Answer:
x = 3
y = -5
Step-by-step explanation:
Since you have the value of y already, just plug it into the equation, like so:
6x + 8y = -22
6x + 8(-5) = -22
6x - 40 = -22
Add 40 to both sides:
6x - 40 = -22
+ 40 + 40
___________
6x = 18
Finally, divide both sides by 6:
6x = 18
x = 3
So now you have, x = 3 and y = -5.
What is the slope of y = -4x -3
Which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?
A. (x, -y)
B. (-x, y)
C. (-x, -y)
D. (-y, x)
Answer:
Step-by-step explanation:
Actually, the answer is A (x,-y), ignore the bot.
A perfect square is a number with ______
as its square roots.
answer the blank
Answer:
A rational number whose square root is a whole number. 25 is a perfect square because its square root is 5.
Step-by-step explanation:
14 out of 56 students got an A. What percent got an A?
Answer:
7.84 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
I divided 14 by 56 and got 0.25, therefore it is 25%
I hope this helped!
Alicia is buying 6 oranges that cost $1 per kilogram is it reasonable to say that the cost of the oranges will be greater than $6 explain to a friend I need help please
Answer: Yes
Step-by-step explanation:
I am not sure if this is correct, but a kilogram is a very small unit of measure. I would assume that it is greater since 1000kg is equal to 1g. The oranges would have to weigh almost nothing for it to be less than $6.
What is 8 1/3% as a fraction?
If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 and B is the set of all integer solutions of inequality 2x+5<9 that are les than 10 by absolute value (and therefore, is also a subset of R), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
Answer:
A=1, 2, 3, 4, 5, 6, 7, 8, 9
B= -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1
Union: -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Intersection: 1
3. Which statements about graphed lines are true? Select all that apply.
A. A vertical line has an undefined slope.
B. The equation y = mx + b can be used to describe the relationship of a vertical
line.
C. A line represented by x = -8 is a function.
D. A horizontal line has a slope of zero.
Answer:
A, D
Step-by-step explanation:
b. mx+b can't describe the relationship of a vertical line since it's slope is undefined
c. x = -8 shows no relation to anything so it isn't a function
hopefully that works
Find the equation of the line that has a slope of 14 and passes through the point (-3,12).
Answer:
The answer is b=54
Step-by-step explanation:
y=mx+b
12=14(-3)+b
12=-42+b
54=b
hope that helps
What is the maximum battery life?
Answer:
24
Step-by-step explanation:
Answer:
probably 27 H
Step-by-step explanation:
Solve an equation based off the verbal phrase: 5 more than x is equal to 32
Answer:
[tex]x=27[/tex]
Step-by-step explanation:
Write the equation:
5 'more than' x suggests addition. Write:
[tex]x+5[/tex]
'equal to' 32. Write:
[tex]x+5=32[/tex]
Solve for x. Subtract 5 from both sides (inverse operations):
[tex]x+5-5=32-5\\x=27[/tex]
X equals 27.
Finito.
Find the volume of the sphere. Round your answer to the nearest tenth if necessary.
Use 3.14 for it.
9 ft
The volume of the sphere is about
Answer:
The answer is 3053.6
Let me know if there are any more problems!!
3x+2x+7=8x+8
solve for x
Answer:
x = [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
The bold side will be the "first side" and the italics will be the "second side."
3x + 2x + 7 = 8x + 8
First, you add the variables from the first side of the equal sign together.
3x + 2x = 5
Now the equation becomes: 5x + 7 = 8x + 8
Then you're going to take the 7 from the first side and subtract it from the 8 on the second side.
8 / 5 x + 1
8-7 = 1
Now the equation becomes: 5x = 8x + 1
Subtract 8x from both sides
-3x = 1
Divide both sides by -3
x = [tex]\frac{-1}{3}[/tex]
lin and diego are discussing two expressions x^2 and 2^x
Answer:
The expression a^b
means that we multiplicate the number a by itself b times.
So x^2 means that we multiplicate the number x by itself 2 times:
x^2 = x*x
and 2^x means that we multiplicate the number 2 by itself x times
2^x = 2*2*2*....*2 (if you count them, you should see x times the number 2)
for example, if x = 4, we will have
2^4 = 2*2*2*2
Steve drove for 2.4 hours at an average speed of 48 miles per hour, then 3.5 hours at and average speed 56 miles per hour. How far did Steve drive?
Answer:
311.2 miles
Step-by-step explanation:
(distance) = (rate)(time)
Here we have:
(48 mph)(2.4 hr) + (56 mph)(3.5 hrs) = 311.2 miles
Answer:
311.2
Step-by-step explanation:
simplify need help pls
A rectangular swimming pool is 15 meters long, 10 ½ meters wide, and 2 ½ meters deep. What is its volume?
Answer:
393.75
Step-by-step explanation:
to find the volume of a rectangular prism, multiply all values by each other.
Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length.
What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.
square meters
square meter
Answer:
use the area of a rectangle to calculate for the total area of the rectangular grass plot
area = length × width
Step-by-step explanation:
The grass plot in Nathan's backyard has a rectangular shape. The dimensions of the sides are in meters . The width and the length are in metres . Since the grass plot is rectangular , the area of the plot can be computed using the formula for area of a rectangle.
Area of a rectangle = L × W
where
L = length
W = width
The area of a rectangle is the width multiplied by the length. For example if the width of the grass plot is 100 meters and the length is 200 meters .The area of the grass rectangular plot will be
area = L × W
area = 200 × 100
area = 20000 m²
The unit of the area will be in square meters (m²)
Answer:
the correct answer is B on edge
Step-by-step explanation:
Please help me with answer I need help
Answer:
5+10 and earned is positive IF is multiple choice
Step-by-step explanation:
because he is getting money not loosing money
Answer:
5 + 10
Step-by-step explanation:
you just add the earnings
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answer:
40 feet by 4 feetStep-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet
Answer:
is it 25 or 2/5 ?
Step-by-step explanation:
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to ⅖ of its size. What is the scale of the new drawing?
if its 2/5 then answer is 1 inch = 5 feet
What is the volume of the item described?
A capsule consisting of a cylinder of radius 3 mm and height 6 mm with a hemisphere on each end of radius 3 mm.
Select the exact answer in terms of π and the approximate answer rounded to the nearest whole number.
90 π mm³
81 π mm³
54 π mm³
283 mm³
170 mm³
254 mm³
Answer:
90 283
Step-by-step
quiz
True or false
Based on the information in the diagram abc ≅ def
Answer:
The correct answer is B.
You have 12 shirts and plan to wear a different one each day from Monday
through Friday. How many arrangements of shirts are possible for those 5
days?
Find the circumference of the circle with a radius of 3 centimeters.
C = ?
Answer:
18.84
Step-by-step explanation:
C = 2* pi * r
C= 6* pi
= 18.84
Look at the attached picture
Hope it will help you...
The square below has an area of 16 + 8x + x^2 square meters. What expression represents the length of one side of the square?
Answer:
x+4
Step-by-step explanation:
x² + 8x² +16 = x² + 2*4x +4² = (x+4)²
Area of a square = side²
So, the length of one side of the given square is (x+4).
The expression that represent the length of one side of the square is x+4.
Calculation of the expression:Since the equation is
[tex]= x^2 + 8x^2 +16[/tex]
So, we can write as the
[tex]= x^2 + 2\times 4x +4^2 \\\\= (x+4)^2[/tex]
Now we know that
Area of a square = side²
hence, we can say that the expression that represent the length of one side of the square is x+4.
Learn more about length here: https://brainly.com/question/16275891
Which polygon has an interior angle sum of 1260°? A polygon has 7 sides. A polygon has 8 sides. A polygon has 9 sides. A polygon has 10 sides.
Answer:
9 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Equating to 1260 gives
180° (n - 2) = 1260 ( divide both sides by 180 )
n - 2 = 7 ( add 2 to both sides )
n = 9
Thus a polygon with 9 sides
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain. The correct option is C.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of all the interior angles of an 'n' sided polygon is given by the formula,
Sum of all the interior angles = (n-2) × 180°
Given that the sum of the interior angle is 1260°. Therefore, the number of sides n can be calculated as,
1260° = (n-2) × 180°
7 = n - 2
n = 7 + 2
n = 9
Hence, the number of sides the given polygon has is 9.
Learn more about Polygon:
https://brainly.com/question/10441863
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2. An aerial mast is supported by four wires attached to points on the
ground each 57 metres away from the foot of the mast. If each wire
makes an angle of 32° with the horizontal, find the height of the mast.
The problem involves using trigonometry to find the height of a mast given the hypotenuse of a right-angled triangle and an angle. The sine function is used in this case, providing an approximate mast height of 30 meters.
Explanation:This question involves the application of trigonometry. The wires form right-angled triangles with the mast and the ground, and the measure provided, 57m, is the hypotenuse of these triangles. The question asks for the height of the mast (opposite side) and the angle provided is 32° with the horizontal.
To solve this, the function of sine can be used, where the sine of an angle is equal to the opposite/hypotenuse. This can be rearranged to the formula: Opposite (height of the mast) = Hypotenuse * Sin(angle).
Therefore, the height of the mast = 57 meters * sin(32°) = 29.96 meters, approximately 30 meters mast height.
Learn more about Trigonometry here:https://brainly.com/question/11016599
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Final answer:
Using the tangent function with the given angle of 32 degrees and the distance from the base of the mast to the attachment points of the wires (57 metres), the height of the mast is calculated to be approximately 35.64 metres.
Explanation:
To find the height of the mast, we can use trigonometry, specifically the tangent function, because we have an angle and the opposite side, which in this case is the distance from the ground to the point where the wire is attached to the mast. The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side (tan(θ) = opposite/adjacent).
In this scenario, we have the angle (32°) and the adjacent side (57 metres), and we want to find the opposite side, which is the height of the mast. The formula we will use is:
height = adjacent × tan(angle)
Let's put the values we know into this formula:
height = 57 × tan(32°)
To calculate the height, you will need a calculator that can compute the tangent of an angle. The height will then be found as follows:
height = 57 × 0.6249 (tan(32°))
height = 35.6393 metres, which can be rounded to 35.64 metres.
The mast is therefore approximately 35.64 metres tall.
Dani gets a student loan to go to college. If he pays $750 in interest at a rate of 3% after 10 years, how much must the loan have been for originally?
Answer:
The loan must have been $2500 originally. i think
Kimberly had more time to conduct surveys and decided to survey a random sample of 30 students from the school. In Kimberly’s sample, 24 students said they would vote for Tammy. What is Kimberly’s best estimate of the number of students in the school who would vote for Tammy?
Answer:
80% of the students would vote for Tammy.
Step-by-step explanation:
To find Kimberly's best estimate, we need to use the sample the surveyed.
From the sample of 30 students, 24 said that they would vote for Tammy, so to generalize this sample, we need to find the percentage of students in the sample that would vote for Tammy:
Percentage = 24 / 30 = 0.8 = 80%
So the best estimate Kimberly can make is that 80% of the students would vote for Tammy.
One of the rooms is in the shape of the rectangle. It is a gift shop. 25% of the gift shop will be dedicated for the cashier and emloyees. If the
length was 12 yards and the width was 7 yards, explain how you would find the area dedicated for just the employees and cashier.
There are multiple ways to solve, so the more ways you solve, the more points you will earn, 4 point question.
Answer:
21 square inches
Step-by-step explanation:
Given: The length of a gift shop was 12 yards and the width was 7 yards. 25% of the gift shop will be dedicated to the cashier and employees.
To find: area dedicated to just the employees and cashier
Solution:
Length of a gift shop (rectangle) = 12 yards
Breadth of a gift shop (rectangle) = 7 yards
Area of a gift shop (rectangle) = Length × Breadth = 12 × 7 = 84 square inches
Area dedicated to the employees and cashier = 25% of the gift shop
=[tex]\frac{25}{100}(84)=21[/tex] square inches.