It would be 6,582 more miles to travel to Jakarta than it would to travel to London.
Hope this helps :)
m/6=21 What is the inverse operation and properties of equality to isolate the variable.
The ratio of the length to the height of the American flag is 3:2. If the length of the American flag is 1.8 yards, what is the height?
27:10
1/8 equals 9/5
3/2*9/5=27/10
To find the height of the American flag, convert the known length from yards to feet, use the given ratio to set up a proportion, solve it to find the height in feet, and then convert it back to yards, resulting in a height of 1.2 yards.
The ratio of the length to the height of the American flag is given as 3:2. Knowing that the length of the flag is 1.8 yards, we can set up a proportion to find the height. Since we know that 1 yard equals 3 feet, we first convert the length into feet. 1.8 yards is equivalent to [tex]1.8 imes 3 = 5.4 feet[/tex]. Using the ratio 3:2, we can write the proportion as 3/2 = 5.4/height in feet. To solve for the height, we cross-multiply and [tex]get 2 imes 5.4 = 3 imes height,[/tex] yielding 10.8 = 3 imes height. Dividing both sides by 3 gives us the height as 3.6 feet. To convert feet back to yards, we recall that 3 feet equal 1 yard, and hence, 3.6 feet is 1.2 yards. Therefore, the height of the American flag is 1.2 yards.
Which of the following equations represents the line that passes throught the points (2, -6) and (-4,3)?
First, find the slope of the line that goes through the 2 given points, which you should know how to do. Call it m. Then a perpendicular line must have a slope of -1/m. The slope-intercept form of the equation you seek is
y = (-1/m)x + b,
where b is any real number. Examine the list of choices, and pick any that have a slope of -1/m.
The equation that represents the line that passes through the points (2, -6) and (-4,3) is 2y + 3x = -6.
How to find the equations represent the line that passes through the points (2, -6) and (-4,3)?The equation of the line that passes through the points (x1,y1) and (x2,y2) can be obtained with the formula:
[tex]y-y_1 = m (x-x_1)[/tex]
The slope of the points are
[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]
We need to find the equation that represents the line that passes through the points (2, -6) and (-4,3)
[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]
[tex]m=\dfrac{3+6}{-4-2}\\\\\\ m = 9/-6 = -3/2\\[/tex]
So, the equation is:
[tex]y-y_1 = m (x-x_1)\\\\y +6 = -3/2(x -2)\\\\2y +12 = -3x +6\\\\2y + 3x = -6[/tex]
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what is negative 19 minus 12
Round 32,879 to the nearest thousand and use a number line to model your thinking
Solution
The given number is 32, 897
Here we need to round the thousand place.
Find the number in the thousands place.
We have 2 in the thousands place.
Look for digit which is right to 2.
We have 8, which is greater than 5, if we have the number greater than 5 we have to add 1 with thousands place and make the other numbers zeros.
Since we have 8 right to the number 2, so we add 1 with 2.
2 + 1 = 3
Now thousands place became 3 and make other digits zero.
32, 879 = 33, 000
The answer is 33,000
Note: Here I have attached the place value chart.
A survey of sports fans reveals that 49 say their favorite sport is football, 35 say their favorite sport is baseball, 11 say their favorite sport is basketball, and 5 say their favorite sport is hockey. What is the ratio of football fans to hockey fans?
A. 35 to 11
B. 49 to 16
C. 35 to 5
D. 49 to 5
Answer:
49:5
Explanation
Write the quantity of fans in the order of which you are doing the ratio for (TIP - Replace the word "to" with ":") = Football Fans : Hockey Fans = 49:5
The correct ratio of football fans to hockey fans is 49:5 according to the survey results provided, which makes the answer D. 49 to 5.
The survey of sports fans revealed different preferences for various sports. The question asks for the ratio of football fans to hockey fans. According to the survey results provided, 49 people say their favorite sport is football and 5 say it's hockey. Therefore, the ratio of football fans to hockey fans is simply the number of football fans divided by the number of hockey fans.
The calculation would be 49 football fans divided by 5 hockey fans, which simplifies to a ratio of 49:5. Hence, the correct answer is D. 49 to 5. This ratio signifies that for every 5 hockey fans, there are 49 football fans based on the survey results.
Which equation can you use to evaluate log 1/3^27
To evaluate [tex]\log _{\frac{1}{3}}27[/tex] note that:
[tex]\dfrac{1}{3}=3^{-1};[/tex][tex]27=3^3.[/tex]Use following properties:
1) [tex]\log_ab^k=k\log_ab;[/tex]
2) [tex]\log_{a^k}b=\dfrac{1}{k}\log_ab.[/tex]
Then
[tex]\log _{\frac{1}{3}}27=\log_{3^{-1}}3^3=3\log_{3^{-1}}3=3\cdot \dfrac{1}{-1}\log_33=-3\log_33.[/tex]
Since [tex]\log_aa=1,[/tex] you have
[tex]\log _{\frac{1}{3}}27=-3.[/tex]
Answer:
a on edge
Step-by-step explanation:
what is the product of -2 1/2 and -3 1/2
The answer to your problem is -6
A plus catering services typically plans on making 5 meals more than what the client has purchased in order to be sure they have enough food. This cost is passed onto the client. Each meal cost the client $17.
Which expression below describes the total amount of money charged to the client for any number of meals purchased.
A. (17 +5)x
B. 17(x + 5)
C. 17x + 5
D. 17 + 5x
b. is the answer if u need to know how just ask me
What is the square root of 25/81??
5/9, when square rooting fractions like these, you square root them seperatly. Square root of 25 is 5 and square root of 81 is 9.
Solve for a
[[tex] \frac{a+2}{3} = \frac{a-4}{6} [/tex]
A town has accumulated 3 inches of snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 8 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal
It will take approximately 1.25 hours for the snowfall of the two towns to be equal.
Explanation:To find the number of hours in which the snowfall of the two towns will be equal, we can set up an equation: 3 + 6h = 8 + 2h
where h represents the number of hours.
Simplifying the equation, we get 4h = 5
Dividing both sides by 4, we find h = 5/4 = 1.25 hours.
Therefore, it will take approximately 1.25 hours for the snowfall of the two towns to be equal.
Divide. 1.74÷(−0.06)
Answer:
- 29
Step-by-step explanation:
Multiply numerator and denominator by 100. It isn't necessary, but it makes the problem easier to see.
174 / (-6)
Put into your calculator like this
174
÷
(-)
6
=
And the answer comes out as - 29
Why is a coordinate plane useful for graphing locations? Why is it useful as a map?
I need help plzz!! Just box number 4, TY
12.36% I think sorry if its wrong ;-;
Ms. Edwards is redecorating her office. She has a choice of 8 colors of paint, 5 kinds of curtains, and 6 colors of carpet. How many different ways are there to redecorate? A.240 B.19 C.297 D.357
Please hurry
What is the best approximation of the root of 51?
A. 5.9
B. 5.3
C. 9.2
D. 7.1
Hello!
To look for squareroots, we need to find a solution for us that can help us solve the problem.
The most common way to solve for a squareroot is by factoring.
If this case, we can see that D. 7.1 is the closest approximation to the root of 51.
in parallelogram ABCD, AC is diagonal, the measure <ABC is 40°, and the measure of <ACD IS 57°. what is the measure of <CAD?
Answer: [tex]\angle CAD = 83^\circ [/tex] Option D
Step-by-step explanation:
In this question we use properties of parallelogram and angle sum property of a triangle.
In parallelogram ABCD
[tex] \angle ABC=40^\circ [/tex]
As, we know that opposite angles of parallelogram are equal
Therefore,
[tex] \angle ABC =\angle ADC =40^\circ [/tex]
Now, in triangle ADC
We know that sum of all the angles of a triangle is [tex]=180^\circ[/tex]
[tex]\angle ACD +\angle ADC +\angle DAC =180^\circ[/tex]
[tex]57^\circ +40^\circ +\angle DAC =180^\circ[/tex]
[tex]97^\circ + \angle DAC = 180^\circ [/tex]
Subtracting 97 from both sides we get
[tex] \angle DAC = 180^\circ - 97^\circ [/tex]
[tex] \angle DAC = 83^\circ [/tex]
Measure of [tex]\angle CAD = 83^\circ [/tex]
In a parallelogram, the measure of angle CAD can be found by subtracting the measure of angle ACD from 180°.
Explanation:In parallelogram ABCD, we have AC as the diagonal. Given that angle ABC is 40° and angle ACD is 57°, we need to find the measure of angle CAD.
In a parallelogram, opposite angles are congruent. So, angle ACD is also equal to 57°.
Now, angle CAD can be found by subtracting angle ACD from 180° (since the sum of the interior angles of a triangle is 180°). So, angle CAD = 180° - 57° = 123°.
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Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number?
Answer:
10,12,14
Step-by-step explanation:
Two consecutive integers will have difference of 2.
Let 3 consecutive even integers be a-2, a, a+2
Smallest number = a-2 and middle number = a
Sum of the smallest number and twice the middle number
= a-2+2a =3a-2
20 more than the largest number = 20+a+2 =a+22
i.e. 3a-2 = a+22
2a = 24
Or a =12
Hence three integers even consecutive are 12-2, 12, 12+2
=10,12,14
HELP ASAP!! one qustion
15 POINTS!!!!!
the value of n is 4 because you have to subtract 7n from both sides and then subtract 16 from both sides then the last step is to divide -4 from both sides and you get 4
Answer:
4
Step-by-step explanation:
3n + 16 = 7n is to be solved for n. Subtract 3n from both sides, obtaining 16 = 4n.
Now divide both sides by 4, obtaining n = 4.
Help quickly limited time 20 points!!!!!!!!!
Which of the following equations has the given solution set?
Solution set: Ø
-2m + 5 = 2m + 5
-2m + 5 = -2m + 5
-2m + 5 = -2m - 5
So,
-2m+5=-2m-5
-2m + 2m = -5 - 5
0 = -10
which is no solution.
Therefore, the required equation is -2m + 5 = -2m - 5.
Find the product, -7/9 × 3/5, -2/5 × -1 1/4, 1 3/4 × -1 1/4, 1 3/4 × -3/4, -7/8 × -1 3/7, answer all please and thank you
First one
[tex]\frac{-7}{9} \times \frac{3}{5}[/tex]
We cancel out common factors before multiplying out.
[tex]=\frac{-7}{3} \times \frac{1}{5}[/tex]
[tex]=\frac{-7\times 1}{3\times 5}[/tex]
[tex]=\frac{-7}{15}[/tex]
Second Question
[tex]=\frac{-2}{5} \times -1\frac{1}{4}[/tex]
We need to change the mixed numbers to improper fraction first.
[tex]=\frac{-2}{5} \times \frac{-5}{4}[/tex]
We now cancel out common factors.
[tex]=\frac{-1}{1} \times \frac{-1}{2}[/tex]
We multiply out now to obtain,
[tex]=\frac{-1\times -1}{1 \times 2}[/tex]
[tex]=\frac{1}{2}[/tex]
Third Question
[tex]=1\frac{3}{4} \times -1\frac{1}{4}[/tex]
We need to change the mixed numbers to improper fraction first.
[tex]=\frac{7}{4} \times \frac{-5}{4}[/tex]
[tex]=\frac{7 \times -5}{4\times 4}[/tex]
[tex]=\frac{-35}{16}[/tex]
[tex]=-2\frac{3}{16}[/tex]
Fourth Question
[tex]=1\frac{3}{4} \times \frac{-3}{4}[/tex]
[tex]=\frac{7}{4} \times \frac{-3}{4}[/tex]
[tex]=\frac{7\times -3}{4\times 4}[/tex]
[tex]=\frac{-21}{16}[/tex]
[tex]=-1\frac{5}{16}[/tex]
Fifth Question
[tex]=-\frac{7}{8} \times -1\frac{3}{7}[/tex]
[tex]=-\frac{7}{8} \times \frac{-10}{7}[/tex]
[tex]=-\frac{1}{8} \times \frac{-10}{1}[/tex]
[tex]=\frac{10}{8} [/tex]
[tex]=\frac{5}{4} [/tex]
[tex]=1\frac{1}{4} [/tex]
800,00 rounded to the nearest hundred thousand
It is 80,000 im not sure what you meant by "800,00"
Grandview Golf makes wooden golf tees. in 2010 they made 380,285 tees. in 2011 they made 513,525 tees. to the nearest ten thousand how many tees did they make in the two years
Answer:
They made 890,000 tees.
Step-by-step explanation:
You have the following information given in the problem above:
- In 2010 they made 380,285 tees.
- In 2011 they made 513,525 tees.
2. Therefore, to calculate the amount of tees made by them in the two years, you only need to add the amount of tees they made in 2010 and 2011, as following:
[tex]380,285+513,525=893,810[/tex] tees
3. To the nearest ten thousand: 890,000 tees.
Solve for x.
x+15.09=−2.57
x+15.09= -2.57
x= -17.66
If you want the value of x: you would have to subtract -15.09 on both sides.
x+15.09-15.09=-2.57-15.09
x=-17.66
Plzzzz I NEED help with 9 and 10 plzzzzz
Question 9:
[tex]\frac{20*(5)}{50}[/tex] Simplify what is in the parenthesis
[tex]\frac{100}{50}[/tex] Multiply 20 to 5
[tex]2[/tex] Divide 50 to 100
*(Answer)*= [tex]2[/tex]
Question 10:
[tex]5+(18)[/tex] ÷ [tex]6[/tex] Simplify what is in the parenthesis
[tex]5+3[/tex] Divide 6 to 18
[tex]8[/tex] Add 5 to 3
*(Answer)*= 8
Hope this helps
User who answered: BangtanBoyScouts
Find dy/dx for the function y+4x²
[tex]\dfrac{\partial }{\partial x}(y+4x^2)=0+8x=8x[/tex]
John has 28 apples he eats 6 how many apples does he have left
22. 28 minus(eats) 6 is 22.
I need some help on this show all work
[tex]QS=TV\\\\3v+2=7v-6\\\\4v=8\\\\v=2\\\\QS=TV=3\cdot2+2=8\\[/tex]
Jayson earns 196 each week bagging groceries at the store he saved half of his earning each week how much money does jayson save per week
He saves $96, The Equation I did for this is 196 Divided by 2