What is the value of x in the figure?
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca
$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes
and bottles of water.
a. Choose variables for the two unknown quantities in the problem and tell wha
each variable represents.
b. Use the variables you chose in problem 3a to write an equation for the amour
of money Mr. Lincoln spends.
c. Use the variables you chose in problem 3a to write an equation for the numbe
of drinks Mr. Lincoln buys.
d. Solve the system of equations. How many packs of juice boxes and how many
packs of water does Mr. Lincoln buy? Show your work.
SOLUTION
my
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :
Answer:
[tex]16[/tex]
Step-by-step explanation:
Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:
[tex](a^{b}+b^{a})-1[/tex]
[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)
[tex]=(8+9)-1[/tex] (Evaluate exponents)
[tex]=17-1[/tex] (Evaluate expression in parentheses)
[tex]=16[/tex] (Simplify)
Hope this helps!
Answer:
16
Step-by-step explanation:
Given
([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3
= (2³ + 3²) - 1
= (8 + 9) - 1
= 17 - 1
= 16
Jamal throws a bean bag into the air. This graph shows the height of the bean bag, h, in feet after t seconds.
The graph shows a parabola which opens downwards. The horizontal axis is labeled t and ranges from zero to two. The vertical axis is labeled h and ranges from zero to fourteen. The curve begins at zero, midway between four and six, then moves upwards until a point midway between zero point five and one, fourteen, then moves downwards until stopping at the t-axis at a point between one point five and two, zero.
What is the meaning of the t-intercept?
The bean bag is released when t equals zero.
The bean bag is thrown from a height of 5 feet.
The bean bag hits the ground after 1.7 seconds.
The bean bag has a speed of 1.7 feet per second when it lands.
Answer:
Step-by-step explanation:
4 / u^2 (when u = 2)
Answer:
1
Step-by-step explanation:
We have the equation [tex]\frac{4}{u^{2} }[/tex] for u = 2.
Which would be [tex]\frac{4}{2^{2} }=\frac{4}{4}=1[/tex]
A graph of a system of two equations is shown. What is the solution of the system?
Answer:
x = 1
y = 2
Step-by-step explanation:
the intersecting point is (1,2)
Please help me with this first answer gets brainliest
Answer:
multiply both sides by 17
your supposed to do the opposite of the symbol given
Step-by-step explanation:
PLEASEEEEEEEE HELPPPPPPPPP I WILL GIVE BRAINLIEST
These triangles are not similar. The triangles are not similar because the proportion 8/9 = 2/3 is false.
Simplify the following radicals. 1. √16 2. √17 3. √18 4. √19 5. √20
Answer:
Step-by-step explanation:
[tex]1) \sqrt{16}= \sqrt{4*4}=4\\\\\\2) \sqrt{17}[/tex]
This is the simplest form as 17 is a prime number.
[tex]3) \sqrt{18}= \sqrt{2*3*3} = 3 \sqrt{2}\\\\\\4) \sqrt{19}[/tex]
19 is a prime number. so it is the simplest form.
[tex]5) \sqrt{20}= \sqrt{2*2*5}=2 \sqrt{5}[/tex]
Ice cream sandwiches are wrapped in white paper before they are put in a box to be sold. How many ice cream sandwiches can be wrapped with 500 square inches of paper?
Answer:
9.6
Step-by-step explanation:
5x+10=115 what is the value of x
what is the slope and y-intercept of y=2x-3
Answer:
slope=2x, y-intercept=-3
Step-by-step explanation:
When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.
(a) 50% of 164 (b)75%of 12 (c) 25/2 of 64
help me in these ques
of comparing quantities
Here goes the answer. Please mark brainliest.
Ill give u brainliest if you help me tyy
Answer:
10
Step-by-step explanation:
i just kno it if it's not 10 it -11 okkkkkk
What is the solution to this inequality 10 X +18 < -2? A--x>-2. B--x <-2. C--x>2 D--x < 2
can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.
Also put two of these words in it Although or so unless.
40 points
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
(this is english not math change your question when you have to do this again)
sally purchased 24 pencils 1/8 of the pencils are blue 1/6 of the pencils are red how many pencils are either red or blue
A. 17
B.14
C.7
D.4
Answer:
4
Step-by-step explanation:
Because the common multiple of 6 and 8 is 24 which is the amount of pencils.
1/8 x 3 equals 24 (3 because 3 times 8 gives 24)
1/6 x 4 equals 24 (4 because 4 times 6 gives 24)
60 POINTS!!!!
Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?
Explanation would be appreciated!
My father is 42 years old as obtained from the cubic polynomial's real root.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
let my age be x years.
So, My mother is (x + 25) and my father is (x + 28) years.
∴ {x(x + 25)(x + 28) = 32130.
(x² + 25x)(x + 28) = 32130.
x³ + 53x² + 700x = 32130.
x³ + 53x² + 700x - 32130 = 0.
Now solving this has only one real solution x = 17.
So, My father is (17 + 25) = 42 years old.
learn more about cubic polynomials here :
https://brainly.com/question/28081769
#SPJ2
Solve the inequality 61 + 14c > 600.
Answer:
c > 38.5
Step-by-step explanation:
14c > 600 - 61
14c > 539
c > 38.5
As an estimation we are told 5 miles is 8 km.
Convert 33.7 miles to km.
Answer: 20.9420 is your answer
Can anyone help me with this question please
I’ll mark as brainliest.
Answer:I *THINK* its C, BUT IM NOT 100% SURE
Step-by-step explanation:
Answer:
Try using math
way to help you, I know this is a point less response but try it.
explanation:
Sorry but thats all i know or look it up type it in the search bar
Write a summary of how to get the area of a parallelogram.
Answer:
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
I hope it's helpful!
(ONLY TWO CAPITAL LETTERS) Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT
Answer:
NI and HN
Step-by-step explanation:
The segments are both marked with a congruency mark.
3xdegree+20degree=2xdegree-5degree sorry there is no degree sign so wrote the spelling of degree and x(it is x)
Answer:
-25
Step-by-step explanation:
3xdegree+20degree=2xdegree-5degree sorry there is no degree sign so wrote the spelling of degree and x(it is x)
We are to find x
3x + 20 = 2x - 5
Collect like terms
3x - 2x = -5 - 20
x = -25
pleAseeeeeeeeee can someone help me
Answer:
102.4
Step-by-step explanation:
hope that helps beautiful ;-)
solve for x in simplest rational form!! thx!
Answer:
X = 17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
x^2 = 15^2 + 8^2 = 225+64=289
x = 17
what do mathematicians do after a snowstorm
Which of the expressions below have exactly 2 terms? Select all that apply.
A) 3x+6
B) 7y2–8
C) 14−3y
D) 14x2+8x+16
a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach
Answer:
8.06 feet
Step-by-step explanation:
use the Pythagorean theorem
9^2 = 4^2 + x^2
81 =16 +x^2
x^2 = 65
x = 8.06 feet
Find the sum.
(7x® + 2x5 – 3x² + 9x) + (5x + 8x? – 6x² + 2x – 5) =
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation: