Answer:
-6, -7, -8, -9
Step-by-step explanation:
-2x > 10
x < -5
So x can be -6, -7, -8, -9
Any number less than -5 is a solution.
The listed ones are the solutions because they satisfy the the inequality,
-2x > 10
x = -6, -2(-6) > 10 12 > 10
x = -7, -2(-7) > 10 14 > 10
x = -8, -2(-8) > 10 16 > 10
x = -9, -2(-9) > 10 18 > 10
Find the sum and difference of 147, 167 and 204, 107.
To find the sum, add the numbers together. To find the difference, subtract the smaller numbers from the larger numbers.
Explanation:To find the sum of 147, 167, 204, and 107, simply add the numbers together:
147 + 167 + 204 + 107 = 625
To find the difference, subtract the smaller numbers from the larger numbers:
204 - 147 = 57
167 - 107 = 60
Therefore, the sum is 625 and the differences are 57 and 60.
Which graph represents this equation -3x + 4y = 12
Cindy bought a new lamp for $40.00. She later saw the lamp on sale for 25% less than what she had originally paid. What was the lamp selling for the second time she saw it?
Answer: $30
Step-by-step explanation:
The lamp was selling for $30 which is 25% less than what Cindy bought.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Cindy bought a new lamp for $40.00.
She later saw the lamp on sale for 25% less than what she had originally paid.
∴ The discounted price of the lamp is 75% of the price for which Cindy bought which is,
= (75/100)×40.
= $30.00
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What is the slope of line b?
1/2
2
-2
-1/2
m=rise/run. so it is also going to the right so it is going to be positive do the rise is one and the run is two. That way m=1/2.
what is the answer?
Answer: It’s A
Step-by-step explanation:
If you reflect over the y axis your point changes
Find the area of the figure. If needed, round to the nearest tenth.
Isosceles trapezoid
7ft
6
ft
14 t
a. 63 sq.ft
b. 27 sq.ft
49 sq.ft
d. 126 sq.ft
Answer:
63 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where a and b are the parallel bases and h the perpendicular height
Here a = 7, b = 14 and h = 6, thus
A = [tex]\frac{1}{2}[/tex] × 6 × (7 + 14) = 3 × 21 = 63 ft²
Write an equation (in y-form) or the line that is parallel to y = -3x + 1 and contains (4, 2)
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal. A line parallel to[tex]y = -3x + 1[/tex], will have the same slope -3. Thus, the equation will be of the form:
[tex]y = -3x + b[/tex]
We substitute the given point and find "b":
[tex]2=-3(4)+b\\2=-12+b\\2+12=b\\b=14[/tex]
Finally, the equation is:
[tex]y = -3x + 14[/tex]
Answer:
[tex]y = -3x + 14[/tex]
Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim. Write a formula that will tell you the value of R for any value of N. Using the previous formula, write the formula that could help Jim guess Anne’s number N as soon as he is given the value of the result R
Answer:
[tex]R=5N+7[/tex]
[tex]\displaystyle N=\frac{R-7}{5}[/tex]
Step-by-step explanation:
Equations
The relation between the number thought by Ann (N) and the final result (R) can be expressed as
[tex]R=5N+7[/tex]
So if for example, Ann thought in the number N=12, then
[tex]R=5\times 12+7=67[/tex]
If we know the value of R, it's easy to find back the value of N by solving the equation
[tex]R=5N+7[/tex]
subtracting 7 on each side
[tex]R-7=5N[/tex]
Dividing by 5
[tex]\displaystyle N=\frac{R-7}{5}[/tex]
So, if Ann tells Jim that R = 52, he can guess her number is
[tex]\displaystyle N=\frac{52-7}{5}[/tex]
[tex]N=9[/tex]
The formula for r, the value Jim hears, for any given value of n (Ann's number) is: r = 5n + 7
This formula breaks down as follows:
5n: This represents Ann multiplying n by 5.
+ 7: This represents Ann adding 7 to the result of multiplying n by 5.
r: This represents the final value, which Jim hears.
Therefore, by plugging any value of n into this formula, you can calculate the value of r that Jim would hear.
A technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and a graph to show the cost for one, two, three, and four hours of home computer repair service. Is there a direct variation?
Answer:
Step-by-step explanation:
1= 75
2=100
3=125
4=150
For every extra computer repair they have to pay an extra 25$
you and four of your nine classmates received an A on your math test. what is the simplest fraction of students that scored an A on the test?
Answer:
5/9
Step-by-step explanation:
which expression is equivalent to 2(2x+1)+3x+3
Answer:
9x+6
Step-by-step explanation:
3 x 2= 6x 3 x 1= 3
6x + 3 + 3x + 3
6x + 3x = 9x
3 + 3 =6
A little girl stands on a carousel and rotates around the ride 6 times. if the distance between the little girl and the center of the carousel is 8 feet, how many feet did the little girl travel?
Answer:
301.44 feet.
Step-by-step explanation:
Given: Distance between the girl and the center of the carousel is 8 feet.
Girl stands in a carousel and rotates around the ride 6 times.
We know the radius if carousel is 8 feet.
Now, finding the circumference of carousel to find the area covered in one rotation of carousel.
Circumference= [tex]2\pi r[/tex]
⇒ Circumference= [tex]2\pi \times 8[/tex]
∴ Circumference= [tex]16\pi[/tex]
As given, carousel rotated 6 times.
Length covered in 6 rotation of carousel= [tex]6\times 16\pi[/tex]
⇒ Length covered in 6 rotation of carousel= [tex]96\pi[/tex]
Taking, π = 3.14
⇒ Length covered in 6 rotation of carousel= [tex]96\times 3.14[/tex]
∴Length covered in 6 rotation of carousel= [tex]301.44\ feet[/tex]
Hence, 301.44 feet travelled by little girl in a Carousel.
The little girl traveled approximately 301.62 feet.
To find the distance the little girl traveled on the carousel, we need to calculate the circumference of the circle and then multiply by the number of rotations.
The formula for the circumference of a circle is:
C = 2 × π × r
where r is the radius. Here, the radius r is 8 feet.
C = 2 × π × 8
C = 16π
So, the circumference is approximately 50.27 feet (since π ≈ 3.14).
Since the girl rotates around the carousel 6 times:
Total Distance = Number of Rotations × Circumference
Total Distance = 6 × 50.27
Total Distance ≈ 301.62 feet
Therefore, the little girl traveled approximately 301.62 feet.
What is the sum of 2/5 and 1/3
Answer:11/15
Step-by-step explanation:
Most common denominator is 15 multiply 2/5 by 3 and 1/3 by 5 and that’s what you get
what is (7,8.5) reflected over the y-axis
Answer:
(-7,8.5)
Step-by-step explanation:
On a reflection off the y-axis, the x value gets negated. So 7 would become -7.
Terri brought 1.74 meters of rope. Gracie brought 1.64 meters of rope. Who brought more rope
Answer: Terri brought 10 more centimeters of rope than Gracie.
Step-by-step explanation:
Simplify: Log3 27 = x can anybody help me with this?? Thank you!!
Answer:3
Step-by-step explanation:
3 ^x= 27
X=3
Round 2342 to the nearest hundred.
Answer:
2300
Step-by-step explanation:
The answer is 2300: first we need to know what we need to round the answer up to, because we need to round it up to hundred, we need to look at the number in the unit below it. So because we need it to the nearest hundred we look at the number in the tens. If the number is 0-4 we round down, if the number is between 5-9 we round up, because the number is 4 we round 2342 down to 2300. When we round down the number stays the same, if we round up we increase the number by 1. So the answer is 2300.
16. Ramiro has $21. He wants to buy a skateboard that costs $47. How much
more money does he need to have at least $47? Write an inequality that
represents the situation. Solve the inequality and graph your solution.
really need help ASAP!
Answer:
x>26
Step-by-step explanation:
Subtract 47 from 21.
Now that you have 26, that is the least amount needed because in the question it says "at least". (The inequality sign is suppose to be greater than or equal to)
Answer:
The answer is x>26
Step-by-step explanation:
to graph this inequality you would have to put an open circle on 26 and go right.
A rectangle has vertices at (0,0),(3,0) and (0,6). What is the area of the rectangle
Area of the rectangle is 18 units.
Step-by-step explanation:
The distance between the points (0,0) and (0,6) gives the length of the rectangle.The distance between the points (0,0) and (0,3) gives the width of the rectangle.Area of the rectangle = length[tex]\times[/tex]width
Substitute length = 6 units and width = 3 units.Area of the rectangle = 6[tex]\times[/tex]3 = 18 units.Plot the following points on the coordinate plane
(4 1/2, -2 1/2), (-3.5, 0.5), ( 0,-4)
Anyone have an answer this is study island Coordanate planes
Answer:
The points are plotted in the graph attached.
Step-by-step explanation:
The points are plotted in the graph attached.
Linear equations
Y=6x-3
Y=4x-1
Answer:
x = 1 y = 3
Step-by-step explanation:
6x - 3 + 3 = 4x - 1 + 3
6x - 4x = 4x - 4x + 2
2x = 2 ÷ 2
x = 1
y = 6x - 3
y = 6 (1) - 3
y = 6 - 3
y = 3
V= 512^2/3* 19683^1/3*256^1/4
Answer:
V=512^2/3* 19683^1/3*256^1/4 = 6912
Step-by-step explanation:
V= [tex](512^{\frac{2}{3} } ) \times (19683^{\frac{1}{3} } )\times (256^{\frac{1}{4} } )\\[/tex]
As
[tex]2^{9} = 512\\2^{8} = 256\\19683^{\frac{1}{3} } = 27\\[/tex]
putting values in equation
V= [tex]2^{9(^{\frac{2}{3} } )} \times 27 \times 2^{8^({\frac{1}{4}) } } \\[/tex] let it be equation 1
As
[tex]2^9^{\frac{2}{3} } = 2^6 according\,to\,exponential\,rule\\2^8^\frac{1}{4} = 2^2 according\,to\,exponential\,rule\\\\[/tex]
putting values in equation 1
[tex]V= 2^6\times 27\times 2^2[/tex]
According to exponential rule [tex]2^6 \times 2^2 = 2^8[/tex]
V=[tex]2^8 \times 27\\[/tex]
[tex]V=256\times 27\\V=6912[/tex]
So
V= 6912
Keywords: Algebra
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PLZZZZ HELP ASAP! Identify the LIKE terms and constants, if any, in the following expression: 8x - 3y + 5x - 2 *
Answer:
8x and 5x are like terms and the constant is 2 because it is by itself.
Step-by-step explanation:
Hope my answer has helped you and if not I am sorry.
What is the y-intercept of the line perpendicular to the line y = _~x+ 5 that includes the point (-3, -3)?
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
For lines to be perpendicular, their slopes have to be negative reciprocals of each other. [basically changing the sign (+/-) and flipping the fraction/or switching the numerator and the denominator]
For example:
m = 2 or [tex]\frac{2}{1}[/tex]
Perpendicular line's slope = [tex]-\frac{1}{2}[/tex]
m = [tex]-\frac{1}{4}[/tex]
Perpendicular line's slope = [tex]\frac{4}{1}[/tex] or 4
Since you know the slope of the line is:
y = -3/4x + 5
m = [tex]-\frac{3}{4}[/tex]
The perpendicular line's slope is [tex]\frac{4}{3}[/tex], so plug it into the equation
y = mx + b
[tex]y=\frac{4}{3} x+b[/tex] To find b, plug in the point (-3, -3) into the equation
[tex]-3=\frac{4}{3} (-3)+b[/tex]
-3 = -4 + b Add 4 on both sides to get "b" by itself
1 = b
The y-intercept is 1
factorise x squared - 4x
Answer:
[tex]x(x-4)[/tex]
Step-by-step explanation:
Factor [tex]x[/tex] out of [tex]x^2[/tex]
[tex]x[/tex]·[tex]x[/tex] [tex]-4x[/tex]
Factor [tex]x[/tex] out of [tex]-4x[/tex]
[tex]x[/tex]·[tex]x[/tex]+[tex]x[/tex]·[tex]-4\\[/tex]
Factor [tex]x[/tex] out of [tex]x[/tex]·[tex]x[/tex]+[tex]x[/tex]·[tex]-4\\[/tex]
[tex]x(x-4)[/tex]
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
A hybrid car can drive 53 miles in the city on l gallon of gas.
How many gallons of gas will it use to drive a total of 371 city.mil
Enter the correct answer in the box.
gallons
Answer:
7 gallons of gas
Step-by-step explanation:
because the car can drive 53 miles on 1 gallon and your trying to find the amount of gallons needed for 371 miles you would divide 371 by 53 and you get 7.
Final answer:
To find out how many gallons of gas are used to drive 371 miles in a hybrid car with a fuel economy of 53 miles per gallon, divide 371 by 53, resulting in 7 gallons of gas needed.
Explanation:
To determine how many gallons of gas a hybrid car will use to drive a total of 371 city miles when the car can drive 53 miles on 1 gallon of gas, you can set up a simple division problem. The formula to calculate gallons used is:
Total miles driven ÷ Miles per gallon = Gallons of gas used
In this case, we divide 371 miles by 53 miles per gallon to find the total gallons of gas used:
371 miles ÷ 53 miles/gallon = 7 gallons
So, the hybrid car will use 7 gallons of gas to drive 371 city miles.
Earl hates taking out the garbage and he hates washing the dishes, so he decides to make a deal
with his parents: He will flip a coin once for each chore and will perform the chore if the coin lands on
heads. What he doesn't know is that his parents are going to use a weighted coin that lands on heads
80% of the time!
Answer:
The question is incomplete. The complete question is shown below
1. What is the probability that Earl will have to do both chores?
Ans. (0.8 * 0.8 = 0.64)
2. What is the probability that Earl will have to take out the garbage but will not need to wash the dishes
Ans.( 0.8 * 0.2 = 0.16)
Step-by-step explanation:
1. The probability that Earl will have to do the chores is 0.8
Therefore the probability that Earl will have to do both chores is 0.8 * 0.8 = 0.64
2.The probability that Earl will have to take out the garbage but not need to wash the dishes
0.8 * 0.2 = 0.16
what is (-100)a×56 and thanks
What is the measure of angle b?
36 degrees
63 degrees
117 degrees
56 degrees
Answer: 36 degrees
Step-by-step explanation:
The angle a is 63 degrees because 177 and a are supplementary and equal 180 degrees. Because there are 180 degrees in a triangle, 63+ 81 is 144. 36 and 144 is 180, therefore b is equal to 36.
Hope this helped!
An exterior angle of a triangle equals the sum of its opposite interiors.
The measure of b is 36 degrees
To calculate angle b, we use the following equation
[tex]b + 81 = 117[/tex] ------- because b and 81 are opposite interior angles to 117
Solving further, we have:
[tex]b = 117 - 81[/tex]
Evaluate like terms
[tex]b = 36^o[/tex]
Hence, the measure of b is 36 degrees
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Bobby has a piece of rope measuring 4 yards. How many 1-inch strips can be cut from the rope?
Answer:
144
Step-by-step explanation:
Step 1: Convert 4 yards into feet
1 yard = 3 feet
4 * 3 = 12 feet
Step 2: Convert 12 feet into inches
1 foot = 12 inches
12 * 12 = 144 inches
Answer: Bobby can cut 144 1-inch strips.
Answer:
144
Step-by-step explanation:
All you would need to know is that there is 36 inches in one yard and then you would just multiply the 36 by four to make the four yards total