Answer:
The total area being covered is 3,528 square inches
Step-by-step explanation:
Mathematically, we can deduce the shape of the drawer using the dimensions.
With the dimensions given, we can infer that the drawer is shaped like a match box which thus is in the shape of a cuboid.
We can then proceed to find the area of the cuboid.
Mathematically, the area of a cuboid can be calculated as;
2(lb + lh + bh)
Kindly note we need to have a uniform unit before we proceed to calculate the area.
Mathematically, 1 yard is 36 inches
So the sides of the drawer measures 36 inches by 29 inches by 9 inches
Thus, the area is thus;
2( 29(9) + 36(29) + 9(36))
= 2(261 + 1044 + 324)
= 2(1629)
So the area of the drawer is 3,528 square inches
What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10
Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
simplify the expression (5x^7)^2
Answer:
25x^14
Step-by-step explanation:
15-2
6. What is the value of the expression "eight more than three times the difference of four and a number' when
n = 3? (LEVEL 4)
Answer:
11
Step-by-step explanation:
3(4-n)+8
n=3 so
3(4-3)+8
3(1)+8
3+8
11
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Answer:
5 cents
Step-by-step explanation:
If bat + ball = 1.10 and the bat is a dollar more you know that the bat must cost at least 1 dollar. Divide the ten cents by two to split it evenly between the two and $1.05 is one dollar more than 5 cents
The original blueprint of a concrete patio has a scale ofmath2inches=3feet. Victoria wants to make a new blueprint of the patio with alength of 16.8 inches. PART A What is the scale for the new blueprint? math 1inch= feet PART B What is the width, in inches, of the blueprint with the new scale?
Complete question :
the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?
Answer:
2.5 fts, 14.4 fts
Step-by-step explanation:
Given that:
Scale of original blueprint : 2inches = 3 feets
To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :
Original scale : 2 inches = 3 feets
Original blueprint length = 14 inches
Then,
2 inches = 3 feets
14 inches = d
Cross multiply :
2d = 42
d = 21 feets
Hence, new scale for blueprint :
16.8 inches = 21 feets
2 inches = d
16.8d = 42
d = 2. 5 feets
For the width :
14 inches = 16.8 feets
12 inches = w
14w = 201.6
w = 201.6/14
Width = 14.4feets
what is the maximum number of terms a fourth-degree polynomial function in standard form can have?
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
The general form of an nth degree polynomial is:
[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
The maximum number of terms that an nth -degree polynomial can have is n+1
For a fourth degree polynomial, n = 4
Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]
The maximum number of terms of p(x) above, when n = 4 is (4+1)
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
Learn more here: https://brainly.com/question/22340393
Help I need to pass this
Answer:
bottom right hand corner is false
Step-by-step explanation:
Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure
Find the unit rate: $23.96 for 4 pounds
Answer:
5.99 dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
What is 0.18 divided by 7.56 plzz help me and the others ones to
Answer:
0.023
Step-by-step explanation:
PLEASE HELP ME!!
Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)
A) front-end estimation
B) rounding to the nearest tenth
C) rounding to the nearest whole number
D) compatible numbers
Answer:
C sorry if im wrong
Step-by-step explanation:
its what i think
Answer:
A. front-end estimation.
Step-by-step explanation:
I got it right on the test. It'd be appreciated if this was marked as brainliest.
What is five times seven divided by nine
Answer:
3.9 or 3.88888888889
Step-by-step explanation:
5*7=35
35/9=3.88888888889=3.9
Answer:
5*7 = 35 / 9 =3
Step-by-step explanation:
because it is the closest
Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Dreams Hotel are vacant? Pick the model that represents the problem.
Answer:
20%
Step-by-step explanation:
First of all I don't known what the model thing is but I'll tell you the percent
25 /25
125 /25
= 1/5
1/5 as a percent=
1 *20
5 *20
= 20%
David's favorite snack cake is $0.25 if bought individually , or $1.50 for a box of 10. How much less is the price per cake when bought in a box?
Answer:
$1.25
Step-by-step explanation:
Subtract $0.25 by $1.50
$1.50-$0.25=$1.25
BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
Answer:
1102.5 pounds
Step-by-step explanation:
If someone could help me I would really appreciate it!
Factor by slide and divide!
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)
PLEASE ANSWER ASAP
1.) the sum of two numbers is 42, the difference is 30. find the two numbers
2.) the perimeter of a rectangle is 62cm, the length is 1cm more than twice the width, what are the dimensions of the rectangle?
3.) in blue river terry can row 36km downstream in three hours, but it takes him 6 hours to row the same distance upstream, find the rate he rows in still water and the rate of the current.
4.) the cost of 8 avocados and 3 tomatoes is $8.39, the cost of 4 avocados and 12 tomatoes is $11.44. find the cost of each avocado and each tomato.
5.) coffee is worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. how much of each coffee was used to produce 44 pounds of blended coffee?
Answer:
1.) The two numbers are 36 and 6.
2.) 42cm + 20cm = 62cm
3.) 3km/hr = rate of current
4.) Each cost 0.79 cents
5.) Mixed is 16 lbs
Blended is 28 lbs
Step-by-step explanation:
The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?
Answer:
Step-by-step explanation:
10hours
given the definition of f (x) and g(x) below find the value of g(f(-1)).
f(x)=3x²+5x-7
g(x)=2x+13
Answer:
-29
Step-by-step explanation:
first do the f function which gets you g(-21)
then do the g function
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
I need help please I don’t understand this
Answer:
cosB = 21/75, tanB = 72/21
Step-by-step explanation:
Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:
SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan, o is opposite and A is adjacent.
Complete the equation of the line through(−6,−5),(-4,-4)
Answer:
y=ax+b
bring in (-6,-5)
=>-5=-6a+b
=>6a-5=b
bring in (-4,-4)
=>-4=-4a+b
=>4a-4=b
b=6a-5=4a-4
6a-5=4a-4
2a=1
a=1/2
then b=6*(1/2)-5=-2
y=ax+b
=>y=(1/2)x-2
Which rule describes the transformation?
I think its (x,y-(-x,-y)
Is √3,600 rational? Or a perfect square
Answer:
Yes to both
Step-by-step explanation:
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
Solve for x.
3y = x + 8
72 + (7x+24) = 180
need to find value of x with steps
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
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What is the slope of the line???
PLEASE HELP!?
Simplify
-5y - X + 7 - 2y + 3x + 4
Answer:
-7y + 2x + 11
Step-by-step explanation:
-5y - X + 7 - 2y + 3x + 4
-7y + 2x + 11
Answer: 2x-7y+11
Step-by-step explanation:
Add the x's and then add the y's. add the 4 and seven because they do not have a variable.
what are all the factors of 21?
Answer:
1, 3, 7, 21
p-by-step explanation: