Answer:
A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
Lucy and Zachary work at a furniture store. Lucy is paid $200 per week plus 7.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 200 + 0.075 x g(x)=200+0.075x. Zachary is paid $233 per week plus 6% of his total sales in dollars, x x, which can be represented by f ( x ) = 233 + 0.06 x f(x)=233+0.06x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Answer:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
Step-by-step explanation:
For this case we have the following function for the total sales of Lucy is given by:
[tex] g(x) = 200 +0.075 x[/tex]
And the function for the total sales of Zachary is given by:
[tex] f(x) =233 +0.06 x[/tex]
And we want to determine the value of x, in dollars, that will make their weekly pay the same, so we can set equal the two functions:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
What does it mean for points to be colinear?
Answer:
Three or more points that lie on the same line are collinear points .
Step-by-step explanation:
In an election, 471 people voted. Candidate B received 2/3 of the votes. How many votes did Candidate B receive?
Answer:
Step-by-step explanation:
471/3 * 2 = 314
Answer:
Candidate B has 165 votes
Step-by-step explanation:
Change 125 mm into centimetres.
Answer:
12.5 cm
Step-by-step explanation:
divide 125 by 10 to get 12.5
Answer:
12.5 cm
Step-by-step explanation:
10 mm=1 cm
so 125 mm=125:10 cm=12.5 cm
Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.
Answer:
Step-by-step explanation:
A) One student is chosen from Classroom A, then a student is chosen from Classroom B
the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause
Eight hotdogs at the basketball park cost $28 how much does one hotdog cost
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
The vertex of this parabola is at (-3, -2). Which of the following could be its equation?
A) y= -2(x +3)^2 +2
B) y= -2(x +3)^2 -2
C) y= -2(x -3)^2 +2
D) y= -2(x -3)^2 -2
“Help me get my feet back on the ground”
Answer:
Angle 2
Step-by-step explanation:
Remember the X, whatever is opposite to the given angle.
Answer:
angle 2 is the answer my dude
Step-by-step explanation:
WORTH 50 POINTS AND BRAINLIEST NO FAKE ANSWERS NO PLAGIARISM OR WILL REPORT ALSO WRITE 4 SENTENCES. A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short paragraph, explain what you can conclude about the four tangent segments?
Answer and Step-by-step explanation:
These four tangents are all equal in length. By definition, you can draw two tangent lines from a point outside a circle that will touch the circle. These two tangent lines are always congruent. Looking at the two leftmost lines, they are tangents of the nickel, so we can say that they're congruent. Looking at the middle two lines, we see that they must be equal, as well, since they're tangent lines to the dime, but we notice that the second leftmost line is shared by the nickel and the dime. So, these three must all be congruent. By similar reasoning, the rightmost line is congruent to the other three. Thus, all four tangent lines have the same length.
Answer:
Tangents drawn from the same point are equal in length.
Since the middle coin share tangents with the coins on either sides, all tangents are equal in length.
Ben I love kids then with a speed of 51 miles per hour Melanie also left at the same time in the opposite direction at a speed of 42 my husband our find how many hours mowing must travel to of course they are 360 miles apart
Answer:
Time when Ben and Melanie are 360 miles apart = 3.871 hours.
Step-by-step explanation:
The question seems unclear, but the sense that could be made from this question is that
Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.
Let the required time be t.
Let the distance covered by Ben in t hours be x miles.
Let the distance covered by Melanie in t hours be y miles.
Total distance covered = x + y = 360 (eqn 1)
speed = (distance/time)
For Ben
51 = (x/t)
x = (51t) miles
For Melanie
42 = (y/t)
y = (42t) miles
Substituting for x and y in eqn 1
x + y = 360
51t + 42t = 360
93t = 360
t = (360/93) = 3.871 hours.
Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles
Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles
Hope this Helps!!!!
Find the distance between (-10,-7),(-8,1)
Answer:
6.325
Step-by-step explanation:
2x-y+5=8 in slope-intercept form please!
Answer:
y= 2x - 3
Step-by-step explanation:
slope intercept form: y= mx + b
Answer:
y= 2x-3
Step-by-step explanation:
2x-y+5=8
-y= 8-2x-5
-y=-2x+3
-1(-y=-2x+3)
= y= 2x-3
A cone and a cylinder have the same base and height as shown below. The volume of the cylinder is 84*3.14in. What can be concluded about the volume of the cone . Check all that apply
Answer:
28*3.14in
Step-by-step explanation:
Let's consider the formula of these shape first.
For the cylinder
Volume = πr²h
While for the cone
Volume = 1/3πr²h
Just mere looking at the formula we know that if the volume of the cylinder is given, that of the cone will be 1/3 of it.
From the question .
The two have same base and height, indicating equal radius also.
If the volume of the cylinder is 84*3.14in then that of the cone will he 1/3 of 84*3.14in = 28*3.14in
EVERYTHING IS DUE IN 2 HOURS AND I CANT FIGURE THIS OUT AND CANT CONTINUE WITHOUT IT PLEASE HELP a)find the probability that a randomly selected student from ms laytons class failed the test
b) find the probabbility that a randomly selected student who failed the test from mrs d’s class.
Answer:
Step-by-step explanation:
Answer -
a) 50% or 1/2
Explanation -
12+12=24
therefore, 12/24 = 1/2 which is 50%
b) 46.43% or 13/28
Explanation -
15+13=28
therefore, 13/28 which is 46.6%
Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6 nietos en la feria. ¿Cuánto dinero gastó Juanita?
Answer:
$54
Step-by-step explanation:
she had 6 grandchildren and she used $9 for one grandchild so we multiply
9 x 6 = $ 54
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005\,\text{cm}0.005cm0, point, 005, start text, c, m, end text in diameter, and Eduardo's strand was 0.012\,\text{cm}0.012cm0, point, 012, start text, c, m, end text in diameter. How much greater was the diameter of Eduardo's hair?
Answer:
30x2010x943
Step-by-step explanation:
219x29192
Answer:
0.007
Step-by-step explanation:
A car odometer showed 6,437.5 miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven 422.3 miles?
Answer:
The odometer showed 6,015.2 miles at the beginning of the trip.
Step-by-step explanation:
The odometer increases according to the number of miles traveled.
Before the trip, it showed x miles.
During the trip, the car was driven 422.3 miles.
After the trip, it showed 6,437.5 miles.
So
x + 422.3 = 6437.5
x = 6437.5 - 422.3
x = 6,015.2
The odometer showed 6,015.2 miles at the beginning of the trip.
A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.
Answer:70
Step-by-step explanation:
Answer:
this is SUPER late but it is 1/2 x 632
Step-by-step explanation:
6x^2-x-26 x 2 − x − 2
(2x-3)
(2x-1)
(2x+1)
(3x+2)
Answer:
3x+2
Step-by-step explanation:
i had a test with the same question, i promise its right :)
If f(x) = x + 2 and g(x) = 3x + 4, then f(g(x)) = ? A) 3x + 6 B) 3x + 10 C) 3x2 + 6x + 4 D) 3x2 + 10x + 6
Answer:
A. 3x+6
Step-by-step explanation:
To answer this problem you would want to replace the g(x) equation with for the x in the f equation and solve/simplify.
f(x)=x+2, g(x)=3x+4
(3x+4)+2
3x+6
Which expression is equivalent to mn+z
A bowl contains 7 pennies, 9 nickels, and 4 dimes. Elyse removes one coin at random from the bowl and does not replace it. She then removes a second coin at random. What is the probability that both will be dimes?
Answer:
The probability is 3/95
Step-by-step explanation:
Okay this is a probability without replacement question.
Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins
The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5
Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19
Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes
= 1/5 * 3/19 = 3/95
Micheal brought 15 pounds of flour for $6. How many dollars did he pay per pound of flour?
Answer:
$.40 per pound
Step-by-step explanation:
6/15
The bottom number (if that were to be in fraction from) would be the number you want as 1. So you want the price of ONE pound of flour.
Hope I was helpful! :)
70 % of 90 please give all right answers this is the last question of this assignment and i dont want to fail
5/4=y−14 help meeeee
Answer:
y= 61/4
Step-by-step explanation:
-y=-14-5/4
-y=-61/4
-1(-y=-61/4)
y= 61/4
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3
Awnser
8 gallons of cans
in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?
Answer:
80/89
Step-by-step explanation:
This is the real answer!! No tricks
The ratio to represent the cosine of ∠B is,
⇒ 80 : 89
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔBCD,
The measure of ∠D=90°, CB = 89, BD = 80, and DC = 39.
Now, We know that;
⇒ cos θ = Base / Hypotenuse
Her, By the given information, we get;
⇒ cos B = Base / Hypotenuse
⇒ cos B = BD / CB
⇒ cos B = 80 / 89
Thus, The ratio to represent the cosine of ∠B is,
⇒ 80 : 89
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answer:
sky im going with A
Step-by-step explanation:
What is the value of the expression (2 Superscript 4 Baseline) squared?
Answer:
{(2^4) }^2
=16^2
= 256
................
Answer:
256
Step-by-step explanation:
