Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:
[tex]\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}[/tex]
Rationalize the denominator by multiplying both numerator and denominator by √10:
[tex]\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}[/tex]
Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):
[tex]\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}[/tex]
If buyers and sellers expect higher gasoline prices next week,
a. demand increases and supply decreases today, therefore the equilibrium price increase today
b. demand will increase and supply will decrease next week, therefore the equilibrium price increase next week
c. the demand for gasoline will be unaffected, and the effect in supply is uncertain.
d. demand decreases and supply increases today, therefore the equilibrium price decrease today
Answer:
a. demand increases and supply decreases today, therefore the equilibrium price increase today
Step-by-step explanation:
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?
Answer:
450
Step-by-step explanation:
60 x 7.5=450
Help you get la fouge candy.
Answer:
2520 gallons
Step-by-step explanation:
According to the hint, one gallon is four quarts.
10,080/4 = 2520
10,080 quarts should be 2520 gallons.
Hope this helps.
solve----------------------------------------------------
9.A bucket contains 25 kg of jelly beans.Cups containing 1.8 kg of jelly beans are measured out from the bucket.
a)How many full cups can be measured out?
Answer:
13
Step-by-step explanation:
You divide 25 by 1.8 and it gives you 13 full cups.
2
7
Kami received 2,300 votes in
a town election. She
received 190 more than of the total
number of votes. Determine the
total number of residents that voted
in the town election.
5
-
Answer:
2490
Step-by-step explanation:
2300 votes plus 190 votes will be 2490 vote .one person is equals to one vote
Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?
Answer:
the unit price would be 8.125
Step-by-step explanation:
what are the importance of statistics in estate management?
Please help with this
Answer:
THE ANGLES
Step-by-step explanation:
The line graph below shows the profits of Cara's lemonade stand over the past four weeks. If her profits continue to increase at the same rate, what will her profit be on the 8th week? A. $5.20 B. $5.90 C. $6.60 D. $7.30
Answer:
C
Step-by-step explanation:
Bino has answered 15 % of the questions on her ELA homework If she has 25 questions for her homework , how many has she answered?
The square pyramid shown below has a base with sides of 10 units. The slant height of the pyramid is 8 units. What is the vertical height, h?
Make a right triangle by using half the base and using the Pythagorean theorem calculate the height.
Height = sqrt(8^2 - 5^2)
Height = sqrt(64 - 25)
Height = sqrt(39)
Height = 6.245 ( Round the answer as needed).
Answer:
6.2
Step-by-step explanation:
We can use the Pythagorean Theorem to find h.
The equation for the Pythagorean Theorem is a^2+b^2=c^2
We see that the hypotenuse of the right triangle is 8. One leg is h. The other leg is 5 , which is half the length of the base.
We have:
a^2+b^2=c^2
5^2+h^2=8^2
25+h^2=64
h^2=39
h= square root of 39
h = 6.244
6.2
PLEASE HELP!this is dueee
Answer:
Solve all the equations.
2+n = 6
n = 4
n + 6 = 12
n = 6
4 × n = 24
n = 6
n × 3 = 2
n = 2/3
The bold equations are the answers.
Hope this helps :)
Step-by-step explanation:
Answer:
all other than the 3rd one
Step-by-step explanation:
Combine like terms to simplify 12x+4y-3x+2-8y²+3²
Answer:
−8y2+9x+4y+11
Step-by-step explanation:
Answer:
−8[tex]y^{2}[/tex]+3x+11
Step-by-step explanation:
Charlene went to the grocery store to pick up some items for her party. She bought 3 times as many bags of potato chips as bags of pretzels. She bought a total of 18 bags of potato chips. Let brepresent the number of bags of pretzels Charlene bought. Which of the following represents an equality between two different ways to express the total number of bags of potato chips she bought? A. 3 = 18 B. 3b + b = 18 C. b +3 = 18 D. 3b = 18
Answer:
D
Step-by-step explanation:
Answer: answer d is correct the variable b represent the number of bags of pretzels bought she bought ''3 time as many"
Step-by-step explanation:
Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c
Equation of a line is y = mx +c
m is the gradient, which is given as -3 so now you have:
y = -3x + c
Replace y and x with the given point and solve for c:
4 = -3(-2) + c
Simplify:
4 = 6 + c
Subtract 6 from both sides:
c = -2
The equation becomes:
y = -3x-2
can you solve it, please
Answer:
t
t
f
f
Step-by-step explanation:
hope this help..........
An object has a volume of 7cm³ and a mass of 56g. What is its density in g/cm³?
Hint: density × volume = mass
Answer:8
Step-by-step explanation;Since you want to find the density but you already have the mass you do the inverse operation and divdie 56 by 7 and get 8.
Answer:
8 g/cm³
Step-by-step explanation:
Density can be defined as the amount of substance per unit volume. To calculate density, divide the mass by volume.
Given: volume= 7cm³, mass= 56g
Density
= 56 ÷7
= 8 g/cm³
For a similar question on density, check out: https://brainly.com/question/13502525
help i need help ASAP
Answer:
That is the halfway mark between -6 and -7.
Step-by-step explanation:
-4 - 2.5
-6.5, or is -6 1/2.
That is the halfway mark between -6 and -7.
what is 8 miles into yards
Answer:
your anser is 14080 yards
Step-by-step explanation:
u convert
Find the sum of the first 378 counting numbers
WITH SOLUTION
Step-by-step explanation:
Counting numbers are 1,2,3,4,5........,378
Here it forms an AP with a = 1, d=1, an or l=378, n=378
Sum of 378 numbers = n/2(a+l)
= 378/2(1+378)
= 189(379)
= 71631
Which ones are correct?
Answer:
120 x 10^3
7 x 10^5
9 x 10^4
Step-by-step explanation:
State whether the following statements are true or false. Write the correct statements, if they are
wrong
(i) Each angle of a square is a right angle.
(1) All the sides of a parallelogram are of equal length.
(iii) The diagonals of a rectangle are perpendicular to one another.
CAN ANYONE SAY THE ANSWER PLSSSSSSSSSSSSSSSSSSS
90 - y = 3y - 70
solve for y
I NEEEED THIS NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer:
y=40
Step-by-step explanation:
Answer:
y = 40
Step-by-step explanation:
90 - y = 3y - 70
4y=160
y = 40
A basketball player has made 12 of his last 20 free throws, which is a free throw percentage of 60%.
How many more consecutive free throws would he need to make to raise his free throw percentage to 75%?
Answer:
Need ( 3 ) more consecutive free throws to make to raise his free throw percentage to 75%
A percentage is a way to describe a part of a whole. To raise his free throw percentage to 75% he needs to make 3 more baskets.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that A basketball player has made 12 of his last 20 free throws, which is equal to 60% of the free throw.
75% of the free throw will be equal to 15. Therefore, to raise his free throw percentage to 75% he needs to make 3 more baskets.
Learn more about Percentages:
https://brainly.com/question/6972121
#SPJ2
Ten persons went to a restaurant. One of them ordered soda, four ordered coffee, and the other five ordered tea. How many ways waiter can give them the orders
Answer:
One way.
Step-by-step explanation:
Because they all asked at the same time.
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10
Answer:
x - 2 and x + 5
Step-by-step explanation:
Given Area Of rectangle
= x² + 3x - 10
= x² + ( 5 - 2)x - 10
=x² + 5x - 2x - 10
= x ( x + 5 ) - 2 ( x + 5 )
= ( x + 5 ) ( x - 2 )
Hope it will help :)❤
Answer:
B. x-2 and x+5
Step-by-step explanation:
Hi there,
I am more interested in how to solve this problem, but you are welcome to show me the walkthrough as well :)
As a student, I have
240 hours of English, where 1 h = 50 min
How much would I have, if 1h = 60 min?
Thank you for your time :)
Answer:
You'd have 288 hours for 60 mins.
Step-by-step explanation:
if 1hr=50 mins for 240 hours
then 50mins =240hours
thus, 60 mins =x hours
Cross multiply
then you have 50mins × x hours=60 mins ×240 hours
therefore,50mins×x/50 mins=240 hours×60/50mins
then,x on the L.H.S =24×12 after division on R.H.S
so, x=288 hours
therefore,for 60 mins you'd have 288 hours of English
3/54+4/6
Add the fractions and give your answer as a proper fraction
Answer:
13/18
Step-by-step explanation:
What is the equation to find the volume of a cylinder?