Two cheeseburgers and one small order of fries contain a total of 1320 calories. Three cheeseburgers and two small orders of fries contain a total of 2170 calories. Find the caloric
content of each item.
Answers
Answer:
cheeseburger: 470 caloriesfries: 380 caloriesStep-by-step explanation:
The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.
__
setupLet x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...
2x +y = 1320
3x +2y = 2170
__
solutionSubtracting the second equation from twice the first gives ...
2(2x +y) -(3x +2y) = 2(1320) -(2170)
x = 470
Using the first equation, we can find y:
y = 1320 -2x = 1320 -2(470) = 380
__
A cheeseburger has 470 calories; a small order of fries, 380 calories.
_____
Attached is a graphing calculator solution.
Related Questions
How do I turn this 10(0j + 40 + 4j) into a verbal expression?
I NEED HELP!!!!1
Answers
Answer:
See below
Step-by-step explanation:
You could say "10 times the sum of 0j, 40, and 4j" because that is exactly what you are doing in the algebraic expression.
The area of a square-shaped rug is 81 sq feet. If the rug is 9 ft long, what is its perimeter? Explain.
Answers
how?: if it’s a square then the length and width are the same which given the length is 9ft then the width is 9ft. now for perimeter, it’s adding all the sides or 4x which will give you 36 ft
What did you notice about both of your triangles
Answers
Answer:
they look similar but one of them is upside down.
Ron made 16 out of 25 baskets from the foul line. Using this data, predict the
number of baskets he will make from the foul line if he shoots 200 times?
A 64
r B. 72
C. 92
D. 128
Answers
Answer:
D. 128
Step-by-step explanation:
16 out of 25 is a 64% ratio.
Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.
Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.
Knowing this the answer is D. 128.
Hope this helps. Brainliest would be appreciated.
Answer:
D. 128
Step-by-step explanation:
[tex]\frac{16}{25} =\frac{x}{200}[/tex]
cross multiply:
[tex]25x = 3200[/tex]
divide both sides by 25:
x = 128
Factor −4 out of −24a−44.
Answers
Answer:
6a+11
Step-by-step explanation:
-24a-44/-4
=
6a+11
have a wonderful day :))
Answer:
-4(6a + 11)
-Step-by-step explanation:
−24a − 44 if −4 is factored out than...
-4 times ____ = -24a
-4x = -24 → divided both sides by -4
-4x / -4 = -24 / -4 → x = 6
-4 times 6 = -24a
-4 times ____ = -44
-4x = -44 → divided both sides by -4
-4x / -4 = -44 / -4 → x = 11
-4 times 11 = -44
combine: -4 x 6a - 4 x 11
1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.
Answers
Answer:
c
Step-by-step explanation:
The multiplicative inverse of number 0 does not exist.
When taking the multiplicative inverse of 0, we get :
[tex]\frac{1}{0}[/tex]This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not existcan somene answer this
Answers
Answer:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute
[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]
Subtract 121 from both sides to isolate B
[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]
Take the square root of both sides to isolate b
[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]
Solve this linear equation. Show all workings
Answers
[tex]~~~~~~3x^2 +2x -1 = 0\\\\\implies 3x^2 +3x -x -1 = 0\\\\\implies 3x(x+1) - (x+1)=0\\\\\implies (x+1)(3x-1) = 0\\\\\implies x = -1,~~ x = \dfrac 13[/tex]
I am in dire need. helpp
Answers
Calculate the value of p in the diagram below
Answers
Answer:
40.5
Step-by-step explanation:
(n-2)*180
(7-2)*180=5*180=900
10p+135+149+121+90=900
10p=-495+900=405
p=40.5
After stepping into a room with unusual lighting, Reagan's pupil has a radius of 1 millimeter. What is the pupil's area?
Use 3.14 for .
Answers
So, multiplying the radius by itself is 1, and then multiplying 1 by PI is the same as 3.14 .
Question 1
Which is the largest value?
Answers
Answer:
the third option 6 squareroot of 5 would be the largest value
Step-by-step explanation:
3 squareroot of 7 is also 63 squareroot
5 squareroot of 3 is also 75 squareroot
6 squareroot of 5 is also 180 squareroot
2 squareroot of 8 is also 32 squareroot
Of 400 randomly selected people in the city of lyon, france, 60 people had the first name hugo.
which of these does not represent inferential statistics?
a. 15% of the people who live in france have the first name hugo.
b. 15% of the people who live in europe have the first name hugo.
c. 15% of the people surveyed have the first name hugo.
d. 15% of the people who live in lyon have the first name hugo.
Answers
The statement in this problem that does not represent a inferential statistic is given by:
c. 15% of the people surveyed have the first name hugo.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).
In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.
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9. Find the midpoint of the segment having endpoints (4.1,−6.6) and (6.6,−4.1).
Answers
Answer: [tex]\displaystyle (5.35, -5.35)[/tex]
Step-by-step explanation:
We will use the midpoint formula. See attached or view below.
What does this formula do? We are, essentially, finding the average for the x-values and y-values.
[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]
[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]
[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]
[tex]\displaystyle (5.35, -5.35)[/tex]
The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additional 25 degrees. What is the measure of the angle?
A. 205°
B. 215°
C. 155°
D. 25°
HELP!!
Answers
The measure of the angle is 205°. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
There are 4 quadrants and each quadrant has a measure of 90° angle.
The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.
90° + 90° = 180°
The arm has been in the third quadrant due to the additional 25° rotation.
180° + 25° = 205°
The measure of the angle is 205°.
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please do all of number 2 please help (find the angle measurements that are not given
Answers
The measures of the missing angles are as follows:
a. 145°
b. 43°
c. 36°, 36° and 144°
How to find angles when lines intersect?When two lines intersect, angle relationship can be formed. The angles can be adjacent angles, vertical angles and many more.
Therefore,
a. 180 - 35 = 145 degrees( angle on a straight line)
b. 180- 47 - 90 = 43 degrees(angles on a straight line)
c. 144 degrees (vertical angles), 36 degrees and 36 degrees(angles on a point is 36 degrees)
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Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$
Answers
The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.
These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters. what is the height of cylinder b? h = cm
Answers
Answer:
Your answer is 11CM
Step-by-step explanation:
The height of cylinder b is 11 cm.
How to measure the volume of a cylinder?The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.
The formula for the volume of a cylinder is given by:
[tex]V = \pi.r^2.h[/tex]
Where:
V: volumeπ (Pi): 3r: radiush: heightIn this case, as the cylinders are congruent, both will have the same radius, thus:
[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]
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verify the identity
sin^3 0 +cos^3 0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Answers
Answer:
See below for proof of identity.
Step-by-step explanation:
Since both terms of [tex]\sin^3\theta+\cos^3\theta[/tex] are perfect cubes, we can use the formula [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex] where [tex]a=\sin\theta[/tex] and [tex]b=\cos\theta[/tex]:
[tex]\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta[/tex]
Thus, the identity is proven.
Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle is 10 square units, show that x satisfy the equation x2 + 2x - 23 = 0 Solve above equation and find the value of x to the nearest whole number and calculate the perpendicular height of the triangle. (Take V6 = 2.45)
Answers
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, in our case we know this is 10 :
(x+3)(x-1)/2 = 10
(x+3)(x-1) = 20
x² - x + 3x - 3 = 20
x² + 2x - 23 = 0
that is exactly the provided equation. so, yes, x satisfies it.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -23
x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =
= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =
= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =
= -1 ± 2×sqrt(6)
x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4
or using sqrt(6) ≈ 2.45
= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4
x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6
or using sqrt(6) ≈ 2.45
= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6
x2 would give us negative lengths for the triangle, which does not make sense.
so, x = 4 is our solution.
and that makes the height x-1 = 4-1 = 3 units.
Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44
9 18 27 ?
A: 38
B: 36
C: 35
D: 37
Answers
Answer:
B
Step-by-step explanation:
You are going to add 9 to 27 because you are counting by nines on the bottom.
-0.5 = - m/6=
First answer get to be brainliest!
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
-0.5=-m/6. what is m?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First, multiply both sides by 6 to get rid of the fraction:-
▪︎ -0.5*6=-m/6*6
On the RHS, the 6's cancel:-
◆-0.5•6=-m
Multiply:-➪ [tex]\it{-3=-m}[/tex]
Divide by -1 on both sides:-➪ [tex]\it{3=m}[/tex]
❒So we conclude that the value of m is 3.
✥ Good luck with your studies. ✥- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
m = 3
Step-by-step explanation:
⇒ -0.5 = - m/6
Divide both sides by -1.
⇒ -0.5/-1 = -m/(6 × -1)
⇒ 0.5 = m/6
Multiply both sides by 6.
⇒ 0.5 × 6 = m/6 × 6
⇒ m = 3
Nan wrote each letter in the word ILLINOIS on a separate slip of paper. She put
the slips in a bag. What is the probability of her drawing a slip that is labeled
with a vowel?
A 1/8
B. 218
C. 3/8
D. 4/8
E. 5/8
Answers
Answer:
D. 4/8
Step-by-step explanation:
To find probability, you simply divide what you are looking for over the total. In the word, ILLINOIS, you have 4 vowels, and 8 letters total, so the probability of finding a vowel would be 4/8.
Find the gradient of the graph shown
Answers
Points on graph (0,5) and (-5,0)
X is -5 - 0 = -5
Y is 0 - 5 = -5
Y/x = -5/-5
Slope is 1
Can someone help please
Answers
Answer:
-18a⁸
Step-by-step explanation:
-2a²(-3a³)²
-2a²*9a⁶ (Opening the square)
-18a⁸
How do you find the quadratics
Answers
Answer:
Put all terms to the side of the equals side, and make sure there are none on the other side. That would be unbalanced if there were terms on the opposite side.
Factor out the problem.
Set each factor of the problem equal to zero.
Solve each new equation.
Check to see if it makes sense by putting your new equation into the original equation.
HELP!!
Find the lateral area of the pyramid to the nearest whole number
85 m2
77 m2
47 m2
51 m2
literally ur the best human if u answer this :)
Answers
Answer:
The area of the pyramid is 51 m²
Answer:
The answer is 51m
Step-by-step explanation:
is 2.06532 rational or irrational?
Answers
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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Which inequality can be used to represent this scenario? Sarah has a $50 gift card for her favorite online makeup delivery service. The delivery service has a one time fee of $3.85 and the subscription is $10.50 every month. How many months of this service can Sarah subscribe to with her gift card?
Answers
Answer:
50 = 3.85 + 10.5m
Step-by-step explanation:
50 = Total
m= months
A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.
please answer this for me
Answers
Answer:
600 + 161 = 761
Step-by-step explanation:
599 + 162 = 600 + 161 = 761
