Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between (-5,8) and (-3,1) is
[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]
[tex]d=\sqrt{(-3+5)^2+(-7)^2}[/tex]
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]
[tex]d=\sqrt{4+49}[/tex]
[tex]d=\sqrt{53}[/tex]
Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³
[tex]\frac{4}{3}[/tex]π * (5)³
[tex]\frac{4}{3}[/tex]π * 125
523.333 mm³
may someone plz answer this
Answer:
At least 2 weeks
Step-by-step explanation: You divide until you reach 200
The lunch special at a diner offers you a choice of 5 sandwiches, 2 salads, 3 soups, 6 drinks, and 2 desserts. How many different meals are possible if you choose one item from each category?
Answer:
360
Step-by-step explanation:
there are 360 different meal combos possible if you choose 1 of each because 5×2×3×6×2 is 360
Amber has a dog walking business. she walks a golden retruever 1.8 miles each work day for a week. How many miles does Amber walk the golden retreiver? plz tell me i will give you brainlist
Answer:
12.6
Step-by-step explanation:
Answer:9 miles
Step-by-step explanation:
5 working daya x 1.8 miles = 9 miles
Step-by-step explanation: 1.8 x 7
Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth
Answer:
The cashier is wrong
[tex]Amount = 64.99[/tex]
Step-by-step explanation:
Given
[tex]Jeans=34.95[/tex]
[tex]Shirt = 24.95[/tex]
[tex]Sales\ Tax = 8.5\%[/tex]
Solving (a): Is the Cashier's step correct?
The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.
Solving (b):
First, calculate the total cost by adding the cost of jeans and shirt respectively:
[tex]Total = 34.95 + 24.95[/tex]
[tex]Total = 59.90[/tex]
Next, multiply the sales tax percentage to the total cost to get the sales tax amount.
[tex]Sales\ Tax = 8.50\% * 59.90[/tex]
[tex]Sales\ Tax = 5.0915[/tex]
Add the sales tax to the total, this gives the total payable amount.
[tex]Amount = 59.90 + 5.0915[/tex]
[tex]Amount = 64.9915[/tex]
[tex]Amount = 64.99[/tex] approximated
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year period?
The clock below shows what time mason mom drops him off for practice . what time did mason mom drop him off
Answer:
where is the clock?
Step-by-step explanation:
A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Represent this situation with a fraction.
a. Represent this situation using the same units.
b. Estimate the quotient.
c. Express the divisor as a whole number.
d. Use the division algorithm to find the quotient.
e. Use multiplication to check your work
Answer:
The correct answers are:
a) 3625.26 miles OVER 6.9 miles
b) 36252.6 tenths miles÷ 69 tenths hours
c) 3500 miles over 7 hours = 500 miles over hours
d) 3625.26 miles 10 over 6.9 hours 10 = 36252.6 miles over 69 hours
e) 525.4 miles/h
Step-by-step explanation:
Brainliest please?
Let r = unit rate of the plane
r = (3,625.26 miles)/(6.9 hours)
You now have the correct fraction set up to answer a through e.
Take it from here.
What is the area of the bedroom ?
Answer:
what bedroom...............?
Answer:
[tex]95ft^2[/tex]
Step-by-step explanation:
We need to multiply 10 feet by 9 feet 6 inches.
6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.
Multiply 10 by 9.5.
(10)(9.5) = 95
Therefore the answer is 95ft squared.
Hope this helps!!
- Kay :)
solve each system of equation by elimination
{y=-x+1
{y= 4x-14
Answer:
(3, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -x + 1
y = 4x - 14
Step 2: Rewrite Systems
y = 4x - 14
Multiply everything by -1: -y = -4x + 14Step 3: Redefine Systems
y = -x + 1
-y = -4x + 14
Step 4: Solve for x
Elimination
Combine equations: 0 = -5x + 15Isolate x term: -15 = -5xIsolate x: 3 = xRewrite: x = 3Step 5: Check
Define equation: y = -x + 1Substitute in x: y = -3 + 1Add: y = -2420 presents in 15 hours at this rate how many presents does Santa deliver in 5 hours
Answer:31500
Step-by-step explanation:hope it helps!
Answer:
140
Step-by-step explanation:
420/15=28
28x5=140
Whoever helps gets BRAINLIEST
The answer D. 275
Hope this helps :)
Mrs. Taft keeps inventory of the copy paper in the school copier room. Nine weeks ago, there were 150 reams of copy paper in the room. Now, there are 85 reams left. Which of the following two expressions are equivalent to the average weekly change in the number of reams of copy paper in the copier room over this time period?
Choices: -9/65, 9/-65, 65/-9, -65/9 (the negative for this one applies to both numbers.) and -65/-9
Answer:
-9/65
Step-by-step explanation:
The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the shortest leg and the hypotenuse of the triangle.
Answer:
Shortest Leg: 5 inches, Hypotenuse: 13 inches
Step-by-step explanation:
A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.
write a linear function with f with f (5) = -1 and f (0) = -5
Answer:
5y = 4x-25
Step-by-step explanation:
Let f(x) be regarded as y
So we have two points
(5,-1) and (0,-5)
We start by finding the slope of the line connecting the two points
m = y2-y1/x2-x1
m = -5+1/0-5 = -4/-5 = 4/5
The general equation of a straight line is;
y = mx + b
where m
is slope and b is the y-intercept
we already have the slope as 4/5
So;
y = 4x/5 + b
To get b, substitute one of the points
Let us use (0,-5)
-5 = 4(0)/5 + b
so b = -5
The equation is;
y = 4x/5 - 5
Multiply through by 5
5y = 4x - 25
8x – 12y = 48
Find the x-intercept and y-intercept
Answer:
my answer came out to x = 6 + 1.5y
Step-by-step explanation:
1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2
Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation:
Can you please help
Plzzzzzz
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation:
Eva paid $16 for some notebooks and a backpack . She paid $1.25 for 5 notebooks.how much did she pay for her backpack ?write the equation
Answer:
10 dollars ALSO CAN SOMEONE PLEASE ANSWER MY QUESTION
Step-by-step explanation:
1.25 times 5=6
16-6=10
Answer:
$9.75
Step-by-step explanation:
Notebooks - $1.25 each
Number of notebooks bought - 5
Total money spent - $16
5 * 1.25 = 6.25
16 - 6.25 = 9.75
$9.75
What is the answer??
Answer:
letter C is the right answer
At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?
Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
2. If f(x) = 2(x - 3)2 find f(-8).
Answer:
-44
Step-by-step explanation:
PLEASE HURRY I WILL MARK BRAINLIEST
A triangle with an area of 646 m2 has a height of 68 m. What is the length of the base of the triangle?
Base = __________
Answer:
9.5m
Step-by-step explanation:
646÷ 68 = 9.5 m
area ÷ height = base of triangle
a number that can be writtin as a fraction oftwo integers is called a ....
Answer:
x
Step-by-step explanation:
Answer:
a rational number
Step-by-step explanation:
Mrs. stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. how old is Mrs. stone now, if 9 years ago Alex was two times older than Joyce?
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated in the election in all? Round your answer to the nearest whole number.
Answer:
2067 voters
Step-by-step explanation:
Suppose that three out of five voters support a candidate.
This means 3/5 votes support a candidate
Let the total number rod candidates be represented as x
If 1,240 voters support the candidate,
how many voters participated in the election in all?
Hence,
3/5 of x = 1240 voters.
3/5 × x = 1240
3x /5 = 1240
Cross Multiply
3x = 1240 × 5
x = 1240 × 5/3
x = 2066.6666667 voters
Approximately to the nearest whole number:
2067 voters
Mass = 10 g
Density = Mass/volume
Volume of a cube = (side length)3
Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.
You may use a calculator for this section.
Measurement1.7 cm
FIRST ANSWER GETS BRAINLIEST
Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.
First we want to determine the volume.
The volume of a cube, is equal to his cubic side length, where L is the side length:
So
So the volume of the cube is 15.625 cubic centimeters.
Now we want to calculate te density of the material, as you know:
This means that the density is 0.64 grams per cubic centimeter.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1. Determine the value: V=L^3
so, (1.7)^3= 4.913
2. Calculate the density: mass divided by volume
10 divided by 4.913= 2.0
Answer: 2
you
are studying bacteria; the
population originally started with 6000
bacteria. After
28,000 cells.
a.) Find the exponential model (equation)
2 hours,
tiere
were
Cells expected after 4
b.) How
many
hours?
* algebra 2*
Answer:
I think it's b I hope I help
Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?
Answer:
$ 3.39
Step-by-step explanation:
X = 45 - (13.87*3)
x = 45 - 41.61
x = 3.39