Hi ;-)
[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]
Imran can row at 3 m/s against the current and at 6 m/s with the current. Find the speed of the current.
komhnyrtgfdedavfbfsfb
Find the slope and y intercept
(Please show work)
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
7/8
Step-by-step explanation:
1/4 + 5/8 = 2/8 + 5/8 = 7/8
= amount used for pepper and tomatoes
2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4
= total amount used
so
7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce
Is the image an example of a ray?
B
A
O Yes; AB has an endpoint and continues in one direction forever.
O Yes; AB is one-dimensional.
O No; AB continues forever in both directions.
O No; AB has two endpoints.
Answer:
O No; AB has two endpoints.Step-by-step explanation:
Ray - a continuous line therefore, do not have two endpoints.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
AB is not a ray. It has two endpoints.
What is ray?"It is a part of a line that has a fixed starting point but no end point."
For given example,
We have been given a part of a line AB.
The starting point is A and the end point is B.
We know, one of the end of the ray is denoted by arrow.
Since both the ends of given figure are fixed, it is not ray.
AB is called as line segment.
Therefore, AB is not a ray. It has two endpoints.
Learn more about ray here:
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solve using substitution
y = 3x - 4
3x + y = -4
y= 3x –4
3x + y = –4
3x + (3x –4) = –4
3x+3x – 4 = – 4
6x = – 4 +4
6x=0 —> x= 0/6 —> x=0
x = 0y = 3x – 4 —> y = 3(0) – 4 = – 4
y = – 4So; (x , y) —> (0 , – 4 )I hope I helped you^_^
Answer:
(0,-4)
Step-by-step explanation:
3x + y = -4
3x + (3x - 4) = -4
3x + 3x - 4 = -4
6x = 0
x = 0
y = 3(0) - 4
y = -4
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
Which figure shows an example of symmetry?
A.
B.
C.
D.
-6, 20, 4.3, 159/-9
Order from least to greatest
Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?
Jonathon can jog 2 2/7 miles in 2/8 hour. Find his average speed of miles per hour.
Answer:
9.14 miles an hour
Step-by-step explanation:
Is -1 1/6 rational? HURRY
Answer:
yes
Step-by-step explanation:
since it can be expressed as a fraction, it is rational
My question is in the picture attached below, thank you.
Ps: I need full explanations of the answers as said by the instructions. Thanks
The volume of a rectangular prism is the product of the prism's dimension (i.e. length, width and height). The dimension of the rectangular prism are:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Given that:
[tex]Volume = (18x^4 + 15x^3 - 12x^2)[/tex]
First, we factor out [tex]3x^2[/tex]
[tex]Volume = 3x^2 \times (6x^2 + 5x - 4)[/tex]
Expand
[tex]Volume = 3x^2 \times (6x^2 + 8x-3x - 4)[/tex]
Factorize
[tex]Volume = 3x^2 \times (2x(3x + 4) -1(3x + 4))[/tex]
Factor out [tex]3x + 4[/tex]
[tex]Volume = 3x^2 \times ((2x -1) (3x + 4))[/tex]
Rewrite as:
[tex]Volume = 3x^2 \times (2x -1) \times (3x + 4)[/tex]
The volume of a rectangular prism is:
[tex]Volume = Length \times Width \times Height[/tex]
So; by comparison:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Read more about polynomials and volumes at:
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-8=x+ll/-2 solve for x step by step and answer
Answer:
x=(-5)/2
Step-by-step explanation:
-8×(-2)=-2x+11
16-11=(-2x)
x=(-5)/2
Write -0.450 as a fraction in simplest form.
Answer:
-0.450 as a fraction is -9/20
Step-by-step explanation:
Since there 3 decimal places, divide it by 1000
-450/1000 and simplify it
A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
Answer:
3x - 13
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.
(x-6) + (x+2) + (x-9)
Group:
x + x + x - 6 + 2 - 9
3x - 13
Compare and order the numbers below from least to greatest.
4.6, 2.8, V7, V17,
Answer:
2.8, 4.6, V7, V17
i hope it help n im sorry i can't explain
Y'ALL PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
Show how you got your answers I can see if it makes sense!!!
The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
Answer:
I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.
1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one less
than the integer. Find the integer algebraically using rational expressions.
Answer:
9
Step-by-step explanation:
Let the integer be n
According to the text
30 / (n + 1) = 24 / (n-1)
Cross multiply we have
30 (n -1) = 24 (n + 1)
30 n - 30 = 24 n +24
30n -24n = 30 + 24
6n = 54
n = 9.
So the integer is 9.
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
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Find the Value of X
(please don't just give me a fake answer)
what is 2x-9=5x+12 with the step by step
Answer:
x = -7
Step-by-step explanation:
Please view the detailed answer in the image attached
Answer:
[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]
Step-by-step explanation:
x = -7
Show that the statement is true. If JK has endpoints J(−2, 1) and K(4, 3), and LN has endpoints L(0, 3) and N(2, 1) then JK and LN have the same midpoint.
yes they both have the same midpoint of (1,2)
Step-by-step explanation:For the midpoint of JK
[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
then for LN
[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
Find the mode, median, and mean of each data set ( ASAP pls can someone help me )
Answer:
mean = 10.818181...
median = 10
mode = 5
Step-by-step explanation:
first put the numbers in order, smallest to largest
5 5 6 8 9 10 11 13 15 18 19
mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)
median = 10
mode = 5
Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches will it fit along the wal. Next to the bookshelf ?
Answer:
It’s 48 just do 8*6=48 I don’t know how I got that answer but Ik it’s right lol
Write a proof. Given x - 2 = 3(x - 4) Prove x = 5
x=5
Step-by-step explanation:
x-2=3(x-4)
x-2=3x-12
12-2=3x-x
10=2x
x=10/2
x=5
Answer:
x = 5
Step-by-step explanation:
x - 2 = 3(x - 4)
x - 2 = 3x - 12
-2x - 2 = -12
-2x = -10
x = 5
Order from least to greatest
3.5,-2.1,√9,-7/2,√5
Answer:
-7/2,-2.1,✓5,✓9,3.5
Step-by-step explanation:
✓5=2.23
✓9=3
-7/2=-3.5
A rectangle has an area of 21 square centimeters. Which of the following could be the rectangle's length and width? Area = length x width Choose all answers that apply
contesteneme doy coronita y 25 puntos tambien 5 estrellas
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80
divide rs. 560/-among A,B and C in such a way that A and B are in 2:3 while B and C are in 4:5
plz help me with this answer
Answer:
128 : 192 : 240
Step-by-step explanation:
Given that
A : B = 2 : 3
That is B = 1.5A
Then in fractional form
[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so
[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4C = 7.5A ( divide both sides by 4 )
C = 1.875A = 1.875 × 2 = 3.75
The ratios of A : B : C = 2 : 3 : 3.75
Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75
Divide the quantity by 8.75 to find the value of one part of the ratio
560 ÷ 8.75 = 64 , then
2 parts = 2 × 64 = 128
3 parts = 3 × 64 = 192
3.75 parts = 3.75 × 64 = 240
Then A : B : C = 128 : 192 : 240
