Answer:
100
Step-by-step explanation:
She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.
(75 + 80 + x)/3 = 85
Times by 3.
75 + 80 + x = 255
155 + x = 255
subtract 155.
x = 100
She needs 100 on the third test.
Two candles of equal length are lit simultaneously at 12:00 pm. Candle 1 has 6 hours of burn time before it completely melts away. Candle 2 has 9 hours of burn time before completely melting away. When will Candle #2 have 3 times as much wax remaining as Candle #1?(You must be within 1 minute to be considered correct)
By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.
When will Candle2 have 3 times as much wax remaining as Candle1?
Here we assume that:
Both candles have the same original length L, and both decrease a constant rate.
Candle 1 is consumed in 6 hours, so it is consumed at a rate of:
L/6h.
This means that after a time t in hours, the length of candle 1 is:
L₁(t) = L - (L/6h)*t
For candle 2, the rate is:
L/9h
And the function for the length of candle 2 is:
L₂(t) = L - (L/9h)*t
Now we want to find the value of t such that:
L₂(t) = 3*L₁(t)
So we just solve:
L - (L/9h)*t = 3*(L - (L/6h)*t)
L - (L/9h)*t = 3L - (L/2h)*t
(L/2h)*t - (L/9h)*t = 3L - L = 2L
(5.5L/9h)*t = 2L
t = 2*(9h/5.5) = 3.27 h
After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.
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how many numbers between 75 and 500 are divisible by 7?
Is 8 yards equal to less than or greater than 24 feet?
Answer:
Equal
Step-by-step explanation:
3 feet is equal to 1 yard, so 8 times 3 is 24, so they are equal to.
Simplify the following expression using prim factorization 9+2*24
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression 9 + (2×24) is 57.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The prime factorization of the expression can be done as,
9 + (2×24)
= (3×3) + (2×2×2×2×3)
= 3 [3+(2×2×2×2)]
= 3 [3 + 16]
= 3 (19)
= 57
Hence, the simplification of the given expression 9 + (2×24) is 57.
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Find the distance between the pair of points.
(-1, -2) and (-3, 7)
Step-by-step explanation:
this is the sum
hope you understand
a storage bin in the corner of joes room has the dimensions shown below.
what is the volume of the bin?
Answer:
26^3 ft is what i got.
5ft x 5ft x 2ft = 50ft
3ft x 4ft x 2ft = 24ft
50ft - 24ft = 26ft
Answer:
36 ft³
Step-by-step explanation:
Formula of a rectangular prism :
Volume = Length x Width x Height
Volume of the bin :
Volume of the smaller part + Volume of the larger part3 x 2 x 2 + 6 x 2 x 26 x 2 + 6 x 412 + 2436 ft³PLEASE HELP WILL MARK BRSINLIEST!!!!!
Answer:
a) Yes
b) Not a right triangle
Step-by-step explanation:
Part (a)The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.
7 + 8 = 15 > 9
7 + 9 = 16 > 8
8 + 9 = 17 > 7
Therefore, a triangle with side lengths 7, 8 and 9 can be made.
Part (b)To determine if the triangle is a right triangle, use Pythagoras' Theorem:
a² + b² = c² (where a and b are the legs, and c is the hypotenuse)
The hypotenuse is the longest side, therefore:
a = 7b = 8c = 9Substituting these values into the formula:
⇒ a² + b² = c²
⇒ 7² + 8² ≠ 9²
⇒ 113 ≠ 81
As 7² + 8² ≠ 9² then the triangle is not a right triangle.
Find the x- and y-intercepts of the graph of the equation y = x2 – 2.
Answer:
See below ~
Step-by-step explanation:
X-intercept(s) : Take y = 0
0 = x² - 2x = ±√2X-intercepts are : (-√2, 0) and (√2, 0)Y-intercept : Take x = 0
y = (0)² - 2y = -2Y-intercept is : (0, -2)Can someone please help me with this? Thank you so much! <33
Answer:
Q63. B
Step-by-step explanation:
5 cars = 2 houses
1 house = 10 pools = 2.5 cars
1 car = 10÷2.5 = 4
Choosing a Nonexample
Quick
Check
Which solid is not a pyramid?
ΑΔΑ
A
Choose the answer.
Use the net to determine the total surface area.
What is the slope of a line that is parallel to the line shown?
-4/3
-4
-3/4
-2/3
Answer:
m = -4/3
Step-by-step explanation:
m = y2-y1/x2-x1
therefore at (-3,2) and (0-2)
m = -2-2/0 - (-3)
m = -4/3
The area of the circle is square
inches and the circumference is
inches.
16л, 8л
8л, 16
O 161, 641
o 640, 165
Answer:
16л, 8л
Step-by-step explanation:
r=4
area=4*4л
=16л
circumference= 2л*4
=8л
What is the volume of the prism? Use the formula V equals B h. Enter the answer in the box.
Answer:
[tex]29.4\ cm^3[/tex]
Step-by-step explanation:
b = 4 × 3.5 = 14 cm²
h = 2,1 cm
then
[tex]V=b\times h[/tex]
[tex]=14\times2.1[/tex]
[tex]=29.4\ cm^3[/tex]
Step-by-step explanation:
The length of the rectangle is 4cm and the width is 3.5cm
The area of the rectangle is A = lw
The base area is 4 x 3.5 or 14cm squared
The height is 2.1cm
Substitute 14 for B and 2.1 for h
V = Bh
V = (14)(2.1)
=29.4
Therefore the volume of the prism is 29.4 cubic centimetres
I need help on these 2 questions how did I get it wrong? and for question 3 I'm not supposed to have the = sign so what am I supposed to replace it with?
Answer:
3.
m + 7 ≥ 20
Subtract 7 on both sides,
m ≥ 20 - 7
m ≥ 13
The answer is m ≥ 13.
( you need to include both > and =, that is ≥ )
4.
2.1x = 23.1
Divide 2.1 on both sides,
x = 23.1 / 2.1
x = 11
Answer:
For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].
For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].
Hope this helps! Let me know if you have any questions
how many ways can 3 city council members from a list of 20 candidates be selected
) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will
your total return be?
The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]
Hence,the total amount of return will be 5611.8573.
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6x - 3 - 2x = 5. What is the value of x?
Answer:
x=2
Step-by-step explanation:
6x - 3 - 2x = 5
Combine like terms
4x -3 = 5
Add 3 to each side
4x-3+3 = 5+3
4x = 8
Divide each side by 4
4x/4 = 8/4
x = 2
Which expression can be used to find the volume of the cone in this composite figure?
A cylinder and cone. Both have a radius of 4 centimeters. The cylinder has a height of 7 centimeters and the cone has a height of 8 centimeters.
V = one-third pi r squared h = one-third (4) squared (8)
V = one-third pi r squared h = one-third pi (8) squared (4)
V = one-third pi r squared h = one-third pi (4) squared (7)
V = one-third pi r squared h = one-third pi (8) squared (8)
The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).
What is the volume of the cone?A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.
volume of a cylinder = πr²h
= pi x r² x 7
volume of a cone = 1/3 πr²
= 1/3 pi x 4² x8
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Answer:
A is Correct
Step-by-step explanation:
A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusin based on your results.
The probability of P (pass | afternoon) is 0.37 and the probability of P(pass | afternoon) is 0.71 and the probability of P (pass | afternoon) has greater chance of passing it than the probability of P (pass | afternoon)
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
From the data given:
P(pass | Morning) = 28/75 = 0.37
P(pass | afternoon) = 53/75 = 0.706 ≈ 0.71
Thus, the probability of P(pass | afternoon) has greater chance of passing it than the probability of P(pass | afternoon).
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Find the distance between each pair of points.
on graph paper.
K = (-21, -29) and L = (0, 0)
Answer:
~36 units apart
Step-by-step explanation:
(-21 - 0) = -21 (-29 - 0) = -29-21^2 = 441 -29^2 = 841441 + 841 =1282square root of 1282 is 35.8035.80 is ~36~36 units
10810 5 - 2 + log10 (2x + 10) = log10 (x-4)
Answer:
x=-108117
Step-by-step explanation:
108105-2+1(2x+10)=1(x-4)
108113+2x=x-4
2x-x=-4-108113
x=-108117
What is the surface area of this triangular prism?
Answer:
384 cm^2.
Step-by-step explanation:
This equals the area of 2 triangles + 3 rectangles.
= 2 * 1/2 * 6 * 8 + 14 * 6 + 14 * 8 + 14 * 10
= 48 + 84 + 112 + 140
= 384 cm^2.
Is y = 1/x linear or non linear
Answer: This answer is non-linear.
Step-by-step explanation:
The problem [tex]y=\frac{1}{x}[/tex] has Vertical Asymptotes,
Horizontal Asymptotes,
and No Oblique Asymptotes making, [tex]y=0[/tex] and [tex]x=0[/tex].
A linear function is a form of [tex]y=mx+b[/tex].
This answer would be non-linear
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*
Drag each graph to show whether it is a function of x or not a function of x. If there is
not enough information to tell
By using the vertical line test, we conclude that graphs 4 and 5 don't represent functions.
Which of the shown graphs are not functions?
The criteria to know when a graph represents or not a function, is to draw a vertical line and see if the line intersects the graph in more than one point. (This is called the vertical line test).
If you do that with graphs 4 and 5, you will see that these two do not represent functions.
For the other graphs is immediate to know that:
graph 1: represents a linear function.graph 2: represents a constant linear function.graph 3: represents a quadratic function.graph 6: represents a piecewise function.If you want to learn more about functions:
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Hannah purchased a box of greeting cards with assorted designs. The box contains four cards of each design: daisies, sunflowers, lilies, birds, puppies, butterflies, dolphins, and landscapes. She selects one card at random from the box.
Calculate the following probabilities.
selecting a card with a sunflower or butterfly design
selecting a card with a lily, daisy, puppy, or bird design
selecting a card with a landscape design
selecting a card with a dolphin, sunflower, or landscape design
selecting a card with a bird or puppy design
Now, determine the events that have the highest and lowest probabilities and graph the values on the number line
The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total outcomes = 4×8 = 32 (because 4 cards of 8 design)
The probability of selecting a card with a sunflower or butterfly design:
= 4/32 + 4/32
= 8/32 = 1/4
The probability of selecting a card with a lily, daisy, puppy, or bird design:
= 4(4/32)
= 1/2
The probability of selecting a card with a landscape design:
= 4/32 = 1/8
The probability of selecting a card with a dolphin, sunflower, or landscape design:
= 3(4/32)
= 3/8
Similarly, we can calculate the rest of the probability.
Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.
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A designer needs 4 1/3 yards of material for each dress he makes. How much material will he need to make 15 dresses?
Answer:
65 yards
Step-by-step explanation:
4 1/3 = 13/3
13/3 times 15 = 65
These questions kinda hard help
Answer:
Step-by-step explanation:
Remark
All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.
Answer: Square
The product of two consecutive positive even numbers is 960. What are the numbers?
Suppose that a gated community consisting of 40 houses requires:
500 liters of water everyday for common utilities of the community, and
a certain amount of water everyday per house.
Assuming that the water tanker supplies no more than 4500 liters of water per day to this community, what is the maximum amount of water that can be used by each house on a daily basis?
liters
Step-by-step explanation:
Given:
40 houses,
500 liters of waters everyday for common utilities
Unknown amount of water per house which we will call x.
4500 max liters for the gated community
Solve:
4500=40x+500
subtract 500 from both sides
4000=40x
divide by 40
100=x
Check:
40(100)+500=4500
4000+500=450
correct
Answer:
100 liters of water can be used by each house.