Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
If Robin typed 15 characters in 5 seconds, 30 characters in 10 seconds, and
45 characters in 15 seconds, how many characters do you think she would
type in 20 seconds?
A. 50
B. 35
C. 90
D. 60
Answer:
robin would type D 60 characters in 20 seconds
If Jack worked 31.5 hrs each week,
a) how many hours would he have worked in an entire year?
Calculation :
Answer:
Answer:
11497.5
Step-by-step explanation:
31.5x365=11497.5
Answer:
1638 hours
Step-by-step explanation:
Help plzzzzzzzzzzzzzz
Answer:
side HA and side AT
Step-by-step explanation:
The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more than the first side. What is the length of each side?
Answer:
The length of each side of triangle is:
First side of triangle = 21 inches
Second side of triangle = 16 inches
Third side of triangle = 28 inches
Step-by-step explanation:
Perimeter of triangle = 65 meters
Let
First side of triangle = x
Second side of triangle = x-5 (The second side is 5 meters less than the first side.)
Third side of triangle = x+7 (The third side is 7 meters more than the first side.)
We need to find length of each side.
The formula used is:
[tex]\mathbf{Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle}[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\65=x+x-5+x+7\\65=3x+2\\Switching\:sides\\3x+2=65\\Subtracting\:2\:from\:both\:sides\\3x+2-2=65-2\\3x=65-2\\3x=63\\Divide\:both\:sides\:by\:x\\\frac{3x}{3}=\frac{63}{3}\\x=21[/tex]
So, We get value of x = 21
Now, finding the length of each side of triangle:
First side of triangle = x = 21
Second side of triangle = x-5 =21-5 =16
Third side of triangle = x+7 = 21+ 7 = 28
The length of each side of triangle is:
First side of triangle = 21 inches
Second side of triangle = 16 inches
Third side of triangle = 28 inches
how do you find the slope, I really need help.
Answer:
-1/10
Step-by-step explanation:
its down 1 and right 10 so you know the slope is -1/10
(can I get brainliest please)
MATH HELP!!!! I HAVE POSTED THIS QUESTION AND NO ONE ANSWERS! 15 POINTS!!!
Answer:
A
Step-by-step explanation:
in order to find the answer take into mind what the question is asking for.
The equation has to pass the point (12,3) and has to be parallel to y=(4/3)x+5.
since the equations have to be parallel you can take out D since it has the reciprocal of the slope of the original equation.
You could also take out the negative equation C since the original one is not negative.
then you would have to graph the equations and would find that A is the answer because in order to have a point (12,3) you need to either start from the negative y-axis and ascend or from the positive axis and descend but B doesn't go down it goes up since it has a positive y value and has a positive slope. So in conclusion the answer would be A.
[tex]y = \frac{4 }{3} x - 13[/tex]
which expression represents f[g(x)] if f(x)=x^2 +3 and g(x)=-x+1?
(x+1)^2 + 3
you just put the value of g(x)in f(x)
1 2/5m - 3/5(2/3m+1)
Answer:
step by step
STEP
1
:
Equation at the end of step 1
((((3•(m3))+5m2)-5m)+1)
(———————————————————————•m)-1
3
STEP
2
:
Equation at the end of step
2
:
(((3m3+5m2)-5m)+1)
(——————————————————•m)-1
3
STEP
3
:
3m3 + 5m2 - 5m + 1
Simplify ——————————————————
3
Checking for a perfect cube :
3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 3m3 + 5m2 - 5m + 1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -5m + 1
Group 2: 5m2 + 3m3
Pull out from each group separately :
Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)
Group 2: (3m + 5) • (m2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 8.00
-1 3 -0.33 3.11
1 1 1.00 4.00
1 3 0.33 0.00 3m - 1
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
3m3 + 5m2 - 5m + 1
can be divided with 3m - 1
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 3m3 + 5m2 - 5m + 1
("Dividend")
By : 3m - 1 ("Divisor")
dividend 3m3 + 5m2 - 5m + 1
- divisor * m2 3m3 - m2
remainder 6m2 - 5m + 1
- divisor * 2m1 6m2 - 2m
remainder - 3m + 1
- divisor * -m0 - 3m + 1
remainder 0
Quotient : m2+2m-1 Remainder: 0
Trying to factor by splitting the middle term
3.5 Factoring m2+2m-1
The first term is, m2 its coefficient is 1 .
The middle term is, +2m its coefficient is 2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
3
:
(m2 + 2m - 1) • (3m - 1)
(———————————————————————— • m) - 1
3
STEP
4
:
Equation at the end of step 4
m • (m2 + 2m - 1) • (3m - 1)
———————————————————————————— - 1
3
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
1 1 • 3
1 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3
———————————————————————————— = ———————————————————————
3 3
Polynomial Roots Calculator :
5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3
See theory in step 3.3
In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -11.00
-1 3 -0.33 -4.04
-3 1 -3.00 57.00
1 1 1.00 1.00
1 3 0.33 -3.00
3 1 3.00 333.00
Polynomial Roots Calculator found no rational roots
Final result :
3m4 + 5m3 - 5m2 + m - 3
———————————————————————
3
Terms and topics
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
Answer: 4
Step-by-step explanation: 4 was the biggest denominator in that equation. so if we multiply by 4 on all the terms, all the denominators will go away. we will not have any more fractions!
Determine whether the equation has no solution, one solution, or infinitely many solutions.
-2(11-12x)= -4( 1 -6x)
b) 5z - 1
when z = 6
2
Answer:
309
Step-by-step explanation:
5z-1, z=62
5(62)-1
310 - 1
309
You and your friend go to tacos Galore for lunch. You order 3 soft tacos and 4 burritos and your bill comes out to $18.00. Your friend's bill is $10.00 for two soft tacos and two burritos whats the cost of the soft tacos and the cost of a burrito
Answer:
Soft Tacos = 2
Burritos= 3
Step-by-step explanation:
You
3 x 2 = 6
18 - 6 = 12
12/4= 3
You spent 6$ on soft tacos and 12$ on burritos.
Your friend
2 x 2 = 4
10-4 = 6
6/2 = 3
Your friend spent 4$ on soft tacos and 6$ on burritos.
I hope I explained this well.
Зr - 7 = 11
What is the answer
The temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer. It may reach a low of -225 degrees Fahrenheit at the poles. Which expression gives the difference between those temperatures?
Answer: See explanation
Step-by-step explanation:
Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.
The expression that gives the difference between those temperatures would then be calculated as:
= 70°F - (-225°F)
= 70°F + 225°F
= 295°F
Solve the Inequality
9w-4w+6≥1+5w
Answer: All real numbers :)
I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS
Answer:
That is igneous
Step-by-step explanation:
Paul joins a gym that has an initial membership fee of $75 and a monthly cost of $40. How much will they have paid after 4 months? *
please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2
Answer:
7
Step-by-step explanation:
5x4=20
20/2=10
17-10=7
Answer:
your answer is 7
Step-by-step explanation:
17-5×4÷2
P- parenthesis
E- Exponents
M- Multiplication
D- Divide
A- Add
S- Subtract
David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?
Answer:
12 miles per hour
Step-by-step explanation:
Find the missing length of the triangle.
C=_Km
Answer:
c = 29km
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841
[tex]\sqrt{841}[/tex] = 29
-5x+3y>9 help me plesese
Answer: x < 3/5 y + -9/5
Step-by-step explanation:
is provided below :)
What is the slope of a line perpendicular to the line whose equation is x+y=2
Answer:
x+y-2=0
Step-by-step explanation:
thats ur anwser you are welcome:)
Holly has $225 to spend at the shopping mall. She decides to buy sweaaters and pants with her money. Sweaters cost $45 each and pants cost $25 each. The equation 45s + 25p = 225 represents this situation.
If Holly buys 3 sweaters, what is the greatest number of pants she can buy?
Answer:
3 pairs of pants
Step-by-step explanation:
Plug 3 in for s. Your equation should now be 45(3) +25p=225
Then distribute 135+25p=225
Subtract 25p=90
Divide p=3.6
Since you cannot buy half of a pair of pants you need to round down to three
Answer all the questions for a bunch of points, no scam answers please
Step-by-step explanation:
hold up bro. this doesn't even say what u actualy have to do . or is just so blurry
help me plaese if u dont mind
Answer:
C) −2.2y−1.8
Step-by-step explanation:
1.2y+4.5-3.4y-6.3=
Combine Like terms:
=−2.2y−1.8
Write the difference and simplest form (5n-3)-(-2n+7) 100 points
Answer:
7n - 10
5n - 3 + 2n - 7
(distribute the negative sign throughout the equation) (then just combine like terms)
8x___=0.24
please help me with this-
Answer:
0.03
Step-by-step explanation:
8x=0.24
x=0.03
is 3399 a rational number
it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?
Answer:
4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Step-by-step explanation:
12÷3=4