A jewelry box has a volume of 240 in cubic in. Its height is 12 inches, its width x in inches and its length ( x + 8) inches.
Answer:
Width of the box = 2 inches
Step-by-step explanation:
Volume of a box = length × width × height
Volume of the box = 240 cubic inches
Length of the box = (x + 8) inches
Width of the box = x inches
Height of the box = 12 inches
Volume of a box = length × width × height
240 = (x + 8) * x * 12
240 = (x² + 8x) * 12
240 = 12x² + 96x
12x² + 96x - 240 = 0
x² + 8x - 20 = 0
Solve quadratic equation using factorization method
x² + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0 OR x - 2 = 0
x = -10 OR x = 2
Width of the box can not be a negative value
Therefore,
Width of the box = 2 inches
A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years. To the nearest whole number
Answer:
17000+3400 =
Step-by-step explanation:
Answer:
25,160
Step-by-step explanation:
ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.
what is the correct answer
Answer:
D. 2√2
Step-by-step explanation:
In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.
x = 4/√2 = 2√2
On a number line, graph all the temperature that are warmer than -2 degrees Celsius
(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
On a number line, graph all the temperature that are warmer than -2°C.
(a)-2 °C temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.
The inequality to express the relationship between -2 and -5 will be -2>-5.
Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
To learn more about the graph, refer to the link;
https://brainly.com/question/14375099
#SPJ2
Solve the equation by quadratic formula. Round to the nearest Tenth, if necessary
x^2 - 49 = 0
Answer:
[tex]x = 7 \: or \: x = - 7.[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 49 = 0[/tex]
Then
[tex] {x}^{2} = 49 [/tex]
So
[tex]x = 7 \: or \: x = - 7.[/tex]
Answer:
x = -7 , 7
Step-by-step explanation:
a² - b² = (a + b)(a - b)
x² - 49 = 0
x² - 7² = 0
(x + 7)(x -7) = 0
x + 7 = 0 ; x - 7 = 0
x = -7 ; x = 7
Solve the system by graphing y=-2x + 2
y=-2x - 2
Answer:
hope it helps...
have a great day!!
Can someone help me with this please :,)
Answer: 43.07
Step-by-step explanation:
(23 points)I need help really fast my last question
• exponential and linear growth
•Trolls Will be reported aww lol
Please I just need this answer right
Answer:
It's Option A. the more detailed answer is in you other, exact same, question.
note that others only get half of the points you pay. the are split between two answers
{x+y=-4
{y=2x-1
Help please. Thanks in advance.
This equation shows how the total number of pieces Lamar has learned depends on the number of weeks he has taken piano lessons. P = w The variable w represents the number of weeks he has taken piano lessons, and the variable p represents the total number of pieces he has learned. In all, how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Answer:
19 weeks
Step-by-step explanation:
Given equation:
P = w
Where,
w = the number of weeks he has taken piano lessons
p = the total number of pieces he has learned
how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Find w when p = 19
P = w
p = 19
Since P = w
19 = w
Therefore,
w = 19
Lamar need 19 weeks before he will be able to play a total of 19 pieces
help, with this math question please :)
answer choices are shown in the photo
Answer:
A. 3 * 10^4
Step-by-step explanation:
9 * 10^7
3 * 10^3
9 is 3 times 3, so there is 3
10^7 is 10^4 times 10^3, so there is 10^4
So it is 3 * 10^4
Identify the angle or side that is common to SUT and SVT.
Answer:
ST
Step-by-step explanation:
Sides of ΔSUT are : ST, SU , UT
Side of Δ SVT are: ST , VT , SV
Common side is ST
what are the coefficients in the expansion of (x+y)^6
Answer:
6 is the coefficient
Step-by-step explanation:
brainliest?
ANSWER PLEASEEEE!!!!!!!!!!!
Answer:
2^-6 is the correct answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{1}{64}[/tex]
=[tex]\frac{1}{2^6}[/tex]
according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.
=[tex]2^{-6}[/tex]
In Exercises 6 and 7, find sin J, sin K, cos J, cos K, tan J and tan K. Write each answer as a fraction and as a decimal rounded to four places.
Answer: Refer to the diagram below for the answers
========================================================
Explanation:
The rules I'm using are
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentThe opposite side is the leg furthest from the reference angle. For example, if J is the reference angle, then leg LK is the opposite side. The adjacent side would be JL for reference angle J. The opposite and adjacent swap when you swap the reference angle.
The hypotenuse is always the longest side and always opposite the largest angle (always opposite the 90 degree angle).
------------
An example calculation would be:
sin(angle) = opposite/hypotenuse
sin(J) = LK/JL
sin(J) = 30/34
sin(J) = 0.8824
I'm referring to the triangle with sides 16,30,34. The other trig ratios are handled in pretty much the same way (use the rules mentioned above).
Peter flips a standard coin twice What is the probability that the coin lands on tails both times?
А. 1/4
B. 2
C. 1
D. 1/2
PLEASE ANSWER FASTTT
answer:
the answer is going to be ½
Task 21 The north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of Earth. The sea floor below the north pole is at an elevation of approximately -2.7 miles. The elevation of the south pole is about 1.7 miles. How far is a person standing on the south pole from a submarine at the sea floor below the north pole?
Sam took a flight from Malaysia to UK. He left Malaysia at 12 pm local time. The flight time was 12 hours. If Malaysia is 7 hours ahead of UK, what was the local time in UK when he arrived?
Given:
Sam left Malaysia at 12 pm local time.
The flight time was 12 hours.
Malaysia is 7 hours ahead of UK.
To find:
The local time in UK when he arrived.
Solution:
It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.
12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.
Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.
12 am is midnight. So, 7 hours before 12 am is 5 pm.
12 am - 7 hours = 5 pm
Therefore, the local time in UK when he arrived is 5 pm.
Question 16. Use the Triangle Inequality Theorems to determine if a triangle can exist with the given side lengths. (HINT: A triangle with sides a, b and c
exists if and only if the sum of any two sides of the triangle is greater than
the third side.) *
7,16, 6
Answer:
no
Step-by-step explanation:
7 squared plus 6 squared is 85 while 16 squared is 256
4. At a convenience store, juice costs $3.25 and magazines cost $8.50. What is an algebraic expression for
the total income received by the convenience store for the sale of juice and magazines?
b) 3.25W + 8.57 c) 3.25j + 8.5m d) none of the above
Answer:
the answer is c
Step-by-step explanation:
juice would be 1 variable and magazines would be another. u would put each variable next the things that they represent, so j for juice would be put with 3.25 because that's how much 1 bottle costs. The variable m would be with 8.5 because that's how much the magazines cost.
Which of the following is the equation of the line with a slope 3 and y-intercept of 4?
A.3x+y+4=0
B.3x-y-4=0
C.3x-y+4=0
D.3x+y-4=0
Answer:
B.
Step-by-step explanation:
-y = -3x + 4
y = 3x - 4
slope 3 y-intercept 4
Which ordered pairis a solution to the system of inequalities graphed here
Answer:
B. (1,4)
Step-by-step explanation:
If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.
Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =
Answer:
16
Step-by-step explanation:
f(x) = (-4 + x)^2
Let x=8
f(8) = (-4 + 8)^2
Parentheses first
= 4^2
Then powers
= 16
A pole that is 3.4 m tall casts a shadow that is 1.61 m long. At the same time, a nearby building casts a shadow that is 36.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
Step-by-step explanation:
Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:
[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:
1.61x = 124.95 so
x = 78 m
Simplify the expression below: (3k2 – 2k + 5) - (2k2 – 5k + 1)
Answer:
(3k² - 2k + 5) - (2k² - 5k + 1)
k² + 3k + 4 is the answer in simplify this expression
how to find Rational numbers on numberline
Answer:
expand the distance between the nearest two integers on your numberline. so, you can find many rational numbers such as fractions between them.
Answer: In representation of rational numbers on the number line are discussed here. We know how to represent integers on the number line.To represent the integers on the number line, we need to draw a line and take a point O on it. Call it 0 (zero).
Set of equal distances on the right as well as on the left of O. Such a distance is known as a unit length. Let A, B, C, D, etc. be the points of division on the right of 'O' and A',B', C', D', etc. be the points of division on the left of 'O'. If we take OA = 1 unit, then clearly, the point A, B, C, D, etc. represent the integers 1, 2, 3, 4, etc. respectively and the point A', B', C', D', etc. represent the integers -1, -2, -3, -4, etc. respectively.
Please do not put any files and links. pick 1 answer. help please this is so hard for me tbh
Answer:
let's convert the 25 yards into feets -> 75 feet of wire.
now let's subtract the alrdy used 15 ½ feet from we that
we got 59 ½ feet left
now let's just take ⅓ of this, just by dividing by 3.
since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.
59 ½ feet = 59½*12 inches = 714 feet
now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)
⅓ of 714 is just as dividing 714 by 3
= 238
the time machine needs 238 inches of wire
this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations
What's the relationship between y and x
Answer:
Step-by-step explanation:
The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.
10 Jenny has 12 marbles.
1
of these 12 marbles are large.
4
The rest of these 12 marbles are small.
Each large marble has a weight of 70 grams.
Each small marble has a weight of 50 grams.
Work out the total weight of the 12 marbles.
Answer:
620
Step-by-step explanation:
12-1=11
11x50
1x70
add the two totals and you should get 620
Hope this helps!
Help me please and no links
Answer:
x = -2
x=-12
Step-by-step explanation:
5 | x+7| +14 = 39
Subtract 14 from each side
5 | x+7| +14-14 = 39-14
5 | x+7| = 25
Divide each side by 5
5 | x+7| /5 = 25/5
| x+7| = 5
Make two equations, one positive and one negative
x+7 =5 x+7 = -5
Subtract 7 from each side
x+7-7 = 5-7 x+7-7 = -5-7
x = -2 x=-12