Answer:
(-0.5, 0.5)
Step-by-step explanation:
midpoint formula:
[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]
[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]
[(-1) / 2], [(1) / 2]
(-0.5, 0.5)
A square patio has an area of 122 square feet. How long is each side of the patio to the nearest 0.05?
Which of the following statements is true? (8.2D)
Answer:
Where is the statement
Question 3
If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.
AVE
Blank 1:
Answer: when x = 7, y = 16
Step-by-step explanation: Here, we know that y varies inversely as x.
When we have two sets of inversely related coordinates, x₁ and y₁,
and x₂ and y₂, we can use the product rule, shown below,
to find the missing value.
x₁ y₁ = x₂ y₂Here, we know that y = 14 when x = 8 so
one set of coordinates will be 8 and 14.
We want to know the value of y when x = 7.
So our other coordinates will be 7 and y.
So we have (8)(14) = (7)(y).
Simplifying, (8)(14) is equal to 112 and (7)(y) is equal to 7y.
So we have 112 = 7y.
Now we simply solve for y by dividing both sides of the equation by 7.
The 7's on the right side cancel out and
on the left, 112 divided by 7 is equal to 16.
So we have 16 = y.
So when x is equal to 7, y is equal to 16.
is - 3/10 rational or irrational?
Answer:
rational
Step-by-step explanation:
Answer:
The fraction 3/10 is a rational number. All fractions are rational numbers.
b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.
Answer:
[tex] \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}[/tex]
Step-by-step explanation:
Let Cost price ( C.P ) be x
Finding the Marked price and selling price
Marked price = [tex] \sf{x + 20\% \: of \: x}[/tex]
⇒[tex] \sf{x + \frac{20}{100} \times x}[/tex]
⇒[tex] \sf{ \frac{x \times 100 + 20x}{100} }[/tex]
⇒[tex] \sf{ \frac{120x}{100} }[/tex] ⇒ ( i )
Selling price = [tex] \sf{marked \: price \: - 18\% \: of \: marked \: price}[/tex]
⇒[tex] \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }[/tex]
⇒[tex] \sf{ \frac{120x}{100} - \frac{54x}{250} }[/tex]
⇒[tex] \sf{ \frac{120x \times 5 - 54x \times 2}{500} }[/tex]
⇒[tex] \sf{ \frac{600x - 108x}{500} }[/tex]
⇒[tex] \sf{ \frac{492x}{500} }[/tex] ⇒ ( ii )
Finding the value of x ( Cost price )
[tex] \sf{loss = cost \: price - selling \: price}[/tex]
⇒[tex] \sf{20 = x - \frac{492x}{500} }[/tex]
⇒[tex] \sf{20 = \frac{x \times 500 - 492x}{500} }[/tex]
⇒[tex] \sf{20 = \frac{8x}{500} }[/tex]
⇒[tex] \sf{8x = 10000}[/tex]
⇒[tex] \sf{x = \frac{10000}{8} }[/tex]
⇒[tex] \sf{x = \: Rs \: 1250}[/tex]
Value of x ( cost price ) = Rs 1250
Now, Replacing the value of x in ( i ) in order to find the value of marked price
[tex] \sf{marked \: price = \frac{120x}{100} }[/tex]
⇒[tex] \sf{ \frac{120 \times 1250}{100} }[/tex]
⇒[tex] \sf{ \: Rs \: 1500}[/tex]
Replacing value of x in ( ii ) in order to find the value of selling price
[tex] \sf{selling \: price = \frac{492 \: x}{500} }[/tex]
⇒[tex] \sf{ \frac{615000}{500} }[/tex]
⇒[tex] \sf{ \: Rs \: 1230}[/tex]
Thus , Marked price of the fan = Rs 1500
Selling price of the fan = Rs 1230
Hope I helped!
Best regards!!
Write the number marked with an arrow on the number line below as an improper (top-heavy) fraction.
===============================================
Explanation:
Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.
So each small tickmark represents 1/5 of a unit.
The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5
The 6 is the whole part, while 3/5 is the fractional part.
----------------
Let's convert to an improper fraction
6 & 3/5 = 6 + 3/5
6 & 3/5 = 6*(5/5) + 3/5
6 & 3/5 = 30/5 + 3/5
6 & 3/5 = (30+3)/5
6 & 3/5 = 33/5
----------------
You could also use the formula
a & b/c = (a*c + b)/c
to get
6 & 3/5 = (6*5 + 3)/5
6 & 3/5 = 33/5
Solve the simultaneous equations 5x+4y = 1 and 3x - 6 y = 2.
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Answer:
First equation: x= 1 y= -1
Second equation: x = 2/3 y = 1/-3
Step-by-step explanation:
glynis drove a golf ball from a point 126 yd north of the ninth hole to a point 53 yd south of the hole. How far did the ball travel?
Answer:
179 yds traveled in total.
Step-by-step explanation:
If the ball was 126 yd north of the ninth hole then it would be 126 yd to the hole.
Then you would have to go another 53 yd south to get to the ball.
So if you add the two together then it would be 179 yds traveled.
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1cup of the vanilla powder has the mass of 128 grams. He added 2/3 of a cup of vanilla powder to the flour. Should Jeff add more vanilla powder to make the exact recipe, or did he go over and by what amount?
Answer:
Jeff added 52 grams more
Step-by-step explanation:
GivenRequired vanilla = 32 gramsOne cup = 128 gramsUsed = 2/3 of a cupSolutionHow much is 2/3 cup:
2/3*128 = 84 gramsJeff added 84 grams instead of 32 grams, so he added:
84 - 32 = 52 grams more of vanilla powder than requiredFind the coordinates of
the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)
Answer:(6,-2)
Step-by-step explanation:
M is the midpoint of AB then ,
M = [tex]\frac{A+B}{2}[/tex]
[tex]5=\frac{x+4}{2}[/tex] , [tex]-2=\frac{y-2}{2}[/tex]
[tex]10=x+4[/tex] , [tex]-4=y-2[/tex]
[tex]x=6[/tex] , [tex]y= -2[/tex]
so, B= (6,-2)
The required endpoint is given as (6, 4 ).
Given that,
To determine the coordinates of the missing endpoint if M is the midpoint of AB. A(4, -8) and M(5,-2).
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(4, -8) and M(5,-2).
Definition of midpoint says,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 4, x = 5 , y₁ = -8, y = -2
now,
5 = [4 + x₂] / 2 ; -2 = [-8 + y₂] / 2
x₂ = 10 - 4 ; y₂ = -4 + 8
x₂ = 6 : y₂ = 4
Thus, the required endpoint is given as (6, 4 ).
Learn more about midpoints here: https://brainly.com/question/28224145
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1 1/2 * 14 Can you explain please i really don't remember how to multiply fractions
Answer:
21 or 21/1 or 42/2
Step-by-step explanation:
1. you need to change 1 1/2 to a uneven fraction
1 1/2 to 3/2
2. 3/2 * 14/1
3. Multiply across - 3/2 * 14/1 = 42/2
4.Then simplify: 21
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{1}{2} \times 14}[/tex]
Convert mixed fraction into improper fraction
⇒[tex] \sf{ \frac{2 \times 1 + 1}{2} \times 14}[/tex]
⇒[tex] \sf{ \frac{2 + 1}{2} \times 14}[/tex]
⇒[tex] \sf{ \frac{3}{2} \times 14}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term
⇒[tex] \sf{ \frac{3 \times 14}{2 \times 1} }[/tex]
⇒[tex] \sf{ \frac{42}{2} }[/tex]
Divide 42 by 2
⇒[tex] \sf{21}[/tex]
Hope I helped!
Best regards!!
1. What is happening when you are multiplying fractions?
Answer:
To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.
pls give brainliest
Girl scout troops went on a hike. First they walked 1 mile East, then 2 miles South, then 3 miles West and 1 mile North,then 2 miles East. How far are they from the starting point?
Answer:
south
Step-by-step explanation:
telling what way it is north south east
.
4. Find the difference. (1 point)
2.004 -1.34 - ?
O 0.764
0.664
O 1.344
O 1.364
I need the answer ASAP
Answer:
11.74
Step-by-step explanation:
I hope this helps you
Answer:
$9.99
Step-by-step explanation:
The goal is to get d all by itself. To do that first subtract 5.22 on both sides. Then you have 3d=29.97. Then you need to get rid of the 3. Divide the 3 on both sides to get d=9.99. D represent a dozen, so one dozen bagels equals $9.99.
some plz help me ! I don’t get this & plz explain it, thank you.
Answer:
Hey there!
[tex]\sqrt{5}= 2.24\\\sqrt{32}= 5.66\\\sqrt{70}=8.37[/tex]
Let me know if this helps :)
Solve for a.
3a + 15 = -9
Answer:
-8
Step-by-step explanation:
isolate the 3a by subtracting 15 from 9 which gives you -24 then divided 3a by -24 which gives you -8
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 8}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3a + 15 = - 9}[/tex]
Move 15 to right hand side and change its sign
⇒[tex] \sf{3x = - 9 - 15}[/tex]
Calculate
⇒[tex] \sf{3x = - 24}[/tex]
Divide both sides by 3
⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 24}{3} }[/tex]
Calculate
⇒[tex] \sf{x = - 8}[/tex]
Hope I helped!
Best regards! :D
Over a period of 12hours the temperature dropped 36° ° F. What was the average change in temperature in one hour?
divide the temperature by the number of hours
36/12
answer: 3 degrees
Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!
Step-by-step explanation:
Hey there!!
Given,
[tex] \frac{3}{z} = \frac{2}{5} [/tex]
Cross multiply.
15 = 2z
Therefore, z= 15/2
Hope it helps..
Answer:
z = 7.5
Step-by-step explanation:
3/z = 2/5
then:
3*5 = 2z
15 = 2z
15/2 = z
z = 7.5
Check:
3/7.5 = 2/5
How can you determine if a relation represented as a set of ordered pairs
is a function? Explain your reasoning.
Answer:
Hey there!
Using the vertical line test. In a function, one x value only has at most one y value.
Let me know if this helps :)
Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip. If 56 of the cookies are chocolate chip, how many cookies did she bake in all?
Answer:
She bakes 160 cookies in all.
Step-by-step explanation:
We are given that Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip and 56 of the cookies are chocolate chip.
Let the total number of cookies baked by Alyssa be 'x'.
Number of chocolate chip = 56
So, according to the question;
35% of total cookies = 56
35% of x = 56
[tex]\frac{35}{100} \times x = 56[/tex]
[tex]x=\frac{56\times 100}{35}[/tex]
[tex]x= 8 \times 20[/tex] = 160 cookies
Hence, Alyssa bakes 160 cookies for the bake sale.
two fifths of a number
Answer:
2/5x
Step-by-step explanation:
Step 1: Write out "two fifths" in number form
*This becomes a fraction*
2/5
Step 2: Write out "a number" in number form
*This is a variable*
x
Step 3: Combine "of a"
*This means multiply}
2/5x
What is this 5n+6+(−7n)
Answer:
4n
Step-by-step explanation:
1. -7n-5n= -2n
2. -2n + 6= 4n
Answer:
-2 + 6
Step-by-step explanation:
Hopefully I helped :) Sorry if i didn't atleast i tried !
You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?
Answer:
729 ways
Step-by-step explanation:
Given
Number of questions = 6
Choices = 3
Required
Number of ways of answering the questions
For each of the 6 questions;
There are 3 possible ways of selecting an answer;
The possible ways for the 6 questions is:
[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]
[tex]Possible\ Ways = 729[/tex]
Hence, there are 729 ways of answering the question
a cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled .use this information for items 12 and 13 . a.write an expression that can be used to determine the total cab fare for a distance of m miles. b.when sara arrived at her destination ,her cab fare was $7.50..write an equation to represent this situation .how many miles did sara travel?
Here's the whole thing +extras that are after
a.
f = total cab fare
m = distance travelled
f = 2 + 0.50m
b.
7.50 = 2 + 0.50m
c.
7.50 = 2 + 0.50m
7.50 - 2 = 0.50m
5.50 = 0.50m
5.50/0.50 = m
m = 11
Sara traveled 11 miles.
d.
f = 2 + 0.50m
f = 2 + 0.50 x 10
f = 2 + 5
f = 7
When the cab fare is over $7.00 on the holidays, $1 is discounted off the fare.
e.
Yes, Lupe traveled more than 10 miles. (refer to calculations used in c.)
Using the following data state errors in the box and whisker plot 33,27,6,34,31,59,26,1,30
AnswerStep-by-step explanation:
To find out the errors made in the data plot, let's determine what the five-number summary of the data set that should be displayed by the box plot should be.
First, order the data set given:
1, 6, 26, 27, 30, 31, 33, 34, 59
The five-number summary are:
1. Min value = 1
2. Max value = 59
3. Median = 30
1, 6, 26, 27, (30),31, 33, 34, 59
4. Q1 = (26+6) ÷ 2 = 16
1, [6, 26], 27, (30), 31, 33, 34, 59
5. Q3 = (33+34) ÷ 2 = 33.5
1, 6, 26, 27, (30), 31, [33, 34], 59
The errors in the box and whisker plot are:
1. The min value was displayed as 0 instead of 1.
2. The first quartile (Q1) was displayed as 10 instead of 16
3. The third Quartile (Q3) was displayed as 35 instead of 33.5
4. The max value was displayed as 60 instead of 59.
find the perimeter of the triangle? what does 2 represent in the triangle?
Answer:
i got 11.8 and what do u mean by the 2, do u mean the 2 strokes, that means that they are equal
Step-by-step explanation:
Answer:
6 + 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since the triangle is isosceles then the 2 marked sides are congruent.
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Thus perimeter (P) is the sum of the 3 sides
P = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{20}[/tex] + 6 + [tex]\sqrt{5}[/tex]
= 2([tex]\sqrt{4(5)}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]
= 2 ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]
= 2(2[tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]
= 4[tex]\sqrt{5}[/tex] + 6 + [tex]\sqrt{5}[/tex]
= 6 + 5[tex]\sqrt{5}[/tex]
Find the number of possible outcomes. A sandwich shop has three types
of sandwiches': ham, turnkey, and chicken.
Answer:
384 possible combinations are available.
Step-by-step explanation:
Types of sandwiches = 3
Types of bread = 2
Available toppings = 6
Choices for each topping = 2
Total combinations available = 3.2.2.2.2.2.2.2
= 3(128)
= 384
7. Erica’s piggy bank has quarters and nickels in it. The total number of coins in the piggy bank is 50. Their total value is $8.90. How many of each type are in the piggy bank?
Answer:
33 quartes and 5 nickels
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST: How many terms of the arithmetic sequence -1, 2, 5,… must be added to get 609?
Answer:
OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work
Step-by-step explanation:
The number of the terms will be 20 to get the sum of 609.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given sequence is -1, 2, 5,… the sum is 609.
The number of the terms will be calculated by using the sum formula;-
Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]
609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]
609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]
609 = ( n / 2 ) [ ( -5 + 3n ) ]
1218 = -5n + 3n²
3n² -5n -1218 = 0
n = 20
n = -21
Therefore, the number of the terms will be 20 to get the sum of 609.
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