Johan wants to make some small cakes.
He finds a recipe that says he needs 360 grams of flour to make 15 small cakes.
Johan has 0.85 kg of flour.
Johan works out how much flour he would need to make 38 small cakes, using the
information given in the recipe.
Does Johan have enough flour, according to the recipe, to make 38 small cakes?
Show your working clearly.
Answers
The amount of flour that will be needed for 38 cakes is 912 grams therefore Johan does not have enough amount of flour
What is word problem?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
360 grams is needed for 15 small cakes
therefore for 1 small cake, 369/15 = 24grams will be needed
therefore for 38 small cakes = 38× 24 = 912 grams of flour will be needed.
Johan has 0.85 kg of flours which is equivalent to 0.85 × 1000grams = 850 grams of flour.
Since 912 grams will be needed for 38 small cakes , it shows that Johan does not have enough amount of flour for 38 small cakes.
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Related Questions
Select an association attribute in each box to complete the sentence
Answers
Answer:
The pattern of association between time and distance is positive and linear.
a + b = 10 a - b = 2 Solve the system of equations. Responses
Answers
The solution to the given system of equations is a = 6, b = 4.
The system of equations is given as follows:
a + b = 10 .....(i)
a - b = 2 .....(ii)
To solve this system of equations, we can use the method of elimination.
Adding the two equations, we get:
(a + b) + (a - b) = 10 + 2
2a = 12
a = 6
Substituting a = 6 into one of the equations, we get:
6 - b = 2
b = 4
Therefore, the solution to the system of equations is:
a = 6, b = 4.
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A cube has volume 3375 cubic inches. Determine the area of one face of the cube.
Answers
The area of one face of the cube that has a volume of 3375 cubic inches is: 225 square inches.
What is the Volume of a Cube?A cube has equal edge length, and therefore has faces with the same area. The formula for finding the volume of a cube is given as:
Volume of cube = s³, where s is the side length of the cube.
Also, to find the area of one face of a cube, we would use the formula below:
Area of one face of a cube = s².
Given the following:
Volume of a cube = 3375 cubic inches
Find s as shown below:
s = ∛3375
s = 15 inches.
Therefore, we have:
Area of one face of a cube = 15² = 225 square inches.
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MODELING REAL LIFE A hemisphere-shaped mole has a diameter of 5.7 millimeters and a surface area of about
51 square millimeters. The radius of the mole doubles. Estimate the new surface area of the mole. Round your
answer to the nearest whole number.
The new surface area is square millimeters.
Answers
The new surface area of the hemisphere-shaped mole would be = 102mm².
How to calculate the new surface area for the hemisphere-shaped mole?A hemisphere-shaped mole has a shape that has one surface that is curved and the other surface a flat circular base.
Since the surface area of one hemisphere has been given, the second hemisphere can be determined.
To calculate the new surface area of the hemisphere-shaped moles the following is carried out;
Radius of the initial mole = 5.7/2 = 2.85 mm
If 2.85mm radius = 51 mm²
2(2.85mm) radius = x
Make X the subject of formula;
X = 2×2.85 × 51/2.85
= 102 mm²
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Given P( A) =0.12 P (B) = 0.12 P(A)=0.12, = 0.3 P(B)=0.3 and P(A ∪ B) = 0.334 P(A∪B)=0.334, find the value of P(A∩B), rounding to the nearest thousandth, if necessary.
Answers
The value of P(A∩B) rounding to the nearest thousandth, if necessary is: 0.086
How to solve probability problems?The parameters given are:
P(A) = 0.12
P(B) = 0.3
P(A ∪ B) = 0.334
We want to find the probability P(A∩B)
The P(A∪B) probability formula is given as:
P(A∪B) = P(A) + P(B) - P(A∩B)
where:
P(A) is Probability of event A happening
P(B) is Probability of event B happening
P(A∩B) is Probability of happening of both A and B.
Thus:
0.334 = 0.12 + 0.3 - P(A∩B)
P(A∩B) = 0.12 + 0.3 - 0.334
P(A∩B) = 0.086
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Solve for W.
w² + 7w = 0
Answers
Answer:
w=0,
w=-7
Step-by-step explanation:
i need help with this, please anyone I am so scared of failing. Please explain throughly,
thank you so much.
Answers
Check the picture below.
[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}[/tex]
which parent functions have a y-intercept at (0,0)? select all that apply
Answers
Answer: A,E or F.
Step-by-step explanation: That's the only ones that have X's and then x is 0
which statement about odd functions is correct?
Answers
Answer: C
Step-by-step explanation:
Think about y=[tex]x^{3}[/tex] This is an odd function because the highest exponent(degree) is odd
A. is wrong. Symmetry is where you can fold it and it would be the same. If i folded y=[tex]x^{3}[/tex] along the y- axis it would not be the same.
B is wrong. Transformations are where has it moved, which has nothing to do with odd functions in general
C. is correct. It is folded along y=x and flipped.
D. is wrong. If folded y=x it's in the same quadrant but it's not the same, its' reversed.
Find P U (Q n R).........................
Answers
Q n R = {5, 11} (common numbers)
P U (Q n R) = {5, 7, 10, 11, 13, 14} (Q n R common numbers + all the numbers from P)
Calculate the area of the square
Answers
The area of the given rectangle is 83.6cm²
How to find the area of the shape?We know that the area of a rectangle is equal to the product between the dimensions, here we can see that:
b = 11cm
h = 7.6cm
The formula for the area is:
A = b*h
Replacing the values we will get:
A = 11cm*7.6cm = 83.6cm²
that is the area.
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Anwer fast due tomorrow show work
Answers
Answer:45.3 miles/h
Step-by-step explanation
let 'x' be the speed of the car.
60 × 2/3 = 120/3 = 40
30 × 1/5 = 151/5
151/5 /40 = x / 60
151 / 200 = x / 60
=> x = (151×60) / 200
=> x = 45.3
given the expression (2^-3)(2^5)/2^7), select the three equivalent numerical expressions
Answers
The three equivalent numerical expressions are 1/32, 0.03125, 3.125 x 10^-2
How to simplify the numerical expressionsUsing the exponential rules, we can simplify the expressions as:
(2^-3)(2^5)/2^7)
= 2^(5-3)/2^7
= 2^2/2^7
= 1/2^(7-2)
= 1/2^5
= 1/32
Therefore, three equivalent numerical expressions for the given expression are: 1/32, 0.03125, 3.125 x 10^-2
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A ribbon is lining the outside of a circular object. If the object has a radius of 7 cm, then how long should the ribbon be?
Answers
Answer:
Length= 43.98 cm
Step-by-step explanation:
Circumference=2πr
r=7cm
C=2π(7)
C=43.98 cm
circumference is equal to the length of ribbon along the outside of the circular object
Evelyn has 36 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 154 square meters. List each set of possible dimensions (length and width) of the field.
Answers
The possible dimensions (length and width) of the field which is rectangle are (26m, 5m) or (5m, 26m) and (28m, 4m) or (4m, 28m)
Let's assume the length of the rectangle be L and the width be W.
We know that we have three sides of the rectangle to fence, so the total length of the fence will be L+2W = 36m.
Also, we know the area of the rectangle = L×W = 154 sq.m
Using the two equations above, we can solve for L and W as follows:
L = 36 - 2W (from the first equation)
Substituting this value of L in the second equation:
(36 - 2W)W = 154
2W² - 18W + 77 = 0
We get two possible values of width: W = 5 or W = 4
For W = 5, L = 26
For W = 4, L = 28
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Help me, please my friends. I need the assistance
Answers
The area of a rectangle is 14x² + 19x - 3 square units.
The degree of 4x² + 3y - 6x⁴y + 4 is 5.
The number of terms of 4x² + 3y - 6x⁴y + 4 is 4.
Adding, subtraction or multiplying two polynomials always results in another polynomial.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LB
Where:
A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length of a rectangle.By substituting the given parameters into the formula for the area of a rectangle, we have the following;
Area of rectangle = (7x - 1) × (2x + 3)
Area of rectangle = 14x² + 21x - 2x - 3
Area of rectangle = 14x² + 19x - 3 square units.
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This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
ill give brainlyest to the first to correctly answer this
Answers
The drop down menu is used to match each situation as below.
1. The rocket reached its maximum the x-value of the vertex
height in 5 s.
2. ground level the y-intercept
3. The rocket launcher was the y-value of the point containing
on the ground. the x-intercept on the right
4. The rocket was in the air 10 the x-intercept on the right
5. The maximum height of the the y-value of the vertex
rocket is 50 ft.
6. the time the rocket was the x-value of the point containing the
launched y-intercept
What is the key feature of the curveThe key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.
The vertex is the point the rocket had the maximum and height.
Generally, the curve traces a parabolic path
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Danielle deposited $300.00 into a new savings account that earns interest compounded continuously. After 8 years, the balance in the account
was $907.00. What was the interest rate on the account?
O 13.8%
O 12.5%
O 14.5%
O 10.1%
Answers
In this case, A = $907, P = $300, and t = 8 years. We need to find r.
907 = 300 * e^(8r)
Now, we'll solve for r:
(907/300) = e^(8r)
3.0233 = e^(8r)
To isolate r, take the natural logarithm of both sides:
ln(3.0233) = 8r
Now, divide by 8:
(ln(3.0233))/8 = r
r ≈ 0.125
To express the interest rate as a percentage, multiply by 100:
0.125 * 100 = 12.5%
So, the interest rate on the account is approximately 12.5%.
Which of the following choices is a linear function? NEED HELP ASAP!
Answers
Answer: f(x)=x-2
Step-by-step explanation:
Linear function means a straight line so graph each one to find which is a straight line
2. The ramp above connects two vertical supports,
forming two similar triangles: AADE~ AABC. Side AC corresponds to which side in the other triangle?
Answer:
3. What is the length of side BC?
Answers
The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units
Side AC corresponds to which sideFor two triangles to be similar, the corresponding sides of the triangles must be in proportion
Having said that
The side AC corresponds to the side AC in the other triangle
What is the length of side BC?The length BC is calculated as
BC/9 = 25/15
Express as products
So, we have
BC = 9 * 25/15
Evaluate the products
BC = 15
Hence, the length of BC is 15 units
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How would you describe what this transformation looks like when preformed on a coordinate plane
Answers
The description of function transformations and an example is highlighted below
Describing the transformation of the functionsTo describe the transformation of the functions, we need to identify the image and the preimage of the functions to be transformed
Take for instance the function is y = x² transformed to the function y = (x + 3)²
This means that the parent function is y = x²
When compared, we can see that
x in y = x² is x + 3 in y = (x + 3)²
This means that y = x² is shifted left by 3 units to form y = (x + 3)²
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Use the binomial theorem to find specified term of the given power of binomial ( remember that r starts at 0 in the binomial theorem so finding say the second term means that r=1)
Answers
The fourth term in the expanded form of (x - 1)⁶ is -20x³.
What is the fourth term in the expanded form of (x - 1)⁶?The fourth term in the expanded form of (x - 1)⁶ using the binomial theorem is calculated as follows;
The expanded form of (x - 1)⁶ using the binomial theorem is;
(x - 1)⁶ = 1x⁶ + (-6)x⁵ + 15x⁴ + (-20)x³ + 15x² + (-6)x + 1
(x - 1)⁶ = x⁶ -6x⁵ + 15x⁴ -20x³ + 15x² -6x + 1
To find the fourth term, we look for the fourth term from the left side to right side, which is -20x³.
Therefore, the fourth term in the expanded form of (x - 1)⁶ is -20x³.
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b. Allison went to the bakery and spent $3.75 for each cookie she bought and $1.50 for
a cup of lemonade. She spent a total of $24.00. What was the cost of each cookie?
Equation:
Answer:
Answers
Answer: each cookie costs $6.00
OR
x=6
In the figure below, the segments HI and HJ are tangent to the circle centered at O. Given that OI = 3.9 and OH= 6.5, find HJ.
H
6.5
9
O
HJ = 0
X
Answers
Based on the figure, we can see that triangles OHJ and OIX are similar because they share the same angle at O and HI and HJ are tangent to the circle. Thus, we can set up the following proportion:
OH / OI = HJ / (HJ + 9)
Substituting the given values:
6.5 / 3.9 = HJ / (HJ + 9)
Cross-multiplying:
6.5(HJ + 9) = 3.9HJ
Distributing:
6.5HJ + 58.5 = 3.9HJ
Simplifying:
2.6HJ = -58.5
HJ = -22.5
However, this answer doesn't make sense in the context of the problem. Since HJ represents a length, it cannot be negative. Therefore, we need to re-examine our work.
Looking back at our proportion, we can see that the ratio of OH to OI is greater than 1, which implies that HJ is greater than 9. This makes sense since HJ is a chord of the circle and thus must be longer than the radius.
Let's try the problem again, but this time we'll rearrange the proportion to solve for HJ:
HJ / (HJ + 9) = OI / OH
Substituting the given values:
HJ / (HJ + 9) = 3.9 / 6.5
Cross-multiplying:
6.5HJ = 3.9HJ + 35.1
Simplifying:
2.6HJ = 35.1
HJ = 13.5
Therefore, HJ is equal to 13.5.
write an equivilant fractions for 3 3/4 and 1 2/3 using a common denominator iready
Answers
The requried equivalent fraction for the equivalent fraction to 3 3/4 and 1 2/3, is 45/12, and 20/12.
To find a common denominator for 4 and 3, we can multiply them together to get 12.
So, we can convert 3 3/4 as:
3 3/4 = 12/4 + 3/4 = 15/4
Similarly, we can convert 1 2/3 as:
1 2/3 = 5/3
Therefore, the equivalent fractions for 3 3/4 and 1 2/3 using a common denominator of 12 are:
15/4 = 45/12 and 5/3 = 20/12
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5- Solve the following expression and write the answers in the lowest term possible. [1
point]
a.
(m-8)²
m-4
n²-12m+32
2m
X
2m²-16m
m²-8m+161
Answers
The solutions to the expressions are (m-8)² = m² - 16m + 64 and 2m²-16m + m²-8m+161 = 3m²- 24m + 161
Solving the expressionsFrom the question, we have the following parameters that can be used in our computation:
(m-8)²
Expand
So, we have
m² - 16m + 64
Next, we have
2m²-16m + m²-8m+161
Evaluate the like terms
3m²- 24m + 161
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
Answer:
The second scatterplot does not suggest a linear relationship between x and y.
Find (fog)(2).
f(x) = 3x + 2
g(x) = x²
(fog)(2)=
Answers
Answer:
(f·g)(2) = 14----------------------------
Find the composition of the functions f(x) and g(x), which is written as f(g(x)).
Given functions:
f(x) = 3x + 2,g(x) = x² .Find f(g(x)):
f(g(x)) = f(x²) = 3(x²) + 2Evaluate f(g(2)):
f(g(2)) = 3(2²) + 2 = 3(4) + 2 = 12 + 2 = 14So, (f·g)(2) = 14.
If I have 100 tiles and 98 are letters and 2 are blank I randomly drawl 2 title the first is a consonant and the 2 nd is a vowel what is the probability that both events will occur
Answers
The probability that both events will occur is 23.76%.
Given that, you have 100 tiles and 98 are letters and 2 are blank you randomly drawl 2 title the first is a consonant and the 2nd is a vowel.
Consonants (A) = 56
Vowels (B) = 42
Blank = 2
Total letters = 100
Two letters are drawn with replacement.
P(A) = 56/100 = 0.56
P(B) = 42/ (100-1) = 0.424
P(A).P(B) = 0.56*0.424 = 0.2376
Hence, the probability that both events will occur is 23.76%.
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Complete question is attached.
Answer appreciated! :D
Answers
Answer:
5/2
Step-by-step explanation:
Slope is rise over run, or how far it goes in the y direction over how far it goes in the x direction. In this case, y increases by a value of 5 at the same time x is increasing by a value of 2. This makes the slope 5/2, and it is positive since the values are increasing. If there is a problem your stuck on like this try graphing the points, desmos has a good graphing calculator :)