Tonya is packing a moving truck with
boxes. Each box is 8 inches high. The
space remaining is 56 inches high. A
space of 2 inches must be left on top.
4. What is the maximum number of
boxes that will fit in the remaining
space?
A.4
B.5
C. 6
D.7
Answers
Answer:
C. 6
Step-by-step explanation:
You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.
RelationThe number (n) of boxes and the required empty space that can fit in the available space is ...
8n +2 ≤ 56
8n ≤ 54
n ≤ 6 3/4
6 boxes will fit in the remaining space.
Related Questions
13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?
Answers
Answer:
Step-by-step explanation:
80% of 25 = 5
because 10% of 25 = 2.5
and then 10 x 8 = 80
so 2.5 x 8 = 20
25 - 20 = 5
therefore, the percentage change is 80%
GIVE BRAINLIEST
hope this helped,
-cheesetoasty
xy+1
for
x=6 and y= -4
Answers
Answer:
-23
Step-by-step explanation:
6x4=-34+2=-23
help........................
Answers
Answer:
a
Step-by-step explanation:
Mensah is 5 years old and Joyce is thrice as old as Mensah. In how many years will Joyce be twice as old as Mensah?
Answers
9514 1404 393
Answer:
5 years
Step-by-step explanation:
We want to find x such that ...
2(5 +x) = 15 +x . . . . . after x years, Joyce will be 2 times as old
10 +2x = 15 +x . . . . . eliminate parentheses
x = 5 . . . . . . . . . . . subtract x+10
Joyce will be twice as old as Mensah in 5 years.
Answer:
Joyce will be twice as old as Mensah in 5 years.
Step-by-step explanation:
Lets find the square of the no. from 1 to 10. Then observe the digits at one's place of each square no. what did you notice Write a short note.
Answers
The observation of the pattern is discussed below.
When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.
This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.
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What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
Answers
Simplify 3 + 5(x - 4)
Answers
Answer:
5x - 17
Step-by-step explanation:
3 + 5x - 20
= 5x - 17
letters cost $1 each to send in the mail and packages cost $5 each the equation x + 5y = 25 describes how many letters and packages you can send for $25 find the y intercept and explain what it means
Answers
Answer:
y is the packages in the equation
Jakob received a $1,000-a-year raise in January, sold stocks in March for $6,000 that were originally purchased for $4,000, and in July had a $100 monthly
increase in mortgage payments on his adjustable rate mortgage. The increased mortgage payment started in July and was in effect for the remainder of the year.
What was the total impact on Jakob's cash flow for the year?
|
A. $5,400
B. $7,600
C. $6,400
D. $1,000
Answers
The total impact on Jakob's cash flow for the year is C. $6,400.
How to calculate the value?It should be noted that Jakob received a $1,000-a-year raise in January, sold stocks in March for $6,000 that were originally purchased for $4,000.
The impact will be:
= Raise + Sale of stock - Mortgage
= 1000 + 6000 - 600
= 6400
Therefore, the correct option is C
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Use the parallelogram to find m
m
Answers
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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Find two numbers . A and B , that have the product of 64and the sum of 16
Answers
Answer:
8 and 8
Step-by-step explanation:
8+8 = 16
8*8=64
Help, please! With workings too!
I'm thinking of a 3-digit number.
When it is divided by 9, the remainder is 3
When it is divided by 2, the remainder is 1
When it is divided by 5, the remainder is 4
What is my number?
Answers
3-digit number is abc. ( just call it)
abc= 9d + 3, meaning abc = 3e
abc = 2k + 1, meaning abc is an odd number
abc = 5t + 4, meaning c = 9 ( because abc is an odd number so c can not be 4)
so a+b must be equal 3.
abc can be 309, 219, 129
PlZ! Help I will give the brainliest
Answers
Answer:
5 and a half times
Step-by-step explanation:
A sales representative must visit four cities. Omaha, Dallas, Wichita and Oklahoma City. There are direct air connections between each of the cities. Use the multiplication rule of counting to determine the number of differenct choices the sales representative has for the order in which to visit the cities. Use the multiplciation rule of counting to determine the number of possible sequences of the cities. There are four choices for the first city, three choices for the second city, two choices for the third city and one choice for the fourth city.
Answers
The sales representative has 24 possible sequences of cities to visit.
The multiplication rule of counting states that if there are n choices for the first event, m choices for the second event, p choices for the third event, and q choices for the fourth event, then there are a total of n x m x p x q possible sequences of choices. Applying this to the situation of the sales representative visiting four cities, we can say that there are 4 x 3 x 2 x 1 = 24 possible sequences of the cities.
To break this down further, the sales representative has 4 choices for the first city, Omaha, Dallas, Wichita, and Oklahoma City. Once the first city has been chosen, there are then 3 choices for the second city, Omaha, Dallas, and Wichita. From these 3 choices, there are then 2 choices for the third city, Omaha and Dallas. And then finally, there is 1 choice for the fourth city, Omaha. Multiplying these numbers together gives us 4 x 3 x 2 x 1 = 24 possible sequences of cities.
Therefore, the sales representative has 24 possible sequences of cities to visit.
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Which point would NOT be a solution to the system of linear inequalities shown below?
Answers
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in lòng are cut from the four corners
and the flaps are folded upward to form an open box. If the volume of the box is 234 in³, what were the original
dimensions of the piece of metal?
Answers
The original dimensions of the piece of metal were 15 inches by 20 inches.
To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.
When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.
The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.
Substituting the values, we have:
234 = (x+3)(x-2)(1)
Simplifying the equation, we get:
234 = x^2 + x - 6
Rearranging the equation, we have:
x^2 + x - 240 = 0
Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.
Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.
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Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?
Answers
Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.
Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.
La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.
Step-by-step explanation:
The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?
Answers
Answer:
Step-by-step explanation:
W = 4L-17
LW = 15
L(4L-17) = 15
4L^2-17L-15= 0
L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4
-3/4 is an extraneous solution
L = 5 cm
W = 4L-17 = 3 cm
The graph represents the piecewise function: f (x) ={ , if -3
Answers
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
1) complete the special right triangle
what is length of BD
what is length of BC
Answers
Answer:
\(BD = 4\)
\(BC =4\sqrt 3\)
Step-by-step explanation:
Given
The attached triangle
Required
Find BD and BC
Solving BD
Considering angle at D, we have:
\(\cos(D) = \frac{Adjacent}{Hypotenuse}\)
\(\cos(60) = \frac{BD}{8}\)
Solve for BD
\(BD = 8 * \cos(60)\)
\(\cos(60) = 0.5\) So:
\(BD = 8 * 0.5\)
\(BD = 4\)
To solve for BC, we make use of Pythagoras theorem
\(CD^2 = BC^2 + BD^2\)
This gives
\(8^2 = BC^2 + 4^2\)
\(64 = BC^2 + 16\)
Collect like terms
\(BC^2 =64-16\)
\(BC^2 =48\)
Take square roots
\(BC =\sqrt{48\)
Expand
\(BC =\sqrt{16*3\)
Split
\(BC =\sqrt{16}*\sqrt 3\)
\(BC =4\sqrt 3\)
Select the correct answer. What is the fractional form of 0.02 ? A. 2/99 B. 1/11 C. 2/100 D. 1/12
Answers
Answer:
C) 2/100
Step-by-step explanation:
0.02 = 2/100
Answer:
It Is C
Step-by-step explanation:
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral. His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost $4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his vacation as planned?
Answers
Answer:
c took me a wiel but then realized it was just butterfly method to solve.
Step-by-step explanation:
Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?
Answers
Answer:
\(\huge\boxed{\sf 38}\)
Step-by-step explanation:
Given expression:= a³ + b (6 + c)
Put a = 2, b = 3 and c = 4
= (2)³ + 3 (6 + 4)
= 8 + 3(10)
= 8 + 30
= 38\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
the requied answer is 38.
according to the question the value of a=2,b=3,c=4.
here,
to find the value of a³ + b (6 + c)we have to do it in steps:
step 1: solve the bracket (6+4) =10.
step 2: solve the value of a³ =8.
now put these values ,
=8+3(10)
=38.
Hurry, please!!!
Solve this system of equations:
{y=2xx=-y+6
x =
[ Select ]
y =
[ Select ]
Answers
Answer:
(2,4)
Step-by-step explanation:
y=2x, x=-y+6
x=-y+6 ----> y = -x + 6
Now we have:
y = -x + 6
y = 2x
Now, we can set these equations to be equal to each other:
2x = -x + 6
3x = 6
x = 2
To find y, we can just substitue x into one of the originial equations:
y = 2x
y = 2(2)
y=4
Therefore, the answer to this system is (2,4).
Hope this helped!
Name an acute angle and give its measure.
Angle: ______ Measure: _____
Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____
Name one right angle. (1 point
Name one straight angle. (1 point)
Answers
11. Angle KEF = 40°, Angle KEJ = 50°
12. Angle HEF = 115°, Angle KED = 140°
13. Angle JEF = 90°, Angle KEF = 90°
14. Angle DEF = 180°
Define the term geometry?The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.
11. Acute angles: Those angles are less than 90 degree angles.
Angle KEF = 40°
Angle KEJ = 50°
Angle KEH = 75°
Angle JEH = 25°
Angle HED = 65°
12. Obtuse angles: Those angles are more than 90 degree angles.
Angle HEF = 115°
Angle KED = 140°
13. Right angle: Those angles are 90 degree angle.
Angle JEF = 90°
Angle KEF = 90°
14. Straight angle: Those angles make 180 degree angle.
Angle DEF = 180°
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an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed?
Answers
Answer:
answer is 12
Step-by-step explanation:
hope this helps
what is i^15 for imaginary numbers
Answers
Answer:
1^15 is 15
Step-by-step explanation:
Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters away from the hook. If Michelle is 20 meters away from the fish, how far below Michelle is the hook?
Answers
Answer:
12 meters
Step-by-step explanation:
You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12
PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?
(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)
A. 5 minutes
B. 10 minutes
C. 22.5 minutes
Answers
Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.
To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).
The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.
We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.
Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.
To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)
Density = 600g / 600 cubic feet = 1g/cubic foot
Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.
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Hello and it would be very helpful if you know these answers!
1. 15 decreased by the product of a number x and 4.
2. Your uncle is 2 years older than 3 times your age.
Answers
Answer:
1) 15-4x
2) 3x+2
Step-by-step explanation:
1) product of x and 4 is 4x then subtract that from 15
2) use x as your age in this situation so your age times 3 is 3x and since he's 2 years older than that u add 2 more