Answer: he drives 273 miles for 7 hours
Step-by-step explanation:
Make c the subject:
A=b+cd
Answer:
C = A/d - b/d or C = (A - b)/d
Step-by-step explanation:
A = b + cd
A - b = cd
A/d - b/d = c
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
Therefore, 110 calories are in 1 serving of milk.
Given, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda.
Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk.
Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.
What are Linear Programming problems?Linear programming, commonly known as LP, is a straightforward technique for representing complex real-world interactions by means of a linear function.
Now,
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
For Joe, the equation to show the amount of calories is
2x + y + z = 530 -----(1)
For Darius, the equation to show the amount of calories is
x + 2y = 370 ------(2)
For Marian, the equation to show the amount of calories is
3x + z = 510 ------(3)
Now, y=370/2-x/2 and z=510-3x substitute in the equation 2x + y + z = 530.
2x+185-0.5x+510-3x=530
⇒695-1.5x=530
⇒1.5x=165
⇒x=110 calories
Hence, 110 calories are in 1 serving of milk.
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what letter and the answer
PLEASE HELP!!! LOOK AT PIC PLEASE!!
Answer: C, D
Step-by-step explanation:
Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.
20 divided by tann(45°)
Answer:
20
Step-by-step explanation:
as we know
[tex] \tan {45}^{0} = 1 \\ [/tex]
20/ 1=20
is correct answer
Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answer:
-16n-41
Step-by-step explanation:
Answer:
-16n - 41
Step-by-step explanation:
(2 • (-n - 3)) - 7 • (2n + 5)
-n - 3 = -1 • (n + 3)
-2 • (n + 3) - 7 • (2n + 5)
-16n - 41 = -1 • (16n + 41)
Use the leading term for your answer
-16n - 41
[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it
Answer:
1. 3.33333333333
2. -1.3
3. 2.61904761905
4. 2.00833333333
-4.625,-5.2,-4 4/5, -4 8/11 order least to greatest
Answer:
-4.625, -4 8/11, -4 4/5, -5.2
Step-by-step explanation:
-4 8/11 = -4.72727272723
-4 4/5 = -4.8
Does anyone know the answer to this ?
Answer:
5182
Step-by-step explanation:
To figure out the mean of a number, you must add all of the numbers together and divide by the amount of numbers you added up.
To find the total sum, we just need to reverse this process.
We are already given the final number so all we have to do is multiply the mean by 100 and we have our answer of 5182.
Hope this helps :D
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Answer:
1814400
Step-by-step explanation:
The equation of a circle is given below:
x squared minus 8 x plus y squared plus 6 y minus 11 equals 0
Identify the center and radius of the circle.
Group of answer choices
center: left parenthesis 4 comma minus 3 right parenthesis
radius: 6
center: left parenthesis negative 8 comma 6 right parenthesis
radius: 6
center: left parenthesis 4 comma minus 3 right parenthesis
radius: 36
center: left parenthesis negative 8 comma 6 right parenthesis
radius: 36
The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The equation is given below.
x² - 8x + y² + 6y - 11 = 0
x² - 8x + y² + 6y = 11
Then the center and the radius of the circle will be
x² - 8x + 16 + y² + 6y + 9 = 11 + 16 + 9
(x - 4)² + (x + 3)² = 36
(x - 4)² + (x + 3)² = 6²
Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.
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Anna and Brian share £24.50
in the ratio 2:5. How much
does each person get?
Select the elements in A.
A = {x: 10 < x < 30}
= {x:x is a square number}
Answer:
A= 4,5
Step-by-step explanation:
the required ans is above
Answer:
[tex]\{ 16, 25\}[/tex]
Step-by-step explanation:
[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]
what is the slope of (4, −6) and (0, 2)
Step-by-step explanation:
please mark me as brainlest
What is 4 ( x − 1 ) ≥ 2 x + 6 as an improper fraction?
Answer:
18/5
Step-by-step explanation:
you have to times then divide
Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128
The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
Limit of a functionGiven the following limit of a function expressed as;
[tex]\lim_{x \to 0} f(x)=4[/tex]
We are to determine the value of the function
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]
This can also be expressed as
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]
Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
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A triangle has a base of 53 and a height of 21. What is the hypotenuse?
Answer:
Approximately 57
Step-by-step explanation:
The Pythagorean theorem says that a^2+b^2=c^2, where a and b are the base and height, while c is the hypotenuse. 53^2+21^2=2809+441=3250. The square root of 3250 is 57.008771255, which rounded to the nearest tenth is 57. Hope this helped!
Answer:
57.008771255 or 57
Step-by-step explanation:
53^2+21^2=57.008771255^2
A typewriter types 750 words per hour. If she works for 8 hours a day, find the number of words she type
in a day.
Answer:
8,000 words
Step-by-step explanation:
If a typewriter types 750 words per hour and she types 8 hours a day she would write 8,000 words a day because 750 x 8 = 8,000.
Order these numbers from least to greatest. 6.2052, 6.2, 6.75, 6.705
Answer:
6.2 , 6.2052 , 6.705 , 6.75
Step-by-step explanation:
Least to Greatest!
Find the mean of a student test scores if he earned 5, 93, 85, 90 and 91 points on five tests
Answer:
72.8
Step-by-step explanation:
A jar contains 8 red marbles, 6 blue ones, and 6 yellow ones. One marble is chosen at random. The color is
recorded in the table, and then it is returned to the jar. This is repeated 40 times.
Red Blue Yellow
11
11
18
Answer:
Step-by-step explanation:
Comment
The theoretical probabilities are
Red: 8/20 = 0.4
Blue:6/20 = 0.3
yellow:6/20 = 0.3
The experimental Probabilities are
Red: 11/40 = 0.275
blue: 11/40 = 0.275
Yellow: 18/40=0.45
Both probabilities add to 1 as they should
The yellow is the highest disproportionate answer and it really shouldn't be. If anything it should be red. (0.45 > 0.4 comparing yellow experimental with red theoretical. The yellow is way more than it should be)
The number of trials is double the number of marbles in the jar. The number of trials would be double for each color in the jar. Both blanks are double.
Can someone please help? This is sooooooooo hard!!! :(
Answer:
BD = BE
Step-by-step explanation:
If BD = BE , angle BED = angle BDE.
Because they are in a same triangle.
And also they are congruent.
The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry?
y = x + 1
y = x - 1
y = x
y = -x + 1
Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.
How to determine the equation of the triangle's line of symmetry?First of all, we would determine the midpoint where the line of symmetry passes through points A and B:
Midpoint at point A = (3 + 7)/2 = 10/2 = 5.
Midpoint at point B = (6 + 2)/2 = 8/2 = 4.
Point D = (5, 4)
Mathematically, the standard equation of a line is given by y = ax + b.
D(5, 4); 4 = 5a + b ....equation 1.
C(4, 3); 3 = 4a + b ....equation 2.
Subtracting eqn. 2 from eqn. 1, we have:
1 = a
Next, we would find the value of b:
4 = 5a + b
4 = 5(1) + b
b = 4 - 5
b = -1.
Therefore, the equation of the triangle's line of symmetry is given by:
y = ax + b
y = x(1) + (-1)
y = x - 1.
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Joe started 125 miles in 5 hours. How many miles would travel in 1 hour
Answer:
Hope this helps :D
Step-by-step explanation:
Explanation on picture
A motorbike was discounted by 10% and sold for $5220. What was the cost of the motorbike before the discount was applied?
In a coin box there are 20-cent, 50-cent and $1 coins. The number of 20-cent coins is 2x, the number of 50-cent coins is y and the number of $1 coins is 4x. If the total value of the coins is $58.80, what is the total number of coins?
1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
The number of ways that Grant can arrange 3 of his 10 plants on a window ledge is 120 ways
How to solve the combination problem?The number of ways that Grant can arrange 3 of his 10 plants on a window ledge will be:
= 10!/(10! - 3!)3!
= 10!/7!3!
= (10 × 9 × 8)/(3 × 2)
= 120
When the parade organizer received 8 entries for floats, the number of ways that he can arrange 4 floats out of the 8 entries will be:
= 8!/(8! - 4!)4!.
= 8!/4!4!
= (8 × 7 × 6 × 5)/(4 × 3 × 2)
= 70
4! in expanded form will be:
= 4 × 3 × 2
= 24
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The radius of a circle is 7 mm. What is the area.
Answer:
A= 153.94 mm
Step-by-step explanation:
A = πr²
A=π(7)²
A= 153.94 mm
Please help me, I have more
Answer:
i dont have it the answer ofvthis
Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)
B; the y axis is what moves up and down