1) Gathering the data
555 gallons ----- $ 1.74
2) If 8000 gallons could be spent
If a Family conserves 8000 gallons this family would not have an expense of?
Let's set a proportion for that:
555 g-----$1.74
8000g ---x
555x =13920 Dividing both sides by 555
x=25.08
If a family conserves 8000 gallons of water. They save $25.08 per month assuming that $1.74 is equal to 555 gallons of water.
Select all the pairs of equivalent expressions.
3^5\
3^8 and 3^-3
4^-3 and
4^3
(5^2)^-6 and 5^8
5^4\
5^9 and 5^13
Answer:
I don't know gh6y6y6yytthttrth3th
Factorise the following x^2-8x-9
answer:
(x-9)(x+1)
step-by-step explanation:
this expression can be solved by grouping. hope that helps!
Edmond, an NFL running back, rushed for an average of 148 yards per game this season, which is 85% higher than his average was last season. What was his average then?
Edmond average then was 174.12 , by using the given percentage.
What do you mean by percentage?
A ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
It is given that Edmond rushed for an average of 148 yards per game this season.
Let the average of Edmond last year be x
According to question, 148 yards per game is 85% of x
85% of x = 148
85/100 × x = 148
x = 148 ÷ (85/100) = 148 × (100/85) = 14800/85 = 174.12
Thereofore, Edmond average then was 174.12
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can yall help me with this
Answer:
C is correct.
Step-by-step explanation:
[tex] \sqrt[4]{ \frac{16}{81} } = \frac{ \sqrt[4]{16} }{ \sqrt[4]{81} } = \frac{2}{3} [/tex]
1. Translate & Solve *20 points"Seven subtracted from the product of a number and -4 is -59."A) n = 13B) n = -13C) n = 26D) n = -26
Seven subtracted from the product of a number and -4 is -59, let me translate it.
[tex]-4x-7=-59[/tex]Let me solve it now (Next).
[tex]\rightarrow4x+7\text{ = 59}\rightarrow x=13[/tex]The sum of two-sevenths of a number and 3 is 9
[tex]\frac{2x}{7}+3=9[/tex]This is the translation, let me solve it next.
[tex]\frac{2x}{7}=6\rightarrow x\text{ = }\frac{42}{2}=21[/tex][tex]x^2-14=50\rightarrow x\text{ = 6}[/tex][tex]\frac{40x}{100}-10\text{ =-4}[/tex][tex]\frac{40x}{100}=6\rightarrow x\text{ = }\frac{600}{40}=15[/tex]The quotient of a number increased by 4 and -3 is 15
[tex]\frac{x}{4}-3=15\rightarrow x=72[/tex]let's compare the significant notation recession of two of these numbers 0.00000000004=4.0x10 to the power of 7 =1.08v 10 Wright a sentence comparing then
We are given these two numbers:
4*10^(-7) and 1.08*10^(-9).
What is similar is that they are in scientific notation, that is, the base of both is
between 1 and 9.
The difference is in the exponent. 0.0000004 is lesser than 1, so the exponent will be negative, while 1,080,000,000 is greater than 1, so the exponent will be positive.
walks 3/4 mile in 1/5 hour. whats the speed in miles per hour
The speed in miles per hour for the given situation is 3.75 miles per hour.
Given that, walks 3/4 mile in 1/5 hour.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
We know that, Speed = Distance/Time
= 3/4 ÷ 1/5
= 3/4 × 5/1
= 15/4
= 3.75 miles per hour
Hence, the speed in miles per hour for the given situation is 3.75 miles per hour.
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i'm stuck on this problem!
7x-7;x=4
Answer:
7x-7 ;x=4
we will just substitute for the values
=7(4)-7
=28-7
=21
Step-by-step explanation:
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You borrow $6,191 from a bank which charges you 8.4% simple interest. Howamuch will you owe (total) after 6 and a half years?DO NOT ROUND ANY NUMBERS UNTIL YOUR FINAL ANSWER!Round your answer to the nearest cent.
The formula for simple interest is given by:
Simple Interest = Principal x interest rate x time period
SI = 6,191*0,084*6.5
SI= 3,380.286
Total amount: 3,380.286 + 6,191 = 9,571.286
Answer: $9,571.3
If f(x) = x - 3, g(x) = 3x - 9, and h(x) = x^2-6x+9, then (gf)(2)=
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given functions
[tex]\begin{gathered} f(x)=x-3 \\ g(x)=3x-9 \\ h(x)=x^2-6x+9 \end{gathered}[/tex]STEP 2: Find the gf(2)
[tex]\begin{gathered} \left(gf\right)\left(x\right)=g\left(x\right)f\left(x\right) \\ =g\left(2\right)f\left(2\right) \end{gathered}[/tex]Find g(2)
[tex]\begin{gathered} x=2 \\ By\text{ substitution,} \\ g(2)=3(2)-9=6-9=-3 \end{gathered}[/tex]Find f(2)
[tex]\begin{gathered} x=2 \\ By\text{ subsitution,} \\ f(2)=2-3=-1 \end{gathered}[/tex]Find gf(2)
[tex]\begin{gathered} By\text{ multiplication,} \\ =-3\cdot-1=3 \end{gathered}[/tex]Hence, the answer is 3
Select the correct answer.
What is the solution to |2x + 3| = 15?
Answer:
6
Step-by-step explanation:
2x+3=15
2x=15_3
2x=12
x=12÷2
x=6
What is the equation of the line that passes through the point (5,3) and has a slope of 3/5
The equation of the line that passes through the point (5,3) and has a slope of 3/5 is y = 3 / 5x .
How to write equation of a line in slope intercept form?The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe equation of the line passes through the point (5,3) and has a slope of 3/5. Therefore, let's find the y-intercept of the line using (5, 3)
y = 3 / 5 x + b
3 = 3 / 5 (5) + b
3 = 3 + b
b = 3 - 3
b = 0
Therefore, the equation of the lines is y = 3 / 5x
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Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.
Answer:
$0.29 is the price difference
Step-by-step explanation:
Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.
6x10^9/5x10^ write your answer in scientific notation
Answer:
1.2*10^4 or 12*10^3
Step-by-step explanation:
(6*10^9)/(5*10^5)=12000
12000=12*10^3
12000=1.2*10^4
I am attaching a picture of the question as you can see my teacher has already answered it but she wants me to show how she got the answer
Surface area of a square pyramid:
[tex]\begin{gathered} SA=B+\frac{1}{2}p\cdot s \\ \\ B=\text{area of the base} \\ p=\text{perimeter of the base} \\ s=\text{slant height} \end{gathered}[/tex]To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:
Pythagorean theorem for the right triangle above:
[tex]\begin{gathered} s^2=h^2+(\frac{1}{2}b)^2 \\ \\ s=\sqrt[]{h^2+(\frac{1}{2}b)^2} \\ \\ s=\sqrt[]{(12in)^2+(\frac{1}{2}\cdot18in)^2} \\ \\ s=\sqrt[]{(12in)^2+(9in)^2} \\ \\ s=\sqrt[]{144in^2+81in^2} \\ \\ s=\sqrt[]{225in^2} \\ \\ s=15in \end{gathered}[/tex]Perimeter of the base is:
[tex]\begin{gathered} p=4b \\ p=4\cdot18in \\ p=72in \end{gathered}[/tex]Area of the square base:
[tex]\begin{gathered} B=b^2 \\ B=(18in)^2 \\ B=324in^2 \end{gathered}[/tex]Then, the surface area of the given pyramid is
[tex]\begin{gathered} SA=324in^2+\frac{1}{2}\cdot72in\cdot15in \\ \\ SA=324in^2+540in^2 \\ SA=864in^2 \end{gathered}[/tex]Find the least common denominator for thesetwo rational expressions.x3-3x2 – 2x + 1 x2 + 6x - 7-Enter the correct answer.000DONEClear all02 ?
Solution
Given
[tex]\begin{gathered} \frac{x^3}{x^2-2x+1}=\frac{x^3}{(x-1)^2} \\ \\ \frac{-3}{x^2+6x-7}=-\frac{3}{(x-1)(x+7)} \\ \end{gathered}[/tex]Hence the LCM is
[tex](x-1)^2(x+7)[/tex]Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 8 minutes in 2 hours. How long did they rest in 3 hours?
The couple rests for 12 minutes in 3 hours in the dance-a-thon.
Given that the couple rests for 8 minutes in 2 hours and also it is given that the contestants rests for the same amount of time every hour.
We will divide the 8 minutes by 2 to get the hourly rest time.
=8/2
=4 minutes per hour.
The couple rests for 4 minutes every hour. For 3 hours they will rest for 3x4 minutes. As they rest for same amount of time every hour.
= 12 minutes for 3 hours.
Therefore, the contestants in a dance-a-thon rests for 12 minutes in 3 hours.
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the skills inWhat is the volume of the following figure?Front viewBack viewiş 1 cubic unitcubic unitsReport a problem
Given that each cube represents 1 cubic units, we need to count how many cubes are in the figure.
From the front view, we count 2 cubes.
From the back view, we count 5 cubes.
There are 5 + 2 = 7 cubes in total, so the volume of the figure is 7 cubic units.
I'll send the pic in the session
The Slope-Intercept form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
In this case you know that "y" represents the number of books in Himanshu's home library and "x" represents the number of weeks.
In the graph you can identify that:
[tex]b=6[/tex]And you can also identify this point on the line:
[tex]\mleft(2,8\mright)[/tex]Where:
[tex]\begin{gathered} x=2 \\ y=8 \end{gathered}[/tex]Substitute these values into the equation
[tex]y=mx+b[/tex]and solve for "m" in order to find the slope:
[tex]\begin{gathered} 8=(m)(2)+6 \\ 8-6=2m \\ \\ \frac{2}{2}=m \\ \\ m=1 \end{gathered}[/tex]Then, the equation of this line is:
[tex]y=x+6[/tex]Based on the explained above, you can conclude that he had 6 books in his library and then he started adding 1 book each week.
To find the number of books he has after 4 weeks, you can make:
[tex]x=4[/tex]Substitute this value into the equation and evaluate. Then:
[tex]y=(4)+6=10[/tex]The answer is: Option A and Option F.
A vendor sells h hotdogs and s sodas. If a hotdog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does a soda cost?.
Given, there are hotdogs and sodas as items. Each hotdog costs twice the cost of soda.
Let's assume the cost of soda is x dollars. Then, the cost of a hotdog would be 2x dollars. Then, h hotdogs cost 2xh dollars, and simultaneously, s sodas cost xs dollars.
Given, the vendor takes a total of d dollars, then
d = 2xh + xs
Therefore, if the price of a soda is x dollars, then
x = [tex]\frac{d}{2h + s}[/tex] dollars
And also, since 1 dollar is 100 cents, therefore, 1 cent would be 0.01 dollars.
So finally, x, the price of a soda in cents would be
x = [tex]100(\frac{d}{2h+s})[/tex] cents
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20) Write a division number story with an answer of 1/4.Be sure to ask a question.
Example : 2 oraanges is to be share among two people in the ratio of 1 to 7. Find the amount of orange each person will get
Since, 16 oranges is to be shared among two people and their ratio is 1 to 7
Firstly, sum the ratios together
= 1 + 7
= 8
For the first person
Since the total ratio is 8
Then the first person will receive 1/8 of the total oranges
[tex]\begin{gathered} \frac{1}{8}\text{ x 2} \\ =\frac{2}{8} \\ =\frac{1}{4} \end{gathered}[/tex]carlos swam to the bottom of a pool that is 12 feet deep. what is the opposite of carlos's elevation relative to the surface ?
A -12 C 12 feet
B 0 feet D 1/12 foot
The opposite of Carlo's elevation is 12 feet
Carlos is said to have submerged himself in a 12-foot-deep swimming pool.
Carlos' elevation will be -12 feet with regard to the surface because he submerged himself to the pool's bottom.
The elevation of Carlos as it relates to the ground would be opposite of -12 feet, or -(- 12) feet.
12 feet
Carlos' elevation in relation to the ground is therefore 12 feet higher than it should be.
Thus the opposite of Carlo's elevation is 12 feet .
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What is (f + g)(x)?f(x) = x + 1g(x) = 3x²Write your answer as a polynomial or a rational function in simplest form.
Given:
f(x) = x + 1
g(x) = 3x²
To find (f + g)(x), sum the like terms of the function.
(f + g)(x) = f(x) + g(x) = x + 1 + 3x²
(f + g)(x) = 3x² + x + 1
Answer: 3x² + x + 1
Can someone help me ill award 30 points
Answer:
The answer is Cai.
Step-by-step explanation:
2 1/4 is 9/4 as an improper fraction. 9/4 as a decimal is 2.25.
2/3 as a decimal is 0.666666666667.
2.25 is great than 0.666666666667, therefore Cai collected the most.
By half-time at a basketball game, Tracy had already made 18 points. He makes only 3-point baskets in the second half of a game and made a total of 33 points the entire game.
Discrete or Continuous?
Find the range and standard deviation of the set of data.230, 232, 234, 236, 238, 240, 242
The data given is ,230, 232, 234, 236, 238, 240, 242.
The range of the data is defined the difference of largest number from smallest number.
The largest number in the data is, 242.
The smallest number in the data is, 230.
Therefore, the range is determined as
[tex]R=242-230[/tex][tex]R=12.[/tex]The range of the set of data is 12.
To determine the standard deviation,
First determine the mean of the data,
[tex]E(x)=\frac{230+232+234+236+238+240+242}{7}[/tex][tex]E(x)=\frac{1652}{7}[/tex][tex]E(x)=236[/tex]The value of
[tex]E(x^2)=(230-236)^2+(232-236)^2+(234-236)^2+(236-236)^2+(238-236)^2+(240-236)^2+(242-236)^2[/tex][tex]E(x^2)=36+16+4+0+4+16+36[/tex][tex]E(x^2)=112[/tex]The standard deviation is determined as,
[tex]SD=\sqrt[]{v}[/tex]Here v denotes the variance.
[tex]v=\frac{112}{7-1}[/tex][tex]v=\frac{112}{6}[/tex][tex]v=18.66[/tex]The standard deviation is given as,
[tex]SD=\sqrt[]{18.66}[/tex][tex]SD=4.32[/tex]1). preises 12,4 the following: Find the intercepts and domain and perform the symmetry test on each parabola with equation: Graph the vertex, focus, and endpoints of the latus rectum; then draw the parabola for each ome axes the parol plete (a) y = 87 (c) y = – 4x (b) x2 = 8y (a) x = - 4y
wee have
y^2=8x
this is a horizontal parabola open to the right
the vertex is the origin (0,0)
so
(h,k)=(0,0) ------> vertex of the parabola
не 22° K What is the measure of angle HJI? O 389 0 68° 112 1589
As, from the figure :
Angle HJK = 90 and IJK =22
Substitute the value :
Angle HJK = Angle HJI and the angle IJK
So, equations will be :
[tex]\begin{gathered} \angle HJK=\angle HJI\text{ + }\angle IJK \\ 90=\angle HJI+22 \\ \angle HJI\text{ = 90 -22} \\ \angle HJI=68 \end{gathered}[/tex]Answer : Angle HJI = 68 degrees
Answer B) 68 degrees
The sum of two numbers is 7. Find the numbers
Statement Problem: The sum of two numbers is 7. Five times the larger number plus four times the smaller number is 48. Find the numbers.
Solution:
Let x be the larger number and y be the smaller number such that;
[tex]\begin{gathered} x+y=7\ldots.\ldots\ldots\text{equation}1 \\ 5x+4y=48\ldots\ldots\text{.equation}2 \end{gathered}[/tex]From equation 1, we have;
[tex]\begin{gathered} x+y=7 \\ x=7-y\ldots\ldots\ldots....\text{equation}3 \end{gathered}[/tex]Substitute equation3 in equation2, we have;
[tex]\begin{gathered} 5x+4y=48 \\ 5(7-y)+4y=48 \\ 35-5y+4y=48 \\ -1y=48-35 \\ -1y=13 \\ \text{Divide both sides by -1;} \\ -\frac{1y}{-1}=\frac{13}{-1} \\ y=-13 \end{gathered}[/tex]Then, substitute the value of y in equation3;
[tex]\begin{gathered} x=7-y \\ x=7-(-13) \\ x=7+13 \\ x=20 \end{gathered}[/tex]Thus, the larger number is 20 and the smaller number is -13
California Chinese Shar Pei Rescue buys 1,898 lbs of dog food. They plan to split it equally among their 26 dogs. How much dog food will each dog receive (this is not per day FYI)?
Answer:
The answer is 73 i hope it helps