Answer:
x ≥ 3.5
y ≥ 2
2x + 1.5y ≤ 20
Step-by-step explanation:
Given :
Total Amount to spend ≤ $20
Let:
Amount of flour purchased = x
Amount of sugar purchased = y
Cost :
Flour = $2 per pound
Sugar = $1.5 per pound
Pounds of :
flour to be purchased ≥ 3.5
Sugar to be purchased ≥ 2
Hence, the system of inequalities :
x ≥ 3.5
y ≥ 2
Total Cost of x + total cost of y must be less than or equal to total amount
2x + 1.5y ≤ 20
Answer: x ≥ 3.5
y ≥ 2
2x + 1.5y ≤ 20
Step-by-step explanation: To write a system of inequalities, it is important to determine the restrictions. One restriction is that Sarah wants to buy at least 3.5 pounds of flour. "At least" means that 3.5 is the smallest amount she would buy and 3.5 can be included. This is expressed as x ≥ 3.5. She also wants at least 2 pounds of sugar, so similar to the flour, this can be written as y ≥ 2. Finally, the cost can be expressed as 2x + 1.5y. This is a restriction because Sarah can spend up to $20, so 2x + 1.5y is less than or equal to $20, or 2x + 1.5y ≤ 20.
Solve: 3x - 1 = 8(x + 1) + 1
O A. x= -
3
5
O B. x= -2
O C. x = -
CT 00
O D. There are infinitely many solutions.
Answer:
x=-2
Step-by-step explanation:
3x-1=8x+8+1
3x-1 = 8x+9
3x-1+1=8x+9+1
3x= 8x+10
3x-8x=8x+10-8x
-5x=10
-5x ÷-5
10 ÷-5
x=-2
1-0.4^n>=0.99 howwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
n>=6
Step-by-step explanation:
1-0.4ⁿ>=0.99
1-0.99>=0.4ⁿ
0.4ⁿ<=0.01
Apply log10:
Log10(0.4ⁿ)<=log10(0.01)
n×log10(0.4)<=log10(0.01)=-2
Because log10(0.4)=-0.39794 is negative we get:
n>=5.028.
Since n is integer, we have n>=6
If an odd number is less than 15, then it is prime
Answer:
False
Step-by-step explanation:
To show that this is false, all we have to do is find one example.
9 is an odd number less than 15
9 is composite
9 =3*3
Order the following integers from smallest (left side) to biggest (right
side):
20, 0, 22, -35, 100, -59
Need help please
Which one is a better deal?
a 3 pack of notebooks for $4.50
Or a 12 pack of notebooks for $15.00
Someone please help me
Answer:
[tex]x < 4368 \frac{8}{19} [/tex]
Step-by-step explanation:
[tex]28x < 83000 + 9x[/tex]
[tex]28x - 9x < 83000[/tex]
[tex]19x < 83000[/tex]
[tex]x < 4368 \frac{8}{19} [/tex]
a cargo shiip usually travels at the speed of 24 km/h for its usual 55 km trip. This time bad weather forced the ship to slow down to 18 km/h for the first hour. What should the ships speed be for the rest of the trip in order to arrive on time.
Answer:
27km/h
Step-by-step explanation:
Jonathon looked at the picture frame below and computed the following sum 8 3/4 +{-4}. What value did he find
Answers:
x
2y
y
2 x
Answer:
he found y value
Step-by-step explanation:
y value would be 8 3/4 + (-4) which is equivalent to 8 3/4 - 4 = 4 3/4
Please help me quick
Answer:
I belive it has no x intercepts
it looks weird, but it can be a function. the x-intercept and the y-intercept can also be found in the table above.
to draw a line that can represent a function with these point, we would need to cross y=0 multiple times, so it will have more then one x-intercept.
option A
key takeaway: just draw stuff you find complicated:)
Andrew worked over 40 hours this week. He earns $12 an hour and gets paid time and a half for overtime. If x represents total hours worked, which equation will result in the
amount of money earned for the week?
Answer:
y = 480 + 1.5 (x-40)
Step-by-step explanation:
sometimes its better to answer the question and make the formula from that
40 x 12 = 480
1.5 for overtime
x
y = 480 + 1.5 (x-40)
heeeeeeeeeeeeelp meee
Answer: i need the formula and i got you.
Step-by-step explanation:
When 100 engines are shipped, all of them are free of defects. Select a written description the complement of the given event
A) At most one of the engines is defective.
B) All of the engines are defective.
C) At least one of the engines is defe
D) None of the engines are defective
Answer:
Option C
Step-by-step explanation:
Suppose that we have a given proposition p
We define the complement as:
"NOT p" or ¬p
So, if p is:
the dog is red
the complement is
the dog is NOT red.
The principal rule to work with this is:
if p is true, then ¬p is false
if p is false, then ¬p is true.
Here the proposition is:
p = "When 100 engines are shipped, all of them are free of defects."
When this is this is true, ¬p must be false.
when this is false, ¬p must be true.
Let's analyze the given options, first the incorrect ones:
A: "At most one of the engines is defective."
here if we have for example, two defective engines, then this proposition and the original proposition are false.
B: " All of the engines are defective."
Here if there is one defective engine, then this is false, and also is the original proposition.
D: "None of the engines are defective"
When the original proposition is true "When 100 engines are shipped, all of them are free of defects.", this proposition is also true (because none of the engines are defective)
Finally, the corrrect one
C "At least one of the engines is defective"
When the original proposition is true, there are no defective engines, so this is false.
While, if this is true, there is at least one defective engine, so the original proposition is false.
Then this is the correct option:
¬p = "At least one of the engines is defective"
how many crores are there in 20 million
Answer:
20 million = 2 crore
Step-by-step explanation:
Here we will show you how to convert 20 million to crores (twenty million in crores). This may be useful if you for example want to convert 20 million rupees to crore rupees or 20 million dollars to crore dollars.
In some parts of the world like the United States, large numbers are separated with commas in three-digit-interval format like this:
...,BBB,MMM,TTT,HHH
BBB = billions
MMM = millions
TTT = thousands
HHH = hundreds
In certain parts of Asia, the format is a little different. From right to left, it starts out with three digits followed by a comma like the US, but after that, it is in intervals of two digits like this:
..,AA,CC,LL,TT,HHH
AA = arabs
CC = crores
LL = lakhs
TT = thousands
HHH = hundreds
Below we have displayed 20 million with the two number systems, based on the information above:
MM,TTT,HHH
20,000,000
=
C,LL,TT,HHH
2,00,00,000
When you match up 20 million with the C,LL,TT,HHH format above, you can see what 20 million is in crores. The answer to 20 million in crores is as follows:
20 million
= 2 crore
HELPPP PLEASEEE! I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? I am not sure where to start either now. Thank you for your time.
Estimate 19.625-6.77 by first rounding each number to the nearest tenth.
Answer:
13
Step-by-step explanation:
1. Round 19.625 up to 20.
2. Round 6.77 up to 7.
3. Calculate the equation. Ans is 13.
Which of the following is NOT equivalent to 2x + x - y + 3 + 5?
x + x + x - y + 8
3x - y + 8
2x 2 - y + 5 + 3
x + 2x - y + 5 + 3
Answer:
2x 2 - y + 5 + 3
Step-by-step explanation:
2ggfdfguutffyreryyrrrrrrrr
It takes 5 hr for 2 bricklayers to build a park wall. How long would it take 8 bricklayers to complete the job?
Solve the system using elimination. x – y = –5 3x + y = 1
(–1, 4)
(–1, 2)
(2, –2)
(–3, 4)
Answer:
(–1,4)
Step-by-step explanation:
x – y = –5
3x + y = 1
You omit Ys due to their positive and negative signs and you got
4x = –4===> x= –1
and now place –1 inside the upper linear equation and there you have the Y, look
–1 – Y= –5===> –Y= –4===> Y = 4
(–1,4)
Multiply the polynomials 3(x+7) (show work pls)
Answer:
3x + 21
Step-by-step explanation:
(3)(x+7)
Now, we distribute the 3 in each term of (x+7)
So, 3*x = 3x and 3*7 = 21.
So our resulting term would be 3x+21.
what is the quotient?
Answer:
the result gaven by dividing one number by another
I need help solving this problem .
Step-by-step explanation:
here is the answer to your question
What's the lateral area of the following cone?
11 cm
10 cm
511.23 cm
55 cm?
110.02 cm?
189.75 cm?
Answer:189.75
Step-by-step explanation:
The lateral area of the cone for the height of 11 cm and diameter 10 cm is given by option D. 189.75 cm²
To calculate the lateral area of a cone, find the curved surface area.
The lateral area of a cone can be calculated using the formula:
Lateral Area = π × r × l
where:
π is the mathematical constant pi (approximately 3.14159)
r is the radius of the base of the cone
l is the slant height of the cone
Height (h) = 11 cm
Diameter (d) = 10 cm
First, we need to find the radius (r) and the slant height (l).
The radius (r) is half of the diameter:
r
= d / 2
= 10 cm / 2
= 5 cm
The slant height (l) can be found using the Pythagorean theorem:
l² = r² + h²
l² = 5² + 11²
l² = 25 + 121
l² = 146
l = √146
≈ 12.083 cm
Now, calculate the lateral area:
Lateral Area = π × r × l
Lateral Area = 3.14159 × 5 cm × 12.083 cm
Lateral Area ≈ 189.75 cm²
Therefore, the lateral area of the cone is approximately 189.75 cm². The correct answer is C) 189.75 cm²
learn more about lateral area here
brainly.com/question/30196078
#SPJ2
Can you help me answer this question? Screenshot is added.
9514 1404 393
Answer:
(c)
Step-by-step explanation:
[tex]\displaystyle\sqrt[3]{xy^5}\sqrt[3]{x^7y^{17}}=\sqrt[3]{x^{1+7}y^{5+17}}=\sqrt[3]{x^6x^2y^{21}y}=\sqrt[3]{x^6y^{21}}\sqrt[3]{x^2y}\\\\=\boxed{x^2y^7\sqrt[3]{x^2y}}[/tex]
helppppppppppppppppppppppppppppppppppppppp
Answer:
the total square footage = 194
1.88 x 194 = 364.72
Step-by-step explanation:
Area for triangle ends.
A = [tex]\frac{2.5 (8)}{2}[/tex] (Times two, because there are two ends.)
Base of prism = 8 x 10 = 80
Sides of prism = 2(10 x 4.7 ) = 94 (What's the 2? There's two of them)
Add all together : 10 + 10 + 80 + 94 = 194
1.88 x 194 = 364.72
is this right please answer ill mark!!
Answer:
yeah u r correct..Step-by-step explanation:
hope it helps.stay safe healthy and happy......Answer:
yes
Step-by-step explanation:
cos=adjacent over hypotenouse
3. L = 5 cm
W = 30 cm
H= 14
V=____
Answer:
Step-by-step explanation: as the formula to find volume is L*W*H
so v=lwh
= 5*30*14
= 2100cm^3
______are used to represent an unknown quantity in a mathematical expression.
Answer:
Variables are used to represent an unknown quantity in a mathematical expression.
Step-by-step explanation:
Variables are used to represent an unknown quantity in a mathematical expression.For example : x + 2 = 4, here x is the variable.We can denote variable by any alphabet i.e, a,b,c,d etc.Which equation represents a line which is parallel to the line y = -7x - 8?
7x + y = -3
x+ 7y = 7
y - 7x = 6
x- -7y = -28
Answer:
7x+y=-3
Step-by-step explanation:
if m is the slope of a line, then the slope of its parallel line will have the same slope m,
in the given equation, y=-7x-8, the slope is -7
among the options, 1st option has a slope of -7, since,
7x+y=-3
or, y=-7x-3
Answered by GAUTHMATH
A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is _____. an. approximately normal because is always approximately normally distributed b. approximately normal because the sample size is large in comparison to the population size c. approximately normal because of the central limit theorem d. normal if the population is normally distributed
Answer:
d. normal if the population is normally distributed
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample size less than 30, so only will be normal if the population is normally distribution, and thus the correct answer is given by option d.
The square root of the variance is called the: standard deviation beta covariance coefficient of variation
Answer:
standard deviation
Step-by-step explanation: