Answer:
4.5 miles.
Explanation:
24 x 1,000 = 24,000
24,000 ÷ 5380 = 4.5
The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the length, in units, of the rectangle?
Answer:
7 is width
Step-by-step explanation: i got it right
The length of the rectangle is 7 unit.
What is rectangle?A rectangle is a plane shape that has pair of opposite sides equal.
To calculate the length of the rectangle, we use the formula below
Formula:
A = LW............ Equation 1Where:
A = Area of the rectangleL = Length of the rectangleW = Width of the rectangleFrom the question,
Assuming the width of the rectangle is y unit
A = 56 unitL = (y+1) unitW = y unitSubstitute these values into equation 1
56 = y(y+1)56 = y²+ySolving the quadratic equation,
y = +7 or y = -8Since length can not be negative,
y = 7 unit.Hence The length of the rectangle is 7 unit.
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Danielle owes $47.25 for text messaging in the month of June. If her text messaging plan costs $6 for the first 600 messages and 25¢ for each additional text message.
how many text messages did she send that month?
Answer:
1002
Step-by-step explanation:
Answer:
165 additional messages
Step-by-step explanation:
$47.25 - $6.00 for 600 messages and 0.25/each additional message= $47.25-$6.00=41.25/0.25 per message =165 additional messages for a total of 765
A grocery store sells sliced turkey. the graph show shows the relationship between the weight of the sliced turkey and the total cost of the sliced turkey
Answer:
I think it is option C :>
patrick had 1\6 package of cookies he split it with his two how much of the package did each brother get
Step-by-step explanation:
Answer:
2/6
Step-by-step explanation:
What is the slope of y = -1+ 3.x?
Answer:
The slope is 3.
Step-by-step explanation:
y=-1+3x
y=3x-1
y=mx+b where m=slope and b=y-intercept
Steven has 9 gold coins that are identical in appearance. However, one coin is counterfeit and weighs slightly less than the others. Using a balance scale, how can he find the counterfeit coin in just two weighings?
Answer:
Split the coins into three groups, A, B and C consisting of 3 coins in each group.
Weigh: A--B
1. If A=B, the the counterfeit is in group C
Weigh any two coins in group C and figure out the rest.
2. If A≠B, then the counterfeit is in the lighter group.
Weigh any two coins in the lighter group and figure out the rest.
Steven can find the counterfeit coin in just two weighings by dividing the 9 coins into 3 groups and using the balance scale.
Explanation:Steven can find the counterfeit coin in two weighing by following these steps:
Divide the 9 coins into 3 groups of 3 coins each. Weigh the two groups of 3 coins on the balance scale. If the two groups balance, the counterfeit coin is in the third group. Weigh two of the coins from this group on the scale.If one of the coins is lighter, it is a counterfeit coin. If the scale balances, the remaining coin is the counterfeit.By dividing the coins into three groups, Steven eliminates two-thirds of the coins after the first weighing and then narrows it down to just two coins in the second weighing.
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mr wood's monthly expenses was $2.125 after he had reduced it by 15 %the oroginal monthoy expenses was 80% of his monthly income
find the original monthly expenses
Answer:
$2.50
Step-by-step explanation:
Let the original monthly expenses be 'x'.
Given:
Reduced monthly expenses = $2.125
Reduction in monthly expenses = 15%
Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%
Now, as per question:
[tex]85\%\ of\ x=2.125\\\frac{85}{100}\times x=2.125\\0.85x=2.125\\x=\frac{2.125}{0.85}=\$2.50[/tex]
Therefore, the original monthly expenses of Mr. Wood was $2.50.
Also, we can find his monthly income using the value of 'x'.
As per question, his monthly expenses is 80% of his income.
So, 80% of income = 2.5
Income = [tex]\frac{2.5}{0.80}=\$3.125[/tex]
So, his monthly income is $ 3.125
i’m confused can someone get me the answer
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. Find each temperature. Show your work.
If it continues to fall at this rate, what will the temperature be:
in 2 hours? _______ in 5 hours? _______ in half an hour? _______
Answer:
in 2hrs = -6°C
in 5hrs = -15°C
in half an hr = -1.5°C
Step-by-step explanation:
in an hr, the temperature falls by 3°C = 0 -3 = -3°C
in 2hrs = 2*-3°C = -6°C
in 5hrs = 5*-3°C = -15°C
in half an hr = 0.5 * -3°C = -1.5°C
The required continues to fall at this rate of the temperature in 2 hours -6°C ,5hours in -15°C and in half an hour -1.5°C.
Given that,
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour.
We have to find,
If it continues to fall at this rate, what will the temperature be in 2 hours 5 hours and in half an hour.
According to the question,
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour.
In an hour the temperature falls by 3°C = 0 - 3 = -3°C
The temperature fall in 2hrs = (2)(-3°C) = -6°C
The temperature fall in 5hrs = (5)(-3°C) = -15°C
The temperature fall in half an hour = (0.5)(-3°C) = -1.5°C
Hence, The required continues to fall at this rate of the temperature in 2 hours -6°C ,5hours in -15°C and in half an hour -1.5°C.
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Let f(x) = - 3x-1, h(x) = - X+3.
Find (f o h)(4).
To find (f o h)(4), substitute h(4) into f(x) and evaluate the expression.
Explanation:To find (f o h)(4), we need to first find h(4) and then substitute that value into f(x). Let's start by finding h(4).
h(x) = - x + 3
h(4) = -4 + 3 = -1
Now, we substitute h(4) into f(x).
f(x) = -3x - 1
f(h(4)) = f(-1) = -3(-1) - 1 = 2
Therefore, (f o h)(4) = 2.
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Michelle's heart rate is 12 beats every 10 seconds. What is her heart rate in beats per MINUTE (bpm)?
A
22 bpm
B
62 bpm
C
72 bpm
D
120 bpm
Answer: 72
Step-by-step explanation: Simple, how many seconds are in a minute? 60. How do you get from 10 to 60? Multiply by 6. Then you take the beats every 10 seconds (12) and multiply by 6 (What it took to get from 10 to 60) to get 72.
A ball is thrown directly upward from a height of 7 feet with an initial velocity of 50 ft./s use the quadratic formula to find the number of seconds it takes the ball to hit the ground
Answer:
The time taken by ball to hit the ground is 5.10 seconds .
Step-by-step explanation:
Given as :
The height cover by ball to move upward = 7 feet
The initial velocity = u = 50 feet per sec
Let the time taken by ball to hit the ground = t sec
Let the deacceleration rate = - 9.8 m/s²
The final velocity of the ball = v= 0 at the top
So, From equation
v = u + at
I.e v = u + a × t
Or, 0 = 50 + ( - 9.8) × t
Or, 9.8 t = 50
∴ t = [tex]\frac{50}{9.8}[/tex]
I.e t = 5.10 seconds
So, time taken = 5.10 sec
Hence The time taken by ball to hit the ground is 5.10 seconds . Answer
negative 8 minus the product of three and a number is 19
Answer:
The number is -9.
Step-by-step explanation:
I set it up like this:
(-8) - 3x = 19
Then you add 8 to both sides of the equation in order to get rid of the negative 8.
(-8) + 8 - 3x = 19 + 8
After solving you would end up with this:
- 3x = 27
Then, you need to get the x by itself, so you divide by -3. In order to keep the equation equal though, you need to also divide the right side of the equation by -3.
- 3x ÷ -3 = 27 ÷ -3
Your final answer after solving would be:
x = -9
Please help!!!!!!!!!!!!
Turn percentage into a decimal.
3% = 0.03
Multiply.
40,400 * 0.03 = 1,212
Subtract.
40,400 - 1,212 = $39,188
_______
Alice earned $39,188 last year.
_______
Best Regards,
Wolfyy :)
Answer:
The correct answer is 39,188.
Step-by-step explanation:
Alice Swanson's current earnings for this year are 40,400. Her earnings were 3% less than this last year. To find her earnings for last year, we will use the "Percent • Whole = Part" formula. But first, we must put 3% into a decimal form: 3 ÷ 100 = 0.03. Now let's solve:
40,400 • 0.03 = 1,212
1,212 is 3% of 40,400. To find Alice's earnings for last year, we will subtract her raise from her current earnings:
40,400 - 1,212 = 39,188
Hope this helps,
♥A.W.E.S.W.A.N.♥
30 POINTS!!! Calculate the percent increase or decrease between the starting and ending quantities below. Round your answer to one decimal place.
1) Start: 3 End: 10
2) Start: 9 End: 20
3) Start: 100 End: 85
1) There is 233.33% increase in the quantity.
2) There is 122.22% increase in the quantity.
3) There is 15% decrease in the quantity.
Step-by-step explanation:
1) Start: 3 End: 10
Change = End - Start
Change = [tex]10-3=7[/tex]
As the change is positive, therefore, it shows an increase
Percent increase = [tex]\frac{Change}{Start}*100[/tex]
Percent increase = [tex]\frac{7}{3}*100 = 233.33\%[/tex]
There is 233.33% increase in the quantity.
2) Start: 9 End: 20
Change = [tex]20-9=11[/tex]
As the change is positive, it shows an increase.
Percent increase = [tex]\frac{Change}{Start}*100[/tex]
Percent increase = [tex]\frac{11}{9}*100 = 122.22\%[/tex]
There is 122.22% increase in the quantity.
3) Start: 100 End: 85
Change = 85-100 = -15
Negative sign shows that it is a decrease in quantity.
Percent decrease = [tex]\frac{Change}{Start}*100[/tex]
Percent decrease = [tex]\frac{15}{100}*100 = 15\%[/tex]
There is 15% decrease in the quantity.
Keywords: Percentage, increase
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Answer:
1. 233.333%
2.122.2%
3.-12%
Step-by-step explanation: Hopes this helps you :)
Which figure shows the correct dimensions of a 1/3 scale drawing of the given figure?
Answer:
10 on top the rectangle and 4 on the left thats the answer , the girl who commented helped me out alot all i did was divide 3 times 30 and 3 times 12
Step-by-step explanation:
Answer:
10 on the top of the square and 4 on the side
Step-by-step explanation:
How many ml of 1:4 solution and how many ml of sterile water are needed to prepare 600 ml of 1:20 solution ?
Answer:
Approximately 143 mL of 1:4 solution and 457 mL of water
Step-by-step explanation:
A 1:4 solution has a concentration of 1/(1+4) = 1/5 or 20%.
Similarly, a 1:20 solution has a concentration of 1/(1+20) = 1/21 or 4.76%.
If x is the mL of 20% solution and y is the mL of water, then:
x + y = 600
1/5 x = 1/21 (600)
Solve:
x = 5/21 (600)
x ≈ 143
y ≈ 457
You need approximately 143 mL of 1:4 solution and 457 mL of water.
solve 5(x/2+3)=35 what is the answer
Answer:
x=8
Step-by-step explanation:
5(x/2+3)=35
x/2+3=35/5
x/2+3=7
x/2=7-3
x/2=4
x=4*2
x=8
Answer:
x=8
Step-by-step explanation:
Divide both sides of the equation by 5 to get (x/2) + 3 = 7, then subtract 3 from each side to get x/2 = 4; finally multiply both sides by 2 to get x = 8
estimate the line of best fit using two points on the line.
Answer:
A. y = [tex]-\frac{2}{3}[/tex] x + 12
Step-by-step explanation:
Given the two points:
A = (x1, y1) = (6, 8)
B = (x2, y2) = (9. 6)
From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.
We have the standard form of a linear equation is:
y = mx + bwhere m is the slope and b is the y-intercept
To find the slope, we use the following formula:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
<=> m = [tex]\frac{6-8}{9-6}[/tex] = [tex]-\frac{2}{3}[/tex]
Substitute m into the standard equation, we have:
y = [tex]-\frac{2}{3}[/tex] + b (1)Because the line go through point A, so we substitute A into (1), we have:
8 = [tex]-\frac{2}{3}[/tex] *6 + b
<=> b = 12
So our equation is: y = [tex]-\frac{2}{3}[/tex] x + 12
Answer: y=-2/3x+12
Step-by-step explanation:
60% of the work is done in 17 minutes, 40% of the same work, when is done (in minutes)?
Answer:
It would be 11.333 minutes
Step-by-step explanation:
I solved this by setting up a cross multiplication.
60%/17 so then 40/x.
Then here cross multiplying. 60x=680. divide by 60 and x would = 11.33
3) The equation 41.44=k7 shows that buying 7 bags of apples
would cost 41.44 dollars. How much is it for one bag?
Answer:
k = $41.44/7 bags = $5.92/bag
The cost of one bag of apples is 5.92 dollars.
To find the cost of one bag of apples, we can divide the total cost by the number of bags.
Given the equation [tex]\(41.44 = 7k\)[/tex], where [tex]\(k\)[/tex] represents the cost of one bag, we can solve for [tex]\(k\)[/tex] by dividing both sides of the equation by 7:
[tex]\[ k = \frac{41.44}{7} \][/tex]
Calculating:
[tex]\[ k = \frac{41.44}{7} = 5.92 \][/tex]
30 POINTS 7TH GRADE MATH! There are 15 girls in your class this year. That is a 15% increase from last year.
a. Write a proportion to solve for the number of girls in the class last year.
Solve the proportion in part (a).
Answer:
13 grls in ur class
Step-by-step explanation:
15*115%=17
17-15=2
25-2=13
Hope tht this helps :)
a)The proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15.
b)The value of x obtained after solving the proportion is 13.043.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that there are 15 girls in your class this year and there is a 15% increment from last year.
Suppose x is the number of girls in the class last year,
⇒15 = 15 % of x + x
⇒(15-x)/x = 0.15
Solving the above equation for finding the value of x,
15 - x = 0.15 x
15 = 0.15 x + x
15 = 1.15 x
x =15 / 1.15
x=13.043
Thus, the proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15, and the value of x obtained after solving the proportion is 13.043.
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If P(x)=6x^3=13x^2+x-2, and P(-2)=0, then the factorization of P(x) is
Answer:
Factorization of [tex]P(x)=(x+2)(2x+1)(3x-1)[/tex]
Step-by-step explanation:
Given:
The given polynomial is [tex]P(x)=6x^3+13x^2+x-2[/tex]
Also, [tex]P(-2)=0[/tex]
Since, for [tex]x=-2[/tex], [tex]P(x)[/tex] is 0, therefore, [tex]x+2[/tex] is a factor of the polynomial.
Now, let us divide the given polynomial by [tex]x+2[/tex] using long division method. Therefore,
[tex]\frac{6x^3+13x^2+x-2}{x+2}=6x^2+x-1[/tex]
The process of long division is shown below.
Now, factoring the quotient [tex]6x^2+x-1[/tex], we get
[tex]6x^2+x-1=6x^2+3x-2x-1=3x(2x+1)-1(2x+1)=(3x-1)(2x+1)[/tex]
Therefore, the factors of polynomial [tex]P(x)[/tex] are [tex](x+2),(2x+1),\ and\ (3x-1)[/tex]
Hence, the factorization of [tex]P(x)[/tex] is:
[tex]P(x)=(x+2)(2x+1)(3x-1)[/tex]
Scott drove 871 miles in 13 hours. At the same rate, how long would it take him to drive 469 miles?
871 miles ........... 13 hours
469 miles ............x hours
x = 469×13/871 = 7 hours
1. You have two cards with a sum of (-12) in your hand.
a. What two cards could you have?
Answer:
The required cards can be -6 and -6.
Step-by-step explanation:
Consider the provided integer -12.
We need to find the two cards whose sum is -12.
There are lots of choices for the two cards whose sum is -12.
Few choices are:
If we first card is -6 and the second card is also -6 then the sum will be -12:
[tex]-6-6=-12[/tex]
If we first card is -4 and the second card is -8 then the sum will be -12:
[tex]-4-8=-12[/tex]
If we first card is -10 and the second card is -2 then the sum will be -12:
[tex]-10-2=-12[/tex]
Thus, the required cards can be -6 and -6.
Please can someone help me answer this question attached.
Answer:
see the explanation
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
step 1
Find the measure of angle BDA
we know that
Triangle ABD is an isosceles triangle
AB=AD ---> given problem
so
m∠ABD=m∠BDA
therefore
m∠BDA=72°
step 2
Find the measure of angle BAD
Remember that the sum of the interior angle in a triangle must be equal to 180 degrees
In the triangle BDA
m∠ABD+m∠BDA+m∠BAD=180°
substitute the given values
72°+72°+m∠BAD=180°
144°+m∠BAD=180°
m∠BAD=180°-144°=36°
step 3
Find the measure of angle BCA
In the triangle ABC
m∠BCA=m∠BAC
we have that
m∠BAC=m∠BAD=36°
therefore
m∠BCA=36°
step 4
Find the measure of angle ABC
In the triangle ABC
m∠BAC+m∠BCA+m∠ABC=180°
substitute the given values
36°+36°+m∠ABC=180°
72°+m∠ABC=180°
m∠ABC=180°-72°=108°
step 5
Find the measure of angle DBC
we know that
m∠DBC+m∠ABD=m∠ABC ----> by addition angle postulate
substitute the given values
m∠DBC+72°=108°
m∠DBC=108°-72°=36°
step 6
Find the measure of angle BDC
we know that
m∠BDC+m∠ADB=180° ----> by supplementary angles
substitute the given value
m∠BDC+72°=180°
m∠BDC=180°-72°=108°
step 7
In the triangle DBC we have
m∠DBC=36°
m∠BCD=m∠BCA=36°
so
The triangle BCD has two equal angles
therefore
Triangle BCD is an isosceles triangle
and
BD=BC
Emily took 39 minutes to bike the biking section of a race. It then took her 9 minutes per mile to run the running section of the race. She represented this with the equation t= 39+9m, where t represents the total time she was racing in minutes and m represents the number of miles she ran in the running section. What is the slope and the y-intercept of this data
Answer:
Slope=9, y-intercept= 39
Step-by-step explanation:
The equation is already in y=mx+b form, where m is the slope and b is the y-intercept
(rearrange positions of 9m and 39 to get t=9m + 39)
So, the slope is 9 and the y-intercept is 39
Write the percent as a decimal. 122%
Answer:
1.22
its obvious, lets say 100% of 1 is 1. 22% of 1 is 0.22. 1+0.22=1.22
The percent 122% as a decimal will be 1.22.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
The expression is given below.
⇒ 122%
Then the percent 122% as a decimal will be
⇒ 122 / 100
⇒ 1.22
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Find the solution(s) to 9x2 - 54x = 0. Check all that apply.
The solutions to the equation 9x^2 - 54x = 0 are x = 0 and x = 6, found by factoring and setting each factor equal to zero.
To find the solution(s) to the equation 9x2 - 54x = 0, we can start by factoring out the greatest common factor, which is 9x. This gives us:
9x(x - 6) = 0
Now, we set each factor equal to zero:
9x = 0x - 6 = 0From the first equation, we divide by 9 to isolate x:
x = 0
From the second equation, we add 6 to both sides:
x = 6
Thus, the solutions to the equation are:
x = 0x = 6A description of what Derek did wrong and what he should have done instead the correct solution graphed on a number line
Answer:
Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by - 3.
Step-by-step explanation:
We are going to solve an equation of inequality of single variable x.
We will start with, -3x + 5 > 20
⇒ -3x + 5 - 5 > 20 - 5
⇒ - 3x > 15
⇒ [tex]\frac{-3x}{-3} < \frac{15}{-3}[/tex]
⇒ x < - 5
Therefore, while dividing both side terms by -3, the inequality sign will change from > to < sign.
So, Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by a negative number. (Answer)