If x = 4 and y = 7 of the following expression: 20 + 2 ( 3 y − 4 x ) then it will gives 30.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple.
Given,
If x = 4 and y = 7 ,
the following expression: 20 + 2 ( 3 y − 4 x )
Substitue;
20 + 2 ( 3 y − 4 x )
20 + 2 ( 3(7) − 4 (4) )
20 + 2 (5)
20 + 10
30
Learn more about an expression here:
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A taxi charges an initial fee of $1.50 plus $2.00 per miles
Which equation can be used to find the total cost in dollars, y, for trip that is x miles?
The American Heart Association recommends that you consume less
than 1500 milligrams of sodium per day. Today you have already taken
in 400 milligrams of sodium. Write and solve an inequality that represents
the additional amount of sodium you can consume.
The inequality that represents the additional amount of sodium you can consume is x< 1100, where x is the additional consumption.
What is an inequality and how to solve it ?An inequality is a statement that compares two expressions we can solve an inequality by adding same number to both sides or by subtracting same number from both side. While adding or subtracting the sign of the inequality will not change .
Given that American Heart Association recommends that you consume less than 1500 milligrams of sodium per day
∴ total consumption per day < 1500 milligram
400 milligrams of sodium is already taken today and let x be the additional amount that can be consumed today
Total consumption today will be 400+ x milligrams
∴ (400+x) < 1500
Subtracting 400 from both sides
⇒ x<1500-400 = 1100
Therefore, the additional amount of sodium that can be consumed today must be less than 1100 milligrams today.
Also, Learn more about the inequalities from the link below:
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1. What are the weekly wages for 40 hours of work at an
hourly rate of $8.50?
A $34.00
B $68.00
C $340.00
D $3,400.00
Answer:
the answer is c $340.00
Step-by-step explanation:
8.50*40=340
Answer:
$340.00
Step-by-step explanation:
I calculated it
What is the absolute value of –8? Use the number line to help answer the question.
A number line going from negative 8 to positive 8. A point is at negative 8.
–16
–8
8
16
Answer:
The absolute value is 8
Step-by-step explanation:
the absolute value of a number is always going to be positive. if you have a negative number and need the absolute number, you just put the opposit of the number.
Answer:
The absolute value is 8
Write the equation of the parabola in vertex form.
vertex (4,4), point (3, -1)
Answer:
[tex]y=-5(x-4)^2+4[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola, and a is a coefficient different from zero.
The vertex is located at (4,4).
Substituting the coordinates of the vertex, the equation of the function is:
[tex]y=a(x-4)^2+4[/tex]
The value of a will be determined by using the given point (3,-1).
[tex]-1=a(3-4)^2+4[/tex]
Operating:
[tex]-1=a(1)+4[/tex]
Solving:
[tex]a=-5[/tex]
The equation of the graph is:
[tex]\boxed{y=-5(x-4)^2+4}[/tex]
A salesperson makes 18% commission on every TV sold. If the salesperson sold four TV’s at $885 each, how much commission did they make?
Answer:
They made a $531 commission.
Step-by-step explanation:
The given is:
The price of each TV is $885The commission is 18% on every TV soldThe salesperson sold 4 TV'sWe need the value of the commission
Let us find the commission of every TV, then find the total amount of all
∵ The price of each TV is $885
∵ The commission is 18 %
→ Find 18% of $885
∴ The commission on every TV = 885 × 15%
∴ The commission on every TV = 885 × 15/100
∴ The commission on every TV = $132.75
∵ The salesperson sold 4 TV
∴ The commission on them = 4 × 132.75
∴ The commission on them = $531
They made a $531 commission.
Answer: $637.20
Step-by-step explanation:
Each TV is $885
do 885 · 18% or 885 · 18/100
that is 159.3
multiply that by the amount of TVs sold (4)
159.3 · 4 = 637.2
$637.20
help asap please!!
I need the answer : 2/12 - (-3/4)
Answer:
11/12
Step-by-step explanation:
Answer:
=11/12
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Gary saved dimes and nickels at a ratio of 5:7. Then, he saved 20% more dimes and 3 times the number of nickels. If he had 540 dimes and nickels altogether in the end, how many more nickels then dimes did he have?
Answer:
Step-by-step explanation:
Gary saved dimes and nickels at a ratio of 5:7.
5/12 = Dimes
7/12 = Nickels
Then, he saved 20% more dimes and 3 times the number of nickels.
If he had 540 dimes and nickels altogether in the end, how many more nickels then dimes did he have?
Let the number of dimes = x
Let the number of nickels = y
Total number of dimes and nickels = 540
Solve the equation. Write a reason for each step
Answer:6. -6 is the answer
Step-by-step explanation:add 10 to -10 and -40 and bring down 5x since -10 and 10 cancel out you have to cross it out and have -30 from -40 +10 and now 5x=-30 you have to divide 5 on each side and that would give you -6
what’s the answer i need help
whhhhhhhhhhhhhhyyyyyyyyyyyyyyyyyyy
Answer:
[tex]3x^{2}[/tex]
HURRY PLEASE!!!
Solve the compound inequality:
3x + 1 <-5 OR 2x -5> 7
Answer:
x < -2
x > 6
Step-by-step explanation:
use a number line if u need a visual
What do you add to
5 6/7 to make 9?
Select the two expressions that are equivalent to 38 x 27.
O 35
O 311
O 324
O 38 x 33
O 311 x 27
Answer:
none
Step-by-step explanation:
i dont know, but i calculated it and none of them work, are you sure you typed it in write?
A train travels at a constant rate of 45 miles per hour.
What is the distance in miles, that the train travels in t hours?
112.5 miles.
Step-by-step explanation:
For 2.5 hours multiply 45 by 2.5= 112.5 miles. I hope this is right!
A influencer gains the same number of followers at a constant rate. Every 7 days, the influencer gains 630 followers. How many followers should the influencer gain after 25 days?
90 followers
630 followers
2500 followers
2250 followers
all whole numbers are integers. (true or false) all rational numbers are whole numbers. (t or f) there are rational numbers that are not integers. (t or f) there are whole numbers that are not integers. (t or f)
Answer:
false
Step-by-step explanation:
false
true
false
A school has 117 fifth graders. Each fifth grader walks 7 laps during recess. What is the total number of the laps the fifth graders walk?
Answer:
They walk a total amount of 819 laps.
True or False: An isosceles triangle is a triangle with no two sides the same length
Answer:
False
Step-by-step explanation:
An isosceles triangle does have at least two equal sides
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
What is 2/3 divided by 1/4
Answer:
I got 8/3...............
if (a, -12) is a point on the graph of y=x^2-7x, what is a?
If so, you can insert that y = -12 and solve for a which will equate to x.
[tex]-12=x^2-7x[/tex]
[tex]x^2-7x+12=0[/tex]
[tex](x-3)(x-4)=0\implies a_1=3,a_2=4[/tex]
So a could be 3 or 4 (has two solutions).
Hope this helps.
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Group of answer choices
Add 7 to both sides
Multiply both sides by 3
Divide both sides by 3
Subtract 7 from both sides
Zander is comparing the height and weight of his friends and family members. He'd like to create a data display to see if there is a relationship between his friends' height and weight. Below is the scatter plot he designed.
A scatter plot labeled Height and Weight is shown. The x-axis is labeled Height (in inches) and has tick marks ranging from 0 to 80, separated by increments of 10. The y-axis is labeled Weight (in pounds) and has tick marks ranging from 0 to 250, sepa
Explain, using complete sentences, whether or not this is the most appropriate format for representing this data and why. If it is not the best format, explain which format should have been used instead. (5 points)
Answer:
I believe it is a good representation because it shows the differences in the heights to the weights.
Answer:
No, I don't believe this is the most appropriate format, the scatter plot is good but the weight section is not labeled correctly, the dollar signs don't belong, they are irrelevant to weight and height. And the height section should be changed to feet instead of inches, it would just make more sense.
Find the slope and y intercept of the line. Graph the line.
-3x - 5y = 5
How might you prove your observations from question 4 about the length of a midsegment using geometric theorems? Briefly outline an approach using what you know about midpoints, parallel lines, and congruent triangles. Use the figure you created in GeoGebra to guide you.
Answer:
To prove the relationship about the length of a midsegment, I can use the properties of parallel lines and transversals. If I draw at least two midsegments, I see that they form congruent triangles within the original triangle, ∆ABC. I can prove the congruence of these triangles using triangle congruence criterion, and then use properties of congruent triangles and the Transitive Property to show that the length of the midsegment is half the length of the side it is parallel to.
Step-by-step explanation:
Answer:
To prove the relationship about the length of a midsegment, I can use the properties of parallel lines and transversals. If I draw at least two midsegments, I see that they form congruent triangles within the original triangle, ∆ABC. I can prove the congruence of these triangles using triangle congruence criterion, and then use properties of congruent triangles and the Transitive Property to show that the length of the midsegment is half the length of the side it is parallel to.
Step-by-step explanation:
PLATO
How much money would you need to deposit today at 7% annual interest
compounded semi animally to have $50,000 in the account after 6 years?*
Answer:
$33,090.
Step-by-step explanation:
The formula is A = P( 1 + r/2)^2n so we have:
50,000 = P(1 + 0.07/2)^(6*2)
50000 = P * 1.035^12
P = 50000/ 1.035^12
= $33,090 to the nearest dollar.
Find the x−and y−intercepts.
−5x − 4y = 20
The x−intercept is ____
.
The y−intercept is ____
Answer:
x-intercept(s): (−4,0)(-4,0)
y-intercept(s): (0,−5)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for xx. To find the y-intercept, substitute in 0 for x and solve for y.
HELP FAST I GIVE BRAINLIEST
The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm.
A = 9 over 2 (b + 35)
Which of the following formulas correctly solves for the other base, b?
b - the other base;
A = 9/2 ( b + 35 ) / * 2 ( we will multiply both sides of the equation by 2 )
2 A = 9 ( b + 35 )
b + 35 = 2 A / 9
b + 35 - 35 = 2 A / 9 - 35
b = (2 A / 9 ) - 35
Answer: B ) b = 2 multiplied by A over 9 - 35
Hope this helps pls give me brainliest
Answer:
B = 2 multiplied by A over 9 - 35
Step-by-step explanation:
ion know
The Li family is going hiking. The distance from their car can be found using the function d(t) = 3t + 1, where d is the miles away from their car and t is in hours that they have hiked. If d(t) = 7, what is the value of t and what does it represent?
A. t = 2, the Li family has been hiking for 2 hours
B. t = 22, the Li family has been hiking for 22 hours.
C. t = 2, the Li family is 2 miles away from their car.
D. t = 22, the Li family is 22 miles away from their car.
Answer:
A
Step-by-step explanation:
d(t)=3t+1 but d(t)=7
distance*time=3*time+1
so d(t)=7 is the same as
d(t)=3(2)+1
meaning that you hiked for 2 hours.
Which of the polygons below makes the following statement false?
All ________ have at least one line of symmetry.
rectangles
trapezoids
rhombi
squares
Answer:
trapezoids.
Step-by-step explanation:
rectangles will always have symmetry because they have 90-degree angles and can't be irregular. squares are rectangles so they also have symmetry. Rhombi by definition have two pairs of identical angles, so they must be symmetrical.
Trapezoids have angled sides, which don't have to be the same, therefore, trapezoids makes the statement false