Answer:
216
Step-by-step explanation:
Volume of a rectangular prism = area of base * depth
Area of base: 72
Depth: 3
Volume = 72 * 3 = 216
The sum of the numerator and denominator of a
fraction is 12. If the denominator is increased by 3,
the fraction becomes 1/2.
Find the fraction.
plz answer step by step
[tex]x+y=12\\\dfrac{x}{y+3}=\dfrac{1}{2}\\\\x=12-y\\2x=y+3\\\\2(12-y)=y+3\\24-2y=y+3\\3y=21\\y=7\\\\x=12-7=5\\\\\dfrac{x}{y}=\dfrac{5}{7}[/tex]
Match the part of the circle to its correct name.
Answer:
a. major arc
b. minor arc
c. semi circle
d. central angle
Find the measure of b
Answer:
b = 76°
Step-by-step explanation:
According to the inscribed angles proposition, the measure of an inscribed angle in a semicircle is said to be 90°.
Therefore, in the figure given, m<a = 90°
b = 180° - (90° + 14°) => sum of angles in a triangle.
b = 180° - 104°
b = 76°
Quina is cooking fish for a group of travelers quina has 78 huge fish and each fish can feed 3 travelers. how many travelers can Quina feed?
Answer:
234 people
Step-by-step explanation:
1 fish = 3 people
Multiply each side by 78
1*78 = 3 *78
78 fish = 234 people
Answer:
234 traveling people
Step-by-step explanation:
78 times 3 equals 234
A united states presidential coin is made from an alloy of 4 metals-copper, zinc, manganese, and nickel- with weights in the ratio of 177:12:7:4 respectively. The coin weighs a total of 8 grams. What is the weight of the zinc in this coin?
Answer:
0.32 grams
Step-by-step explanation:
ratio of weight of -copper, zinc, manganese, and nickel = 177:12:7:4
let the
weight of copper = 177x
weight of zinc = 12x
weight of manganese = 7x
weight of nickel = 4x
Total weight of this alloy in terms of x = 177x + 12x+ 7x + 4x = 300x
given weight of alloy = 8 grams
thus,
weight of this alloy in terms of x =given weight of alloy
300x = 8 grams
x = 8/300 grams =
weight of zinc = 12x = 12 * 8/300 grams = 96/300 grams = 0.32 grams
whats the factored form of 6x 2 - 8x - 8 = 0
Answer:
2(x -2)² = 0
Step-by-step explanation:
2(x² - 4x - 4) = 0
2(x -2)² = 0
x = 2
Answer:
[tex]2(3x-2)(x+2)=6x^2-8x-8[/tex]
The factored form of [tex]6x^2-8x-8=0[/tex] is [tex]2(3x-2)(x+2)=0[/tex]
Step-by-step explanation:
[tex]6x^2-8x-8=0[/tex]
The way the quadratic equation was given, we can't have a factored form in the format: [tex](ax-b)(cx+d)[/tex]
First, divide both sides by 2
[tex]3x^2-4x-4=0[/tex]
Now, it is about thinking. From the equation, we will get something in the format: [tex](ax-b)(cx+d)[/tex]
Let's expand this: [tex](ax-b)(cx+d) = acx^2+adx-bcx-bd[/tex]
From here, we can give some values for those variables, based on the quadratic equation [tex]3x^2-4x-4=0[/tex]:
[tex](3x-b)(x+d) = 3\cdot 1\cdot x^2+3dx-b\cdot 1 \cdot x-bd= \boxed{3x^2+3dx-bx-bd}[/tex]
Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.
[tex](3x-2)(x+2) = 3\cdot 1\cdot x^2+3(2)x-(2)\cdot 1 \cdot x-(2)(2)= \boxed{3x^2+6x-4x-4}[/tex]
Therefore,
[tex](3x-2)(x+2)=3x^2-4x-4[/tex]
But we are not ready yet!
This is the factored form of [tex]3x^2-4x-4=0[/tex], to get the factored form of the problem equation, just multiply the factored form we got by 2.
[tex]2(3x-2)(x+2)=6x^2-8x-8[/tex]
Please answer ASAP please and thank you
Answer:
27/10
Step-by-step explanation:
You want to get a common denominator in order to add them together.
First:
Convert the whole numbers to fractions, 4 = 8/2
4 1/2 = 9/2
And 1 = 10/10
1 8/10 = 18/10
Then find the common denominator:
The least common multiple of 2 and 10 is 10. So:
convert 9/2 to a denominator of 10 : 9*5 / 2*5 = 45/10
Subtract:
45/10 - 18/10 = 27/10
Answer:
27/10
Step-by-step explanation:
1. Change the mixed fractions to improper fractions
9/2 -9/5
2. Find the LCD, 10
3. multiply to get the denominator to 10
45/10 - 18/10
4. Deal with the numerators 45-18=27
5. 27/10
Ratio: the ratio of men to women working for a company is 4 to 3. If there are 196 employees in total, how many are women?
Answer:
84 women
Step-by-step explanation:
Using Algebra, we can apply the ratio of men and women, 4 and 3, in a format that can be used in an equation.
4x = men and the unknown variable that will solve the amount of men
3x = women and the unknown variable that will solve the amount of women
Now, we will use the other provided piece which is the total amount of employees, and we will put together an equation!
4x + 3x = 196
We will use this equation to solve for X by the process of addition and division.
4x + 3x = 196
7x = 196
196 ÷ 7 = 28
x = 28
Now we will use this variable and apply it for x to find the number of women.
3 x 28 = 84 women!
Checking the answer:
4 x 28 = 112 men
84 + 112 = 196
Therefore, this answer checks out.
Cody is a lifeguard and spots a drowning child 40 meters along the shore and 70 meters from the shore to the child. Cody runs along the shore for a while and then jumps into the water and swims from there directly to the child. Cody can run at a rate of 4 meters per second and swim at a rate of 1.1 meters per second. How far along the shore should Cody run before jumping into the water in order to save the child? Round your answer to three decimal places.
Answer:
Cody should run approximately 19.978 meters along the shore before jumping into the water in order to save the child.Thus,
Step-by-step explanation:
Consider the diagram below.
In this case we need to minimize the time it takes Cody to save the child.
Total time to save the child (T) = Time taken along the shore (A) + Time taken from the shore (B)
The formula to compute time is:
[tex]time=\frac{distance}{speed}[/tex]
Compute the time taken along the shore as follows:
[tex]A=\frac{x}{4}[/tex]
Compute the time taken from the shore as follows:
[tex]B=\frac{\sqrt{70^{2}+(40-x)^{2}}}{1.1}[/tex]
Then the total time taken to save the child is:
[tex]T=\frac{x}{4}+\frac{\sqrt{70^{2}+(40-x)^{2}}}{1.1}[/tex]
Differentiate T with respect to x as follows:
[tex]\frac{dT}{dx}=\frac{d}{dx}[\frac{x}{4}]+\frac{d}{dx}[\frac{\sqrt{70^{2}+(40-x)^{2}}}{1.1}][/tex]
[tex]=\frac{1}{4}-\frac{1}{1.1}\cdot \frac{(40-x)}{\sqrt{70^{2}+(40-x)^{2}}}[/tex]
Equate the derivative to 0 to compute the value of x as follows:
[tex]\frac{dT}{dx}=0[/tex]
[tex]\frac{1}{4}-\frac{1}{1.1}\cdot \frac{(40-x)}{\sqrt{70^{2}+(40-x)^{2}}}=0\\\\\frac{1}{1.1}\cdot \frac{(40-x)}{\sqrt{70^{2}+(40-x)^{2}}}=\frac{1}{4}\\\\4\cdot (40-x)=1.1\cdot [\sqrt{70^{2}+(40-x)^{2}}]\\\\\{4\cdot (40-x)\}^{2}=\{1.1\cdot [\sqrt{70^{2}+(40-x)^{2}}]\}^{2}\\\\16\cdot (40-x)^{2}=1.21\cdot [70^{2}+(40-x)^{2}}]\\\\16\cdot (40-x)^{2}-1.21\cdot (40-x)^{2}=5929\\\\14.79\cdot (40-x)^{2}=5929\\\\(40-x)^{2}=400.88\\\\40-x\approx 20.022\\\\x\approx 40-20.022\\\\x\approx 19.978[/tex]
Thus, Cody should run approximately 19.978 meters along the shore before jumping into the water in order to save the child.
Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.
Answer:
Approximately 17 stars
The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that both products launched, is 0.35. What is the probability that Neither will of these products launch? (04) At least one product will be launched ?
Answer:
1) 0.3 ; 0.7
Step-by-step explanation:
Given the following :
Probability that product A launch : P(A) = 0.45
Probability that product B launch : P(B) = 0.60
Probability that both product launch : P(AnB) = 0.35
P(A alone) = p(A) - p(AnB)
P(A alone) = 0.45 - 0.35 = 0.1
P(B alone) = p(B) - p(AnB)
P(B alone) = 0.60 - 0.35 = 0.25
Probability that neither product will launch :
1 - [p(A alone) + p(B alone) + p(AnB)]
1 - [0.1 + 0.25 + 0.35]
1 - 0.7 = 0.3
Probability that at least one product will launch :
P(A alone) + p(B alone) + p(AnB)
0.1 + 0.25 + 0.35 = 0.7
Select the graph of the solution. Click until the correct graph appears.
|x| = 2
Answer:
the question seems incomplete or maybe am unable to solve it
Answer:
the number line with the clear circles
Step-by-step explanation:
How many terms are in 3x + 2y + 8z?
Answer:
three terms
Step-by-step explanation:
3x + 2y + 8z
Since we cannot simplify
There are three terms
3x, 2y, 8z
You land a job as an police officer. Your salary for the 1st year is $43,125. You will receive a 7% increase every year. How much will your salary be at the start of year six?
Answer:
Salary after 5 year(A) = $60,485 (Approx)
Step-by-step explanation:
Given:
Staring salary(P) = $43,125
Growth rate(r) = 7%
Number of year (n) = (6-1) = 5
Find:
Salary after 5 year(A)
Computation:
[tex]A=P(1+r)^n \\\\ A = 43125(1+0.07)^5 \\\\ A = 60485[/tex]
Salary after 5 year(A) = $60,485 (Approx)
A beach is 7.3 miles wide and 30 miles long. If one inch of rain falls on this beach, how many cubic feet of rain fell in this area? Hint: convert units to feet first.
Answer:
Step-by-step explanation:
volume=7.3×1760×3×30×1760×3×1/12=73×176×90×440=508780800 ft³
Answer:
508,780,800 ft³ of rain
Step-by-step explanation:
In order to do the computation, we need to express all the given lengths in feet.
recall that 1 mile = 5280 feet
hence,
width = 7.3 miles = 7.3 x 5280 = 38,544 feet
length = 30 miles = 30 x 5280 = 158,400 feet
also recall that 1 inch = 1/12 feet
hence,
depth of rainfall = 1 inch = 1/12 feet
Volume of rain = width of beach x length of beach x depth of rainfall
= 38,544 x 158,400 x (1/12)
= 508,780,800 ft³ of rain
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
Answer:
12
Step-by-step explanation:
Because you add 8 to the 40 which is 48 then divide equaling 12
Answer:
12
Step-by-step explanation:
40+8=48
48/4=12
Jaden’s teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got?
Answer:
x = (4y-6)/17
where x is the number of pens each student got.
Step-by-step explanation:
No. of boxes = 4
no. of pen in 1 box = y
total no, of pens in 4 box = No. of boxes *no. of pen in 1 box = 4y
No. of pen took away by Jaden's teacher = 6
no. of pens left = 4y - 6
This, 4y - 6 pen has to be divided among 17 students.
Let each student get x pen
thus, total no. of pen got by 17 student = 17x
This, 17x should be equal to total no. of pens available which is 4y-6
17x = 4y-6
=> x = (4y-6)/17
Thus, expression to represent number of pens each student got
is x = (4y-6)/17
Answer:
4y-6/17
Step-by-step explanation:
Jaden’s teacher had 4 boxes of pens that each contained y pens.
Number of boxes of pen = 4
Number of pens per box = y
Total number of pens = 4 x y = 4y
She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.
Total number of pens left = 4y - 6
Number of students = 17
The triangles are similar. Find X.
Answer:
By proportion :-
x/2.8 = 3/2.4
x = 3(2.8)/ 2.4
x= 3.5
Answer: C) 3.5
《OAmalOHopeO》
What is the value of this expression when c = -4 and d = 10?
Answer:
[tex]\Large \boxed{\mathrm{\bold{B. \ 9}}}[/tex]
Step-by-step explanation:
Plug in c = -4 and d = 10 for the expression.
1/4(-4³ + 10²)
Evaluate the expression.
1/4(-64 + 100)
1/4(36)
36/4 = 9
Answer:
[tex]\huge\boxed{B. \ \ 9}[/tex]
Step-by-step explanation:
1/4 (c³ + d²)
Given that c = -4 and d = 10
1/4 ( -4³ + 10²)
1/4 ( -64+100)
1/4 ( 36 )
=> 9
Please help asap! Will give brainly
=========================================================
Work Shown:
The notation f(4) means we want to find f(x) when x = 4.
If x = 4, then we go for the middle definition since 4 makes [tex]3 \le x \le 10[/tex] to be true (ie, 4 is between 3 and 10)
Therefore,
f(x) = x^2 - 7 when [tex]3 \le x \le 10[/tex]
f(4) = 4^2 - 7
f(4) = 16 - 7
f(4) = 9
Answer:
f(4) = 9
Step-by-step explanation:
4 is between 3 and 10 so we use the middle function
f(4) = x^2 -7
= 4^2 -7
= 16 -7
= 9
What is the solution for 5x-9 is less than or equal to 21
Answer:
Step-by-step explanation:
5x - 9 <= 21
5x <=30
x <= 6
lallenge
Isabel tried to evaluate an expression step by step.
(2+8) +8
=2 + (8 +8) Step 1
=2 +0
Step 2
Find isabel mistake
Answer:
8+8 =16 not 0
Step-by-step explanation:
First she used associative property of addition. After that 8 + 8 = 16
but she wrote 0
she added them wrong
pls help me asap!!!!!!!!
Answer:
Center: (9,3)
Radius: 9 units
Step-by-step explanation:
[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]
[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]
[tex](x-9)^{2} +(y-3)^{2} =81[/tex]
Center: (9,3)
[tex]r^{2} =81[/tex] → [tex]r=9[/tex]
Radius : 9 units
-----------------------
OAmalOHopeO
-----------------------
Please help!!! Find the length of MK
Answer:
HK = 42
HM = 23
MK = ??
23 + MK = 42
MK = 19
^^^ so you're correct :)
Let me know if this helps!
A company makes nylon and canvas backpacks. The profit on a nylon backpack is $3 and the profit on a canvas backpack is $10. How many backpacks must the company sell to make a profit of more than $250? Write a linear inequality that describes the situation.
Answer:
3x +10y is greater than or equal to 250.
Step-by-step explanation:
The question asks us to write an inequality which shows that both nylon and canvas added should be greater than or equal to 250.
Since we don't know the number of nylon backpacks and canvas backpacks the company makes, we used the variables "x" and "y" to represent the number of backpacks they made from each style.
Answer:
3n + 10c > 250
Step-by-step explanation:
I confirmed it in grandpoint
A classroom floor has an area of
(30x^3 + 8x^2, with a width of 2x feet.
What is the length of the floor?
Answer:
15x² + 4x feet
Step-by-step explanation:
We need to calculate (30x³ + 8x²) / 2x.
(30x³ + 8x²) / 2x
= 30x³ / 2x + 8x² / 2x
= 15x² + 4x
Msr walkers class set up an online fund with a goal to raise 1280
Answer: is brainly broken for u too??
Step-by-step explanation:
Which property is shown in the matrix addition below?
5
-1
0
5
-7
0.4
0
-7
0
0.4
+
+
+
6.2
-8.5
-9.9
6.2
-9.9
-8.5
12
0
2
12
0
2
inverse property
identity property
commutative property
associative property
Help please!
Answer:
associative property
The solution is, property is shown in the matrix addition below is
associative property.
Here, we have,
The property shown in the given matrix addition is associative property.
Let's define associative property first,
The Associative Property of Addition for Matrices states :
Let A , B and C be m×n matrices .
Then, (A+B)+C=A+(B+C) .
Associative Law of Addition of Matrix:
Matrix addition is associative. This says that, if A, B and C are Three matrices of the same order such that the matrices B + C, A + (B + C), A + B, (A + B) + C are defined then A + (B + C) = (A + B) + C.
Since P and Q are of the same order and pij = qij then, P = Q.
Here, from the given information,
we get, A , B and C be 4×1 matrices,
and, (A+B)+C=A+(B+C)
So, The solution is, property is shown in the matrix addition below is
associative property.
To learn more on matrix click:
brainly.com/question/30646566
#SPJ7
Find the area. Round to the nearest tenth.
6 ft
3 ft
12.16 ft
9.16 ft
Answer:
100.5 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w
A = 12.16 * 6
A =72.96 ft^2
Then find the area of the triangle
A = 1/2 bh
The base is 12 ft - 6ft = 6ft
The height is 9.16 ft
A = 1/2 ( 9.16) * 6
A = 27.48 ft^2
Add them together
27.48+72.96
100.44 ft^2
Round to the nearest tenth
100.5 ft^2
Answer:
[tex]\huge \boxed{\mathrm{100.4 \ ft^2 }}[/tex]
Step-by-step explanation:
To find the area of the shape, we can add the area of the rectangle with the area of the triangle.
Area of rectangle :
base × height
6 ft × 12.16 ft
72.96 ft²
Area of triangle :
base × height × 1/2
(12 ft - 6 ft) × 9.16 ft × 1/2
6ft × 9.16 ft × 1/2
27.48 ft²
Adding the areas.
72.96 ft² + 27.48 ft²
100.44 ft²
≈ 100.4 ft² (rounded to nearest tenth)
What’s the value of X
Answer:
Step-by-step explanation:
Use the Law of Sines for this. Set it up as follows:
[tex]\frac{sin(x)}{6}=\frac{sin(61)}{6.2}[/tex] Cross multiply:
6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:
[tex]sin(x)=\frac{6sin(61)}{6.2}[/tex]
Work on the right side first. Plug that into your calculator to get
sin(x) = .8464061682
Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:
[tex]sin^{-1}([/tex]
After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.