Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.The variable x is the number of pairs of pants.
The total cost function for Kelsey will be:
[tex]TC_{K}=17.95\cdot x+24[/tex]
The total cost function for Jeana will be:
[tex]TC_{J}=18.95\cdot x+18[/tex]
Consider that both pay the same total cost for their purchases.
Compute the value of x as follows:
[tex]TC_{K}=TC_{J}[/tex]
[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Two window washers start at the heights shown. One is rising, the other is descending. How long does it take for the two window washers to reach the same height? Explain.
21 ft high
rising 8 in./s
50 ft high
descending 11 in./s
After t seconds, the height of the rising window washer is exactly
nothing feet, and the height of the descending window washer is exactly
nothing feet. Setting these expressions equal to each other and solving for t yields the exact value t
nothing. Rounding to one decimal place, the window washers reach the same height after about
nothing seconds.
(Simplify your answers.)
Answer: 18.32secs
Step-by-step explanation:
given data:
first washer
21 ft high
rising 8 in./s
second washer
50 ft high
descending 11 in./s
Solution:
initial height of first washer = 21 feet
1feet = 12inches
21 * 12 = 252inches
decending at a pace of 8inch/secs
= 252 + 8x
initial height of second washer
= 50 feet
= 50 * 12
= 600inches
descending at a pace of 11inch/secs
= 600 + 11x
At what time would they meet
252 + 8x = 600 + 11x
collect like terms
8x + 11x = 600 – 252
19x = 348
divide both sides by 19
19x/19 = 348/19
x = 18.32secs
Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region
Answer: 1380
Step-by-step explanation:
We have been given that population density is the number of people per unit of area.
Therefore, the population of the region would be 1380 people.
Given y = -7x + 7, the y-intercept is
Answer:
The y-intercept is 7
Step-by-step explanation:
y = slope(x) + y-intercept
What is the slope of the following equation?
Answer: 2-
Step-by-step explanation:
a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?
Answer:
D
Step-by-step explanation:
You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2
a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.
Question 1 Consider the equation 8x + 4y = 64. If we graph the equation, what is the slope of the graph?
Answer:
The slope is 2
Step-by-step explanation:
Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakfast, a further half walking into town and another one-tenth walking round the supermarket. a What fraction of her steps were not taken yet? b That day the device recorded 12 000 steps. How many steps were not taken yet?
Answer:
6000 steps
Step-by-step explanation:
1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3
2/3=12000 steps
1/3=6000 steps
3/3=18000 steps
Her total steps should be 18000 and she has done 12000 steps.
18000-12000=6000 steps
6000 steps were not taken yet.
[tex]1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3[/tex]
[tex]2/3=12000 steps[/tex]
[tex]1/3=6000 steps[/tex]
[tex]3/3=18000 steps[/tex]
Her total steps should be 18000 and she has done 12000 steps.
[tex]18000-12000=6000 steps[/tex]
What is the most important thing when walking?Walking prevents heart disease, raises the heart rate, lowers blood pressure, and strengthens the heart. Postmenopausal women who walk 1-2 miles a day can lower their blood pressure by about 11 points in 24 weeks.
For example, regular and active walking helps maintain a healthy weight and reduce body fat. Prevents or treats a variety of conditions, including heart disease, stroke, high blood pressure, cancer, and type 2 diabetes. Improves cardiovascular health.
Learn more about walking here: https://brainly.com/question/1744272
#SPJ2
can you help me please with my homework
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
choose the equation that represents the graph below A. y = -2x - 4 B. y equals 2x + 4 C. y equals -2 + 4 D. y = 2x - 4
Determine the domain, range and whether each table represents a function.
==========================================================
Explanation:
The domain is the set of all possible x values. The range is the set of all possible y values.
Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.
Heeeeeeeeelp pls I need help
Answer:
I am pretty sure that is is 64
Step-by-step explanation:
but i used a calculator soooo
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
Below is the augmented matrix using the standard form of a quadratic equation that can help you write the quadratic equation going through the 3 points: \large \text{(-1,11) } \large \text{(1,5)} and \large \text{(2,11)} Hint: standard form \large ax^2+bx+c=y
Answer:
1.23
Step-by-step explanation:
123
need help with slope
A florist shop represents its first month’s sales with the equation y = 168 x + 8, where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?
Substitute 3,200 for x.
Add 8 and 3,200.
Divide 3,192 by 168.
Isolate y in the equation.
Answer:
c is correct
Step-by-step explanation:i took the test
Answer:
C
Step-by-step explanation:
A line is represented by the equation y=3x+5. what are the coordinates
What is the value of 9.6 dived by 1.2
Answer:
8
Step-by-step explanation:
1.2 * 8 = 9.6
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Pls help!
Answer:
5 7th Graders
Step-by-step explanation:
Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders
6
13 Which statement about ş multiplied by 4 must be true?
The product is between 6 and 7.
B
6
The product is less than
7.
6
The product is between 5 and 4.
The product is greater than 4.
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
use synthetic division
f(x) = x^3 - 6x + 1 for x = 6
ILL MARK BRAINLIST IF ITS RIGHT !!!
Answer:
181
Step-by-step explanation:
Hope this helps!
Manual is a word processor operator he makes $11.50 an hour determine his gross earnings for a week if he worked 52 hours
$598 basically 11.50•52
solve the question please
what do reflections have that dilation do not
Answer:
A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.
how long will it take you to drive 135 miles at a speed of 45 miles per hour?
Answer:
3 hours
Step-by-step explanation:
divide 135 by 45 to get your answer
which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)
Answer:
y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus
y - 2 = [tex]\frac{1}{3}[/tex](x - 3)
Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .
To Find : The equation of that line .
Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;
[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]
Where ,
a is x - coordinate.b is y - coordinate .m is the slope of the line .Here ,
a = 3 b = -2m = ⅓ .Now , put the respective values ;
[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]
12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c
pls help this is due today
Answer:
50.137
Step-by-step explanation:
You can split the triangle into two triangles both with base 3 and height 12
The area of the two triangles is
[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]
The area of a circle is [tex]\pi r^2[/tex]
so the area of the semi circle with r(adius) 3 is
[tex]\pi r^2/2\\9\pi/2[/tex]
[tex]9\pi/2 + 36 = 50.137[/tex]