Answer:
To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25
We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
Sonji has 63 nickels.
Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.
Step-by-step explanation:
Answer:
she has 63 nickels
Step-by-step explanation:
21 dimes = 2.10$
5.25 - 2.10 = 3.15
3.15 ÷ 0.05 = 63
63 = 63 nickles
Hope this helped :3
You buy a basket of 24 strawberries. You eat them
as you walk to the beach. It takes the same amount of time to walk
each block. When you are halfway there, half of the berries are gone.
After walking 3 more blocks, you still have 5 blocks to go. You reach
the beach 28 minutes after you began. One-sixth of your strawberries
are left.
a. Is there enough information to find the time it takes to walk each
block? Explain.
b. Is there enough information to find how many strawberries you
ate while walking the last block? Explain.
Answer:
yes
Step-by-step explanation:
there is enough information
21 radical sign p^-4/p^3
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
A square pyramid has a base of total area of 144 m square root 2 and a volume of 384m cubic what is the slant height of the pyramid?
Answer:
Slant height of the pyramid = 11.66 m
Step-by-step explanation:
A squad pyramid has a volume of
V = ⅓ × (area of base) × (vertical height)
Area of the pyramid's square base = 144 m²
Volume = 384 m³
384 = ⅓ × 144 × (vertical height)
Vertical height = (3×384)/(144) = 8 m
But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.
The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.
The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.
Area of the square base of the pyramid = 144 m²
Area of a square = (side length)²
Side length = √(Area of the square) = √144 = 12 m
Using Pythagoras theorem,
(Length of the diagonal)² = 12² + 12² = 288
Length of the diagonal = (12√2) m
Half of the length of the diagonal of the square base = 6√2 m
Using Pythagoras theorem further
(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²
(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136
Slant height of the pyramid = √136 = 11.66 m
Hope this Helps!!!
Value of x explain how you found the value of x
Answer:
A) 25
Step-by-step explanation:
Set the ratios. Place the similar sides equal to each other.
Sides:
AB/CB = XY/ZY
Plug in corresponding numbers to the corresponding sides:
50/40 = x/20
Simplify. Divide 2 from both the numerator and denominator of the first fraction to get common denominators:
(50/40)/(2/2) = 25/20
25/20 = x/20
x = 25
A) 25 is your answer.
~
Answer: A 25
Step-by-step explanation:
A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.
Determine the probability that the card is an E
Answer: 1/10 or 10%
Step-by-step explanation:
The required probability that the card is an E will be 0.1%.
What is probability?A Probability can be defined as the ratio of favorable outcomes to the total number of events.
P(E) = Number of favorable outcomes / total number of outcomes
A set of cards has sample = U E A R Q H C H L A
Total number of sample s(n) = 10
We need to find the probability that the card is an E
For probability for E,
p(E)= 1 / 10 = 0. 1%
Thus, the required probability that the card is an E will be 0.1%.
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you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?
Answer:
Your profit would be 32.10$
Step-by-step explanation:
You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.
A square unit that is 1 unit wide and 1 unit long is a?
Answer:
A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
Help me pleaseee someone
Answer:
55°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (35 + 90) = angle B
180 - (125) = angle B
55 = angle B
So, angle B has a measurement of 55°
The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions.
Answer and Step-by-step explanation:
The length is 10 and the width is 8
Help!!! multiple choice!
I need help in fractions
Answer:
I’ll help you just show me the question
Step-by-step explanation:
HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ
Answer:
B. 43.3
Step-by-step explanation:
Find the area of one of the triangles:
[tex]\frac{1}{2} *b*h[/tex]
[tex]\frac{1}{2} *5*4.33=10.825[/tex]
10.825*4=43.3
Answer:
B.) 43.3 square centimetres
Step-by-step explanation:
The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:
[tex]A=\frac{1}{2} bh[/tex]
Insert the values:
[tex]A=\frac{1}{2} *4.33*5[/tex]
Simplify:
[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]
Multiply the area of one triangle by 4:
[tex]10.825*4=43.3[/tex]
The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]
:Done
Find the area of the shape shown below
Find the volume of the figure. Use 3.14 for pi.
Answer:
10082.36cm²
Step-by-step explanation:
The formula for volume of a cone: V = [(3.14) r²](h/3)
Steps:
1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm
2. Find the value of the height: 31cm
3. Plugin: [(3.14) 13²] (31/3)
Solve for the volume of the cone:
a) 13² = 169
b) 169(pi) = 530.66
c) 530.66 (31/3) = 530.66 (10.3333)
Volume of cone: 5483.31
The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]
Steps:
1. Find the value of the radius: 13cm
2. Solve for the volume of the hemisphere
1. 13x13x13 = 2197
2. 2197 (3.14) = 6898.58
3. (4/3) 6896.58 = 9198.1067
4. (1/2) 9198.1067 = 4599.05
Add the two volumes together:
4599.05+5483.31 = 10082.36cm²
This took forever since I used the google calculator, but it got done after forever! Hope this helps!
The Volume of the figure is 10,082.53 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is a three-dimensional quantity used to calculate a solid shape's capacity.
We have a cone surmounted by Hemisphere.
So, Volume of Figure
= Volume of Cone + Volume of Hemisphere
= 1/3 πr²h + 2/3 πr³
= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13
= 5,483.48 + 4,599.05
= 10,082.53 cm³
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help please! ill mark brainliest
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
Which of the following statements is true for inverse functions ƒ(x) and g(x)?
Question 1 options:
A)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
B)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0
C)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1
D)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)
Answer:
A
Step-by-step explanation:
Given: functions f(x) and g(x)
To choose: the correct option
Solution:
A function is a relation in which each element of the domain has a unique image in the co-domain.
Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.
Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.
Answer:
A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
Step-by-step explanation:
your garden has a perimeter of 36 feet. what is the length of missing side.
Answer:
I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.
Hope this helped!
Can I get brainliest?
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Area of a sectorFrom the question, we are to determine the area of the shaded portion.
The shaded portion in the circle is the major sector.
The area of a sector is given by the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector
and r is the radius of the circle.
From the given information,
r = 6 mm
and [tex]\theta[/tex] is the angle subtended by the major sector
Therefore
[tex]\theta = 360^\circ - 70^\circ[/tex]
[tex]\theta = 290^\circ[/tex]
Putting the parameters into the formula, we get
[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]
Simplifying
[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]
Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
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What is the way to best choose the answers
help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste
Answer:
7 times
Step-by-step explanation:
So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)
So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings
Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7
hope i helped :) im not sure what you mean by model :(
Is Y=5x+2 in slope intercept form?
Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.
Step-by-step explanation:
-The equation of a slope-intercept form:
[tex]y = mx + b[/tex] (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).
what is 4x^2 + 12x - 6 = 0 rewritten in x^2 + b/a = -c/a format?
Answer:
Step-by-step explanation:
devide both sides by 4 it will be:
x^2 +3x -3/2 = 0
HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!
Answer:
First, you work out the 3 and Tail from the table: T3: 62
Then you add up all values from the table:
S = 43 + 49 + 54 + 65 + 71 +62 = 344
Then the probability of next toss and spin is 3 and Tail is:
P = T3/S = 62/344 = 0.18
determine whether the function represented by the equation is quadratic
Answer:
not quadratic because there is not a quadrat in it.
Step-by-step explanation:
The graph of a quadratic funtion is a parabola.
The general form of quadratic function is this:
f(x) = ax² + bx + c
Where a, b, and c are numbers.
Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.
In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?
Answer:
£40
Step-by-step explanation:
£30 represents 3 parts of the ratio that Fiona got.
Divide £30 by 3 to find the value of one part of the ratio
£30 ÷ 3 = £10 ← value of 1 part of the ratio
They won £30 + £10 = £40
winnie and kevin like to create their own triathlon courses to challenge each other. last weekend, winnie created a course that included a swim of 5/4 kilometers , a bike ride of 95/4 kilometers and a run of 21/4 kilometers. how long was the course winnie created?
Answer:
121/4
Step-by-step explanation:
no need
Length of the track = 121/4 kilometers
What is length?Length is used to measure the distance between two points. Length is the longest dimension of a figure and it shows how long the given object or figure is. It is expressed in linear units like meters, centimeters, inches, and so on.
Given,
swimming course length = 5/4 kilometers
Bike track length = 95/4 kilometers
Running track length = 21/4 kilometers
Total length of the course = 5/4 + 95/4 + 21/4
= (5 + 95 + 21)/4
= (100 + 21)/4
= 121/4 kilometers
Hence, 121/4 kilometers is the length of the course.
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-3(x + 4) = 6(-x - 1)
Answer: x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-3(x+4)=6(-x-1)
1. Distribute
-3x+(-12)=-6x-6
-3x-12=-6x-6
3x-12=-6
3x=6
x=2
describe the relationship between 45 stundents and 15 stundents
Today, Isaac needs to walk his dog, water the garden, and feed his fish. DDD is the number of minutes it takes to walk his dog, GGG is the number of minutes it takes to water the garden, and FFF is the number of minutes it takes to feed his fish. The expression G+(D+F)G+(D+F)G, plus, (, D, plus, F, )describes the total number of minutes it takes Isaac to do all three tasks. We can also use the expression (G+D)+F(G+D)+F(, G, plus, D, ), plus, F to represent the same quantity. Match each amount in the situation with the expression that represents it. For reference: The dog is an animal, and he needs to go outside to walk. The garden is a bunch of plants (not an animal), and it is outside. The fish is an animal, and she lives in a water tank inside.
Answer:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)Step-by-step explanation:
We are told that:
D = number of minutes it takes to walk his dog
G = number of minutes it takes to water the garden; and
F = number of minutes it takes to feed his fish
We are required to match the given situations to its respective expressions:
Situation
The total Minutes of the Inside tasks.
The total Minutes of the Outside tasks.
The total Minutes of the tasks involving animals.
The total Minutes of the tasks not involving animals.
Expression
D+F
G+D
G
F
Note
G and D are outside tasks while F is an inside task.D and F involves animals while G does not.Therefore, the match of the situation and respective expressions are:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?
A. 8°
B. 9°
C. 16°
D. 18°
Answer:
C
Step-by-step explanation:
Answer:
A. 8
Step-by-step explanation:
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