Answer:
(7, 11)
Step-by-step explanation:
If a line segment has endpoints at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]), the coordinates of the midpoint O(x, y) of the segment AB is given by the formula:
[tex]x=\frac{x_1+x_2}{2}\\\\y=\frac{y_1+y_2}{2}[/tex]
Given the midpoint M(3, 5) of the segment CD with the coordinates of C at (-1, -1). Let the coordinates of D be at ([tex]x_2,y_2[/tex]). Hence:
[tex]x=\frac{x_1+x_2}{2}\\\\ 3=\frac{-1+x_2}{2} \\\\6=-1+x_2\\\\x_2=6+1\\\\x_2=7\\\\y=\frac{y_1+y_2}{2}\\\\ 5=\frac{-1+y_2}{2} \\\\10=-1+y_2\\\\y_2=10+1\\\\y_2=11[/tex]
Hence the coordinates of D is at (7, 11)
We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need.
Answers:
20 pounds of the 95% concrete mix10 pounds of the 80% concrete mix=================================================
Explanation:
x = amount of the 95% concrete mix
y = amount of the 80% concrete mix
Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.
So far we have 0.95x+0.80y pounds of pure concrete from the two mixes
Divide this over 30 to get (0.95x+0.80y)/30
Setting this equal to 0.90 means we want the final mix to be 90% concrete.
Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later
-------------------------------
(0.95x+0.80y)/30 = 0.90
0.95x+0.80y = 30*0.90 .... multiply both sides by 30
0.95x+0.80y = 27
0.95x+0.80(30-x) = 27 ..... plug in y = 30-x
0.95x+0.80*30-0.80*x = 27
0.95x+24-0.80x = 27
0.15x+24 = 27
0.15x = 27-24 ..... subtracting 24 from both sides
0.15x = 3
x = 3/0.15 ........... dividing both sides by 0.15
x = 20
y = 30-x
y = 30-20
y = 10
What is the 10% of 20% of 30%?
Ans 1= 0.006%
2=0.06%
3=0.6%
4=6%
Answer:
3=0.6%
Step-by-step explanation:
(10% of 20%) of %30
30% of 0.02
0.006=0.6%
kelly bought some stuffed animals for 6.49 each she also got a box fo chocolate for 8.32 she paid a total of 27.79 to write an equation to find how many stuffed animals kelly purchased
Answer:
3
Step-by-step explanation:
She only bought one chocolate so you will subtract 8.32 from her total, 27.79, when you do that you will get 19.47. You do that so you can know the total of the stuffed animals by them self. Then all you have left in the total is her stuffed animals so you divide 19.47 by 6.49, when you do that you get three, so that means that she got three stuffed animals.
Step-by-step explanation:
thats the answer right there
Mrs. Atkins pays $ 1,800 for a new
refrigerator washer, and dryer.
The refregerator cost $ 250 more
than the washer. The dryer costs
half as much as the washer.
How much does the washer cost?
The was her cost:_____
Rewrite the following expressions using the Additive Inverse Property -21-62, -78-(-8), 100-500
Answer:
62/78*( 1 6/8)
= 31/39*( 1 6/8)
= 31/29*( 1 3/4 )
= 31/39* 7/4
Multiply the numerator together and the denominator together
= 217/156
Step-by-step explanation:
LIKE IT PLS AND 5 STARS
An online music club sells compact discs for $13.95 each plus $1.95 shipping and handling per order. If Maria’s total bill was $85.65, how many compact discs did Maria purchase?
Answer:
she purchased 6 compact discs
Step-by-step explanation:
13.95 × 6 + 1.95= 85.65
Answer:
6
Step-by-step explanation:
How does the area of the scale drawing where 1 centimeter represesnts 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles?
Answer:
This means that 1cm on the map means 10miles on actual land so is it the same for 30miles
That is 1cm on map 30 cm on land
-| -8 | |-(-8) are they equal ? Or which one is more ?
Answer:
-| -8 | is less than |-(-8)|
Step-by-step explanation:
-| -8 | =-8
|-(-8)| =8
they are not equal
-| -8 | is less than |-(-8)|
13 - (-6) subtracting integers
Answer:
19
Step-by-step explanation:
21 – 8(w + 3) + 3 + 7w
Answer: -w
Step-by-step explanation:
21 – 8(w + 3) + 3 + 7 w
Help please also give an explanation
Answer:
The answer is option AStep-by-step explanation:
[tex] \frac{a + bc}{wd + f} = g[/tex]First of all cross multiply
That's
g( wd + f ) = a + bc
Multiply the terms at the left side of the equation
We have
gwd + fg = a + bc
Send fg to the right side of the equation
That's
gwd = a + bc - fg
Divide both sides by dg to make W stand alone
[tex] \frac{gwd}{dg} = \frac{a + bc - fg}{dg} [/tex]We have the final answer as
[tex]w = \frac{a + bc - fg}{dg} [/tex]Hope this helps you
y^2+3y-10=0 please solve
The Answer is: y=2,5
Answer:
y = -5
y = 2
Step-by-step explanation:
Find 2 factors of -10 that add up to 3
This will be 5 and -2
So, we can factor this:
y² + 3y -10 = 0
(y + 5)(y - 2) = 0
Set each factor equal to 0 and solve:
y + 5 = 0
y = -5
y - 2 = 0
y = 2
So, the solutions are y = -5 and y = 2
If m∠A = m∠B and m∠A + m∠C = ∠D, then
m∠B + m∠C = ∠D.
Which property is shown?
reflexive property
substitution property
symmetric property
transitive property
Answer:
Substitution Property
Step-by-step explanation:
The change from the first equation to the final equation is m∠A has been replaced by m∠B. In other words, m∠B was substituted for m∠A.
Answer:
Substitution property
Step-by-step explanation:
Have a nice day!
What is the inverse of the function
Answer:
1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Switch x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
(x-1)/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Answer:
[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+1[/tex]
Put f(x) = y
[tex]y = 2x + 1[/tex]
Interchange x and y
[tex]x = 2y+1[/tex]
Solve for y
[tex]x = 2y+1[/tex]
Subtracting 1 to both sides
[tex]x-1 = 2y[/tex]
Dividing both sides by 2
[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]
Put y = h(x)
[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
given the piece wise function show below, select all that are true
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
[tex]x^{2}[/tex], x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = [tex]x^{2}[/tex]
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Consider x+4=x+8 . What values could be substituted for x to make this a true number sentence?
Answer:
There is no value of x that will make this true
Step-by-step explanation:
x+4=x+8
Subtract x from each side
x-x+4=x-x+8
4 = 8
This is never true so there is no solution
don't mind the writings in pen, i didn't know what i was doing... PLS HELP ASAP
Answer:
(a) <AED=50°
(b) <DAB=65°
(c) <BCD=45°
(d) Reflex <ABC=225°
Step-by-step explanation:
(a) 180-65-65=50
(b) 180-115=65 (ADC is 115)
(c) 180-135-45
(d) Reflex <ABC 360-135=225
Ross and Gabby sold boxes of cookies for their soccer team fundraisers.Ross sold b boxes of cookies Gabby sold 35 boxes of cookies .Together they sold 69 boxes of cookies .Witch equation models the scenario?
a)35b=69
b)35-b=69
c)b+35=69
d)35/b=69
Answer:
the answers c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Gabby's 35 boxes plus Ross's b amount of boxes equals the 69 boxes
What is the area of a rectangle with a dimension of 5 cm and 3/4 cm? PLEASE EXPLAIN AND I WILL MARK YOU BRAINLIEST.
Answer:
3.75 cm^2
Step-by-step explanation:
Area of a rectangle = Length x Width.
If we are given that the length is 5 cm and width is 3/4 cm ( you could convert this to a 0.75 if you want to as well ) we can plug this in:
Area = 5 cm x 3/4 cm
Solving for Area we get:
Area = 3.75 cm^2.
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{ \boxed{ \sf{3.75 \: {cm}^{2} }}}}}}[/tex]
Step-by-step explanation:
Length ( l ) = 5 cm
Width ( w ) = 3/4 cm
To find : Area of a rectangle
Finding the area of a rectangle having length of 5 cm and width of 3/4 cm
[tex] \boxed{ \sf{area \: of \: rectangle = \: l \times w}}[/tex]
plug the values
[tex] \dashrightarrow{ \sf{5 \times \frac{3}{4} }}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator.
[tex] \dashrightarrow{ \sf{ \frac{5 \times 3}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{15}{4} }}[/tex]
Divide 15 by 4
[tex] \dashrightarrow{ \sf{3.75 \: {cm}^{2} }}[/tex]
Hope I helped!
Best regards! :D
Is the expression 2 • 4' equal to the expression 8x?Explain your answer
Answer:
Yes
Step-by-step explanation:
If your expression is 2*4 it will equal 8 and if your still not sure divide 8 by 4 and your answer is 2 or 8 by 2 and you'll get 4.
Really need help on this!!
Answer:
Hey there!
There are 3+4+6+3, or 16 females.
3 of the females are seniors.
Thus, the percent is 3/16, or 19%
Let me know if this helps :)
Write an algebraic expression that models the word phrase. the product of 2 and the sum of a number x and 16
Answer:
2(x+16)
Step-by-step explanation:
it says product of 2 means 2 times
then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2
so the ans is 2(x+16)
Two graduated cylinders, one filled with water to 17 milliliters and one with water and a key filled to 25 milliliters. Calculate the volume of this irregular solid to the nearest cubic centimeter. What is the volume of the key?
nvm its 8 cm3
Answer:
its 8 cm^3
Step-by-step explanation:
got it right edge 2020
Answer: the answer is 8
Step-by-step explanation:
Just did it and got it correct
Domain and range function graph plz help asap
Answer:
Domain and range: All possible real numbers.
Step-by-step explanation:
Since both end contains arrows, that means that it keeps going on and on.
Evaluate: |6|+|-2∣. Answer value
Answer:
8
Step-by-step explanation:
Absolute value of 6 is 6. Absolute value of -2 is 2. 6+2 is 8.
Answer:
8Step-by-step explanation:
[tex]\left|6\right|+\left|-2\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\\left|6\right|=6\\=6+\left|-2\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\\\left|-2\right|=2\\=6+2\\\\Simplify\\=8[/tex]
Which polynomial is in standard form?
1 + 2x - 8x + OX
O 2x2 +6x3-9x+ 12
6x3 + 5x-3x2 + 2
2x3+4x2 - 7x+5
Answer:
last option is correct because the standard form of polynomial means the arrangement of power in descending order
According to exponent rules, when we divide the same base we _______ the exponents.
A. Multiply B. Add
C. Divide D. Subtract
Answer:
D
Step-by-step explanation:
Subtract the exponents
I need to know WHAT THE ANSWER IS Please?
Answer:
3
Step-by-step explanation:
When you multiply .3 by 10, you will end up with the answer of three. There are three more ounces in the jar.
Ito washes 7 cars in 3 hours. Joan
washes 9 cars in 4 hours. Who
washes cars at a faster rate?
Answer:
Ito
Step-by-step explanation:
Make them to their closest common multiple which is twelve.
Next times 7 by 4 as 3*(4) is 12
Then time 9 by 3 as 3*(4) is 12
7*4=28
9*3=27
Therefore ito washes at a faster rate
Answer:
ITO
Step-by-step explanation:
ITO
He can wash 7 cars in 3 hours.
a) 3 x 60 min = 180 minutes
b) 180\7 = 25.71 minutes per car
JOAN
She can wash 9 cars in 4 hours
a) 4 x 60 = 240 minutes
b) 240\9 = 26.66 minutes per car
A jar contains 2 caramels, 7 mints, and 16 dark chocolates. What is the probability of choosing a dark chocolate, eating it and then choosing a caramel?
Answer: dark chocolate 16/25 carmel 1/12
Step-by-step explanation:
there are 16 dark chocolates
to find the probability you have to add up all of your numbers
2+7+16= 25
so the probablity of drawing a dark chocolate is 16/25
repeat the steps but subtract 1 from the total since you ate one you didn't put it back.
so the probability of drawing a carmel is 2/24 or simplified 1/12