Answer:
Length of route that passes the mall= 11 miles
Length of route that passes the theater= 13 miles
Step-by-step explanation:
route to school that passes the mall (highlighted in red)
= (x +1) +(x +2)
= 2x +3
route to school that passes the theater (in yellow)
= (2x +1) +x
= 3x +1
Since the first is 2 miles shorter,
2x +3= 3x +1 -2
Simplify:
2x +3= 3x -1
Bring constants to 1 side, x terms to the other:
3x -2x= 3 +1
x= 4
Substitute x=4 to find the length of each route:
Length of the route that passes the mall
= 2x +3
= 2(4) +3
= 8 +3
= 11 miles
Length of route that passes the theater
= 3x +1
= 3(4) +1
= 12 +1
= 13 miles
Alternatively, length of route that passes the theater
= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.
Z A deep-sea diver is exploring a ship at a depth of 200 below sea
level The diver decends at a rate of -15 feet per minute. How deep
was the diver at 12 minutes?
Answer:
The diver was -180 feet below sea level at 12 minutes.
Step-by-step explanation:
Multiply -15 by 12 and you should get -180.
what is the answer to g+3=17
Answer:
g=14
Step-by-step explanation:
do 17-3, the answer is 14, meaning 14=g
Answer:
g = 14
Step-by-step explanation:
g+3 = 17
Subtract 3 from each side
g+3-3 = 17-3
g = 14
-1/2m=-9 what does m=
Answer:
m = 18
Step-by-step explanation:
Step 1: Write out equation
-1/2m = -9
Step 2: Multiply both sides by -2
m = 18
What is the explicit formula used for?
Answer:Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms. Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms
Step-by-step explanation:
PLEASEEEE HELP ASAPPP ILL MARK BRAINLIEST IMPORTANT TO SHOW YOUR WORK
Answer:
AC = 7.5 cm
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BC}{DE}[/tex] , substitute values
[tex]\frac{AC}{3.5}[/tex] = [tex]\frac{7+8}{7}[/tex] , that is
[tex]\frac{AC}{3.5}[/tex] = [tex]\frac{15}{7}[/tex] ( cross- multiply )
7AC = 52.5 ( divide both sides by 7 )
AC = 7.5 cm
Can somebody help me and answer this question for me f(g(6))=
Match the expression on the left with the expression on the right with the same sum or product.
5.9
4 +3
3 + 4
(7.2).5
7 (
25)
9.5
3+ (4+5)
(3 + 4) + 5
Answer:
5 * 9 --> 9 * 5
3 + (4+5) --> (3+4) + 5
3 + 4 --> 4 + 3
7 * (2*5) --> (7*2) * 5
Step-by-step explanation:
If you look at them correctly, you can see where this is going. This question of matching is using commutative property.
Your Welcome :)
Answer:
5.9 * 9 —— 9*5
7*(2*5) —— (7*2)*5
3+(4+5) ——(3+4)+5
3+4—— 4+3
Step-by-step explanation:
got the question correct
Mrs. Bowman spent $110 to rent a popcom machine for the school
carnival and $75 to buy popcorn, oil, and other supplies. If she sold
263 bags of popcorn for $1.50 each, how much money did she make after paying for the machine and the supplies?
Answer:
200 minutes I am getting poi tea yayyyy
Answer:
$209.50
Step-by-step explanation:
First, find how much she made selling the popcorn:
263(1.5)
= 394.50
Then, find how much she spent on supplies and the machine:
110 + 75
= 185
Subtract the expenses from the profit:
394.50 - 185
= $209.50
Calculate the interest earned and total amount of money for the following: 1. Principal: $4,500 Interest: 7% 2. Principal: $1,500 Interest: 4% 3. Principal: $7,500 Interest: 3%
√45 rounded to the nearest 0.05 ????
Answer:
6.7082039325......tbc
i need answers because it's very hard i need to pass.
Answer:
whats the question
Step-by-step explanation:
Steven reads 6 books each month as part of his book club. If Steven has read 18 books so far, how many months has he been with his book club?
Answer:
3
Step-by-step explanation:
18/6 is 3
What is
the circumference of a circle with radius 3.5cm. Take [Pi=22/7]
Answer:
22cm
Step-by-step explanation:
Circumference of a circle = 2πr
π = 22/7
r = 3.5
Circumference of a circle = 2 × (22/7) × 3.5
Circumference of a circle = 22cm.
-5(4x-2)=-2(3+6x) multi step equation
Answer:
X=2, please mark me brainliest
Step-by-step explanation:
−5(4x−2)=−2(3+6x)
(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)
−20x+10=−6+−12x
−20x+10=−12x−6
Step 2: Add 12x to both sides.
−20x+10+12x=−12x−6+12x
−8x+10=−6
Step 3: Subtract 10 from both sides.
−8x+10−10=−6−10
−8x=−16
Step 4: Divide both sides by -8.
−8x
−8
=
−16
−8
x=2
Find the distance from D (-6, -2) to T (7,-8)
Answer:
(13, 6)
Step-by-step explanation:
Step 1:
Make turn everything into absolute value. Which makes it positive.
Step 2:
6 = 7 = 13
Step 2:
8 - 6 = 4
Answer:
(13, 6)
Hope This Helps :)
what is the round up form of 52.149 in the nearest hundreths
Answer:
52.15
Step-by-step explanation:
52.149
Since last digit is 9,
The tenth digit, which is 4 gets rounded to 5.
Therefore answer: 52.15
Answer: 52.15
Step-by-step explanation: you would round to .05 because the 9 is bigger than five. greater than five round up less than 4 keep the same :) hopes this helps
A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points. Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds. What is the domain? {t| 0 ≤ t ≤ 3} {t| 0 ≤ t ≤ 48} {t| 0 ≤ t ≤ 64} {t| all real numbers}
Answer:
{t| 0 ≤ t ≤ 3}
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
It right on edge 2020
The product of twice the length and the width
Answer:
The answer to the question is 2(l+w).
Write the algebra expression: six times the sum of four and a number
Answer:
6(4+x)
Step-by-step explanation:
Answer:
6(x+4)
Step-by-step explanation:
We want to write an algebraic expression for "six times the sum of four and a number"
Let's break this down.
The sum of four and a number:
The words "sum" indicates addition. We can call " a number" x, since it is unknown.
So, the sum of four and a number is: (x+4).
Six times:
The word "times indicates multiplication. We are multiplying six and the sum of four and a number.
So, we have: 6(x+4)
The algebra expression for "six times the sum of four and a number" is 6(x+4)
PLEASE HELP, DUE AT MIDNIGHT >>>>>
Answer:
BELOWStep-by-step explanation:
7.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-8,\:-11\right),\:\left(x_2,\:y_2\right)=\left(17,\:4\right)\\\\m=\frac{4-\left(-11\right)}{17-\left(-8\right)}\\\\m = \frac{4+11}{17+8}= \frac{15}{25} \\\mathrm{Refine}\\\\m=\frac{3}{5}[/tex]
8.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(10,\:-15\right),\:\left(x_2,\:y_2\right)=\left(13,\:-17\right)\\\\m=\frac{-17-\left(-15\right)}{13-10}\\\\m = \frac{-17+15}{13-10}\\ \\m = \frac{-2}{3}\\ \\Simplify\\m=-\frac{2}{3}[/tex]
9.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(5,\:-7\right)\\\\m=\frac{-7-\left(-7\right)}{5-\left(-6\right)}\\\\m = \frac{-7+7}{5+6}\\ \\m = \frac{0}{11}\\ \\Simplify\\m=0[/tex]
10.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-4,\:-3\right),\:\left(x_2,\:y_2\right)=\left(2,\:-9\right)\\\\m=\frac{-9-\left(-3\right)}{2-\left(-4\right)}\\\\m = \frac{-9+3}{2+4}\\ \\m = \frac{-6}{6} \\\\Simplify\\m =-1[/tex]
11.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty \\\\m = \infty[/tex]
12.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-5,\:3\right),\:\left(x_2,\:y_2\right)=\left(19,\:-6\right)\\\\m=\frac{-6-3}{19-\left(-5\right)}\\\\m = \frac{-6-3}{19+5}\\ \\m = \frac{-9}{24}\\ \\Simplify\\m=-\frac{3}{8}[/tex]
13.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-7,\:-12\right),\:\left(x_2,\:y_2\right)=\left(1,\:-16\right)\\\\m=\frac{-16-\left(-12\right)}{1-\left(-7\right)}\\\\m = \frac{-16+12}{1+7} \\\\m = \frac{-4}{8} \\\\Simplify\\m=-\frac{1}{2}[/tex]
14.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-18,\:0\right),\:\left(x_2,\:y_2\right)=\left(-13,\:1\right)\\\\m=\frac{1-0}{-13-\left(-18\right)}\\\\m = \frac{1-0}{-13+18}\\ \\m = \frac{1}{5} \\[/tex]
15.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-4\right)\\\\m=\frac{-4-\left(-11\right)}{-2-1}\\\\m = \frac{-4+11}{-2-1}\\ \\m = \frac{7}{-3} \\\\Simplify\\m=-\frac{7}{3}[/tex]
6 to the 2nd power x 3 to the 3rd power
Answer:
972
Step-by-step explanation:
[tex] {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972[/tex]
A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1
Answer:
264.89cm^2
Step-by-step explanation:
CSA of cylinder=πrl
= 3.1 × 7 ×√149
= 264.89cm^2
Solve for p in the literal equation 7p + 9r = 9.
p =
Answer:
p = -7
Step-by-step explanation:
7p + 9r = 9
-9 -9
7p = 0
-7 -7
p = -7
Hugh bought some magizines that cost 3.95 each and some books that cost 8.95 each. He spent a total of 47.65.If Hugh bought 3 magazines,how many books did he buy
Answer:
4 books
Step-by-step explanation:
We are told that: Hugh bought some magazines that cost 3.95 each
Hugh bought 3 magazines.
Hence, total cost of magazines = 3 magazines × 3.95
= 11.85.
Total cost of magazines = 11.85
From the question, we know that, the total amount Hugh spent = 47.65
Hence, The total cost for books =
Total amount spent - Total cost of magazines
= 47.65 - 11.85
= 35.80
Therefore, the total cost of books = 35.80
We are told in the question that the cost of books is 8.95 each or 8.95 per book.
Hence, the number of books that Hugh bought is calculated as :
35.80/8.95
= 4 books
Therefore, Hugh bought 4 books
Juan, an avid golfer, used two strokes on a miniature golf hole, which was one stroke below par. What was par for this hole?
1 because two strokes minus 1 for being one stroke above par is 1.
what is the answer of 10 times 10
Answer:
1000
Step-by-step explanation:
10x10=100
Answer: 100
Step-by-step explanation:
10 × 10=100
Or...
You can remember as whenever you time something with 10, you add an 0 at the end to the first number
98 × 10=980 ⇔ you simply just add an zeroThere are 7 more sweaters than shirts in the drawer. There are 15 sweaters and shirts in the drawer in all. How many shirts are there in the drawer? Let S represent the number of shirts. Which equation represents the situation
Answer:
7 + 2s = 15
4 shirts
Step-by-step explanation:
Let's say w denotes sweaters and s denotes shirts.
Since there are 7 more sweaters than shirts:
w = 7 + s
There are a total of 15 sweaters and shirts in all, so:
w + s = 15
Substitute 7 + s in for w in the second equation:
w + s = 15
7 + s + s = 15
7 + 2s = 15
Solving for s:
7 + 2s = 15
2s = 15 - 7 = 8
s = 8/2 = 4 shirts
Thus, the equation is 7 + 2s = 15, and there are 4 shirts.
~ an aesthetics lover
If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab
Answer:
-27/4Step-by-step explanation:
Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.
Factorizing the resulting equation to get the roots
x²- 5x + 4 = 0
(x²- x)-(4 x + 4) = 0
x(x-1)-4(x-1) = 0
(x-1)(x-4) = 0
x-1 = 0 and x-4 = 0
x = 1 and x = 4
Since a and b are known to be the root then we can say a = 1 and b =4
Substituting the given values into the equation 1/a+1/b-2 ab , we will have;
= 1/1 + 1/4 - 2*1*4
= 1 + 1/4 - 8
= 5/4 - 8
Find the Lowest common multiple
= (5-32)/4
= -27/4
Hence the required value is -27/4
Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 4(3 - 2x) = 15
Answer:
x = -3/8
Step-by-step explanation:
4(3 - 2x) = 15
Distribute
12 -8x = 15
Subtract 12 from each side
12-8x-12 =15-12
-8x =3
Divide by -8
-8x/-8 = 3/-8
x = -3/8
The correct answer is: -3/8
9. Krista and Emily wrote an equation of a line that is parallel to the line y = 3x - 1 and passing
through the point (5,9). Is either of them correct? Explain your reasoning?
Krista:
9 = 3(5) + b
9 = 15 + b
-6 = b
y = 3x - 6
Emily:
y- 9 = 3(x - 5)
y- 9 = 3x - 15
y = 3x - 24
Answer:
Explanation:
Step-by-step explanation:
Hey there!
The equation, of a st. line that passes through point (5,9) is,
[tex](y - y1) = m1(y - y1)[/tex]
Put the values,
[tex](y - 9) = m1(x - 5)[/tex]
It is 1st equation.
Now, another equation is,
y = 3x-1.........(ii)
Comparing the equation with y = mx+c.
Slope (m2)= 3
As per the parallel lines,
m1=m2=3
Putting,
the value of m1 in equation(i)
(y-9)= 3(x-5)
y-9= 3x - 15
y = 3x - 6.
So, Krista equation is correct.
Hope it helps...