Answer:
The fourth one: Gavin has one and thirteen fourteenths buckets of water. Daven has one and three fourteenths buckets of water. Together they have three and two fourteenths buckets of water.
Step-by-step explanation:
Gavin = 1 13/14
Daven = 1 3/14
1 13/14 + 1 3/14 = 2 16/14
2 16/14 = 3 2/14 = three and two fourteenths
Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
Answer:
g=number of girls in the class b=number of boy in the class
g+b=28
g=11+b
A loaf of bread that is baked today costs $7. All of the bread baked yesterday is 40% off.
Tobin has $5. He wants to know if $5 is enough to purchase a loaf of yesterday's bread.
How can Tobin find the price of a loaf of
yesterday's bread? Complete the statement
The price of ?
equals
the price of ?
minus
the discount
The price of yesterday's bread equals the price of today's bread minus the discount.
The price of yesterday's bread is equal to the price of today's bread less the dollar equivalent of the discount.
dollar equivalent of the discount = 40% X $7
= 0.4 X $7 = $2.80
Price of yesterday's bread = $7 - $2.80 = $4.20
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Fiona draw a circle with a diameter of 14 meters. What is the area of Fiona circle?
Answer:
153.938 meters
Step-by-step explanation:
The area of a circle is Pi * (Radius)^2. The radius is the diameter/2.
14/2=7
Pi * (7)^2
153.938 m
Answer:
154 cm^2Step-by-step explanation:
[tex]d =14\\Area = \pi \times r^2\\r = d/2\\r = 14/2\\r= 7\\A = 22/7 \times 7^2\\\frac{22}{7} \times 49\\Simplify\\\frac{22}{1} \times 7\\Area =154[/tex]
[tex]A =\frac{1}{4} \pi \times d^2\\A = \frac{1}{4} \times \frac{22}{7} \times14^2\\A = 1/4\times22/7\times196\\A = 154cm^2[/tex]
What is the value of x
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Since angle RTS is a right angle, we have three similar triangles.
Thus, [tex]\frac{x}{25} = \frac{16}{x}[/tex]
Cross Products, [tex]x^2=400[/tex]
Take the square root: [tex]x=20[/tex]
Answer:
x=20
Step-by-step explanation:
RTS is a right triangle so you cross multiply
The volume of an object is equal to the ratio of its mass to density, V = StartFraction m Over d EndFraction. The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.
What is the radius of the grape? Round to the nearest tenth of a centimeter.
1.0 cm
1.5 cm
1.9 cm
2.1 cm
Answer:
R=1.0 cmStep-by-step explanation:
V=m/d
V=8.4g/(2g/cm³)=4.2cm³
V=4 π R³/3 ; π≅3.14
R³ =3V/(4 π)=3*4.2cm³/(4*3.14)=12.6cm³/12.56 ≅ 1.0 cm³
=>R=∛(1.0 cm³) =1.0 cm
The radius of the spherical grape is 1.0 cm.
What is density?Density refers to the measurement of the amount of mass of a substance per unit of volume.
This measurement of a pure substance has the same value as its mass concentration. Densities vary with different materials or substances.
i.e., V=m/d
Given that, the mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.
V = 8.4g/(2g/cm³) = 4.2cm³
V = 4 π R³/3
R³ =3V/(4 π) = 3*4.2cm³/(4*3.14)=12.6cm³/12.56 ≅ 1.0 cm³
R =1.0 cm
Hence the radius of the spherical grape is 1.0 cm.
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Plz help asap this table represent a quadratic function with a vertex a (1,2) what is the average rate of change for the interval from x=5 to x=6
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
[tex] \frac{f(6) - f(5)}{6-5} [/tex]
[tex] \frac{27- 18}{6-5} [/tex]
[tex] \frac{9}{1} [/tex]
Rate of change = 9
Write the unit rate for the situation.
read 80 pages in 2 hours
20 pages/h
40 pages/h
8 pages/h
160 pages/h
Answer:
40 pages / hour
Step-by-step explanation:
Take the number of pages and divide by the number of hours
80 pages/ 2 hours
40 pages / hour
SOLVE
Which of the following ordered pairs are equal? Write with reason
(a) (2, 3) and (4,2)
Answer: (2, 3) and (4,2) are not equal.
Step-by-step explanation:
An ordered pair is something like (x, y)
and two pairs (x1, y1) and (x2, y2) are only equal if x1 = x2 and y1 = y2
in this case, we have (2, 3) and (4, 2)
you can see that in the pairs the value of x is different, and the value of y is also different. Then we have that the pairs can not be equal.
Work out the size of angle x
Answer:
x = 117 degrees
Step-by-step explanation:
A triangle has 180 degrees in total.
A straight line is also 180 degrees in total.
180 - 101 = 79
Angles inside the triangle
79 + 38 = 117
180 - 117 = 63
63 degrees is the missing angle
x = 180 - 63
x = 117
Answer:
x = 117°
Step-by-step explanation:
First, find the angle the supplements angle 101°.
Using the supplementary angle (angles that add up to 180°).
180° - 101° = 79°
We now have two interior angles inside the triangle, 38° and 79°.
A triangle's total angle measures 180° in total.
So,
? + 38° + 79° = 180°
? + 117° = 180
? = 180° - 117°
? = 63°
Now like the first step we did, use the supplementary angle theorem to find x.
x + 63° = 180°
x = 180° - 63°
x = 117°
A solid shape is made from centimetre cubes.
Here are the plan, side elevation and
Centimetre cubes are added to
front elevation of the shape.
make this cuboid.
Plan Side elevation Front elevation
40
4 cm
3 cm
How many cubes are added?
Write your final answer as,... cubes are added.
Answer:
30 cubes are added
Step-by-step explanation:
The image of the solid shape is attached.
From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.
30 cubes are added
The number of cubes that are added is 30.
What is Cube?
A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.
From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid
= 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added
= 48 cubes - 18 cubes
= 30 cubes.
30 cubes are added.
Hence, The number of cubes that are added is 30.
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Pick all that apply the option answer in two minutes
Answer: PQT and TUV
Step-by-step explanation:
Fifteen women can weed a piece of land in
12 days. How many more women will be
required to clear the same land in10 days
Answer:
Brainliest please
Step-by-step explanation:
15 women= 12days
find 10 days,
12÷10×15= 18women in ten days
how many more women, subtract 18 women and 15 women
=3 is the answer
what number decreased by 6 equals 3 times the number
Answer:
-3
Step-by-step explanation:
x-6=3x
2x=-6
x=-3
The required number is -3 decreased by 6 equals 3 times.
A number to be determine when decreased by 6 equals 3 times the number.
What is arithmetic?it explores the numbers of operations according to the statements.
Let the number be x,
Now,
x-6=3x
x= -3
Thus, the required number is -3 decreased by 6 equals 3 times.
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What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer:
x = 12y = 4√3Step-by-step explanation:
To find x we use cosine
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
x = 12To find y we use sine
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
y = 4√3Hope this helps you
NEED HELP ASAP!!!! I will reward you as the most brainliest!
Step-by-step explanation:
v = 1/3πr²h
1/3×314/100×4×4×7
11,722.666round off
11722.67
formula =v= 3.14×radius×radius ×height ×3
Step-by-step explanation:
pie×radius×squared ×7×3
=117.29
when we round it to the nearest hundredth
its=117.29m squared
(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?
Answer:
False.
Step-by-step explanation:
You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.
on which number line do the points represent -7 1/2 and +1 I NEED HELP ASAP PLEASE AND IM GETTING HACKED PLEASE HURRY
Answer: Hope it helps <3 :)
Williams says that 15 years from now, his age will be 3 times his age 5 years ago, if x represent Williams present age, complete the following sentence.
Answer:
This is duplicate question
Step-by-step explanation:
https://brainly.com/question/8713027
link is here for answer
The equation is x+15=3(x-5)
He is 15.
Part B
Compare the quantities of apples and strawberries given in the fruit salad recipe. Write
your answer in a sentence.
Answer:
I have a️️le i have a stra️erry
UMPH fruit sala️
Answer:
For every four parts of strawberry, there is one part apple.
At a fruit market, John bought some oranges for a total of $20. Jenny visited another stall,
and bought 10 more oranges for the same price. Given that the difference in price per orange
was 10 cents, how many oranges did John purchase?
Answer:
40 oranges.
Step-by-step explanation:
We have the following information:
John bought "x" oranges for $ 20 plus each orange for John costs 20 / x.
After Jenny bought x + 10 oranges for mimes $ 20 and also each orange for Jenny costs 20 / (x + 10) . They tell us that the difference in price was 10 cents, that is to say 0.10 dollars, we would have the following:
20 / x - 20 / (x + 10) = 0.10
solving:
20x + 200 - 20 * x = 0.10 (x² + 10 * x)
x² + 10 * x-2000 = 0
we factor
(x + 50) (x-40) = 0
x + 50 = 0 => x = -50, this answer cannot be
x - 40 = 0 => x = 40, it is a viable answer so John bought a total of 40 oranges.
sorry i meant to put this picture.. for math
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
In your English class, you are given a list of 10 books. You are to choose 3 books to read over the summer. How many different groups of 3 books are available from the list of 10?
Answer:
120 different groups of 3
Step-by-step explanation:
You will use combination for this
[tex]\frac{n!}{(r!(n-r)!)}[/tex]
n=total amount (10)
r=sample size (3)
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x
Answer:
The correct option is;
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
The rule for the reflection across the x-axis is as follows;
Reflection about the x-axis
Pre-image point before reflection = (x, y)
Point of image after reflection = ((x, -y)
Therefore, the x coordinate remains the same while the y coordinate changes sign
For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have
Reflection about the x-axis
Pre-image point before reflection = (x, f(x))
Point of image after reflection = (x, g(x))
Hence g(x) = -f(x) = -2/5(10)x.
Answer:
A
Step-by-step explanation:
Find the area and perimeterof a square with a side length of [tex]2\sqrt{3} + 6\sqrt{7}[/tex] inches
Answer:
Step-by-step explanation:
Perimeter
P = 4s
P = 4*(2*sqrt(3) + 6*sqrt(7) )
P = 8*sqrt(3) + 24*sqrt(7)
Area
A = s^2
A = (2sqrt(3) + 6sqrt(7) )(2 sqrt(3) + 6sqrt(7) )
F:= (4*sqrt(3)^2 = 16 * 3 = 48
O:= 2sqrt(3) * 6sqrt(7) ) = 12sqrt(21)
I := 6*sqrt(7)*2 sqrt(3) = 12 sqrt(21)
L:=6*sqrt(7) ^2 = 36 * 7 = 252
The answer is 300 + 24*sqrt(21)
Answer:
Step-by-step explanation:
area=side ²=(2√3+6√7)²=4×3+36×7+2×2√3×6√7=12+252+24√21=264+24√21
PLS HELP!! BRAINLIEST ANSWER! Moises read a book that is more than 200 pages long. It took him 10 days, and he read the same number of pages each day.
The inequality 10 p greater-than 200 represents the possible values of p, the number of pages he read each day. Which is a possible value of p?
.
10
15
20
25
Answer:
20
Step-by-step explanation:
PLZ ASAP ITS FOR A TIMED TEST THAT DETERMINES EVERYTHING I BEGGGG..\There are seven roads that lead to the top of a hill. a How many different ways are there to reach the top and then go back down? Answer:
Answer:
42
Step-by-step explanation:
For this it's very simple
This is a permutations question so -->
7 roads that go to the top and you want to find how many ways you can go back
7x7 since the ways you go down it is unrestricted BUT THIS IS NOt YOUR FINAL ANSWER
Since you cannot repeat the roads after one whole run, your equation is actually 7x6 giving you 42
Hope this helps
Answer:
The correct answer is 49
If 180°<α<270°, cos α= −8/17, 270°<β<360°, and sin β= −4/5, what is sin(α+β)?
Answer:
[tex]\sin(\alpha+\beta) = -0.153[/tex]
Step-by-step explanation:
Let determine the angles behind each trigonometric expression:
[tex]\cos \alpha = -\frac{8}{17}[/tex]
[tex]\alpha = \cos^{-1}\left(-\frac{8}{17} \right)[/tex]
Given that [tex]180^{\circ}< \alpha < 270^{\circ}[/tex], the value of [tex]\alpha[/tex] is:
[tex]\alpha \approx 241.928^{\circ}[/tex]
[tex]\sin \beta = -\frac{4}{5}[/tex]
[tex]\beta = \sin^{-1}\left(-\frac{4}{5} \right)[/tex]
Given that [tex]270^{\circ}< \beta <360^{\circ}[/tex], the value of [tex]\beta[/tex] is:
[tex]\beta \approx 306.870^{\circ}[/tex]
The sine function of the sum of angles can be determined by the following identity:
[tex]\sin(\alpha + \beta)=\sin \alpha \cdot \cos \beta + \sin \beta \cdot \cos \alpha[/tex]
If [tex]\alpha \approx 241.928^{\circ}[/tex] and [tex]\beta \approx 306.870^{\circ}[/tex], then:
[tex]\sin (241.928^{\circ}+306.870^{\circ}) = (\sin 241.928^{\circ}) \cdot (\cos 306.870^{\circ}) + (\sin 306.870^{\circ})\cdot (\cos 241.928^{\circ})[/tex][tex]\sin(241.928^{\circ}+306.870^{\circ}) = -0.153[/tex]
evaluate this please
Answer:
0
Step-by-step explanation:
| |-11| - |4 - 15| |
= |11 - |-11| |
= |11 - 11|
= |0| = 0
Answer:
0
Step-by-step explanation:
First find the absolute value inside the large absolute value
| -11| = 11
|4-15| = |-11| = 11
| 11 - 11| = |0| = 0
1. Which of the following measurements could be the three side lengths of a right triangle? a. 4 cm, 5 cm, 9 cm b. 12 cm, 20 cm, 25 cm c. 18 cm, 24 cm, 30 cm d. 2 cm, 3 cm, 5 cm
Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
Using the Pythagorean Theorem, it is found that possible side lengths of a right triangle are given by:
c. 18 cm, 24 cm, 30 cm
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
The length of the hypotenuse is always greater than the length of the legs. The Pythagorean Theorem has to hold true, which holds only for option C, as:
18² + 24² = 30²
900 = 900
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How do you do this? please help me
Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where Area = 12 cm², Base = 4 cm
12 = [tex]\frac{1}{2}(4)(Height)[/tex]
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, AD is parallel and equal to BC[tex](f)[/tex]
So,
f = 10 cm
Now, Finding g
Area of ABCD = [tex]Base * Height[/tex]
Where Area = 48 cm², Base = 10 cm
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm
