Answer:
x =-3.5
Step-by-step explanation:
0.4x+3=0.2(3x+1)−x
Distribute
.4x +3 = .6x+.2 -x
Combine like tersm
.4x+3 = -.4x+.2
Add .4x to each side
.4x+3 +.4x = -.4x +.2 +.4x
.8x +3 =.2
Subtract 3 from each side
.8x+3-3 = .2-3
.8x = -2.8
Divide each side by .8
.8x/.8 = -2.8 /.8
x =-3.5
Answer:
x=-3.5
Step-by-step explanation:
what is the expression equivalent to 5(6+4)
Answer:
2(15+10)
Step-by-step explanation:
when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?
Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.
Greatest number of cups of yogurt Monica can buy is equals to 14cups.
What is Linear inequality?
" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."
According to the question,
Given,
Total amount with Monica = $20
Cost of a gallon on milk = $2.50
Cost of 1cup of yogurt = $1.20
Given linear inequality
1.20x + 2.5 ≤ 20
x represents the number of cups of yogurt
Solve linear inequality to get the value of x we have,
1.20x+2.5 -2.5 ≤ 20-2.5
⇒1.20x ≤ 17.5
⇒x ≤ 17.5 / 1.20
⇒x ≤ 14.58
14 ≤ 14.58 ≤ 15
Therefore, 14 of cups of yogurt Monica can buy.
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Figure STOP is reflected about the y-axis to obtain figure STO′P: A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5. Which statement best describes the relationship between the two figures? (4 points) The measure of angle S is equal to the measure of angle P′. The measure of angle P is equal to the measure of angle T′. Figure STOP is congruent to figure S′T′O′P′.
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
I just took the test
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
Just finished test and got 100%
A line passing through the points (6,-2) and (-2,4). Complete the work shown
Answer:
2.5
Step-by-step explanation:
Twelve more than x is greater than fourteen
Answer:
x > 2
Step-by-step explanation:
12 + x > 14
x > 14 - 12
x > 2
PLEASE HELP A cylinder with radius 6 feet and height 6 feet has its radius doubled. How many times greater is the volume of the larger cylinder than the smaller cylinder? How many times greater is the volume of the larger cylinder than the smaller cylinder?
Answer:
16 Times Greater
Step-by-step explanation:
Smaller cylinder:
radius = 6 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)6^2(8)
radius = 24 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)24^2(8)
.
[(3.14)6^2(8)] / [(3.14)24^2(8)]
[6^2(8)] / [24^2(8)]
[6^2] / [24^2]
[36] / [576]
16 times greater
Answer:
Step-by-step explanation:
Smaller cylinder:
h = 6 ft
r = 6 ft
Volume of smaller cylinder = πr²h
= π * 6 * 6 * 6 cubic ft
Bigger cylinder:
r = 6 * 2 = 12 ft
h = 6 ft
Volume of bigger cylinder = π * 12 * 12 * 6 cubic ft
Volume of bigger cylinder = π * 12 * 12 * 6
Volume of smaller cylinder π * 6 * 6 * 6
= [tex]\frac{2 * 2}{1*1}\\[/tex]
= 4 : 1
The volume of greater cylinder is 4 times than the smaller cylinder.
Please help would be very very appreciated
Answer:
115
Step-by-step explanation:
I hoped I help friend◇
Which of the following fractions have the same value as 16+(-3)? Check all that apply.
16
-3
I FIF
-16
3
16
3
16
3
16
Answer:
I think 1st option is ✔️ correct
Answer:
ACE
Step-by-step explanation:
Find the next two terms of the sequence 1,5,14,30,50,...
Answer:
If the number were 55, then the next number is 72
Step-by-step explanation:
I think you wrote the number wrong?
Find the decimal that is equivalent to: 3/11
A: .27
B:0.3
C: 3.6
D: 0.27
Answer:
D
Step-by-step explanation:
andrea is three times older than eliza. suzie is 4 years older then eliza. if eliza's age can be represented by x, create an expression that represents the combined age of all three girls
Answer:
Combined age = 5x+4 years
Step-by-step explanation:
let Eliza's age be x
given that Andrea is three times older than Eliza, hence Andrea's age is
= 3x years
it is also given that Suzie is 4 years older than eliza, hence Suzie's age is
= (x + 4) years
Therefore the combined age
= Eliza's age + Andrea's age + Suzie's age
= x + 3x + (x+4)
= x + 3x + x + 4
= 5x + 4
Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity
Answer:
1= 6x2
2= -6b3
Step-by-step explanation:
The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given first equation,
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8
-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8
-4x² + 14x + 8 + ? = 2x ²+ 14x + 8
? = 2x ²+ 14x + 8 + 4x² - 14x - 8
? = 6x²
In the second equation,
(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17
(-b³ + 3b² + 8) - (5b³ + 8b² + 17) = (? - 562 - 9)
? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571
? = -6b³ - 5b² + 562
Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".
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What are the coordinates of r
What is the nth term of this number sequence 25, 20, 15, 10, 5
Please answer it
Answer:
[tex]a_{n}[/tex] = 30 - 5n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
20 - 25 = 15 - 20 = 15 - 20 = 10 - 15 = 5 - 10 = - 5
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 25 and d = - 5, thus
[tex]a_{n}[/tex] = 25 - 5(n - 1)
= 25 - 5n + 5
= 30 - 5n
How many at-bats did the player have?
Answer:
450
Step-by-step explanation:
17 full balls + (1/2+1/2)=1
18*25=450
Answer:
450 at - bats
Step-by-step explanation:
Home run = 50
Triples = 37.5
Doubles = 75
Singles = 125
walks = 62.5
Outs = 100
Total = 450
hopefully this helps you :)
Pls mark me brainlest ;)
which is right??????
Answer:
Point D
Step-by-step explanation:
To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the triangle is translated 3 units right and 4 units up?
Answer:
P’(-1, 1), I’ (1, 2), G’(1,0)
Step-by-step explanation:
17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) = 12 + 2(n + 1) C) f(n) = 2 + 12(n + 1) D) f(n) = 2 + 12(n − 1)
Answer:
A) f(n) = 12 + 2(n-1)
Step-by-step explanation:
Arithmetic Sequence Formula:
a(n) = a(1) + (n-1)d
d = 2
a(1) = 12
a(n) = 12 + 2(n-1)
Answer:
Step-by-step explanation:
A) f(n) = 12 + 2(n-1)
Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200
Answer:
- 250
Step-by-step explanation:
Pick two points along the line of the graph
(4,7000) and (8,6000)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (6000-7000)/(8-4)
-1000/4
- 250
Answer:
-250
Step-by-step explanation:
Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough colories to lose 4 pounds per week, then how many weeks will poss before Mr. Andrews weighs 228 pounds? Variable: bit bin Solutions
Answer:
6.5
Step-by-step explanation:
it will take Me. andrews 6.5 weeks to get to 228 pounds
If (7^ 0)=1what are the possible values of x
Answer: I would say that any number
Step-by-step explanation:
I think so because any number to the 0 power is going to be 1.
For example: 6^0=1 21^0=1
Hope it helped!! ;)
Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)
Step-by-step explanation:
(f o g)(x)
= f(g(x))
= f(2x - 3)
= |2x - 3|
Question 8
Solve the equation.
1/3x + 205
Your answer:
A.-9
B.13
C.9
Answer: none of thoses
Step-by-step explanation:
Ms. Terry's class is hosting a fundraising
challenge. The students in her class are
divided into 4 teams. Each team has an
equal number of students. Do you have
enough information to find how many
students are on each team? Explain.
In being able to find out whether it is possible to know the number of students on each team, there simply isn't enough information to do so.
In order to find out the number of students on each team, the following formula is necessary:
= Number of students in general / Number of teams
The number of teams is 4 so the denominator is present.
We however, do not have the number of students in general so we are unable to find out the number of students in each team.
In conclusion, we do not have enough information to find out the number of students in each team.
Find out more at https://brainly.com/question/15459630.
Solve 5x - 4< 2x + 5. Enter your answer as an inequality.
Answer:
x < 3
Step-by-step explanation:
5x - 4 < 2x + 5
Subtract 2x from both sides
5x - 4 - 2x < 2x + 5 - 2x
5x - 2x - 4 < 2x - 2x + 5
3x - 4 < 0 + 5
3x - 4 < 5
Add 4 to both sides
3x - 4 + 4 < 5 + 4
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
its a image, i attached here.
Answer:
Step-by-step explanation:
First expression
54+11 =65
second expression
7x+13x= 20x
Third expression
(7x+54)+(13x+11)
7x+54+13x+11
(7x+13x)+(54+11)
20x+65
Fourth expression
In your own opinion, how does the problem in the middle relate to the problems on the side?
from the above first two expression
first value of each expression was combined to make 7x+54
second value of each expression was combined to make 13x+11
Solve the following (x+y+z)(x-z)^2
Hey there!
ANSWER: [tex]x^2y-2xyz+yz^2+x^3-x^2z-xz^2+z^3[/tex]EXPLANATION:[tex](x+y+z)(x-z)^2[/tex]
Simplify.
[tex]x^2y-2xyz+yz^2+x^3-x^2z-xz^2+z^3(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Step-by-step explanation:
x³+yx²+zx²-2x²z-2xzy-2xz²+x²z-z²y+z³
The tree in Juan's backyard is 7.7 m high. How high is it in centimeters?
Answer:
770 cm :)
Step-by-step explanation:
1m is 100cm so just multiply 7.7 by 100
The tree in Juan's backyard is 7.7 m high.
To Find:How high is it in cm.
Conversion:1 m = 100 cm
7 m = 7 × 100 = 700 cm
Solution:7.7 m = ( 700 + 70 ) cm = 770 cm
Answer:770 cm
Therefore, it is 770 cm high.
I need help on this assignment
Answer:
11. X'( 1 , 6 )
12. Y'( 5 , 1 )
13. Z'( 6 , 4 )
14. X"( -1 , -6 )
15. Y"( -5 , -1 )
16. Z"( -6 , -4 )
Only had time for the coordinates-!
If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)
Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
The cost of building the new road is $4,160,000.
Calculation of the cost of building:here we determine the length by using the Pythagorean Theorem.
So,
[tex]c^2 = a^2 + b^2[/tex]
Here
c is the longest leg
And, a and b are the 2 other legs of the ∆.
Now
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
So,
[tex]c^2 = 24^2 + 10^2[/tex]
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Now the cost should be
= 160,000(26)
= $4,160,000
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