Answer:
Step-by-step explanation:Its 321
Any genius want a brainliest :)
Answer:
1.) q less than a number m times 7 is equal to 23
2.) 3 times a number g plus 8 is equal to 10 less than a number h times 4
3.) 6 more than a number k times 9 is equal to 54
4.) a number f times 7 less than a number of d squared times 6 is equal to a number d times 8 more than a number f squared
5.) a number g times 3 is equal to 45
(I might be wrong, so try to read the equations out loud to see if you agree)
The difference of two rational numbers is an irrational number
The correct answer is false.
A rational number also includes the sum of two rational numbers.
An integer is the result of two integers.An integer is what separates two other integers.The following is the formula for subtracting two rational numbers:a/b-c/d=ad-bc/bd
Since a/b and c/d are integers, and we know that a, b, c, and d are all rational numbers. Since ad and bc are both integers under our rule, it follows that ad - bc is also an integer. As a result, our rule states that ad, bc, and bd are all integers. As a result, we know that ad - bc and bd are integers and that the difference between two rational numbers is a number of the type a/b-c/d=ad-bc/bd is the precise definition of a rational number, where ad - bc and bd are integers. Thus, we may conclude that a rational number is the difference between two rational numbers.
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In sale time at a certain clothing store, all shoes are on sale for $8 less than 50% of the original price. Write a function g that finds 50% of x by first rewriting 50% as a fraction or a decimal.
well, we can say that the function will be y = (50% of "x") - 8.
wait a minute! what's the 50% of "x" anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of x}}{\left( \cfrac{50}{100} \right)x}\implies 0.5x~\hfill {\LARGE \begin{array}{llll} g=0.5x - 8 \end{array}}[/tex]
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $54 and $82 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.) 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF. 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 58.2 HCF. 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 38.2 and 78.7 HCF. 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 58.9 and 78.7 HCF.
Using a linear function, we have that:
The inequality is: 54 ≤ C(x) ≤ 82.To stay within the range, the usage should be between 17.7 and 37.6 HCF.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For the cost function, we have that:
The fee of $29 is the intercept.The cost of $1.41 per HCF is the slope.Hence the function is:
C(x) = 29 + 1.41x.
The recommended monthly bill for a household is between $54 and $82 dollars per month, hence the inequality is given by:
54 ≤ C(x) ≤ 82.
The bounds of the range will be found as follows:
29 + 1.41x = 54
x = (54 - 29)/1.41
x = 17.7.
29 + 1.41x = 82
x = (82 - 29)/1.41
x = 37.6.
Hence the correct option is:
To stay within the range, the usage should be between 17.7 and 37.6 HCF.
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identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures. m∠acd
It should be noted that angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles
Also, the correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°
How to illustrate the information?m∠1 + m∠5 = 180°
Which gives;
(30·x - 30)° + (40·x + 70)° = 180°
(70·x + 40)° = 180°
70·x = 180° - 40° = 140°
70x = 140
x = 140/70
x = 2
m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°
m∠1 = 30°
m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°
m∠5 = 150°
The correct option is therefore same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°
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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠1=(30x−30)∘, m∠5=(40x+70)∘
Alt. Int. ∠s Thm.
m∠1 = 30°, m∠5 = 150°
Alt. Int. ∠s Thm.
m∠1 = 30°, m∠5 = 30°
Same-Side Int. ∠s Thm.
m∠1 = 30°, m∠5 = 150°
Same-Side Int. ∠s Thm.
m∠1 = 150°, m∠5 = 30°
please help quickly!!
Answer:
G(x)=-9 when x=5
Step-by-step explanation:
Replace X with 5
3x -x^2+1 becomes 3*5-5^2+1
Then solve
15-25+1=-9
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $500 and the daily rate for each partner is $1000. The law firm assigned a total of 8 lawyers to the case and was able to charge the client $6500 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: number of associates.Variable y: number of partners.The firm assigned a total of 8 lawyers to the case, hence:
x + y = 8
x = 8 - y.
The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:
500x + 1000y = 6500.
Since x = 8 - y, we have that:
500(8 - y) + 1000y = 6500.
500y = 2500
y = 5.
x = 8 - 5 = 3.
The firm assigned 3 associates and 5 partners to the case.
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dis me after 1 min in school
Answer:
What's the question?
Step-by-step explanation:
Solve the Equation (completing the square)
15 = x^2- 14x
Answer: x = -1, 15
Step-by-step explanation:
15 = x²- 14x
⇒ x²- 14x-15 = 0
⇒ x²- 15x+x-15 = 0
⇒ x (x-15) + (x-15) = 0
⇒ (x-15) (x+1) = 0
Now,
x= -1, 15
where u get the 230,000 number
Answer: 23 x 10,000
Step-by-step explanation:
23 multiplying with 10,000
you will get 230,000
Answer:
23 * 10000 or 23 * [tex]10^{4}[/tex]
Step-by-step explanation:
23 * 10000 or 23 * [tex]10^{4}[/tex]
If m ∠ A D B = ( 6 x − 4 ) ° and m ∠ B D C = ( 4 x + 24 ) ° , find the value of x such that ∠ A D C is a right angle.
Answer:
The value of x is 7°
Step-by-step explanation:
<A C D = ∠ A D B ( 6 x − 4 ) ° +∠ B D C ( 4 x +24 )
Now,
<A D B + < B D C = 90 °
( Being sum of complementary angle is 90°)
( 6 x − 4 ) + (4x + 24)= 90°
6x-4+4x+24=90°
6x+4x-4+24=90°
10x+20=90°
10x=90-20
10x=70
x=70/10
x=7
How many terms are in the expression a²-ab+8b+b²-1
Answer:
5
Step-by-step explanation:
we just have to see the units to determine the terms
the terms are, a², ab, b, b², 1 has no terms, but imagine it as [tex]x^{0}[/tex]
Mark me brainliest if it helped
Help me with this vertical angle
Answer:
Step-by-step explanation:
6x - 32 = 4x + 16
2x - 32 = 16
2x = 48
x = 24
6(24) - 32 = 144 - 32 = 112
4(24) + 16 = 96 + 16 = 112
A printing company needs to ship 70,000 team calendars to the city's basketball team. The printing company can fit 7,000 calendars in each box. How many boxes will the printing company need to use?
10 boxes will be required by the printing company
It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a unit.In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unary method.
The mathematical unit method is also used to find the ratio between two quantities.
Company can fit 7000 calendars in 1 box
7000 calendars = 1 box
1 calendar = 1/7000
70000 calendar = 1/7000 * 70000
= 10 boxes
10 boxes will be required by the printing company
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Find cos tan csc sec and cot please.
Answer:
Hi, here are the remaining values in order.
-9/41-40/941/40-41/9-9/40A piggy bank is full of dimes and quarters. The total
value of the coins is $14.05. If there are a total of 100 coins,
how many of each does she have?
Dimes
Ay Quart
Mixture
1x *+9=312905
She has 27 quarters and 73 dimes.
Write a system of equations.
Let x be the number of quarters, and y be the number of dimes.
x+y=100
0.25x+0.10y=14.05
Solve by substitution:y=100−x
∴0.25x + 0.10(100 - x) = 14.05
0.25x+10−0.10x=14.05
0.15x+10=14.05
0.15x=4.05
x=27
Solve for y now:
y+27=100
y=100−27
y=73
Hence, She has 27 quarters and 73 dimes.
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.
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Complete the proof.
Given: 8 - 3x / 4=32
Prove: x=-40
Proof:
The proof of the given algebra equation is; x = -40
How to solve algebra problems?
We are given the algebra equation as;
(8 - 3x)/4 = 32
Using multiplication property of equality, multiply both sides by 4to get;
8 - 3x = 128
Using subtraction property of equality, subtract 8 from both sides to get;
-3x = 120
Using division property of equality, divide both sides by -3 to get;
x = -40
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What is the meaning of relative to in math like, what is the location of the dolphin relative to the surface of the water?
Answer:
bhe ganyan din
akin
Step-by-step explanation:
please help us
consider the set of numbers $\{1, 10, 10^2, 10^3, \dots, 10^{10}\}$. the ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?
The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.
What is ratio?
A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).
The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.
Explanation:
The requested ratio is[tex]\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\][/tex]
Using the formula for a geometric series, we have[tex]\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\][/tex]
which is very close to [tex]$\dfrac{10^{10}}{9},$[/tex] so the ratio is very close to 9.
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Find the line's slope and a point on the line.
y+3=3/4(x-1)
point on the line:
slope:
Answer: Coordinate (1,-3) and m = 3/4
Step-by-step explanation:
(i) - So context, the equation is y + 3 = 3/4(x - 1)
If f(1)=2 and f(n)=f(n−1)+2 then find the value of)f(6).
In function , 12 is the value of)f(6).
What does a math function mean?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.f(1) = 2 and f(n) = f(n -1) + 2
f(1) = 2
f(2) = f(2 - 1) + 2 = f(1) + 2 = 2 + 2 = 4
f(3) = f(3 - 1) + 2 = f(2) + 2 = 4 + 2 = 6
f(4) = f(4 - 1) + 2 = f(3) + 2 = 6 + 2 = 8
f(5) = f(5 - 1) + 2 = f(4) + 2 = 8 + 2 = 10
f(6) = f(6 - 1) + 2 = f(5) + 2 = 10 + 2 = 12
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If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
Answer:
RS = 33
Step-by-step explanation:
from the number line
RT = RS + ST ( substitute values )
46 = RS + 13 ( subtract 13 from both sides )
33 = RS
Answer:
RS = 33
Step-by-step explanation:
Given that,
→ ST = 13
→ RT = 46
Then the value of RS will be,
→ RS + ST = RT
→ RS + 13 = 46
→ RS = 46 - 13
→ [ RS = 33 ]
Hence, the value is 33.
Why do all sequences represent functions?
Basically, a sequence is a function whose domain is set of natural numbers and co-domain is set of real numbers.
Function:
A function relates each element of a set with exactly one element of another set (possibly the same set)
Real numbers:
Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”.
Domain
Domain is the set of all possible inputs of a function.
Co - Domain:
Co - domain is the set of its possible outcomes or results.
Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position.
That's why, every sequence must be the function itself.
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Points A, B, and C are collinear. Point B is between A and C. Find the value of x. AC = 19 AB = 4x + 3 BC = 3x + 2
The value of x = 2.
Three points of collinear are A, B, and C. Here point B is between A and C.
The properties of collinear point are,
a>The slope of AB is equal to the slope of BC,
b>Line AB + BC = AC
c>The area is equal to 0.
As the three points are collinear, and from the second property we have
AB + BC= AC
Where, AB = 4x + 3
BC = 3x + 2
So we have,
(4x + 3) + (3x + 2) =19
7x + 5=19
7x = 14
x=2
Therefore we get the value of x =2.
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A rectangle that is 2 cm by 3 cm has been scaled by a factor of 5. What are the dimensions of the new rectangle? A.7 cm by 8 cm B.10 cm by 15 cm C.25 cm by 35 cm D.12 cm by 15 cm
Dimensions of new rectangle after getting scaled by factor of 5 are 10cm by 15cm. Option (B) is correct.
What is scale factor?
In two similar geometric figures the ratio of their corresponding side is scale factor let the old dimension be x and scale factor be a then new dimension will be a*x
If a>1 then their will be enlargement in the geometric figures
Given that rectangle that is 2 cm by 3 cm has been scaled by a factor of 5
It means scale factor be 5
New dimensions of given rectangle will be found by multiplying by 5
New length and breadth are 2*5=10
3*5=15
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What is the area of the rectangle whose length is 19 and the width is 31
Answer:
589
Step-by-step explanation:
to find the area of a rectangle it is length x width
19 is your length
31 is your width
19 x 31 = 589
be sure that in your final answer you put in your units (e.g.[tex]cm^{2}[/tex] )
hoped this helped xx
need help with evaluating this Expression
Answer: 102
Step-by-step explanation:
[tex]x=-2\ \ \ \ \ y=4\\\\8x^2-xy+y^2-xy^2+14=\\\\8(-2)^2-(-2)(4)+(4)^2-(-2)(4)^2+14=\\\\8(-2)(-2)-(-8)+(4)(4)-(-2)(4)(4)+14=\\\\32+8+16+32+14=\\\\102[/tex]
-18-7(-10+8)+12
explain please
Answer:
8.
Step-by-step explanation:
Using Order of operations PEMDAS.
Arithmetic operations are done in the following order:
Parentheses, Exponents, Multiply, Divide, Add, Subtract.
So, we have:
-18 - 7(-10 + 8) + 12
= -18 - 7 * -2 + 12
= -18 + 14 + 12
= -4 + 12
= 8.
a survey showed that 4 out of 5 students own a bicycle based on this result how many 800 students in a school own a bicycle
directions: Find the distance between each pair of points
(-4, 6) and (3, -7)
According to the solving the distance between two points is:
= 14.77
What is an example of a distance formula?In coordinate geometry, the distance formula is used to calculate the actual distance between two points. The formula for calculating the distance between two locations (x1,y1) (x 1, y 1) and (x2,y2) (x 2, y 2) is D=(x2x1)2+(y2y1)2 D = (x 2 x 1) 2 + (y 2 y 1) 2.
What is the name of the distance between two points?The length of a line segment seems to be the distance between two locations. Congruent segments are those with the same length. By drawing a line with a ruler, we may compute the approximate distance between two points.
According to the given data:Given points: (-4, 6) and (3, -7)
X₁ = -4
Y₁ = 6
X₂ = 3
Y₂ = -7
We know that the distance between two points:
distance = √((x₂ - x₁)²+(y₂ - y₁)²)
= √((3 - (-4))²+((-7) - 6)²)
= √((3 + 4)²+(-13)²)
= √((7)²+(-13)²)
= √((49)+(169))
= √(218)
= 14.77
According to the solving the distance between two points is:
= 14.77
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