Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
In an average year, worldwide, there are 134 earthquakes of magnitude 6 on the Richter scale. If next year is predicted to be an exceptional year, and the number of earthquakes of magnitude 6 is expected to increase by 44%, about how many earthquakes of magnitude 6 can be expected? (Round your answer to the nearest whole number.)
[tex]134+0.44\cdot134=192.96\approx193[/tex].
We can expect about 193 earthquakes.
Hope this helps.
HELP I NEED THIS WITHIN 2 MINUTES AB if AC = 13.2 And BC = 6.8
Answer:
AB = 6.4
Step-by-step explanation:
Assuming that AB + BC is AC, then we can say the following:
AB + BC = AC
AB + 6.8 = 13.2
AB + 6.8 + -6.8 = 13.2 + -6.8
AB = 6.4
Cheers.
Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same thing. 6 less a number y can be represented by the expression 6 - y. 6 less than a number y can be represented by the expression y - 6. B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Answer:
B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Step-by-step explanation:
Given
Phrase 1: 6 less a number y
Phrase 2: 6 less than a number y
Mathematically,
Phrase 1 can be represented as follows;
[tex]y - 6[/tex]
Mathematically,
Phrase 2 can be represented as follows;
[tex]y - 6[/tex]
Since the representation of both phrases are the same, then option B answers the question.
Please don’t skip! Urgent! Please just give me the answers to the solution part.
You don’t have to explain
Answer:
you have selected the correct option for the first part
in the second part, the answer is "there is no solution"
in the third part, the answer is "one solution" which is (0 , 1)
brainly it if you found this helpful
if one card is picked at random from a deck of 52 cards which contains an equal amount of hearts, diamonds, clubs, and spades, the probability that it is a club is
Answer:
25%.
Step-by-step explanation:
Since there are 52 cards, and 4 suits, you must find the number of cards for each suit. Begin by dividing 52 by 4.
52 / 4 = 13.
Now, we must check how many times 13 goes into 52. It goes in 4 times (4 x 13 = 52).
Because it is exactly 52, not over, we can find the percent by dividing 100 by the number of times 13 went into 52!
Since it went in 4 times, we will get the answer with this final equation:
100 / 4 = 25.
Therefore, the answer is 25%!
Charlie has—$19 in his bank account. This is $28 more then Steve’s bank account. How much money does Steve have in his bank account?
Answer:
may be incorrect but probably not -9
Step-by-step explanation:
19 - 28 = -9
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height. What is the volume of the shaded portion of the composite figure? Express your answer in terms of π. 519π units3 681π units3 (600π – 81) units3 (600 – 81π) units3
Answer:
Volume of shaded portion = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded portion = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of base of pyramid = 15 units
w = width of base of pyramid = 10 units
h = height of pyramid = 12 units
Plug in the values to find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded portion = (600 - 36π) units³
Answer:
d
Step-by-step explanation:
Write a numerical expression for the verbal phrase. The quotient of 81 and 3.
A. 3÷81
B. 27
C. 81÷3
D.81×3
Answer:
27
Step-by-step explanation:
a and c is the answer.
as you have studied in lower standard.
Which statement BEST describes the relationship between whole numbers and natural numbers shown in the diagram?
A)
B)
The diagram shows that whole numbers are a subset of natural numbers,
because all whole numbers are natural numbers.
The diagram shows that natural numbers are a subset of whole numbers,
because all natural numbers are whole numbers.
The diagram shows that whole numbers are a subset of natural numbers,
because some whole numbers are not natural numbers.
The diagram shows that natural numbers are a subset of whole numbers,
because all whole numbers and natural numbers have no numbers in
C)
D)
common.
Answer:
The correct option is B.
Step-by-step explanation:
Consider the diagram below.
It is a Venn diagram.
The diagram shows that all the natural numbers are contained in the set of all the whole numbers.
This implies that all natural numbers are whole numbers.
Then the statement best describing the relationship between whole numbers and natural numbers is:
(B) The diagram shows that natural numbers are a subset of whole numbers, because all natural numbers are whole numbers.
Thus, the correct option is B.
-r(3r^{2}+1)r=4 the 2 is to the power
Answer:
For the r alone
Step-by-step explanation:
The distance from Gillette, New Jersey, to Irvington, New Jersey, is 1 mile more than four times the distance from Irvington to Newark. If the total distance from Gillette to Newark is 2 miles less than six times the distance from Irvington to Newark, what is the distance from Irvington to Newark if all three cities are in a straight line?
Answer:
distance from Irvington to Newark
.= 3 Miles
Step-by-step explanation:
distance from Irvington to Newark.= X
distance from Gillette, New Jersey, to Irvington, New Jersey,= y
Y= 1+4x
total distance from Gillette to Newark
= z
Z= 6x-2
But total distance = x+y
Total distance= x+1+4x
Total distance= 1+5x
1 +5x= 6x-2
1+2= 6x-5x
3= x
distance from Irvington to Newark.= X
distance from Irvington to Newark
.= 3 Miles
distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4x
distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4(3)
distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+12
distance from Gillette, New Jersey, to Irvington, New Jersey,= 13 miles
Total distance= 1+5x
Total distance= 1+5(3)
Total distance= 16 miles
calculate the max shear of cantilever balcony 2m wide 0.2m deep and 1.5m length.
Answer:
14.4 kN
Step-by-step explanation:
cantilever balcony 2m wide 0.2m deep and 1.5m length.
= 2 x 0.2 x 1.5
= 0.6 m³
weight of the balcony
= 0.6 x 24
= 14.4 kN.
therefore the max shear 14.4 kN and is acting at support.
Which is the ratio of the number of months that begin with the letter N to the total number of months in a year?
O i to11
O i to 12
0 11 to 1
O 12 to 1
Answer:
I to 12
Step-by-step explanation:
1 month (November) and 12 monthes
Answer: 1 to 12
explanation: i got it right on the test
Simplify the expression below, matching the correct steps in the order of operations. Identify the step as parentheses, exponents, multiplication, division, addition, or subtraction.
Answer:
PE,PS,E,M,A
Step-by-step explanation:
Simplify the expression using Distributive Property
−20 ( 8x + 20 )
Question 2 (1 point)
Find the value of x. Round you answer to the nearest tenth.
X
16
27
Step-by-step explanation:
[tex]\blue\star[/tex]By P.G.T
[tex] {h}^{2} = {b}^{2} + {p}^{2} [/tex]
[tex] {27}^{2} = {16}^{2} + {x}^{2} [/tex]
[tex]729 = 256 + {x}^{2} [/tex]
[tex] {x }^{2} = 729 - 256 \\ [/tex]
[tex]x = \sqrt{473} [/tex]
[tex]\huge\boxed{x = 22}[/tex]
Hope it helps .
a^2=b^2+c^2.
27^2=16^2+c^2.
729=256+c^2
c^2=729-256.
c^2=√473.
c=21.74856317~21.7(to nearest tenth).
the altitude of mt. makalu is 8485meters,find its heights in centimeter
Answer:
the answer is 848500 centimetres
Step-by-step explanation:
we have to multiply the value by 100.
hope it helps.
Answer:
848500 cm
Step-by-step explanation:
[tex]1 \:cm =0.01 \:m\\x\: cm = 8485 \: m\\\\\frac{8485}{0.01} \\\\= 848500[/tex]
When an experiment result seems to only partly support a hypothesis, a researcher should consider which of the following?a. Accounting for the research biasesb. Exploring alternation explanationc. Formulating scientific lawd. Manipulating data
Answer:
b. Exploring alternation explanation
Step-by-step explanation:
Experiments are carried out in controlled conditions to confirm a known truth, examine the validity of a hypothesis, or evaluate the efficacy of something that has never been tried before.
SO, when an experiment result seems only partly to support a hypothesis, the best thing to do is to consider exploring alternative explanations through modification of the hypothesis.
A scientific should not be formulated because it is when we have a valid theory that we can formulate a scientific law.
Also, we cannot manipulate the experiment's data because it is not part of the code and conduct of carrying out research.
Can someone help me out
Answer:
40
Step-by-step explanation:
Surface area is the sum of the faces of all sides, so find the area of all sides and add
Answer:
40 mi²
Step-by-step explanation:
(see attached for reference)
the formula for surface area of a right rectangular prism
= 2(length x width) + 2(width x height) x 2(length x height)
in our case
length = 4 mi
width = 2 mi
height = 2 mi
substituting these values into the equation:
surface area
= 2(length x width) + 2(width x height) x 2(length x height)
=2(4)(2) + 2(2)(2) x 2(4)(2)
= 16 + 8 + 16
= 40 mi²
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
(x, y, z) = (30°, 62°, 88°)
Step-by-step explanation:
The given relations are ...
x + y + z = 180 . . . . sum of angle measures is 180°
y + z = 5x . . . . . . . . sum of 2nd and 3rd is 5 times the first
z = y + 26 . . . . . . . . third is 26 more than second
__
We can use the third equation to substitute into the second equation.
y + (y +26) = 5x
2y +26 = 5x
We can multiply the first equation by 5, then substitute for 5y and for z.
5x +5y +5z = 5(180)
(2y +26) +5y +5(y +26) = 900
12y + 156 = 900 . . . simplify
y +13 = 75 . . . . . . . . divide by 12
y = 62
z = y + 26 = 62 +26 = 88
y+z = 5x = 62 +88 = 150
x = 150/5 = 30
The angle measures are (x, y, z) = (30°, 62°, 88°).
Answer:
x=30 y=62 z=88
Step-by-step explanation:
The solution is therefore (30,62,88).
Choose the correct place value for the following number:
10,111
A. Ones
B. Tens
F. Hundred Thousands
C. Hundreds
E. Ten Thousands
D. Thousands
Answer:
E. Ten thousands, i. e. 1×10000=10,000
In a recent year, 26.2% of all registered doctors were female. If there were 45,300 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
Answer:
798980 doctors
Step-by-step explanation:
In a recent year, 26.2% of all registered doctors were female. The total number of registered doctors is 172900.
What is the percentage?The percentage is a quantifiable way of comparing amounts with different totals. Because the percent is an equivalent fraction of the part with the whole, it is also a good way to get unknown amounts.
Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) beside a number to indicate that it is a percentage. To calculate the percentage, divide the value by the total value and multiply the result by 100.
As given, 26.2% of all registered doctors are females.
Consider, the total number of registered doctors as x
26.2% of x are females
26.2% of x is 45,300
26.2 / 100 × x = 45,300
x = 45,300 × 100 / 26.2
x = 172900.76
Therefore, the total number of registered doctors is 172900.
To learn more about percentages, refer to the link:
https://brainly.com/question/28269290
#SPJ2
X is = to 1/5 of the sum of 84.7,-27.8 and 82 what is the number
Answer:
27.78
Step-by-step explanation:
x=(84.7+(-27.8)+82)÷5
x=138.9÷5
x=27.78
in which number does the 7 have the greater place value 47,593 or 602.785 heeeeeeeeeeellllllllllppppppppppppp
Answer:
47,593
Step-by-step explanation:
The 7 is representing 7,000 whereas the 7 in 602.785 is representing 0.7, which is 10,000 times smaller than 7,000, giving the 7 in 47,593 a greater place value
Conjecture: If a shape has _____ it can be folded on a line or reflected across a line so that its two parts are exactly the same ____and shape.
Answer: symmetry, size
Step-by-step explanation:
Use only the digits 0 - 9 to complete the fraction.
__
1.90 = 21/___
Express the inequality using interval notation. 3<×≤5
Answer:
(3,5]
Step-by-step explanation:
2p - 6 = 8 + 5(p +9)
How do you solve it
Step-by-step explanation:
2p-6=8+5p+45
2p-6=53+5p
2p-5p=53+6
-3p=59
p=59/-3
p= -19.67
let me know if this helps :)
p = - 59/3
[tex]p=-19\frac{2}{3}[/tex]
Step-by-step explanation:2p - 6 = 8 + 5(p + 9)
2p - 6 = 8 + 5p + 45
- 6 - 8 - 45 = 5p - 2p
3p = - 59
p = - 59/3
[tex]p=[/tex] [tex]-19\frac{2}{3}[/tex]
Allie received a gift card for her local coffee shop. Every time she goes to part
the shop, she gets a medium coffee. The graph shows the gift card balance
ot two points. Use the two points to determine the slope of the line, Report
your answer in decimal form..
y
24
My Coffee
20
(1,17.50)
Gift Card
16
Gift Card Balance (5)
12
(5, 7.50)
8
4
0
0 2. 4 6 8 10
Medium Cups of Coffee
Sign out
US
10:34
Answer:
The slope of the line is -2.5.
Step-by-step explanation:
The formula to compute the slope of a straight line is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The graph shows the gift card balance after buying 2 and 5 cups of medium coffee.
The two points provided are:
A = (1, 17.50)
B = (5, 7.50)
Compute the slope of the line as follows:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7.50-17.50}{5-1}\\\\=\frac{-10}{4}\\\\=-2.5[/tex]
Thus, the slope of the line is -2.5.
the Red Line in the figure is an altitude of triangle hjl. Using right angle trig and properties of equality, y sin L = x = z sin H, write the Law of Sines for this triangle
Answer:
[tex]\Large \boxed{\mathrm{\bold{C}}}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle sin(\theta) =\frac{opposite}{hypotenuse }[/tex]
[tex]\sf \displaystyle sin(L) =\frac{x}{y}[/tex]
[tex]\sf \displaystyle sin(H) =\frac{x}{z}[/tex]
[tex]\displaystyle \sf \frac{sinL}{z} =\frac{sinH }{y}[/tex]
[tex]\displaystyle \sf \frac{\frac{x}{y} }{z} =\frac{\frac{x}{z} }{y}[/tex]
Simplifying the expression.
[tex]\sf \displaystyle \frac{x}{yz } = \frac{x}{yz} \ (true)[/tex]
[tex]\displaystyle \sf \frac{z}{sinL} =\frac{y}{sinH}[/tex]
[tex]\displaystyle \sf \frac{z}{\frac{x}{y}} =\frac{y}{\frac{x}{z}}[/tex]
Multiplying both sides by x.
[tex]\sf yz=yz \ (true)[/tex]
Answer:
d
Step-by-step explanation:
The law of Sines applied to a Δ ABC is
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
Using this in Δ HJL
[tex]\frac{z}{sinL}[/tex] = [tex]\frac{y}{sinH}[/tex] → (b)
Which may be expressed in reciprocal form as
[tex]\frac{sinL}{z}[/tex] = [tex]\frac{sinH}{y}[/tex] → (a)
Thus the law of Sines can be expressed as either (a) or (b)