Answer:
3n + 2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n -4 +4n +6 [positive plus negative = negative; ∴ +(-4) = -4
=4n - n +6 - 4 negative plus negative = positive; ∴ -(-4n) = 4]
now subtract n from 4n and subtract 4 from 6
=3n + 2
10(1 + 3b)=-20 solve
10(1 + 3b) = -20
Isolate b.
Apply the distributive property: a(b + c) = ab + ac.
10(1 + 3b) = -20
10 + 30b = -20
Subtract 10 from both sides.
10 + 30b - 10 = -20 - 10
30b = -30
Divide both sides by the coefficient, 30.
b = -1
Answer:-1
Is it true that 1 2/5 - 3/4 = 1/4 + 2/5? Prove your answer.
The statement [tex]1\frac{2}{5}[/tex] - 3/4 = 1/4 + 2/5 is true.
Let's start by converting the mixed numbers into improper fractions:
[tex]1\frac{2}{5}[/tex] = (5 × 1 + 2) / 5 = 7/5
3/4 remains the same.
1/4 + 2/5 = 5/20 + 8/20 = 13/20
To proceed with the calculations, we need to find a common denominator for 5 and 4, which is 20.
Multiplying the numerator and denominator of 7/5 by 4, we get:
(7 × 4) / (5 × 4) = 28/20
Multiplying the numerator and denominator of 3/4 by 5, we get:
(3×5) / (4×5) = 15/20
Therefore, the equation becomes:
28/20 - 15/20 = 13/20
Simplifying the left side:
(28 - 15) / 20 = 13/20
So, 7/5 - 3/4 does indeed equal 1/4 + 2/5, both of which simplify to 13/20.
Hence, the statement [tex]1\frac{2}{5}[/tex] - 3/4 = 1/4 + 2/5 is true.
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Final answer:
After converting all fractions to have a common denominator of 20, it was determined that 1 2/5 - 3/4 is indeed equal to 1/4 + 2/5, as both expressions simplify to 13/20.
Explanation:
To verify if 1 2/5 - 3/4 is equal to 1/4 + 2/5, we will calculate both expressions step by step:
Firstly, to subtract fractions, they must have a common denominator:
1 2/5 can be written as 7/5 since 1 + 2/5 is the same as 5/5 + 2/5.
Now, to make 3/4 have the same denominator as 7/5, multiply both numerator and denominator by 5:
3/4 * 5/5 = 15/20
Next, convert 7/5 to twentieths by multiplying by 4/4:
7/5 * 4/4 = 28/20
We can now subtract the two fractions:
28/20 - 15/20 = 13/20
Now let's calculate 1/4 + 2/5.
To add these two fractions, find a common denominator.
Our common denominator will be 20, as before. Multiply the numerators and denominators as needed:
1/4 * 5/5 = 5/20
2/5 * 4/4 = 8/20
The sum of these two fractions is:
5/20 + 8/20 = 13/20
Through these steps, we have shown that 1 2/5 - 3/4 is indeed equal to 1/4 + 2/5, as they both simplify to 13/20.
amanda is 5.5 ft tall she casts a shadow of 2.75 ft she is standing next to the basketball hoop that is 10 ft high how much of a shadow will it cast
Final answer:
Using similar triangles, the basketball hoop which is 10 ft high will cast a 5 ft long shadow.
Explanation:
To find out how much of a shadow the basketball hoop will cast, we can use the concept of similar triangles. Amanda, who is 5.5 ft tall, casts a shadow that is 2.75 ft long.
The basketball hoop is 10 ft high.
To find the length of the shadow cast by the hoop, we set up a proportion based on the heights and shadow lengths:
Height of Amanda / Shadow of Amanda = Height of Basketball Hoop / Shadow of Basketball Hoo
5.5 ft / 2.75 ft = 10 ft / X ft
Cross-multiply to solve for X (the shadow of the basketball hoop):
5.5 * X = 10 * 2.75
X = (10 * 2.75) / 5.5
X = 27.5 / 5.5
X = 5 ft
So, the basketball hoop will cast a shadow that is 5 ft long.
what is |95.7|? A. 0 B. -95.7 C. 95.7 D. -95.7 or 95.7
Answer:
C. 95.7.
Step-by-step explanation:
|95.7| is the absolute value of 95.7 which is 95.7.
Answer:
The answer is 95.7.
Step-by-step explanation:
In order to determine the answer, we have to know about absolute value function. The notation of this function is | | .
The absolute value function convert any sign into positive. For example, the absolute value of -89.8 is 89.8. The function does not change the number value, just change the sign of the number.
positive numbers do not change.negative numbers just change their sign into positive.In this case, for 95.7:
[tex]|95.7|=95.7[/tex]
Finally, the answer is letter C. [tex]95.7[/tex]
(-14i6)(-6i3)(2i8)
21. When Brooke buys lunch at the cafeteria,
money is withdrawn from a lunch account.
The table shows amounts withdrawn in
one week. By how much did the amount in
Brooke's lunch account change by the end
of that week?
25.
Answer:
The amount in Brooke's lunch account change by the end of that week is $-20 or $20 decrease.
Step-by-step explanation:
Consider the provided information.
Each day Brooke buys lunch and withdrawn the same amount i.e $4.
The number of days are 5.
To calculate the change by the end of that week, find the total amount withdrawn in 5 days.
To represent withdrawn use a negative sign.
[tex]5(-4)[/tex]
The product of the numbers will be a negative number as they have opposite sign.
[tex]5(-4)=-20[/tex]
Hence, the amount in Brooke's lunch account change by the end of that week is $-20 or $20 decrease.
The amount in Brooke's lunch account change by $20.
Using the parameters given for our Calculation;
Initial balance = $28Amount spent per day = $4Number of days = 5The total amount spent is ;
5 * $4 = $20The change in the amount spent;
Initial balance - Total amount spentNow we have ;
$28 - $20The change in the lunch account by the end of the week is $20.
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Susan had 28 ft of ribbon to complete a wreath project. She needs 3 1/4 ft of ribbon for each wreath project. How many wreaths would Susan be able to make?
Help please 20 points you do
Answer:
She will be able to make 8 wreaths
Step-by-step explanation:
I got my answer by first converting 3 1/4 into 13/4. I then divide 28 by 13/4 which was multiplying 28 by 4/13.
I got 112 when I did 28 × 4
I then divided 112 by 13
and got 8.615.
Since they are asking for how much wreaths she could make, it is going to be 8
What would "x" be? And how do you get it?
Answer:
x would be a variable. Did the instructions say x = 5 or some other number? If so, you can solve it.
19/25 into a decimal
Answer:
0.76
Step-by-step explanation:
19 divided by 25 is 0.76.
Select the correct answer. The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
24.35°C is the answer
Final answer:
The temperature on Monday was 24.35°C.
Explanation:
To find the temperature on Monday, we need to subtract the change in temperature from the temperature on Sunday. The temperature on Monday was 32.6°C and the change in temperature was -8.25°C.
Therefore, the temperature on Monday was 32.6°C + (-8.25°C) = 24.35°C.
What is the change in temperature from -8°F to 14°F?
22°F
0-22°F
0-6°F
6°F
Answer:
22F
Step-by-step explanation:
Absolute value of -8 is 8. Therefor, that'll put you at 0. Then from 0 you want to get to 14, so you'll take the 14 and add 8 to it which will leave you with 22.
Which of the following geometric terms correctly names the red segment
shown inside the circle?
O
A. Axis of symmetry
O
B. Center
O
C. Directrix
O
D. Radius
Answer:
Unfortunately, I can't see the picture. Can you please submit the picture once more?
The radius of circle is shown by the red segment.
What is Radius?The radius of a circle is the distance between the circle's centre and any point on its circumference. It is commonly represented by the letters 'R' or 'r'. This number is significant in practically all circle-related formulae. A circle's area and circumference are also measured in terms of radius.
The radius is the distance from the circle's centre to its perimeter. The diameter is always twice as large as the radius.
The point in the center is called as Center of Circle.
Now, the axis of symmetry pass through the center.
Here the red segment which starts from center and touches the boundary of circle is called as the radius of circle.
Thus, the red segment is radius.
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How many lawns can you move with one gallon of gasoline if you maintain the rate of 1/2 gallon of gasoline per 1/4 lawn mowed
Answer:
You can mow 1/2 a lawn with a gallon of gasoline.
Step-by-step explanation:
Start by setting the amounts equal to each other. .5*.25.
The .5 should become a 1, so multiply it to become the answer of 1. What you do on one side should be repeated on the other side also. So then multiply .25 by 2 to get .5
i have 14 post cards from each of 8 cities. I can fit 4 postcards on each page of my scrapbook. how many pages in the scrapbook can be filled with postcards?
Answer:
28
Step-by-step explanation:
The total of all the post cards from the 8 cities is 112 so 112 divide by 4 (because only 4 can fit in a single page) =28
which ordered pair is the solution to the system of equations?
x+3y=-12
y=1/3x-6
a. (10, -2 2/3)
b. (-5, -2 1/3)
c. (3,-5)
d. (-9,-9)
Answer:
c. (3, -5)
Step-by-step explanation:
{x + 3y = -12
{y = ⅓x - 6
x + 3[⅓x - 6] = -12
x + x - 18 = -12
2x - 18 = -12
+ 18 + 18
____________
2x = 6
__ _
2 2
x = 3 [Plug this back into both equations to get the y-coordinate of -5]; -5 = y
I am joyous to assist you anytime.
solve the equation 1/2a = 11
Answer:
A=22
Step-by-step explanation:
Look at picture in link provided
The value of a is 22 in the equation 1/2a = 11.
The given equation is 1/2a=11.
One by two times of a is equal to eleven.
We have to find the value of a where a is the variable.
1/2a=11
Apply cross multiplication:
a=11×2
When eleven is multiplied with 2, we get 22.
a=22
Hence, the value of a is 22.
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Which ratio is equivalent to 1:5?
3:10 4:20 7: 13 20 : 4
The ratio 1:5 can be equivalent to the ratio 4:20. To see this, you can multiply both parts of the ratio 1:5 by 4, which gives you 4:20.
The ratio 1:5 can be equivalent to the ratio 4:20. To determine this, you need to find a common factor that you can use to scale up the ratio 1:5 to an equivalent ratio.
In this case, multiplying both parts of the ratio 1:5 by 4 gives you 4:20, which is equivalent.
So, the answer is 4:20.
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Which choice represents the best rational approximation for the square root of 20
Answer:
the solution is 4.5
Step-by-step explanation:
what integer describe a loss of 45 yards
Answer:
-45
Step-by-step explanation:
A loss of 45 yards means losing and it would be negative. Example if you ate 5 cookies is it negative or positive, which is negative cause your taking it away.
A loss of 45 yards in Mathematics is represented as -45. Negative integers are used to signify losses or decrease.
Explanation:In Mathematics, when we're talking about a loss or decrease, we often refer to negative integers. In this case, a loss of 45 yards would be represented by the integer -45. Whenever you lose something or move in the reverse direction, negative integers are used to represent such situations. Thus, the integer describing a loss of 45 yards is -45.
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Solve the equation. Select all that apply.
x^2= 121
A
x = 11
B. x=21
C. X = 61
D. x=-11
E. X=-21
Answer:
x = 11, x = -11
Step-by-step explanation:
I know this is kind of late but the two previous answers were wrong.
We have x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:
√x² = √121
x = √121
You might think that x = 11 but remember, x can be negative as well because you can square negative numbers. Basically, every real number has two square roots - a positive and a negative one. So, the answer isn't just x = 11, it's also x = -11 because (-11)² = 121 as well.
Answer:
x=11
Step-by-step explanation:
Mean of 6 numbers is 41. Remove one number and the mean of the five numbers is 46. What is the unknown number
Answer:
- 16
Step-by-step explanation:
This is very tricky. Be careful how you do it.
The total of the six numbers is 6*41 = 246
The total of five numbers = 5*46 = 230
What have you you removed to make the number average go up with a smaller sample? The answer is a negative.
230 - 246 = - 16
8.2
5. In a '70% off' sale, a hat was £33.60.
Work out the original price.
100% - 70% = 30%
30% of what = £33.60?
Let p = original price
0.30p = 33.60
p = 33.60 ÷ 0.30
p = £112
6.25 marked up 25%?
Answer:
7.8125
Step-by-step explanation:
6.25 x 1.25
The marked-up price is $7.81 if the amount is $6.25 and the rate in percentage is 25%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The amount = $6.25
The rate in percentage = 25%
The marked-up price = 6.25 + 25% of 6.25
The marked-up price = 6.25 + (25/100)6.25
The marked-up price = 6.25 + (0.25)6.25
The marked-up price = 6.25 + 1.56
The marked-up price = $7.81
Thus, the marked-up price is $7.81 if the amount is $6.25 and the rate in percentage is 25%.
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Which of the following is 28/31 closest to? 0 1/2 1
The answer of this question is 1.
Closest value of the given fraction [tex]\frac{28}{31}[/tex] is equal to [tex]1[/tex].
What is fraction?"Fraction is defined as the part of a whole quantity."
According to the question,
Given fraction,
[tex]\frac{28}{31}[/tex]
Simplify the given fraction we get,
[tex]\frac{28}{31} = 0.903...[/tex]
≈ [tex]1[/tex] (closest value to [tex]0.903..)[/tex]
Hence, the closest value of the given fraction [tex]\frac{28}{31}[/tex] is equal to [tex]1[/tex].
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{z|1.3
An inequality is
Answer:
an inequality is basically two numbers compared between which is larger, smaller or equal.
Step-by-step explanation:
Write 1,840 in scientific notation!!!!!!!!
Answer:
1.84 x10 to the power of 3
Step-by-step explanation:
there is 3 numbers to the right of the decimal making it to the power of three
keep all important numbers, removing the 0 and keeping everything else
i have done maths to this extent in a few months so i would double check
Answer:
1.84 x10 to the power of 3
Step-by-step explanation:
Daryl used a ruler to measure the distance between two cities on a map with a scale of 1 inch to 40 miles. He reported the actual distance between the two cities as 200 miles, with a measurement error of 10 miles. What is the smallest increment on the ruler Daryl used?
A. 0.25 in.
B. 0.5 in.
C. 0.75 in.
D. 1 in.
Hey!
-------------------------------------------------
We Know That:
1 inch = 40 miles
200 / 4 = 5
200mi. = 5 x 40mi. (5 x 1mi on scale)
-------------------------------------------------
Solution:
40 / 4 = 10 (not to scale)
1 / 4 = 0.25 (error to scale)
If the scale is 0.25 then it's half way while rounding.
-------------------------------------------------
Answer:
[tex]\large\boxed{B.~0.5~in.}[/tex]
-------------------------------------------------
Hope This Helped! Good Luck!
Answer: Is not A. Its B.
Step-by-step explanation:
I chose A and it is wrong. I would choose B.
400 * 0.5 = 200
400 * 0.25 = 100
his three high jumps, Kevin jumped 4 34 feet, 4 56 feet, and 4 23 feet.
a. Find the mean of the heights. Explain how you found the answer.
Answer:
The answer would be 4.376. the 6 is repeating
Step-by-step explanation:
You would add up the three jumping distances.
4.34ft+4.56+4.23=13.13
Then you would divide them by the total number of numbers there are.
13.13/3= your answer, which is 4.376
4.376 is the mean of the heights when Kevin jumped three high jumps 4.34 feet, 4.56 feet, and 4.23 feet.
Kevin jumped three high jumps of 4.34 feet, 4.56 feet, and 4.23 feet. We need to find the mean of the heights.
What is Mean?
The mean is the average or the most common value in a collection of numbers
The formula for mean= Sum of data values/ Total number of data values.
The given three high jumps of kevin are 4.34 feet, 4.56 feet, and 4.23 feet.
We need to find the mean of his three heights.
From the formula of mean,
The three data values are 4.34 feet, 4.56 feet, and 4.23 feet.
Mean=Sum of data values/ Total number of data values.
=(4.34+4.56+4.23)/3
=13.13/3
=4.3766
Therefore mean of Kevins three high jumps 4.34 feet, 4.56 feet, and 4.23 feet is 4.3766.
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-1 + 14x = 12x + 17 Whats the answer ? what is x
Answer:
x= 9
Step-by-step explanation:
Move the terms -> -1=14x = -12x + 16
Find out the sum -> 2x=17+1
Divide both by the equation by two -> 2x=18 x=9
Final answer: x=9
Will Mark brainliest, PLEASE Help!
Answer:
a.
[tex] \sqrt{ {5}^{4} } = {5}^{2} \\ \sqrt{ {7}^{2} } = 7 \\ {5}^{2} \times 7[/tex]
b.
[tex] \sqrt{ {2}^{6} } = {2}^{3} \\ \sqrt{ {11}^{10} } = {11}^{5 } \\ {2}^{3} \times {11}^{5} [/tex]