Answer:
4.3 hours
Step-by-step explanation:
Let the number of hours Sally does a job = x
Let the number did hours Joan does a job be equal to y
Sally and Joan were able to dust the house in 3 hours together.
1/x + 1/y = 1/3
It takes Joan 10 hours to finish the same job alone.
Hence,
1/x + 1/10 = 1/3
1/x = 1/3 - 1/10
Least common dey = 30
1/x = 10 - 3/30
1/x = 7/30
Cross Multiply
x × 7 = 30
7x = 30
x = 30/7
x = 4.2857142857 hours
Approximately = 4.3 hours
Without help, it would take Sally 4.3 hours to finish the same job.
HELP PLEASE Can you please give an explication when you answer
The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C
Answer:
C. 6°C
Step-by-step explanation:
-3°C + 9°C = 6°C
Noah said, "Division always results in a smaller number. When you divide a number by a second number, the result will always be smaller than the first number."
Jada said, "I disagree. I think the result can be larger or smaller, depending on the number you are dividing by."
Do you agree with Noah or Jada?
LaTeX: 20\div420÷4 results in a number
[ Select ]
20.
LaTeX: 20\div\frac{1}{4}20÷14 results in a number
[ Select ]
20, so
[ Select ]
is correct.
Answer:
Step-by-step explanation:
Greater, provided the divisor is positive.
It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.
If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).
5. How many solutions does the equation
7x + 3x – 8= 2(5x – 4) have? Explain.
Answer:
Your answer is: Infinitely Many
Any value of x makes the equation true. Also, they are all real numbers.
Step-by-step explanation:
If you are solving to find all Complex Number Solutions: ↓
Solve the equation to find all of the complex solutions and that means that equation will be always true.
Hope this helped : )
It will really help if you answer atleast 2 of them
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.
Answer:
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Step-by-step explanation:
Area of a trapezium:
[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]
This formula is valid if b1 and b2 are parallel and h is perpendicular to both.
Since the trapezium given in the problem satisfies those conditions, we use the formula with:
b1=15 cm
b2=7 cm
h=6.8 cm
[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]
[tex]A=74.8\ cm^2[/tex]
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
Find the slope of each line.
8x + y = 10
please help super soon my time is up in 5 minutes
Answer:
The answer is -8
Step-by-step explanation:
Subtracting 8x from both sides to get Y by itself, you would get
Y= -8X + 10, and we know that y=mx+b, where M is the slope, therefore -8 is M and the slope is -8.
Answer:
y = -8x + 10
Step-by-step explanation:
Just move the 8x to the other side of the equation. hope you finish
pleaseee help me answer this
NEED HELP ASAP
A rectangle is labeled truck. A vector that goes down and to the right is labeled 7,500 pounds and the terminal point is labeled tow truck 2. A vector that goes up and to the right is labeled 10,000 pounds and the terminal point is labeled tow truck 1. The angle between the vectors is 110 degrees. The angle between tow truck 2 and the x-axis is 60 degrees.
A pair of tow trucks are pulling on a trailer that is stuck in mud. The first truck pulls with a force of 10,000 pounds at a 110° angle from the second truck, which is pulling with a force of 7,500 pounds. What is the magnitude of the resultant force?
9,821 pounds
10,244 pounds
14,405 pounds
24,226 pounds
Answer:
10,244 pounds
Step-by-step explanation:
|R|= √(7,500+10,000cos110)²+(10,000sin110)²
|R|= about 10,244 pounds
thats how i did it :I
Answer:
B
Step-by-step explanation:
Edge 2021
P(-2, -3) and Q(2, 7)
Answer:
The slope is 10/4
Step-by-step explanation:
Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's
Answer: she can buy it for 5 friends
Step-by-step explanation:
$35(budget)- $15(craft booth) =$25
then $25 divided by $4 equals 5
So 5 people she can but for.
Which equation represents the line that passes through points B and C on the graph?
A. Y=2x-6
B. Y=2x+10
C. Y=2x-6
D. Y=2x+10
Find the missing term ___,48,12,3
Answer:
192
Step-by-step explanation:
It’s the answer
At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch
Answer:
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t
Step-by-step explanation:
The given parameters are;
The initial velocity of the rocket, v = 138 feet per second
The vertical motion formula = h(t) = 0.5·a·t² + v·t + s
The gravitational constant, a = -32 ft./s²
s = The initial height of the rocket
Therefore, he have;
The height of the rocket, t seconds seconds into launch is given as follows;
Height = h = h(t) - s = 0.5·a·t² + v·t
Substituting the known values gives;
h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t
h = -16·t² + 138·t
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.
Solve for y.
14-y= b
The value of y in the expression 14 - y = b is y = 14 + b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.
Therefore,
14 - y = b.
- y = b - 14.
- ( - y) = - (b - 14).
y = 14 + b.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
If the sinø=7/12, what is cosø?
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Help me ASAP for this question.
Answer:
<6 and <8
<1 and <7
Step-by-step explanation:
Supplementary are angles that add up to 180 degrees. (A straight line)
(-1)(-11) please solve!!
Answer:
A positive 11
Step-by-step explanation:
11 is your answer
What is the best estimate of the measure of the angle shown?
*answer was incorrect please see below*
Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?
Answer:x = 0.028571 cm3
Step-by-step explanation:
I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?
So, let x be the volume in cubit centimeters.
the mass is to the volume is as the mass is to the volume
3.5g /(1 cm3) = 0,1g / (x cm3)
Cross-multiply to get:
3.5x = 0.1
x = 0.1 / 3.5 (divide both sides by 3.5)
x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)
PLEASE HELP W MATHHHH
Answer:
(15m^2 + 5)
Step-by-step explanation:
(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)
15m2 + 0m + 5
=> 15m^2 + 5
Answer:
try adding all the sides up
Step-by-step explanation:
Help ASAP I need it quick please and thank you!!!!!
‘P' is the path of a point moving at the same distance from a fixed point ‘Q'. The fixed distance is ‘R' and the distance around the circle is ‘S'. What is P, Q, R, S?
Answer: P is arc; Q is the centre of the circle; R is the radius; S is the circumference
Step-by-step explanation: P is arc: it is a continuous part of the circumference (S) of the circle;
Q is the centre of the circle which is at any point in time R points away from P;
R is the radius: the line segment between any point of a circle and its centre, Q;
S is the circumference of the circle: the line that bounds a circle.
The equation that represents the linear relationship is y =
Will give brainlist
Answer: Y=150
Step-by-step explanation: SIMPLE MATH
You are deciding whether to buy a car for $ or to accept a lease agreement. The lease entails a $ fee plus monthly payments of $ for months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $. Complete parts a through c below.
Answer:
a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore given as follows:
You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.
a. Should the cost of service and insurance determine which option you choose?
A. Yes, because you probably don't have to pay for services when you buy the car.
B. No, because it is cheaper to lease the car than to buy it.
C. No, because you will probably have to pay for service and insurance with either plan.
D. Yes, because you get a discount on your insurance when you lease the car.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)
B. No, the total cost of the car at the end of the lease is $___(fill in the blank)
c. What are some possible advantages of leasing the car?
A. You can sell the car whenever you want and you can make money on the car when you sell it.
B. The insurance costs less and you get a service discount.
C. You can give the car back whenever you want and you can get a new car whenever you want.
D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
The explanation of the answer is now provided as follows:
a. Should the cost of service and insurance determine which option you choose?
No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.
Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
From part a above, it is stated that the cost of service and insurance should not determine which option to choose. Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.
This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.
Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:
Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400
Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. What are some possible advantages of leasing the car?
Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.
Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Which ordered pair is a solution of the equation?
5x−2y=18
Answer:
Step-by-step explanation:
5x−2y=18
5(0)−2y=18
-2y=18
y=-9
5x−2(0)=18
5x+0=18
5x=18
x=18/5
Vote you brainiest please help me
Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this function.
Answer choices
a.y=-3x+2
b.y=x+2
c.y=3x-7
d.y=3x+2
Answer:
A
Step-by-step explanation:
I included the steps in the picture I attached. lmk if you need me to explain more
g(x)=17-2/3x;g(6)
please help me i only have 5 mins left
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)