Answer:
m = [tex]\frac{-2}{5}[/tex]
Step-by-step explanation:
2m + 1 = -3m - 1 (Given)
2m + 1 + 1 = -3m - 1 + 1 (Addition Property of Equality)
2m + 2 = -3m (Simplify)
2m - 2m + 2 = -3m - 2m (Subtraction Property of Equality)
2 = -5m (Simplify)
[tex]\frac{2}{-5} = \frac{-5m}{-5}[/tex] (Division Property of Equality)
[tex]\frac{-2}{5}[/tex] = m (Simplify)
m = [tex]\frac{-2}{5}[/tex] (Symmetric Property of Equality)
The answer is:
m = -2/5Work/explanation:
Combine like terms on each side:
[tex]\sf{2m+1=-3m-1}[/tex]
Make sure all terms that contain m are on the left side and all constant terms are on the right. Don't forget to use the opposite sign when moving terms from one side to the other one.
[tex]\sf{2m+3m=-1-1}[/tex]
[tex]\sf{5m=-2}[/tex]
Divide each side by 5
[tex]\sf{m=-\dfrac{2}{5}}[/tex]
Therefore, the answer is m = -2/5.Write an inequality to represent the graph.
a solid line passing through points 0 comma 2 and 4 comma negative 1 with shading below the line
y is greater than or equal to negative four thirds times x plus 2
y is less than or equal to negative three fourths times x plus 2
y is greater than or equal to negative three fourths times x plus 2
y is less than or equal to negative four thirds times x plus 2
Answer:
[tex]y \leq -\frac{3}{4}x+2[/tex]
y is less than or equal to negative three fourths times x plus 2
Step-by-step explanation:
step 1
Find the equation of the solid line
we have the coordinates (0,2) and (4,-1)
Find the slope m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{-1-2}{4-0}[/tex]
[tex]m=\frac{-3}{4}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx=b[/tex]
where
m is the slope
b is the y-intercept (value of y when the value of x is equal to zero)
we have
[tex]m=-\frac{3}{4}[/tex]
[tex]b=2[/tex] ---> is given
substitute
[tex]y=-\frac{3}{4}x+2[/tex]
Remember that
The shading area is below the line
therefore
The inequality is
[tex]y \leq -\frac{3}{4}x+2[/tex]
y is less than or equal to negative three fourths times x plus 2
Answer:
Y is less than or equal to negative three fourths times x plus 2
Step-by-step explanation:
A car is driven 402.5 miles on 11.5 gallons of gas. Find the number of miles traveled per gallon of gas
Answer:
I believe it's 35 miles per gallon of gas
Answer:
35 miles per gallon
Step-by-step explanation:
Here we know that the car driven 402.5 miles on 11.5 gallons of gas, so we can write the following equivalence:
402.5 m = 11.5 g
With m being miles and g gallons.
We want to know the equivalent of miles for 1 gallon. So, lets take the equivalence and divide it by 11.5
402.5/11.5 m = 11.5/11.5 g
35 m = 1g
So, each gallon permits to travel 35 miles. If you want to verify it, just multiply 11.5 (the gallons) g by the number of miles, 35:
11.5 * 35 = 402.5
what is the multiplicative inverse of -5 1/2
Answer:
-2/11
Step-by-step explanation:
-5 1/2=-11/2
-2/11
Find the inverse of f(x) = 3x - 2.
A) f^-1(x) = x+2/3
B) f^-1(x) = x-2/3
C) f^-1(x) = x - 2/3
D) f^-1(x) = x + 2/3
Answer:
x=0.6
Step-by-step explanation:
f(×)=3x-2 , 0=3x-2
-6x+y=8
5x+y=8
using elimination method
Answer:
x=0, y=8. (0, 8).
Step-by-step explanation:
-6x+y=8
5x+y=8
-----------
-6x+y=8
-(5x+y)=-8
--------------
-6x+y=8
-5x-y=-8
-------------
-11x=0
x=0/-11
x=0
5(0)+y=8
0+y=8
y=8-0
y=8
Change these times to the 12-hour clock.
a)
12 45
b)
19 30
Answer:
12:45 pm and 7:30 pm
Step-by-step explanation:
In a 24 hour clock, we don't use pm or am to identify time. But in a 12 hour clock , am or pm is used. Given time is in 24 hour clock.
So, for 12:45, in 12 hour clock it will be 12:45 pm because, when the time crosses 11:59, it becomes pm.
For, 19:30, it will 19:30-12:00= 7:30 pm.
Final answer:
To convert 12:45 from the 24-hour clock to the 12-hour clock, it remains 12:45 AM. To convert 19:30, you subtract 12 hours, making it 7:30 PM because it is after noon.
Explanation:
To convert times from the 24-hour clock to the 12-hour clock, you need to remember that the 24-hour clock runs from 0:00 (midnight) to 23:59, while the 12-hour clock repeats the cycle of AM and PM hours from 1 to 12.
Solution to (a):
12:45 in the 24-hour clock is straightforward. Since it's already in the AM range, it's the same in the 12-hour clock - 12:45 AM.
Solution to (b):
To convert 19:30 from the 24-hour clock to 12-hour clock format, subtract 12 hours from the 24-hour time if it is greater than 12. Thus, 19:30 becomes 7:30 PM because 19 - 12 = 7, and any time past noon is in the PM.
In a survey, children were asked what flavor of ice cream they favored. 600 children, or 60% of the respondents, said chocolate was their favorite. How many children responded in the survey?
Answer:
1,000
Step-by-step explanation:
60% of 1,000 is equal to 600
Answer:
its 600%
Step-by-step explanation:
please solve with steps how to do this exponets and signed fraction problem
( - 1/4) 2
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Given
[tex](-1/4)^{2}[/tex]
= - [tex]\frac{1}{4}[/tex] × - [tex]\frac{1}{4}[/tex]
= [tex]\frac{1(1)}{4(4)}[/tex]
= [tex]\frac{1}{16}[/tex]
A diver is currently -5 feet from the surface of the water and plans to explore a shipwreck that is at -75 from the surface. If she moves at a rate of -8 feet per minute, how many minutes does it take the diver to reach the shipwreck?
Answer:
8.75 minutes
Step-by-step explanation:
This is a simple linear relation between two variables, time and depth
We can solve it by simple inspection like this.
If the diver is 5 feet deep and plans to go 75 feet deep, he must move 70 feet deeper.
At a rate of 8 feet/minute, it will take him/her
70/8= 8.75 minutes
It is 8 minutes and 45 seconds
Carlton and Will went fishing together. Carlton caught 2100
and 7 walleye. Will caught 13 bass and 8 walleye. How many
more fish did Carlton catch than Will?
Answer:
Carlton caught 2072 more fish than Will
Step-by-step explanation:
First you add how much fish Will caught: 7+13+8=28. Then you Subtract Carlton's number of fish minus Wills number of fish:
2100-28=2072! Hope it helped :) Please Mark Brainliest :)
The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1). Find the new coordinates of the vertices after the given translation.
Answer:
A'(-2,0) , B'(0.5,6) and C'(3,0)Step-by-step explanation:
The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1).
The given translation of vertices,
(x, y) → (x + 3, y − 1)This translation shows shift x-coordinate 3 unit right and y-coordinate 1 unit down.
First translate vertices A(-5,1)[tex]A(-5,1)\rightarrow A'(-5+3,1-1)[/tex]
New vertices A'(-2,0)
Now vertices B(-2.5,7)[tex]B(-2.5,7)\rightarrow B'(-2.5+3,7-1)[/tex]
New vertices B'(0.5,6)
Now vertices C(0,1)[tex]C(0,1)\rightarrow C'(0+3,1-1)[/tex]
New vertices C'(3,0)
Hence, the new coordinate of the vertices are A'(-2,0) , B'(0.5,6) and C'(3,0)
Point Q(-1, 5) is reflected across the line x = -1. What are the coordinates of its image? (5, -1) (1, 5) (-1, -5) (-1, 5)
Answer:
(-1,5)
Step-by-step explanation:
The line x = -1 is a vertical line parallel to the y-axis.
Therefore, if the point Q(-1,5) reflects on line x = -1, then the y-coordinate of the image point will not change.
Again, as the point Q(-1,5) is on the line x = -1, therefore, the image will be the point itself i.e. (-1,5). (Answer)
The horizontal distance from point (-1,5) to the line x = -1 is zero.
Answer:
(-1,5)
Step-by-step explanation:
The price of a pair of shoes is $52. This price is 15% lower than last week.
What was the price of the shoes last week?
Round your answer to the nearest cent.
Enter your answer in the box.
Answer:
60
Step-by-step explanation:
Answer:
$61.18
Step-by-step explanation: the first one is wrong it is $61.18
What is the midpoint of a line segment with endpoints at (3,-1) and (8, -4)?
The midpoint of a line segment with endpoints at (3,-1) and (8, -4) is [tex]\left(\frac{11}{2},-\frac{5}{2}\right)[/tex]
Solution:
We have been given 2 end points of a line which are: (3,-1) and (8, -4)
The midpoint of a line segment is half way from both the ends of the line segment.
The formula for midpoint for the two points [tex]P(x_1, y_1) \text{and} Q(x_2, y_2)[/tex] is given as:
[tex]\text {Midpoint}=(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]
Here P(3, -1) and Q(8, -4)
[tex]\text { So } x_{1}=3 ; x_{2}=8 ; y_{1}=-1 ; y_{2}=-4[/tex]
Plugging in values in above formula, we get
[tex]\begin{array}{l}{\text {Midpoint}=(\frac{3+8}{2}, \frac{-1-4}{2}})\\\\ {\text {Midpoint}=(\frac{11}{2}, \frac{-5}{2}})\end{array}[/tex]
Hence, the midpoint of the line segment is [tex]\left(\frac{11}{2},-\frac{5}{2}\right)[/tex]
d. Last year, Mr. Petersen was able to plant 4 rows of carrots with 13 plants in each row. This year, he
plans to plant twice as many rows with twice as many carrot plants in each. How many carrot plants
will he plant this year? Write a multiplication equation to solve. Assess the reasonableness of your
answer.
Marty must pack 4,125 steel ball bearings into 10 boxes. Each box must contain an equal number of bearings. How many bearings does he have left over? (use long division to find the remainder)
A) 3
B) 5
C) 7
D) 9
Answer:
5 are left over
The drawing will help
Answer:
B
Step-by-step explanation:
2(4x - 5) - (x - 4) solve please
Answer:
7x-6
Step-by-step explanation:
2(4x-5)-(x-4)
8x-10-x-(-4)
8x-10-x+4
7x-10+4
7x-6
Step-by-step explanation:
2(4x-5) - (x-4)
8x-10 - (x-4)
8x-10 -x+4
7x-6
The LCM of 3 and 8 is ______.
Answer: the lowest common multiple of 3 and eight is 24
Step-by-step explanation:
Answer:its 24 :)
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
Not the commutative property but the fact that absolute value is always positive so the absolute value of x is equal to the absolute value of negative x
Step-by-step explanation:
Identify the prime factorization for the given number. 6 A. 2 × 2 × 3 B. 2 × 3 C. 1 × 6 D. 1 × 2 × 3 × 6
Answer:
B. 2 x 3
Step-by-step explanation:
Answer:
b i got it right on test
Step-by-step explanation:
What is the fourth number in this pattern, and what is the rule?
Answer: Multiplied by 10
Step-by-step explanation:
To find the common difference (rate or slope) we can divide the 2nd term to the 1st term.
54.2 / 5.42 = 10 (rule)
Since the common difference is the same throughout the sequence, we can name this as a "arithmetic sequence".
We can multiply 10 to 542 to find the 4th term: 542 * 10 = 5,420
______
Best regards,
Wolfyy :)
Divide 100 by 16 and write the answer as mixed number. Reduce the fraction part of the mixed number
Answer:
Step-by-step explanation:
100/16 = 25/4 = 6(whole number )1/4
Help ASAP!
What is the area of a triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?
What is the area of a parallelogram with a base of 14.5 m and a height of 21 m?
Given that one ton is equal to 2000 pounds, what is 5 tons?
Answer:19.25
304.5
10000
Step-by-step explanation:
Jeff has 4 red pens and 2 blue pens in his backpack. He also has 1 yellow highlighter and 4 green highlighters in his
backpack. If he reaches into his backpack and grabs one pen and one highlighter without looking, what is the probability
that he will grab a blue pen and a yellow highlighter?
Answer:
[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
In probability,
"AND" means "multiplication"
"OR" means "ADDITION"
We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.
Let P(b) be probability of blue pen
Let P(y) be probability of yellow highlighter
We know probability of event is that event divided by total number of that
So,
There are 4 + 2 = 6 pens
Blue pen = 2
Hence,
P(b) = 2/6 = 1/3
And,
There are 5 highlighters
Yellow highlighter = 1
Hence,
P(y) = 1/5
Now,
P(b and y) = 1/3 * 1/5 = 1/15
Hence,
probability of grabbing blue pen and a yellow highlighter is [tex]\frac{1}{15}[/tex]
Answer:
2/15
Step-by-step explanation:
Greta is 1 1/2 meters tall which of the following is equivalent to 1 1/2 meters
1 1/2 meters is equivalent to 1500 millimeters.
The correct option is (b).
To find out which option is equivalent to 1 1/2 meters, we need to convert 1 1/2 meters to millimeters.
Given:
- Gretta's height is 11/2 meters.
To convert meters to millimeters, we'll use the fact that 1 meter is equal to 1000 millimeters.
So, to convert 1 1/2 meters to millimeters:
[tex]\[ \text{1 1/2 meters} = (1 + 1/2) \times 1000 \text{ millimeters} \][/tex]
[tex]\[ = (1.5) \times 1000 \text{ millimeters} \][/tex]
[tex]\[ = 1500 \text{ millimeters} \][/tex]
So, 1 1/2 meters is equivalent to 1500 millimeters.
Therefore, the correct option is:
b. 1500 millimeters
complete question given below:
Gretta is 11/2 meters tall. Which of the following is equivalent to 1 1/2 meters?
a.150 millimeters
b.1,500 millimeters
c.100 millimeters
d.1,000 millimeters
9.
Given that 4:5:8 is equivalent to 1:n:b. Find the ratio of n:b only.
Step-by-step explanation:
So 4:5:8
= 1:n:b
which means that 4/n= 1
n= 1x4 so n=4
Now we know that 4 is divided by 4 to get 1, so we do the same for the other two values.
5/4= 1.25 and 8/4= 2
So now place the values for n:b
n= 1.25 b=2
So n:b= 1.25:2
To check, multiply each of the values in 1:1.25:2 by 4 and see if the answer you get is the same as 4:5:8.
Higher Order Thinking
Mrs. Dryson
divided her collection of 52 glass bears
into equal groups. She had 1 bear
left over. How many groups did
Mrs. Dryson make? How many bears
are in each group?
Answer:
Mrs. Dryson made 3 groups with 17 glasses of bears each or she made 17 groups with 3 glasses of bears each.
Step-by-step explanation:
Let the number of groups is x and each group gets y number of bears.
Now, Mrs. Dryson distributed 52 glass bears equally in groups and there was 1 bear left over.
Therefore, xy = 52 - 1 = 51
Now, x and y both must be whole numbers.
Now, we have 51 = 3 × 17, which is the only possible factorization of 51.
So, if x = 3 then y = 17 and if x = 17, then y = 3.
Therefore, Mrs. Dryson made 3 groups with 17 glasses of bears each or she made 17 groups with 3 glasses of bears each. (Answer)
is -44 a rational or irrational
Answer: Rational
Step-by-step explanation: -44 is an integer and all integers are rational numbers. Therefore, -44 is classified as a rational number.
The set of integers includes the set of whole numbers {0, 1, 2, 3...} and they also include their negative counterparts.
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The sum of three numbers is -44.84. One of the numbers is 24.6. The other numbers are equal to each other. What is the value of each of the other two numbers?
Answer:
-34.72
Step-by-step explanation:
a + b + c = -44.84
a= 24.6
24.6 + b + c = -44.84
Since b = c (given "the other numbers are equal to each other")
Substitute b into c, we have
24.6 + b + b = -44.84 (b+b is the equivalence of 2 x b)
24.6 + 2b = -44.84 (subtract 24.6 from both sides)
2b = -69.44 (divide 2 from both sides)
b= -34.72
Since b = c (given "the other numbers are equal to each other")
c is also -34.72
A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 50% copper alloy? The metal worker should use (blank) kilograms of the metal alloy that is 30% copper and (blank) kilograms of the metal alloy that is 55% copper. (show your work)
X+Y=100kg
X=100-Y
X*0.3+Y*0.55=100*0.5
(100-Y)*0.3+Y*0.55=50
30-0.3*Y+0.55*Y=50
0.25*Y=20
Y=80 kg
X=100-80
X=20 kg
The metal worker should use 20 kilograms of the metal alloy that is 30% copper and 80 kilograms of the metal alloy that is 55% copper.
Answer:
x=20kg
Step-by-step explanation: