Answer:
you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285
Step-by-step explanation:
Answer:
0$
Step-by-step explanation:
simple
Find n. A. 5 B. 5√3 C. 10 D. 10√3/3
Answer:
Option A
Step-by-step explanation:
Using trigonometry ratios
tan∅= opp/adj
tan 30°=n/(5√3)
1/√3 = n/(5√3)
n = (5√3)/√3
n = 5
How many minutes will it take a caterpillar to go seven feet if it travels 24 inches per minute? To travel seven feet, it will take the caterpillar a0 minutes.
Answer:
3 and and half minutes--> 7ft
Step-by-step explanation:
If it travels 24 inches aka 2ft per minute
then it has to travel 12 inches aka 1ft in 30secs
SO
3mins and 30secs to travel 7ft
24inches--- 2ft---- per minute
4ft--- 2 mins
6ft---- 3mins
7ft--- 3minutes and 30 seconds
There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?
PLEASE - Select the correct answer.
Answer:
D
Step-by-step explanation:
2(3x + 1) - (x - 5) = 42
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in each side of the base?
Answer:
4
Step-by-step explanation:
V = Lwh
the volume (given) = 24 ft^3
the height (given) = 18" = 1.5'
24 = L*w*1.5
divide both sides by 1.5
16 = Lw
You need to find the number of feet in each side of the base
since the box has a square base
L = W
AND, found above, L*w = 16
so 4*4= 16
Answer - 4
Sylvia burns 6 calories per minute when she runs, How many calories does she burn when
she runs for 15 minutes?
Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantity.
(−[infinity], 2) (2, [infinity])
(−[infinity], −2) (−2, [infinity])
(−[infinity], 1) (1, [infinity])
(−[infinity], −1) (−1, [infinity])
Answer:
[tex](- \infty, 2), (2, \infty)[/tex]
Step-by-step explanation:
Given the function:
[tex]f(x) = \dfrac{x+1}{x-2}[/tex]
To find:
Domain of the function.
Solution:
First of all, let us learn about definition of domain of a function.
Domain of a function is the valid input values that can be provided to the function for which output is defined.
OR
Domain of a function [tex]f(x)[/tex] are the values of [tex]x[/tex] for which the output [tex]f(x)[/tex] is a valid value.
i.e. The function does not tend to [tex]\infty[/tex] or does not have [tex]\frac{0}0[/tex] form.
So, we will check for the values of [tex]x[/tex] for which [tex]f(x)[/tex] is not defined.
For value to tend to [tex]\infty[/tex], denominator will be 0.
[tex]x-2\neq 0 \\\Rightarrow x \neq 2[/tex]
So, the domain can not have x = 2
Any other value of x does not have any undefined value for the function [tex]f(x)[/tex].
Hence, the answer is:
[tex]\bold{(- \infty, 2), (2, \infty)}[/tex] [2 is not included in the domain].
PLEASE HELP!!!!!! URGENT!!!!!!!!! ALGEBRA! Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas. Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas. Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas. Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas. Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items. What are the costs of a pack of pasta, a pack of noodles, and a pack of split peas? A) Pasta: $0.69 per pack, Noodles: $0.25 per pack, Split peas: $0.99 per pack B) Pasta: $1.09 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack C) Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack D) Pasta: $0.69 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack
Answer: C
Step-by-step explanation:
The costs of a pack of pasta, a pack of noodles, and a pack of split peas are Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack
*PLEASE ANSWER, MAKE SURE YOU ANSWER CORRECTLY* What dimensions would you need to measure the volume of the following prism?
Answer:
base of the triangle, height of the triangle, height of the prism.
Step-by-step explanation:
The formula for calculating the volume of the right triangle prism above is given as [tex] base area * height of prism [/tex].
The base is a right triangle. Area of the right triangular base = ½*base*height of the triangle.
Therefore, the dimensions needed to find the volume of the prism are: "base of the triangle, height of the triangle, and height of the prism.
Answer:
The guy above me is correct its base of the triangle, height of the triangle, height of the prism
Step-by-step explanation:
I also got it correct on my quiz.
Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?
Answer:
x = -25.
Step-by-step explanation:
If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.
f(g(x)) = -10x + 5, and x = 3.
-10 * 3 + 5
= -30 + 5
= -25.
Hope this helps!
solving polinomial(2x+8)(2x-1)
Answer:
4x²+14x-8 ( multiplying)
x=-4 , x=1/2 ( find solution)
Step-by-step explanation:
(2x+8)(2x-1)
start :
2x*2x=4x²
2x*-1 = -2x
8*2x=16x
8*-1=-8
add the results : 4x²-2x+16x-8 = 4x²+14x-8
If you mean find the solution :(2x+8)(2x-1)=0
2x+8=0
x=-8/2=-4
OR 2x-1=0
then x=1/2
Answer:
=4x2+14x−8
Step-by-step explanation:
(2x+8)(2x−1)
=(2x+8)(2x+−1)
=(2x)(2x)+(2x)(−1)+(8)(2x)+(8)(−1)
=4x2−2x+16x−8
=4x2+14x−8
I hope this helps! :]
1. Find the slope of a line passing through points (0,0) and (4,5)
o 4/5
5/4
4/9
5/9
Option 5
Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)
m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]
Answer:
The answer is 5/4Step-by-step explanation:
Slope of a line is given by
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]where
m is the slope and
( x1 , y1) and (x2 , y2) are the points of the line
Slope of the line between the points
(0,0) and (4,5) is
[tex]m = \frac{5 - 0}{4 - 0} = \frac{5}{4} [/tex]Hope this helps you
If y varies directly as x and z, and Y=40 when x =5 andz = 4, find y when x=2 and z = 1
Pls answer it ASAP
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]
[tex]y=k(xz)[/tex] (i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]
Required equation: [tex]y=2(xz)[/tex] [Put value of k in (i)]
Now put x=2 and z = 1, then we get
[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]
Hence, when x=2 and z = 1, then the value of y =4.
[tex]15 \times 94 - 89 \div 5[/tex]
What is the relationship between the area of ABCD and the area of EFGH? Quadrilateral ABCD with side measures 18 for AB, 24 for BC; quadrilateral EFGH with side measures 6 for EF, x for FG The ratio of the area of ABCD to the area of EFGH is 1:9. The ratio of the area of ABCD to the area of EFGH is 3:1. The ratio of the area of ABCD to the area of EFGH is 1:3. The ratio of the area of ABCD to the area of EFGH is 9:1.
Answer:
The ratio of the area of ABCD to the area of EFGH is 9:1.
Step-by-step explanation:
Let us assume that the shapes are rectangles and they are similar. If the two shapes are similar then their sides are in the same proportion. Therefore the ratio of the sides are in the same proportion.
[tex]\frac{AB}{BC}=\frac{EF}{FG}\\ \\\frac{18}{24}=\frac{6}{x}\\\\18x=24*6\\ \\x=\frac{24*6}{18}=8[/tex]
The area of ABCD = AB × BC = 18 × 24 = 432
The area of EFGH = EF × FG = 6 × 8 = 48
The ratio of the area of ABCD to the area of EFGH = Area of ABCD / Area of EFGH = 432 / 48 = 9/1 = 9 : 1
Bill’s car gets 30 miles to the gallon. For every gallon of gas it consumes, his car runs 30 miles. Use this information to determine whether this relation is a function
write a equation for the number of miles Bill travels, y, in terms how much gas it uses, x.
Answer:
Step-by-step explanation:
No. of miles driven in 1 gallon = 30 miles.
since we have to distance traveled in miles.multiply LHS and RHS by x
No. of miles driven in 1*x gallon = 30*x miles.
No. of miles driven x gallons = 30*x = 30x miles
As given that
the number of miles Bill travels is represented by y
gas used is x
then
y = 30x
=> x = y/30
Thus, Bill's car uses y/30 gallon gas to travel Y miles.
Answer:
Part a: Bill’s car travels 30 miles per gallon of gas. If y represents the number of miles the car travels on x gallons of gas, the equation that represents this situation is y = 30x.
Part b: gallons of gas (x) miles (y)
1 30
2 60
3 90
Part c: There is no x-value that would lead to multiple y-values.
Part d: Yes, y = 30x is a function, because for every input, or x-value, there is only one output, or y-value.
Step-by-step explanation:
edmentum answers 100% correct
Read the following statements. The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and
60", so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from
the statement above?
Answer:
what number must be added to sum of two angles that the sum of three angles become 180.
Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.
Step-by-step explanation:
Given
sum of measure of angle of triangle = 180°
given two angles 40°and 60°
Let the third angle be x°
thus
40°+ 60°+x° = 180°
100°+x° = 180°
x° = 180°- 100° = 80°
Thus, third angle measure 80°
She must have sum the first two known angles.
as given sum of three angles are 180
she must have assumed other angle to be x
then sum of all three angles must be 180
now to find third angle she subtracted sum of two known angles to find third angle.
other way can what number must be added to sum of two angles that the sum of three angles become 180.
Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.
Which statement is false? Question 4 options: All whole numbers are integers. All natural numbers are whole numbers. All real numbers are irrational numbers. All whole numbers are real numbers.
Answer:
C
Step-by-step explanation:
Not all real numbers are irrational.
Solve for x. 23x +2=15x+48x+6
Answer:
[tex]x = - \frac{1}{10} [/tex]Step-by-step explanation:
23x +2 = 15x+48x+6
To solve for x group like terms
That's
Send the constants to the right side of the equation and those with variables to the left side
We have
23x - 15x - 48x = 6 - 2
Simplify
- 40x = 4
Divide both sides by -40
[tex] \frac{ - 40x}{ - 40} = \frac{4}{ - 40} [/tex]We have the final answer as
[tex]x = - \frac{1}{10} [/tex]Hope this helps you
slopes of the line parallel and perpendicular to y=32x-1
Answer:
see below
Step-by-step explanation:
This is in slope intercept form
y = mx+ b where m is the slope and b is the y intercept
32 is the slope
Parallel lines have the same slope so 32 would be the slope of the parallel line
Perpendicular lines have slopes that multiply to -1
m*32 = -1
m = -1/32
The slope of the perpendicular line is -1/32
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 60 mph. The average speed on the way back was 36 mph. How many hours did the trip there take?
Answer:
8 hours
Step-by-step explanation:
Given:
Sheyna drives to the lake with average speed of 60 mph and
[tex]v_1 = 60\ mph[/tex]
Sheyna drives back from the lake with average speed of 36 mph
[tex]v_2 = 36\ mph[/tex]
It took 2 hours less time to get there than it did to get back.
Let [tex]t_1[/tex] be the time taken to drive to lake.
Let [tex]t_2[/tex] be the time taken to drive back from lake.
[tex]t_2-t_1 = 2[/tex] hrs ..... (1)
To find:
Total time taken = ?
[tex]t_1+t_2 = ?[/tex]
Solution:
Let D be the distance to lake.
Formula for time is given as:
[tex]Time =\dfrac{Distance}{Speed }[/tex]
[tex]t_1 = \dfrac{D}{60}\ hrs[/tex]
[tex]t_2 = \dfrac{D}{36}\ hrs[/tex]
Putting in equation (1):
[tex]\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles[/tex]
So,
[tex]t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs[/tex]
[tex]t_2 = \dfrac{180}{36}\ hrs = 5\ hrs[/tex]
So, the answer is:
[tex]t_1+t_2 = \bold{8\ hrs}[/tex]
Solve.
-7(2z + 4) = 21
Answer:
-7/2
Step-by-step explanation:
cuz thats right
Is 7/12 rational or irrational
Answer:
7/12 is a rational
Step-by-step explanation:
because it is containing a quantity which are expressible
Help with this find the image of (1 ,2) after a reflection about y=x followed by a reflection about y=-x
Answer: (-1, -2)
Step-by-step explanation:
so at first you have (1, 2)
then you were asked to reflect about y=x which is (x, y) = (y, -x)
(1, 2) = (2, -1)
then followed by y=-x which is (x, y) = (-y, -x)
(2, -1) = (-1, -2)
I hope this helps!
Solve for b. 2/3 b + 5 = 20 - b
Answer:
b = 9
Step-by-step explanation:
Step 1: Add b on both sides (Addition Equality)
5/3b + 5 = 20
Step 2: Subtract 5 on both sides (Subtraction Equality)
5/3b = 15
Step 3: Divide both sides by 5/3 (Division Equality)
b = 9
Find the value of x.
Answer:
x = 20
Step-by-step explanation:
Intersecting Chords Theorem: ab = cd
Step 1: Label our variables
a = x
b = x - 11
c = x - 8
d = x - 5
Step 2: Plug into theorem
x(x - 11) = (x - 5)(x - 8)
Step 3: Solve for x
x² - 11x = x² - 8x - 5x + 40
x² - 11x = x² - 13x + 40
-11x = -13x + 40
2x = 40
x = 20
Answer: x=20
Step-by-step explanation:
[tex]ab=cd[/tex]
[tex]x(x - 11) = (x - 5)(x - 8)[/tex]
[tex]x^2 - 11x = x^2 - 13x + 40[/tex]
[tex]x^2 - 11x = x^2 - 8x - 5x + 40[/tex]
[tex]-11x = -13x + 40\\2x = 40\\x = 20[/tex]
Give an actual answer please
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?
(7x + 2) feet
(2x + 7) feet
(2x − 7) feet
(7x − 2) feet
Hello There!!
Your best answer choice will be is A.
(2x + 7) feet.
Because, All you have to do for this problem is factor the equation. I would be hard to explain on this so I recomment you watch a video on it. If you did not know how to factor, you could have muliplied each of the answers by themselves to determine the correct answer because it is a square.
Hope This Helps!!
Answer:
(2x+7)
Step-by-step explanation:
4x^2 + 28x + 49
This is a perfect square trimonial
a^2 + 2ab + b^2 = (a+b)^2
(2x)^2 + 2 * 2x*7 + 7^2
( 2x+7)^2
Question 5 of 10
Which type of unemployment is characterized by a worker looking for a job
when there is no reason that he or she should not find one?
A. Structural unemployment
B. Seasonal unemployment
C. Frictional unemployment
D. Periodic unemployment
PLEASE HELP ASAP! If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4?
Answer:
12
Step-by-step explanation:
Hello, as the coefficient of the leading term is negative we know that the vertex of the parabola is a maximum. So we need to find the vertex.
This expression is maximum for
[tex]t=-\dfrac{b}{2a} \text{ where the parabola equation is}\\\\ax^2+bx+c=0[/tex]
So, here, it gives t = 8/2=4, and then, the maximum is
[tex]-4^2+8*4-4=-16+32-4=32-20=12[/tex]
So the answer is 12.
Thanks
