Answer:
[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]
Step-by-step explanation:
Dominique wants to buy [tex]2[/tex] liters of water.
Case 1:
A half-liter of water costs [tex]2.46[/tex].
The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:
[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]
=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $
Case 2:
A quarter-liter of water costs [tex]1.48[/tex].
The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:
[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]
=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $
Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.
=> She should buy the water, in which a half-liter of water costs $[tex]2.46[/tex]
Hope this helps!
:)
Given what is the domain in set notation? {x|x ∈ R, x ≥ 4} {x|x ∈ R, x ≤ 4} {x|x ∈ R, x ≥ 2} {x|x ∈ R, x ≤ 2}
Answer:
A
Step-by-step explanation:
answer on edg 2020
Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?
Answer:
y=-5x+44
Step-by-step explanation:
What is the angle of rotation from figure D to figure D’ ? Assume that the center of rotation is the origin.
A. 270° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 180° counterclockwise
Answer:
Option B.
Step-by-step explanation:
We take a point D from the figure attached,
Coordinates for the point D → (-1.5, 3.5)
And coordinates of D' → (3.5, 1.5)
Coordinates of D when rotated about the origin,
Option A. Rotated by 270° clockwise.
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
Therefore, Option A. is incorrect
Option B. rotation by 90° clockwise
Rule to be followed
D(x, y) → D'(y, -x)
D(-1.5, 3.5) → D'(3.5, 1.5)
Therefore, Option B. is correct.
Option C. 90° counterclockwise
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
This option C is incorrect.
Option D. 180° counterclockwise
Rule to be followed,
D(x, y) → D'(-x, -y)
D(-1.5, 3.5) → D'(1.5, -3.5)
Therefore, option D is incorrect.
Answer:
B. 90 clockwise
Step-by-step explanation:
which answer justifies why 10 1/3= 3^10
Answer:
they are not equal
Step-by-step explanation:
10 1/3 = 10.33333
3^10 =59049
10.333 does NOT equal 59049
Answer:
Brainliest here!
Step-by-step explanation:
10 1/3 = 10.33333 3333333...
3^10 = 59049
10.333 < 59049
not equal to
Find the equation of the line through point (-4,-4) and perpendicular to 2x+3y=3
A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the
prism?
the volume of the rectangular prism is 80 cubic centimeters.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.
Volume = length × width × height
Substituting the given values into the formula:
Volume = 5 cm × 8 cm × 2 cm
Calculating the multiplication:
Volume = 80 cm³
Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.
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A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
Support | Schlogging | PROFPOLICE | Tesale
Answer:
C =31.4 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
________________________________
Solution,
Radius(r)=5 inches
Circumference of the circle=?
Now,
Circumference of circle= 2 pi r
=2*3.14.5
=31.4 inches.
Hope it helps...
Good luck on your assignment
_______________________________
Alice was flying a kite when a gust of wind caught the kite in a tree. Alice is standing 10 feet from the base of the
tree, looking up at her kite at an angle of 25°. If Alice is 5 feet tall, approximately how high is the kite off of the
ground?
A4.66
B 9.66
C 21.45
D 9.23
Answer:
B. 9.66
Step-by-step explanation:
To find how high the kite is off the ground, we will follow the steps below;
we will use trigonometric ratio to solve the problem. That is;
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = opposite / hypotenuse
tanФ = opposite / adjacent
from the diagram below
Ф = 25°
opposite = x
adjacent = 10 feet
The best trig ratio to use is tan
we can now proceed to insert the values into the formula
tanФ = opposite / adjacent
tan 25° = [tex]\frac{x}{10}[/tex]
cross-multiply
x = 10 tan25°
x ≈4.66 feet
height of the kite off of the ground = x + height of Alice
=4.66 + 5
=9.66 feet
Therefore, the kite is 9.66 feet high off of the ground
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
Step-by-step explanation:
Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t
Answer:
Either
x = 4+3i /5 or x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac /2a
First lets compare the equation 5x² - 8x + 5 = 0 to the standard quadratic equation ax² + bx + c
a = 5 b = -8 and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac /2a
= -(-8)±√(-8)² - 4(5)(5) /2(5)
= 8 ±√64-100 /10
=8 ±√-36 /10
= 8 ±√36 . √-1 /10 note that √-1 = i
=8±6i /10
=[tex]\frac{8}{10}[/tex] ± [tex]\frac{6 i}{10}[/tex]
=[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
Either
x = 4+3i /5 or x = 4-3i /5
Answer:
answer in picture
Step-by-step explanation:
The last time Andy went bowling he had a mean score of 158
per game.
After three games Andy has a total score of 473. He thinks he
needs to score over 160 in game four to get a mean score
greater than 158.
(a) Is Andy correct?
Show why you think this.
Show a check of your working.
Your answer:
Answer:
no
Step-by-step explanation:
suppose he will get exactly the score of 160 in the game four, the mean score this time will be (473+160)/4=158.25
which has already reached the mean score 158 and even higher than it
therefore, his statement is wrong
In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale
Answer:
C (46)
Step-by-step explanation:
Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't). OA and OB are both radius of circle O, making them congruent because all radii are congruent. Also PO is congruent to PO by reflexive.
Angle AOC is the same thing is Angle AOP. Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent). Therefore, Angle POB is 46 degrees.
A laptop that costs $250 is on sale with a 20% discount. What is the amount of discount? What’s the explanation to do this
Answer: $50
Step-by-step explanation:
250 x 0.20 = 50
$50 discount
or you pay 80%, so
250 x 0.80 = 200
$200 final cost
$250 original cost - $200 final cost = $50 discount
Answer: 50
Step-by-step explanation:
Discount = 250 x .20 = 50
11. The chess club has 50 members. They want to raise $680 for a trip to a competition. The school will give $130. How much must each member pay?
Answer:
$11
Step-by-step explanation:
Total members = 50 , Raised amount = $680
If school gives $130 then all the 50 members will pay the remaining amount.
Remaining amount to be paid by the 50 members = $680 - $130 = $550
50 members = $550
1 member = $550/50
1 member = $ 11 ( Answer)
which of the following circles lie completely within the fourth quadrant? Check all that apply.
Answer:
B and D
Step-by-step explanation
Answer:
B and D
Step-by-step explanation:
Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?
Answer:
≈201 in²
Step-by-step explanation:
Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²Answer:
201 in²
Step-by-step explanation:
Hope this helps! :)
algebra applications: find the value of x and y
Answer:
x = 10°
y = 35°
Step-by-step explanation:
9x + 20 + 7x = 180 (supplementary angles)
16x = 180 - 20
16x = 160
x = 10°
2y = 7x ( opposite angles)
2y = 70
y = 35°
What is a constant of proportionality in the equation 3y equals 2x?
Answer:
y=2/3x (y equals two-thirds x)
Step-by-step explanation:
3y=2x
(divide by 3 on both sides to get just the y value)
3/3y=2/3x
y=2/3x
Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.
Step-by-step explanation:
For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability
What is the area of the triangle?
8
10
6
units
Answer:
A = 24 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 6 and the height is 8
A = 1/2(6) *8
A = 24 units^2
Find the product:
-2x(-y - 3x + 3)
Answer:
[tex]=2xy+6x^2-6x[/tex]
Step-by-step explanation:
[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What is 181.5% of 18?
Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.
The solution of expression is,
⇒ 32.67
We have to given that;
To find the value of 181.5% of 18.
Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Hence, We can simplify as;
⇒ 181.5% of 18
⇒ 181.5/100 × 18
⇒ 1.815 × 18
⇒ 32.67
Thus, The solution of expression is,
⇒ 32.67
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The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?
Answer:
29.17m/s²Step-by-step explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Acceleration = velocity/time
Given velocity of the space shuttle = 525m/s and time = 18.0seconds
Its average acceleration = 525/18
Its average acceleration (in m/s²) = 29.17m/s²
Wich property is represented by the equation shown below? 6 x 3 = 3 x 6 A) Multiplicative inverse property B) Multiplicative identity property C) Associative property of multiplication D) Commutative property of multiplication
Answer:
D) Communicative Property of Multiplication
Please give brainliest -3-
Can someone help me with this, I will mark you as brainliest!
What is the equation of the line that contains (-5,1) and has a slope of 4
PLEASE HELP
Answer:
y=4x +21
Step-by-step explanation:
37
35
Х
x =
What’s the answer?
Answer:
12
Step-by-step explanation:
use Pythagorean theorem
37^2 = 35^2 + x^2
x= ±[tex]\sqrt[2]{37^2-35^2}[/tex]
x1 = 12
x2= -12 but it is illogical as length cannot be negative
answer: x = 12
Answer: x = 12
Step-by-step explanation:
a^2 + b^2 = c^2
35^2 + b^2 = 37^2
b^2 = 1369 - 1225
b = √144 = 12
Which algebraic expression is a polynomial with a degree of 5?
Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000
Answer:
1,000
Step-by-step explanation:
The more rolls you make, the closer the experimental and theoretical probabilities get closer together
Answer:
1000
Step-by-step explanation:
A new club sent out 195 coupons to boost sales for next years memberships they provided four times as many then to existing members how many coupons that they sent to existing members
Answer:idk
Step-by-step explanation:
sorry
