[tex]3 \sqrt{7} \times 17 \sqrt{14} [/tex]
This is the problem that we need to solve. The best way to get about it is to first:
Multiply the constant numbers (3 and 17). 3×17 is 51. Next multiply the radicals. [tex] \sqrt{7} \times \sqrt{14} = \sqrt{7 \times 14} = \sqrt{108} [/tex]Simplify the squareroot of 108 since it is 49 times 2. It would be equal to 7 squareroots of 2. Our final answer would be:[tex]51 \times 7\sqrt{2} = 357 \sqrt{2} [/tex]51 x 7 is 357, so the answer above is right.The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.
Hope you understood and have a nice day!!
The ages of 10 friends are consecutive integers. The sum of their ages is 710. they get together every Tuesday to play cards and enjoy each other's company calculate their ages
Answer:
x = 66.5
x + 1 = 67.5
x + 2 = 68.5
x + 3 = 69.5
x + 4 = 70.5
x + 5 = 71.5
x + 6 = 72. 5
x + 7 = 73.5
x + 8 = 74.5
x + 9 = 84.5
Step-by-step explanation:
Given that :
Age of 10 friends are consecutive integers :
Let the ages be :
x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9
The sum of their ages = 710
Hence,
x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710
10x + 45 = 710
10x = 710 - 45
10x = 665
x = 665 / 10
x = 66.5
x + 1 = 67.5
x + 2 = 68.5
x + 3 = 69.5
x + 4 = 70.5
x + 5 = 71.5
x + 6 = 72. 5
x + 7 = 73.5
x + 8 = 74.5
x + 9 = 84.5
jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve
Answer:
6 1/2
Step-by-step explanation:
Answer:
6.5 quarts.
Step-by-step explanation:
This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5
Please help!!:
Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).
Answer:
I think
y=1/3x-10/3
Step-by-step explanation:
Perpendicular Lines mean they have the negative reciprocal slope. This line has slope m = -1/3 so the perpendicular line has slope m = + 1/3
Our point is (3, 5)
Now use point slope form to find the equation: (y - y1) = m(x - x1)
(y - 5) = m(x - 3)
(y - 5) = 1/3(x - 3)
y -5=1/3x-10/3
Could someone help me I’m almost done please please
y=4
Step-by-step explanation:
cube root 64
You roll a fair six sided cube and flip a coin. What is the probability that you roll an even number and the coin lands on tails?
Answer: Since flipping a coin and rolling a 6-sided die are independent events ,thus the probability of getting head and an even number is just the product of the individual probability of events.
Let A be the event of getting a head ,and B be the event of getting an even number on die.
therefore, P(A and B)=P(A) P(B)=(1/2)*(3/6)=1/4=0.25.
In the previous election 6,400 people voted. What is the percent decrease in actual voters?
A 8.6%
B. 11.4%
C 12.5%
D. 14.3%
Answer:
14.3%
Step-by-step explanation:
6400-5600=800
800/6400×100=14.3
Answer:
14.3
Step-by-step explanation:
Solve for p. p/8 + 12 = 36
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Answer:
p = 192
Step-by-step explanation:
p/8 +12 = 36 . . . . . given
p/8 = 24 . . . . . . . . .subtract 12
p = 8·24 . . . . . . . . .multiply by 8
p = 192
1. Find the slope of the line passing through the points (3,5) and (3, -6).
slope:
2. Find the slope of the line passing through the points (-6, 2) and (8,2).
slope:
please help
Question 1)
Given the points
(3, 5)(3, -6)Finding the slope between (3, 5) and (3, -6)
(x₁, y₁) = (3, 5)(x₂, y₂) = (3, -6)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
(-6, 2)(8, 2)Finding the slope between (-6, 2) and (8, 2)
(x₁, y₁) = (-6, 2)(x₂, y₂) = (8, 2)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
10) Determine which of the following are functions. 11) What are the domain and range of the following relation?
Answer:
10) The first 2 on the left are functions and the one on the top right is a function, but the bottom right is not.
11) Domain = (2, 8, -1, 0) Range = (5, -2, 4, 5)
The table below shows the number of strawberries and cups of water
used to make fruit punch according to a certain recipe.
Strawberries Water (cups)
384
30
320
25
How many cups of water are needed for every 1 strawberry? Note:
Your answer may be exact or rounded to the nearest hundredth.
Answer:
5/64 of a cup.
Step-by-step explanation:
Is there two columns of data and two data points? Like this:
Strawberries Water
384 30
320 25
If so, then there are two ways to do it.
1) You can set up a ratio like this
384/30 = 1/x
Where x is the number of cups of water for 1 strawberry.
So,
x = 30/384 of a cup
x = 5/64 of a cup.
2) Look at the increase from one to the other.
64 strawberries requires 5 cups of water
Divide by 5 by 64 to get the water for one strawberry
5/64 of a cup.
QUICK ANSWERS PLEASE!!!!!!
Find the measure of each angle:
Answer:
1) 63
2) 49
3) 87
4) 44
Step-by-step explanation:
1 over 8 + c = 4 over 5 whats x?
How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively
Answer:
32 cubes
Step-by-step explanation:
I would first determine the volume in inches of the rectangular prism.
V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.
Then I would calculate the volume of the cube with 1/6 inch sides
V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.
Then I would divide the V of the large prism by the V of the small cube
(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes
I need help with this please
Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form. The line of best fit equation in slope-intercept form is y =
Answer:
Equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]
Step-by-step explanation:
Let the equation of line be y = mx + c
where m = slope of line and c is the intercept on y -axis
from the graph intercept on y-axis is 108
and the slope of line is given by m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] where ([tex]x_2,y_2[/tex]) and ([tex]x_1,y_1[/tex]) is the points on line
let, points be (4,96) and (18,36)
on calculating this m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]-\frac{30}{7}[/tex]
Therefore equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]
Cheryl decorated a border of a birthday card with flowers. The flowers were 1/200 m apart. The length of the border was 1/5 m. There was a flower at each end of the border. How many flowers did she draw?
Answer:
She draw 40 flowers
Step-by-step explanation:
Given
[tex]Length = \frac{1}{5}m[/tex]
[tex]Flower = \frac{1}{200}m[/tex]
Required
Determine the number of flowers
To do this, we simply divide the length of the border by the length of the flower.
[tex]Number = \frac{1}{5}/ \frac{1}{200}[/tex]
Convert to multiplication
[tex]Number = \frac{1}{5}* \frac{200}{1}[/tex]
[tex]Number = \frac{200}{5}[/tex]
[tex]Number = 40[/tex]
Hence, she draw 40 flowers
Write the equation of the line that passes through (4,-3) & (3,0)
m =
b =
y =
Answer:
m = -3
b = 9
y = -3x + 9
Step-by-step explanation:
Let us solve the question
∵ The line passes through points (4, -3) and (3, 0)
∵ The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
∵ (x1, y1) and (x2, y2) are 2 points on the line
∴ x1 = 4 and y1 = -3
∴ x2 = 3 and y2 = 0
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{0--3}{3-4}[/tex] = [tex]\frac{0+3}{-1}[/tex] = -3
∴ m = -3
∵ The form of the equation of the line is y = m x + b
→ Substitute the value of m in the form of the equation.
∴ y = -3x + b
→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)
∵ x = 3 and y = 0
∴ 0 = -3(3) + b
∴ 0 = -9 + b
→ Add 9 to both sides
∴ 9 = b
∴ b = 9
→ Substitute the value of b in the equation
∵ y = -3x + 9
∴ The equation of the line is y = 3x + 9
Expand the Expression using the Distributive Property, and then simplify. -1/2(4-2+8x)
Which set of ordered pairs does NOT represent a function?
a. ((-3,9), (-2,4), (-1, 1), (0,0), (1.1), (2. 4). (3.9))
b. (1,3), (2, 6), (3,9), (4, 12). (5. 15))
c. (t.1), (4,2). (9. 3). (16,4). (25, 5))
d. 19.-3), (4, -2), (1, -1), (0.0), (1, 1), (4,2). (9. 3)
what is the measure of angle b?
A. 36⁰
B. 117⁰
C.63⁰
D. 56⁰
Answer:
A
Step-by-step explanation:
180⁰= a+b+81⁰
a=180⁰-117⁰=63⁰
b=180⁰-63⁰-81⁰=36⁰
Jan creates a pattern using the rule "add 3". Bill creates pattern using the rule "add 6." Which describes the relationship between Jan and Bill's patterns?
Answer: a. Each term in Bill's pattern is twice the value of the corresponding item in Jan's pattern.
Step-by-step explanation:
Jan created a pattern by adding 3 and Bill created a pattern by adding 6.
6 is twice the value of 3 so Bill's terms will be twice the value of Jan's corresponding terms as well.
To prove it:
12 is twice the value of 6
18 is twice the value of 9
24 is twice the value of 12
PLEASE SHOW FULL SOLUTIONS!!!!!! WILL MARK BRAINLIEST TO THE BEST ANSWER!!! THANK YOU AND GOD BLESS...
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Answer:
x = 60y = 50Step-by-step explanation:
The linear pair at G totals 180°, so we have ...
x + 2x = 180
3x = 180 . . . . . collect terms
x = 180/3 . . . divide by 3
x = 60
__
The total of angles in the triangle is 180°, so ...
x + y + 70 = 180
60 + y + 70 = 180 . . . . substitute for x
y = 180 -130 . . . . . . . . . subtract 130
y = 50
please help
write the fraction as a decimal
Answer:
it's 7 divided by 10
transfer the 0 up and make it 0.7
Congruent Triangles! PLZ HELP GIVING BRAINLIEST ANSWER!!
If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =
Answer:
a+b = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
3(a + b)^2 = 81
(a + b)^2 = 27
a + b = sq rt 27
a + b = [tex]\sqrt{9}[/tex]· [tex]\sqrt{3}[/tex]
a + b = 3[tex]\sqrt{3}[/tex]
if p=3+2√2 find the values of p+1/p
Answer: 1,71572875
Step-by-step explanation: (4+2rad2)/3+2rad2
Answer:
6
Step-by-step explanation:
1/p = 1/(3 + 2sqrt2)
Multiplying by the conjugate (which you should pretty much always do to simplify), we get
(3-2sqrt2)/((3+2srqt)(3-2sqrt2))
which is
(3-2sqrt2)/(9-8) = 3-2sqrt2.
Therefore p + 1/p = 3+2sqrt2 + 3 - 2sqrt2 = 6
1) Name the triangle.
scalene and acute
() isosceles and acute
() isosceles and right
()) scalene and right
Answer:
Isosceles and right triangle
It takes 2 minutes to print 3 photos. AT this rate, how many minutes will it take to print 10 photos?
Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.
Answer:
37.7m
Step-by-step explanation:
Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.
We solve using Similarity Theorem
BA/AC =BD/DC
46/AD+29 = 20/29
Cross Multiply
46 × 29 =20 (AD + 29)
1334 = 20AD + 580
20AD = 1334 - 580
20AD = 754
AD = 754/20
AD = 37.7m
help! Very urgent
Fimd the area and the perimeter of this shape
Pls help
Answer:
You can't find the area or perimeter with the information given. If this is a calculus level problem then it is possible.