A pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.
We have :
Variable g is 8 more than variable w, mathematically we can write it as:
g = w + 8 ....(1)
Also, variable g is also 4 less than variable w, mathematically we can write it as:
g = w - 4 ....(2)
The equation (1) and equation (2) are representing the system of linear equation in two variables.
So, we have framed two linear equation, that is:
g = w + 8 and
g = w - 4
Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
Learn more about the linear equation here:
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Answer:
b
Step-by-step explanation:
Lindsey purchased one pet carrier that $21.89 and two bags of cat food that cost $16.46 each what was the total cost of these items?
Answer:
[tex]\huge\boxed{\sf \$54.81}[/tex]
Step-by-step explanation:
The cost of pet carrier = $21.89
The cost of 1 bag of cat food = $16.46
The cost of 2 bags of cat food = $16.46 × 2
= $32.92
Total cost:
= $21.89 + $32.92
= $54.81
[tex]\rule[225]{225}{2}[/tex]
[tex] \text{Cost of one pet carrier =}[/tex]$21.89
[tex] \text{Cost of one cat food bag =}[/tex]$16.46
[tex] \therefore \text{Cost of two cat food bag = }[/tex]$16.46×2= $32.92
[tex] \therefore\bold{\underline{Total\:cost}}\text{\:of each items = }[/tex]
$21.89 + $32.92 =[tex] \boxed{\sf \$ \red{54.81}}[/tex]
Hope This HelpsJuan puts 36,500 milliliters of gasoline in his vehicle. A liter of gasoline costs $1.68.
How much did the gasoline cost?
Enter your answer in the box.
Answer:
$ 61.32
Step-by-step explanation:
36500 ml / 1000ml/l = 36.5 liters
36.5 liters * 1.68 $/liter =
A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?
The quadratic equation will have no real solutions.
Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]
What is the discriminant of a quadratic equation?The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.
[tex]D > 0[/tex] the roots are real and distinct.
[tex]D=0[/tex] the roots are real and equal.
[tex]D < 0[/tex] the roots will be imaginary.
We have [tex]D=-16[/tex] which is negative.
So, the roots will be imaginary.
So, the given quadratic equation will have no real solutions.
Hence, the given quadratic equation has no real solutions.
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It takes you 1/4 hours to walk 1/3 of a mile.
How long will it take you to walk 2 1/2? Miles?
PLS HELP ASAP
Answer:
15/8 Hours
Step-by-step explanation:
To start, I would find see how long it takes to walk a mile.
1/3 · 3 = 1
1/4 · 3 = 3/4
So we now know that walking one mile takes 45 minutes. Next, I multiplied 1 mile by 2.5 and repeated the same process with the time.
3/4 · 5/2 = 15/8
Therefore, it takes 15/8 hours to walk 2.5 miles.
Solve the following:
Answer:
-4
Step-by-step explanation:
9^2+19/(10^2-5^3)
9^2+19/(10^2-5^3)=81+19/100-125
9^2+19/(10^2-5^3)=81+19/100-125=100/-25
9^2+19/(10^2-5^3)=81+19/100-125=100/-25= -4
Martin runs three fourths mile three days a week. How many miles does he run in four weeks? (2 points)
a
9 miles
b
nine and one third miles
c
6 miles
d
six and two thirds miles
Answer: 9miles
Step-by-step explanation: ¾miles three days a week = 9/4 miles a week
In 4 weeks he will run 9/4 × 4/1
Use the distributive property and then simplify the expression.
3(x-8)+6(x+4)
A grain of sand has a diameter that is 2 mm long. Under a magnifying glass, it looks 20 mm long. What magnification was used?
Answer:
Times 10 magnify
Step-by-step explanation:
Grayson asked 50 people how many times they exercise per week. The curcle graph shows the responses and the percentages of people who gave each response hos many of the people surveyed exercise once a week or less
There were 8 people who surveyed exercise once a week or less out of the 50 people who were surveyed.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the circle graph, percentage of the people surveyed exercise once a week or less = 100% - (10% + 40% + 20% + 14%) = 16%
Number of the people surveyed exercise once a week or less = 15% of 50 = 0.16 * 50 = 8
There were 8 people who surveyed exercise once a week or less
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14. Solve the equation using the Zero Product Property
(2x-4) (2x-1)=0
A. 2, -1/2
B. 2,1/2
C.-2, 2
D. -2,1/2
16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.
A. 15m
B. 3m
C. 12m
D. √12m
Answer:
14) D; 16) C.
Step-by-step explanation:
14) the given equation can be written (x-2)(x-1/2)=0;
D. -2; 1/2.
16. if the original length is 'x', then it is possible to make up the equation of area:
(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.
Can you check the answers pls ?
Thank you
Answer:
yeah it's perfect u did a grade job
The more people living in an area, the more likely it is that public buses will be used. city a has a population of 51,242 and covers an area of 89.22 mi2. city b has a population of 50,178 and covers an area of 8.12 mi2. which statement about use of public buses in the cities is most likely true? the residents of city a are more likely to use public buses because their city has a greater population density. the residents of city b are more likely to use public buses because their city has a greater population density. the residents of both cities are equally likely to use public buses because both population densities are about the same. the residents of both cities are unlikely to use public buses because both population densities are too high.
The population density of city-B is greater, so, the public bus must be used for city-B.
What is the population density?Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area.
The total population of city A= 51,242
The total area of city A =89.22 mi^2
The population density of city A is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\ Population \ density=\dfrac{51,242}{89.22}\\\\ Population\ density=574.3331[/tex]
The total population of city B = 50178
The total area of city B =8.12 mi^2
The population density of city B is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\Population \ density=\dfrac{50178}{8.12}\\\\Population \ density=6179.55665[/tex]
Hence, the population density of city-B is greater, so, the public bus must be used for city-B.
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Answer:
b is the answer
Step-by-step explanation:
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.
Suppose that you are given the value of the unknown number. Verbally describe two methods for finding the area of this rectangle. Use complete sentences in your answer.
PLS HELP
is −0.25 rational or irrational
-0.25 is rational.
Brainly patrol, don't you even dare.
Sixteen and eight hundred fifty-two thousandths written in standard form
Answer:
16.852
Step-by-step explanation:
Writing the worded terms
Sixteen = 16Eight hundred fifty two thousandths = 852 x 10⁻³ = 0.852Standard form
16 + 0.85216.852What is the volume of this sphere?
Question 13 options:
36πcm3
12πcm3
864πcm3
288πcm3
288π cm³
================
volume of sphere: 4/3 * π * radius³
⇒ 4/3 * π * (6)³
⇒ 4/3 * 216 * π
⇒ 288π
Help please! Put a step-by-step explanation.
No links.
Answer:
70 degrees
Step-by-step explanation:
Angles directly opposite are equal
Psychologists found over 18,000 different traits by compiling those listed in a dictionary.
А.True
В.False
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Elias tossed a ball into the air. The following table represents the ball's height with respect to time, where y represents the ball's height, in feet, and x represents number of seconds after the ball was tossed.
The table is an illustration of a quadratic function, and the range of Ella's table is 0 ≤ y ≤ 9
How to determine the range?From the complete question, we have the following highlights:
The minimum output value is 0, and the maximum output value is 9
This means that the range of the table is 0 to 9
Express properly as:
0 ≤ y ≤ 9
Hence, the range of Ella's table is 0 ≤ y ≤ 9
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Use the matrix tool to solve the system of equations. Enter the answer as an
ordered pair.
4x-y=0
8x +4 =18
Answer:
(-1/2,2)
Step-by-step explanation:
2(4x+y=0)=8x+2y=0
8x+2y=0
-(8x-y=6)
3y=6
Divide both sides y=2
4x+2=0
4x=-2
divide both sides x=-1/2
what are rational. numbers?
Rational numbers are defined as "a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." This quote can be broken down to make it easier to understand. In basic terms, a rational number is a real number that is an integer, fraction, terminating decimal, or repeating decimal.
Integer
An integer is any positive or negative whole number including 0. Examples of integers include 4, -9, and 0.
Fraction
All fractions that do not have a 0 denominator (which makes the number undefined) are rational numbers. Additionally, complex fractions are not always considered rational numbers. Complex fractions are fractions where either the numerator or denominator is a decimal or fraction itself. Examples of rational fractions include [tex]\frac{4}5}[/tex], [tex]\frac{7}{4}[/tex], and [tex]\frac{2}{2}[/tex].
Terminating Decimals
Terminating decimals are decimals that have a finite number of digits. This means that the decimal stops at some point. Examples of terminating decimals include 0.346, 0.47834, and 0.345832454525456
Repeating Decimals
Repeating decimals are any decimal that is not terminating but has some pattern that repeats for infinity. Examples of repeating decimals include [tex]0.\bar 9[/tex], [tex]0.\bar8\bar6[/tex], and [tex]0.\bar 5\bar7\bar8\bar4[/tex]. In this case, the bar notation represents numbers that repeat forever.
What is the value of x in the equation −6 + x = −3? (5 points) Group of answer choices −9 −3 9 3
Answer:
The value of x is 3
Step-by-step explanation:
=> −6 + x = −3
=> x = -3+6
=> x = 3
what is porpotinal to 1/5
Answer:
To find fractions, multiply 5 by the numerator to find the denominator.
Step-by-step explanation:
Fractions:
1/5, 2/10, 3/15, etc.
Decimal:
0.2
Percentage:
20%
Translate this into an algebraic equation.
Milo is 400,000$ in debt. He gets a job that pays 1,906.67 a month. How much money will Milo have in 12 months?
Answer:
$22,880.04 Without paying off the debt
$18,880.04 After paying off the debt
Step-by-step explanation:
Help!! The angle measurements in the diagram are represented by the following expressions.
∠
A
=
5
x
+
3
4
∘
∠A=5x+34
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, plus, 34, degrees, end color #11accd
∠
B
=
2
x
+
7
6
∘
∠B=2x+76
∘
Answer:
[tex]\boxed{\bf \angle A=84^o}[/tex]
Step-by-step explanation:
From the given diagram, we can see that ∠B & ∠C are corresponding angles, which means that they are equal. The two angles that form a straight line are supplementary angles (the sum of two supplementary angles is 180°).
[tex]\bf 5x+34^o+\angle C=180^o[/tex]
[tex]\bf 5x+34^o+\angle B=180^o[/tex]
[tex]\bf 5x+34^o+2x+76^o=180^o[/tex]
Now, let's solve for x :-
[tex]\bf (5x+34^o)+(2x+76^o)=180^o[/tex]
[tex]\bf (5x+2x)+(34+76)=180^o[/tex]
[tex]\bf 7x+110=180^o[/tex]
[tex]\bf (7x+110)-110^o=180-110^o[/tex]
[tex]\bf 7x=70^o[/tex]
[tex]\bf \cfrac{7x}{7} =\cfrac{70}{7}[/tex]
[tex]\boxed{\bf x=10^o}[/tex]
Now, in order to find ∠A will substitute the value of x into the expression:-[tex]\bf \angle A=5x+34^o[/tex]
[tex]\bf \angle A=5(10)+34^o[/tex]
[tex]\bf \angle A=84^o[/tex]
______________________
Practice A
In Exercises 1-3, find the value of x. Write your answer in simplest form.
Answer:
Where is the question??
The second term is 5 the fourth term is 12 and the seventh term is 22. 5 what is the first term?
Answer:
3.5
Step-by-step explanation:
each jump will increase 3.5
order: 2 3 4 5 6 7
num: 5 8.5 12 15.8 19 22.5
The coordinates of the vertices of a polygon are (1, 2), (1, -1), (-6, -1) and (-6,2). What is the perimeter of the polygon
Check the picture below.
laws of exponents:
other:
5⁰*2³
Answer:
8
Step-by-step explanation:
Hello!
Remember that any value to the power of 0, is always 1.
So we can simplify this expression using that knowledge.
Simplify:
[tex]5^0 * 2^3[/tex][tex]1 * 2^3[/tex][tex]2^3[/tex][tex]8[/tex]The correct solution is 8.
James and Kian both took an online IQ exam independently. The probability that James will pass the test is 0.8 and Kian is 0.7 respectively.Find the probabilities that neither one of them will pass the test.
Answer:
they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass