Answer:
70 days
Step-by-step explanation:
We solve using Lowest Common Denominator method
Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.
Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.
Hence:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90
Therefore,
LCM(7, 10) = 70
Therefore, the number of days in which they will they be in the park and meet again is 70 days
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?
Answer:
Centre = (-1, 5)
radius = 8units
Explanation
The standard form of the equation of a circle is expressed as
x^2+y^2+2gx+2fy+C = 0
Center = (-g, -f)
radius = √g²+f²-C
Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.
On comparing
2gx = 2x
2g = 2
g = 2/2
g = 1
2fy = -10y
2f =-10
f =-5
Centre = (-1, -(-5)) = (-1, 5)
radius = √1²+5²-(-38)
radius = √1+25+38
radius = √64
radius = 8units
Help, Help, Help, Help, Help,
Step-by-step explanation:
answer is in photo above
Answer:
0.25
Step-by-step explanation:
f(1)=(1/4)^1
0.25
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
use the function below to find F(3).
F(x) = 4(1/3)^x
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
I need help solving these problems
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
NEED HELP! Will give brainliest!!!
1) 2(x + 7)
2x + 14
2) 8 (x - 3)
8x - 24
3) -4 (y - 6)
-4y + 24
4) -5 (2x + 3)
-10x - 15
Find the inverse of f(x)
Answer:
[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]
Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
Can 4, 6, and 12 be the measure of the sides of a triangle?
and
Can 6, 15, and 20 be the measure of the sides of a triangle?
Answer:
yes they can
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes they can............
i need help on this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
Which product results in x^2-1
Please help!! I'm in summer school and I can't fail
Answer: D, (1,3)
Hope this helped
Answer:
b. (0, 1.5)
Step-by-step explanation:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(3,7)\\(-3,-4)\\3+(-3)/2 , 7+(-4)/2\\(0, 1.5)[/tex]
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
Given the triangle below, what is the measure of x to the nearest foot?
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
What is it yalll !??????
Answer:
I think b
Step-by-step explanation:
Answer:
As x reaches negative infinity y reaches negative infinity
Step-by-step explanation:
So, first off, when looking at graphs, there will always be a infinite end behavior.
This is because either the x or y axis can be set to a infinitly large number.
We can instantly set up a 2 things for this graph.
We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.
This removes our second answer, because it is postive infinity for y.
It also removes our first answer, since it is just 5 for y, notn negative infinity.
Finally, it removes our third answer, since it is just 7 for y, not negative infinity.
This leaves D.
D is correct since y reaches negative infinity when x reaches both postive and negative infinity.
D says x is negativly infinite, which fits this.
So D is our answer.
Hope this helps!
What is the length of the hypotenuse of the right triangle in the diagram?
Answer:
it's hypotenuse will be -8
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
Which of the following is the value of g(60)?
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment.
Answer:
$19.99
Step-by-step explanation:
There are 12 months in a year, so in 2 years, there are 24 months.
Find how much each payment will be by dividing the cost by 24:
479.76/24
= 19.99
So, each payment will be $19.99
Sthephanie has 3 3/4 bags of soli to put in her garden. Each bag of soil will cover 125.3 ft how many square feet will sthephanie be able to cover if she uses all bags of soli?
Answer:
469.875 square feet
Step-by-step explanation:
Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):
125.3(3.75)
= 469.875
So, she will be able to cover 469.875 square feet with soil
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
SHOW WORK PLEASE
Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?
Answer:
65
Step-by-step explanation:
Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.
Answer:
65
Step-by-step explanation:
Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80
145-80
= 65 more miles
Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p
Answer:
C (3rd choice)
Step-by-step explanation:
Domain (x-values):
We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.
Range (y-values):
We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.
find the sum of this infinite geometric series.
HELP!!
help ASAP Please show working
Answer:
(a) -1
(b) -2
Step-by-step explanation:
(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1
(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)
Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?
A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV
Answer: c
Step-by-step explanation:
18 km
12 km
20 km
or
14 km
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
I don’t know how to do these questions so help plz
Answer:
the anser is no.b that is 30°
Answer:
90°
Step-by-step explanation:
There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:
180-150=30
So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.
[tex]3x+2x+30=180[/tex]
Combining like terms, we get:
[tex]5x+30=180[/tex]
Isolating x, we get:
[tex]5x=150[/tex]
Dividing both sides by 5, we get:
[tex]x=30[/tex]
So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:
[tex]3x=3(30)=90[/tex]
Therefore, the answer is 90°. Hope this helps!