There are 5 people in the family.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that each member of angela's family drank an 8-ounce mixture of coffee with milk.
Let the number of people would be n.
And a represents the coffee, and b represents the milk,
One-quarter of the milk and one-sixth of the coffee was consumed by Angela.
⇒ Angela drank b/4 of milk and a/6 of coffee.
Since everyone drank the same amount of coffee,
We have been to create an equation as
⇒ (a/6 + b/4)p = a + b
⇒ 2a(6 - n) = 3b(n - 4)
Given that both a and b are positive, we must fulfill the condition.
⇒(6 - n) > 0 and (n - 4) > 0
⇒ 6 > n and n > 4
So, the correct number of people = 5.
Hence, there are 5 people in the family.
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5.
.A rancher divided his land into square sections. One large section has an area of 112 square
miles. To the nearest tenth of a mile, what is the length of one side of this tract of land?
To the nearest tenth of a mile, the length of one side of this tract of land is 0.64 miles
This problem can be solved by using the concept of scale factor. Scale factor is useful in finding proportional measurements.
Proportion implies having the same ratio.
Scale factor can be defined as the ratio of the measurement of the model to the measurement of the actual form in the simplest form. In other words, the ratio of any two corresponding lengths in two similar geometric figures is called a scale factor.
If the scale factor is more than 1, that is, scale factor > 1,
then it is an enlargement,
If the scale factor is less than 1, that is, scale factor < 1,
then it is a reduction.
A rancher divided his land into square sections.
To the nearest tenth of a mile, the length of one side of this tract of land = 0.64 miles
Therefore, we get the length of one side of this tract of land as 0.64 miles.
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help me please i do not understand
Answer: 124.3%
Step-by-step explanation:
318.2/256=1.24296875
1.24296875*100=124.296875
124.296875=124.3%
Since 318.2 is greater than 256, the percent is going to be greater than 100, because the number 318.2 is more than 100 of 256 which basically translates to 318.2 being greater than 256.
a = h/b, solve the formula for b
a = h/b
x b, both sides
ab = h
÷a
b = h/a
B = h/a
Hope this helps!
Answer: b = h/a
Step-by-step explanation: What you need to do is to get b by itself and to do that you have to move b to the other side because it's being divided by b. To do that you multiply by b on both sides.
1) ab = h
Now, isolate b by dividing a into both sides.
2) b = h/a
Now, you have b alone you know what b is equal to.
find the quotient 37/7
Answer:
5
Step-by-step explanation:
quotient = divide.
37 / 7 = 5
If Naomi were to paint her living room alone, it would take 7 hours. Her sister Colleen could do the job in 8 hours. How many hours would it take them working
together? Express your answer as a fraction reduced to lowest terms, if needed.
Answer:28/11
Step-by-step explanation:
1/4 hours for naomi
1/7 hours for collen
1/4+1/7=4+7 7x4=11/28
what is -7/8-(3/5) in the simplest form
The integer in simplest form in -59/40.
It is required to find the scientific notation.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given integer is
-7/8-(3/5)
We have to find the integer in simplest form.
According to given question we have
-7/8-(3/5)
=-7/8-3/5
Taking LCM of 8 and 5 we get,
LCM(8,5)=40
=-35-24/40
=-59/40
Therefore, the integer in simplest form in -59/40.
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calculate how many acres are in the southwestern 1/4 of the northern 1/2 of the eastern 1/2 of section 14.
Section 14 makes about 40 Acres.
640 acres make up a square mile.
Given are the southwest quarter, the northern half, and the eastern half.
Consider that 2x2x4=16.
640 divided by 16 equals 40 acres.
40 acres make up Section 14.
How do you estimate the value per acre?
At first appearance, the calculation for calculating price per acre (PPA) appears to be rather straightforward.It is calculated by dividing the value of your property (v) by the number of acres (a). Therefore, v / a = PPA. As an acre is already regarded as a squared number, you don't need to worry about squaring the measurement.
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please help for these.
Step-by-step explanation:
also it is one to one since the inverse is y = x² given that x > or = to zero.
why?
Since the value inside of the square roo should be absolute value as negative numbers make the function complex.
Jai drove 225 miles in 5 hours. On average, how fast did he drive, in miles per hour?
1-16 please help!!!!!!!!!!!!!!
Gordon invests $2,500 for 20 months at a simple interest rate of 12.4%. the amount of interest received is found by i=prt since r= 0.124. i=0.124 x p x t. what are p and t?
The p and t represent Principal and time and interest is 517.7
We are given the formula to find the interest. So, the formula is -
I = (PRT) ÷ 100
In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.
Keep the values in formula to calculate the interest -
As per the known fact, 12 months = 1 year
So, 20 months = (1 ÷ 12) × 20
20 months = 1.67 years
Interest = (2500 × 12.4 × 1.67) ÷ 100
Performing multiplication in numerator
Interest = 51,770 ÷ 100
Performing division to find the interest
Interest = 517.7
Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.
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10.132 < x < 10.133 write down a possible value of x
Answer:
{x|10.132 < x < 10.133}
Step-by-step explanation:
I think this will be the answer
The required value of the variable x can be found as 10.1325.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is 10.132 < x < 10.133.
It implies that the value of x lies between 10.132 and 10.133.
Write the given numbers up to four decimal places as,
10.1320 and 10.1330
Then, the required value of x can be written as 10.1325.
Hence, the value of x can be found by writing the numbers in equivalent form as 10.1325.
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An architect makes a scale model of a new sports hall, the model is measured 15cm(l),11.5 (w), 2.5cm (h). if the height of the hall is to be 7.5m, what is the scale being used
Scale being used = 1 : 300
It is given that the model measured the height as 2.5cm.
The height of the hall = 7.5 m = 750 cm
By using the formula
Scale to be used = size down/ Actual size
= 2.5/ 750
= 1/300
= 1 : 300
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-2x + 14y = -29
x - 7y = 19
elimination process
Answer:
No solution
Step-by-step explanation:
Let's solve your system by elimination.
−2x+14y=−29;x−7y=19
Multiply the second equation by 2, then add the equations together.
(−2x+14y=−29)
2(x−7y=19)
Becomes:
−2x+14y=−29
2x−14y=38
Add these equations to eliminate x:
0=9
f+an=g Solve for 'a'.
Answer:
a= [tex]\frac{g-f}{n}[/tex]
Step-by-step explanation:
First, start off by subtracting f from both sides. This gives you "g - f" and you are left with "an." Now, to isolate the variable, we must divide "n" from both sides and you will get "a= g - f/n," which is the final answer.
Hope this helps! :D
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All of them would accurately represent how many flowers of each type she used
How many solutions does the equation have? 4h + 2 = 3h - 7
Answer:
1 solution
Step-by-step explanation:
4h + 2 = 3h - 7
Subtract 3h from both sides:
(4h + 2) - 3h = (3h - 7) - 3h
h + 2 = -7
Then, subtract 2 from both sides to isolate h:
(h + 2) - 2 = (-7) - 2
h = -9
There is one solution, -9.
How do I solve this
What is the greatest common factor of 56,72,100
Answer:
4
Step-by-step explanation:
56/4=14
72/4=18
100/4=25
4 has to be the biggest common factor.
3 pens cost £2.25
5 folders cost £5.80
Chris wants to buy 30 pens and 30 folders.
He only has £60
Does Chris have enough money to buy 30 pens and 30 folders?
You must show how you get your answer.
Yes, Chris has enough money to buy 30 pens and 30 folders.
What is money?Money is a commodity that is widely accepted as a medium of economic exchange. It is the primary means of expressing prices and values; as currency, it circulates anonymously from person to person and country to country, facilitating trade; and it is the primary measure of wealth.Given:
3 pens cost £2.25.5 folders cost £5.80.Chris wants to buy 30 pens and 30 folders.He only has £60.So, the cost of 30 pens will be:
When: 3 pens = £2.25Then: 3×10 = £2.25×1030 pens = £22.5Similarly, the cost of 30 folders will be:
When: 5 folders cost £5.80Then: 5×6 = £5.80×630 folders = £34.8Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3
Given that Chris has £60.Therefore, yes Chris has enough money to buy 30 pens and 30 folders.
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2x+4=3x-2 solve for x
Answer:
x = 6
Step-by-step explanation:
2x + 4 = 3x - 2
2x - 3x = -2 - 4
-x = -6
x = 6
Answer:
x = 6
Step-by-step explanation:
We are given this equation:
2x + 4 = 3x - 2
And we want to evaluate the equation for x.
To do this, we need to isolate the variable (x) on one side of the equation.
We can start by putting the numbers on one side.
We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.
2x + 4 = 3x - 2
-4 -4
___________________
2x = 3x - 6
Now, let's put the variables on the other side.
Subtract 3x from both sides.
2x = 3x - 6
-3x -3x
______________
-x = -6
Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.
-x is the same as -1x, or -1 * x.
So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.
Let's multiply both sides by -1.
-1(-x) = -1(-6)
x = 6
The value of x is 6.
p(z) = 3r+4
q(z) = 2z²
Find p (q(z))
The value of the function p (q(z)) is 6z² +4 .
By considering the given functions
p(z) = 3r+4
q(z) = 2z²
p (q(z))= p( 2z²)
p (q(z))= 3(2z²)+4
p (q(z))= 6z² +4
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
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A student measured the mass of a rock as 20 g. But the actual mass of the rock is 30 g. What was the student's percent deviation?
Answer:
33.3%
Step-by-step explanation:
%error =error/actual value*100
=30-20/30*100
=10/30*100
=33.3%
In what situation would a geometric model be better than a binomial model
Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).
The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.
Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).
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what is the measure of angle B if angle C is 34 degrees and angle A is unknown?
please help
The measure of the angle B is equal to 56°.
What is the measure of the missing angle of the a right triangle?
A right triangle is a triangle, of which one of the three angles is a right angle. In accordance with Euclidean geometry, the sum of the measures of the internal angle is equal to 180°. Then,
m ∠ A + m ∠ B + m ∠ C = 180°
90° + 34° + m ∠ B = 180°
124° + m ∠ B = 180°
m ∠ B = 180° - 124°
m ∠ B = 56°
The measure of the angle B is equal to 56°.
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If point A is located at (-7, 5) on a coordinate plane, and point B is located at (4, 5), what is the distance between the two points?
[tex] x_{ 1} = - 7 , x_{ 2} = 4 \\ y_{ 1} = 5 , y_{ 2} = 5[/tex]
Using the distance formula
[tex] \sqrt{(x_{2 } - x_{ 1} {)}^{2} + (y_{ 2} -y_{ 1} {)}^{2} } [/tex]
Substitute with the given values
[tex] \sqrt{(4 - ( - 7 {)}^{2} + (5 - 5 {)}^{2} } [/tex]
[tex] \sqrt{(11 {)}^{2} + (0 {)}^{2} } [/tex]
[tex] \sqrt{121 + 0} = \sqrt{121} [/tex]
[tex] \sqrt{121} = 11[/tex]
Therefore:
Distance [tex] = 11[/tex]
A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
The absolute value inequality is
.
The acceptable range of heights of a guardrail are
cm to
cm.
A guardrail's acceptable height range is 99cm to 113cm and the definite absolute value inequality is as follows | h - 106cm | ≤ 7cm,
How to define an inequality? A statement stating that one quantity is less than or (greater than) another.An inequality solution is a number that, when replaced for the variable, makes the inequality true.We understand that the height must be 106cm with a maximum absolute deviation of 7cm.
As a result, the maximum height is:
106cm plus 7cm = 113cm
The bare minimum is:
99cm = 106cm -7cm
This is represented by the absolute value equation:
| h - 106cm | ≤ 7cm
In which h is the guardrail's height.
A guardrail's acceptable height range is 99cm to 113cm.
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y² – 12y +?
can someone help me?
Answer:
+ 36
Step-by-step explanation:
assuming you require to make the terms into a perfect square.
using the method of completing the square
add ( half the coefficient of the y- term )² to y² - 12y
y² + 2(- 6)y + (- 6)²
= y² - 12y + 36
= (y - 6)² ← a perfect square
Given the system of equations:
6x + 2y = −6
3x − 4y = −18
Solve for (x, y) using elimination.
(0, −3)
(−1, 0)
(−2, 3)
(−14, −6)
Answer:
(- 2, 3 )
Step-by-step explanation:
6x + 2y = - 6 → (1)
3x - 4y = - 18 → (2)
multiplying (1) by 2 and adding to (2) will eliminate y
12x + 4y = - 12 → (3)
add (2) and (3( term by term to eliminate y
15x + 0 = - 30
15x = - 30 ( divide both sides by 15 )
x = - 2
substitute x = - 2 into either of the 2 equations and solve for y
substituting into (1)
6(- 2) + 2y = - 6
- 12 + 2y = - 6 ( add 12 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
solution is (- 2, 3 )
Answer:
(-2, 3)
Step-by-step explanation:
convert the answer to litres. use 1m³=1000l
Answer: 1 L = 0.001 m³
Step-by-step explanation:
1m³ =1000 L
0.001 m³ = 1 L