How will you calculate it's surface area?
The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
The Art Club at Reynolds High School (ROCA) is selling paintings and clay coffee mugs to raise money for a trip to all the museums on the west coast. The cost for each painting is $20 and each mug is $15. The Art Club thinks they will sell at most 350 items. In order to meet their goal, they want to raise more than $4500. Write a system of linear inequalities to model the situation and then solve.
Answer:
See below and attached
Step-by-step explanation:
Let the number of paintings is x and the number of mugs is y.
We have following inequalities:
x + y ≤ 35020x + 15y > 4500The graphical solution is attached.
The solution is:
225 < x ≤ 350300 < y ≤ 350https://imgur.com/a/n3PRcMY
Step-by-step explanation:
hakdogg happyly ever after
The equation represents a hyperbola centered at the origin with a focus of (0,-10).
What is the value of b?
4
6
10
12
Answer:
Second option - 6
Explanation:
Trust! (And the image)
I really ope this helped! :)
The sum of two consecutive numbers is one less than three times the smaller integer. Find the two integers.
Answer:
2 and 3
Step-by-step explanation:
Let us start by representing the first consecutive number with x. In a similar sense, the next consecutive number would be x+1. According to the given question, we can write the following equation:
[tex]x+x+1=3x-1[/tex]
Solving for the equation by isolating the term containing x, we have:
[tex]2x+1=3x-1\\2x+2=3x\\\fbox{x=2}[/tex]
Since we have designated x as the first consecutive integer, the other integer we are looking for is x+1, or [tex]\fbox{3}[/tex] .
I hope this helps! Let me know if you have any questionss :)
what's my correct answer
Answer:
C
Step-by-step explanation:
AE 40+60 = 100
CD 20+60 = 80
Answer:
C..............................
IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 2%
Answer:
IQ scores of at least 130.81 are identified with the upper 2%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 100 and a standard deviation of 15.
This means that [tex]\mu = 100, \sigma = 15[/tex]
What IQ score is identified with the upper 2%?
IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15*2.054[/tex]
[tex]X = 130.81[/tex]
IQ scores of at least 130.81 are identified with the upper 2%.
Which is the graph of inequality 2 - (x + 3) < 4 - 2x?
Answer:
x<5
Step-by-step explanation:
I posted it nobody answer to it so *Help me*
Answer:
i think its 2
Step-by-step explanation:
Which equation represents the relationship between x and y in the table?
Answer:
Its a
Step-by-step explanation:
3*3 =9
4*4 =16
5*5 =36
Answer:
A. y=x^2
Step-by-step explanation:
A. y=x^2
when x=0 and y=o
0=0^2
0=0(true)
when x=1 and y=1
1=1^2
1=1 (true)
when x=3 and y=9
9=3^2
9=9 (true)
Find the balance in an account at the end of 12 years if $4000 is invested at an interest rate of 9% that is compounded continuously
Answer:
7250.66
Step-by-step explanation:
Write the equations of two lines that are parallel to the line 3x+6y-5=0
Answer:
X+2Y=7 and 4X+8Y=19
Step-by-step explanation:
Step 1: Write the equations in the form y=mx+c, where m represents the gradient.
In this case, gradient is equal to -0.5
Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5
You can make endless equations
Martha has x pence and Peter has twice the amount as Martha and 8 more. Together they have 200 pence. How much do Martha and Peter have?
WILL GIVE BRAINLIEST
Step-by-step explanation:
x+2x+8 =200
3x=200-8
3x=192
x = 64
Martha has 64 pence
Peter jas 136 pence
A question abouts angles
Answer:
x = 16
Step-by-step explanation:
These are corresponding angles meaning they are equal to each other.
4x + 30 = 94
4x = 64
x = 16
In which part of the graph is the height of the water increasing?
Answer:
A. 3
Step-by-step explanation:
Section 1: decrease
Section 2: level, no increase, no decrease
In section 3, the slope is positive. The graph goes up to the right. The level of water increases in section 3.
Section 4: decrease
Section 5: decrease
Answer: A. 3
Answer:
A. 3
Step-by-step explanation:
One of the solutions to the equation 72 - 57– 24 – is 8. What is the other solution?
Answer:
72-57-24=-9
Step-by-step explanation:
simple subtraction
The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)
Answer:
196,836,571.6 miles²
Step-by-step explanation:
the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere
surface area of a sphere = 4πr²
π= 3.14
r = 7,917.5 / 2 = 3958.75 miles
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4 x 3.14 x 3958.75² = 196,836,571.6 miles²
Find the distance from third base to first base on a baseball field if the distance between bases is 90 ft. (Round the final answer to the nearest tenth.).
Answer:
pretty sure it’s 35.6
Step-by-step explanation:
p
[tex]97x + 58y - 66y + 44x[/tex]
[tex]\longrightarrow{\blue{ 141x - 8y }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]97x + 58y - 66y + 44x[/tex]
Let us rewrite the expression so that the like terms are next to each other.
[tex] = 97x + 44x+ 58y - 66y[/tex]
Combine the coefficients.
[tex] = (97 + 44)x + (58 - 66)y[/tex]
[tex] = 141x - 8y[/tex]
[tex]\sf\pink{Happy\:learning! }[/tex]
A teacher records the test scores of several students. 74,82,70,80,72,76,71,75,78,72.
Find the mean
PLS HELP ASAPPPP
THANK YOU SO MUCH!!!!
Answer:
75
Step-by-step explanation:
Math
Answer:
75
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are
Combine like terms: 4x+3y-4+5y+3x-1
Answer:
7x + 8y - 5
Step-by-step explanation:
Like terms are terms with the same variable as well as the same amount of said variable:
Set the expression:
4x + 3y - 4 + 5y + 3x - 1
4x + 3x + 3y + 5y - 4 - 1
Combine like terms:
(4x + 3x) + (3y + 5y) + (-4 - 1)
(7x) + (8y) + (-5)
7x + 8y - 5 is your answer.
~
Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
solve for x round to the nearest tenth if necessary
Answer:
x ≈ 2.8
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan26° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CD}{DE}[/tex] = [tex]\frac{x}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × tan26° = x , then
x ≈ 2.8 ( to the nearest tenth )
Answer:
2.8
Step-by-step explanation:
1. c = a · sin(C) / sin(A)
This is the equation to find x. Let's see what we have.
c = x
a = 5.7
C = 26
A = ?
Let's find A. We know B is 90 and C is 26. Triangle Sum Theorem time!
2. 180 = 90 + 26 + A
180 = 116 + A
64 = A
A = 64
We found A. Let's see what we have now!
c = x
a = 5.7
C = 26
A = 64
Let's solve the equation now.
3. x = 5.7 · sin26 / sin64
Let's use a calcalator to find the answer.
4. 2.78008 = 5.7 · sin26 / sin64
5.7 · sin26 / sin64 = 2.78008
We should round this to the nearest tenth. 7 is in the tenth place. Though 8 is behind 7. 8 is greater than 4 which means 7 must be rounded up.
5. 2.8 is the answer.
s
is inversely proportional to
t
.
When
s
=
0.5
,
t
=
7
Work out
s
when
t
=
0.8
Answer:
4.375
Step-by-step explanation:
s=1/t
s=k/t
0.5=k/7
k=7x0.5=3.5
s=3.5/0.8
s=4.375
Someone help me with this
Answer:
81
Step-by-step explanation:
Any number, wether it is negative or postive, will always be postive when there is a even exponent.
In this case, we have a -9, and a exponent thats 2.
Since 2 is a even number, -9^2 will be a postive value.
Now, what is the actual value of this?
Well, a exponent of 2 basiclly means 2 numbers being multiplied together.
Or in this case, 2 negative 9s being multiplied together.
THis will be:
-9*-9
=
As I said above, a even exponent makes a negative number postive.
You see here that a negative 9 is being multiplied by -9. When two negative numbers multiply together, they make a postive.
THis is why a even exponent makes a postive.
Hope this helps!
Please help me thank you
Answer:
0.2
Step-by-step explanation:
Easy divide 1/5 as a decimal and you should get a decimal form number 0.2
1÷5=0.2
Hope this helps
Anil bought 6 exercise books at Rs 40 each and an eraser for Rs 10, He gave a Rs 500 note to the shopkeeper for the payment. How much change did the shopkeeper return him?
What is the ratio of their surface areas
Answer:
[tex]\text{A. }4:81[/tex]
Step-by-step explanation:
Since surface area consists of the sum of the outer faces of each polygon, the ratio of the two surface areas will be equal to the ratio of the side lengths squared (since we multiply them to get area).
The ratio of the corresponding side lengths of the solids are [tex]2:9[/tex]. Therefore, the ratio of their surface areas must be [tex]2^2:9^2=\boxed{4:81}[/tex]
Answer:
A
Step-by-step explanation:
i hope this helped i tried
can someone tell me what the answer for
2 kos60° + tan 45 °
Answer:
[tex]{ \tt{2 \cos60 \degree + \tan(45 \degree) }} \\ \\ = 2(0.5) + 1 \\ = 1 + 1 \\ = 2[/tex]
In ΔPQR, r = 9 inches, p = 6.6 inches and ∠Q=6°. Find the area of ΔPQR, to the nearest 10th of a square inch
Answer:
2.8 square inches
Step-by-step explanation:
Area of the triangle PQR = 1/2 rp sin <Q
Given
r = 9in
p = 6.6in
<Q =6°
Substitute into the formula;
Area of the triangle PQR = 1/2 * 9 * 6 sin6°
Area of the triangle PQR = 9 * 3 sin6°
Area of the triangle PQR = 27 sin6°
Area of the triangle PQR = 27(0.1045)
Area of the triangle PQR = 2.82
Hence the area to the nearest 10th of a square inch is 2.8 square inches
Answer:
3.104 which is equal to 3.1 it your answer.
Step-by-step explanation:
I did it on DeltaMath