Answer:
13 units
Step-by-step explanation:
Given points (10,–7) and (5,5)
To find distance between points we apply distance formula
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
(x1,y1) is (10,–7) and (x2,y2) is (5,5)
Plug in the values in the formula
[tex]D = \sqrt{(5-(-7))^2+(5-10)^2}[/tex]
[tex]D = \sqrt{(12)^2+(-5)^2}[/tex]
[tex]D = \sqrt{(144+25)}[/tex]
[tex]D = \sqrt{169}[/tex]
D= 13
Lindsay has two packages she wants to mail one package weighs 6.3 ounces and the other packages Weighs 4.9 ounces how much do the packages weigh together
Answer:
Your answers is 11.2 OUNCES!
Step-by-step explanation:
Error, Wont let me show work, But the answer is 11.2 OUNCES, I'm positive! :)
The total weight in ounces of the entire packages of Lindsay is 11.2 ounces.
Given data:
Lindsay has two packages which weighs 6.3 ounces and 4.9 ounces respectively.
To find the total weight of the two packages, add the individual weights together.
Package 1 weight: 6.3 ounces
Package 2 weight: 4.9 ounces
Total weight = Package 1 weight + Package 2 weight
On simplifying the equation:
Total weight = 6.3 ounces + 4.9 ounces
Total weight = 11.2 ounces
Hence, the packages weigh together a total of 11.2 ounces.
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Kim's furniture store is offering a 30% discount on all its armchairs. Using a proportion, find the discount of the price of an armchair that originally cost $266.00.
Answer:
The discount is $79.80
Step-by-step explanation:
We need to solve this using proportions. We take the percent out of 100 on one side of the ratio and the discount over the total price on the other.
30 discount
----- = ----------
100 266
30* 266 = 100 * discount
7980=100 discount
Divide each side by 100
7980/100 = discount
79.80 = discount
13. Solve –5√ x = –15. A. x = –9 B. x = –7 C. x = 9 D. x = 7
[tex]Domain:x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\to \boxed{x=9}\to\boxed{C.}[/tex]
What is the answer to number 10?
Answer:
E 8
Step-by-step explanation:
y = w x^2
If we double w and x, replae w with 2w and x with 2x and solve for y
y = (2w) * (2x)^2
Do the powers first
y = 2w * (4x^2)
y = 8wx^2
Y is now increased by a factor of 8
Answer:
Y will be multiplied by 8.
Right option is (E)
Step-by-step explanation:
We have, y = wx²
y is not 0.
If w and x are doubled
That means,
w' = 2w and x' = 2x
So , y' =w'x'²
or y' = (2w)×(2x)²
or y' = 2w×4x²
or y' = 8wx²
Since y = wx²
so y' = 8y.
That means if we double the w and x then y will be multiplied by 8.
8 out of the 20 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders? Write your answer using a percent sign (%)
Answer:
40%
Step-by-step explanation:
Take 8 and divide it by 20 to get the percent.
Answer:
40%
Step-by-step explanation:
To find this, the method I personally like to use is the is over of equals percent over 100.
Your ratio should look like this:
[tex]\frac{8}{20}[/tex] = [tex]\frac{x}{100}[/tex]
Then I cross multiplied; 8 x 100 divide that product by 20.
Hope this helps!
There will be 6 people at ellies pie party she wants to bake enough pie so each person can eat at least 1/5 of pie what is the minimum number of pies ellie should bake?
Answer:
2
Step-by-step explanation:
She needs to have 6 portions of 1/5 pie size.
6 portions of 1/5 pie size is 6/5 of a pie.
6/5 of a pie is the same as 1 1/5 (one and one-fifth) pies.
Since she only bakes full pies, she must round up to the next higher whole number, so she must bake 2 pies.
In its first year of business, Arlo’s Dry Cleaners had a closing balance of –$1,500. The second year it lost an additional $1,200. What is the closing balance at the end of year two?
Answer:
-2700 dollars
Step-by-step explanation:
The first year we have a loss of 1500 dollars. On the balance sheet we write -1500, with the negative indicating loss. Some accounting practices will use parenthesis to mean loss, so you might see it as (1500). But in this problem, we'll use negative signs for loss.
The second year is loss of 1200. Add up the two losses (the positive versions of each) to get 1500+1200 = 2700. Then make the result negative. Taking one loss and adding more loss to it means your loss has gotten bigger. So that's why the closing balance at the end of year 2 is -2700 dollars, which is a loss of 2700 dollars.
Answer:
1.
a. -3
b. 9
c. 5
d. -12
2.
a. 9 + (–6) = 3
b. (–5) + 8 = 3
c. (–12) + (–6) = -18
d. 10 – (–8) = 18
e. (–4) – (+2) = -6
f. –9 – (–5) = 4
3.
a. 8 * 3 = 24
b. -7 * 5 = -35
c. -6 * -9 = 54
d. 8 / -2 = -4
e. -24 / -3 = 8
f. -36 / 6 = -6
4.
$65.00 - $82.00 = -$17
5.
$84
6.
-$1,500 + -$1,200 = -$2,700
Step-by-step explanation:
What is the remainder when (4x3 + 2x2 − 18x + 38) ÷ (x + 3)?
A2
B96
C12
D110
Answer: A
Step-by-step explanation: I use synthetic division for problems like these:
-3 | 4 2 -18 38
4 -10 12 2
Since -3 + 3 = 0, we use -3 in this process. Write out the coefficients in order separate from -3. Next, bring down the 4 and multiply -3 by 4 = -12. Add 2 and -12 = -10. Multiply -10 by -3 = 30. Add 30 to -18 to get 12. Multiply 12 and -3 = -36. Add -36 and 38 = 2
Answer:
A) 2
Step-by-step explanation:
correct answer on my test
PLEASE HELP!!!
Sam (4, 2) Theater (-3, 5)
Describe Sam's location relative to the theater.
Answer:
The theater is approximately 3.16 units from Sam's location.
Step-by-step explanation:
The distance between points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is given by:
[tex]d=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }[/tex]
So, the distance of the theater from Sam's location is:
[tex]d=\sqrt{(-3-(-4) )^{2}+(5-2 )^{2} }[/tex]
[tex]=\sqrt{1^{2}+3^{2} }[/tex]
[tex]=\sqrt{10}[/tex]
= 3.16 approximately
Hence, the theater is approximately 3.16 units from Sam's location.
Geometry Question Answer Quick:
Answer:
BC =10
AC = 13.661
Step-by-step explanation:
We can use the law of sines to solve this problem
sin C sin B sin A
---------- = ---------- = ---------
AB AC BC
Lets substitute in what we know
sin 30 sin B sin 45
---------- = ---------- = ---------
5sqrt(2) AC BC
We can calculate angle B because all three angles have to add to 180
A+B+C = 180
45+B + 30 = 180
75+B=180
Subtract 75 from each side
75-75+B=180-75
B =105
sin 30 sin 105 sin 45
---------- = ---------- = ---------
5sqrt(2) AC BC
Using cross products and the first and third columns
BC sin 30 = 5 sqrt (2) sin 45
BC * .5 = 5 sqrt(2) * 1/2 sqrt(2)
1/2 BC = 5
Multiply by 2
2*1/2 BC = 5 *2
BC =10
Using cross products and the first and second columns
BC sin 30 = 5 sqrt (2) sin 105
sin 105 is really ugly as an exact answer
.5 AC = 5 sqrt(2) .966
Divide by .5
AC = 5 sqrt(2) .966/.5
AC = 13.661
Answer:
BC = 10
AC = 13.66
Step-by-step explanation:
Remark
Both sides are found using the law of sines
Formula BC
Sin(45)/BC = Sin(30)/(5√2)
Solution for BC
Sin(30) = 0.5
Sin(45) = √2 / 2
√2/2 // BC = 0.5/(5√2) Cross multiply√2/2 * 5√2 = 0.5 * BC Simplify the left2 * 5/2 = 0.5 * BC Cancel the 2s on the left5 = 0.5 * BC Divide both sides by 0.55/0.5 = 0.5/0.5 * BC Do the division10 = BCSolution for AC
<B = 180 - 30 - 45<B = 105Sin(105)/AC = Sin(45)/10Sin(105) = 0.9659Sin(45) = 0.70710.9659/AC = 0.7071/10 Cross multiply10*0.9659 = 0.7071 * AC9.659 = 0.7071 * AC Divide by 0.7079.659/0.7071 = ACAC = 13.66can u plz answer questions 5 through8 plz thank u so much
Question 5: 4) 2006-2012
Question 6: 8x^2+8x+1
Question 7: 2) 2
Question 8: a is picture on top, b is picture on bottom
Determine the direction that this parabola opens y= 4x^2 -8x+8
Answer:
see explanation
Step-by-step explanation:
given a parabola in standard form : y = ax² + bx + c : a ≠ 0
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
given y = 4x² - 8x + 8 ← in standard form
with a = 4, b = - 8 and c = 8
here a > 0 then parabola opens up
Factor the quadratic expression t^2 + 4t - 7
Answer:
Not factorable.
Step-by-step explanation:
We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.
-7 = 1 * -7
4t= 1t+-7t doesn't work
4t=-1t+7t doesn't work
This is not factorable.
Answer:
(t + 7) • (t - 11)
Step-by-step explanation:
Can someone help me with this question
Answer: Both 110 degrees
Step-by-step explanation:
2= 110 thanks to corresponding angles theorm
1=2 because of vertical angles theorom
what is the slope of the line i ready
The slope of the given line, determined from the graph and the point-slope form, is -0.5.
The slope of a line is a measure of its steepness. To determine the slope from a graph, you can use the point-slope form and the slope-intercept form of a linear equation.
Given a graph with points (0,1) and (0.5,0), you can calculate the slope as follows:
Use the point-slope form of a linear equation:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are points on the line.
Plug in the coordinates of the given points:
(y - 1) / (x - 0) = (0 - 1) / (0.5 - 0)
Simplify:
(y - 1) / x = -1 / 0.5
Further simplify:
2(y - 1) = -x
Rearrange to isolate y:
2y - 2 = -x
2y = -x + 2
y = (-1/2)x + 1
Compare this equation to the slope-intercept form, y = mx + c. In this case, the slope (m) is -1/2, which is equivalent to -0.5.
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The question probable may be:
what is the slope of the line
A phone company offers two monthly plans. Plan A costs $24 plus an additional $0.09 for each minute of calls. Plan B costs $20 plus an additional $0.14 for each minute of calls. For what amount of calling do the plans equal the same cost? What is the cost when the two plans cost the same?
x = number of minutes used, y = total cost in dollars
Plan A: y = 0.09x + 24
Plan B: y = 0.14x + 20
Equate the two right hand side (RHS) expressions and solve for x
0.14x + 20 = 0.09x + 24
0.14x - 0.09x = 24 - 20
0.05x = 4
x = 4/0.05
x = 80
The two plans will cost the same amount of money if you use up 80 minutes
Plug in x = 80 into either equation to find y
y = 0.09*x + 24
y = 0.09*80 + 24
y = 31.20
or
y = 0.14*x + 20
y = 0.14*80 + 20
y = 31.20
So both plans will cost $31.20 if you use up 80 minutes
A moving van rents for $29.95 a day plus $.12/mi.Mmi.Ms Smiths bill for a two day rental was $70.46. how many miles did she drive
Answer:
She drove 88 miles
Step-by-step explanation:
Total cost = fee per day + cost per mile * miles driven
We know the total cost was 70.46
The fee per day was 29.95 *2 =59.90. She kept the van 2 days.
The cost per mile was .12
Substitute in what we know
70.46 = 59.90 +.12 m
Subtract 59.90 from each side
70.46-59.90 = 59.90-59.90 +.12 m where m is the miles driven
10.56 = .12m
Divide each side by .12
10.56/.12 = .12m/.12
88=m
PLEASE AWNSER A prize machine randomly dispenses small toys. There are 15 prizes left:
5 bouncy balls, 3 toy cars, 2 stickers, and 5 dinosaurs.
Kai gets 2 prizes. What is the probability that they are both toy cars?
awnser choices are 3/70 1/35 3/75 and 2/70
Answer:
1/35
Step-by-step explanation:
Probability the first prize is a toy car
There are 3 toy cars and 15 prizes.
3/15 = 1/5
Probability the second prize is a toy car
Since we now have a toy car, there are are 2 toy cars left and only 14 prizes.
2/14 = 1/7
We have two events, so we multiply the probabilities.
1/5 * 1/7 = 1/35
The probability of getting 2 toy cars is 1/35
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 2?
Write your answer as a fraction.
Answer:
2/3
Step-by-step explanation:
Given that a six sided die with sides labelled with numbers 1,2,3,4,5 and 6 is rolled once.
Since die is said to be equally likely for each number, die is unbiased
P(1) = P(2)=...=P(6) = 1/6
For a number greater than 2, we must not include 2 and hence numbers can be 3 or 4 or 5 or 6
Probability of rolling a number >2 = Probability of rolling 3 or 4 or 5 or 6
= P(3)+P(4)+P(5)+P(6)
= 1/6+1/6+1/6+1/6
=4/6
=2/3
Required probability = 2/3
The probability of rolling a number greater than 2 on a six-sided die is 2/3. This is because there are 4 numbers greater than 2 on the die and the total number of possible outcomes when the die is rolled is 6.
Explanation:The subject of this question is probability, a topic in mathematics. To solve this problem, we need to first understand the total possible outcomes when rolling a six-sided die. The outcomes are the numbers 1 through 6, so we have 6 possible outcomes.
To find the probability of rolling a number greater than 2, we need to determine how many outcomes match this condition. The numbers greater than 2 on a six-sided die are 3, 4, 5, and 6. So, there are 4 favorable outcomes.
Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of rolling a number greater than 2 on a six-sided die is 4/6, which simplifies to 2/3.
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Estimate the sum or difference of 23/40 11/30
The least common multiple (and i apologize for my English) of 40 and 30 is 120.
23×3 69 11×4 44
-------= ------ -------= -------
40×3 120 30×4 120
69/120 - 44/120 = 25/120 witch is equal to 5/24 if you simplify with 5.
The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
Help me please !
Answer:
156.86
Step-by-step explanation:
136.40 + 15% is 20.46 added to 136.40 is 156.86
Answer:
$156.86.
Step-by-step explanation:
We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.
The total bill including tip would $136.40 plus 15% of $136.40.
[tex]\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40[/tex]
[tex]\text{Total bill}=\$136.40+0.15\times \$136.40[/tex]
[tex]\text{Total bill}=\$136.40+\$20.46[/tex]
[tex]\text{Total bill}=\$156.86[/tex]
Therefore, the total cost of bill including tip would be $156.86.
A wooden board is leaning against a building. The base of the board is 4 feet from the base of the building, and the base of the board forms a 65 degree angle with the ground.
What is the length of the wooden board?
_____ft
Answer:
The length of wooden board = 9.4648 feet.
Step-by-step explanation:
The wooden board makes a Right triangle with the building in which we have wooden board as hypotenuse, building as opposite side, and ground as adjacent side, the angle of elevation is 65 degrees.
Given adjacent side = 4 feet and elevation angle = 65 degrees.
We can use cosine formula in right triangle as follows:-
Cos(65°) = Adjacent / Hypotenuse
cos(65°) = 4 / Hypotenuse
Hypotenuse = 4 / cos(65°)
Hypotenuse = 9.464806333 feet.
Hence, the length of wooden board = 9.4648 feet.
Final answer:
To find the length of the wooden board which forms a 65-degree angle with the ground and has its base 4 feet from the building, use the cosine function to calculate the hypotenuse of the right triangle formed. The length of the board is approximately 9.06 feet.
Explanation:
To find the length of the wooden board leaning against a building, we can use trigonometry. Since the base of the board forms a 65-degree angle with the ground, and the distance from the base of the building to the base of the board is 4 feet, we have a right-angled triangle where we know the angle and the adjacent side.
Step-by-step solution:
Identify the right triangle formed by the board, the ground, and the wall of the building.
Use the cosine function which relates the adjacent side and hypotenuse in a right triangle. The cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse (cos(θ) = adjacent/hypotenuse).
Rearrange the formula to solve for the hypotenuse: hypotenuse = adjacent/cos(θ).
Plug in the values: hypotenuse = 4 ft / cos(65°).
Calculate the length using a calculator: hypotenuse ≈ 4 ft / cos(65°) ≈ 9.06 ft.
The length of the wooden board is approximately 9.06 feet.
Help now please help help help
Answer:
r>7
Step-by-step explanation:
Subtract 2.92.9 from both sides
-1.3-2.9>-0.6r−1.3−2.9>−0.6r
Simplify -1.3-2.9−1.3−2.9 to -4.2−4.2
-4.2>-0.6r−4.2>−0.6r
Divide both sides by -0.6−0.6
\frac{-4.2}{-0.6}<r
−0.6
−4.2
<r
Simplify \frac{-4.2}{-0.6}
−0.6 −4.2 to 77
7<r
Switch sides
r>7
38 plus 22 times 36
Answer:
830
Step-by-step explanation:
38+(22*36)
start with parenthesis first so multiply 22* 36= 792
then add the 792+38 and get 830
Jenni buys a piece of fabric that is 4 7/8 yards long.What is the decimal equivalent of 4 7/8?
Answer: 4.875
Step-by-step explanation:
Starting fraction: 4 7/8
Make it mixed: 39/8
Now divide top by bottom: 4.875
The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. The graph shows points representing the total cost of the rental. A function graph of a ray with three points (0,40), (2,80) and (3, 100) with an x axis of zero to five Days and a y axis of zero to one hundred forty in Total Cost Which linear equation, in slope-intercept form, that models the total cost of the rental over time? y = 50x + 25 y = 75x y = 20x +40 y = x + 50 y = 25x
Answer:
y = 20x + 40
Step-by-step explanation:
Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.
That means fixed one time cost is $40 which doesn't changes with time.
If number of days is represented by "x" then rental cost for "x" days will be 20 times x or just 20x.
So the final cost will be sum of fixed cost and the rental cost per day which is:
20x+40
Now if "y" represents total rental cost over time then final cost equation can be written as:
y = 20x + 40
Hence final answer is y = 20x + 40y = 20x + 40.
Answer:The answer is Y=20x+40
Answer for some points
Answer: 17.3 ft
Step-by-step explanation:
Perimeter = 2 ( l + w ). So I did 45 divided by 2 which would be 22.5 then subtract that by 5.2 ft which is 17.3. 17.3 + 5.2 = 22.5 x 2 = 45 ft.
A school has a hurdle track that is of one fifth of a mile long. They are considering extending the track to be one fourth of a mile long. The committee wants to know the unit rate of length in the longer track per mile of length in the shorter track to make sure they have enough hurdles for the longer track. What is the unit rate?
Answer:
Step-by-step explanation:
24
a company uses paper cups shaped like cones for its water cooler. each cup has a height of 9cm, and the base has a diameter of 6 cm. the cooler had 12,717 cm to the third power of water in it. how many cups can be filled from the cooler?
use 3.14, do not round answer
Answer:
We can fill 150 paper cup cones.
Step-by-step explanation:
Volume of a cone is
V = 1/3 pi * r^2 *h
The volume of one cone is
pi = 3.14
r = d/2 = 6/2 =3
h=9
Substitute what we know
V = 1/3 * (3.14) * (3^2) * (9)
= 27* 3.14
= 84.78 cm^3
The water cooler has 12717 cm^3 water
Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.
12717/ 84.78 = 150
We can fill 150 paper cup cones.
The volume of one cone-shaped paper cup is 84.78 cm³. With 12,717 cm³ of water in the cooler, approximately 150 cups can be filled.
To find out how many paper cups can be filled from the water cooler, we first need to calculate the volume of one paper cup. Given that the cup is shaped like a cone with a height of 9 cm and a base diameter of 6 cm, we can find the volume using the formula for the volume of a cone, which is V = (1/3)\u03c0r^2h, where V is the volume, r is the radius of the base, and h is the height of the cone.
The radius of the base is half the diameter, so r = 3 cm. Plugging in the values into the formula, we get: V = (1/3)*3.14*(3²)*9.
Calculating this, we get V \<= 84.78 cm³ per cup. Now, to determine how many cups can be filled from the cooler containing 12,717 cm³ of water, we divide the total amount of water in the cooler by the volume of one cup:
Number of cups = 12,717 cm³ / 84.78 cm³.
This gives us approximately 150 cups that can be filled from the water cooler.
krystal wanted to make note cards by cutting pieces of paper in half. Before starting she got seven more pieces to use. When she was done she had 28 half pieces of paper. With how many did she start?