The ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook is 75:50
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Total Recipes= 150
Books have three section: vegetarian dishes, meat dishes, and desserts.
So, vegetarians
= 150 x 1/2
= 75
and, Non vegetarians
= 150 x 1/3
= 50
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Find the exact value of the logarithmic expression without a calculator. Show all work
log3 4√27
Answer:
3/4 or 0.75
----------------------
Given expression
[tex]log_3\ \sqrt[4]{27}[/tex]Find its value using logarithm rules:
[tex]log_3\ \sqrt[4]{27} =log_3\ \sqrt[4]{3^3} =log_3\ 3^{3/4}=3/4\ log_3\ 3=3/4[/tex]The rules used above:
[tex]log_a\ a=1,\ log_a\ b^c=c\ log_a\ b[/tex]Which expressions represent the length of side \overline{MN}
MN
start overline, M, N, end overline?
The length of side MN is approximately 4.43 for the right triangle MNO.
In a right triangle MNO, with side NO equivalent to 4 and MO equivalent to 1.9, and with points MNO equivalent to 25 degrees and MON equivalent to 90 degrees, the length of side MN can be tracked down utilizing the Pythagorean hypothesis.
The Pythagorean hypothesis expresses that in a right triangle, the square of the length of the hypotenuse (the longest side) is equivalent to the number of squares of the other different sides. Thus, for this situation:
MN² = NO² + MO²
MN² = 4² + 1.9²
MN² = 16 + 3.61
MN² = 19.61
Taking the square root of both sides:
MN = √(19.61)
MN = 4.43
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The question is -
Consider the right triangle MNO below. Which expressions represent the length of the side MN?
Ethan and Emily went shopping at a local farmers’ market. They both
bought the same type of apples and potatoes at the same stand. Ethan
paid $25.50 for 8 pounds of apples and 5 pounds of potatoes. Emily paid
$18.50 to buy 3 pounds of apples and 10 pounds of potatoes. Which
ordered pair represents the price per pound of apples, x, and potatoes,
y?
(3.66,0.76)
(2.50,1.10)
(1.71,2.36)
(0.62,4.11)
Let x be the price per pound of apples and y be the price per pound of potatoes.
For Ethan, the total cost for apples was $25.50 - 5y and the total cost for potatoes was $25.50 - 8x.
So, we have the following two equations:
8x + 5y = 25.5
3x + 10y = 18.5
Solving this system of linear equations, we get:
x = 1.71 and y = 2.36.
So, the ordered pair (x,y) = (1.71, 2.36) represents the price per pound of apples and potatoes.
0.5568 divided by 0.58
Answer:
Step-by-step explanation:
0.96!
0.5568 divided by 0.58 is approximately 0.9593.
Here, we have,
To divide 0.5568 by 0.58, you can follow these steps:
Step 1: Write down the dividend (the number being divided), which is 0.5568.
Step 2: Write down the divisor (the number you're dividing by), which is 0.58.
Step 3: To simplify the division, you can multiply both the dividend and divisor by a power of 10 to remove the decimal places. In this case, we can multiply both numbers by 100 to move the decimal point two places to the right.
0.5568 * 100 = 55.68 (new dividend)
0.58 * 100 = 58 (new divisor)
Step 4: Divide the new dividend by the new divisor:
55.68 / 58 ≈ 0.95931034
Step 5: Round the result to the desired number of decimal places. In this case, since the original dividend had four decimal places, we can round the result to four decimal places:
0.9593
Therefore, 0.5568 divided by 0.58 is approximately 0.9593.
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Yesterday, Sam had 149 baseball cards. Today, he gave m away. Using m, write an expression for the number of cards Sam has left.
Answer: 149 - m
He gave some away so we subtract
800(4)-{3(5)•5(2)-7(27)}-y
when y is 90
Answer:
3149
Step-by-step explanation:
800(4)-{3(5)•5(2)-7(27)}-y
800(4)-{3(5)•5(2)-7(27)} - 90
3200 -{15•10-189} - 90
3200 -{150-189} - 90
3200 -{-39} - 90
3200 + 39 - 90
3149
The probability that Dan wins in a raffle is given by the expression p. Write down an expression for the probability that Dan does not win
If the probability of Dan winning is 'p', then the probability that he does not win is ' 1-p' .
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. The probability of a event happening and the same event not happening is 1 or 100%.
Let Dan winning in a raffle is Event A.
Let Dan not winning in a raffle is Event B.
Probability of Dan winning + Probability of not winning = 1
p + P(B) = 1
P(B) = 1 - p
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First, this was going to be one question with 15 points then I changed it to 30 points now
because I need someone to solve these two hard math problems that I can't get or understand.
Answer:
a)3⋅37/2⋅5
=11 1/10
=11.1
b) -1.1
Step-by-step explanation:
0.5(-77.8 - 11)/-4 =
= 0.5(-88.8)/-4 = 0.5(22.2) = 11.1
as you can see, when just doing it step by step, this can be done just in the head without the need of a calculator.
remember the priorities for mathematical operations :
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
and also
+×+ = +
-×- = +
-×+ = -
+×- = -
therefore, -88.8/-4 = 22.2
and
0.5 = 1/2
so, 22.2×0.5 = 22.2/2 = 11.1
regarding average :
the average of a set of data is always the sum of all the data divided by the number of data points.
so, we see here 5 data points.
their sum is
-32.6 + 24.7 - 8.3 + 19.1 - 8.4 = -5.5
the average is then
-5.5/5 = -1.1 m sea level
What percentage did you tip if your lunch was $5 and you left $1? Enter your answer with a "%"
The bar chart shows the marks scored in a test. What was the modal mark? Help!!!
Based on the given bar chart, the modal mark of the pupils test score is 6.
What is bar chart?A bar chart is the graphical representation of data using rectangles also referred to as bars.
A mode is a statistical measure which shows the data with the most reoccurring value. Simply put, the mode is the value which occurs most in a frequency distribution.
Number of pupils Marks scored
1. 1
2. 2
3. 3
3. 4
4. 5
5. 6
3. 7
2. 8
1. 9
1. 10
Therefore, 5 pupils scored 6 marks which is the Model mark because it has the highest number of pupils to the test scores.
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Can anyone help me to answer this?
Supposed more data points were plotted on the scatterplot, shown above. Now with 50 data points, explain why there is no way to create the same linear module and the line of the best fit as before? Are there any other linear association on the scatterplot?
Addition of more points change the pattern on the plot
There is another linear association on the scatterplot
Why there is no way to create the same linear moduleFrom the question, we have the following parameters that can be used in our computation:
The scatterplot
When more points are added to the plot, the points may tend to change the relation on the scatterplot
Any other linear association on the scatterplot?Yes, there is.
This is represented by the set of points that form the negative linear relation
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YQ and XP are altitudes to the congruent sides of isosceles triangle △WXY.
Select all the true statements.
When YQ and XP are altitudes to the congruent sides of isosceles triangle, the true statement are:
WXY = WXY
PXY = QYX
How to illustrate the informationIsosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. It should be noted that the two sides of the triangle are congruent and the angles opposite to these sides are also congruent
From the information WXY is an isosceles triangle.
WXY = WXY
XY = XY
QXY == PYX (property of congruent triangle}
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Sunita creates a scale model of an
aeroplane.
The scale of the model is 4 cm to 13
m.
Sunita's model has a wingspan of 21
cm.
What is the wingspan of the real
aeroplane?
The wingspan of the real aeroplane is equal to 68.25 cm.
What is scale factor?In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures such as aeroplanes, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
Mathematically, the scale factor of a geometric figure can be calculated by dividing the dimension of the image by the dimension of the pre-image (original figure):
Scale factor = 13/4
Scale factor = 3.25
For the wingspan of the real aeroplane, we have:
Real Wingspan = 3.25 × 21
Real Wingspan = 68.25 cm.
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PLEASE HELPP
Determine whether the point (4,-5) is on the graph of each equation.
A. 3x+2y=4
B. 2x+3y=-7
C. y=4x-21
D. y=6x-15
E. 1/5y=7-5/2x
F. 3/4x+2/10y=2
PLEASE DETERMINE ALL ANSWERS
Answer:
B, C, F
Step-by-step explanation:
To see if the point (4, -5) is on the graph of each equation or not, we have to put the number in and test it.
A. 3(4)+2(-5) = 4
12 - 10 = 4
2 = 4
So, it is not in graph A
B. 2(4) + 3(-5) = -7
8 - 15 = -7
-7 = -7
So, it is in graph B
C. -5 = 4(4) -21
-5 = 16 - 21
-5 = -5
So, it is in graph C
D. y=6x-15
-5 = 6(4) - 15
-5 = 24 - 15
-5 = 9
So, it is not in graph D
E. 1/5y = 7 -5/2x
1/5(-5) = 7 -5/2(4)
-1 = 7 - 10
-1 = -3
So, is not in graph E
F. 3/4x + 2/10y = 2
3/4(4) + 2/10(-5) = 2
3 - 1 = 2
2 = 2
So, it is in graph F
So, point (4,-5) is on graphs B, C, F
It snowed 3.02 inches on Monday and 0.26 inches on Tuesday. How much did it snow on Monday and Tuesday combined?
Answer: 3.28
Step-by-step explanation: so on monday it snowed 3.02 plus 0.26 on tuesday, now add 3.02 + 0.26 = 3.28
hope it helps !!!
Please help only correct answers please
The length of line JM would be = 19.2.
How to determine the missing length of the given figure?To calculate the missing length of the given figure above, the following steps should be taken as follows:
The formula that should be used is given as;
= GJ/GM = HK/HN
where;
GJ = 16
GM = 16+X
HK = 15
HN = 15+18 = 33
That is;
16/16+x = 15/33
16×33 = 15(16+X)
528 = 240+15x
528-240 = 15x
15x = 288
X = 288/15
= 19.2
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x + 2y² = 4
y=x-1
Solve system of equations step by step
Answer:
[tex]\displaystyle x_1=2,\,x_2=-\frac{1}{2}[/tex]
[tex]\displaystyle y_1=1,\,y_2=-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+2y^2=4\\x+2(x-1)^2=4\\x+2(x^2-2x+1)=4\\x+2x^2-4x+2=4\\2x^2-3x-2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(2)(-2)}}{2(2)}\\ \\x=\frac{3\pm\sqrt{9+16}}{4}\\ \\x=\frac{3\pm\sqrt{25}}{4}\\ \\x=\frac{3\pm5}{4}\\\\x_1=\frac{3+5}{4}=\frac{8}{4}=2,\,x_2=\frac{3-5}{4}=\frac{-2}{4}=-\frac{1}{2}[/tex]
[tex]\displaystyle y_1=2-1=1, y_2=-\frac{1}{2}-1=-\frac{3}{2}[/tex]
Answer:
(2, 1) (-0.5, -1.5)
Step-by-step explanation:
[tex]\begin{cases}x + 2y^2 = 4\\y = x - 1\end{cases}[/tex]
From here, we can substitute [tex]y = 2x - 1[/tex] into the first equation.
[tex]x + 2(x - 1)^2 = 4\\x + 2(x^2 - 2x + 1) = 4\\x + 2x^2 - 4x + 2 = 4\\2x^2 - 3x + 2 = 4\\2x^2 - 3x - 2 = 0\\x = 2, -\frac12[/tex]
Substituting back into the second equation to find the corresponding y values:
[tex]y(x = 2) = 2 - 1 = 1\\y(x = -\frac12) = -\frac12 - 1 = -1.5[/tex]
Help me as fast as u can and get lost of points
the equation for the line will be y = -5x +11 .
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The given line is y = x/5 +3
the slope is m = 1/5
So the slope of the perpendicular line will be -5
So the equation of line will be y-3 = m1(x-1)+3
y-3 = -5x+5+3
y = -5x +11
Hence the equation for the line will be y = -5x +11 .
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How many different triangles can you make if you are given 3 measurements for angles?
An infinite amount
When you are only given angles, then that means that the sides could be anything. 1, 2, 3, 1298371823, they are all possible.
Answer:
only 1
Step-by-step explanation:
Because I'm smart
Sry for the bad explanation but the answer is correct.
James invests £200 for 1 year in a bank account. This account pays simple interest at a rate of 3% per year. Work out the total amount of money in the account at the end of the year
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \pounds 200\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &1 \end{cases} \\\\\\ A = 200[1+(0.03)(1)] \implies A = 206[/tex]
Sam has already biked 12 miles plus 1/4 of the total distance he will travel today. He still needs to bike 3/8 of the total distance plus 9 more miles to complete his trip. What is the total distance he will travel today?
The total distance Sam will travel is 56 miles.
What is a Fraction?
A Fraction is a number that is a part of a whole. It is denoted by [tex]\frac{a}{b}[/tex] form. In which the upper part 'a' denotes the numerator and the lower part 'b' denotes the denominator.
Let d be the total distance travelled by Sam.
Then, he travelled 12 miles plus 1/4 total distance = 12+ [tex]\frac{1}{4}[/tex](d)
He still needs to travel = [tex]\frac{3}{8}[/tex](d)+9
Total distance,d = 12+[tex]\frac{1}{4}[/tex](d)+[tex]\frac{3}{8}[/tex](d)+9
d = 12+9+[tex]\frac{5}{8}[/tex](d)
d = [tex]\frac{96 +72+5d}{8}[/tex]
8d = 96+72+5d
8d-5d = 168
d = [tex]\frac{168}{3}[/tex]
d= 56 miles.
Hence, total distance Sam will travel today is 56 miles.
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is it legal to drive at 80 mph if everyone is driving at that same speed, even though the posted speed limit is 65 mph?
Answer:
No, it is not legal to drive at 80 mph, even if everyone else is driving at that speed, if the posted speed limit is 65 mph. The posted speed limit is the maximum legal speed that drivers are allowed to travel on a particular road, and it is a law that must be followed.
Step-by-step explanation:
calculate the perimeter of a triangle whose first side is x cm long, the second is 4 cm longer and the third is 1 cm shorter than the first side.
Answer:
(3x+3) cm
Step-by-step explanation:
x+(x+4)+(x-1)=x+x+4+x-1
=x+x+x+4-1
=(3x+3) cm
E
Jean transformed a point by using the rule (x,y)(x-6,y+8). The image point is (-4, 1). Which point is the pre-image?
O (-10, 9)
O (2-7)
(-2,7)
(10,-9)
Mark this and return
Save and Exit
Next
Submit
By applying the transformation formula (x,y) -> (x-6,y+8) to the location (-4, 1), the pre-image would be (-4+6, 1-8) = (2,-7).
So the appropriate response is: (-2, -7).
What exactly are pre-image and image?Shifts and scaling are two common transformations used in geometry to create new shapes from figures in a plane. Images are the new (modified) shapes, and preimages are the original, unmodified shapes.
What does geometry's preimage mean?The preimage is the body of the object as it was originally, and the transformed shape of the object is termed the image.
The word "preimage" is plural (mathematics) The collection of all domain elements mapped onto a specific subset of the function's arguments.
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Write the equation of the line that passes through (3,-4) and is parallel to the line y=-8x-5
Answer:
y = - 8x + 20
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 8x - 5 ← is in slope- intercept form
with slope m = - 8
• Parallel lines have equal slopes , then
y = - 8x + c ← is the partial equation of the parallel line
to find c substitute (3, - 4 ) into the partial equation
- 4 = - 8(3) + c = - 24 + c ( add 24 to both sides )
20 = c
y = - 8x + 20 ← equation of parallel line
Write two different inequalities in which one of the solutions is the same as the solution x -23=191
This inequality can be expanded to x - 214 ≤ -23, which means that any value of x that is less than or equal to -23 satisfies the inequality.
1. x + 191 ≥ 214
2. x - 214 ≤ -23
1. To solve this inequality, we add 23 to both sides of the equation: x - 23 = 191.
x + 191 ≥ 214
2. To solve this inequality, we subtract 191 from both sides of the equation: x - 23 = 191.
x - 214 ≤ -23
1. x + 191 ≥ 214
This inequality can be expanded to x + 191 ≥ 214, which means that any value of x that is greater than or equal to 214 satisfies the inequality.
2. x - 214 ≤ -23
This inequality can be expanded to x - 214 ≤ -23, which means that any value of x that is less than or equal to -23 satisfies the inequality.
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Angle A is represented by the expression 3X + 2. Angle B is represented by the expression X + 10. Angles A and B are vertical angles. What is the sum in degrees of Angle A and Angle B?
The sum in degrees of Angle A and Angle B is 28 degrees
What is the sum in degrees of Angle A and Angle B?From the question, we have the following parameters that can be used in our computation:
Angle A is represented by the expression 3X + 2. Angle B is represented by the expression X + 10. Angles A and B are vertical angles.Using the above as a guide, we have the following:
3x + 2 = x + 10
This means that
2x = 8
Divide by 2
x = 4
S, we have
Sum = 3x + 2 + x+ 10
Evaluate
Sum = 3 * 4 + 2 + 4 + 10
Sum = 28
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Is x2 + 2bx - b? a perfect square trinomial? Explain. If not, what is an expression for the last term that will make it a perfect square trinomial?
The expression that will be a perfect square binomial is
x² + 2bx + b² = (x+b)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similarly, trinomials are three-term algebraic expressions.
For example, if we take a binomial (x + 3)
The perfect square trinomial is (x + 3)² = x² + 6x + 9
Given equation is x² + 2bx - b
The general equation is ax² + bx +c
Comparing the expressions we get,
a = 1
b = 2b
c = -b
A trinomial is a perfect square if and only if it satisfies the condition
b² = 4ac
Substituting the above values,
(2b)² = 4 * 1 * -b
4b² = - 4b
The value of b² can never be a negative number. So the above relation is not true for the given expression.
For the expression to become a perfect square binomial, the last term should be b².
Therefore the expression that will be a perfect square binomial is
x² + 2bx + b² = (x+b)²
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©There is a bag with only milk and dark
chocolates.
The probability of randomly choosing a
dark chocolate is g
There are 18 dark chocolates in the bag
and each is equally likely to be chosen.
Work out how many milk chocolates
there must be.
Answer:
Step-by-step explanation:
We know that the bag has dark chocolates and milk chocolates, and the probability of randomly choosing a dark chocolate is g. And, we know that there are 18 dark chocolates in the bag and each is equally likely to be chosen.
Now, let's use this information to find the number of milk chocolates. If there are n total chocolates in the bag, then the probability of choosing a dark chocolate is g, and the probability of choosing a milk chocolate is 1-g. We can write these probabilities as:
g = 18/n
1-g = (n-18)/n
So, if we equate the two expressions, we get:
18/n = (n-18)/n
That means:
18 = n - 18
And finally:
n = 36
So, there must be 36 chocolates in the bag, and 18 of them are dark chocolates, which means there must be 18 milk chocolates!
The point T( – 1,2) is rotated 180° clockwise around the origin. What are the coordinates of the resulting point, T'?
When a point T(- 1, 2) is rotated 180° clockwise about the origin, the coordinates of the new point T' may be obtained using coordinate plane rotation rules would be (1, -2).
The x-coordinate changes its sign with a 180° clockwise rotation, as does the y-coordinate.
As a result, the coordinates of T' following a 180° clockwise revolution around the origin are:
T'(x', y') = ( -(-1), -(2)) = (1, -2)
So, point T' is located at (1, -2).
It's worth noting that rotations about the origin keep the distance between the source and the point being rotated constantly.
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