Answers:
one small box = 30 pounds
one large box = 40 pounds
==========================================================
Work Shown:
S = weight of one small boxL = weight of one large boxS+L = 70 since the two boxes combine to 70 pounds.
70S = weight of 70 small boxes
50L = weight of 50 large boxes
70S+50L = weight of 70 small and 50 large
70S+50L = 4100
The system of equations is
[tex]\begin{cases}S+L = 70\\70S+50L = 4100\end{cases}[/tex]
There are a few ways to solve this system. I'll use substitution.
I'm going to isolate L in the first equation like so
S+L = 70
L = 70-S
Which I'll then plug into the other equation to solve for S
70S+50L = 4100
70S+50(70-S) = 4100
70S+3500-50S = 4100
20S+3500 = 4100
20S = 4100-3500
20S = 600
S = 600/20
S = 30
Each small box is 30 pounds.
Use this value of S to find L
L = 70-S
L = 70-30
L = 40
Each large box is 40 pounds.
Like we expect, each large box weighs more compared to any given small box.
------------------
Check:
S+L = 30+40 = 70 verifies the first equation70S+50L = 70*30+50*40 = 4100 verifies the second equationBoth equations are true for the ordered pair (S,L) = (30,40). Therefore, the answers have been confirmed.
plz help ill give brainliest !!!!!Which expression is equivalent to 6(g + 7)?
42g + 6
6g + 42
42g
13g
Answer:
6g+42
To be certain, expand the brackets; (6×g) (6×7)
Step-by-step explanation:
A cheerful teen willing to help,
have a splendiferous day/night ahead!
stay salty...
Answer:
6g + 42
Step-by-step explanation:
[tex]6(g + 7)\\\rule{150}{0.5}\\\rightarrow 6 * g = 6g\\\\\rightarrow 6 * 7 = 42\\\\\rightarrow 6(g+7) = \boxed{6g + 42}[/tex]
can someone help with math please
Answer:
first exercise:
24
10
0
-2
-8
-11
exercise two:
neither of them
Step-by-step explanation:
start with the greater number which is not negative numbers = 24, and so on, last is -11
neither of them is true
FDP HELP PLEASE
THANK YOU SO MUCH
Answer:
he jumps 0.30 metres much further
Brain cells aren’t working right now sorry please help
Answer:
Step-by-step explanation:
6 lol
You sit in the bleachers at a concert. The angle of depression from your horizontal sight to the stage is 24 degrees. If your seat is 45 feet above the stage level what is your actual distance d from the stage
Answer:
x=111ft
Step-by-step
sin 24 = 45/x
+ the parallel lines
45 +x+24
x= 45/sin 24
The actual distance of your from the stage is 111 feet.
What is angle of depression?The angle formed by the line of sight and the horizontal plane for an object below the horizontal is called angle of depression.
What is sine of an angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
According to the given question
We have
Angle of depression = 24degrees.
Let d be the actual distance of your from the stage.
Now in right angle triangle ABC
We have
AC = 45 feet
And, ∠ABC = 24 degrees
Now the Sine of an angle ∠ABC is given by
[tex]sin24 = \frac{AC}{AB}[/tex]
⇒[tex]sin24=\frac{45}{d}[/tex]
⇒ [tex]0.406=\frac{45}{d}[/tex]
⇒ [tex]d =\frac{45}{0.406}[/tex]
⇒[tex]d = 110.64 feet[/tex] or [tex]111feet[/tex]
Hence, the actual distance of your from the stage is 111 feet.
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Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible
Answer:
Yes
Step-by-step explanation:
Yes it is a function.
What is the solution to the system of equations?
y=0.7x−2
2x+y=25
(15, 8.5)
(10, 5)
(3, 0.1)
Answer:
b num i think only not sure
Solution to the system of equation y = 0.7x − 2 and 2x + y = 25 is (- 27, - 9).
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given are two equations y = 0.7x − 2 and 2x + y = 25.
Now let us write these equations in a similar manner.
y = 0.7x − 2 ⇒ - 0.7x + y = - 2...(i)
2x + y = 25...(ii)
Now subtracting eqn(i) from eqn(ii) to cancel out the term y we get
2.7x = - 27.
x = - 10 and substituting the value of x in any one of the equations we get
y = 0.7(-10) - 2.
y = - 7 - 2.
y = - 9.
So, one of the solutions to the system of equations is (- 27, - 9).
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what is the slope intercept equation for the following line
Answer:
y= 2x + 7
Step-by-step explanation:
2= slope which is rise/run and 7= y intercept
Did you know it takes about 40 pounds of olives to make 3 liters of olive oil? Orchard A grew about 2000 pounds of olives. How many liters of olive oil would this make?
Answer:
150
Step-by-step explanation:
Using the unitary method,we can say that 150 liters of olive oil it will make.
What is unitary method?The unitary method is a technique in mathematics for solving a problem by finding the value of a single unit, I.e.,1,(by dividing) and then finding the necessary value by multiplying the single unit value.A method of solving a problem that involves first determining the value of a single unit,And then multiplying that value to determine the required value.According to the question,
40 pounds of olives to make 3 liters of olive oil.2000 pounds of olives will make 150 liters of olive oil. 3/40= 0.075 0.075 * 2000150hence,We may estimate that 150 liters of olive oil will be produced using the unitary approach.
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Write the largest three-digit numeral possible using the digits 5, 8, and 4.
please help me asapppppp
Answer:
make me brainlest I'll answer that, I'm Bright in math
At Target, a regular size of oreos (17 oz) is $3.79.
At Jewel, a regular size of oreos (17 oz) is 2.99
Find cost per oz. Be sure to show your work!!!
Target: 0.222941176 Per Oz
Jewel: 0.175882353 Per Oz
Assuming your teacher isn't a maniac she's going to round to the nearest cent. In this case, Target charges (about) 22 cents per Oz. Jewel charges (about) 18 Cents per Oz. This is 0.22 Dollars and 0.18 Dollars if she wants it in dollars and not cents.
Can yell help me pweaseeeee I need help with 7
Answer:
False
Step-by-step explanation:
Lines that intersect at right angles are called parallel. False
They are called intersecting lines.
Answer:
False
Step-by-step explanation:
This is false, lines that are always the same distance apart and never intersect are paralle. Line that intersect at a right angle are called perpendicular. See the image.
50 points if you get this right
Answer: 1. The measure of angle WXY is equal to 37°
2. The measure of angle ZXW is 74 degrees
A restaurant decreased their prices for a day to their prices from 1964. A pizza that usually sells for $15.40 was marked
down 85%. What was the price of the pizza in 1964?
Need help now please please
Is this correct can someone please check it
9514 1404 393
Answer:
10. needs work
11. correct
12. correct
13. correct
Step-by-step explanation:
In general, it is a good idea to write a statement that answers the question asked. Simply solving an inequality for "x" rarely answers the question (unless it is a question that asks for the value of "x"). It is often best to try to use the wording that the question uses.
It is also a good idea to say what your variable represents.
__
10.The required relation is "cheaper than" so the "or equal to" case does not apply. The variable represents messages, so the solutions will be integers.
"Nadine can send and receive more than 33 messages so the unlimited plan is cheaper."
__
11."Becky can afford at most 8 fish."
__
12."Loretta must drive more than 260 miles farther to reach Pensacola."
__
13."Terri can spend at most 35 minutes listening to music."
_____
Additional comment
The wording of the question in problem 10 is unconventional, but we have elected to use it anyway in the above answer. We could write "The unlimited plan is cheaper if Nadine sends and receives a total of more than 33 messages."
2. Find the slope of a line that passes through (-2,-3) and (1.1). 01 101
m = (Y2 - Y1)/(X2 - X1)
m = (1 - (-3))/(1 - (-2))
m = (1 + 3)/(1 + 2)
m = 4/3 <==> 1 ⅓
Choose Yes or No to tell whether each rate is a unit rate, 1/ 1/3 , 2/3 / 1 , 2/3 , 3/1
Answer:
Unit rate is literally 1/x.
Step-by-step explanation:
U can figure out the rest!
Please help me my brain is so fried rn.
In this line circles the ratio of red circles to blue is 1:3 . How many more red circles would need to be added to make the ratio of red and blue 3:1?
Answer:
take two blue away and add two red
Step-by-step explanation:7+3x5-4(divided by)2+3 USING PEMDAS SHOW YOUR WORK
WILL MAKR BRAINLIEST
Answer:
23
Step-by-step explanation:
(PEMDAS)
No parentheses
No exponents
Multiply 3*5= 15
Divide -4/2 = -2
Rewrite equation
7+15-2+3➡22-2+3➡20+3
23
Answer: 23
Step-by-step explanation: Multiply 3*5= 15
Divide -4/2 = -2
After, rewrite the equation
7+15-2+3 22-2+3 20+3
Answer : 23
What is the intercepts of the line?
Answer:
The y-intercept is 2.5
The x-intercept is 3.5
Step-by-step explanation:
Hope this helps!
Could somebody help and explain pls thank you
Answer:
Y=mx+b
Step-by-step explanation:
All your doing if finding were the point starts which would be 1 and the slope of the graph which is 0.5 so your answer would be y=0.5x+1 but in the way they want you to write it in it would be 1+0.5x=Y.
whats is the answer to the problem
Express (5a3n)3 with positive exponents.
I think you meant to expand this.
(5a³n³)
= (5a³n¹)³
= 5³ (a³)³ (n¹)³
=》5³ = 5 × 5 × 5 = 125
=》(a³)³ = a⁹
=》(n¹)³ = n³
5³ (a³)³ (n¹)³
= 125a⁹n³
Note :-
=》(aᵇ)ᵇ = aᵇ ˣ ᵇ
_____
RainbowSalt2222 ☔
Help please !! It’s about slopes
Answer:
but what do you have to do tho
Step-by-step explanation:
There are ______ decigrams in 14 hectograms.
Answer:
14000
Step-by-step explanation:
BRAINLIEST PLSSSSS
Answer:14000 decigrams
Step-by-step explanation:
14.
Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –7); m = -6/5
A. y – 7 = -6/5(x + 3)
B. y + 3 = -6/5(x + 7)
C. y – 7 = -6/5(x – 3)
D. y + 7 = -6/5(x + 3)
Answer:
D. y + 7 = -6/5(x + 3)
Step-by-step explanation:
Answer:
B. y + 7 = -6/5 (x+3)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .
Slope-intercept form: y = − 6 /5 x − 53 /5
Point-slope form: y + 7 = − 6 /5 ⋅ ( x + 3 )
Find the slope of the line through the pair of
points (simplify all fractions).
(6, 10), (-20, 14)
Answer:
-0.15
Step-by-step explanation:
[tex]\frac{y{2}- y{1} }{x{2}-x{1} }\\[/tex] is the formula
now let's subsitute into the formula with our points (6,10) and (-20,14)
[tex]\frac{14-10=4}{-20-6=-26}[/tex]
now we have the fraction [tex]\frac{4}{-26}[/tex] or -0.15
