What expression is equivalent to (13x - 4) - ( 20x - 15)
Answer:
[tex](13x - 4) - ( 20x - 15) \\ = 13x - 4 - 20x + 15 \\ = 11 - 7x[/tex]
The expression -7x + 11 is equivalent to (13x - 4) - ( 20x - 15) option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
= (13x - 4) - ( 20x - 15)
Using the distributive property:
= 13x - 4 - 20x + 15
= -7x + 11
Thus, the expression -7x + 11 is equivalent to (13x - 4) - ( 20x - 15) option (A) is correct.
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What is 1+1 someone help me not really i need world history answers
Answer:
2
Step-by-step explanation:
Answer:
Its 2....
Step-by-step explanation:
1 by itself equals 1...so adding them both makes their value bigger making the number 2.
I NEED HELP PLEASE!!!!!!!!
In a recipe, for every 1/3 cup sugar, 3/4 cup flour is needed. How many cups of sugar are needed for 1 cup of flour? Write your answers in the blanks.
[tex] \frac{4}{9} [/tex]
The required solution for all the blanks is: 1/3,3/4,4/3 and 4/9 as defined by "Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division."
What is arithmetic operation?A branch of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations like addition, subtraction, multiplication, and division are included. The arithmetic operator is used to carry out mathematical operations on the given operands, including addition, subtraction, multiplication, division, and modulus. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc. These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).
Here,
For first blank=1/3
second blank=3/4
third blank=4/3
fourth blank=4/9
The required solution to the blanks are: 1/3,3/4,4/3 and 4/9 as defined by "Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.".
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Select the best estimate of the product of 52 x 89
A 4,500
B 5,000
C 5,500
D 6,000
Answer:
The answer would actully would be 4,500 Aka A!
Step-by-step explanation: BTW: I did do this test :)
what is the quotient of 2/3 divided into 1/5?
Answer:
10/3
Step-by-step explanation:
The quotient of 2/3 divided into 1/5 is 10/3 after using the concept of the arithmetic operation.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
2/3 divided into 1/5
Mathematically, we can write as:
= (2/3) ÷ (1/5)
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
= (2/3)/(1/5)
= (2×5)/(3×1)
= 10/3
Thus, the quotient of 2/3 divided into 1/5 is 10/3 after using the concept of the arithmetic operation.
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Bullco blends silicon and nitrogen to produce two types of fertilizers. Fertilizer 1 must be at least 40% nitrogen and sells for $70 per pound. Fertilizer 2 must be at least 70% silicon and sells for $40 per pound. Bullco can purchase up to 80 pounds of nitrogen at $15 per pound and up to 100 pounds of silicon at $10 per pound. Assuming all fertilizer products can be sold, formulate and solve an LP to help Bullco maximize profits.
Answer:
Maximize
z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )
Subject to the constraints
Xs1 + Xs2 ≤ 100
Xn1 + Xn2 ≤ 80
Xn1 ≥ 0.4 ( Xs1 + Xn1 )
Xs2 ≥ 0.7 ( Xs2 + Xn2 )
All Variables ≥ 0
Step-by-step explanation:
Firstly lets consider Xs1 and Xs2 to be the number of pounds of silicon used in fertilizer1 and fertilizer2 respectively
Also let Xn1 and Xn2 be the number of pounds of nitrogen used in fertilizer1 and fertilizer2 respectively
We know that the objective is to maximize the profits of Bullco.
z = [(Selling price of fertilizer1) (Amount of silicon and nitrogen used to produce fertilizer1) + (Selling price of fertilizer2) (Amount of silicon and nitrogen used to produce fertilizer2) - (Cost of silicon) (Amount of silicon used to produce fertilizer I and 2) - (Cost of nitrogen) (Amount of nitrogen used to produce fertilizer I and 2)]
so
z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )
Now
Constraint 1; At most, 100 lb of silicon can be purchased
Amount of silicon used to produce fertilizer 1 and 2 ≤ 100
Xs1 + Xs2 ≤ 100
Constraint 2; At most, 80 lb of nitrogen can be purchased
Amount of nitrogen used to produce fertilizer 1 and 2 ≤ 80
Xn1 + Xn2 ≤ 80
Constraint 3; Fertilizer 1 must be at least 40% of nitrogen
Amount of nitrogen used to produce fertilizer 1 ≥ 40% (fertilizer 1)
Xn1 ≥ 0.4 ( Xs1 + Xn1 )
Constraint 4; Fertilizer 2 must be at least 70% of silicon
Amount of silicon used to produce fertilizer 2 ≥ 70% (fertilizer 2)
Xs2 ≥ 0.7 ( Xs2 + Xn2 )
so the formulization of the given linear program is,
Maximize
z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )
Subject to the constraints
Xs1 + Xs2 ≤ 100
Xn1 + Xn2 ≤ 80
Xn1 ≥ 0.4 ( Xs1 + Xn1 )
Xs2 ≥ 0.7 ( Xs2 + Xn2 )
All Variables ≥ 0
What are the acceptable diameters for the golf balls? 42.675 mm 42.6668 mm 42.664 mm 42.673 mm 72.676 mm
Answer: 42.6668mm and 42.673mm
Step-by-step explanation:
The acceptable diameters for the golf balls are 42.675 mm, 42.673 mm.
What is a Diameter?A diameter is the chord of a circular object, a circle or a sphere which is the distance between two points on the circumference of the object, the distance is calculated by drawing a line passing through the center of the object.
The golf ball is in the shape of a sphere
The internationally accepted diameter for a golf ball is 1.68 inches
which is approximately equal to 42.67 mm
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Solve this equation 5x–4=3x+18.
Answer:
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
5x−4−3x=3x+18−3x
2x−4=18
Step 2: Add 4 to both sides.
2x−4+4=18+4
2x=22
Step 3: Divide both sides by 2
2x/2= 22/2
x= 11
Solve.
2x - 1 = 7
0)
A)
X = 2
B)
X = 3
C)
X=4
D)
X = 5
Answer:
x = 4
Step-by-step explanation:
Add 1 to 7 to get 8. Divide 8 by 2 to get 4. The answer is then x = 4
A rectangle has a length of 3x + 5 and a width of 2x. The
perimeter is 60 inches. What is the value of x?
Answer:
Hi there
Your answer is
x is equal to 5
Step-by-step explanation:
L=3x+5
W=2x
P=60
Perimeter formula
W+W+L+L=P
Plug in values
2x+2x+(3x+5)+(3x+5)=60
10x+10=60
-10
10x=50
/10
x=5
Question Progress
Homework Progress
97
The ratio 60:48 in its simplest form is
What is the equivalent fraction for "2 ones 5 hundredths'?"
Answer:
2.05
Step-by-step explanation:
2.05
_____________| | |__________
ones | hundredths
tenths
Suppose the graph of a polynomial function P(x) has an x-intercept at (c,0) . Write 4-6 sentences analyzing whether (c,0) is also an x-intercept of the graphs that result from applying single transformations to P(x) . For each transformation, elaborate on whether (c,0) is always, sometimes, or never an x-intercept of the transformed graph, explaining your reasoning. For any transformations for which (c,0) is only sometimes an x-intercept of the transformed graph, design specific functions to illustrate how the other x-intercepts of the original graph determine whether (c,0) is an x-intercept of the transformed graph.
Answer:
X=Y P(x)-Y=x
(C,0)×X=X
(C,0)=X
the sum of two numbers is 526, and their difference is 176. find the two numbers
Answer:
Step-by-step explanation:
We can write the information as equations. We will use variables x and y to find the two numbers
Equation 1: The sum of two numbers is 526
x + y = 526
Equation 2: The difference is 176
x - y = 176
With two variables and two equations, we can first find one variable by elimination:
(See image)
and then substitute y into either equation to find x:
(See image)
6-^12×6^8×6^0 = what and how do I solve this problem
Input 1 26
output 3 4 8
What is the answeres
HELP PLEASEEEE HELP HELP HELP
Answer:
P
Step-by-step explanation:
divide y by x:
Column A: 1/4
Column B: 3/12
Column C: 4/16
Column D: 6/24
In all cases, these fractions can be simplified to 1/4. Therefore, there is proportionality.
Answer:
A= 4/1 = 4
B= 12/3 = 4
C= 16/4 = 4
D= 24/6 = 4
hope this helps
What is the difference between scientific notation and standard form?
Answer:
A rocket ship is travelling at an average speed of 1.75 × 104 miles per hour. How many miles will the rocket ship travel in 1.2 × 102 hours?
1. Write the expression: (1.75 × 104)(1.2 × 102)
2. Rearrange the expression: (1.75 × 1.2)(104 × 102)
3. Multiply the coefficients: (2.1)(104 × 102)
4. Apply the product of powers: 2.1 × 10y
The rocket ship will travel 2.1 × 10y miles. What is the value of y in the solution?
y =
Step-by-step explanation:
6
How much interest would you earn on a $5,000 investment after 4 years at 3%
APR?
9514 1404 393
Answer:
$600
Step-by-step explanation:
Put the give numbers into the interest formula and do the arithmetic.
I = Prt . . . . . interest on principal P at rate r for time t
I = $5000×0.03×4 = $600
You would earn $600 interest.
The line segments are translated 2 units to the right to form E'F' and G'H'. Which statement describes E'F' and G'H'?
Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.
Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E'F' and G'H' intersect at (0, −2) and are two times closer together than EF and GH.
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Answer:
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a final location. Types of transformation are reflection, rotation, translation and dilation. Translation is a rigid transformation that is it preserves shape, size and angle.
The locations of the point are E(-1, 2) , F(3,2), G(-1, 1), H(3,1). If a translation is done 2 units to the right (i.e. x + 2, y), the new location of the points is:
E'(1, 2), F'(5,2) G'(1,1), H'(5,1). Hence line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Armando walks around the trail in his neighborhood 4 times. One trip
around the trail is 0.28 mile. How many total miles does Armando walk?
Write an equation and create a model using base-10 blocks to represent
the problem.
I
Equation:
Answer:
1.12
Step-by-step explanation:
.25*4 is 1, then factor in the 0.03 remaining. 0.03*4=0.12 and 1+0.12 is 1.12
Which is the set of odd numbers between zero and ten?
A{1, 3, 5, 7, 9}
B all real numbers
C {2, 4, 6, 8, 10}
D null set
Answer:
A
Step-by-step explanation:
because I'm a smart motherf##
What is the greatest common factor of 21,24,27
Answer:
3
Step-by-step explanation:
3 x 7 = 21
3 x 8 = 24
3 x 9 = 27
Hope this helps :)
Paul makes $11.75 an hour at his job.
This week, he worked 20 hours.
Answer:
235
Step-by-step explanation:
11.75 x 20 = 235
Type the answer in standard form below.
2,000,000+600,000+
30+8
Answer:
2,600,038
Step-by-step explanation:
please help and don't guess please. will give brainliest !
The answer you are looking for is C
two angles are complementary. The larger angle is 6 more than five times the other. How large is the smaller angle?
Answer:
14 degrees
Step-by-step explanation:
Complementary angles means they add up to 90 degrees.
If the smaller angle times 5 plus 6 equals the bigger angle, then:
14 x 5 = 70
70 + 6 = 76
76 + 14 = 90
The measurements of the angles are 76 degrees and 14 degrees because the sum of the two complementary angles is up to 90 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
Let x and y be the numbers:
From the definition of the complementary numbers:
x + y = 90
x = 6 + 5y
The above represents two linear equations in two variables solved by the substitution method:
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
6 + 5y + y = 90
6y = 90 - 6
6y = 84
y = 84/6
y = 14 degrees
The measure of the other angle x = 90 - 14 = 76 degrees
Thus, the measure of the angles is 76 degrees and 14 degrees because the sum of the two complementary angles is up to 90 degrees.
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Round to the nearest 10.
18 eggs
eggs
34p
p
55 cm
cm
A junk drawer at home contains five pens, two of which work . What is the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer:
The probability is [tex]P(k) = \frac{4}{25}[/tex]
Step-by-step explanation:
From the question we are told that
The number of pens from the drawer is n = 5
The number of pens that doesn't work is k = 2
The probability that a does not work is
[tex]p = \frac{k}{n}[/tex]
=> [tex]p = \frac{2}{5}[/tex]
The probability that a pen works is
[tex]q = 1- p[/tex]
[tex]q = 1- \frac{2}{5}[/tex]
=> [tex]q = \frac{3}{5}[/tex]
Generally the probability that ending up with a pen that doesn't work is mathematically represented as
[tex]P(k) = p^2[/tex]
=> [tex]P(k) = [\frac{2}{5} ]^2[/tex]
=> [tex]P(k) = \frac{4}{25}[/tex]
The probability that you randomly grab two pens from the drawer and don’t end up with a pen that works is [tex]\dfrac{4}{25}[/tex].
Given information:
The number of pens in the drawer is [tex]n=5[/tex].
The number of pens that doesn't work is [tex]a=2[/tex].
So, the number of pens which works will be, [tex]b=5-2=3[/tex].
The probability of grabbing a pen that doesn't work will be,
[tex]P_a=\dfrac{2}{5}[/tex]
Now, two pens are grabbed randomly from the drawer. So, the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works will be calculated as,
[tex]P=(P_a)^2\\P=\dfrac{2}{5}\times \dfrac{2}{5}\\P=\dfrac{4}{5}[/tex]
Therefore, the value of the required probability will be [tex]\dfrac{4}{5}[/tex].
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A resturant sells 10 tacos for 8.49,or 6 of the same kind of taco for 5.40.Which is a better deal
Which is the better deal? Explain how you know.
Answer:
10 tacos for 8.49 because 6 tacos for 5.40 it's almost a dollar for each.And the deal 10 tacos for 8.49 you pay more but it's better it's not a dollar for each it's like 84 cents for each