Answer:
The distance between the two points is 6.3 units
Step-by-step explanation:
Here, we want to find the distance between the two points
We have the equation to find this as follows;
D = √((x2-x1)^2 + (y2-y1)^2
where (x1,y1) = (-4,2) and (x2,y2) = ((2,4)
so we have the length calculated as follows;
D = √(2-(-4))^2 + (4-2)^2
D = √6^2 + 2^2
D = √36 + 4
D = √40
D = 6.3 units
You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for the loan?
Answer:
133.33
Step-by-step explanation:
sorry if im incorrect
Answer:
800
Step-by-step explanation:
Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?
At a certain middle school, there are 200 5th graders, 220 6th graders, 180 7th graders, and 150 8th graders. The Dean of Students chooses a scholar at random to help run Community Circle. What is the probability that a 7th grader is chosen?
Answer:
6/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
probability that a 7th grader is chosen = total number of 7th graders / total number of students
total number of 7th graders = 180
total number of students = 200 + 220 + 180 + 150 = 750
180 / 750
To transform to the simplest form. divide both the numerator and the denominator by 30
6 / 25
Sandra can run 3 miles in 20 minutes. How many minutes will it take her to run 7 miles?
Answer:
46.7 minutes to run 7 miles
Step-by-step explanation:
3 miles in 20 minutes boils down to the unit rate 3/20 miles/minute.
Multiply 7 miles by the unit rate (20/3 minutes/mile):
(7)(20)
---------- minutes, or approximately 46.7 minutes to run 7 miles
3
Question 8
1 pts
Write the equation of a line that passes through the point (-5,-4) and has
a slope of 1/5.
O y = 0.2x + 3
O y = 0.2x - 3
O y=-3x -0.2
O y = 0.2x - 4
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Answer:
B) y=1/5x-3 where 1/5=0.2.
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=1/5(x-(-5))
y+4=1/5(x+5)
y=1/5x+5/5-4
y=1/5x+1-4
y=1/5x-3
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Answer:
A = 126 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = 14 × 9 = 126 cm²
What it (f+g)(y) for the functions
F(y)=5y^2-2y+1
G(y)=-3y^2-y-2
Answer:
The first choice
Step-by-step explanation:
In the picture above, Goodluck.
us
Complete the square
to find the vertex
of this parabola.
x2-14x+4y+29=0
( , )
Answer:
y=3x+29
Step-by-step explanation:
4y=12x+29
4y/4=12x+29/4
y=3x+29
Answer:
(7,5)
Step-by-step explanation:
El 15% de las ventas de un comercio ha sido de productos que valían 100€ o más. Si se han realizado 595 ventas de productos que valían menos de 100€, ¿que numero de ventas se han realizado en total?
Answer:
700 total sales
Step-by-step explanation:
The computation is shown below:
After 15% discount i.e.
= 100 - 15
= 85%
Now
85% = 595 sales of less than € 100
So,
15% = x sales of € 100 or more than € 100
After this
(595 × 15) ÷ 85 = 105 sales of € 100 or more than € 100
The number of total sales is
= 595 + 105
= 700 total sales
100 points / please help
A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?
a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional
Answer:
Recipe A
Step-by-step explanation:
Hope this helped!!!
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
Recipe A:Cups of flour used = 3
Rolls made = 12
Cups of flour per roll
[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]
Recipe B:Cups of flour used = 5
Rolls made = 24
Cups of flour per roll
[tex] \frac{5}{24} \\ = 0.20[/tex]
Recipe C:Cups of flour used = 11
Rolls made = 48
Cups of flour per roll
[tex] \frac{11}{48} \\ = 0.22[/tex]
Now compare Recipe A, B & C.[tex]0.25 > 0.22 > 0.20[/tex]
Recipe A > Recipe C > Recipe B.
✏ So, Recipe A used the most cups of flour per roll (option a).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
A kite is designed on a rectangular grid with squares that measure 1 cm by 1 cm. A piece shaped like a rhombus within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of space reserved for the logo.
Please help!!
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a spade?
Answer:
Probability of ace of spades [tex]\frac{1}{52}[/tex]
probability of any spade card [tex]\frac{13}{52}[/tex]
Answer:
1/28
Step-by-step explanation:
Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and drawn at random , what is the probability that you will draw the letters F-R-E-D in that order?
Answer:
24
Step-by-step explanation:
F R E D
F R D E
F E R D
F E D R
F D E R
F D R E
so for each letter u have 6 so 4 x 6=24
Solve for X.
Then, solve for Y.
Finally, solve for Z.
Answer:
x = 29.5
y = 48.16
z = 34.05
Step-by-step explanation:
Sorry if the explanation is messy
answer
x=29.44
y=48.08
z=68
Step-by-step explanation:
opp/adj = tan(30)
17/x = tan(30)
x = 29.44
hyp^2 = x^2+y^2
hyp^2 = (29.44)^2 + (17)^2
hyp^2 = 867 + 289
hyp = 34
opp/hyp = Sin(45)
34/y = Sin(45)
y = 48.08
adj/hyp = Cos(45)
z/(48.08) = Cos(45)
z = 68
A car travels about 63 feet in one second. At this speed about how many feet will the car travel in 7 seconds.
Answer:
441 feetStep-by-step explanation:
First we need to make this word problem into just numbers. Since we know feet per second (fps) we will multiply this by the given amount of seconds to find the answer
63 × 7
Now solve
After solving you should get 441 which is the answer
*EXTRA*
I have included a graph but it is hard to use since it is such a narrow line but still helpful since there is the equation included
what are sides 'a' and 'b' called in a right triangle
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry.
Step-by-step explanation:
The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (sides a and b ).
Answer:
The legs
Step-by-step explanation:
In a right triangle, sides a and b are called "the legs." These are the sides that create the right angle. Side c is called the hypotenuse and it is the longest side of a right triangle. Side c is opposite of the right angle.
I hope this helps!
DUE AT 12 SO LIKE HURRY
Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)
a
2 years
b
2.5 years
c
3 years
d
3.5 years
Answer:
2.5
Step-by-step explanation:
Answer: b. 2.5 years
Step-by-step explanation:
The formula for Interest is:
= principal × rate × time
Then, we slot in the values given which will be:
Interest = principal × rate × time
50 = 1000 × 2% × Time
50 = 1000 × 0.02 × Time
50 = 20 × Time
Time = 50/20
Time = 2.5 years
He has 2.5 years to pay back
You own a truck that has a trailer in the shape of a rectangular prism. It has a height of 15 m and a length of 40 m, and a width of 10 m. If you wish to fill this trailer with 5m x 5m x 5m cubic boxes, how many boxes will fit into the trailer?
48 boxes
600 boxes
1,200 boxes
240 boxes
Answer:
48 boxes
Explanation:
First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.
15*40*10= 6,000
Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.
5*5*5= 125
Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.
6,000/125= 48 boxes
The length of a garden is 6 feet more than the width. The area is 40 square feet. write an algebraic equation to determine the length and width of the garden. What is the length, in feet, of the garden?
Answer:
[tex](y + 6 = x) \times (x - 6 = y) = {40}^{2} feet[/tex]
Step-by-step explanation:
[tex](y + 6 = x) \times (x - 6 = y) = {40}^{2} feet \\ 6 \times 6 = 36 \\ 40 - 36 = 4 \\ (4 + 6 = 10) \times (10 - 6 = 4) \\ 10 \times 4 \\ = 40[/tex]
What is the midpoint between (3,-1)and(7,-5)
Please answer this question correctly
Answer:
6
Step-by-step explanation:
Answer: GE=6
Step-by-step explanation:
Helps are really appreciated!!
Answer:
a) 58.24 square centimeters
b) 5cm
Step-by-step explanation:
a) Area of a parallelogram
The formula for the Area of a parallelogram = Base × Height
Height : 5.2cm
Base : 11.2cm
Area = 5.2 cm × 11.2cm
= 58.24 square centimeters
b) Volume of a cuboid
The formula for the Volume of a cuboid = Length × Width × Height
7cm = Width
3cm = Length
y = Height
Volume = 105cm³
We are to find y
Hence,
105cm³ = 7cm × 3cm × y
y = 105cm³/7cm × 3cm
y = 5cm
Lucy flipped a coin 140 times. What is the
theoretical probability that it will land on
tails? Your answer must be in fraction form.
Answer:
70/140 or 1/2
Step-by-step explanation:
Marco has 2 bags of flour with 6
cups of flour in each bag. He makes 6 batches of muffins and uses 1 2/3
cups of flour for each batch.
How many more batches of muffins can Marco make with the flour he has left?
Answer:
2 batches
Step-by-step explanation:
help please find the x
Step-by-step explanation:
a)
Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°
[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]
b)
Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle
[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]
It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.
Answer:
95% confidence interval for the mean
(6.61251, 7.38749)
Step-by-step explanation:
Step:-1
Given that a random sample 'n' = 60
Given that mean of the sample x⁻ = 7.0
Given that the standard deviation of the sample (S) = 1.5
Level of significance = 0.05
Degrees of freedom = n-1 = 60-1 = 59
t₍₀.₀₅ , ₙ₋₁₎ = 2.0010
Step(ii):-
95% confidence interval for the mean is determined by
[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]
[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]
(7.0 - 0.38749 , 7.0 + 0.38749)
(6.61251 , 7.38749)
Final answer:-
95% confidence interval for the mean
(6.61251 , 7.38749)
Roberta stood on a 36 in. high chair, then jumped into a
18 in. deep hole. Which equation applies to her action?
BRAINIEST TO WHOEVER RIGHT
Answer:
median is 8 it's always the middle, play the elimination game
Mr. Sims wants to buy a new truck. He sold his old truck for $3,582, and he has $4,979 in the bank. If a new truck costs $9,005, how much more money does he need in order buy the new truck?
Answer:
$444
Step-by-step explanation:
3,582 + 4,979 = 8,561
9,005 - 8,561 = 444
Which figure will result from this net?