Answers
Answer:
x = 6 units
Step-by-step explanation:
By geometric mean property:
[tex]x = \sqrt{9 \times 4} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: units[/tex]
Related Questions
Find the distance between the point A(-4,3) and B(1,6)
Answers
Answer:
The distance would be (5,-3)
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse?
Answers
Answer: I need to find the additive inverse of the number being su tracked. That number is -9.6. The additive inverse of -9.6 is 9.6.
Step-by-step explanation:
Answer:
Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.
Example: 5 + (-5) = 0
In this example, (-5) is the additive inverse.
You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.
Example: 7 - 4 = 7 + (-4)
3 = 3
When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.
Step-by-step explanation:
6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Answers
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
[tex]C = 42[/tex]
[tex]L= 126[/tex]
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
[tex]42 = 2^1 * 3^1 * 7^1[/tex]
[tex]126 = 2^1 * 3^2 * 7^1[/tex]
Hence, the GCF is
[tex]GCF = 2^1 * 3^1 * 7^1[/tex]
[tex]GCF = 42[/tex]
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
[tex]Treats = \frac{C}{GCF}[/tex]
[tex]Treats = \frac{42}{42}[/tex]
[tex]Treats = 1[/tex]
For L:
[tex]Treats = \frac{L}{GCF}[/tex]
[tex]Treats = \frac{126}{42}[/tex]
[tex]Treats = 3[/tex]
Hence, 1 candy bar and 3 lollipops
13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?
Answers
Answer:the number is 8
Step-by-step explanation:
Step 1
Let x be the number 13 was subtracted from so that the difference becomes x-13
i. dividing the resulting difference by 5, then (x-13)/5
ii. Multiplying the quotient by 7 makes the expression become (x-13)/5 x 7
with the product coming to -7 we have our final equation as
(x-13)/5 x 7 = -7
Step 2 -----solving the equation
(x-13)/5 x 7 = -7
Ist divide both sides by 7,
(x-13)/5 =-1
cross multiplying gives
x-13=-5
x= -5+ 13
x=8
the number is 8
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2
Answers
Good luck tho
How can we use ratios and proportional relationships to help us in our daily lives?
Answers
Answer:
In cooking (recipes).
Step-by-step explanation:
If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.
A water tank already contains 55 gallons of water when John begins to fillet water flows into the tank at a rate of 8 gallons per minute write a linear equation to model the situation find the volume of the water tank in 25 minutes after John begins filling the tank.
Answers
Answer:
y= 8x + 55
After 25 minutes the tank will have 255 gallons
Step-by-step explanation:
a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?
Answers
Answer:
er n4356463
Step-by-step explanation:
100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.
Answers
Answer:
B
Step-by-step explanation:
The total change in position is represented by a number with a magnitude of 155 feet.
Hope this helps!
xoxo,
cafeology
Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $11 per pound and Fuji beans cost $7.50 per pound. He mixed a total of 23 pounds of coffee beans and spent a total of $197.
Write a system of equations that can be used to determine how many pounds of Kona and Fuji beans Kwamee bought.
Solve the system of equations to determine how many pounds of Kona and Fuji beans Kwamee bought.
*Show both the equations and the solution.
Answers
K + F = 23
Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
11K + 7.50F = 197
Those are your 2 equations. It doesn't say you need to solve them, so you're done.
Find the slope of a line that goes through the points (-5,8) and (-7,-5)
Answers
Answer:
[tex]m=\frac{13}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 8)
Point (-7, -5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-13}{-2}[/tex]Simplify: [tex]m=\frac{13}{2}[/tex]Answer:
we will use the equation
(y2-y1)/ (x2-x1)
lets plug in our values
(-5-8)/(-7-(-5)
-13/-2
this answer is your slope value hope this helps
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence.
2, 5, 8, 11, ...
Answers
Answer:
An equation for the nth term of the arithmetic sequence.
[tex]a_n=3n-1[/tex]
Step-by-step explanation:
Given the sequence
2,5,8,11,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
here
a₁ = 2computing the differences of all the adjacent terms
d = 5-2 = 3, d = 8-5=3, d=11-8=3Using the nth term formula
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 2, d = 3
[tex]a_n=2+\left(n-1\right)3[/tex]
[tex]=2+3n-3[/tex]
[tex]=3n-1[/tex]
Thus, an equation for the nth term of the arithmetic sequence.
[tex]a_n=3n-1[/tex]
-x/6 +10 = 11
I need the value for x it’s either
-6 or 6
Answers
Answer:-6
Step-by-step explanation:
use pathway with a m
Find the measures of the angles of a triangle in which one angle is 70°& the other two are in the ratio 3:8.
Answers
Answer:
30° ; 80°
Step-by-step explanation:
Given that :
One angle of a certain triangle = 70°
The other two angles are in the ratio 3 : 8
Recall :
Sum of angles in a triangle = 180°
Number of angles in a triangle = 3
Hence,
Sum of the other two angles + 70 = 180
Hence, sum of the other two angles = (180 - 70)°
Sum of other two angles = 110°
The angle is in the ratio 3:8
Hence,
(3 / (3 +8)) * 110
= 3/11 * 110
= 330 / 11
= 30°
(8 / (3 +8)) * 110
= 8/11 * 110
= 880 / 11
= 80°
Hence ; 30° ; 80°
Given f(x)=7x+12 and Domain={3,6,9} find Range
{21,42,63}
{9,6,3}
{33,54,75}
{19,26,33}
Answers
Answer:
the answer is the 3rd option
range = { 33, 54, 75 }
You know the length and the width of a scale model. What additional information do you need to know to find the scale of the model? The options are... A. The width or height of the actual item B. The length or width of the actual item C. The height or width of the actual item D. The depth or height of the actual item and how would I explain my reasoning depending on the answer?
Answers
Answer:
B; The length or width of the actual item
Step-by-step explanation:
In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item
By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other
This means that we compare the length of the scale model and the length of the actual item
Then the width of the scale model and the width of the actual item
If an object on earth weighs 42 lbs, what is its weight on the moon?
Answers
Answer:
6.93 lbs.
Step-by-step explanation:
The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.
I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.
Hope this helps! :)
If 3 tan A =cot A and A is an acute angle find angle A
Please, I need detailed explaination
Answers
Answer:
A is 30 degrees.
Step-by-step explanation:
cot A = 1/ tan A
Therefore 3 tan A = 1 / tan A
3 tan^2 A = 1
tan^2 A = 1/3
tan A = 1 /√3 is A is acute.
A = 30 degrees.
This is about trigonometric identities.
A = 30°
In trigonometric identities, we know that;Tan A = sin A/cos A
Cosec A = 1/sin A
Sec A = 1/cos A
Cot A = 1/tan A
Now, we are given;3 tan A = cot A
But we know from above that Cot A = 1/tan A
Thus;
3 tan A = 1/tan A
Rearranging to get;
(tan A)² = 1/3
tan A = √(1/3)
tan A = 1/√3
Now, from surd form of special angles, we know that;sin 30° = cos 60° = 1/2
sin 60° = cos 60° = (√3)/2
sin 45° = cos 45° = 1/√2
tan 30° = 1/√3
tan 60° = √3
tan 45° = 1
Comparing tan A = 1/√3 with the surd forms listed above, we can see that;A = 30°
A is said to be an acute angle which means it is less than 90° and so it is correct.
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3
Andrew plays a card game. In the first round, he gets 4 points.
In the second round, he loses 4 points. The expression 4 +(-4)
represents his score after the two rounds.
-
+
a. Circle the zero pairs in the model.
b. How many points does Andrew have after the second round?
c. What is 4 + (-4)?
Answers
Answer:
A) The 4 and (-4) are 0s.
B) 0 points after the second round
C) 4+(-4) is 0
The 4 and the (-4) are the zero pairs in the model
Andrew has 4 + (-4) = 0 points after the second round.
4 + (-4) = 0
PLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answer
Answers
Hope this helps
what is the equation for the line in slope-intercept form?
enter your answer in the box
Answers
Answer:
It might help u , plz Brain-list it
Step-by-step explanation:
The option is not given but still its clear from the graph
That its slope intercept form will be ,
X=0 (the point where it intersect x axis) and Y=0 (the point where it intersect y axis)
Answer:
y = 8x
Step-by-step explanation:
Hope this helps
(From k12)
how do you rewrite a expression using the base number only once?
ex. 5^(-2)*5^(-4)*5^(8)
Answers
Answer:
5
Step-by-step explanation:
Answer:
Rewrite the expression= 5^2
Step-by-step explanation:
With the same base number of 5, one adds the exponents.
In this case 5^-2*5^-4*5^8 8-6=2 as the exponent
Answer this Question plz and thank you and don’t forget to explain your answer because that’s what I need
Answers
Answer:
decrease
12%
Step-by-step explanation:
the number went down
3.499*0.88=3.097
so 12% decrease in price
How many real and imaginary roots are there?
Answers
Answer:
5
Step-by-step explanation:
can you tell me eve answer for one!!!!!!! you get 30 points
Answers
Answer:
450 litres
Step-by-step explanation:
we know we get 3000 pounds per litres
we also know it takes 20 pounds for 1 litres. hence 3/20 litres per pound
olive oil in one year= 3000*3/20
450 litres
hope it helps
What is the product?
2x(x-4)
O 2x² - 4
O zx²-8
2x?- 4x
2x² – 8x
Answers
Write an equation of the line with a slope of 3 and a y-intercept of -7.
Answers
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=3x-7
Plz help its urgent
Answers
Answer:
what I think this question has mistake
Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?
Answers
Answer:
Line C
Step-by-step explanation:
slope
Answer:line c
Step-by-step explanation:
2)
An Airplane is ascending at a speed of 400 km/hr along a line making an angle of 60' with the
ground. How fast is the altitude of the plane changing?
Answers
Answer:
The altitude is changing at a speed of 200 √3 km/hr
Step-by-step explanation:
Here, we want to know how far the altitude of the plane is changing
we are told that the airplane makes an angle of 60 degrees with the ground
So therefore , the rate of change of its altitude will be ;
sin 60 = x/ 400
x = 400 sin 60
x = 400 * √3/2
x = 200 √3 km/hr
The altitude is increasing at a rate of 346.61 km/hr.
The diagram below denotes the given scenario.
Then from the diagram we have,
[tex]sin60^{\circ}=\frac{y}{z}\\\frac{\sqrt{3}}{2} =\frac{y}{z}\\ y=\sqrt{3}\\z=2[/tex]
Then,
[tex]sin\theta =\frac{y}{z}\\cos\theta \frac{d\theta}{dt}\\=\frac{z\frac{dy}{dt}-y\frac{dz}{dt}}{z^2} \\\frac{dy}{dt}=\frac{z^2cos\theta\frac{d\theta}{dt+y\frac{dz}{dt}}}{z}\\\frac{dy}{dt} =\frac{2^2(cos60^{\circ})+\sqrt{3}(400)}{2}\\ \frac{dy}{dt}=346.41 km/hr[/tex]
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