Answer:
1 hot dog costs $3.50
Step-by-step explanation:
Represent Hot dog with x and Hamburger with y
Gregory's purchase:
[tex]5x + 2y = 27[/tex] --- (1)
Hart's purchase:
[tex]3x + 4y = 29.5[/tex] ---- (2)
Required
Find x
To do this, we'll make use of the elimination method of solving simultaneous equation.
Start by multiplying (1) by 2
2 * ([tex]5x + 2y = 27[/tex])
This gives:
[tex]10x + 4y = 54[/tex] ---- (3)
Subtract (2) from (3)
[tex]10x + 4y = 54[/tex]
- ([tex]3x + 4y = 29.5[/tex])
-------------------------
[tex]7x = 24.5[/tex]
Solve for x
[tex]x = \frac{24.5}{7}[/tex]
[tex]x = 3.5[/tex]
Hence:
1 hot dog costs $3.50
Write the following in standard form.
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
Please help me with this it’s 8 grade
Answer:
The correct answer is option B.
Step-by-step explanation:
Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.
In the slope-intercept form, which variable
represents the slope/measure of change?
Step-by-step explanation:
Hey there!
We know that the slope intercept is; y = mx+b.
Where "m" represents the slope. And "b" represents the y-intercept.
Example:
If the question is as; y = 3x +8
Then your slope of the slope intercept form is "3" where as "8" is y-intercept.
So, the variable"m" represents the slope.
Hope it helps...
Step-by-step explanation:
Hey there!
We know that the slope intercept is; y = mx+b.
Where "m" represents the slope. And "b" represents the y-intercept.
Example:
If the question is as; y = 3x +8
Then your slope of the slope intercept form is "3" where as "8" is y-intercept.
So, the variable"m" represents the slope.
Hope it helps...
How much was janes refund this year?
a 6835
b nothing
c 4190
d 2642
where do I graph it at ??
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
I have attached a picture of the graph.
Step-by-step explanation:
So for 3 miles, they are charged $6 and for 5 miles, $8. This means that for 5-3 = 2 miles, they are charged $8-$6 = $2.
2 miles = $2
1 mile = $1
We will apply this charging rate for 3 miles since we know there is a flat fee added into it too.
3 miles = $3
Flat fee = $6 - $3
= $3
That means that at 0 miles, there is a flat fee of $3, and so the graph would start at 3 on the x-axis even when the y-axis (representing the miles) is at 0 (0 miles).
You also know that for each mile, there is an increase of $1, so the graph should increase upwards at 1 dollar per 1 mile. I have attached the graph for you.
Answer:
Graph at (3, 6) and (5,8) and YES they are proportional
(don't forget to correctly graph the x and y)
Giovanni spent a total of $13.75 bowling. He rented bowling shoes for $2.50 and bowled 3 games. Each game cost the same amount. Create an equation that can be used to determine g, the cost of dollars of each bowling game.
Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?
Answer:
$475.17
Step-by-step explanation:
Step one:
given data
rate= 3.5% = 0.035
final amount A= $670
time= 10 years
Required
The principal invest P
Step two:
A= P(1+r)^t
substitute
[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]
divide by 1.41
[tex]P= 670/1.41\\\\P=475.17[/tex]
The invested principal is $475.17
Answer:
500
Step-by-step explanation:
its on delta math
Simplify 1/2+2/3-1/4
Answer:
11/12
Step-by-step explanation:
An orange grove has 858 trees. There are 33 rows each with the same number of trees
Hon many trees are in each rows?
Answer:
26
Step-by-step explanation:
If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26
Answer:
26
Step-by-step explanation:
858 divided by 33 equals 26.
Justin has 2 red marbles, 7 blue marbles, and 5 green marbles. How many total marbles does Justin have?
Answer:
14
Step-by-step explanation:
2+7+5
Answer:
14 total marbles.
Step-by-step explanation:
I'm pretty sure we are supposed to use addition, so
2 red marbles + 7 blue marbles + 5 green marbles = 14 marbles
Hope this helps!
What is the y-intercept of this line?
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).
Answer:
3
Step-by-step explanation:
Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!
A boat took 2 hours to travel 24km down a river. And 3 hours to travel back upstream. Find the spread of the boat in still water at the speed of the current.
please help! i’ll mark brainliest!!!
Answer:
(6+x)(5+x)
Step-by-step explanation:
a=zm+z solve for m please help!!!!!
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5, -8): y = - 3x + 2
Given:
The equation of line is
[tex]y=-3x+2[/tex]
To find:
The equation of line parallel to given line and passes through (-5,-8).
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get
[tex]m=-3[/tex]
Slope of given line is -3.
Slope of two parallel lines are same. So, the slope of parallel line is -3.
Equation of line passes thorough the point (-5,-8) with slope -3 is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the line.
[tex]y-(-8)=-3(x-(-5))[/tex]
[tex]y+8=-3(x+5)[/tex]
[tex]y+8=-3x-15[/tex]
Subtract 8 from both sides.
[tex]y=-3x-15-8[/tex]
[tex]y=-3x-23[/tex]
Therefore, the equation of required line is [tex]y=-3x-23[/tex].
what is the equation of a line that is parallel to the x-axis and is 3 units below the x-axis
A.x=3
B.x=-3
C.y=3
D.y=-3
Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll
Answer:
Its C I just did this
Step-by-step explanation
Help please thank you
4x + 5 = 6x - 2 need help answering this
Answer:
[tex]x=\frac{7}{2}[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the image below.
Hope this helps! :)
Answer:
hi here is answers
Step-by-step explanation:
Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form x = 3 1/2
hope this helps, have a great day
express 0.0003 in Scientific notation by counting decimal places
Answer:
When we write numbers in scientific notation, we must put the first non-zero digit ahead of the decimal. In this case, the decimal would be behind the 3. Because we moved the decimal places four times to the right, our exponent will be 4. Thus,
3.00 x 10⁻⁴
we can express 0.0003 as 3 × 10⁻⁴ in scientific notation.
To express 0.0003 in scientific notation, we count the number of decimal places from the original number until we have a single non-zero digit before the decimal point. In this case, we have four decimal places before the non-zero digit (3).
Thus, we can express 0.0003 as 3 × 10⁻⁴ in scientific notation. The negative exponent (-4) indicates that we move the decimal point four places to the left to obtain the original value.
In summary, by counting the decimal places, we can express 0.0003 as 3 × 10⁻⁴ in scientific notation.
Learn more about scientific notation here
https://brainly.com/question/5400161
#SPJ6
NEED HELP ASAP!!!! PLEASE HELP!!!!
Answer:
1/9a
Step-by-step explanation:
i used math.way lm.ao hope it helps
The surface area of Earth is approximately 5.1 x 108 km2. The surface area of Jupiter is approximately 6.2 x 1010 km2. Approximately
how many times larger is Jupiter's surface area than Earth's surface area?
A 8
B 12
C 80
D 120
Answer:
The correct answer is: Option D: 120
Step-by-step explanation:
Given that
[tex]S_E = 5.1*10^8\ km^2\\S_J = 6.2*10^{10}\ km^2[/tex]
In order to find how much larger is the area of Jupiter we will divide the surface area of Jupiter by the Surface area of Earth. First of all we will have to equate the exponents of 10 so that the cutting can be done
Now,
[tex]= \frac{S_J}{S_E}\\= \frac{6.2*10^{10}}{5.1*10^8}[/tex]
10^10 can be written as: 10^8*10^2
[tex]=\frac{6.2*10^2*10^8}{5.1*10^8}\\= \frac{6.2*100}{5.1}\\=\frac{620}{5.1}\\=121.5686[/tex]
Closest to 121 is 120.
Approximately Jupiter's surface area is 120 times larger then Earth's surface area.
Hence,
The correct answer is: Option D: 120
Simplify the following square root:
240
O 1615
O The square root cannot be simplified.
0 4/15
4 6/7 + 3 5/7 please help me
Answer: The answer is 60/7 or in mixed number form it is 8 4/7...
to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7
34+26/7
60/7
decimal form: 8.571428
mixed number form: 8 4/7
Hope this helps... Stay safe and have a great day/night!! :D
Answer:
about 8.6, or 8.57142857143
Step-by-step explanation:
4 6/7 + 3 5/7
= 28+6/7 + 21+5/7
= 34/7 +26/7
= 60/7
= about 8.6
For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number.
Answer: 114%
Step-by-step explanation:
From the question, we are informed that it usually takes Roger's father 35 minutes to get to work but that after the snowstorm it took him an hour and 15 minutes to get to work.
We should first convert 1 hour, 15 minutes to minutes. Since 60 minutes = 1 hour; Therefore, 1 hour, 15 minutes = 60 minutes + 15 minutes = 75 minutes.
The percent increase in his commute time to work will then be:
= [(75 - 35) / 35] × 100
= 40/35 × 100
= 114.28571%
= 114%
The percentage increase is 114%.
(–3i) (4i)(–5i)
a
60i3
b
60i
c
60
d
−60i
Answer: -60i
Step-by-step explanation:
(-3i) (4i) = -12i^2 = 12 because i^2 = -1
then lastly
12 (-5i) = -60i
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year. If no deposits or withdrawals are made during the year, how much money will be in her account after one year?
Answer:
FV= $1,545
Step-by-step explanation:
Giving the following information:
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.
To calculate the nominal value of the account after one year, we need to use the following formula:
FV= (P*r*t) + P
FV= future value
P= principal
r= interest rate
t= 1
FV= (1,500*0.03*1) + 1,500
FV= $1,545
x^2y^4/z^3 / x^3z^2/y
Answer: y3/xz
Step by step is provided in the screenshot below
Can someone help me on this
Answer:
a=3*3*3*3*3=243
b=2*2*2*2=16
c=10*10*10=1000
Step-by-step explanation:
determine the solution you would have if you get 3=1/3
A.no solution
B.one solution
C.infinte solution=identity
Answer:
C
Step-by-step explanation:
im in harvard
the answer is c hope it helps