Answer:
$44.80
Step-by-step explanation:
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
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:
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]
Solve the inequality 61 + 14c > 600.
Answer:
c > 38.5
Step-by-step explanation:
14c > 600 - 61
14c > 539
c > 38.5
what do mathematicians do after a snowstorm
Ms. Kumar has a checking account at the bank. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Ms. Kumar's account is -$2.67. If she does not make any deposits or withdrawals, what will be the balance in her account after 2 days?
Answer:
-14.57
Step-by-step explanation:
5.95×2=11.90 (for the fee in 2 days) 11.90+2.67=14.57 and sense she owes money it would be -14.57
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
What is the solution to this inequality 10 X +18 < -2? A--x>-2. B--x <-2. C--x>2 D--x < 2
of the 19 total sloths that were spotted how many were not seen in the 30 - 39 interval
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
39 - 30 = 9
At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 1/3 less than that. How many ounces of peanut butter are in the pantry now?
A.2/3⋅80
B.1/3⋅80
C.80−1/3
D.(1+1/3)⋅80
Answer:
2/3*80
Step-by-step explanation:
2/3*80, is the same as finding 1/3 of 80, and subtracting the new number from 80.
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)
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
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:
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
please help I’m so confused and my parents are gonna kill me if I don’t get my homework done...
Answer:
X=-6
Step-by-step explanation:
the sum of interior angels in a triangle is 180.
52+78=130
180-130=50
to get 56 to 50 x has to be negative
hope this helps :)
Answer:
Ok I'll save ur life, thank me later-
52 + 56+x + 78 = 180(Since all angles in a triangle sum upto 180°)
=130 + 56+x =180
=186+x=180
=x=180-186
x=-6
56 + (-6)
=50
Hope it helps
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
HELP QUICK!! solve by substitution and show work please
As an estimation we are told 5 miles is 8 km.
Convert 33.7 miles to km.
Answer: 20.9420 is your answer
(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.
(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.
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
what solid is represented by the net
Answer:
what net. there is no net
Step-by-step explanation:
Answer: triangular prism
Step-by-step explanation:
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
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)
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!
What is the value of x in the figure?
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.
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]
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:
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
