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Work Shown:
(5 oranges)/(2 dollars) = (20 oranges)/(x dollars)
5/2 = 20/x
5x = 2*20 .... cross multiply
5x = 40
x = 40/5 .... dividing both sides by 5
x = 8
20 oranges cost $8
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Another way to approach the problem is to note that the jump from "5 oranges" to "20 oranges" is "times 4".
5*4 = 20
So we'll apply the "times 4" operation to the old cost of $2 to get the new cost being 2*4 = 8 dollars
Answer:
$8
Step-by-step explanation:
if 5 oranges cost $2 then 1 orange costs 2/5 of a dollar, or 40 cents
20 oranges multiplied by 40 cents is $8
or you can set up a proportion:
2/5 = x/20
cross-multiply to get:
5x = 40
x = 8
Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
f(n) = 4n +7
Is it geometric or arthmetric
Answer:
geomatric
Step-by-step explanation:
Answer:
Arithmetic
Step-by-step explanation:
The difference between terms is constant
A dog is leashed to a point in the center of a large yard, so the area the dog is able to
explore is circular. The leash is 25 feet long. What is the area of the region the dog is able to
explore. Use 3.14 for pi. Round to the nearest tenth if necessary.
Answer:
78.5
Step-by-step explanation:
The radius of the circle is 25 so youu multiply that by 3.14
25*3.14=78.5
A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.
A) 13.0
B) 10.5
C) 1.3
D) 1.05
Answer:
[tex]\text{C. }1.3[/tex]
Step-by-step explanation:
The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].
What we're given:
[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8Substituting given values, we get:
[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
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3(x + 1)2 = 108
Create a list of your steps
Answer: 17
Step-by-step explanation:
3(x+1)2=108
Distribute the 3 first: (3x+3)2=108
Then divide by 2 on both sides: 3x+3= 54
Subtract 3 from both sides: 3x=51
Divide by 3 on both sides: x=17
NOT DRAWN TO SCALE. find x
Drag each label to the correct location on the image.
Here is a multiplication sentence:
(1 × 4) × 2 = 8
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of multiplication.
Answer:
1 x (4 x 2) = 8
Step-by-step explanation:
1 x (4 x 2) = 8
Find the measurement of the missing side in each right triangle.
Answer:
12
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
in this case its
[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]
25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides
[tex]b^{2}[/tex] = 144 take square root of each side
b = 12
Answer:
[tex]12[/tex]
Step-by-step explanation:
----------------------------------------
In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]
So,
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
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Hope this helps.
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Help plsssssssssssss
Answer:
1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5
Step-by-step explanation:
yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6
The total length of 8 bricks is 75cm longer than the total length of 5 bricks. Write an equation and solve it to find the length of each brick.
Answer:
8x = 75 + 5x
where x = length of one brick
25cm
Step-by-step explanation:
Help please I need help
find X
Answer:
[tex]x = 145[/tex]
Step-by-step explanation:
1.Approach
To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.
Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.
It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).
2. Find the measure of two angles in the triangle
The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,
[tex]x+(unknown)=180[/tex]
Solve for unknown,
[tex]unknown = 180 - x[/tex]
One can also state,
[tex]170+(unknown_2)=180[/tex]
Solve for the unknown,
[tex]unknown_2=10[/tex]
3.Find the degree measure of one of the angles in the octagon
The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.
The formula to find the sum of interior angles in a polygon is as follows,
[tex]S=180(n-2)[/tex]
Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,
[tex]S=180(n-2)\\\\S=180(8-2)[/tex]
Simplify,
[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]
Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.
[tex]1080[/tex] ÷ [tex]8 = 135[/tex]
4. Find the measure of the final angle in the triangle
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.
5. Find the meausre of (x)
The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,
[tex](180-x)+(10)+(135)=180[/tex]
Simplify,
[tex]325-x=180[/tex]
Inverse operations,
[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]
which set of values could be the side lengths of a 30-60-90 triangle
Answer:
D. 6, 6[tex]\sqrt{3}[/tex], 12
Step-by-step explanation:
the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]
so,
[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]
If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?
Answer:
the value of increase each time is 1,571.43
Step-by-step explanation:
Given;
original value of the number, A = 1000
final value of the number, N = 12,000
Assuming the number increased equally each time, let the value of increase each time = x
The following linear equation will be obtained to solve for x;
7x + 1000 = 12,000
7x = 12,000 - 1,000
7x = 11,000
x = 11,000/7
x = 1,571.43
Therefore, the value of increase each time is 1,571.43
Write an equation of the line that passes through the points (2, -3) and (1,4).
The area of a swimming pool is 119 square meters. The width of the pool is 7 meters. What is the length of the pool in centimeters?
Answer:
17 meters
Step-by-step explanation:
Area = Length x Width
Width = 7
Area = 119
Solving for: Length
Equation:
119 = 7 * x
Solving for Length (x) :
119 = 7 * x
x = 119/7
x = 17
Units = meters
Answer: 17 meters
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
can some one answer please
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
How many situations are there to the systems of equations graphed below if the lines are uuu parallel?
Answer:
2
Step-by-step explanation:
Yes the parallel line segment to eat the answer
SSSSSSS
Which expression is equivalent to
(2g^3+4)^3
?
4g^6+16
4g^6 + 16g^3 +16
4g^6 + 8
4g^9 + 16g^3+8
Answer: answer is c pls mark me brain
Step-by-step explanation:
The expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (2g³+4)²
We have to find the equivalent expression of the given expression
Equivalent expressions are expressions that work the same even though they look different
We know that (a+b)²=a²+b²=2ab
(2g³+4)² = (2g³)² + 4² +2.2g³.4
=4g⁶+16+16g³
Hence, the expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
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Un cable guía de 600 pies esta sujeto a la parte superior de una torre de comunicaciones. Si el cable forma un ángulo de 65° con la Tierra. ¿Cuál es la altura de la torre de comunicaciones?
Answer:
La torre tiene 543.78 pies de altura.
Step-by-step explanation:
Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).
Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.
Entonces simplemente podemos usar la relación:
Sin(θ) = (cateto opuesto)/(hipotenusa)
donde:
cateto opuesto = H
θ = 65°
hipotenusa = 600 ft
sin(65°) = H/600ft
sin(65°)*600ft = H = 543.78 ft
La torre tiene 543.78 pies de altura.
Which radical expressions are equivalent to the exponential expression
below? Check all that apply.
Step-by-step explanation:
:)
Hola bro espero y te sirva
What are the x- and y- intercepts for the graph of 5x-2y= 20
Answer:
x intercept: 4 y intercept: -10
Step-by-step explanation:
Use desmos graphing calculator :)
WILL MARK AS BRAINLIEST
Answer:
B
Step-by-step explanation:
mulitiply by 2
Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
2012 km squared
Step-by-step explanation:
2600(.95)^5
if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent
uh sorry if that doesn't make a lot of sense
6th grade math help me please
Answer: £1.18
Step-by-step explanation: 9.44/8 = 1.18
Simplify:9-1÷2÷27^2÷3
First let's calculate the exponents.
[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]
Now we should multiply and divide.
[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]
Now we should add and subtract.
[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]
Convert the improper fractions into mixed numbers.
[tex]8\frac{4373}{4374}[/tex]
Answer :
[tex]8\frac{4373}{4374}[/tex]
A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
[tex]P=1259.26N/m^2[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]F=68N[/tex]
Area [tex]A=540cm^2=0.054m^2[/tex]
Generally the equation for Pressure is mathematically given by
[tex]P=\frac{F}{A}[/tex]
[tex]P=\frac{68}{0.054}[/tex]
[tex]P=1259.26N/m^2[/tex]
Complete the equation describing how x and y are related.
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
b) Write down the formula to find the perimeter of a circle.
Answer:
C = 2πr
Step-by-step explanation:
We know that, the perimeter of a figure is equal to the sum of all sides.
A circle having no sides.
The perimeter of a circle = The circumference of the circle
The formula for the circumference of the circle is given by :
C = 2πr
Where
r is the radius of the circle
Hence, this is the required solution.
