Answer:
m= 3.5
Step-by-step explanation:
Answer:
m = -7/4
Step-by-step explanation:
-2m - 6 = 6m + 8
Add -6 to both sides.
-2m = 6m + 14
Subtract 6m from both sides
-8m = 14
Now divide -8 from 14
m= -7/4
what is the opposite of the opposite of -1.4?
Answer: -1.4
The opposite of -1.4 is 1.4; you flip from negative to positive.
Then taking the opposite of 1.4 gets us back to -1.4 again
Effectively the two opposites cancel out and nothing changes.
Answer:
-1.4
Step-by-step explanation:
because if it says the opposite then
it goes like this
opposite one time = positive 1.4
then do the opposite of a positive = -1.4
The state of Montana is experiencing a warm day after a heavy snowfall. The graph shows the height of snow, h, in centimeters after t hours.
1.) What linear function does the graph represent.
h= 3t = 6
h=3t+18
h=−3t+18
h=−3t+6
The initial value represents which of the following?
The amount of snow melting each hour.
The amount of snow remaining after four hours.
The amount of snow that accumulated the previous night.
Answer:
1. [tex] h = -3t + 18 [/tex]
2. The amount of snow that accumulated the previous night.
Step-by-step explanation:
1. height of snow = h cm
time = t hrs
To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,
y = h,
x = t
m = slope
b = y-intercept
Find slope (m) using points (6, 0) and (0, 18):
[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]
m = -3
The y-intercept is where the line intercepts the y-axis = 18
Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.
Thus, the linear function would be:
[tex] h = -3t + 18 [/tex]
2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.
Answer two questions about Equations A and B:
A. 3(x+2)=18
B. x+2=6
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide only one side by a non-zero constant
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Raul can ride his unicycle 2.5 miles in 30 minutes. If he maintains the constant speed, what number of total miles can he travel in 90 minutes.
Answer:
Raul would ride 18 miles.
Step-by-step explanation:
60/10 =6
3x6=18
Answer:
18 miles is your answer
A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?
Answer:
which table?
Step-by-step explanation:
im assuming it would look like this
1 24
2 48
3 72
4 96
5 120
6 144
7 168
8 192
9 216
10 240
just multiply the number of loaves to 24
Hope this helped :)
Which of the following statements best describes the value of the expression 12x + 2 when x = 9?
A. The result is a fraction.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps
Answer:
C
Step-by-step explanation:
12 x 9 = 108 + 2 = 110. 110 / 2 = 55 and 55 is a composite number.
Kira skied at a steady speed in a 2 mile cross country ski race her finished time was 5/12 hour Kira wants to know her speed miles per hour
Answer: The purpose of this task is to give students experience in reasoning with equivalent ratios and unit rates from both sides of the ratio. This prepares for studying proportional relationships in Grade 7, and in Grade 8 for understanding that a proportional relationship can be viewed as a function in two different ways, depending on which variable is regarded as the input variable and which as the output variable. The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.
If we look in column E, we can see that it would take her 45 minutes to run 6 miles.
If we look in column B, we can see that she could run 2 miles in 15 minutes.
If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.
If we look in column C, we can see that her pace is 7.5 minutes per mile.
If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5minute mile×6 miles=45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Using the speed - distance relationship, kira's speed in miles per hour would be 4.8 miles per hour.
Given the Parameters :
Speed = 5/12 hours = 0.416666 hour Distance = 2 miles Speed = distance / timeHence,
Speed = (2 ÷ 0.416666) = 4.8 miles per hour.
Therefore, Kira's speed is 4.8 miles per hour.
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An airplane can ascend at a rate of meters in of a second. How many meters can the airplane ascend in one second?
A. 35
B. 52 1/2
C. 78 3/4
D. 39 3/4
Answer:
78 3/4 I think is the answer
HELP ASAPPP
What is 60% of 40?
Answer:
The answer is 24
Step-by-step explanation:
E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
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Can someone please help me it's slope
Answer:
-0.04
Step-by-step explanation:
Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.
Answer:
1,3
Step-by-step explanation:
When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04
Answer: 601
Step-by-step explanation:
The formula to find the minimum sample size(n) , if the prior population proportion is unknown:
[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.
Given : E = 0.04
Z-value for 95% confidence = 1.96
So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]
[tex]= 0.25\times 2401=600.25\approx601[/tex]
Hence, the minimum sample size required = 601
Carmine and Hiram are solving the following word problem.
Gina is training for a marathon. She ran 6.75 miles on Saturday. On Sunday, she ran 7.20 miles. How far did she run on Saturday and Sunday combined?
Carmine sets up his problem as 6.75 + 7.20
Hiram sets up his problem as 7.20 + 6.75
Who is correct? Carmine, Hiram, or both
Answer:
Both is the anwser.
Step-by-step explanation:
Look it this way its simple 7.20 plus 6.75 equals 13.95
6.75 plus 7.20 is 13.95 theres no decimals changing in this problem meaning that both of them are correct.
whats the rate if 13 inches of snow in 7 hours
Answer:
1.86 (rounded to nearest hundredth) inches of snow in 1 hour
Step-by-step explanation:
Divide 13 inches of snow by 7 hours
The answer is 1.8571428571428571428571428571429
Round to the nearest hundredth
1.86
Hope this helped :)
[tex]\textsf{Hey there!}[/tex]
[tex]\textsf{What's the rate of 13 inches of snow in 7 hours?}[/tex]
[tex]\mathsf{\dfrac{13\leftarrow \bf{inches}}{7\leftarrow{hours}}} \\\\\mathsf{\dfrac{13\div7\leftarrow inches}{7\div7\leftarrow hours}}\\\\\mathsf{7\div7=1}\\\\\mathsf{\dfrac{13\div7\leftarrow\underline{ inches}}{1\leftarrow \underline{hour(s)}}}\\\\\mathsf{13\div7=1.857143}\\\\\mathsf{\dfrac{1.857143\leftarrow \frak{inches}}{1\leftarrow\frak{hour(s)}}}}}}\\\\\mathsf{1.85714\div1=\bf{ANSWER}}\\\\\textsf{Solve above and you have your answer.}[/tex]
[tex]\lhuge\text{Note: We're rounding our answer because the actual answer will take some time}[/tex]
[tex]\boxed{\boxed{\textsf{Thus, your answer is: \boxed{\boxed{\large\textsf{\bf1.86 inches per hour}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst}[/tex]
A box has the following measurements:
Length - 8 cm
Width - 4.2 cm
Height - 3.1 cm
The volume of the box is calculated as length times width times height
Complete the statements to find the box's volume.
1. First multiply length times width. Show your work and explain how you placed the
decimal point
Answer:
33.6
Step-by-step explanation:
length× width
= 8×4.2
8.0
× 4.2
_____
160
+3200
_____
3360
______
Here, in the question it is 8×4.2. We kept .0 to 8. That is 8.0×4.2. Here, we have two decimal points. So we should keep the two decimal points in the answer. Then, the answer is 33.6
The sum of the 112th term of the geometric series is 256 and the common ratio is 3/4. Find the first term of the first geometric series.
Answer:
First term = 64
Step-by-step explanation:
We are given the formula for the nth term of a geometric series to be;
S_n = (a1(1 - rⁿ))/(1 - r)
Where:
S_n is the sum of n terms
A1 is first term
r is common ratio
We are given;
S_112 = 256
r = ¾
Thus;
256 = a1(1 - ¾^(112))/(1 - ¾)
256 = a1(4)
a1 = 256/4
a1 = 64
What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3
3/4 is the answer for your question
Answer:
3/4
Step-by-step explanation:
the ratio is kinda like fractions
here are more:
3:5 - 3/5
4:9 - 4/9
y X
0 -1
1 3
2 7
3 11
4 15
Which equation matches the function described in the table?
A)
y = 4x
B)
y = x-1
y = x+ 5
D)
y = 4x - 1
Answer:
D) y=4x-1
Step-by-step explanation:
Answer:
D) y=4x-1
Step-by-step explanation:
Each y-value in the table is 1 less than 4 times the corresponding x-value.
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation Ï =20 . Find the probability that a randomly selected adult has an IQ between 85 and 125 .
Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
Billy and Joe go to McDonalds for lunch. They order 2 burgers, 3 fries, and 2 sodas. The mom
bugers cost $3.50 each. The sodas cost $1.00 each. If the total was $16.29 how much was
each fry. Write and solve an equation to represent this situation. Round your answer to
the nearest tenth
Answer:
2.43 and rounded it is 2 dollars
Step-by-step explanation:
2 burger-$7.00
3 Fries-
2 Sodas- $2.00
7+2=9
$16.29-9.00=7.29
$7.29/3=2.43
whatis the reciprocal of the number. 7/8
Answer:
8/7
Step-by-step explanation:
reciprocal is just the same number flipped
Answer:
8/7
Step-by-step explanation:
The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1
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I- I'm speechless
Do you even have a question-
A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length
Answer:
18
Step-by-step explanation:
The formula for area is a=lw
So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.
A bag of garden soil weighs 44 pounds and holds 5cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answer:
Weight of 15 bags in Kg: 299.4 Kg
Volume of 15 bags in cubic yards: 1.11 cubic yards
Step-by-step explanation:
Weight of 15 bags is calculated as follows:
Let's convert 44 pounds to Kg.
1 pound-------0,453592 Kg
44pounds------x
To find the weight of 15 bags we have to multiply the weight of one bag by 15:
Weight of 15 bags=19.95*15=299.4 Kg
Volume of 15 bags is calculated as follows:
First we need to convert one bag volume that is given in cubit feet to cubic yards:
1 cubic feet---------------0.03704 cubic yard
2 cubic feet----------------x
To find the volume of 15 bags we have to multiply the volume of one bag by 15:
Volume of 15 bags=0.07407cubic yard*15= 1.11 cubic yards
Step-by-step explanation:
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
Show a numerical expression of 1/3 of 11/16
Answer:
11/48 = 0.02083
I'm pretty sure-
Barry and Evelyn know they want a 15 year mortgage for their new home purchase. They are planning to borrow $160,000. Two local lending institutions have similar offers. Loan A is offering a 3% annual interest rate leading to a monthly payment of $1104.93. Loan B is offering a 4% annual interest rate leading to a monthly payment of $1183.50.
Answer:
Loan A: $198887.40
Loan B: $213030
Step-by-step explanation:
To find the total payback use the equation:
P x 12 x t
P= monthly payment
t= time in years
Loan A: 1104.93 x 12 x 15= $198887.40
Loan B:1183.50 x 12 x 15= $213030
Hope this helps :)
just need the answer
Answer:
the pic is black send another one
what number is 0.79 more than 0.97
Answer:
1.76
Step-by-step explanation:
0.79 + 0.97
The number 1.76 is 0.79 more than 0.97.
What are numbers?A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.
Given what number is 0.79 more than 0.97,
Let the number be x,
x = 0.79 + 0.97
x = 1.76
Hence, the number 1.76 is 0.79 more than 0.97.
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