Answer:
w=10 cm
Step-by-step explanation:
The formula for the volume of a rectangular prism is V=whl.
So in this case, the equation would be 1560=w·12·(w+3). Then, we can simplify this equation.
1. Divide 12 to both sides of the equation. 1560/12=130. The equation becomes 130=w(w+3).
2. Distribute w through the parentheses, the equation becomes 130=w²+3w.
3. Then, -130 from both sides of the equation, so we can get the quadratic: w²+3w-130=0.
4. Factor the quadratic. w²+3w-130=(w-10)(w+13).
5. (w-10)(w+13)=0. w=10 or w=-13. However, w is the width of a rectangular prism, can the width of a shape be negative? No. So we can ignore the solution w=-13. Therefore, w=10cm.
6. To make sure our answer is correct, let's substitute the values back into the volume of a rectangular prism formula: V=whl. w=10; h=12; l=10+3=13; V=10(12)(13)=120*13=1560 cm³. As a result, our answer is correct, w=10 cm.
Hope this helps, have a nice day.
Max has $156. He spends 2/3 of his money on groceries. How much money did he have remaining? Explain.
Answer:
$52
Step-by-step explanation:
first 2/3*156 and you get 104
Then you do 156 -104 and you will have your answer
Answer:
Max has $52 remaining
Step-by-step explanation:
[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]
simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]
ANSWER ASAP WILL GIVE BRAINLIEST
What is the value of the y-intercept of the graph f(x)=138⋅1.9^x?
Answer:
Hi! The answer to your question is 138
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
( 0 , 0 )
Step-by-step explanation:
Find the length of the hypotenuse.
Answer:
25
Step-by-step explanation:
c-a=b
30-16=b
900-256=644
square root=25
cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.
Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
please help me please will give brainliest
Answer:
it's the 3rd option (eeeexxxxttteeennndddeeerrr)
Answer:
the correct answer is c i hoped this helped
Remove parentheses using the distributive property 9 ( x + 8)
Answer:
9x + 72
Step-by-step explanation:
Answer:
9x + 8
Step-by-step explanation:
Hope this helps have a nice day :)
*You don't have to read this part*
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Evaluate.
5^3 − (64/8) + 10^2
Enter your answer in the box.
Answer:
210
Step-by-step explanation:
Answer:
217
Step-by-step explanation:
5³ − (64/8) + 10²=125-8+100=217
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree.
Answer:
60.1°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin x = Opposite/Hypotenuse
x = Angle of Depression
Opposite = 15ft
Hypotenuse = 17.3ft
sin x = 15ft/17.3ft
x = arc sin (15ft/17.3ft)
x = arcsin(0.8670520231213873)
60.117851927°
Approximately Angle of depression = 60.1°
Find the slope of the line graphed below .
Answer:
the slope would be rise over run
it is shown in the graph it rise 3units and run 2units therefore it's 3/2
Find the value of x.
Answer:
x = -7
Step-by-step explanation:
All triangle angles add up to 180
84 + x + 59 + x + 51 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -7
What’s the answer????
Answer:
X = 9
Step-by-step explanation:
Find the size of x and y
Answer:
x = 50°
y = 50°
Step-by-step explanation:
x = y because it is an isosceles triangle
2x + 80 = 180°
2x = 100°
x = 50°
y = 50°
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color
Answer:
Blue = 30
Green = 24
Red = 54
Orange = 12
Step-by-step explanation:
hahahshahhahahahahahauehfudbrog f ghg
The time it takes to drive from the New York to Florida is normally distributed
with u = 19 hours and o = 2.5 hours. What is the probability that the next
time someone drives from NY to FL it will take between 20 and 24 hours?
Answer:
32.18%
Step-by-step explanation:
Just took the test
The final answer is: 32.18%
Got it right when I did it! :)
Plz help ASAP I will mark u branliest
Which number is a rational number?
9
13
V2
16
49
134
a class of 225 students,80 of them study Arabic only and 125 study french only. How many study both subjects.(venn diagram)
Answer:
20
Step-by-step explanation:
225-80=145
145-125=20
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
Mikel gave a $1.32 tip for an order that cost $8.80.
Determine whether or not each tip below is proportional to Mikel's tip.
Proportional to Mikel's tip
Not proportional to Mikel's tip
$2.22 tip for a $14.80 order
$1.86 tip for a $10.50 order
ООО
$0.78 tip for a $5.20 order
Answer:
Step-by-step explanation:
Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer
In the equation 3x - 9 = 3, what is the first step we should do?
Anse
draw the line down the equal sign
Step-by-step explanation:
Answer:
Step-by-step explanation:
add 9 to both and then cancel out both 9s and add 3 and 9 together
A number s divided by 2
Answer:
s/2 is the equation
Step-by-step explanation:
Heelp me, please.................
Answer:
B
Step-by-step explanation: