Answer:
Cost per Apple is $0.75
Step-by-step explanation:
Step 1: Divide cost by the apples
$6.00 / 8 = x
$0.75 = x
Cost per Apple is $0.75
Answer:
0.75
Step-by-step explanation:
Just divide $8.00 by $6.00
prove that sin^4x - cos^4x = 2sin^2x - 1
Step-by-step explanation:
Step 1: From the given equation, taking the Left Hand Side (LHS) of the equation
Step 2: Simplify the LHS to make it equal to the Right Hand Side (RHS)
LHS = sin^4x - cos^4x = (sin²x)² - (cos²x)²
= (sin²x - cos²x)(sin²x + cos²x)
= sin²x - (1 - sin²x) since sin²x + cos²x = 1
= 2 sin²x - 1
= RHS
Hence proved.
12. What steps do you need to take to solve
the equation 2x + 6 - 187
A Add 6. Then multiply by 2.
B Subtract 6. Then divide by 2.
C Add 6. Then divide by 2.
D Subtract 6. Then multiply by 2.
Answer:
B is the right answer.
Mixed numbers 5 3\8 x 2 7\8
Answer:
15 29/64
Step-by-step explanation:
You will turn them both improper and then multiply
An architect is planning to make two triangular prisms out of iron. The architect will use ∆ABC for the bases of one prism and ∆DEF for the bases of the other prism.
-
-
(a) What is the scale factor from ∆ABC to ∆DEF?
(b) Suppose the height of the prism made by ∆ABC is 15 centimeters. What is the volume of the prism made by ∆ABC? Remember to show your work.
(c) Suppose the volume of the prism made by ∆ABC is 4459 cm^3. What is the volume of the prism made by ∆DEF? Remember to show your work.
a) 5/7
b) 4459 cm cube
c) 2275 cm cube
Step-by-step explanation:
Step 1 :
a)
The Side AB (28 cm) has been scaled to side DE (20 cm)
Let x b the scale factor.
Then we have 28 *x = 20
=> x = 20/28 = 5/7
Hence the scale factor is 5/7
Step 2 :
b)
Given the height of the triangular prism is 15 cm
Volume = ( 1/2 ) * base* height of the triangle * height of the prism
= (1/2)* 21*28*15 = 4410 cm cube.
Step 3 :
c)
Given volume of the triangular prism with base ABC is 4459 cm cube
The scale factor is 5/7
Hence the volume of the prism with DEF as base is
4459 * (5/7)*(5/7) = 2275 cm cube.
Solve for X (simple)
Answer:
156°
Step-by-step explanation:
This is simply angle on a straight and this angle is 180°
X + 24 = 180
Collect like terms
X = 180 — 24
X = 156°
Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the company sell in June? Analyze Emily’s calculations. What error did she make?
Answer:
Emily solved for a part when she should have solved for the whole. 875,000 should be the numerator of the equivalent ratio. 70 x 12,500 is 875,000. So the answer is 100 x 12,500 which is 1,250,000.
Step-by-step explanation:
Shira Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. The number of shoes that the company sold in June is 612500.
If we looked carefully at the question, we will understand that it was from the total pairs of sandals sold that they deduce the percentage of the shoes sold.
From the information given:
Number of pairs of Sandals sold in June = 875,000Pairs of shoes sold = 70% of the pairs of sandals sold.To determine the number of pairs of shoes sold, we have:
[tex]\mathbf{= 875000 \times \dfrac{70}{100}}[/tex]
[tex]\mathbf{= 8750 \times70}[/tex]
= 612500
Therefore, we can conclude that the number of shoes sold by the company in June is 612500
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3x + 6y= 6
9x - 12y = 18 elimination with multiplication
Answer: x = 4y/3+2
y = 0
Step-by-step explanation:
In the order of operations, what is the first operation that you should take care of?
Answer: Remember PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. But when trying to solve a problem with a variable, remember to go backwards.
What is (8×^2+4×+6)(6×^2-5×+6)
Answer:
1
Step-by-step explanation:
I think it's 1 because I never did this question before.
In a system of two linear equations what is the relationship between the slope of the lines and the numbers of solutions to the system?
In a system of two linear equations if the slopes are same then no solutions and different slope means exactly one solution.
Step-by-step explanation:
Let us consider two linear equations, each linear equation has slope and y-intercept.
Among those slope plays a major role, if there are no slope means than the line equation will be parallel to the x-axis. The slope will indicate the line's direction.
If two linear equations, having an identical slope then they will become like parallel lines. Thus the parallel lines won't intersect with each other. So there will be no solutions to the system. (refer 1st image of both equations having slope 5)
If two linear equations have different slope they will intersect at any point. That is, it will result in exactly one solution. (refer 2nd image of both equations having different equations 1 and -1).
Min-jun travels 27 miles per hour. How long does it take him to travel 21 miles. Nearest tenth
Answer:
0.8 hours
Step-by-step explanation:
From the question;
Speed of Min-jun is 27 miles per hour Distance covered is 21 milesWe need to determine the time he takes to cover the distance given;
We need to know that;
Speed = Distance ÷ time
Rearranging the formula;
time = Distance ÷ speed
Thus;
Time = 21 miles ÷ 27 miles per hour
= 7/9 hours
= 0.8 hours
Thus, he took 0.8 hours to cover the distance covered
two triangles are similar. The base of the first triangle is 10 cm and the height is 15 cm. The base of the second triangle is 12 cm. The height of the second triangle is?
Answer:
the height is 18cm
Explanation:
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Are these ratios equal?
given that
Triangle 1 (first triangle)
base = 10cm
height = 15cm
Triangle 2 (second triangle)
base = 12cm
height = unknown
base 1 / base 2 = height 1 / height 2
10cm / 12cm = 15cm / xcm
xcm = 18cm
height = 18cm
Solve write or draw to explain Saul and Luisa each scored 167 points on computer games How many points did they score together
Answer:167 + 167 = 334
Step-by-step explanation:
MAPS On a map, Wilmington Street, Beech Drive, and Ash Grove Lane appear to all be parallel. The on
ilmington to Ash Grove along Kendall is 820 feet and along Magnolia, 660 feet. If the distance between Beech and
ove along Magnolia is 280 feet, what is the distance between the two streets along Kendall?
The distance between the two streets along Kendall is 347.9 feet.
Solution:
The image of the problem is attached below.
Distance between Wilmington to Ash Grove along Kendall = 820 feet
Distance between Wilmington to Ash Grove along Magnolia = 660 feet
Distance between Beech and Ash Grove along Magnolia = 280 feet
Distance between Wilmington to Beech along Magnolia
= 660 feet – 280 feet
= 380 feet
Let us x be the distance between Wilmington to Beech along Kendall and
820 – x be the distance between Beech and Ash Grove along Kendall.
The given streets are parallel.
By proportionality theorem, parallel lines cut by a transversal are in proportion.
[tex]$\Rightarrow\frac{380}{280} =\frac{x}{820-x}[/tex]
Do cross multiplication.
[tex]$\Rightarrow{380}({820-x}) =280x[/tex]
[tex]$\Rightarrow 311600-380x =280x[/tex]
[tex]$\Rightarrow 311600 =280x+380x[/tex]
[tex]$\Rightarrow 311600 =660x[/tex]
[tex]$\Rightarrow x=472.1[/tex]
Distance between Beech and Ash Grove along Kendall
= 820 – x
= 820 – 472.1
= 347.9
Hence the distance between the two streets along Kendall is 347.9 feet.
Final answer:
By analyzing the given distances along two parallel paths and using proportional reasoning, it is determined that the distance between Beech Drive and Ash Grove Lane along Kendall is approximately 547.33 feet.
Explanation:
Since Wilmington Street, Beech Drive, and Ash Grove Lane are parallel, and given the distances along Kendall and Magnolia, we can deduce the relationships between these distances to find the desired measurement. Utilizing the ratio of distances along Magnolia, we can apply the same ratio to the distances along Kendall.
We know that the total distance along Magnolia (660 feet) minus the distance between Beech and Ash Grove (280 feet) gives the distance between Wilmington and Beech along Magnolia, which is 380 feet. Assuming the distance distribution is proportional along Kendall, the distance between Beech and Ash Grove along Kendall would be given by:
(280 feet / 660 feet) * 820 feet = (2/3) * 820 feet = 547.33 feet.
Therefore, the distance between Beech Drive and Ash Grove Lane along Kendall is approximately 547.33 feet.
7.8 dividend by 0.03
Answer:
its 26
Step-by-step explanation:
give me brainly
Whoever gives me the right answer gets extra points, please help me
Area of the carpet needed = 38 ft²
Solution:
The given image is splitted into two shapes.
One is trapezoid and the other is triangle.
Top base of the trapezoid = 8 ft
Bottom base of the trapezoid = 12 ft
Height of the trapezoid = 3 ft
Area of the trapezoid = [tex]\frac{1}{2} (a+b)\times h[/tex]
[tex]$=\frac{1}{2}(8+12)\times3[/tex]
[tex]$=10\times3[/tex]
= 30
Area of the trapezoid = 30 ft²
Base of the triangle = 12 ft – 8 ft = 4 ft
Height of the triangle = 4 ft
Area of the triangle = [tex]\frac{1}{2} b h[/tex]
[tex]$=\frac{1}{2} \times4\times4[/tex]
= 8
Area of the triangle = 8 ft²
Area of the carpet = Area of the trapezoid + Area of the triangle
= 30 ft² + 8 ft²
= 38 ft²
Area of the carpet = 38 ft²
Hence 38 square feet of outdoor carpet will need for this hole.
Find the distance (D) Round your answer the nearest tenth.PLEASE HELP!!
The distance (D) is 10 cm.
Explanation:To find the distance (D), we can use the formula D = do + di, where do is the actual distance and di is the apparent image distance.
In the given information, it states that 2do must be less than 20 cm, so we can set do = 10 cm.
Therefore, the distance (D) is 10 cm.
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Find the area of the following figure.
6.4 in^2
10.24 in^2
12.8 in^2
Yo sup??
area of a square =a*a
=a^2
where a is the lenght of its side
area=3.2*3.2
=10.2 unit2
pls do the conversion into inches
Hope this helps
The answer is: 10.24 in^2
Find the equation of the line between (-7,4) and (5,9) in slope intercept form
Step-by-step explanation:
(9-4)/(5+7)= 5/12
y - 4 = 5/12(x + 7)
y - 48/12 = (5/12)x + 35/12
y = (5/12)x + 83/12
About 50 percent of the math questions are multiple choice and 50 percent are grid-in.
True. False
Answer:
True
Step-by-step explanation:
The sum of 2 angles is 90 degrees and their difference is 40 degrees
Answer:
65 degrees
25 degrees
Step-by-step explanation:
x=first angle
y=second angle
x+y=90 x-y=40
x=40+y
(40+y)+y=90
40+2y=90
2y=50
y=25
x=40+25
x=65
Final answer:
The sum and difference of two angles can be found by setting up a system of equations and solving it. In this case, the two angles are 65 degrees and 25 degrees.
Explanation:
The question is asking for the sum and difference of two angles. Let's represent the two angles as x and y. We know that the sum of the two angles is 90 degrees, so we can write the equation x + y = 90. We also know that the difference of the two angles is 40 degrees, so we can write the equation x - y = 40.
We can solve this system of equations using substitution or elimination. Let's use the substitution method. From the second equation, we can rewrite it as x = y + 40. Substitute this value of x into the first equation:
(y + 40) + y = 90. Combine like terms: 2y + 40 = 90. Subtract 40 from both sides: 2y = 50. Divide by 2: y = 25.
Now substitute this value of y back into the equation x = y + 40: x = 25 + 40 = 65.
So, the two angles are x = 65 degrees and y = 25 degrees.
What does m equal?
3 3/4 m = 33 3/4
How do you evaluate 2x3x5
Answer:
Step-by-step explanation:
Answer:I think it's 30
Step-by-step explanation:
Because 2x3=6 and 6x5= 30
Josie's dog weighs 122 pounds. This is about 7 times as much as Len's dog weighs. About how much does Len's dog weigh? Select the numbers that correctly complete the sentence. Len's dog weighs between pounds.
Divide the weight of Josies dog by 7:
122 / 7 = 17.43
It weighs between 17 and 18 pounds.
Final answer:
Len's dog weighs about 17 pounds, calculated by dividing Josie's dog's weight (122 pounds) by 7 since her dog is approximately 7 times heavier than Len's.
Explanation:
Josie's dog weighs 122 pounds, which is about 7 times as much as Len's dog weighs. To find the weight of Len's dog, we need to divide the weight of Josie's dog by 7. Here's the calculation:
122 pounds by 7 = approximately 17.43 pounds
Therefore, Len's dog weighs about 17 pounds. This is a unit of weight that makes sense for the size of a dog. We choose pounds because ounces would be too small and tons would be too large to represent the weight of a large dog accurately. Thus, using pounds is appropriate to express the weight of a dog, such as Len's dog in this case.
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
is lowered from rest by a cable. For the first 10 seconds the cage accelerates
uniformly and descends a distance of 75 m. What is the force in the cable during
the first 10 seconds?
Answer:
5817 Newtons.
Step-by-step explanation:
Total mass of the cage + the miners = 700 Kg which is a downward force of 700g N.
The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.
We calculate the acceleration of the cage by using an equation of motion:
Distance = ut + 1/2 a t^2 where u = initial velocity , t = time and a = acceleration:
75 = 0(t) + 1/2 a (10^2)
50a = 75
a = 1.5 m s-2.
So using Newtons second law of motion
Force = mass * acceleration:
700*9.81 - T = 700 * 1.5
T = 700 * 9.81 - 700*1.5
= 5817 N.
The force in the cable during the first 10 seconds is 7930N. This was determined using the formulas s = ut + 1/2at² (to calculate acceleration) and F = ma + mg (to calculate the force).
Explanation:The subject of this question is Physics, specifically dealing with forces and acceleration. The total weight of the miners and the cage equals the sum of the miners' weight and the cage's weight, giving a total of 700kg, using the formula weight = mass x gravity (assumed to be 9.8m/s²). Therefore, the total weight is 700kg x 9.8m/s² = 6860N.
Then, we'd calculate the acceleration. The formula used is s = ut + 1/2at², where s is distance, u is initial velocity, a is acceleration, and t is time. Given that initial velocity is 0, the formula is simplified to s = 1/2at². After rearranging, we get acceleration (a) = 2s/t² = 2*75/10² = 1.5m/s².
Finally, we can determine the force on the cable using the formula F = ma + mg (F = force, m = mass, a = acceleration, g = gravity). Substituting, we get F = 700kg x 1.5m/s² + 700kg x 9.8m/s² = 7930N. Therefore, the force in the cable during the first 10 seconds is 7930N.
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9+3x=6(3-x) what is the answer
Answer:
x = 1
Step-by-step explanation:
9 + 3x = 18 - 6x
3x + 6x = 18 - 9
9x = 9
X = 1
Answer:
Step-by-step explanation:
9+3x =6(3-x)
9+3x =6 ×3 - 6x
9+3x =18 -6x
Collect like terms
9-18= -6x-3x
-9 =-9x
Divide both sides by -9
-9/-9 =-9x/-9
Minus cancels minus and 9 divided by 9 is 1 on both sides
1 =x
x =1
Solve for x
X cubed =27/64
[tex]$x=\frac{3}{4}[/tex]
Solution:
Given expression is [tex]x^3=\frac{27}{64}[/tex].
To solve the expression and find the value of x.
[tex]$\Rightarrow x^3=\frac{27}{64}[/tex]
27 can be written as 3 × 3 × 3 = [tex]3^3[/tex]
64 can be written as 4 × 4 × 4 = [tex]4^3[/tex]
[tex]$\Rightarrow x^3=\frac{3^3}{4^3}[/tex]
Taking cube root on both sides of the function.
[tex]$\Rightarrow\sqrt[3]{x^3}=\sqrt[3]{\frac{3^3}{4^3}}[/tex]
Cube and cube roots are cancelled.
[tex]$\Rightarrow x=\frac{3}{4}[/tex]
Therefore, [tex]x=\frac{3}{4}[/tex].
usually 1/1000 of the headphones cannot pass the tests . if they found 5 headphones failing, how many headphones did the workers test?
Answer: 5000
Step-by-step explanation: 5/5000
The workers tested 5000 headphones.
Explanation:To find out how many headphones the workers tested,
We can set up a proportion to solve the problem:
1/1000 = 5/x
Cross multiplying, we get:
x = 5 * 1000
x = 5000
Therefore, the workers tested 5000 headphones.
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(1 point
4. A regression line has a correlation coefficient of r=-0.91. Which of the following statements
must be true?
The data are so varied that there is almost no discernible trend whatsoever.
O The data are very tightly clustered around the trend line.
The trend line has a very steep negative slope.
The trend line reliably represents only 91 percent of the data.
Answer:
A: The data are so varied that there is almost no discernible trend whatsoever.
Step-by-step explanation:
The other 3 don't make sense and are not true for the question
If x varies inversely as y, and x = 3 when y= 8, find y when x=4
The value of y is 6 when x is 4
Step-by-step explanation:
If x varies inversely as y, then
x = [tex]\frac{k}{y}[/tex] , where k is the constant of variationxy = k, you can find k by using the initial values of x and y[tex]\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}[/tex]∵ x varies inversely as y
∴ x = [tex]\frac{k}{y}[/tex]
∵ When x = 3, y = 8
- Substitute these values in the equation to find k
∴ 3 = [tex]\frac{k}{8}[/tex]
- Multiply both sides by 8
∴ 24 = k
∴ The equation of variation is x = [tex]\frac{24}{y}[/tex]
∵ x = 4
- Substitute the value of x in the equation to find y
∴ 4 = [tex]\frac{24}{y}[/tex]
- Multiply both sides by y
∴ 4y = 24
- Divide both sides by 4
∴ y = 6
The value of y is 6 when x is 4
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