Answer:
10 =x
Step-by-step explanation:
-90 = -100 + x
Add 100 to each side to isolate x
-90+100 = -100+100 + x
10 =x
4. What is the volume of a rectangular prism that has the following
dimensions?
Length - 5 inches
Width - 7.5 inches
Height - 12 inches
Answer:
450cm3 or 450 cube cm.
Step-by-step explanation:
Formula = Length x Width x Height
So,
5 x 7.5 x 12 = 450cm3
Question
The average of 4 numbers is 9. If one of the numbers is 7, what is the sum of the other 3 numbers?
O2
O 12
O 29
O 36
Answer:
Let say the four number x, y, a and b
(X+y+a+b) ÷4=9 equation 1(we divide by 4 is because It says average)
So let say x=7 and so let insert this equation
(7+y+a+b)÷4=9
7+y+a+b=9×4
7+y+a+b=36(then shift 7)
Y+a+b=36-7
Y+a+b=29
So the sum of 3 number is 29
The sum of the other numbers is 29
Since the average of 4 numbers is 9. Then the total value of the numbers will be:
= 4 × 9
= 36
Since one of the numbers is given as 7, then the value of the remaining numbers will be:
= 36 - 7
= 29
In conclusion, the sum of the remaining numbers is 29. Therefore, the correct option is C.
Read related link on:
https://brainly.com/question/10930932
Exercise 1.10.4: Mathematical statements into logical statements with nested quantifiers. info About Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive. (e) The reciprocal of every positive number less than one is greater than one. (f) There is no smallest number. (g) Every number other than 0 has a multiplicative inverse. (h) Every number other than 0 has a unique multiplicative inverse.
Answer:
З x,y : ( x/y < 1, y/x < 1 )
Step-by-step explanation:
This is a bit somehow, I really do hope it doesn't confuse you. Here's your solution.
The domain in this question is one with a set of all real numbers. These real numbers needs the logical expressions of the English statements to be expressed with respect to real number. And so we're having
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
What is AD/AB in simplest form?
A. 10/3
B. 1/3
C.17/5
D. 3
write an explicit formula for the a_(n), the nth term of the sequence 27,21,15
Answer:
33-6n
Step-by-step explanation:
3(9+c+b) if c=13 and b=4
Answer:
78
Step-by-step explanation:
Hope this helped. Pls mark brainliest
Answer:
78
Step-by-step explanation:
3(9+13+4)
9+13+4 = 26
3(26) = 78
4x10 26 [87.96 x 10 6]
Answer:
remember that you start in the [ ] and work your way out
Step-by-step explanation:
For which value of x is the relation not a function? \ (0,1),(x,0),(3,5)\ 2,6\ }
Answer:
Please check the explanation.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
In our case, we need to determine the value of x so that we can have repeated or duplicated inputs or x-values because duplicated inputs mean the relation would not be a relation.
Given
{(0, 1), (x, 0), (3, 5), (2, 6)}
Now, if we put x = 3, the relation would become:
{(0, 1), (3, 0), (3, 5), (2, 6)}
Here, x = 3 is repeated twice, and we can not have duplicated inputs as there should be only 1 output for each input.
Therefore,
For the value of x = 3, the relation would not be a function.
Note: The same can be said about the values of x = 0, or x = 2 because then the the dupilcated values be x = 0 or x = 2 respectively.
In a ceiling function, which is the graph of g(x)= [x+3]?
9514 1404 393
Answer:
see below
Step-by-step explanation:
Adding 3 to x shifts the function's graph 3 units to the left. That makes the graph look like the one attached.
An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box with the largest possible volume
Answer:
Maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm
Step-by-step explanation:
Surface area of box
[tex]4xy+x^2=120\\\Rightarrow y=\dfrac{120-x^2}{4x}[/tex]
Volume of box is
[tex]V=x^2y\\\Rightarrow V=x^2\times \dfrac{120-x^2}{4x}\\\Rightarrow V=\dfrac{120x-x^3}{4}\\\Rightarrow V=30x-\dfrac{1}{4}x^3[/tex]
Differentiating with respect to [tex]x[/tex]
[tex]\dfrac{dV}{dx}=30-\dfrac{3}{4}x^2[/tex]
Equating with zero
[tex]30-\dfrac{3}{4}x^2=0\\\Rightarrow x^2=\dfrac{30\times 4}{3}\\\Rightarrow x^2=40\\\Rightarrow x=6.32[/tex]
Double derivative of the volume
[tex]\dfrac{d^2V}{dx^2}=-\dfrac{6x}{4}=-\dfrac{6\times 6.32}{4}=-9.48<0[/tex]
So, the volume is maximum at [tex]x=6.32[/tex]
[tex]y=\dfrac{120-x^2}{4x}=\dfrac{120-40}{4\times \sqrt{40}}\\\Rightarrow y=3.16[/tex]
So, the maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm.
HELP ILL GIVE U BRAINLIEST 10 POINTSQuestion 9 (1 point)
Fill in the blanks to create an equation that matches the graph.
Fence Installation
om/
450
400
350
A 300
250
Cost in $)
✓
200
150
100
50
5
10 15 20 25 30 35
Linear Feet
X +
y =
Blank 1:
Blank 2:
Answer:4
Step-by-step explanation:
A rectangular prism is 12 cm long 6 cm wide and 5 cm high what is the volume of the rectangular
9514 1404 393
Answer:
360 cm³
Step-by-step explanation:
The volume is the product of the given dimensions:
V = LWH
V = (12 cm)(6 cm)(5 cm) = 360 cm³
4x² - 5x + 3y + 6
The coefficient in the first term is __?
The constant is __?
There are __? terms in this expression.
The variable in the third term is __?
Answer:
The coefficient in the first term is 4
The constant is 6
There are 4 terms in this expression
The variable in the third term is y
Step-by-step explanation:
The constant is 6 because it is the only term without a variable, therefore the one term that will stay the same/remain constant.
The first term is 4x^2, the second term is -5x, the third term is 3y, and the fourth term is 6.
The variable in the first term is x^2, therefore the coefficient of x^2 is 4.
2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function
Answer:
400
Step-by-step explanation:
Round each fraction to help you estimate the solution for the following equation: 8/10+9/10
Whats 900 x 30 it would be extremly helpful for my upcoming test
Answer:
27000
Step-by-step explanation:
Answer:
its 27,000
Step-by-step explanation:
hope it helps ;)
1. Use the figure below to answer the questions.
(a) Solve for x.
Answer:205
Step-by-step explanation:This is an hexogon so you would do
720-118-112-131-154
What is the slope of line b
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?
Answer:
4 2/3
Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3You received a special shopper
discount card for your birthday for
10% off any purchase. You decide to
buy a pair of sneakers costing $65
and use your discount card. If sales
tax of 8% is applied after the
discount, what was your final price
for the sneakers?
10. A triangle has sides with lengths 3,5, 7. Is this an acute, obtuse, or right
triangle?
Answer:
OBTUSE
Step-by-step explanation:
You would first have to figure this put via Pythagorean theroem. Basically do this (attachment)***C IS THE LARGEST NUMBER*** and know that c^2 < a^2 + b^2 (less than) = ACUTE, c^2 > a^2 + b^2 (greater than) = OBTUSE, and c^2 = a^2 + b^2 is RIGHT. If it is Right with all different numbers, it is SCALENE.
Jonnell has finished 20% of an art project that taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
if a banana costs 45 cents and your grandma is looking at the sky what color is your grandpa
Answer:
35
Step-by-step explanation:
ask beetle juice
Answer: If you have four pencils and I have 7 apples, how many pancakes will fit on the roof?
Step-by-step explanation: Purple. because aliens don't wear hats.
At Happy Harry’s Laundromat, the dryer costs $1.50 for 10 minutes. At Jolly Judy’s Laundromat the dryer costs $2.25 for 15 minutes. Which laundromat offer the better deal?will giv brainly if correct
Happy Harry’s Laundromat
Jolly Judy’s Laundromat
They charge the same amount.
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllppppppppppppppp
Answer: They charge the same amount.
Step-by-step explanation:
I can quite figure out how to go about this problem l, we are writing equations by defining a variable, writing an equation, then solving
Answer:
14 ft
Step-by-step explanation:
Let x represent the number of segments of the divided wood beam
Let y represent the total length of the wood beam.
Given that each segment measures 3.5, the equation to express this scenario is given as
y = 3.5x
Thus, to find the length of the wood beam, substitute x = 4 into the equation.
We would have:
y = 3.5(4)
y = 14
Length of the wood beam = 14 ft
Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choices. We are interested in the flags that are chosen on Monday, Tuesday and Wednesday of next week. 30 Experiments with random outcomes (a) Describe a sample space ± and a probability measure P to model this experiment. (b) What is the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday? (c) What is the probability that Wisconsin’s flag will be hung at least two of the three days?
Answer:
a) [tex]S=50[/tex]
[tex]P(X)=0.02[/tex]
b) [tex]P(W,M,C)=8*10^-^6[/tex]
c) [tex]P(W_2_3)=1.18*10^-^3[/tex]
Step-by-step explanation:
From the question we are told that
Sample space S=50
Sample size n=30
a)Generally the sample space S is
[tex]S=50[/tex]
The probability measure is given as
[tex]P(X)=\frac{1}{50}[/tex]
[tex]P(X)=0.02[/tex]
b)
Generally the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as
Probability of each one being hanged is
[tex]P(X)=\frac{1}{50}[/tex]
Therefore
[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]
[tex]P(W,M,C)=\frac{1}{125000}[/tex]
[tex]P(W,M,C)=8*10^-^6[/tex]
c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as
Probability of two days hung +Probability of three days hung
Therefore
[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]
[tex]P(W_2_3)=148 / 125000[/tex]
[tex]P(W_2_3)=1.18*10^-^3[/tex]
Find out how much paint is in each jar
9
Use the expression 43 + 8 – to find an example of
y
each kind of expression.
Kind of expression Example
Quotient
y
9
Sum
у
Variable
43 + 8
Answer:
quotient: 9y
sum: 4³+8
variable is y
which number is equivalent to 47/9
Answer:
94/18
Step-by-step explanation: