Answer:
40 grapesEasy explanation:
64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
Answer:
10800
Step-by-step explanation:
1 trimesters cost = 1450 + 350 $
2 year -> 6 trimester
1800$ x 6 = 10800 $
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How many units away is the farther person from Robert?
Answer: Liz, she is 5 units away from Robbert.
Step-by-step explanation:
Ok, the data that we have is:
Robert is at (4,3 )
Lucy is at (6, 1)
Liz is at (1, 7)
We want to find the units between Robert and the person that is farther away from him.
The distance between Robert and Lucy can be calculated as:
First we calculate the difference in the point or in the position vector:
(4, 3) - (6, 1) = (4 - 6, 3 - 1) = (-2, 2)
To calculate the exact distance, we need to calculate the magnitude of this point, this is:
For a point (x, y), the magnitude is M = √(x^2 + y^2)
Then we have:
D = √( (-2)^2 + 2^2) = √8
Now, the distance between Robert and Liz can be calculated in the same way:
(4, 3) - (1, 7) = (4 - 1, 3 - 7) = (3, -4)
The magnitude is:
D = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5
Now, we know that 5 > √8
Then the person that is farthest away from Robert is Liz, and she is 5 units away.
PLEASE HELP ASAP! Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.
Answer:
See below.
Step-by-step explanation:
Approximation:
The wall is 8 ft wide.
The frame is 22 1/4 inches wide. 22 1/4 inches is close to 2 ft since 2 ft = 24 inches.
8 ft - 2 ft = 6 ft
There will be approximately 6 ft of space tot he sides of the frame.
6 ft/2 = 3 ft
3 ft * 12 in./ft = 36 in.
There will be approximately 36 in. on each side of the frame.
Exact:
8 ft - 22 1/4 in. = 8 * 12 in. - 22 1/4 in. =
= 96 in. - 22 1/4 in.
= 95 4/4 in. - 22 1/4 in.
= 73 3/4 in.
The total amount of width of the wall not occupied by the frame is 73 3/4 in.
Half of that amount is on each side of the frame.
(73 3/4 in.)/2 = (73 3/4 in.) * 1/2 = (73 * 1/2 + 3/4 * 1/2) in. =
= 36 1/2 in. + 3/8 in.
= 36 4/8 in. + 3/8 in.
= 36 + 7/8 in.
= 36 7/8 in.
Which products result in a difference of squares? Select three options. A. (x minus y)(y minus x) B. (6 minus y)(6 minus y) C. (3 + x z)(negative 3 + x z) D. (y squared minus x y)(y squared + x y) E. (64 y squared + x squared)(negative x squared + 64 y squared)
Answer:
C D E
Step-by-step explanation:
Edg
Out of the given options, options C, D and E are a difference of squares.
What is the difference of squares?Difference of Squares, two terms that are squared and separated by a subtraction sign.
Given are, options,
D) (y squared minus x y)(y squared + x y) = (y²-xy)(y²+xy) = y⁴-(xy)²
E) (64 y squared + x squared)(negative x squared + 64 y squared) = (64y²+x²)(64y²-x²) = (64y)⁴-x⁴
C) (3 + x z)(negative 3 + x z) = (3+xz)(3-xz) = 3²-(xz)²
Hence, out of the given options, options C, D and E are a difference of squares.
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What ratio of 25 dextrose and 10% dextrose should be mixed to make a 20% Dextrose? Comments for What Ratio of 25% Dextrose and 10% Dextrose to make 20% Dextrose? 10 parts 25% and 5 parts 10% solution equals 20% mixture.
Answer:
10:5 OR 2:1
Step-by-step explanation:
Let x be the parts of 25% dextrose and
y be the parts of 10% dextrose are mixed so that
20% dextrose mixture is obtained.
amount of dextrose in the mixture will be 20% of (x+y).
We have to find the value of [tex]\frac{x}y \ OR\ x:y[/tex]
Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.
[tex]\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}[/tex]
So, the answer is 10:5 or 2:1.
Answer:
4.90% is approximately the new Dextrose concentration.
Explanation:
Volume by Volume percent is given by ;
Volume percentage of dextrose solution = 5%
In 100 mL of solution 5 ml of dextrose is present.
Now, volume sterile water added was equal to the 40% of volume of dextrose volume.
So, volume of the sterile water added =
Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL
New concentration of dextrose will be;
4.90% is approximately the new Dextrose concentration.
Step-by-step explanation:
Estimate. Then determine the area. Please please please, need help!
Estimate:
2.3 rounds down to 2
So after multiplying by 2, the area is estimated to be 4 cm squared.
Actual Area:
2.3 x 2 = 4.6
The actual area of the shape is 4.6 cm squared.
Hope this helped!
Answer:
4.6
Step-by-step explanation:
Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4
Answer:
6 1/2 divided by 1/417. what is the equation of the line with…
Answer:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :
[tex]y=mx+1[/tex]
Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:
[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
I hope this helps!
Find the slope and Y-Intercept of the line. 6X plus 2Y equals -88
Answer:
That’s ez pz
Step-by-step explanation:
Answer:
The slope is -3 and the y intercept is -44
Step-by-step explanation:
6X+ 2Y= -88
The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept
Solve for y
6X-6x+ 2Y= -88-6x
2y = -6x-88
Divide by 2
y = -3x -44
The slope is -3 and the y intercept is -44
Can anyone help me with this
Answer:
x=0, - 9
Step-by-step explanation:
x^2+9x=0
x(x+9)=0
x=0 or x=-9
Answer:
x =0 x= -9
Step-by-step explanation:
x^2 + 9x = 0
Factor out x
x(x+9) =0
Using the zero product property
x =0 x+9 =0
x =0 x= -9
Circle experts...help! will give brainly to most detailed answer
Answer:
IU=161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line?
Answer:
y = -x +2
Step-by-step explanation:
y =x has a slope of 1
Perpendicular lines have slopes that multiply to -1
m* 1 = -1
The slope of the perpendicular line is -1
We have a slope and a point
y = mx+b
y= -1x+b
Substitute the point into the equation
-3 = -1(5) +b
-3 =-5 +b
Add 5 to each side
-3+5 = b
2 =b
y = -x +2
Help anyone can help me do this question 3,I will mark brainlest.
Answer:
see explanation
Step-by-step explanation:
Calculate the slopes between pairs of the 3 points using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)
m = [tex]\frac{9-3}{-3-(-9)}[/tex] = [tex]\frac{6}{-3+9}[/tex] = [tex]\frac{6}{6}[/tex] = 1
Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)
m = [tex]\frac{9-1}{-3-5}[/tex] = [tex]\frac{8}{-8}[/tex] = - 1
If lines are perpendicular then the product of their slopes = - 1 , then
1 × - 1 = -1
Thus there is a right angle between the 2 lines
Then triangle is right- angled
You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?
Answer:
obtuse
Step-by-step explanation:
because obtuse triangle would provide more support that acute or right as its bigger.
Anyone know how to do this?
x^5+x-1
x^5+x-1
x^5+x-1
Step-by-step explanation:
x⁵+x-1
(2x-x+1) ( x³+x²-1 )
Line a and t are parallel. What is the value of x?
7x - 48
5x
pls help me
Answer:
x = 24
Step-by-step explanation:
We know that lines s and t are parallel. Then by definition, the two labelled angles, which are same-side angles, are congruent and equal in measure.
Then, we set the expressions equal to each other:
7x - 48 = 5x
Subtract 5x from both sides:
7x - 5x - 48 = 0
2x - 48 = 0
Add 48 to both sides:
2x = 48
Divide by 2:
x = 48/2 = 24
Thus, x = 24.
~ an aesthetics lover
For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE
Answer:
Intersects; intersection point: (-2,3)
Step-by-step explanation:
Substitute -1.5x for y into y=0.5x+4:
-1.5x = 0.5x +4
-1.5x - 4 = 0.5x
-4 = 2x
x = -2
Plug in -2 for x into y=-1.5x
y = -1.5(-2)
y = 3
Organize the x and y values into an ordered pair:
(-2,3)
Answer:
y=0.5x+4 intersects y=-1.5x.
The intersection point is (-2,3)
Step-by-step explanation:
First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.
So we have the equation:
[tex]y=-1.5x[/tex]
Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5
The equation given to us is:
[tex]y=0.5x+4[/tex]
As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.
To find the x-value of their intersection, simply set the equations equal to each other and solve for x.
[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]
Now, plug -4 into either of the equations:
[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]
Therefore, the point of intersection is (2,3).
traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item
Cost price is Rs600 and marked price is Rs780.
Must click thanks and mark brainliest
Which of the following is a solution of y > |x| - 6? A(-1, -5) B(-5, 1) C(5, -1)
Answer:
B(-5, 1)
Step-by-step explanation:
We can test each value in the equation and see if the equation works out.
[tex]y > |x| - 6[/tex]
Let’s try A - (-1, -5).
[tex]-5 > |-1|-6\\\\-5 > 1-6\\-5>-5[/tex]
-5 is NOT greater than -5, it is equal so A doesn’t work.
Let’s try B, (-5, 1).
[tex]1 > |-5| -6\\1 > 5-6\\1 > -1[/tex]
1 IS greater than -1, so B works.
Let’s try C for fun.
[tex]-1 > |5| -6\\-1 > 5-6\\-1 > -1[/tex]
-1 is NOT greater than -1, it is equal, so it doesn’t work.
Hope this helped!
Answer:
B(-5,1)
Let us simply just write this in all scenarios.
A(-1,-5)
-5>|-1|-6
-5>-5
(False)
B(-5,1)
1>|-5|-6
1>-1
(True)
C(5, -1)
-1>|5|-6
-1>-1
False
if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be
Answer:
The next step is add x to each side
Step-by-step explanation:
-x + 6 = 5 - 3x
Subtract 5 from each side
-x + 6-5 = 5-5 - 3x
-x+1 = -3x
Add x to each side
-x+1 = -3x+x
1 = -2x
Answer:
Step-by-step explanation:
all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x
then you will add x on each side
you should now have 1=-2x
divide each side by -2 and then you will have
-1/2=x
PLEASE ELP ME ITS URGENT!!! 25 POINTS!!!!!
Write 2.4 × 1012 in standard notation.
Answer:
2,400,000,000,000
Step-by-step explanation:
2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)
So by moving the decimal point 12 times you get this: 2,400,000,000,000
The reason why there are only 11 zeroes is because the 4 was a decimal place to the right of 2, thus losing a zero.
can you make a triangle with 1. 2cm 3cm and 4cm 2. 2cm 3 cm 6 cm 3. 90 degrees 45 degrees 45 degrees 4. 90 degrees 60 degrees 60 degrees?
Answer:
1. 2cm 3cm and 4cm
yes, because 2+3>4
2. 2cm 3 cm 6 cm
no, 2+3<6
3. 90 degrees 45 degrees 45 degrees
yes, 90+45+45 = 180
4. 90 degrees 60 degrees 60 degrees?
no, 90+60+60=210!=180
Will Mark Brainlest Help pls
Answer:
2 2
1 -3
Step-by-step explanation:
2b=[4 4]
2 -6
b=[4/2 4/2]
2/2 -6/2
b=[2 2]
1 -3
Determine the interval(s) on which the given function is decreasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
Answer Choices:
(–∞, –1) ∪ (1, ∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Analyzing the text, we find that the function is decreasing over the following intervals: (0, 1)
-------------------------
Polynomial going up from the left and passing through the point (-1,0), going to a relative maximum at the (0,5) and then going down to a relative minimum at the point (1,4).Going from maximum to minimum, meaning that between them the function decreases, thus, the first interval it is decreasing is between (0,1).
Going up to the right:Going up, increases.
-------------------------
Thus, the function decreases over the following interval: (0, 1)
A similar question is given at https://brainly.com/question/17875907
NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3
Answer:
Hey there!
93 ÷ 5 can be written as 93/5.
5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]
Let me know if this helps :)
A water park has 28 water attractions: pools, game areas, and water slides. There are P pools and P +2 games areas. If 50% of the attractions are water slides, how many games areas are there?
Answer:
8
Step-by-step explanation:
total: 28 water attractions
pools: p
game areas: p + 2
water slides: 50% of 28 = 14
14 + p + p + 2 = 28
2p = 12
p = 6
game areas:
p + 2 = 6 + 2 = 8
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.
0.5
0.13
5
0.38
Answer:
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]
P(RnG) = 5
[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]
Therefore:
[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]
The conditional relative frequency = 0.385
The conditional relative frequency will be 0.385
What is Baye's theorem?It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]
P(RnG) = 5
P(G) = ∑(Green hairs)
P(G)= 13+5+5 = 13
Therefore:
[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]
The conditional relative frequency = 0.385
Hence the conditional relative frequency will be 0.385
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HELP ASAP WILL MARK BRAINLIEST!!! Add or subtract. Write your answer in scientific notation. 4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5 3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8 8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
Answer:
see below
Step-by-step explanation:
4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5
All exponent have to have the same number
42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5
Subtract the number
42 - 1.2 - 2.5 = 38.3
Add back the exponent
38.3 * 10 ^5
This is not in scientific notation
Move the decimal one place to the left and add one to the exponent
3.83 * 10^6
3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8
All exponent have to have the same number
3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9
Add the numbers
3.3+2.6+.77 =6.67
Add back the exponent
6.67*10^9
This is in scientific notation
8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
All exponent have to have the same number
8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4
Subtract
8.0 - 3.4 - .12 = 4.48
Add back the exponent
4.48* 10^4
This is in scientific notation
Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).
======================================================
Explanation:
We get this point by doing two things.
Subtract 2 from the x coordinate, due to the x-2Subtract 7 from the y coordinate, because of the y-7If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8
So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)
You could also show your work like this
[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]