Answer:
21 and 6
Step-by-step explanation:
a will be the larger, b the smaller:
a - b = 15
2b + 3a = 75
First, we'll solve the first equation for a in terms of b:
a = b + 15
Then substitute that in for a in the second equation to get a numerical value for b:
2b + 3(b + 15) = 75
2b + 3b + 45 = 75
5b = 30
b = 6
Next, we'll get a numerical value for a:
a - b = 15
a - 6 = 15
a = 21
Check the math:
2(6) + 3(21) = 12 + 63 = 75
Please lmk if you have questions.
Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?
Answer:
Marcy paid $4.15
Step-by-step explanation:
Given
Represent hotdogs with x and chips with y.
So, we have:
Jamal
[tex]3x + 2y = 4.85[/tex]
Kenny
[tex]5x + 6y = 9.55[/tex]
See attachment for complete question
Required
Determine the amount for 2x and 3y
From Jamal's and Kenny's orders we have:
[tex]3x + 2y = 4.85[/tex] --- (1)
[tex]5x + 6y = 9.55[/tex] --- (2)
Multiply (1) by 3
[tex]3 * [3x + 2y = 4.85][/tex]
[tex]9x + 6y = 14.55[/tex] --- (3)
Subtract (2) and (3)
[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]
[tex]9x - 5x = 5[/tex]
[tex]4x = 5[/tex]
Solve for x
[tex]x = \frac{5}{4}[/tex]
[tex]x = 1.25[/tex]
Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]
[tex]3 * 1.25 + 2y = 4.85[/tex]
[tex]3.75 + 2y = 4.85[/tex]
Solve for y
[tex]y = \frac{4.85 - 3.75}{2}[/tex]
[tex]y = \frac{1.10}{2}[/tex]
[tex]y = 0.55[/tex]
So, the cost of 2x and 3y is:
[tex]Cost = 2x + 3y[/tex]
[tex]Cost = 2*1.25 + 3*0.55[/tex]
[tex]Cost = \$4.15[/tex]
4. Which ordered pair best represents a point
on Tia's route to the store?
F .(-5, 6)
G. (-2.5, 0)
H. (-2,5)
J. (-3.5, -3)
Answer:
G. (-2.5, 0)
Step-by-step explanation:
Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).
hope this helped :)
URGENT!!!!HELP!!!!PLS!!!NOW!!!!!!HURRY!!!
Answer:
I'm guessing it's 4 i think but sorry if it's wrong
Step-by-step explanation:
How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.
y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line
Answer:
There is one equation, the slopes are different so they will intersect at one point
Step-by-step explanation:
Evaluate.Evaluate.
8−2⋅3+7
Step-by-step explanation:
6×10
=60
niceeeeeeeeeeee
Anyone know this and if do pls help
70% of the trip length, t, is 35 miles. Find t:
0.70t = 35. Dividing both sides by 0.70, we get:
35
t = ----------- = 50
0.70
The total trip length is 50 miles.
The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?
Answer:
9%
Step-by-step explanation:
Given :
Principal, P = 400
Time, t = 4 months = 4/12 = 0.33333
Simple interest = 12
Simple interest = (principal * rate * time)
Rate = r
12 = (400 * r * 0.33333)
12 = 133.3333r
r = 12 / 133.3333
r = 0.090000
r = 0.09
rate = 0.09 * 100% = 9%
The sales tax on a $500 purse is 7%. What is the total cost of the purse?
Answer:
$535
Step-by-step explanation:
First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.
HELP PLEASE
Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?
If an item is on sale for 60% off, that means you actually PAY _____% of the price.
Answer:
40%
Step-by-step explanation:
100-60=40
What is the equation represented by the table above?
A y = 8x
B y = x + 7
C y = 5x + 3
Dy = 3x + 5
Answer:
C: y = 5x + 3
Step-by-step explanation:
Note that if x changes from 1 to 3 (the "run"), y changes from 8 to 14 (the "rise"). Thus the slope of the line represented by the table is m = rise/run = 6/2, or m = 3. Answer choice D is the only one that displays a slope of 3.
Answer:
Answer is D
Step-by-step explanation:
A. 14=8(3), 14≠24
B. 14=3+7 , 14≠10
C. 14=5(3)+3, 14≠18
D.14=3(3)+5, 14=9+5 14=14
what is the distance between (3,-5), (-3,0)
Answer: 11 units
Step-by-step explanation:
-3 and 3 are 6 units apart, so that would be 6 units, and when you add the -5 into the problem, the 6 units become 11 units. Hope this helped :)
Answer:
Exact Form:
√ 61
Decimal Form:
7.81024967 …
It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?
Can i please get some help, I NEED A STEP BY STEP TO FULLY UNDERSTAND THE QUESTION AND YOUR ANSWER
Answer: $20.25
Step-by-step explanation:
If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.
Hope this helps :)
Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?
Answer:
a
Step-by-step explanation:
Translate the phrase into an inequality:
Seven plus a number x is at most twenty
At most means less than or equal to:
7 + x ≤ 20
Find the missing length.
= ✓ [?]
C =
с
6
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:
Pythagoras theorem= 6 squared +11 squared
= 36 + 121
= 157
Step-by-step explanation:
9y8tyfstoylhlh
Select all the equations that represent functions that are non-linear.
A. y = x
B. 2y = 1/2x
C. y = 8 + x
D. y - 6 = x^2
E. y= 1/3-5x
F. y= 2x^2 + 5 - 3x^2
Answer:
D, F.
Step-by-step explanation:
D and F contain x^2.
Help please :) (asap)
x^2 - x - 6= 0
(x - 3) ( x + 2) = 0
Equating
x - 3 = 0
x = 3
x+ 2= 0
x = -2
Answer: x - 6
Step-by-step explanation:
Please help!! I am so confused on how to do this.
Answer:
its 62!
p-by-step explanation:
Answer:
62.
Step-by-step explanation:
A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62
En san pedro de atacama, un dia de septiembre a las 7a.M., la temperatura fue de 6°c, la que fue aumentando 2,3°c en promedio por hora hasta que alcanzo su maxima de 30,15 °c ¿ a que hora alcanzo su temperatura maxima
Answer:
5:30 p.m.
Step-by-step explanation:
30.15 - 6 = 24.15
24.15 / 2.3 = 10.5 hrs
7 + 10.5 = 17.5 = 5:30 p.m.
Help me please!!!!!!!!!!!
Answer:
A reflection over the y-axis.
PLEASE HELP FOR BRAINLIEST! The sum of two numbers is 4 and the difference of their squares is 64. Find the two numbers.
10 and -6
.....................................................
1. What is 5,509 rounded to the thousands place?
А
6,000
B
5,500
5,600
D
5,000
Elena notices that when she spends less time on social media the night before a quiz, she gets a higher score. Before one quiz, she spent 107 minutes on social media and eamed 37 points on a
quiz. Before another quiz, she spent 73 minutes on social media and eamed 11 points on a quiz
write a function to model a linear relationship between Elena's social media usage, in minutes, and her quiz scores, assuming that the total number of points on each quiz remains a constant
Respond in the space provided
Answer:
[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
Step-by-step explanation:
Given:
Score of 37 with 107 minutes on social media.
Score of 41 with 73 minutes on social media.
The two pieces of information above can be thought of as two points on a line. Since the quiz score is a function of the number of minutes on social medial, let the number of minutes on social media be x and the score be y. The given information gives us two ordered pairs: (107, 37) and (73, 41).
Now we need to write the equation of a line that passes through these two points.
The two-point form of the equation of a line is:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
We have [tex] x_1 = 107 [/tex], [tex] y_1 = 37 [/tex], [tex] x_2 = 73 [/tex], and [tex]y_2 = 41[/tex].
[tex] y - 37 = \dfrac{41 - 37}{73 - 107}(x - 107) [/tex]
[tex] y - 37 = \dfrac{4}{-34}(x - 107) [/tex]
[tex] y - 37 = -\dfrac{2}{17}(x - 107) [/tex]
[tex] 17y - 629 = -2x + 214 [/tex]
[tex] 17y = -2x + 843 [/tex]
[tex] y = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
A bird is flying 15 feet above sea level. A dolphin is swimming 3 feet below sea level. What is the difference in elevation? (I just need help checking again)
Answer:
18ft
Step-by-step explanation:
15+3=18
5th grade math. correct answer will be marked brainliest
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
9×[tex]\frac{1}{3}[/tex]
9×1/1×3=
[tex]\frac{9}{3}[/tex]÷3=
3!!!!
Please help no links
Answer: Big rectangle shades 1/4+1/2
Step-by-step explanation:
So have a Big
can someone help me I’m stuck on this and can’t figure it out
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
19.99 - 3.998(20%) = 15.992 which when rounded is 15.99
2.
It cost Enica $9 75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was
Erica's total profit?
Answer:
$8.75
Step-by-step explanation:
Cost price= $9.75
Selling price= $1.00
profit= C.P-.SP
= 9.75-1.00
= $8.75
simplify the screenshot below
Answer:
-4x - 16y
Step-by-step explanation:
Given:
-4(3x - 2x + 4y)
Required:
Simplify
Solution:
To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4
Thus:
-4*3x -4*-2x -4*+4y
-12x + 8x - 16y
Add like terms
-4x - 16y
