Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
The price of a gallon of unleaded gas was 2.84 yesterday. Today, the price rose to 2.90 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
Answer:
1/4.
Step-by-step explanation:
There are 3 even numbers in the 6 numbers on a cube.
So Probability first roll is even = 3/6 = 1/2.
By the same reason Probability of odd number = 1/2.
So: Probability(First is even and second is odd) = 1/2 * 1/2 = 1/4.
Explain the algebra 5a - 9a - (-2a) =
Hello!
5a - 9a - (-2a) =
= 5a - 9a + 2a =
= -4a + 2a =
= -2a
Good luck! :)
Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He currently has –6 points. What situation would end with him breaking even?
Answer:
definetely not a pog champ :)
Step-by-step explanation:
What are both of these?
error analysis: describe and correct the error in solving the equation.
1) the only solution of the equation x^2+6x+9=0 is x=9
A red-light flashes every 28 seconds. A green light flashes every 24
seconds. They both flash at the same time. After how many seconds will
they both next flash at the same time
Answer:
168 seconds
I edited the answer.
Step-by-step explanation:
To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.
28 x 6 = 168, 24 x 7 = 168
The LCM of 28 and 24 is 168.
So it takes 168 seconds for both lights to flash at the same time.
Both lights will flash together again at 2 minutes and 8 seconds.
To find When will they flash together again if they flash together.
What is LCM?LCM is the method to find the smallest possible multiple of two or more numbers.
Given that,
A red light flashes once every 28 seconds
A green light flashes once every 24 seconds
A red light flashes every 28 seconds and green light flashes once every 32 seconds. Therefore, we have to find their least common factor.
LCM(28 , 24) = 168
The red and green light will flash together after every 168 seconds.
Time =168 seconds
Time =168 / 60 minutes
Time = 2 minutes and 8 seconds
The red and green light will flash together after every 2 minutes and 8 seconds.
Hence, both lights will flash together again at 2 minutes and 8 seconds.
Learn more about LCM here:
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(4 × 10 –10)(3 × 104)
Answer: 9360
Step-by-step explanation:
1) 10 (4 - 1) x ( 3 x 104 )
2) 10 (4-1) x 312
3) 10x3x312
=9360
Hope this helps!
A line that includes the point (1, 10) has a slope of 6. What is its equation in slope-intercept
form?
Answer:
y = 6x + 4Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of m and including the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = 6
(1, 10) ⇒ x₀ = 1, y₀ = 10
Therefore:
y - 10 = 6(x - 1) ← the point-slope form
y - 10 = 6x - 6 {add 10 to both sides}
y = 6x + 4 ← the slope-intercept form
Select the correct answer from each drop-down menu.
Two sides of a right triangle measure 5 inches and 6 inches, and the third side measures V61 inches.
inches.
The length of the third side is about
inches. The perimeter of the triangle is about
Please help
Answer:
7.8 and 18.8 is your answer
Step-by-step explanation:
give other person brainliest and yes Ik I’m very late ~w~
i have i need to use the substitution method to work out what x and y is
5y−2x=10
8x+5y=60
Answer:
pick the simplest of the 2 equations
Step-by-step explanation:
5y-2x=10
5y = 2x +10
y = 2/5x + 2
now substitute
8x + 5(2/5X +2)=60
8x + 2x + 10 = 60
10x = 50
x = 5
y = 4
pay ITS TIVE
3. Bonolo ran a 10 km race. Her average speed was 6 km per
hour. How long did it take her in minutes to complete the race?
working days. .
Answer:
km per min
Step-by-step explanation:
6km ÷ 60 = 0.1
Bonolo ran 0.1 km per min
it takes 100 mins= 0.1×10
100 mins means 1 hour 40 min
As shown in the diagram below, the radius of a cone is 2.5 cm and its slant height is 6.5 cm
Answer:
multiple but if that dont work ion know what to tell you
HELP PLZZZZ!!!!!!!!! will mark brainlest
Answer:
(7,-8)
Step-by-step explanation:
just count the x and y axis
Brillianst please!!!
Simplify the question above
Answer:
[tex]1 + \frac{3}{x} [/tex]
Step-by-step explanation:
1) Rewrite x² - 9 in the form a² - b² where, a = x and b = 3.
[tex] \frac{ {x}^{2} - {3}^{2} }{ {x}^{2} - 3x} [/tex]
2) use difference of squares: a² - b² = ( a + b ) (a - b).
[tex] \frac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]
3) Factor out the common term x.
[tex] \frac{(x + 3)(x - 3)}{ x(x - 3)} [/tex]
4) Cancle out x - 3 .
[tex] \frac{x + 3}{x} [/tex]
5) Simplify.
[tex]1 + \frac{3}{x} [/tex]
Therefor, the answer is 1 + 3/x.
Answer:
1 + 3 ÷ x
Step-by-step explanation:
Just doing my streak. All credit goes to the person who answered first
What is the area of a circle with a diameter of 21 centimeters?
use 3.14 for pi
Answer:
346.4 square centimeters (cm²)
Answer:
346.185 cm²
Step-by-step explanation:
radius = diameter / 2
Area of a circle = πr²
radius = 21/2 = 10.5
Area = 3.14(10.5)²
Area = 346.185 cm²
HELP ON A TIMER
WHAT IS THE x-intercept of the graph?
Identify the vertex for the graph of y = -2x2 - 12x +1. (1 point)
O (-3, 19)
0 (-3,55)
(3, -53)
(3, -47)
Answer:
(-3, 19)
Step-by-step explanation:
The ratio of boys to girls at the valley high school is 3:2. The school has 900 students. How many boys are at the school?
Answer:
let the no. of boys be 3x and girls be 2x
And according to the question
2x+3x is equal to 900
Step-by-step explanation:
and solve this equation...
hope this helps..
The angle measurements in the diagram are represented by the following expressions.
A = 8x+ 78°
B = 2x + 114
B=
Answer:
126
Step-by-step explanation:
Khan is never wrong :3
A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) It is not a valid sample because it is only a short study. It is a valid sample because money is offered to participants. It is a valid sample because the first 10 people were selected to participate. It is not a valid sample because it is not a random sample of the population.
Answer:
the third one
Step-by-step explanation:
do you need and explanation
Find x if the area of the rectangle below is 124 square inches. WHAT IS THE
VALUE OF X? *
4
6x +1
Answer:
Step-by-step explanation:
(6x+1)4 = 124
6x+1 = 31
x = 5
Select the correct answer. One factor of the polynomial 2x^3–3 x^2 - 3x + 2 is (x- 2), which expression represents the other factor, or factors, of the polynomial?
Answer:
D
Step-by-step explanation:
The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.
The given expressions are 2x³-3x²-3x+2 and x-2.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
Here, the given polynomial can be factored as follows:
x-2 |2x³-3x²-3x+2| 2x²+x-1
2x³-4x²
(-) (+)
___________
x²-3x+2
x²-2x
(-) (+)
___________
-x+2
-x+2
(-) (+)
____________
0
2x²+x-1 can be rewritten as 2x²+2x-x-1
= 2x(x+1)-(x+1)
= (x+1)(2x-1)
The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.
To learn more about the factorisation of polynomial visit:
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You rent an apartment that costs $ 1400 $1400 per month during the first year, but the rent is set to go up $ 190 $190 per year. What would be the monthly rent during the 6th year of living in the apartment?
Answer:
$2540
Step-by-step explanation:
Given data
Cost per month=$1400
Increase per year=$190
Time = 6 years
Let the total rent per month be y
Hence, the expression for the monthly rent after 6 years is
y= 1400+190(6)
y= 1400+1140
y=$2540
someone pls pls pls answer these questions by finding the area!!!!!!!
Answer:
8 is the diamonds area im not sure if there is a formula for that but its 8
Second shape you could connect the dots to make it more easier to get 15
Third shape is 16 for the area.
Find the difference.-3.2 - (-4) *
1 point
7.2
-7.2
0.8
-0.8
Answer:
do you like harry styles
Step-by-step explanation:
pog champ
PLEASE HELP (THE PHOTO)
Answer:
a. y = 4x b. 48 feet
Step-by-step explanation:
y = mx + b
Plotted points found:
(5,20) (10,40)
Delta y/Delta x
(40-20)/(10-5)
20/5 = 4
Slope: 4
y = 4x + b
The y-intercept is when x = 0. In this case, the y-intercept is 0.
Equation: y = 4x
b.
y = 4(12)
y = 48 feet
A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?
Answer:
60 oz of water to add
45 oz of 35% salt solution should be used
Step-by-step explanation:
Let x = amt no. ounces in the first solution
and 105 - x = amt no. of ounces in the second solution
Ist solution contains 0% salt
2nd solution contains .35(105 - x) salt
.15(105= amt of salt in mix
So.
amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix
0 + .35(105 - x) = .15(105)
Let's get rid of the fractions by multipying thru the equation by 100
35(105 - x) = 15(105)
3675 - 35x = 1575
-35x = -2100
x = 60 oz of water to add
105 - 60 = 45 oz of 35% salt solution should be used
Please help me as soon as possible, I'LL GIVE BRAINLIEST !
Answer: -10 also your welcome
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc. in degrees?
Answer:
60°Step-by-step explanation:
Given that:
Circumference (C) = 6 unitsArc length (A) = 1 unitFind the central angle (θ)
Arc is some part of circumference; thus,
the equation of arc length =
A = θ/360 × C
θ/360 = A/C
θ = (360×A)/C
θ = (360×1)/6
θ = 360 ÷ 6
θ = 60° ✅Central angle = 60°
______________
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- kexcvi