Answer:
29%
Step-by-step explanation:
48-34 = 14 dollar saving
14/48 = 29.17 % = 29% saving
Answer:
29%
Step-by-step explanation:
48-34= 14 dollar saving
14/48 = 29.17% = 29% saving
solve systems by substitution method x + y = 20 3x + 4y = 72
Answer:
x = 8; y = 12.
Step-by-step explanation:
x + y = 20
x = -y + 20
3x + 4y = 72
3(-y + 20) + 4y = 72
-3y + 60 + 4y = 72
y = 12
x + 12 = 20
x = 8
Check your work!
3(8) + 4(12) = 72
24 + 48 = 72
72 = 72
Hope this helps!
Answer:
X=-12 and Y= 32
Step-by-step explanation:
x+y=20 -> 1
3x+4y=72 -> 2
Form 1,
[x+y=20]×4
4x+4y=60 ->3
Form 2,
3x+4y=72
4y= 72 -3x ->4
Sub (4) into (3)
4x+72-3x= 60
x = -12
Sub X=-12 into (1)
-12+y=20
y= 32
Hope this helps.
Previous problem : From Andy's house to Billy's hometown you can travel by 3 roads. And to get from Billy's hometown to Willie's house you can travel by 5 roads. How many possible ways are there to travel from Andy's house to Willie's house? From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answer:
Andy's house to Billy's hometown 15 ways
Andy's house to Willie's hometown 2 ways.
Step-by-step explanation:
Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.
HELP ASAP MONEY & WAGES!
Answer: $26.70 per hour
Step-by-step explanation:
Regular hours consists of 8 hrs
Overtime hours is 12 - 8 = 4 hours
Regular pay at "x" per hour = 5(8)(x) = 40x
Overtime pay at "2x" per hour = 5(4)(2x) = 40x
Total pay = 80x
Total Pay = $2136 = 80x
[tex]\dfrac{\$2136}{80}=x[/tex]
$26.70 = x
I need help i will mark brainliest please
Answer:
1) true
2) false
hope it worked
and pls mark me as BRAINLIEST
Which expression is equivalent to 10 to the 4 power? A.) 10 times 10 times 10 times 10 B.) 40 C.) 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 D.) 4,444,444,444
Answer:
A
Step-by-step explanation:
Here in this question, we want to select which of the options particularly represents what was given in the question.
Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.
So 10^4 is pronounced as the first option in the question.
10 raised to power 10 , raised to power 10 etc
Jane’s mobile phone plan charges $0.05 per minute at daytime rates before 8 p.m. and $0.03 per minute at nighttime rates after 8 p.m. A conference call costs 1.5 times the normal rate. Calculate the cost of a conference call lasting from 7 p.m. to 8:30 p.m.
Answer
5.85
Step-by-step explanation:
$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5
$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35
So 4.5 + 1.35 = 5.85
Answer:
Step-by-step explanation:
Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075
Cost of the conference call after 8 pm = 0.15 * 0.03 = $ 0. 045
Cost of the conference call from 7pm to 8pm that last 60 minutes= 0.075 * 60
= $ 4.50
Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35
Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85
In which quadrant or on which axis do each of the points (2, 3 ), ( 5, -6 ), ( 2,0 ) , ( -5, 2 ), (-2,-4), (0,-2).
from the above picture
2,3 = 1 quadrant
5,-6 = 4 quadrant
2,0 = on x axis
-5,2 = 2 quadrant
-2,-4 =3 quadrant
0,-2 = on y axis
PLEASE ANSWER ASPAA The x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
Answer:
x = 6
Step-by-step explanation:
The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:
2(0) - x = -6
0 - x = -6
-x = -6
x = 6
Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.
Triangle TQRS Find the value of x.
O x = 2
O x = 3
O x= 33
O x= 52
Answer:
x=3
Step-by-step explanation:
To solve for x, we will follow the steps below:
First note that exterior angle =two opposite interior angle
From the diagram below
(25x) ° + (57 + x)° = (45x)°
25x° + 57° + x° = 45x°
next step is to collect the like term
45x° - 25 x° - x° = 57°
19x° = 57°
Divide both-side of the equation by 19
19x°/ 19 = 57° /19
On the left-hand side of the equation 19 will cancel out 19 leaving us with just x° while on the right-hand side of the equation 57 will be divided by 19
x = 3
Last week Lisa had a gross earning of $1441.30. Cathy receives a base salary of $375 and a commission on sales exceeding her quota of $5000. What is her rate of commission if her sales were $6560?
Answer:
4.25%
Step-by-step explanation:
Commision = 441.30 - 375 = 66.30
Commision is based on = 6560-5000 = 1560
Rate of Commision = (in decimal) 66.30/1560 = 0.0425
Rate of Commision = 0.0425 * 100 = 4.25 %
GIVING BRAINIEST (open attachment)
Answer:
1/19
Step-by-step explanation:
Let's say there are x yellow cubes.
That means there are 3x blue cubes.
Therefore, there must be 15x green cubes.
In total: we have 19x cubes.
Therefore the probability of a cube being yellow is x / 19x
which simplifies to 1/19
Answer:
1/19
Step-by-step explanation:
Solution:-
- First we will define the distribution of colors in the bag.
- We will use variable:
x: the number of yellow cubes in bag
- The following color distribution can be made by using the data given in the question:
Color Number of cubes
Yellow x
Blue 3*x = 3x
Green 3x*5 = 15x
======================================
Total 19x
======================================
- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.
p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]
p ( Picks Yellow cube ) = [ x ] / [ 19x ]
p ( Picks Yellow cube ) = 1 / 19 .... Answer
The population of a certain type of seahorse grew by 13% from year to year.
Should the be modeled linear function or Exponential function ?
Answer: Exponential function
Step-by-step explanation:
A linear function is the form[tex]f(x)=mx+c[/tex] , where m is the constant rate of change of y with respect to x and c is the y-intercept.
An exponential growth function is in the form [tex]f(x)=A(1+r)^x[/tex], where r is the rate of growth (generally in percent) and A is initial value.
If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .
Hence it is an exponential equation.
Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Required
Why is the function not continuous at x = 3
First substitute 3 for x at the denominator
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Factorize the numerator and the denominator
[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]
[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]
[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]
Divide the numerator and denominator by (x - 3)
[tex]f(x) = \frac{x+2}{x+3}[/tex]
Substitute 3 for x
[tex]f(3) = \frac{3+2}{3+3}[/tex]
[tex]f(3) = \frac{5}{6}[/tex]
Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;
Then the function is continuous
Answer:
A: f is not defined at x = -3
Step-by-step explanation: EDGE 2020
Can someone help me solve this :): ?
( brainliest to the correct answer/explanation)
Answer:
1and1/2yrs ago
Step-by-step explanation:
price dis year= 56545
reduction per year= 11309
...number of years ago = 73810-56545=17265
and is about 20% of annual deductions
so if 56545 +20% + 1/2 20% = 1nd1/2 yrs
WILL GIVE BRAINLEIST!!!!!
Find the surface area of the right triangular prism shown below.
Answer:
144 units²
Step-by-step explanation:
Surface area of a traingular prism is given as:
Area = 2(B.A) + P*L
Where,
B.A = base area of the triangular prism = ½*b*h
b = base of the triangular base = 4 units
h = height of the triangular base = 3 units
Base Area (B.A) = ½*4*3 = 2*3 = 6 units²
P = Perimeter of triangular face = sum of all sides the triangle = 3 + 4 + 5 = 12 units
L = length or height of prism = 11 units
Plug in all values into the formula for surface area of triangular prism = 2(B.A) + P*L
[tex] Area = 2(6) + 12*11 [/tex]
[tex] = 12 + 132 [/tex]
[tex] Surface Area = 144 [/tex]
Surface area of the triangular prism = 144 units²
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,600. A random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05. The confidence interval for this hypothesis test would be ________.
Answer:
A 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
Step-by-step explanation:
We are given that a random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample average debt load = $18,800
[tex]\sigma[/tex] = population standard deviation = $4,800
n = sample of students = 28
[tex]\mu[/tex] = population average debt load
Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 5% level of
significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]\$18,800-1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] , [tex]\$18,800+1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] ]
= [$17,022.05, $20,577.94]
Therefore, a 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
(1/16)^(x+3) = (1/4)^(x+1)
Answer:
x=-5
Step-by-step explanation:
The answer is x = -5. The explanation and answer is in the image below.
A rectangle has a height of 2 and a width of 5x^2-2x+3x
Express the area of the entire rectangle.
Expression should be expanded.
how would I do this?^^ if you can break down the steps for me that'd be amazing!
Answer:
[tex] area = 10x^2 - 4x + 6 [/tex]
Step-by-step explanation:
Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]
Area of the whole rectangle can be calculated as:
[tex] area = 2(5x^2 - 2x + 3) [/tex]
Use the distributive property of multiplication by using 2 to multiply each term in the expression, [tex] (5x^2 - 2x + 3) [/tex]
[tex]area =2(5x^2) +2 (-2x) + 2(3)[/tex]
[tex] area = 10x^2 - 4x + 6 [/tex]
If point Q is reflected across x = 1, what are the coordinates of its reflection image?
Answer:
(-1, -2) last answer
Step-by-step explanation:
x = 1 is a vertical line
Answer:
(-1, -2)
Step-by-step explanation:
This is because the x-coordinate goes 2 units left to the line x = 1 and the y-coordinate remains the same.
what is the domain of the function represented by the graph.?
Answer:
all real numbers
Step-by-step explanation:
There is nothing on the graph to indicate the function is undefined for any values of x. The domain is all real numbers.
Answer:
Domain is all real numbers.
Step-by-step explanation:
The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x.
what is the product of (-a+3)(a+4)?
[tex](-a+3)(a+4)=-a^2-a+12[/tex].
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi
Answer:
288π
Step-by-step explanation:
V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.
Two cards are selected at random from a standard deck of cards. What is the probability that you select a king or a queen? (If your answer will reduce, you should reduce it.) Also show you're work
Answer:
2/13
Step-by-step explanation:
In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.
Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.
Hope this helps!
Combine like terms.
3p2q2-3p2q3+4p2q3-3p2q2+pq
Answer:
104
Step-by-step explanation:
:D
Jeff's sister drives 14 miles to her collage his brother only drives 5/7/10 miles to his collage how much farther does Jeff's sister drive than his brother
Answer:
8.3miles
Step-by-step explanation:
Here Jeff's sister drives 14 miles
his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow
14miles -57/10 miles
= 83/10
= 8.3miles
Therefore, Jeff's sister drive 8.3miles farther than his brother
WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))
Answer:
(A) No solution
(B) One solution
(C) One solution
(D) One solution
(E) No solution
Please tell me if this is incorrect. I hope this helps!
N students joined the radio control club. Some had boats, some had airplanes, and some had cars. They divided into 3 equal groups according to what model each one had. Ten more students joined the radio-controlled airplane group. There are 15 students in this group now. How many students joined the radio control club in the beginning?
Answer:
36 people joined the radio control club.
Step-by-step explanation:
15-3= 12
12*3=36
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
-
1
5.75 cm
1
1
The area of the shape is __
square centimeters.
Answer:
shape AREA= 35cm^2
Step-by-step explanation:
you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.
A=h/2(b1 + b2) for trapezoid
A=2/2((4+4)+4)
A=1*12
A=12cm^2
A=bh/2. for TRIANGLE
A=1/2((4+4)*5.75)
A=1/2(46)
A=23cm^2
shape AREA= triangle AREA + trapezoid AREA
shape AREA=12cm^2 + 23cm^2
shape AREA= 35cm^2
Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?
Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
4) John's sister is 8 years less than twice his age. If John is 39, what age is his sister?
Answer:
Sister is 70
Step-by-step explanation:
John is 39.
8 less than twice his age is
39*2-8 = 70
Answer:
70 years old.
Step-by-step explanation:
Since John's sister is 8 years younger than TWICE his age, we just need to multiply 39*2 which equals 78. Now we just need to subtract 8 which equals 70.
Hope this helps!! <3