There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?
Answer:
I would love to help but i dont know pounds so i will try to help in dollars then convert into pounds
lol :) just wait
Step-by-step explanation:
What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
what is the mean of this set {6,7,9,9,9}
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Steps:
Mean x: 8
Median x: 9
Mode: 9
Range: 3
Minimum: 6
Maximum: 9
Count: 5
Sum: 40
1: 6+7+9+9+9
2: =40
3: 40 divided by 5
4: = 8
Description:
The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.
5 is the total numbers there
Please mark brainliest
Hope this helps.
how many squares would have to be shaded so that 1/6 of the shape is shaded?
Answer:
3 squares
Step-by-step explanation:
The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.
The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.
Answer:
area of the kitchen
Step-by-step explanation:
in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m
Area of the bedroom is A=4*7.2=28.8 m^2
Area of the kitchen is 300.000 cm^2=30 m^2
30>28.8
The bigger area is area of the kitchen
The bigger area between bedroom and kitchen is kitchen which is 30 m^2
What is area?Area can be find of l length and b breadth sides is
Area = l b
How to find area?Here the scale of bedroom is given that is 1 : 40
If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are
l = 10x40 = 400 cm = 4 m
b = 18x40 = 720 cm = 7.2 m
Therefore the area will be
Area of bedroom = 4x7.2 = 28.8 m^2
And we have given
Area of the kitchen = 300,000 cm^2
Convert into m^2 we have
Area of the kitchen = 30 m^2
This shows the area of the kitchen is bigger than the area of the bedroom
This is the conclusion to the answer.
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Direct Variation: If y = 12, when x = 4, find y when x = 20. a.40 b.48 c.12 d.60
Answer:
d
Step-by-step explanation:
Given the x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 4, that is
12 = 4k ( divide both sides by 4 )
3 = k
y = 3k ← equation of variation
When x = 20 , then
y = 3 × 20 = 60 → d
Please answer I need help no rush.
Answer:
12 divided by -6
Step-by-step explanation:
12÷(-6) (3) + (-2)
PEMDAS
P There are no operations inside the parentheses
E There are no exponents
MD Multiply and divide from left to right
12 divided by -6 is the first from left to right
Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
Answer:
D
Step-by-step explanation:
solve for x
8x+6=10 please help me ASAP
Answer:
0.5
Step-by-step explanation:
8x+6=10
8x=10-6
8x=4
x=4/8=0.5
Given the coordinates of (5,2) and (-1,2), the distance is:
A) 6
B)None of the choices are
correct.
C) 16
D) 50
Answer:
A) 6
Step-by-step explanation:
[tex]\sqrt{(5 - (-1))^{2} + (2-2)^{2} } = \sqrt{36} = 6[/tex]
15 / 80
a) Work out 4 1/7 + 1 1/2
Answer:
5 9/14
Step-by-step explanation:
4 1/7 + 1 1/2= 5+1/7+1/2= 5+ 2/14+7/14= 5+ 9/14= 5 9/14
first put them into improper fractions, makes it easier
29/7 + 3/2
make the denominator the same
58/14 + 21/14 = 79/14
put it into a mixed fraction
79/14 = 5 9/14
The outside temperature at a place is - 20 degree Celsius and it drops 5 degrees every hour.How long it will take to reach the temperature zero degree Celsius?
Answer:
4 hours
Step-by-step explanation:
20-5x=0
5x= 20
x=4 hours
plz help!!! marking brainiest!!
What is the decimal equivalent of the fraction 8/10
Answer:
0.8
Step-by-step explanation:
The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.
The decimal equivalent of 8/10 is equal to 0.8
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The proper fraction is given as 8/10
All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.
Thus we have 8/10=4/5
=0.8
Hence, the decimal equivalent of 8/10 is equal to 0.8
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Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
Answer:
$12.75 is answer c
Step-by-step explanation:
Boa tarde gentiii Abaixo aparecem quatro sequências. Defina cada uma delas como RECURSIVA ou NÃO RECURSIVA. a) (5, 7, 9, 11, 13, 15, 17, 19, ...) b) (1, 4, 9, 16, 25, 36, 49, 64, ...) c) (1, 8, 27, 64, ...) d) (2, 5, 8, 11, 14, 17, ...)
Answer:
a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo
b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo
c) (1, 8, 27, 64, ...) Recursivo
d) (2, 5, 8, 11, 14, 17, ...) Recursivo
Step-by-step explanation:
Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores
O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;
1) Uma base que é predefinida
2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos
Para a série;
a) (5, 7, 9, 11, 13, 15, 17, 19, ...)
Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva
aₙ = aₙ₋₁ + 2
b) (1, 4, 9, 16, 25, 36, 49, 64, ...)
Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva
aₙ = (√ (aₙ₋₁) + 1) ²
c) (1, 8, 27, 64, ...)
Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva
aₙ = (∛ (aₙ₋₁) + 1) ³
d) (2, 5, 8, 11, 14, 17, ...)
Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.
Find the slope of the line y
Factor the trinomial by grouping.
9x^3 - 3x^2 -30x
Answer:
3x(3x+5)(x-2)
Step-by-step explanation:
[tex]9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)[/tex]
Hope this helps!
simplify a^3 x b x a^3 x b
Answer:
[tex] {a}^{6} {b}^{2} [/tex]
solution
[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
[tex]a^{6}b^{2}[/tex]
Step-by-step explanation:
[tex]a^3 \times b \times a^3 \times b[/tex]
If there are no exponents written, then the exponent is 1.
[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]
When multiplying two powers that have the same base, you can add the exponents.
[tex]a^{3+3} \times b^{1+1}[/tex]
[tex]a^{6} \times b^{2}[/tex]
Which of the following statements is true of the Alien and Sedition Acts?
They were designed to keep immigrants and the French in power.
They encouraged Americans to speak out against the government.
They were supported by Federalists and not by Democratic-Republicans.
Answer:
C (the last one)
Step-by-step explanation:
The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.
Hope this helps!!!!
Answer:
They were supported by Federalists and not by Democratic-Republicans.
Step-by-step explanation:
I took the edge 2021 test
BRAILIEST?
???? Answer please anyone
Answer:
The answer is 4 3/4
The pyramid below has a rectangular base and E is directly above A. find the volume of the pyramid
if you answer i’ll give you brainlest
Step-by-step explanation:
According to the information given and the formula
base area= 9cm × 4cm = 36
ht= 10cm
(1/3) × 36cm × 10cm = 120
Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.
What is Pyramid?
A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle which is called a lateral face.
Given are the dimensions of the base of a rectangular pyramid as 9 cm by 4 cm. Length AE is equal to 10 cm.
The volume of a pyramid is given by -
V[P] = 1/3 x B[A] x height
where
B[A] is Base area.
Base area will be equal to Area of rectangle with dimensions 9 cm by 4 cm. Therefore, the base area will be - B[A] = 9 x 4 = 36 cm²
Now, the volume will be -
V[P] = 1/3 x 36 x 10
V[P] = 12 x 10
V[P] = 120 cm³
Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.
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the line passing through point (2, 4), parallel to the line whose equation is y = x
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)
A) Determine the exact value of the area of Triangle ABC.
B) Determine the perimeter of Triangle ABC to the nearest tenth.
Answer:
a). Area = 54 square units
b). Perimeter = 33.7 units
Step-by-step explanation:
Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).
(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)
By substituting the values from the given vertices,
Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]
= [tex]\frac{1}{2}[-36+0-72][/tex]
= [tex]\frac{1}{2}(-108)[/tex]
= (-54) unit²
Therefore, absolute value of the area = 54 square units
(b). Distance between two vertices (a, b) and (c, d)
d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]
AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]
= [tex]\sqrt{106}[/tex]
= 10.295 units
BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]
= [tex]\sqrt{130}[/tex]
= 11.402 units
AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]
= 12 units
Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12
= 33.697
≈ 33.7 units
Find the slope of the line that passes through (6, 15) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=-5/4
Step-by-step explanation:
the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1
Find the values of x and y.
Answer:
[tex] \boxed{x = 15,y = 17} [/tex]
Step-by-step explanation:
[tex]Vertically \: opposite \: angles \: area \: equal \\ \\ So, \\ \\ = > 7x \degree + 7\degree = 112\degree \\ \\ = > 7x\degree = 112\degree - 7\degree \\ \\ = > 7x\degree = 105\degree \\ \\ = > x\degree = \frac{105}{7} \degree \\ \\ = > x\degree = 15\degree \\ \\ \\ \\ Supplementary \: angles \: add \: up \: to \: 180 \degree \\ \\ So, \\ \\ = >4y\degree + 112\degree = 180\degree \\ \\ = > 4y\degree = 180\degree - 112\degree \\ \\ = > 4y\degree = 68\degree \\ \\ = > y \degree= \frac{68}{4} \degree \\ \\ = > y\degree = 17\degree[/tex]
Find the values of x and y.
Step-by-step explanation:
C : x = 17,y = 15
Solve:2/3 - 4x +7-2= -9.x +5/6
x = -3/2
x = -2/3
X=2/3
X=3/2
Answer:
2/3-4x+7-2=-9.x+5/6
2/3+7/1-2/1-5/6=-9.x+4x
12+126-36-15/18=-5x
87/18=-5x
29/6=-5x
29/6÷5=-5x÷5
29/6*1/5=-5x÷5
29/30=-x
-29/30=x
-0.9667=x
Which answers are equal to the expression below? Check all that apply
Answer:
A, B, D, E, F
Step-by-step explanation:
The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.
Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
