Answer:
21
Step-by-step explanation:
Volume of a cuboid is given by
V = l*w*h
924 = 4 (x+1) (x+11)
FOIL
924 = 4(x^2 +11x+x+11)
924 = 4(x^2+12x+11)
Divide each side by 4
231 = (x^2+12x+11)
Subtract 231 from each side
0 = x^2 +12x +11-231
0 = x^2 +12x - 220
Factor
0 = (x+22) (x-10)
Using the zero product property
x+22 =0 x-10 =0
x=-22 x=10
We cannot have a negative length
x=10
The side lengths are 4, 10+1, 10+11
4,11,21
The longest is 21
(a+b)^2= ???? hihihihihi
Answer:
(a+b)^2=a2+2.a.b+b^2
Answer:
(A+B)^2=A^2+2AB+B^2
Step-by-step explanation:
Unit 5 Geometry
i Betty's bedroom is 10; feet by 12 feet,
How much carpet does she need to buy
to cover the entire floor with no carpet
left over?
Answer:
B) 126 square feet
Step-by-step explanation:
10.5 x 12 = 126
(area)
There are 13 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio? (PICTURE)
Answer:
(a) 5:13
(b) 5:8
Step-by-step explanation:
There are 13 books in all.
8 books are new.
13 - 8 = 5 books are used.
Ratio of used books to all books: 5 used books : 13 books in total.
Ratio of used books to new books: 5 used books : 8 new books.
~
Answer
A= [tex]\frac{5}{13}[/tex] Or 5:13
B= [tex]\frac{5}{8}[/tex] or 5:8
Step-by-step explanation:
the question asked for you to show the ratio for the number of used books compared to the total number on the shelf. Since it tells us that 8 of the 13 books are new that would mean that the other 5 books that are on the shelf with the 8 new ones would be used. Then you just put it in a ratio, which if im remembering correctly from when i learned this it just looks like a fraction basically. Same goes for the second question except you are just putting the number of used books to the number of new books in ratio form. Hope this helps and also if you need help learning ratios i gotchu covered :)
The length of a rectangle is 7.5 inches and the width is 2.75 inches. What is the ratio, using whole numbers, of the length to the width
30:11
30:22
11:15
15:11
Answer:
30 : 11
Step-by-step explanation:
Length : Width
7.50 : 2. 75
750 : 275
30 x 25 : 11 x 25
30 : 11
A prescription requires 10 mg of tablet. A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet. Is the patient at risk and she should inform the doctor immediately?
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
What is a unitary method?Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given
Prescription requires 10 mg of tablet.
A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.
We know
1 g = 1000 mg
0.1 g = [tex]x[/tex]
⇒ [tex]x[/tex] × 1 = 0.1 × 1000
⇒ [tex]x[/tex] = 100 mg
10 mg < 100 mg
By using unitary method we can say that
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
Learn more about unitary method here
https://brainly.com/question/22056199
#SPJ2
2x - 5y + 3 = 6x - 3y + 7. If x = 4, what is the value of y?
Answer:
y = - 10
Step-by-step explanation:
2x - 5y + 3 = 6x - 3y + 7
2(4) - 5y + 3 = 6(4) - 3y + 7
8 - 5y + 3 = 24 - 3y + 7
11 - 5y = 31 - 3y
11 - 11 - 5y = 31 - 11 - 3y
- 5y = 20 - 3y
- 5y + 3y = 20 - 3y + 3y
- 2y = 20
- 2y ÷ - 2 = 20 ÷ - 2
y = - 10
The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).
In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
how do you find volume of sphere, cylinder, cone ? ... explaining please
Answer:
hmmmm
Step-by-step explanation:
Cone
The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together. The answer will be written in units³.
Sphere
The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together. The answer will be written in units³.
Cylinder
The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder). To calculate the volume we multiply these values together. The answer will be written in units³. It is more accurate to use π = 3.142 or the π button on a calculator.
A cone is a 3D shape with 2 faces and one edge
A sphere is a 3D shape. It has one continuous face and no edges
A cylinder is a type of prism. It has 3 faces and 2 edges
website I used: https://www.bbc.co.uk/bitesize/topics/zrf3cdm/articles/ztqsdxs
I hope this helped!
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
Find the missing length indicated
Answer:
The missing length is 80 degrees.
Step-by-step explanation:
Every triangle is equal to 180 degrees. If you add 64 and 36, you get 100. 180-100 is equal to 80, therefor x is equal to 80.
Use the Binomial Theorem to find the indicated coefficient or term.
The 3rd term in the expansion of (5x + 2) 3
Answer:
ans: coefficient of 3rd term is 60
3rd term is 60x
Step-by-step explanation:
(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²
= 3 × 5 × 4 × x
= 60x
SOMEONE PLEASE HELP ASAP THAT WOULD BE AMAZING!!!!!!!!!!!!!!!!!!
an = a+(n-1)d
an = 10+(n-1)3
an= 10+3n-3
an= 3n + 7
Find the measure of angle 5 if the measure of angle 7 is 115 degrees
Answer:
115 degrees (vertically opposite angles are equal)
Step-by-step explanation:
1. Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
Least common multiples of two- digit numbers. I need two examples. SHOW WORK
9514 1404 393
Answer:
LCM(21, 51) = 357LCM(42, 90) = 630Step-by-step explanation:
For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.
Consider the numbers 21 and 51, for example.
21 = 3·7
51 = 3·17
The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.
If we group these factors like this ...
(factors unique to 1 [ shared factors ) factors unique to 2]
= (7 [3 ) 17]
The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.
The LCM (least common multiple) is the product of the factors in those brackets:
LCM(21, 51) = 7 × 3 × 17 = 357
__
The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90
(7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]
Then the LCM is ...
LCM(42, 90) = 7 × 6 × 15 = 630
_____
Additional comment
What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).
If we divide our little diagram so it shows the product of the two numbers:
(42)[90] = (7×6)·[6×15]
we can see that the LCM is the quotient of the product and the GCD.
LCM(A, B) = A·B/GCD(A, B)
This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.
Explain why the equation is not linear.
5/x - y = 1
A. x Should be an exponent.
B. The x variable appears in the denominator.
C. The coefficient of both variables must be equal.
D. There should be an exponent of 2 on either x or y.
Answer:
B. The x variable appears in the denominator.
Step-by-step explanation:
Given
[tex]\frac{5}{x} - y = 1[/tex]
Required
What makes it not linear
First, make y the subject
[tex]y = \frac{5}{x}+1[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Notice that the exponent of x in the general form is: 1
This means that x has to appear as a numerator
In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1
This means that x has to appear as a denominator
Hence, (b) is true
Triangle ABC is shown below. What is the length of line segment AC? A o 7 og 2x 3X-7 o 14 o 18 B 4x - 10 С
A :7
B: 9
C: 14
D: 18
Answer:
No solution is possible from the given information
Step-by-step explanation:
Triangle ABC is NOT shown below
Without the triangle it's not possible to answer.
Add this up
(4k+1)+(3k+1)
Answer:
7k + 2
Step-by-step explanation:
(4k + 1) + (3k + 1) =
4k + 3k + 1 + 1 =
7k + 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
7k+2
Step-by-step explanation:
Find the mean, median, and mode
I'm just too lazy to do it
Thanks for your help :)
Answer:
It's the last one!
Step-by-step explanation:
Hope this helps!
Find the z value to the right of the mean so that:________.
a. 54.78% of the area under the distribution curve lies to the left of it.
b. 69.85% of the area under the distribution curve lies to the left of it.
c. 88.10% of the area under the distribution curve lies to the left of it.
Answer:
a) z = 0.12
b) z = 0.52
c) z = 1.18
Step-by-step explanation:
The z values is the area under the curve lying to its left
a) Hence, P (Z<z) = 0.5478
Taking the value of z from the standard normal table, we get -
z = 0.12
b) P (Z<z) = 0.6985
Taking the value of z from the standard normal table, we get -
z = 0.52
c) P (Z<z) = 0.8810
Taking the value of z from the standard normal table, we get -
z = 1.18
Which system of inequalities is graphed?
Second part please help
Answer:
Step-by-step explanation:
Lots of people use breakfast cereal as a daily source of fiber, and these cereals also contain the mineral potassium. Suppose a linear model was made to predict a cereal's potassium content using its fiber content, and suppose the model had intercept 37 and slope 25. For a cereal having 255 milligrams of potassium and 9 grams of fiber, what is the residual (in mg)?
Answer:
The residual is of 7 mg.
Step-by-step explanation:
Linear model:
A linear model has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the intercept.
Suppose the model had intercept 37 and slope 25.
This means that [tex]b = 37, m = 25[/tex]
So
[tex]y = 25x + 37[/tex]
9 grams of fiber
This means that [tex]x = 9[/tex]. So
[tex]y = 25(9) + 37 = 262[/tex]
255 milligrams of potassium. What is the residual (in mg)?
Expected subtracted by actual. So
262 - 255 = 7
The residual is of 7 mg.
the average minimum temperature of Georgia is 12⁰ C, 5⁰ C in new york, 3⁰C in Minnesota and 9⁰C in California. Arrange the average minimum temperature of the cities from warmest to coolest.
a. Minnesota
b. New York
c. Georgia
d. California
Answer: Georgia, California, New York, Minnesota
Question 4
Which term in the sequence given by n th term formula 7n - 50 has a value of 41?
th term
Answer:
13th term
Step-by-step explanation:
41 = 7n - 50
41 + 50 = 7n
91 = 7n
7n = 91
n = 91/7
n = 13
13th term has value 41
NEED HELP ASAP!
find the volume of the cylinder
Answer:
V = 314.2 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h r is the radius (5) and h is the height (4)
Using the pi button for pi
V = pi (5^2) (4)
V =314.1592654
Rounding to the nearest tenth
V = 314.2 ft^3
Find the surface area of the pyramid.
ASAPPPP PLEASEEEE HELPPPP
Answer:
Step-by-step explanation:
8[tex]\frac{1}{3}[/tex] + 3[tex]\frac{1}{3}[/tex]
=8*3+1/3 + 3*3+1/3
=24+1/3 + 9+1/3
=25/3 + 10/3
taking LCM od denominator
=25+10/3
=35/3
11[tex]\frac{2}{3}[/tex] acres
what triangle has the Definition A right triangle in which the legs are congruent.
9514 1404 393
Answer:
An isosceles right triangle
Step-by-step explanation:
Any triangle with a congruent pair of sides is an isosceles triangle. If the triangle is also a right triangle, it is ...
an isosceles right triangle
__
The sides will have the ratios 1 : 1 : √2, and the acute angles will be 45°.
to carry a bag of 50kg rice at the distance of 4km a porter charges rs75. how much does the porter charge at the same rate to carry a bag of 80kg rice to the distance of 10km
Step-by-step explanation:
This is your answer for the question
What is the value of x to the nearest tenth ?
Answer:
4.7 to nearest tenth.
Step-by-step explanation:
By Pythagoras:
8^2 = x^2 + 6.5^2
x^2 = 8^2 - 6.5^2
x^2 = 64 - 42.25 = 21.75
x = √21.75
= 4.6637
