Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7
help please! will mark brainliest!
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile
Answer:
D
Step-by-step explanation:
If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.
Given h (x) = 2x + 5, solve for x when h (x) = 3
Step-by-step explanation:
h(x)=2x+5
3=2x+5
3-5=2x
-2=2x
x= -2
2
x= -1
hope it help u
The value of x when h (x) = 3 would be -1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given a function of x as;
h(x)=2x+5
We need to find the value of x when h (x) = 3
Thus,h(x)=2x+5
Plug the value;
3=2x+5
Remove 5;
3-5=2x
-2=2x
So, x = -2 /2
x= -1
Hence, the value of x when h (x) = 3 would be -1.
Learn more about equations here;
https://brainly.com/question/25180086
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HELP FAST !!!
Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8
-56x + 49y= -14
- 56x + 56y=64
105y=50
y=0.48
-8x+7(0.48)=-2
-8x+3.36=-2
-8x=-5.36
x=0.67
Answer:
(x, y) = (9, 10)
Step-by-step explanation:
-8x + 7y = -2...... (1)
- 8x + 8y = 8......(2)
Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:
-64x + 56y = - 16...(3)
-56x + 56y = 56.....(4)
Subtracting equation (4) from equation (3), we find:
-64x + 56y = - 16
-56x + 56y = 56
+ - -
_____________
- 8x = - 72
x = - 72/-8
x = 9
Substituting x = 9 in equation (1), we find:
-8(9) +7y = - 2
-72 +7y = - 2
7y = 72 - 2
7y = 70
y = 70/7
y = 10
(x, y) = (9, 10)
A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.
I am really stuck on this problem
Answer:
1. ∠1 = 60
2. ∠2 = 40
3. ∠3 = 80
4. ∠4 = 80
5. ∠5 = 60
6. ∠6 = 120
7. ∠7 = 100
8. ∠8 = 60
9. ∠9 = 120
10. ∠10 = 100
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?
Answer:70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
Find in slope standard form 3х – 5y = 10
Answer:-5y=-3x+10
Divide all by -5
Y= 3/5x+10/-5
Negative divide by negative is positive--3/-5= 3/5
Slope is 3/5 y intercept is -2
Step-by-step explanation:
Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...
a
–2,916
b
972
c
8,748
d
–2,920
Answer:
a
Step-by-step explanation:
a=-4 r=12/-4=-3
T7= ar^n-1
= (-4)(-3)^7-1
=-2916
The first term of this geometric sequence is equal to: A. -2916.
How to calculate the 7th term of a geometric sequence?Mathematically, a geometric sequence is given by this expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.Based on the geometric sequence, the first term is equal to -4. Also, the common ratio is given by:
r = 12/-4
r = -3.
For the 7th term, we have:
a₇ = -4 × (-3)⁷⁻¹
a₇ = -4 × (-3)⁶
a₇ = -4 × 729
a₇ = -2916.
Read more on geometric sequence here: brainly.com/question/12630565
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Hey ppl!^-^ Can you help me with this stupid problem (◔_◔)
5^2 x 5^(-5)= ??????
Answer and Step-by-step explanation:
[tex]5^{2} * 5^{-5} \\[/tex] is [tex]\frac{1}{125}[/tex]
This is because 5 times 5 is 25.
5 to the negative 5th is 1/3125.
Multiply these together and you get 1/125.
#teamtrees #WAP (Water And Plant)
Answer:
25×1/3125=0.008
Step-by-step explanation:
1. ...using indices law of negativity it will turn to 1 over 5 raise to 5
Branliest to right answer
Answer:
the second one
Step-by-step explanation:
I need this done like rn so please help!
Answer:
No, because the number in 2011 multiplied by three is less than the number in 2015.
Step-by-step explanation:
i dunno just makes sense
Answer:
I think that it did not because 555*3 is not 900 so it can't equal it.
Step-by-step explanation:
1,682inches rounded to the nearest hundredth is 1,68?
,
Answer:
correct its 1.68
Step-by-step explanation:
Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
-1 1/2 minus positive 3 1/2--5/8 equals what
Answer:
[tex]2\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]-1\frac{1}{2} - ( -3\frac{1}{2} ) - \frac{-5}{8} = 2\frac{5}{8}[/tex]
(3 X 10^2) (3 X 10^3)
Answer pls
Answer:
900000
Step-by-step explanation:
= (3 x 10 ^ 2) (3 x 10 ^ 3)
= (3 x 100) (3 x 1000)
= (300) (3000)
= 900000
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?
An amount of money that is deposited or borrowed that earns or is charged interest is called a what?
Answer:
the principal
Step-by-step explanation:
you purcharse 3 items for 4.23 about how much did you spend ?
Answer:
$12.69
Step-by-step explanation:
3 times 4.23=12.96
Answer:
$12.69
Step-by-step explanation:
you would multiply 4.23 by 3
hope this helps
Plz I need this ASAP
Answer:
12
Step-by-step explanation:
1/3( 4×3)+8
1/3(12)+8
4+8
12
Answer:
b
Step-by-step explanation:
Find the opposite of each integer 0
Answer:
Thats not a full question.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2
Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the lineLet us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
Pls with right answer
Answer:
$2,000
Step-by-step explanation:
They already raised
$5358
$2834
$4132
Total: $12,324
They need $14,000
-$12,324 =$1,676 is how much more they need
$2,000 more.....round 1676 to 2000
it is urgent.so anyone solve this
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
Find the area of the shape shown below plsss hurry I only have limited time
Answer: 32
Step-by-step explanation: so we can start by finding the two small ones at the bottom. so 2 times 2 is 4/2 is 2, 2 times 6 is 12/2 is 6. then we have a square in the middle that is 2 times 2 is 4. then to find the rest, we can add the 2, the 6, and because we know the bottom middle shape is a square, another two, so we end up with a line of 10 unites. then we can do 4 times 10 is 40/2 is 20. then we add all of our answers. so 20 plus 2 plus 4 plus 6 which is 32.
Answer:
32
Step-by-step explanation:
4*10 = 40/2 = 20
2*2 = 4/2= 2
2*2=4
6*2 = 12/2= 6
20+2+4+6 = 32
569,820 divide by 4
569,820 divide by 5
569,820 divide by 10
569,820 divide by 6
569,820 divide by 9
569,820 divide by 3
569,820 divide by 2
and when your done just tell me which one has no remainders (If u tell me the remainders, u get 1 bonus point and that equals........18 POINTS!!)
Answer:
569820/4=142455
569820/5=113964
569820/10=56982
569820/6=94970
569820/9=63313.33333333333333 (remainder)
569820/3=189940
569820/2=284910
Step-by-step explanation:
2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle.
Answer:
The length = x = 15 unitsThe width = x-5 = 10 unitsStep-by-step explanation:
Let 'x' be the length of a rectangle
As the width of a rectangle is 5 units less than the length.
so
width of rectangle will be = w = x - 5 units
Area = 150 square units
Using the formula
Area = length × width
[tex]150=\left(x\right)\left(x-5\right)[/tex]
[tex]150=x^2-5x[/tex]
[tex]x^2-5x=150[/tex]
Subtract 50 from both sides
[tex]x^2-5x-150=150-150[/tex]
[tex]x^2-5x-150=0[/tex]
[tex]\left(x+10\right)\left(x-15\right)=0[/tex]
if
[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]
[tex]x=-10,\:x=15[/tex]
As length can not be negative. so
x = 15 units
Hence,
The length = x = 15 units
The width = x-5 = 15-5 = 10 units
5*Please answer this correctly very urgent!
Answer:
1 3/15 - 5/15
Step-by-step explanation:
Hope this helps. PS the / sign is supposed to be for the fraction.
Step-by-step explanation:
1 1/5 - 1/3 = 0.86
Hope I helped. The only way I know how to dot this is in decimal form sorry.