Answer:
15 L of water
Step-by-step explanation:
24 pots -------------> require 9L of water
1 pot -----------------> requires (9/24) L of water
40 pots -------------> (9/24) x 40 = 15 L of water
2. Tickets to a play cost $344.50 for a group of 12 adults and 10 children. Each aduit ticket cost
$18.50. What is the cost of one child's ticket?
the table shows the melting points of various elements is the absolute value of the melting point of neon greater than or less than the absolute value of the melting point of hydrogen
The absolute value of the melting point of neon greater than the absolute value of the melting point of hydrogen.
Step-by-step explanation:
In positive numbers, when the number gets larger then it is considered to be the greatest number.
for example: 20 > 5.
Meanwhile, For negative numbers, when the number gets larger then it is considered to be the smallest.
For example: -21 > - 40.
From the given table, we are given with the values of Melting point:
Hydrogen= -259.
Neon = -248.
Oxygen = -218.
We have to compare the melting points of hydrogen and neon,
⇒ - 248 > - 259.
Thus the melting point of the neon is greater than the melting point of the hydrogen.
How do you get the answer to
459.74 x 7.66
Answer:
You multiply, the answer is 3,521.6084.
Step-by-step explanation:
Answer:
3521.6084
Step-by-step explanation:
Remove decimalsMultiply Count the amount of numbers behind decimalTake the number: 35216084Then count the numbers and add the decimalfind 5% less than rupees 180
Answer:
5% less of 180, or 95% of 180
Step-by-step explanation:
FInd 10% of 180, 18, multiply 18 by 9.
18 x 9 = 162, find half of 18 which is 9.
Add to 162.
162 + 9 = 171.
Therefore,
5% less of 180 is 171.
Read the following scenarios. Who is better positioned to invest in bonds and why?
Jim is 24 and earns $62,000 a year. He wishes to invest for his newborn daughter's college education, which is 18 years away. Inflation is currently running at 4.1%, while real interest rates are rising.
Elizabeth is 63 years old and earns $137,000 a year. She wishes to invest for retirement, which is four years away. Inflation is currently running at 1.1%, while real interest rates are falling.
Select the best answer from the choices provided.
A.
Jim is better positioned to invest in bonds because he makes less and has longer before his investment matures.
B.
Jim is better positioned to invest in bonds because inflation is high.
C.
Elizabeth is better positioned to invest in bonds because she has less time before her investment matures.
D.
Elizabeth is better positioned to invest in bonds because real interest
rates are falling.
Answer:
The correct answer is A. Jim is better positioned to invest in bonds because he makes less and has longer before his investment matures.
Step-by-step explanation:
Jim is better positioned to invest in bonds for two reasons:
1. He can invest and take advantage of long-term bonds, between 12 and 20 years of term of maturity, that are those that usually have the highest interest rate. His goal is to invest and save for his daughter's college education, that is a newborn.
2. The real interest rates are rising. It means the bonds interest rates are clearly above the inflation rate in the country where Jim and his family live, having a better return for his investment.
PLEASE HELP ASAP!!!! WILL GIVE BRAINLIEST!!!!!!
Solve full proof, and show all work
Thanks y'all:)
Answer:
Statement (reason):
∆ABC is an isosceles triangle with vertex angle B (Given).
Angle A is congruent to angle E (Given).
Angle BCA is congruent to angle DCE (Given).
BC is congruent to DC (Given).
∆ABC is congruent to ∆EDC (AAS).
AC is congruent to CE (CPCTC).
C is the midpoint of AE (Definition of midpoint).
The width of a rectangle is 4 1/6 feet, and its area is 35 square feet. What is the perimeter of this rectangle?
The perimeter of rectangle is 25.13 feet
Solution:
Given that,
width of a rectangle = [tex]4\frac{1}{6} \text{ feet }[/tex]
Convert the mixed fraction to improper fraction
[tex]\rightarrow 4\frac{1}{6} = \frac{6 \times 4 + 1}{6} = \frac{25}{6}[/tex]
Therefore,
[tex]\text{width of rectangle } = \frac{25}{6} \text{ feet }[/tex]
Area of rectangle = 35 feet
The area of rectangle is given by formula:
[tex]area = length \times width[/tex]
Substituting the given values, we get
[tex]35 = length \times \frac{25}{6}\\\\length = 35 \times \frac{6}{25} = \frac{42}{5}[/tex]
Thus we get,
[tex]\text{length of rectangle } = \frac{42}{5} \text{ feet }[/tex]
The perimeter of rectangle is given as:
perimeter = 2(length + width)
[tex]perimeter = 2(\frac{42}{5} + \frac{25}{6})\\\\perimeter =2(8.4+4.167)\\\\perimeter = 2(12.567)\\\\perimeter = 25.13[/tex]
Thus perimeter of rectangle is 25.13 feet
Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4. Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction. Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4. Who is correct and why?
Answer:
Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step
That is [tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}[/tex] Calvin's step is the correct step.Because this is the correct way to do simplify the rational expression. And also because Nadine made a blender mistake in her operations in step
Step-by-step explanation:
Given that Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4
Their expression can be written as below
[tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}[/tex]
Nadine's first step is to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction
That is [tex]\frac{r^{20}s^{12}}{r^{-32}s^8}[/tex]
Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4
That is [tex]r^{-13}s^{-1}[/tex]
Now simplify the given expression to check whose step is correct:
[tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}[/tex]
[tex]=(r^{-5}s^{-3}r^{-8}s^{2})^{-4}[/tex] ( using the property [tex]\frac{1}{a^m}=a^{-m}[/tex] )
[tex]=(r^{-5-8}s^{-3+2})^{-4}[/tex]
[tex]=(r^{-13}s^{-1})^{-4}[/tex]
Therefore [tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}[/tex]
Therefore Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step.
That is [tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}[/tex] Calvin's step is the correct step .Because this is the correct way to do simplify the rational expression.And also because Nadine made a blender mistake in her operations in step
Color Number of Candies Blue 10 Brown 15 Green 5 Red 10 Yellow 12 The table shows how many of each color candy came out of a bag. What is the probability of choosing a red candy? A) 3/13 B) 5/26 C) 5/52 D) 15/52
Answer:
5/26
Step-by-step explanation:
red / all = 10 / (15+5+10+12 +10)
=10 / 52
=5/26
Probability of choosing a red candy is 5 / 26
Given that:
Number of brown candy = 15
Number of blue candy = 10
Number of red candy = 10
Number of green candy = 5
Number of yellow candy = 12
Find:
Probability of choosing a red candy
Computation:
Total number of candies = 15+5+10+12+10
Total number of candies = 52
Probability of choosing a red candy = Number of red candy / Total number of candies
Probability of choosing a red candy = 10 / 52
Probability of choosing a red candy = 5 / 26
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Amelia can spend no more than $89 to rent a car for a day trip a rental cost $35 per day plus $.20 per mile right and solve an inequality to find the possible distance in miles M that amelia can drive without exceeding her budget
Answer:
The possible distance in miles that Amelia can drive without exceeding her budget is 270 miles
Step-by-step explanation:
Given:
Amelia's budget for renting a car for a day trip = $ 89
Rental cost = $35
cost per mile = $0.20
To Find:
The possible distance in miles that Amelia can drive without exceeding her budget = ?
Solution:
Let M be the number of miles
The equation representing the situation can be
Total budget less than or equal to rental + (number of mile x cost per mile)
That is
[tex]89 \leq 35 +(0.20 \times M)[/tex]
Solving for M, we get
[tex]89-35 \leq 0.20 M\\[/tex]
[tex]54 \leq 0.20M\\[/tex]
[tex]M \leq \frac{54}{0.20}[/tex]
[tex]M \leq 270[/tex]
Amelia's budget: $89. Rental: $35/day + $0.20/mile. Inequality: [tex]\( M \leq 270 \)[/tex] . Amelia can drive ≤270 miles.
let's break it down step by step.
1. Setting up the total cost equation:
We're given that the rental cost is $35 per day plus $0.20 per mile. So, the total cost [tex]\( C \)[/tex] can be represented as:
[tex]\[ C = 35 + 0.20M \][/tex]
Where [tex]\( M \)[/tex] is the number of miles driven.
2. Setting up the inequality:
We're told that Amelia can spend no more than $89. Therefore, we set up the inequality:
[tex]\[ 35 + 0.20M \leq 89 \][/tex]
This inequality represents that the total cost (rental cost plus mileage cost) should be less than or equal to $89.
3. Solving the inequality:
To solve for [tex]\( M \),[/tex] we first subtract $35 from both sides to isolate the term involving [tex]\( M \):[/tex]
[tex]\[ 0.20M \leq 89 - 35 \] \[ 0.20M \leq 54 \][/tex]
4. Dividing both sides by 0.20 to isolate [tex]\( M \):[/tex]
[tex]\[ M \leq \frac{54}{0.20} \] \[ M \leq 270 \][/tex]
5. Interpreting the result:
The inequality [tex]\( M \leq 270 \)[/tex] tells us that Amelia can drive at most 270 miles without exceeding her budget of $89.
So, in detail, Amelia can drive a maximum of 270 miles to stay within her budget. Any distance beyond that would exceed her budget of $89 for the day trip.
please help its urgent and i dont have much time left
Answer:
The statement that is true about deep currents is :
They move cold water along the bottom of the ocean from the Atlantic Ocean to the Pacific Ocean.
The correct option for this is the second option, Option B.
Step-by-step explanation:
The statement that is true about deep currents is :
They move cold water along the bottom of the ocean from the Atlantic Ocean to the Pacific Ocean.
PLEASE HELP MEHHH
Which of the following represents a function?
Answer: The top one
Step-by-step explanation:
Because there can only be one input for one output. (X’s can’t repeat)
How do you rewrite 1 2/3 using twelfths
[tex]1\frac{2}{3}[/tex] can be rewritten as 5/3 which is improper fraction.
What is Fraction?A fraction represents a part of a whole.
Fractions are three types, Proper, improper and mixed fractions.
In proper fractions, denominator is less than numerator.
Improper fractions are fractions whose denominator is greater than numerator.
Mixed fractions can be converted to improper fractions.
The given fraction is improper fraction.
[tex]1\frac{2}{3}[/tex] is a mixed fraction.
((3×1)+2))/3=5/3
Hence, [tex]1\frac{2}{3}[/tex] can be rewritten as 5/3 which is improper fraction.
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The track team needs new uniforms. The students plan to sell plush toy hawks (the school mascot) for $5 each. The students find three companies on line that sell stuffed mascots. Company A sells 18 hawks for $49.14. Company B sells 12 hawks for $33.12. Company C charges $40.65 for 15 hawks. Which company has the Best Buy?
After calculating the cost per hawk for each company, Company C offers the best buy at $2.71 per hawk.
The goal is to find out which company offers the best buy for the plush toy hawks. To do so, we'll calculate the cost per hawk from each company and compare them.
Company A: 18 hawks for $49.14 so $49.14 ÷ 18 = $2.73 per hawkCompany B: 12 hawks for $33.12 so $33.12 ÷ 12 = $2.76 per hawkCompany C: 15 hawks for $40.65 so $40.65 ÷ 15 = $2.71 per hawkCompany C offers the lowest cost per hawk at $2.71, thus they have the best buy.
I am an odd number, I am less than 100, the sum of my digits is 12, I am a multiple of 15, What number am I?
Answer: 75
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
multiple of 15
7+5=12
This is so confusing pls help: 60 percent of 78 is the same as 65 percent of what number?
60 percent of 78 is the same as 65 percent of 72.
Step-by-step explanation:
Let,
x be the unknown number.
According to given statement;
60% of 78 = 65% of x
[tex]\frac{60}{100}*78=\frac{65}{100}x\\0.60*78=0.65*x\\46.8=0.65x\\0.65x=46.8\\[/tex]
Dividing both sides by 0.65
[tex]\frac{0.65x}{0.65}=\frac{46.8}{0.65}\\x=72[/tex]
Therefore;
60 percent of 78 is the same as 65 percent of 72.
Keywords: percentage, division
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Answer:
72
Step-by-step explanation:
sheesh kinda bussing
btw shesh
How do you workout 28 divided by 812
Answer:
29
Step-by-step explanation:
Look at image
equation in slope intercept form for a line that passes through (1,5) and (1,1)
Answer:
x = 1
Step-by-step explanation:
If you graph this, you will see that you will get a line that is straight up and down (or perpendicular to the x axis). No matter what y is, x will always be 1.
If f(x) = -4x2 - 6x- 1 and g(x) = -x2 - 5x + 3, find (f+ g)(x).
O A. (f+ g)(x) = 5x2 + 11x+ 4
O B. (f+ g)(x) = - 5x2 - 11x + 2
O C. (f+g)(x) = -5x2 - x-4
O D. (f+9)(x) = 3x2 + x+4
Answer:
Step-by-step explanation:
f(x) = -4x^2 - 6x - 1 ........ g(x) = -x^2 - 5x + 3
find (f + g)(x)
-4x^2 - 6x - 1 + (-x^2 - 5x + 3) =
-4x^2 - 6x - 1 - x^2 - 5x + 3 =
-5x^2 - 11x + 2 <====
Answer: B
Step-by-step explanation:
-4x2 + (-x2)= (-6x2) (-6x) + ( -5x)= (-11x) (-1) + 3= 2-6x2-11x+2is 0.325 a rational or irrational
Answer:
rational number
Step-by-step explanation:
Answer:
It's a rational. You can convert this to a simplified fraction
An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.
Can someone please answer these struggling in math
Answer:
6. a=22, b= 11
7. a =4, b=
[tex]2 \sqrt{2} [/tex]
Step-by-step explanation:
6.
[tex] \tan(30) = \frac{b}{11 \sqrt{3} } \\ or \: \: ( \frac{1}{ \sqrt{3} } ) = \frac{b}{11 \sqrt{3} } \\ or \: \: \: b = 11 \\ and \: \sin(30) = \frac{11}{a} \\ or \: \ \: \frac{1}{2} = \frac{11}{a} \\ \: \: \: \: a = 22[/tex]
Hope u understand....
Given that the points (-7, 6), (3, 6), (3, -6), and (-7, -6) are vertices of a rectangle, how much longer is the length than the width?
Answer:
Therefore,
The Length is longer than Width by 2 units.
[tex]Length=Width+2[/tex]
Step-by-step explanation:
Given:
Let the vertices of a Rectangle be
A ( -7 , 6)
B ( 3 , 6)
C ( 3 , -6)
D ( -7 ,-6)
To Find:
Relation between Length and Width = ?
Solution:
First we will find the Length and Width of Rectangle by Distance Formula ,
[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]
Substituting the values we get
[tex]l(AB) = \sqrt{((3-(-7))^{2}+(6-6)^{2} )}[/tex]
[tex]l(AB) = \sqrt{((10)^{2}+(0)^{2} )}\\l(AB)=\sqrt{100}=10\ unit[/tex]
Similarly for BC we will have,
[tex]l(BC) = \sqrt{((3-3)^{2}+(-6-6)^{2} )}\\l(BC)=\sqrt{144}=12\ unit[/tex]
Now
Length = 12 units.
Width = 10 units.
Therefore,
Let Length be denoted by "L" and Width by "W" then
[tex]Length=Width+2=10+2=12\\\\\therefore L=W+2[/tex]
Therefore,
The Length is longer than Width by 2 units.
[tex]Length=Width+2[/tex]
What the equation of a circle that has a center (-11, -8 ) and radius of 4
Answer: x² + y² + 22x + 16y + 169 = 0
Step-by-step explanation:
Equation of a circle with center (a,b) , and radius r i.e center is not the origin
The equation becomes
( x - a )² + ( y - b )² = r² ------------------------------ 1
a = -11, b = -8
[( x - (-11 )]² + [( y - (-8)]² = 4²
( x + 11 )² + ( y + 8 )² = 4²
Carry out expansion
x² + 22x + 121 + y² + 16y + 64 = 16
Rearrange the expression,
x² + y² + 22x + 16y + 121 + 64 - 16 = 0
x² + y² + 22x + 16y + 169 = 0
The equation of the circle is
x² + y² + 22x + 16y + 169 = 0
James has pennies nickels and dimes in his bank he is has more than $1.60 and less than $2.00 in the bank there are 5 times as many pennies as dimes there is an equal number of nickels dimes what’s exact amount of money in his bank
James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of nickels and dimes. what is the exact amount of money in his bank?
Answer:
The exact amount of money in his bank is $ 1.8
Solution:
Let "p" be the number of pennies
Let "d" be the number of dimes
Let "n" be the number of nickels
Given that,
There are 5 times as many pennies as dimes
Number of pennies = 5 times the number of dimes
p = 5d ----------- eqn 1
There is an equal number of nickels and dimes
n = d -------- eqn 2
We know that,
value of 1 dime = 0.10 dollar
value of 1 nickel = 0.05 dollar
value of 1 penny = 0.01 dollar
The total value of coins is:
total value = d(0.10) + n(0.05) + p(0.01)
Substitute eqn 1 and eqn 2
total value = d(0.10) + d(0.05) + 5d(0.01)
total value = 0.2d
Given that he has more than $1.60 and less than $2.00 in the bank
Therefore, 0.2d must be greater than 1.60 and less than 2.00
Try for d = 8
total value = 0.2 x 8 = 1.6
But value must be greater than 1.6
Try for d = 9
total value = 0.2 x 9 = 1.8
Thus 1.8 is greater than 1.60 and less than 2.00
Therefore, the exact amount of money in his bank is $ 1.8
Brainliest if you are right
Answer:
e
Step-by-step explanation:
because the lines are less scattered and they all are going straight up. they are also higher then all of the other ones.
Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?
[tex]48 {in}^{2} [/tex]
Answer: B . 48 in²
Step-by-step explanation:
First o all complete the block and find the area
The area of the completed block which looks like a rectangle
= L x B
= 9 x 6
= 54 in²
Step 2 : Find the area of the removed right angled triangle using the formula
= ¹/₂b x h
where the base is 3 in and the height is 4 in
= ¹/₂ x 3 x 4
= 6 in².
Therefore, to find the area of the remaining figure :
Area of the complete block less the area of the right angled triangle
= ( 54 - 6 ) in²
= 48 in²
The option therefore is B
A magazine as states that 4 out of 7 dentists prefer flash toothpaste.If 1400 dentists were surveyed, how many dentists recommended Flash toothpaste
Answer:
800
Step-by-step explanation:
1400 (the whole) / 7 (the whole) =200 (the partial) 200*4=800
Answer:
800
Step-by-step explanation:
4 out of 7 equals x out of 1400?
4/7 = x/1400
Cross multiply.
7x = 4 * 1400
Divide both sides by 7.
x = 4 * 1400/7
x = 4 * 200
x = 800
Answer: 800 dentists
Emelina wrote the equation of a line in point-slope form as shown below.
(y + 4) = 3 (x + 2)
What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10
Answer:
y = 3x +2
Step-by-step explanation:
The first answer
help pls i will mark brainiest
Travis made a scale drawing of a horsefly. If the scale is 4 mm = 1 cm , then what is the actual wingspan of the horsefly?
5.0 cm
6.4 cm
4.4 cm
5.5 cm
solve the system of linear equations 4x-2y=8 y=3/2x-2
The solution to the system of linear equations 4x - 2y = 8 and y = (3/2)x - 2 is x = 4 and y = 4, found by substituting y in the first equation with the expression from the second equation and solving for x.
The student is asking to solve a system of linear equations. The equations provided are:
4x - 2y = 8
y = (3/2)x - 2
We will solve this system using substitution since the second equation is already solved for y. Here are the steps:
Substitute y in the first equation with the expression from the second equation: 4x - 2((3/2)x - 2) = 8.
Simplify the equation: 4x - 3x + 4 = 8.
Solve the simplified equation for x: x + 4 = 8, which leads to x = 4.
Substitute x back into the second equation to find y: y = (3/2)4 - 2.
Calculate the value of y: y = 6 - 2, which leads to y = 4.
The solution to the system of equations is x = 4 and y = 4.