Answer is $2.50
How to solve system of two equations:
First of all, we should get one variable in terms of other variable in one equation and substitute this variable in another equation. And solving that we get two variables value.
If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.
Here,
let's consider price of hot dogs = x and price of hamburgers = y
then, 164x + 74y = $706 --- ( 1 )
and 256x + 61y = $884 --- ( 2 )
Now, from eq - 1 we get x = ($706 - 74y) / 164
Substitute this x value in eq - 2,
256($706 - 74y)/164 + 61y = $884
=> $706*256 - 74y*256 + 61y*164 = $884 * 164
=> 180,736-8940y = 144,976
=> 180,736 - 144,976 = 8940y
=> 35,760/8940 = y
=> y = $4.
By substituting in eq - (1) we get x = $2.5
So, The price of hot dog = $2.5
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Answer:
$2.50
Step-by-step explanation:
find the value of x for which
З(2^x-3) = 384
Answer:
x=log2(131)
Step-by-step explanation:
3(2^x-3)=384
x=7.03342
i don't know this question but i have made it by photomath app.
you can get it from playstore
A pail contains a certain amount of water. After Peter used it to fill a 1.5 liter can, a 750 milliliter bottle, and a 2 liter 250 milliliter tin, he realized that he had a liter of water left in the pail. How much water was in the pail at first? Write your answer in liters and milliliters. Show your work.
Answer:
Let the amount of water at beginning be x
x-1.5-0.750-2.250=1
x=5.5 litre
Step-by-step explanation:
Therefore there was 5 litre 5 mililters of water in the pail.
Answer:5500 ml or 5.5 liters
Step-by-step explanation:
First, we should note that there are 1000 milliliters in 1 liter of liquid.
So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.
To find the total amount, we find the sum of all the milliliters:
1500 + 750 + 2250 + 1000 = 5500 ml
Again, we know that there are 1000 milliliters in 1 liter of liquid, so:
= 5.5 liters
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
What type of table has the largest area
Answer:
The Rectangular Table Has The largest area of 1460 in^2
the missing exponent 1,728 =12 (?)
Answer:
x=144
Step-by-step explanation:
A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour. What is this number in word form?
Seven hundred one thousand, two hundred eight
Seven hundred ten thousand, twenty-eight
Seven hundred one thousand, twenty-eight
Seven hundred ten thousand, two hundred eight
701,208 is in word form is Seven hundred one thousand, two hundred eight
What is Number system?A number system is defined as a system of writing to express numbers.
Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour
We need to write the number in sentence form
In the given number 8 is at units place
0 at tens place
2 is at hundred place
1 is at thousand place
0 is at ten thousand place
7 is at hundred thousand place
701, 208 is Seven hundred one thousand, two hundred eight
Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight
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What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
Engineering The equation for the cross section of a spotlight is y+5= 1/2x^2.
measured in inches. The bulb is located at the focus. How far is the bulb from the
Vertex of the cross section?
Answer:
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Step-by-step explanation:
From the question we are told that
Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]
Generally the equation can be rewritten mathematically as
[tex]y+5= \frac{1}{2}x^2[/tex]
[tex]x^2=(y+5)2[/tex]
[tex](x-0)^2=(y-(-5))2[/tex]
Generally the equation of a parabola with vertical axis is mathematically given by
[tex](x - h)2 = 4p(y - k)[/tex]
Therefore comparing equations
[tex](x-0)^2=(y-(-5))2[/tex]
[tex]4p=2[/tex]
[tex]p=2/4[/tex]
The distance from the bulb to the vertex of the cross section is given by
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
Greatest Common Factor:The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
Distributive property:It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
i givvvveeeee brainlilsttttttt
Answer:
thanks
Step-by-step explanation:
your welcome
what is 5x + 4x
and find the coefficient
Answer:
9x
9 is the coefficient
Step-by-step explanation:
5x + 4x
These are like terms (they both have the same variable (x))
5x + 4x = 9x
The coefficient is 9, since it's the number in front of a variable.
Hope this helped!
12p+ 15 - 13 - 12p
And show me how you got the answer
Answer:
2
Step-by-step explanation:
According to me, you would just have to combine like terms and simplify them as much as possible.
12p + 15 - 13 - 12p
12p - 12p + 15 - 13
0 + 15 - 13
0 + 2
2
Hope this helps :D
if three distinct numbers have a sum of 10 and a product of 20, what is their median
Answer:
gfdsgfds
Step-by-step explanation:
fdgdsf
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
I don’t know the answer to this question, I need help the question is in the picture!
Answer:
it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of
hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
O
0 1 2 3 4 5 6 7
8
9 10
Plot B
0 1
2
3 4 5
7
8 9 10
Which statement compares the shape of the dot plots?
Mark this and return
Save and Exit
Sun
Answer:
I think its B
Step-by-step explanation:
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
i can you help me build the equation
i can graph it though :)
Answer:
x + 5y ≤ 30
Step-by-step explanation:
The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.
Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.
B) How many gallons of gasoline are left after you drive 120 miles?
Answer:
A) [tex]y=-\frac{1}{20}x+20[/tex]
B) 14 gallons of gasoline
A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.
The given table is -
Miles [m] Gallons [g]
0 20
20 19
40 18
60 17
We can write the linear function as -
y = mx + c
We can write the slope as -
m = {(19 - 20)/(20 - 0)}
m = (- 1/20)
At [x] = 0, then [y] = 20. So, the equation will be -
y = (-1/20)x + 20
y = - (1/20)x + 20
At [x] = 120 miles -
y(120) = (-1/20 x 200) + 20
y(120) = - 10 + 20
y(120) = 10 gallons
Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
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PLSSSSS HELP I HAVE BEEN STUCK ON THIS FOR THE PAST HOUR!!!!!!!!!!!!!!!!!!!!!!!!!
Take a factor out of the square root and simplify the expression:
[tex]-0.05*\sqrt{28,800}[/tex]
Answer:
[tex] - 6 \sqrt{2} [/tex]
Step-by-step explanation:
simplify
[tex] \sqrt{28800} [/tex]
to
[tex]120 \sqrt{2} [/tex]
then
-0.05 × 120 = -6
then we have our answer
-6√2
What is the reason that absolute value is always written as a positive?
Absolute Value is talking about numbers so it must be positive
Absolute Value is like a clock it has only positive numbers
Absolute value does not always have to be positive
Absolute value is talking about distance (Distance from zero); distance is always
measured by positive numbers.
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
Please answer this correctly without making mistakes
Answer:
5 tons and 8 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds.
40 tons is equal to 80000 pounds (40*2000)
80000+64=80064
80064/8 = 10008
10008 is equal to 10000+8
10000/2000 = 5
5 tons and the leftover 8 is pounds
Hope I was able to help! Good Luck!
Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?
Answer:
P (34<X<39) = 0.5899
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 37, \sigma = 3[/tex]
What is the probability that a cat would return to it's dish between 34 and 39 times a day.
This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So
X = 39
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39 - 37}{3}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 37}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.7486 - 0.1587 = 0.5899
So
P (34<X<39) = 0.5899
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Y = 0 , X = - 3/2
Step-by-step explanation:
Answer:
just give the brainliest to him
Step-by-step explanation:
Which expression has a value greater than 4^3?
Answer:
(-3)^4
Step-by-step explanation: We just have to evaluate
So, the only expression that exceeds 4^3 is (-3)^4:
How do I find angle A?
Angle A (6x +11) = 53
12x - 7 = 77
Can anyone solve this for me?
Answer:
multiply, 12 inches per foot
Step-by-step explanation:
4x +4< 9x +8 Reduce any fraction to the lowest term don’t know your number and don’t use mixed fraction
Answer:
x < - 4/5
Step-by-step explanation:
Given the inequality:
4x +4< 9x +8
Collect like terms :
4x - 9x < 8 - 4
-5x < 4
Divide both sides by - 5
-5x / - 5 < 4 / - 5
x < - 4/5
is the relation shown below a function?
Answer:
No it's not a function, because the domain 20 repeats.