Answer:
10 cups
Step-by-step explanation:
6 people : 4 cups
15 people : x cups
15/6 = 2.5
4 x 2.5 = 10 cups
Hope this helps :)
(And sorry before, I was a little mixed up)
Answer:
10
Step-by-step explanation
Total price: The sales tax is 4.25% and the sales tax is $17.55, what is the purchase price? (Round to the nearest cent)
The purchase price is ________
The total price is__________ (Round to the nearest cent)
Answer:
Purchase price = $412.94 (nearest cent)
Total price = $430.49 (nearest cent)
Step-by-step explanation:
Purchase price
If 4.25% = $17.55
⇒ 100% = (17.55 ÷ 4.25) × 100 = 412.9411765...
⇒ Purchase price = $412.94 (nearest cent)
Total price
total price = purchase price + sales tax
= $412.94 + $17.55
= $430.49
So let the original price be x
4.25% of x=17.550.0425x=17.55x=17.55÷0.0425$412.94Total price:-
412.94+17.55$430.49having issues with this question
Answer:
[tex]5q^8y^{16}\sqrt{5qy}[/tex]
Step-by-step explanation:
[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]
The probability that a randomly selected 25-year-old male will survive the year is 0.9984 according to a report on vital
statistics. If three randomly selected 25-year-old males are selected from the general population, explain how to find the
probability that all three will survive the year. Follow the rules for significant figures.
Answer:
0.9952076759
Step-by-step explanation:
Probability that all three survive
= 0.9984 × 0.9984 × 0.9984
= 0.9952076759
sets of linear systems wherein there is one Consistent & Dependent, Consistent & Independent, and one Inconsistent.
Answer:
What is the difference between entering a formula and entering data ??
Solve for x
2x3=x2+6x
please help me. Thanks
Answer:
heya! ^^
[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]
hope helpful :D
a pentagon is shown what is the area, in square inches of the pentagon
=========================================================
Explanation:
Along the top row, label the two triangles A and B.
In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.
To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.
Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.
The rectangle D has an area of base*height = 4*5 = 20 square inches.
-----------------------
We have these areas:
Triangle A = 6 square inchesTriangle B = 6 square inchesTriangle C = 2.5 square inchesRectangle D = 20 square inchesTriangle E = 2.5 square inchesTo wrap things up, add up those areas
A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches
Simplify using the order of operations.
9−4 ·5+6
we know that the multiplication comes first in the family then we start from left to right
4 x 5= 20
9-20 = -11
-11 + 6 = -5
there you go!
[tex]9 - 4 \times 5 + 6[/tex]
[tex]9 - 20 + 6[/tex]
[tex] - 11 + 6[/tex]
[tex] - 5[/tex]
Which of the following are not polynomials?
Answer:
D
I really wish is right!!!
How many ounces are in 4 pounds?
4 ounces
56 ounces
64 ounces
72 ounces
Answer:
64
Step-by-step explanation:
16 ounces per pound
16 x 4
what is the circumference of a circle with a diameter of 7 in
Answer:
22 inches
Step-by-step explanation:
Given:
Diameter - 7 inches Radius - 3.5 inchesCircumference of circle = πd , where d is the diameter of a circle.
= 22/7 * 7 inches
Circumference = 22 inches
Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water. Martinez family decides to fill their pool using their garden hose to save money even though they know it will take a really long time the swimming pool is 10 m long and 5 m wide and Martinez family wants to the water to be 2 m deep water from the garden holes flows at a rate of 2500 l or 2.5 m³ per hour how long will it take to fill the pool
Answer:
the answer ia true
Step-by-step explanation:
hope this helps
How do you write 0.92 as a percentage?
Find the axis of symmetry and the vertex of the graph of y = 3x2 −18x + 17.
x = 3; (3, −10)
x = −3; (−3, −17)
x = 6; (3, −18)
x = −6; (3, −10)
Answer:
Vertex of y = − 3 x 2 + 18 x − 13 Ans: Vertex (3, 14)
Step-by-step explanation:
Explanation: x-coordinate of vertex: x = ( − b 2 a ) = − 18 − 6 = 3 y-coordinate of vertex: y = f(3) = -27 + 54 - 13 = 14 x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex: x = 3
Find the surface area of a square pyramid with side length 2 km and slant height 2 km
side length 2 km and slant height 2 km.
to find:the surface area of the pyramid.
solution:area of 4 triangle= 1/2 × 2 × 2 × 4
= 8km
area of rectangle= 2×2
= 4km
area= 4+8
= 12km
so, the surface area of the pyramid is 12km.
HELPPPPPP PLEASEEE PLEASEEEEEEEEEEEEEEEEEE
Answer:
31.63495408
Step-by-step explanation:
Find area of trinagles and semicurucles and then add up
Answer:
31.625 ft²Step-by-step explanation:
It is assumed we need to find the area of shaded figure.The figure comprises of two semicircles and a triangle.
The two semicircles add to one full circle with the diameter of 5 ft.
Area of circle
A = πr² = 3.14*(5/2)² = 19.625 ft²Area of triangle
A = 1/2bh = 1/2(6)(4) = 12 ft²Total area
19.625 + 12 = 31.625 ft²Which expressions are equivalent. Circle your answer.
a. 10x - 6x
b. 7x + 3x
C. 12x + 2x - 10x
d. X - X + 2x
Answer: a) 10x-6x and c) 12x+2x-10x
Step-by-step explanation:
Lets start by simplifying all the expressions
a) 10x-6x=4x
b)7x+3x=10x
c)12x+2x-10x=14x-10x=4x
d)x-x+2x=2x
As you can see a and c both simplify to 4x meaning that is our answer.
Options A and C
Solution:In order to simplify these expressions, we should combine like terms:10x-6x=4x7x+3x=10x12x+2x-10x=14x-10x=4x (so expressions A & C are equivalent)x-x+2x=0x+2x=2xHope it helps.
Do comment if you have any query.
The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as which of the following?
cosine of 7 times pi over 10
cosine of 3 times pi over 10
sine of 7 times pi over 10
sine of 3 times pi over 10
(The clear version of the question is in the picture below)
Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
__
To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
__
Additional comment
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
2) Which situation ONLY describes a purchase made with a credit card?
A) Natalie purchased a new computer with her card. The money came straight out of her checking account
B) Jackie loves using her card to make purchases because it is convenient to use, and she doesn't have to carry cash
David paid for dinner with his card. Each time he uses this card his checking account decreases by the purchase amount
D) Maggie took her mother to the movies and paid for it with her card. This charge appeared on a bill she received two weeks later,
Answer:
D is the correct answer. This charged appeared on a bill
A function of x containing four ordered pairs of
the form (x, y) is shown below.
{(2,0),(4,0), (6,0), (8,0)}
What is the domain of the function?
Answer:
{2, 4, 6, 8}
Step-by-step explanation:
The domain refers to all the possible x values of a function.
Our ordered pairs :
(2,0)(4, 0)(6, 0)(8, 0)As they are in the form (x, y), the domain is :
⇒ {2, 4, 6, 8}
URGENT I HAVE ALMOST 0 TIME LEFT I NEED LAST MINUTE HELP
A parabola has zeros of 7 and 1 and passes through the point (3,4). Determine the equation of the parabola.
Answer:
The zeros are the points where the parabola intercepts the x-axis.
[tex]\sf x = 7 \implies x - 7 = 0[/tex]
[tex]\sf x = 1 \implies x - 1 = 0[/tex]
[tex]\sf \implies y = a(x - 7)(x - 1)[/tex] where a is some constant
If the parabola passes through point (3, 4) then:
[tex]\sf \implies a(3 - 7)(3 - 1) = 4[/tex]
[tex]\sf \implies a(-4)(2) = 4[/tex]
[tex]\sf \implies -8a = 4[/tex]
[tex]\sf \implies a = -\dfrac12[/tex]
So the equation of the parabola is:
[tex]\sf y = -\dfrac12(x - 7)(x - 1)[/tex]
Or in standard form:
[tex]\sf y = -\dfrac12x^2+4x-\dfrac72[/tex]
Spot the quadratic equation:-
(x-1)(x-7)x(x-7)-1(x-7)x²-7x-x+7x²-8x+7Find a through (3,4)
a(x²-8x+7)=4a(9-24+7)=4a(-8)=4a=-1/2Equation:-
y=-1/2(x-7)(x-1)Help me please :(( ......
Answer:
1. Last years middle school and highschool softball teams.
2. I can't see the last option
3. Every girl at the local middle school.
4. A group of students at a college.
5. Survey the students selected blindly put of a box containing every students names.
Step-by-step explanation:
I hope these are correct. comment the last option for #2.
The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak
Answer:
O It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4Answer:
It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
The equation is a linear equation in the form y = mx + b
x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)Given equation: c = 0.20t + 3.50
Therefore,
t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.Therefore, the meaning of the slope is:
It costs $0.20 per minute to rent the kayak
Type your answer in the box. You may use numbers, a decimal point (.), and/or a negative sign (-) in
your answer.
In one design being considered for the container shaped like a cylinder, the container will have a height
of 12 inches. What will be the radius of the container, to the nearest tenth of an inch?
the width of a rectangle is a third as long as the length. If the primeter is 24 inches, what is the area of the rectangle?
Answer:
108 inches
Step-by-step explaination:
Looking at the picture I drew, we can assume that 24 = 4x
and so x=6 and 3x=18.
6 times 18 is 108.
help pls it’s due soon :/
Chord AB subtends two arcs with measures in the ratio of 1:5. Line PQ is tangent
to the circle at point B. Find the measure of the angle between the tangent and secant AB.
Answer:
acute: 30°obtuse: 150°Step-by-step explanation:
The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.
Then the two angles at the tangent and secant are ...
60°/2 = 30° . . . . . . . the one marked in the attache drawing
300°/2 = 150°
The diameter of a cylindrical construction pipe is 5 ft. If the pipe is 25 ft long, what is its volume?
Answer:
490.87 ft^3.
Step-by-step explanation:
Radius = 1/2 * 5 = 2.5 ft.
Volume = π r^2 L
= π*2.5^2*25
= 490.87 ft^3
which expression is equivalent to
Answer:
Option D
Step-by-step explanation:
[tex]6\dfrac{3}{5}*\dfrac{5}{8}=\dfrac{5}{8}*6\dfrac{3}{5}[/tex]
Poperty : Commutative property of multiplication.
When two numberes are multiplied, changing the order of numbers will not change the result.
Compound Shapes
Find the area of each figure, round your answer to one decimal place if necessary
12 ya
30
1)
3)
2)
3
12 yd
18
12 ya
3
20 yd
24
Area
Area
Area
4)
5)
6)
17 cm
4 cm
7.5 m
8 orn
12 cm
10 m
5 m
Area:
Area:
Area:
9)
7)
8)
35 m
3.5 m
20 in
TO in
18 in
21 m
21 in
18 in
20 in
3.5 m
21 m
Area:
Area:
Area:
Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:
1. 27
2. 537.9
3. 384
4. 168.5
5. 96.3
6. 73.1
7. 357.1
8. 1,029
9. 744
What is the Area of a Circle?Area of a circle = πr², where r is its radius.
What is the Area of a Rectangle?Area of a rectangle = length × width
What is the Area of a Triangle?Where b is the height and b is the base length, area of triangle = 1/2bh.
What is the Area of a Square?Area = s², where s is the side length.
1. Area of the figure = area of square + area of rectangle = s² + length × width
Area of the figure = 3² + 6 × 3 = 27 ft²
2. Area of the figure = area of circle + area of rectangle = πr² + length × width
Area of the figure = π(7²) + 24 × 16 = 537.9 ft²
3. Area of the figure = area of smaller rectangle + area of bigger rectangle
Area = 12 × 12 + 20 × 12 = 384 yd²
4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²
5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh
Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²
6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²
7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²
8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh
Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²
9. Area of the figure = area of square + area of rectangle = s² + length × width
Area of the figure = 18² + 21 × 20 = 744 in.²
Learn more about the area of rectangle, triangle and circle on:
https://brainly.com/question/14487364
Can you solve for x please? this one has me by the balls.
Answer:
42.5
Step-by-step explanation:
(180-95)÷2=42.5
=
15. Given a rectangle ABCD with AD 12. The diagonals AC and BD intersect at point O such that
mZDOC = 30°. Find the area of the rectangle.
Answer:
To find the area, we need to find the side length AB (and DC).
The easiest way to approach this is to draw a sketch with all the given information (see attached).
As point O is the center point of the rectangle, we can draw a horizontal line from point O to the center point of BC (point M on the diagram) and create a right triangle. We can then use the Sine rule to find the shortest leg of the triangle (marked as x on the diagram). This will be half of the side length AB, and so to find the side length, simply multiply it by 2.
To find the missing angles of the right triangle:
m∠COM = (180° - 30°) ÷ 2 = 75°
m∠OCM = 180° - 90° - m∠COM = 90° - 75° = 15°
Sine rule
[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \dfrac{x}{\sin(15)}=\dfrac{6}{\sin(75)}[/tex]
[tex]\implies x=\sin(15)\cdot \dfrac{6}{\sin(75)}[/tex]
[tex]\implies x=12-6\sqrt{3}[/tex]
As AB = [tex]2x[/tex]
[tex]\begin{aligned} \implies AB & =2x\\ & =2(12-6\sqrt{3})\\ & =24-12\sqrt{3}\end{aligned}[/tex]
Now we have both side lengths of the rectangle, we can easily calculate the area.
Area of a rectangle = width × length
= (24 - 12√3) × 12
= 288 - 144√3
= 38.5846837...
= 38.585 units² (nearest thousandth)
