Answer:
6 mangoes
0.38 or 38p
Step-by-step explanation:
Apparently the value of the mango is £ 0.77, which means that to get the number of mangoes you can buy, you must divide this value to the amount of money you have, that is, £ 5
5 / 0.77 = 6.49
which means that it is enough for 6 mangoes.
To know the change, multiply the value of one by 6 and subtract it with £ 5, it would be the change.
6 * 0.77 = 4.62
5 - 4.62 = 0.38
That is, the change is £ 0.38 or 38p
Answer:
(a) 6 mangoes
(b) £0.38
Step-by-step explanation:
(a) The greengocers sell the mangoes for 77 p.
The greatest number of mangoes you can buy for £5 can be gotten by dividing £5 by the price of each mango (77 p). We will only pick the whole number part because number of mangoes can only be whole number.
First, we convert £5 to pence:
£1 = 100 pence
=> £5 = 5 * 100 = 500 pence
Hence, the greatest number of mangoes that can be bought is:
500 / 77 = 6.49
Since we are only picking the whole number part, the answer is 6 mangoes.
(b) The price of 6 mangoes is:
6 * 77 = 462 pence
Hence, if you take £5 (500 pence) to the store, your change should be:
500 - 462 = 38 pence
38 pence is the same as £0.38
PLEASE HELP ME!!! I ONLY HAVE 2 HOURS!!!
I am completing a color sheet for my math class. I have a set of markers with 2 purples, 1 black, 3 reds, 2 yellows, and 2 blues. What is the probability that I will randomly select a red marker, keep it, and then randomly select a yellow marker?
A. 47/90
B. 3/10
C. 1/15
D. 2/9
First, we have to add them all together to get the total amount of markers.
2 + 1 + 3 + 2 + 2 = 10
Red: 3/10
Yellow: 2/9
3/10 x 2/9 = 6/90
Simplify: 6/90 = 1/15
C. 1/15 would be your answer.
Hope this helps! Have a great day!
If d represents how many days are left in school this year,which inequality states we have at most 95 days?
Answer:
d ≤ 95
Step-by-step explanation:
The inequality that states we have at most 95 days is d≤ 95.
What is an inequality?A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.
The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.
If d represents how many days are left in school this year.
And we have at most 95 days.
Then,
d can not be more than 95.
d ≤ 95
Therefore, the inequality is d ≤ 95.
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the diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of the semi circle BD is an arc of a circle with the centre A. Find the area of the shaded region giving your answer in terms of pie. you must show your working, clearly stating the area of the semi circle.
I got 1 out of 4 Marks for pie/8 which equalled the shaded region over the area of the square but I have no clue for the area of the semi circle
Answer:
Area of shaded region/area of square = [tex]\pi[/tex]/8
[tex]\frac{50\pi cm^2 }{400 cm^2} = \frac{1}{8}[/tex]
Area of the semi-circle: 50[tex]\pi[/tex] cm^2
Step-by-step explanation: The problem asked us to prove that the area of the shaded region within the diagram divided by the area of the square equals 1/8. An image will be provided down below for visual representation.
First, we must figure out the area of the shaded region. We do this by finding the area of the semi-circle inside the arc circle that goes A to C.
Area of a semi-circle (diameter): [tex]A = \frac{\pi * d^2}{8}[/tex]
[tex]A = \frac{\pi *(20)^2}{8}[/tex]
[tex]A = 50\pi cm^2[/tex]
Now to find the area of the shaded region, we must subtract the area of the semi-circle from the area that covers the arc circle AB.
In the diagram, we can see that the arc circle within the square looks like a quarter circle. We need to manipulate the equation to highlight this.
Area of a semi-circle (radius) divided by 4 = [tex]A = \frac{\pi *r^2}{4}[/tex]
[tex]A = \frac{\pi *20^2}{4} \\A = 100\pi\\A = 100\pi - 50\pi \\A = 50\pi cm^2[/tex]
Area of a square = [tex]A = s^2[/tex]
[tex]A = (20)^2[/tex]
A = 400 cm^2
Now we take these two solutions to see if it equal [tex]\frac{\pi }{8}[/tex].
[tex]\frac{50\pi }{400} \\\frac{50*\pi }{50*8} = \frac{\pi }{8}[/tex]
That is how we get to our final answer: [tex]\frac{\pi }{8}[/tex]
Complementary, Supplementary, Vertical, and Adjacent Angles
100 POINTS
Answer:
The first picture is A
The second picture is 21.8
The third picture is 20
The fourth picture is B
Step-by-step explanation:
4x + 8x = 180
12x = 180
x = 15
90 - 68.2 = 21.8
7x + 10 = 150
7x = 140
x = 20
Angle A = 63
180 - 63 = 117
Answer:
The first picture is A
The second picture is 21.8
The third picture is 20
The fourth picture is B
Step-by-step explanation:
hope this helps
Area and Triangles:Question 2
Taylor wants to paint his rectangular deck that is 42 feet long and 28
feet wide. A gallon of paint covers about 350 square feet. How many
gallons of paint will Taylor need to cover the entire deck?
Answer:
4 gallons
Step-by-step explanation:
First find the area of the deck
A = l*w
42 * 28 =1176 ft^2
Divide the area by 350 ft^2 per gallon
1176/350 =3.36
We need to buy full gallons so we round up
4 gallons
Help...i dont know how to solve this
X^2- 64
Answer:
x = ±8
Step-by-step explanation:
X^2- 64
Set this equal to 0
x^2 -64 =0
Add 64 to each side
x^2-64+64 = 64+64
x^2 = 64
Take the square root on each side
x = ±sqrt(64)
x = ±8
Answer:
Step-by-step explanation:
a²-b²=(a+b)(a-b)
x²-64=x²-8²
=(x+8)(x-8)
Calculate the volume of the cylinder.
4cm
10 cm
Use
h = 3. 14.
Answer:
502.655
Step-by-step explanation:
I'm not entirely sure this is right but it's what i got.
chang reads 9 3/4chapters in 4 1/2 hours. what is the unit rate in chapters per hour? write your answer as a fraction or a mixed number in simplest form.
Answer:
2 1/6 chapters per hour
Step-by-step explanation:
Find the unit rate, as follows:
9.75 chapters
----------------------- = 2.166666 ... chapters per hour, or
4.5 hours 2 1/6 chapters per hour
The unit rate in chapters per hour is 13/6.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Chang reads 9 3/4 chapters in 4 1/2 hours.
So, the unit rate of reading is
= 9 3/4 / (4 1/2)
= (39/4) / (9/2)
= 39/4 x 2/9
= 13/2 x 1/3
= 13/6.
Hence, the unit rate is 13/6.
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Maya scored 32 out of 40 for a Math's test and 41 out of 55 for a science's test. For which test did she score a lower percentage.
Answer:
He score lower on the 41 out of 55
Step-by-step explanation:
32/40 = .80 or 80%
41/55 = 0.75 or 75%
Answer:
Lower score in Science
Step-by-step explanation:
32/40 × 100 = 80%
41/55 × 100 = 74 6/12 %
Twenty packs of fruit snacks come in a box.Each pack weighs 6 ounces.Studwnts eat some.Thete are 48 ounces of fruit snacks left in the box.How many ounces of fruit snacks did the students eat?
Answer
The student ate 72ounces of fruit snacks
Explanation
If there are 20packs of fruit snacks in a box and each pack weighs 6 ounces, the total weight of 20packs will be 20×6 = 120ounces
If there are 48 ounces of fruit snacks left in the box after student has eaten some, the amount of ounces of fruit eaten by the student will be:
Total number of ounces of 20packs - weight of left over snacks
= 120-48
= 72ounces
The students ate 72 ounces of fruit snacks.
First, we need to calculate the total weight of the fruit snacks when the box is full. Since there are 20 packs in a box and each pack weighs 6 ounces, the total weight of a full box is:
[tex]\[ 20 \text{ packs} \times 6 \text{ ounces/pack} = 120 \text{ ounces} \][/tex]
Next, we are given that there are 48 ounces of fruit snacks left in the box after the students have eaten some. To find out how many ounces were eaten, we subtract the remaining weight from the total weight of a full box:
[tex]\[ 120 \text{ ounces} - 48 \text{ ounces} = 72 \text{ ounces} \][/tex]
Therefore, the students ate 72 ounces of fruit snacks.
The students ate 72 ounces of fruit snacks.
Find the measure of y.
A.85
B.102
C.122
D.138
Answer:
102
Step-by-step explanation:
When you go to the store, does tax increase or decrease the cost of your items?
yes because you have to pay more it's tricky
Rewrite 47/9 as a mixed number in lowest terms.
Answer:
5 2/9
Step-by-step explanation:
Answer: 5 and 2/9
Step-by-step explanation: Since 9 goes into 47 five times with a remainder of 2, 47/9 is equal to the mixed number 5 and 2/9.
is the number -71.52 rational?
Answer:
YES
Step-by-step explanation:
it is negative and it not a whole number there is a decimal point
what is 32.5 cents as a decimal
Answer:
32.5
Step-by-step explanation:
its a trick question
The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?
Answer:
The ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3
Step-by-step explanation:
The height of a right circular cylinder is 1.5 times the radius of the base.
Let the radius of base be x
So, Height of a right circular cylinder = 1.5x
Total surface area of cylinder =[tex]2 \pi r h + 2 \pi r^2 = 2 \pi r(h+r)=2 \pi \times x(x+1.5x)=2 \pi \times x \times 2.5x[/tex]
Curved surface area of cylinder = [tex]2 \pi rh = 2 \pi \times x \times 1.5 x[/tex]
So, Ratio of the total surface area to the lateral (curved) surface area of the cylinder = [tex]\frac{2 \pi \times x \times 2.5x}{2 \pi \times x \times 1.5 x}=\frac{2.5}{1.5}=\frac{25}{15}=\frac{5}{3}[/tex]
Hence the ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3
I’ll give brainliest !
Answer:
x=10.7
Step-by-step explanation:
Our proportion is
x/4=8/3
We can cross multiply to solve.
This is where you multiply one fraction's numerator with the other fraction's denominator and vice versa.
x*3=4*8
3x=32
Divide both sides by 3.
x=10.6666666667
Round.
x=10.7
Answer:
10 2/3
Step-by-step explanation:
Make each fraction have the same denominator, which is gonna be 12, then you get 32/12 = 3x/12. So you divide 32 by 3x, which leaves you with x=10 2/3.
what is 25 percent of 68
Answer:
17
Step-by-step explanation:
A 10 meter flag pole casts a shadow 5 meters long. How long will the shadow be if the flag pole is 15 meters tall
Answer:
7.5 meters long
Step-by-step explanation:
10/2 = 5
15/2 = 7.5
The shadow is half as long as the pole.
hope this helps :)
Answer:
7.5 meters
Step-by-step explanation:
Actual : shadow
10 : 5
15 : X
10/5 = 15/X
X = 15 × 5/10
X = 7.5
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below. Which statements about the function are true? Select three options. The vertex of the function is at (–4,–15). The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1. The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where x > 1
Step-by-step explanation:
The roots of this function are the values that make f(x) = 0. As the equation is already factored, we can see that the roots are x1 = 1 and x2 = -7
The x-coordinate of the vertix can be calculated as:
x_v = (x1 + x2)/2 = -6/2 = -3
So the first statement: "The vertex of the function is at (–4,–15)" is wrong.
The y_coordinate of the vertex is:
f(x_v) = (x_v - 1)*(x_v + 7) = (-3 -1) * (-3 +7) = (-4) * (4) = -16
So the second statemente: "The vertex of the function is at (–3,–16)" is correct.
for values of x greater than x_v = -3, the graph increases, as the equation represents a parabola with concavity upwards. So the third statement is correct.
As the roots are 1 and -7 and the concavity is upwards, the parabola have positive values for x<-7 and x>1. So the fourth statement is correct.
For values of x< -4, the parabola can have both positive or negative values (it has positive values for x < -7) so the fifth statement is wrong.
Answer:
B. The vertex of the function is at (–3,–16).
C. The graph is increasing on the interval x > –3.
D. The graph is positive only on the intervals where x < –7 and where
x > 1.
What is the solution to the equality below? -2x + 6 > 3x - 4
Answer:
2 > x
Step-by-step explanation:
-2x + 6 > 3x - 4
Add 2x to each side
-2x+2x + 6 > 3x+2x - 4
6 > 5x-4
Add 4 to each side
6+4 > 5x-4+4
10 >5x
Divide each side by 5
10/5 > 5x/5
2 > x
Answer:
x < 2
Step-by-step explanation:
-2x + 6 > 3x - 4
6 + 4 > 3x + 2x
10 > 5x
2 > x
x < 2
I need help solving this and could you give me the answer this time thx 7(4p + 2q + 3r) =?
Answer:
Step-by-step explanation:
7(4p +2q +3r)= 7*4p + 7*2q + 7*3r
= 28p + 14q + 21r
Answer:
28p + 14q + 21r
Step-by-step explanation:
There you go hope that helps
Bryn checked the measures of the stairs to make sure they formed a right triangle. The measures of the steps were 5 in., 13 in., and 12 in. Bryn’s work is shown below: 1. 5 squared + 13 squared = 12 squared. 2. 25 + 169 = 144. 3. 194 not-equals 144. Conclusion: Not a right triangle. Did Bryn come to the correct conclusion? If not explain her error. No. In step 1 she did not apply the Pythagorean theorem correctly. No. In step 2 she did not square each term correctly No. She should have used the outcome from step 3 to conclude that the triangle is a right triangle. Yes, Bryn came to the correct conclusion.
Answer:
a
Step-by-step explanation:
i got it right!
Answer:
A
Step-by-step explanation: i got it right on edg-enuity
X/3 - 2 + 6 what is the answer
Answer:
[tex]\frac{x}{3}[/tex]+4
Step-by-step explanation:
I don't think it can be simplified more than that
Answer:
x= -12
Step-by-step explanation:
x/3 -2+6 =0
x/3 +4 =0
x/3 = -4
x/3 (3) = -4 (3)
x = -12
Simplify -12.5 - (-4.8)
Answer: -17.5
Step-by-step explanation:Use this rule:
1. -a-b=-(a+b)−a−b=−(a+b).
-(12.5+4.8)−(12.5+4.8)
2.Use the algorithm method.
1
1 2 . 5
+ 4 . 8
1 7 . 3
3.After simplification, we have:
-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3
4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.
-17.3−17.3
What is the area of the figure below?
Answer:
Step-by-step
Two Small End squares
Square area = s^2
s = 3
s^2 = 9
But there are 2 of them so the total area = 2 * 9 = 18
Two Middle Triangles.
The height of each triangle = 7 - 3 = 4
The height of each triangle = 4/2 = 2
Each triangle has a height of 2
The length of each triangle = 5 + 5 = 10
Area of one triangle = 1/2 * 2 * 10 = 10
Area of both triangles = 20
Area of Left over rectangle.
Area = L*W
Area = 10 * 3
Area = 30
Total Area
30
20
18
68 is the total area.
Which I think is A. I really can't read the choices well
Answer:
68 In²
Step-by-step explanation:
Because it is the "Correct Answer"
If f(x) = − 5, what is f(8.6)? 3 4 8 9
Answer:
B or 4
Step-by-step explanation:
evaluate 0.3y + y/z when y=10 and z= 5
We need just to put y and z into polynomial, so
[tex]0.3 \times 10 + \frac{10}{5} = 3 + 2 = 5 \\ [/tex]
The distance from the center of a circulartrashcan to the edge of the trashcan is 15 inches.What is the area of the top of the trashcan?
Answer:
706.95in²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
Step one
The trash can has a cylindrical shape
The distance from the center to the edge is the radius r= 15in
Step two
Area of top (circular ) = πr²
A= 3.142*15²
A= 3.142*225
A= 706.95in²
If circle A has a radius of 4.7 cm, what is the diameter?
Answer:
7.4cm
Step-by-step explanation:
diameter =2radius
=2×4.7
=7.4cm
The diameter of circle A with a radius of 4.7 cm is 9.4 cm.
Explanation:To find the diameter of a circle, you can use the formula: diameter = 2 * radius. Given that circle A has a radius of 4.7 cm, the diameter would be 2 * 4.7 = 9.4 cm.
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