Answer:
r= x + 3
Step-by-step explanation:
They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3
PLEASE HELP DUE TODAY
Answer:
is it your homework?
Step-by-step explanation:
Teresa earns $8.23 per hour. Calculate her wage for a week where she
works 14h 30min.
Answer:
$119.335
Step-by-step explanation:
8.23 per hour
14h 30 mins = 14.5 hrs
8.23*14.5 = 119.335
Answer:
238.67
Step-by-step explanation:
Joe and JoAnn each bought 12 ounces of coffee in a 16 ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee
Answer:
[tex]Ratio = 7:6[/tex]
Step-by-step explanation:
Given
Initially
[tex]Joe = 12oz[/tex] -- coffee
[tex]JoAnn = 12oz[/tex] -- coffee
Joe drank 2oz coffee; So, we have:
[tex]Joe = 12oz - 2oz[/tex]
[tex]Joe = 10oz[/tex] --- coffee
Joe added 2oz cream; So, we have:
[tex]Joe = 10oz[/tex] --- coffee [tex]Joe = 2oz[/tex] --- cream
JoAnn added 2oz cream and stirred. So, we have:
[tex]Joe = 12oz[/tex] --- coffee [tex]JoAnn = 2oz[/tex] --- cream
[tex]Total = 14oz[/tex]
JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:
[tex]JoAnn = \frac{Cream}{Total}[/tex]
[tex]JoAnn = \frac{2}{14}[/tex]
[tex]JoAnn = \frac{1}{7}[/tex]
Amount of cream left is:
[tex]Amount = [1- \frac{1}{7}] *2[/tex]
Take LCM
[tex]Amount = [\frac{7-1}{7}] * 2oz[/tex]
[tex]Amount = \frac{6}{7} * 2oz[/tex]
[tex]Amount = \frac{12}{7}oz[/tex]
So, we have:
[tex]Joe = 2oz[/tex] --- cream
[tex]JoAnn = \frac{12}{7}[/tex] cream
The ratio is:
[tex]Ratio = 2:\frac{12}{7}[/tex]
Multiply by 7
[tex]Ratio = 14:12[/tex]
Divide by 2
[tex]Ratio = 7:6[/tex]
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
Translate the phrase into an algebraic expression.
The product of 9 and y
Answer:9*y or 9y
Step-by-step explanation:
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?
Using Pythagorean triplet
[tex]\\ \sf\longmapsto AB^2=AC^2-BC^2[/tex]
[tex]\\ \sf\longmapsto AB^2=4^2-3^2[/tex]
[tex]\\ \sf\longmapsto AB^2=16-9[/tex]
[tex]\\ \sf\longmapsto AB^2=7[/tex]
[tex]\\ \sf\longmapsto AB=\sqrt{7}[/tex]
Now time=35[tex]\\ \sf\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{\sqrt{7}}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{2.6}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=0.07m/s[/tex]
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
**25 POINTS**
Which of the following lists of ordered pairs is a function?
Answer: A
Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test
Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.
Answer:
A
Step-by-step explanation:
No solution because the line will never intersect each other (cuz the gradient is the same)
Consider triangle GHJ in the figure below.
please help :)
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answer: Interest rate she needs to look for is 5%
Step-by-step explanation:
P = 5000
A = 5000*2 = 10,000
T = 20 yrs
R = ?
now
I = A-P
I = 10,000-5000
I = 5000
Now
R = 100*I/P*T
R = 100*5000/5000*20
so, R = 5%
Match the expression with its name. 6x3 - 9x + 3
Answer:
x is 1.7 add it by three and its 18 you can do this by doing 9 times 1.7 which gets you 15 and add it with three and it equals 6 times 3
Step-by-step explanation:
what is the value of x
Answer:
-10
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
Write the equation of the sinusoidal function shown.
Answer: A
It looks at though the graph moved down a unit, so definitely a (-1) at the end of the function. If you move the graph up a unit, you will notice that the y = cos x format, therefore, it's not C or D.The amplitude of the function is 1. So B and D are out because their amplitudes are 2.Therefore, the answer is A.
Can some help me with this question :)
Answer:
3/7
Step-by-step explanation:
I think its only 3/7
Cause 9/18=1/2
3/5=0.6
2/10=1/5
and 8/24=1/3
Answer:
[tex] \frac{8}{24} [/tex]
[tex] \frac{2}{10} [/tex]
[tex] \frac{9}{18} [/tex]
SEE QUESTION IN IMAGE
Answer:
1.54
Step-by-step explanation:
First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as
1.67 = sum / 20
1.50 = sum / 16
1.40 = sum / 14
Multiplying each equation by the number of students in the group to isolate the sum, we get
1.67 * 20 = 33.4
1.50 * 16 = 24
1.40 * 14 = 19.6
We can sum these up to get the total sum of all three groups of students, resulting in
33.4 + 24 + 19.6 = 77
As mean = sum / number of students, we can say that
total mean = total sum / total number of students
total mean = 77 / (20+16+14)
= 77/50
= 1.54
Find the surface area of the composite figure. 12 cm 11 cm 5 cm 7 cm 3 cm 4 cm 4 cm 12 cm SA = [?] cm? Enter
Answer:
116cm2
Step-by-step explanation:
ddyjjhffyyyttyu
What is the image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin
Answer:
(-15,-15)
Explanation:
The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.
Mean of Frequency Tables
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency:
3 8 12 4 1
Answer: 1. 41.67years
2. £9.21
3. 7.75cm
Step-by-step explanation:
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
Total ages = (30 × 30) + (40 × 40) + (50 × 50) = 900 + 1600 + 2500 = 5000
Total number of people = 30 + 40 + 50 = 120
Average age = Total ages / Total number of people
= 5000/120
= 41.67 years
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
Total cost of items = (30 × £6) + (55 × £9) + (10 × £20) = £180 + £495 + £200 = £875
Total number of items = 30 + 55 + 10 = 95
Average cost per item = £875/95 = £9.21
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency: 3 8 12 4 1
Total height = (3 × 6cm) + (8 × 7cm) + (12 × 8cm) + (4 × 9cm) + (1 × 10cm) = 18cm + 57cm + 96cm + 36cm + 10cm = 217cm
Total number of turnips = 3 + 8 + 12 + 4 + 1 = 28
Average height = 217cm/28 = 7.75cm
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
Simplify the following:
a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A
Answer:
19 sin + 20 cosec
explanation
9 sin A + 10 sinA + 33 -13 cosecA
19 sin + 20 cosec
An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles
Answer:
75 and 75
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
2 solutions:
30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
Answer:
x= -1
Step-by-step explanation:
Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.
Given that the line passes through (-1, 2), the equation of the line is x= -1.
Parallel lines have the same slope and will never meet.
Help ASAP plssss! Thanks
Points are
(-2,-2)(4,4)[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(4+2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+6^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]
[tex]\\ \sf\longmapsto \sqrt{72}[/tex]
[tex]\\ \sf\longmapsto 8.4[/tex]
What is the length of ST?
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
I need help asap!!Explain how to do the problem
Answer:
Step-by-step explanation:
the scale factor is 2. one length is 10, and the other is 5. pythagorean therom approved.
Suatu jenis bakteri, setiap detik akan membelah diri menjadi dua, jika pada saat permulaan ada 5 bakteri, berapakah jumlah bakteri setelah 10 detik? (geometric series=deret geometri)?
Answer:
Vc. Tính giai cấp
Step-by-step explanation:
I am so confused..please help 0-0
Fergus has 314 cups of oats. She uses 223 cups of oats to make oatmeal bars, then borrows 1 cup of oats from her neighbor. She wants to make blueberry oat muffins. The recipe calls for 134 cups of oats. Does she have enough? How much will she have left over, or how much more will she need?
�� Yes, she has 34 cup left.
�� No, she needs 34 cup more.
�� Yes, she has 16 cup left.
�� No, she needs 16 cup more
Answer:
No, she needs 1/6 cup more
Step-by-step explanation:
She has 3 1/4 cups
She uses 2 2/3
Subtract
3 1/4 - 2 2/3
Get a common denominator of 12
3 1/4 *3/3 - 2 2/3 *4/4
3 3/12 - 2 8/12
Borrow 1
2 12/12 +3/12 - 2 8/12
2 15/12 - 2 8/12
7/12
She borrows 1 cup
1 7/12
She needs 1 3/4 *3/3 =1 9/12
She is short
1 9/12 - 1 7/12 = 2/12 or 1 /6
Answer:
Yes, she will has 34 cups left
Step-by-step explanation:
