Answer:
y = $346.90
Step-by-step explanation:
Given:
y = 1.67x + 12.90
Where,
y = total monthly cost,
x = month. If we let x represent the number of cubic feet of water (in hundreds)
If the Johnson family used 200 ft3 more water this month than last month, then they can expect
x = 200 ft³
y = 1.67x + 12.90
y = 1.67(200) + 12.90
= 334 + 12.90
= 346.90
y = $346.90
Gabriel is 12 years old, and his younger brother Elias is 2 years old.
How old will each of them be when Gabriel is twice as old as Elias?
Gabriel will be 20, Elias will be 10
We can use an equation to map out and solve for each age.
Years gone by = x
12+x=2(2+x)
12+x=4+2x
x=8
12+8=20, 2+8 =10
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 3x + 10 y is less than negative 3 over 4 times x minus 1 Part A: Clearly describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (8, 10) a solution to this system? Explain how you know
Answer:
See attached graph, and answers.
Step-by-step explanation:
The inequalities are given as;
i) y>3x+10
ii) y<-3/4x -1
Graphing the inequalities gives the following result
The solution area is that which is shaded and the lines are broken lines not complete
From the graph the solution is: { -2.9,1.2}
The point {8,10} is not a solution to the system. This is because it is not in the shaded area that represent the solution to the inequalities.
The x-intercept can be found by putting in zero for y. Find the x-intercept.
-3x + 5y 30
When a person 6 feet tall casts a shadow
10 feet long, how tall is a nearby tree
which casts a shadow of 45 feet?
Answer:
75 feet
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Proportion
6 feet man/10 feet shadow = x (tree) / 45 feet (shadow)
6/10 = x /45 Cross multiply
10x = 45*6
10x = 270
x = 270/10
x = 27
The tree is 27 feet long
During the basketball season, diane took 134 shots and made about 56% of them. a.) how many shots did diane make? b.) the team made a total of 498 shots. what precent of the teams made shots did diane make
Answer:
75 shots and 15.1%
Step-by-step explanation:
Part A Tim wants to buy three pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Answer:
The pants from the local store would be $72.00
the pants from the online store would be $85.00
the difference in price is $13.00
therefore the pants from the local store would be cheaper
Step-by-step explanation:
IM NOT SURE IF THIS ANSWERS YOUR QUESTION PLEASE CLARIFY!!!!
What is the sum of 2/7 + 2/5 ?
please help 10 points and brainlest
Answer:
2/7 + 2/5=24/35
pls help! will give brainlist!
parts of New Orleans is currently below sea level and continues to sing each year. NASA imagines shows that One part of the city is currently 6 feet (72 inches) below sea level. Each year and continues to sing two more inches. Write an expression to describe the depth of New Orleans after any given year
Answer:
depth = 6th + 2(number of years)
What is the GCF of 64, 160 and 224
Answer:
32
Step-by-step explanation:
Factorize:
64= 2x2x2x2x2x2
160= 2x2x2x2x2x5
224=2x2x2x2x2x7
If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.
Hope this helps plz hit the crown :D
The greatest common factor of 64,160, and 224 will be 32.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.
Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.
Factorize number 64.
64 = 2x2x2x2x2x2
Factorize the number 160.
160 = 2x2x2x2x2x5
Factorize the number 224.
224 = 2x2x2x2x2x7
The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.
To know more about the greatest common factor follow
https://brainly.com/question/219464
#SPJ2
Find the difference.
89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05
Lacy pays $15 for each hour of golf lessons and $10 for equipment rental. If the lesson is more than 3 hours long, she only pays $5 for equipment rental. Is the total cost of Lacy's lesson a function of the number of hours scheduled? Use a table to help explain your answer. Show your work.
Answer:
60
Step-by-step explanation:
15x3=45
5x3=15
15+45=60
Factorize completely 25x^2-90x+81
Answer:
Factor using the perfect square rule.
( 5 x + 9 ) ^2
HOPE THIS HELPS!!!
Step-by-step explanation:
OPEN PERENTHESIS FIVE X PLUS NINE CLOSED PERENTHESIS TO THE SECOND POWER
will mark brainliest to whoever can answer
Answer:
A. 7
Step-by-step explanation:
h(x)=2x + 4
2(7)=14
14+4=18
Consider the function f(x) = 8x2 + 5x – 2.
Determine the output produced by the input value x = -2.
Answer:
f(-2) = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
f(x) = 8x² + 5x - 2
x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 8(-2)² + 5(-2) - 2Exponents: f(-2) = 8(4) + 5(-2) - 2Multiply: f(-2) = 32 - 10 - 2Subtract: f(-2) = 22 - 2Subtract: f(-2) = 20Someone please help solve this!! I’ll give brainlist
Answer:
Inital height is 20
Step-by-step explanation:
h= (-5x-5)(x-4)
h= -5x^2+15x+20
What is the measure of
Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?
Answer:Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
no need
-28=-5x+7
Solve the two step equation
Answer:
x = 7
Step-by-step explanation:
-28=-5x+7
Add 28 and 5x to both sides
5x = 35
Divide both sides by 5
x = 7
Answer: x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
−28=−5x+7
Step 1: Flip the equation.
−5x+7=−28
Step 2: Subtract 7 from both sides.
−5x+7−7=−28−7
−5x=−35
Step 3: Divide both sides by -5
-5x/-5 = -35/-5
x=7
(4x + 3y)^2 please tell me the wander ✌️
Answer:
16x^2+24xy+9y^2
Step-by-step explanation:
16x^2+24xy+9y^2
The midpoint of ab is m(5-2). If the coordinates of a are (6,-5), what are the coordinates of b
Solve the system of equations by graphing:
y= 2x +8
-x+y=0
Answer:
Slope = 4.000/2.000 = 2.000
Slope = 2.000/2.000 = 1.000
Step-by-step explanation:
the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.
PLEASE HELP FAST POINTS AND BRAINLIST FOR ANSWER!
Answer:
y = 10x
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 10
y-intercept b = 0
Step 2: Write function
Plug in variables into the general form.
y = 10x + 0
y = 10x
Answer:
y = 10x
Step-by-step explanation:
Equation of a line: y = mx + b
y = 10x + 0 is also y = 10x
3÷4 is 34. What is 14 of 3?
a.3/4
b.13 of 4
c.43
d.1 1/4
Answer
well i know that the accual answer would be 466.6.
Step-by-step explanation:
Consider these functions:
f(x) = 2x3 + 3
g(x) = x – 4
What is the value of g(f(x))?
Answer:
2x^3+3-4
Step-by-step explanation:
Answer:
2x^3 - 1
Step-by-step explanation:
Plato/Edmentum
(6x^3-x^4+7)+(7x^4-3+2x^2
Answer:
6x⁴ + 6x³ + 2x² + 4
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(6x³ - x⁴ + 7) + (7x⁴ - 3 + 2x²)
Step 2: Simplify
Combine like terms (x⁴): 6x⁴ + 6x³ + 2x² + 7 - 3Combine like terms (Z): 6x⁴ + 6x³ + 2x² + 4Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19
1) Given that the measure of Angle 2 = 115 degrees and the measure of Angle 8 = 115 degrees, is line m parallel to line p?
Answer:
YES
Step-by-step explanation:
When a transversal cuts two parallel lines, the alternate interior angles are congruent. So, for two lines to be parallel, their alternate interior angles has to be equal.
Angle 2 and angle 8 are alternate interior angles. They both measure 115°. Since these alternate interior angles are congruent, therefore, line m is parallel to line p.
In Landon's math class, there are 12 boys and 15 girls. Which of the following is the ratio of boys to girls in Landon's math class?
Answer: 9/4
Step-by-step explanation:
12/(12+15) = 12/27 = 9/4
Noah bought a computer cartridge for $28.50. Sales tax on the
cartridge was 6.5%. What was the total amount that Noah paid for the
cartridge? ( I need this answer ASAP)
Total = purchase price x ( 1 + sales tax )
Total = 28.50 x 1.065
Total = $30.35
What is the reason for step 3 in the two column proof below
1. ZPQR is a right angle
1. Given
2. MZPQR = 90°
2. Definition of Right Angle
3. m_PQS + MZSQR = m_PQR
3. ?
4. MZPQS + m_SQR = 90°
4. Substitution Property of Equality
5. ZPQS and 2SQR are complementary 5. Definition of Complementary Angles
Definition of Congruent Angles
Vertical Angles Congruence Theorem
Angle Addition Postulate
Definition of Angle Bisector
Answer:
The correct option is;
Angle Addition Postulate;
Step-by-step explanation:
The given two column proof can be presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠PQR is a right angle [tex]{}[/tex] Given
2. m∠PQR = 90° [tex]{}[/tex] Definition of Right Angle
3. m∠PQS + m∠SQR = m∠PQR [tex]{}[/tex] Angle Addition Postulate
4. m∠PQS + m∠SQR = 90° [tex]{}[/tex] Substitution property of equality
5. ∠PQS and ∠SQR are complementary Definition of complementary angles
Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;
m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;
m∠PQR = m∠PQS + m∠SQR = 90°.