greatest number, which is the 72.
Therefore the 9 by 8 option, or D is correct.
For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.
We first check if all the areas are 64 to look for a trick answer.
We multiply 8 by 8 to get 64.
We multiply 1 by 64 to get 64.
We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})
We multiply 32 by 2 to get 64.
So we know the 6 by 6 option or C is wrong.
Then we look for the perimeters of the dimension solutions.
(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)
2 ( 8 + 8 ) = 32
2 ( 1 + 64 ) = 130
2 ( 32 + 2 ) = 68.
Since we are looking for the smallest perimeter, it is the smallest answer this time.
So it must be A, since 32 is the smallest.
Hope this helps!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Evaluate the following expression.
"the quotient of 18 and 2"
A. 1/9
B. 9
C. 16
D. 20
Answer:
B) 9
Step-by-step explanation:
Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:
Dividend ÷ Divisor = Quotient
18 ÷ 2 = 9
MY HOMEWORK IS DUE SOON!!! PLEASE HELP
Answer:
7.07143
Step-by-step explanation:
Diameter: 18
Angle: 45
Radius: 9
una caja contiene 2 bolitas blancas y 3 blancas .la probabilidad de que la primera extraída sea blanca y la segunda sea negra , sin reponer la primera
si cinco son blancas como va a ver una negra ?
find the shaded area ..
Answer:
39°
Step-by-step explanation:
The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°
angle on circle in lower triangle
= 180° - (65 + 76)° ← angle sum in triangle
= 180° - 141° = 39°
Angles on the circle subtended from the same arc are congruent, then
shaded angle = 39°
A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. Find the length of each piece of pipe.
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
Can someone please explain this step by step.
Answer:
-5 and 2
-3 and 0
-2 and -1
...gives -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5,2), (-2,-1), (-3,0)
all pairs add up to -3
In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively
Given:
Total number of people = 10
To find:
The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.
Solution:
We know that the number of ways to select r items form n times is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].
The number of remaining people is [tex]10-2=8[/tex].
The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].
The number of remaining people is [tex]8-3=5[/tex].
The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].
Now, the total number of ways is:
[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]
[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]
[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]
[tex]Total=45\cdot 56\cdot 1[/tex]
[tex]Total=2520[/tex]
Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.
HELP!
what is the y-intercept of the function f(x)=5*(1/6)^x
Answer:
The y intercept is (0,5)
Step-by-step explanation:
f(x) = 5 * (1/6)^x
What is the y intercept? Let x = 0
f(0) = 5 * (1/6)^0
f(0) = 5*1 = 0
The y intercept is (0,5)
Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain
Answer:
u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you
What is the value of x?
Answer:
x=5
Step-by-step explanation:
Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5
Need help ASAP rocky ! Help needed
Answer:
x/x∈R,x≤5 1/6
Step-by-step explanation:
I really need help……
Answer:
Option C
Step-by-step explanation:
A function's input is assigned to exactly one output. Any input must not repeat.
Option A's not a function because the input of 3 repeats.
Option B's not a function because the input of -4 repeats.
Option C's a function because no inputs repeat.
Option D's not a function because the input of 5 repeats.
Hope this helps.
I need help
Center?
Radius?
Answers:
Center = (1, 5)
Radius = 3
===========================================================
Work Shown:
[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]
----------------------
Explanation:
The idea is to complete the square for the x and y terms separately.
Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.
The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2
Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]
Center = (h,k) = (1,5)
Radius = r = 3
2. Find a true inequality that involves the real number 5/4
Answer:
c
Step-by-step explanation:
5/4>6/5
multiply by 20
25>24
which is true.