Solve the following system of equations by substitution. *
8x + 5y = 24
y = -4x
Answer:
x= 19/4
Step-by-step explanation:
eighteen minus the product of 7 and a number, p.
Answer:
Step-by-step explanation:
18 - 7p = ?
solve the inequality z + 9 > 6 z > ?
( Equations and Inequalities )
Answer:
You have to switch sides so the answer is x<z+9
Step-by-step explanation:
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]
Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side
[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]
Now, we can plug in our value for x into the given equation
[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]
Open the parentheses
[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]
Merge Y values
[tex]6.8+10.8y=23[/tex]
Separate numerical values from variables
[tex]10.8y=16.2[/tex]
Divide by 10.8 in order to have a coefficient of 1
[tex]y=1.5[/tex]
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
[tex]5x+3(1.5)=17[/tex]
Open parentheses
[tex]5x+4.5=17[/tex]
Single out the variable
[tex]5x=12.5[/tex]
Divide by 5 to have a coefficient of 1 before x
[tex]x=2.5[/tex]
[tex]y=1.5[/tex]
Find the equation of the line passing
through the points (4, 2) and (6,10).
y = [ ? ]x + [ ]
Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
given the function below, which of the following values will result in f(x)=10
f(x)=1/2x+8
Answer: x=4
Step-by-step explanation:
1/2x+8=10
Subtract 8 from 10
Multiply 2 to 2
x=4
Step-by-step explanation:
1/2(10)+8=
1/20+8=
161/20=
8.05
Help with this problem
Answer:
The vertical intercepts is
(4/3,0) (3,0) (1,0)
The horinzontial intercepts is
(0,72)
Step-by-step explanation:
The vertical or y intercepts will be zeroes of the following factors.
3x+4=0
x-1=0
(x-3)^2=0
We solve for x each time
x=-4/3
x=1
x=3
Part B). We need to find the intercepts by setting the equation equal to zero.
The constant expanded will equal 72.
If x=0,
0y=0
where y is any real number.
So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is
2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3
Answer:
C
Step-by-step explanation:
CAN SOMEONE HELP ME OUT I BEG U
Answer:
d
Step-by-step explanation:
Arrange the following numbers in increasing order.
2.3, 45.1, 18.735, 0.9862, 7
Step-by-step explanation:
1. 0.9862
2. 2.3
3. 7
4. 45.1
5. 18.735
Which explanation could be used to verify weather the functions are inverse
Answer:it is the second option
Step-by-step explanation:
neither of the lines are paralell to the y=x
If I take 1 hour to cook a batch of cookies and I have 15 ovens working 24 hours a day every day for 5 years, how long does it take me to make 6000000 batches of cookies?
Answer:
Approximately 40,069 days
Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?
Answer:
20 quarters quarters 14 nickles
Are the ratios 2:1 and 17:7 equivalent?
Answer:
no
Step-by-step explanation:
1 x 7 = 7 but 2 x 7 does not equal 17
Find x given the prism has a surface area of 286 in². Explain your thoughts
Answer:
h
=
3
r
=
4
h
=
2
r
=
6
h
=
4
l
=
4
w
=
4
Step-by-step explanation:
PLEASE HELPPPP. I really need it
Answer:
Option 4: (0, 5]
Step-by-step explanation:
Given the inequality notation, 0 < x ≤ 5 :
Definitions:open- and closed-parenthesis "( )"We know that using the open- and closed-parenthesis, "( )" are used to express interval notation for which the endpoints are not included as part of the solution. Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.
open- and closed-brackets "[ ]"In contrast, the open- and closed-brackets, "[ ]" are used to express interval notation for which the endpoints are included as part of the solution. Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (≤), and greater than or equal to (≥).
Explanation:In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.
The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.
While the inequality symbol between x and 5 is "≤," which means that we must use an closed bracket, " ] " for the endpoint, 5.
Therefore, the correct answer is Option 4: (0, 5].
20.4 is what percent of 17?
Answer:
120%
Step-by-step explanation:
20.4 ÷ 17 = 1.2
1.2 · 100 = 120%
35 devide 28 with decimals pls help I need help
Answer:
1.25
Step-by-step explanation:
28 * 1 = 28. 35 - 28 = 7.
Add a decimal after the 1 in your answer and after the 35 in your problem. Add a zero to make your 7 into 70.
28 * 2 = 56. 70 - 56 = 14
Add a zero to make your 14 into 140.
28 * 5 = 140
What is the monthly payment for a 5 years 3,200 loan with a 9% APR?
Answer:
288 per month i guess 17280
Step-by-step explanation:
Please answer: The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?
In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the anniversary party for their parents.
The number if guest will be 50 guests
Given data
quoted price = $96 per person
Let the total bill be x
one-fourth of the total bill = 1/4*x
advance payment is $1200 = 1/4x------------1
Let us find the total bill which is x
$1200 = 1/4x
cross multiply
1200*4 = x
x = 4800
if the budget per person is $96
Hence the total expected guest will be = 4800/96
50 guests
Learn more about algebra here :
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Need it now ‼️‼️‼️‼️will give brain list to who ever answers first
Answer:17/18
Step-by-step no explation
I need help
With this one question
Answer:
$88
Step-by-step explanation:
442.70 rounded to the nearest 10 dollars is 440.
20%= .2.
440 times .2 =
88
State if the two triangles are congruent. If they are state how you know.
Help me
Answer:
not congruent
Step-by-step explanation:
The two triangles have a common side. That makes 1 pair of congruent sides.
The triangles have another pair of congruent sides that is shown.
There is also 1 pair of congruent angles.
Since there is no SSA method of proving triangles congruent, the answer is the first choice:
not congruent
Add: 34.05 + 9.068
Thank you in advance
How would 10% be written as a fraction?
1/10
10% is 10/100 which simplifies to 1/10
Answer:
1/10
Step-by-step explanation:
it would be 1/10. reduce the fraction by 10
Rational exponents of 2161/3?
subtract 8 and 1/5 - 4 2/5
Answer: = -3
Step-by-step explanation:
How many factor pairs does 15 have
Answer:
It has a total of 4 the factors are 1,3,5, and 15
The total cost for a piece of land is 600000. If the land is 100 meter shorter and each meter costs 1000 more the total cost would remain unchanged. Use a quadratic equation to determine the length of the land.
Answer:
5,00000000
Step-by-step explanation:
6000000000
How many days are in 52 weeks?
Answer:
A year but -1.
Step-by-step explanation:
52x7=364.
Hope this helps!
Answer:
there are 364 days in 52 weeks.
Step-by-step explanation:
To find out how many days are in 52 weeks you have to multiply the amount of days there are in a week by 52, there are 7 days in a week and 7 times 52 is 364 so the answer is 364