Answer:
£15.20
Step-by-step explanation:
butter : sugar : flour = 2 : 1 : 9
Total mass for 1 recipe = 30 g
2 + 1 + 9 = 12
12x = 30
x = 30/12
x = 2.5
For 1 scone:
butter = 2x = 2(2.5) g = 5 g
sugar = x = 2.5 g
flour = 9x = 9(2.5) g = 22.5 g
Cost for 1 scone:
butter: 5 g × £2.50/(500 g) = £0.025
sugar: 2.5 g × £1.60/(1000 g) = £0.004
flour: 22.5 g × £0.6/(1500 g) = £0.009
Cost for 1 recipe = £0.025 + £0.004 + £0.009 = £0.038
Cost for 400 scones = 400 × £0.038 = £15.20
Answer: £15.20
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
Answer: The area of the photo that fits the frame is 192 square inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle (A) = Length x width
Replacing with the values given and solving for A (area):
A = 16 x 12 = 192 in2
The area of the photo that fits the frame is 192 square inches.
Feel free to ask for more if needed or if you did not understand something.
Find the probability of exactly 3 successes p = 0.6, n = 5
Answer:
0.3456 = 34.56%
Step-by-step explanation:
Binomial distribution
[tex]\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}[/tex]
where:
n = number of trialsp = probability of successGiven:
p = 0.6n = 5x = 3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}[/tex]
Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%
Add and simplify. What is the restriction on x?
[tex]x\neq _________[/tex]
[tex]\frac{2}{x+4} +\frac{x}{x-3}[/tex]
[tex]\cfrac{2}{x+4}~~ + ~~\cfrac{x}{x-3}\implies \cfrac{(x-3)2~~ + ~~(x+4)x}{\underset{\textit{using this LCD}}{(x+4)(x-3)}} \\\\\\ \cfrac{2x-6+x^2+4x}{(x+4)(x-3)} \implies \cfrac{x^2+6x-6}{(x+4)(x-3)}\qquad x\ne -4,3[/tex]
why can't it be -4 or 3? for if it ever does become -4 or 3, the denominator will turn to 0, giving an undefined fraction.
What’s the probability Cecilia picks a plastic marble from the bag?
Answer:
Answer. = 2/2.
Step-by-step explanation:
90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!
Answer:
the answer is b
Step-by-step explanation:
you multiply 0.1% or 0.001 to 4200
the reason I am not multiplying 1.2% is because that is for yearly and 0.1% is for monthly
Answer:
A
Step-by-step explanation:
find 1.2% of £4,200 then multiply it
Four friends are playing the board game Hidden Treasure. The game begins with 40 coins
divided evenly among the four players. Each player keeps 2 of their coins on the table and
keeps the rest of the coins inside their bag.
Let b equal the number of coins in each bag.
Which equation represents the total number
of coins the four players have?
4(b+2)=40
4b=40
b+2=49
4b+2=40
Answer:
I hope this helps 40 divided by 4 is 10 10 per person 10-2=8 8 coins in each players bag and the total amount of coins in bags is 8 times 4 which is 32
100 POINTS!!!Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A.0 B.1 C.2 D.4 E.infinitely many
Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?
Kate can see across the horizon by 3.33 times further than Paul.
What is the shape of the horizon?The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.
The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
For Kate:
Height (h) = 50 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]
V = 2.12526863 × 10¹⁵ m³
For Paul
Height (h) = 15 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]
V = 6.3758059 × 10¹⁴ m³
To determine how much further can kate see across the horizon than Paul, we have:
= Volume of Kate/Volume of Paul
= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³
= 3.33 times further.
Learn more about Plane shapes here:
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GIRL NO!!!! IM FAILING CAN SOMEONE HELP ME ASAP ON THIS SCREEN SHOT
Answer:
d = 306 m
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (10, 20) and (x₂, y₂ ) = (280, 164) ← house and beach coordinates
d = [tex]\sqrt{(280-10)^2+(164-20)^2}[/tex]
= [tex]\sqrt{270^2+144^2}[/tex]
= [tex]\sqrt{72900+20736}[/tex]
= [tex]\sqrt{93636}[/tex]
= 306 m
Answer:
The distance from Francesca's house to the beach is 306 meters.
Step-by-step explanation:
Use the Pythagorean Theorem to find the straight-line distance from Francesca's house to the beach.
Step 1 Find the length of the horizontal leg.
The length of the horizontal leg is the absolute value of the difference between the x- coordinates of the points (280,20) and (10,20).
|280 - 10| = 270
The length of the horizontal leg is 270 meters
Step 2 Find the length of the vertical leg.
The length of the vertical leg is the absolute value of the difference between the y- coordinates of the points (280,164) and (280,20)
|164 - 20| = 144
The length of the vertical leg is 144 meters.
Step 3 Let a = 270 and b = 144. Let c represent the length of the hypotenuse. Use the Pythagorean Theorem to find c.
a² + b² = c²
270² + 144² = c² Substitute into the formula.
72900 + 20736 = c² Simplify.
93636 = c² Add.
√93636 = c Take the square root of both sides.
306 = c Simplify.
The distance from Francesca's house to the beach is 306 meters.
One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?
Answer:
15° and 100°
Step-by-step explanation:
[tex]65 + 3x + 20x = 180[/tex]
[tex]23x = 115[/tex]
[tex]x = 5[/tex]
3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.
¿Es cierto que 8/12 2/4 = 1 1/6?
Please help me and hurry
Answer:
1.5 x 10 ^4
Step-by-step explanation:
Answer:
1.5 x 10 ^4
Step-by-step explanation:
hello hope this helps
Which expressions are equivalent?
Answer:
3x -7y = -7y+3x
Step-by-step explanation:
3x is positive and 7y is negative
We can reverse the order
3x -7y = -7y+3x
PLease Help me its a math problem see image attached
Answer:
the second one
Step-by-step explanation:
find angle BAD of the diagram.
[tex]∠BAD≈65.22°[/tex]
Step-by-step explanation:Note:
The following formula is tan formula:
[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
1) Finding the tan of ∠BAC
[tex]tan(\theta)=\dfrac{4}{5}[/tex]
[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]
2) Finding the tan of ∠CAD
[tex]tan(\theta)=\dfrac{3}{6}[/tex]
[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]
3) Add the value of ∠BAC to the value of ∠CAD
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]
4) The sum of interior angles in quadrilateral is 360°
Then
[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]
[tex]180°+∠CDA+∠CBA=^?360[/tex]
[tex]180°+90°+90°=^?360°[/tex]
[tex]360°=360°[/tex]
In an orchard, there are 17 apple trees, 30 orange trees, and a cherry tree. what is the ratio of orange trees to cherry trees? a. 17:30 b. 47:30 c. 30:1 d. 1:30
Answer: C. 30:1
Step-by-step explanation:
A ratio of x:y is created by taking the number of x and the number of y, plugging them in, and reducing if necessary. In this problem, x is orange trees and y is cherry trees. There are 30 orange trees and only 1 cherry tree, so the ratio is 30:1. It cannot be reduced.
Which of the following ordered pairs does NOT represent a point that lies on the graph of the linear equation x + 5y = 15?
A. (10, 1)
B. (-5, 1)
C.(5, 2)
D.(-10, 6)
Answer:
D
Step-by-step explanation:
(-10,6) got it correct
pleaseeeee help ill give u brainliest
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following.
C=250n+6500
Answer the following questions.
(a)
What is the total cost of transporting 11 tons?
$?
(b)
If the total cost is $11,750, how many tons is the company transporting?
? tons
Answer:
(a) C = $9250
(b) n = 21 tons
Step-by-step explanation:
(a) 11 tons being transported, so n = 11.
∴ C = 250 (11) + 650
C = $9250
(b) C = $11,750
∴ 11750 = 250n + 6500
250n = 5250
n = 21 tons
Hope this helps!
4. Write an expression to find the perimeter
of the rectangle below. 6x
3x-5
Answer:
Down below
Step-by-step explanation:
If I am correct, it would be 6x + 6x + 3x - 5 + 3x - 5. I am almost positive this is what they are asking for. If I am incorrect, I will answer three questions for free, on any topic of your choosing. In advance, sorry if I'm incorrect.
Emily is a songwriter who collects royalties on her songs whenever they are played in
a commercial or a movie. Emily will earn $40 every time one of her songs is played in
a commercial and she will earn $120 every time one of her songs is played in a movie.
Emily earned a total of $600 in royalties on 11 commercials and movies. Graphically
solve a system of equations in order to determine the number of commercials, x, and
the number of movies, y, on which Emily's songs were played.
a
✓Click twice to plot each line. Click a line to delete it.
Answer:
x + y = 12
40 x + 120 y = 640
Step-by-step explanation:
Kendra mixes 2 liters of iced tea with 1 liter of lemonade. she pours an equal amount of the mixture into 6 jars. how many milliliters of the mixture did kendra pour into each jar? use the drop-down menu to complete the answer. please help
Answer:
Kendra pours 500 milliliters of the mixture into each jar.
Step-by-step explanation:
2 liters + 1 liters = 3 liters3 liters = 30 desiliters30 dl ÷ 6 = 5 dl5 desiliters = 500 millilitersAnswer:
500
Step-by-step explanation:
Kendra poured
500
milliliters into each jar.
3 different ways to write 5^11
Answer:
There are many ways we can write [tex]5^{11}[/tex] one of them being that we just write 11 fives being multiplied against each other like the following:
[tex]5*5*5*5*5*5*5*5*5*5*5[/tex]
This can seem very repetitive which is why powers are a lot more helpful. We can also rewrite [tex]5^{11}[/tex] using the power in the bottom of a fraction. The way that we do this is put [tex]5^{-11}[/tex] on the bottom which can then be flipped to the top with a positive power and will be the same.
[tex]\frac{1}{5^{-11}}[/tex]
The final way that we can rewrite [tex]5^{11}[/tex] is by using several different powers. We can do [tex]5^6*5^5[/tex] which will equal the same thing as [tex]5^{11}[/tex] because the base is the same and what we basically do is just add up the powers together to get back to 11.
[tex]5^6*5^5[/tex]
Answer:the answer above is correct
Step-by-step explanation:
A shirt that was selling for $80 is reduced to $60. Find the percent decrease in price.
Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
If an object is rotated 360 degrees then what will the figure look like?
1. The exact same as the pre-image
2. An upside down version of the pre-image
3. A sideways version of the pre-image
Answer:
the exact same as the pre image
A savings account offers 0.8% interest compounded bimonthly. If Bob deposited $300 into this account, how much interest will he earn after 10 years?
Answer:
$288
Step-by-step explanation:
We first need to find what 0.8% of 300 makes and to do that we multiply 300 with 0.8 and divide that by 100
300*(0.8)/100 = 2.4 this is the monthly interest
Now we need to find how much it'd be after 10 years
There are 10*12 = 120 months in 10 years
120*(2.4) = 288 is the interest Bob will earn after 10 years
Find the measure of the missing angles.
Answer:
y= 129
x= 39
Step-by-step explanation:
?÷9 resto:6 resultado:476 me ayudan necesito saber cual es el numero que se divide por 9 para que la division quede completa.
Porfa doy coronita y les doy mis puntos.
Answer:
4289.4
Step-by-step explanation:
El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6
find x so that x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence
Answer:
x = -3/2
Step-by-step explanation:
x + 3 + d = 2x + 1 First term plus common difference = 2nd term
x -2 = d
x + 3 + 2d = 5x+2 First term + 2 d = third term re-arrange:
4x-1 = 2d sub in the definition of d from above
4x -1 = 2 (x-2)
4x-1 = 2x-4
2x = -3
x = -3/2
If x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The sequence in which consecutive terms will have common difference is called as Arithmetic sequence.
x+3, 2x+1, and 5x+2
The common difference between first term and second term
d=2x+1-x-3
d=x-2
The common difference between second term and third term
5x+2-2x-1=d
3x+1=d
Now plug in d value
3x+1=x-2
Subtract x from both sides
3x-x=-3
2x=-3
Divide both sides by 2
x=-3/2
Hence, if x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.
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Rule 1: Add 4 starting from 0. Rule 2: Add 8 starting from 0. Complete the first 5 terms in each sequence using the rules. How are the corresponding terms related?
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is four times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.
Each term in the first sequence is four times the corresponding term in the second sequence.
First Sequence:
0 + 4 = 4 + 4 = 8 + 4 = 12 + 4 = 16 + 4 = 20
Second Sequence:
0 + 8 = 8 + 8 = 16 + 8 = 24 + 8 = 32 + 8 = 40
Identify correct option:
Each term in the second sequence is double the corresponding term in the first sequence.
wierd circles i dont like using pi please help