Answer:
63.33333333333
Step-by-step explanation:
evaluate : 7^4×7^5×7^-9
pls solve to get brainiest
Answer:
1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1
Given
[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]
= [tex]7^{(4+5-9)}[/tex]
= [tex]7^{0}[/tex]
= 1
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
Please help me solve this
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Both angles are the same because of similar angles being the two horizontal lines are parallel. All we have to do is solve the equation when we make the angles equal to each other. Follow the steps below.
[tex]9x + 7 = 10x \\ 7 = x \\ x = 7[/tex]
Which side lengths form a right triangle?
Choose all answers that apply.
A. square root of 2, square root of 3, square root of 4
B. square root of 8, 3, square root of 17
C. 5, 6, 8
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.
What is a Pythagoras theorem?If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,
H² = P² + B²
Let's check the second option, then we have
(√17)² = 3² + (√8)²
17 = 9 + 8
17 = 17
Thus, the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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Solve for . need 20 letters lol
/5 = −9
Answer:
r=-45
Step-by-step explanation:
r/5=-9
x 5 x5
________________
r=-45
Hope this helps ∞<3
3) Determine if the ordered pairs represent a function.
{(2,3), (4,4), (2,5), (3, 8)}
Yes
No
-3(2x-3)= -5x+5 show your work
Answer:
x=4
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^
Answer:
x = 4
Step-by-step explanation:
Use the distributive property to distribute the -3 amongst the 2x and the -3 in the parenthesis. Once distributed you should have -6x + 9 = -5x + 5. Next, you want to get all like terms on the same side, and to do that you must swap the +9 and the -5x. When you swap these, you must 'flip' the sign and change 9 to -9 and -5x to 5x. Now the equation should look like this: -6x + 5x = -9 + 5.
Now just solve. After solving, it should look like this: -1x = -4. Now to get rid of the negatives. Just divide each side by negative one and your answer is x = 4.
Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurricane. She finds a company willing to send her Meals-Ready-to-Eat (MREs) at a discounted price. Cases of small portion meals are $20.00 each and cases of large portion meals are $30.00 each. She buys a total of 20 cases and spends a total of $450.00.
Let x represent the number of small portion meals and let y represent the number of large portion meals. Write a system of equations, in terms of x and y, to model the situation. Enter your equations in the space provided.
9514 1404 393
Answer:
x + y = 2020x +30y = 450Step-by-step explanation:
The equation for the total number of cases is ...
x + y = 20
The equation for the total cost of the cases is ...
20x +30y = 450
_____
Additional comment
The solution to these equations is (x, y) = (15, 5).
Find the next three terms:
5, 8, 11, 14...
Answer:
next 3 terms are 17,20,23
Step-by-step explanation:
to get from 5 to 8 you add 3
14+3=17
17+3=20
20+3=23
Answer:
17, 20, 23
Step-by-step explanation:
The pattern is that 3 is added every time.
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.
That means that the next terms will be
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
Please can someone help me
Answer:
C those who vote for the ballot tend to be from district 2
HELP TIMED QUESTION !!!!
Simplify (5x^3y)^2(-2x^5y^1)
Answer:
( -5•2x8y)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
Equation at the end of step 1
((5•(x3))•(y2))•(0-(2x5•y(-1)))
Equation at the end of step
(5x3 • y2) • -2x5y(-1)
Multiplying exponential expressions :
3.1 x3 multiplied by x5 = x(3 + 5) = x8
Multiplying exponential expressions :
3.2 y2 multiplied by y(-1) = y(2 + (-1)) = y1 = y
Answer:
60xy
Step-by-step explanation:
Evaluate : (5x+3y)2 = 25x2+30xy+9y2
Evaluate : (5x-3y)2 = 25x2-30xy+9y2
Which is a solution to the equation 7g-2=47
Answer:
g=7
Step-by-step explanation:
7g-2=47
+2 +2
7g=49
÷7 ÷7
g=7
please help me :(
Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.
Answer:
235 ≤ T ≤ 245
Step-by-step explanation:
(8 hours per night x 30 nights) = 240 hours
The deviation from 8 hours per night is as much as 10 minutes per night.
Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.
So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.
In inequality form,
235 ≤ T ≤ 245
A local animal shelter has 600 cats and dogs. There are 2 times more cats than dogs. Let x represent the number of cats and let y represent the number of dogs. Which system of equations represents this situation?
Answer:
2x + y = 600
Step-by-step explanation
Answer:
1,200x + 600y or 2x + y= 600
Step-by-step explanation:
knowing that there are 600 cats and 2 times the amount of cats we will have 1,200 cats which is 1,200x + 600y
Find the sum of 5
and 7
Step 2: Add the fractions by dragging each bar to the dot on
the number line
02 03 04 05 06 08 10 12
The expression written in equivalent form with common
denominators is
70 규
The sum is
V
The common denominator of both
fractions is 10
You can proceed to step 2
Answer:
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
Sum: [/tex] \frac{9}{10} [/tex]
Step-by-step explanation:
Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]
Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.
Thus, we would have:
[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]
[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]
Simplify
[tex] \frac{45}{50} = \frac{9}{10} [/tex]
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $19 per ticket to the planetarium. The second day they paid $100 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answer:
$170 + $35n
Step-by-step explanation:
Given that:
First day:
Transport fare = $70
Fee per ticket = $19
2nd day:
Transport fare = $100
Fee per ticket = $16
Total cost in dollars for the two days for n members
Number of members = n
First day:
70 + 19n
Second day :
100 + 16n
Totak cost :
(70 + 19n) + (100 + 16n)
70 + 100 + 19n + 16n
170 + 35n
$170 + $35n
please answer this !!!
Martin works at Bluebell Ice Cream Parlor. He earns $87.50 for every 7 hours of work. Based on this information how much money would Martin earn for 28 hours of work?
Answer:
$350
Step-by-step explanation:
7x4=28 so you multiply 87.50x4 to get 350
16) The diameter of a circle is 3/4ft. Find the radius.
17)The radius of a circle is √13 cm. Find the diameter. Leave your answer in simplest radical form
41) Given the equation (x+5)^2+y^2 =75 identify the circle's center and the length of its radius. Leave your answer in simplest radical form.
42) Given the center of a circle lies at (6,-3) and the diameter has a length of 14, write the equation of the cirlce
Answer:
16) diameter = 2×radius
3/4 ft = 2×r
r = 3/8
17) 2×radius = diameter
2×√13 = 2√13 cm
42) center = (6,-3)
radius = 14/2
= 7
[x-(6)]²+[y-(-3)]² = 7²
(x-6)²+(y+3)² = 49
V = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 108 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answer:
46.5 miles per hour
Step-by-step explanation:
Given that :
Speed of A car v in miles per hour based on length L in feets ;
V = √(20L)
Skid mark (L) = 108 feets
V = √(20 * 108)
V = √2160
V = 46.475800 miles per hour
V = 46.5 mph
Freddy is buying wings and nachos for a party. A box of 10 wings cost $10.00. Nachos cost $4.00 per tray. He must spend less that $40.00 on the wings and nachos.
Using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos Freddy can be and still be within his budget.
Answer:
10x + 4y < 40
Step-by-step explanation:
The creation of an inequality is as follows"
The cost of the 10 wings box = $10
The cost of nachos = $4 per tray
And, the amount that can be incurred less is $40
Based on the information,
The equation would be
10x + 4y < 40
Hence, the inequality equation is 10x + 4y<40
The distance between two towns is 75 km. The distance between the two towns on a map is 1.5 cm. What is the scale on the map?
Scale = 1cm :
km
Answer:
50
..................
Step-by-step explanation:
1.5cm => 75km
1cm => 75km * (1/1.5) = 50km
Hence the scale of the map is 1cm : 50km.
Two step problem: Aaron can type 40 words per minute. Jessica can type 55 words per minute. If Aaron and Jessica each type for 30 minutes, how many more words will Jessica type than Aaron?
Answer:
Step-by-step explanation:
Aaron types 40 wpm times 30 minutes = 1200 wpm.
Jessica types 55 wpm times 30 minutes = 1650 wpm.
Jessica’s types 450 more words per minute than Aaron.
A= 450 more than Aaron
Ten times a number increased by four is no more than twenty-five.
Answer:
10x + 4 < 25
Step-by-step explanation:
The correct answer is:
10x + 4 < 25
SOPHIE gave 45% of her pocket money to AMELIE. SOPHIE now has £6.60. How much did SOPHIE have to begin with?
Answer:
£12
Step-by-step explanation:
To find the original amount, divide 6.60 by 0.55:
6.60/0.55
= 12
So, Sophie had £12 to begin with
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine
What is the weight of a patient who requires 200 milligrams of medicine?
Answer:
228.571428 or estimate it down
Step-by-step explanation:
136 ÷ 119 = 1.14285714
1.14285714 x 200 = 228.571428
The weight of the patient who required 200 mg of medicine is 175 pounds.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Amount of medicine = Patient's body weight.
136 mg = 119 pounds
Multiply 200/136 on both sides.
200 mg = 200/136 x 119 pounds
200 mg = 175 pounds
Thus,
The weight of the patient who required 200 mg of medicine is 175 pounds.
Learn more about equations here:
https://brainly.com/question/17194269
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I need help with this question! Will mark brainliest :)
Answer:
y=3x-2
Step-by-step explanation:
you find the 3 (the slope) by seeing how much the y value grows
the -2 is the value of the y-intercept (more clear on a graph) but it's when the point is (0,__) so you subtract 3 from 1.
Answer:
The answer is the third option, y=3x-2
Explanation:
I'm horrible at explaining, but basically the y-axis is increasing by 3's so it's not negative, and to find the y-axis, we simply put a 0 ontop of the 1 in the x-axis, and across that we get -2 because the y-axis is increasing by 3's.
So sorry for my messy explanation, but I hope it helps :)
pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?
Answer:
36 degrees
Step-by-step explanation:
So, first of all, the interior angles of any triangle add up to 180.
First, you add up all the numbers in the ratio.
13+23+9=45
180/45=4 [To find out how much each piece really equals]
So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.
4*9=36
Hope it helped, tell me if it's wrong, I'll correct it.
Answer:
36
Step-by-step explanation:
Ratio = 13 : 23 : 9
The interior angles are = 13x , 23x , 9x
13x + 23x + 9x = 180 {Angle sum property}
45x = 180
x = 180/45
x = 4
Most acute angle = 9x = 9*4 = 36
PLEAEEE HELP ILL GIVE BRAINLIEST