Length of the rectangle is 150 m.
Step-by-step explanation:
Step 1:
Let the width of the rectangle be x. Then the length = 3x. Given that perimeter = 400 m, find the length.
Perimeter of the rectangle = 2 (length + breadth)
400 = 2 (3x + x)
400 = 8x
∴ x = 400/8 = 50
⇒ Width is 50 m
∴ Length = 3x = 150 m
help and hurry plzzzzzzzzzzzzz
Answer:
The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4 ⇒ A
Step-by-step explanation:
The slope-intercept form is y = m x + b, where
m is the slope of the lineb is the y-intercept (y at x = 0)The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
∵ The line passes through points (-6 , -4) and (0 , 4)
∴ [tex]x_{1}[/tex] = -6 and [tex]x_{2}[/tex] = 0
∴ [tex]y_{1}[/tex] = -4 and [tex]y_{2}[/tex] = 4
- Substitute them in the formula of the slope
∴ [tex]m=\frac{4--4}{0--6}=\frac{8}{6}[/tex]
- Simplify it by divide up and down by 2
∴ [tex]m=\frac{4}{3}[/tex]
∵ The slope-intercept form is y = m x + b
- Substitute the value of m on it
∴ y = [tex]\frac{4}{3}[/tex] x + b
∵ b is value y at x= 0
∵ At x = 0 , y = 4 ⇒ given point
∴ b = 4
- Substitute the value of b in the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 4
The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4
Kay is drawing a triangle. Two of the sides have an equal length of 8 cm, and the angle between those sides measures 68°. Which could be the measure of each base angle?
The measure of each base angle is 56°.
Step-by-step explanation:
The isosceles triangle has two base angles that are congruent (same measure).Let the measure of each base angle is 'x'.The sum of angles in a triangle add to 180°.base angle + base angle + 68° = 180°
2x + 68° = 180°
2x = 112°
x = 112/2
x = 56°
Therefore, the measure of each base angle is 56°.
The required measure of each base angle is equal to 56°.
It involves understanding the properties of an isosceles triangle, which is the key to solving the problem. In an isosceles triangle, if two sides are equal, the angles opposite those sides are also equal.
Given that Kay is drawing a triangle with two equal sides of 8 cm and the angle between these sides measures 68°, the triangle is isosceles, and we know that the other two angles (the base angles) are equal due to this property.
The sum of all angles in any triangle equals 180°. Therefore, to find the measure of each base angle, we subtract the given angle from 180° and then divide by 2 (since the base angles are equal):
The sum of angles in a triangle = 180°.
The measure of the angle between the two sides = 68°.
The sum of the two base angles = 180° - 68° = 112°.
Measure of each base angle = 112° / 2 = 56°.
Therefore, the measure of each base angle in Kay's triangle is 56°.
You travel 150 miles on 5 gallons how far did you travel per gallon?
Answer:
Step-by-step explanation:
Answer:
You travel 30 miles per (1) gallon!!!!! please give brainliest!!
Step-by-step explanation:
150/5=30
The length of a rectangular piece of sheet metal is 3 times it’s width. What is its length if it’s area is 192 square centimeters
To find the missing number, you will need to divide the numbers you already have.
192 divided by 3 = 64
Your answer/length will be 64.
Area = 192
Width = 3
Length = 64
64 x 3 = 192
Hope this helps :)
To determine the length of the rectangular piece of sheet metal with an area of 192 square centimeters and a given length-to-width ratio, solve for the width using the area formula, then use the ratio to find the length. The calculated length is 24 centimeters.
The problem involves finding the length of a rectangle given the area and the relationship between the length and width. Let's denote the width of the rectangle as w and the length as L. We are given that L = 3w and the area (A) of the rectangle is 192 square centimeters. The area of a rectangle is calculated by multiplying its length and width.
A = L x w
Substituting L from the given relationship into the area equation:
192 cm² = (3w) x w
Now we can solve for w:
192 cm² = 3w²
w² = 192 cm² / 3
w² = 64 cm²
w = 8 cm
Now, use the value of w to find L:
L = 3 x 8 cm
L = 24 cm
Therefore, the length of the rectangular piece of sheet metal is 24 centimeters.
The length of a rectangle is 3 centimeters less than twice the width. If the perimeter of the rectangle is 24 centimeters, find its dimensions.
Answer:
Width = 5 cm
Length = 7 cm
Step-by-step explanation:
Width = w
Length = 2w - 3
Perimeter = 24 cm
2* (length + width ) = 24
2*(2w-3 +w) = 24
2*(3w -3) = 24
3w - 3 = 24/2
3w - 3 = 12
3w = 12+ 3
3w = 15
w = 15/3
w = 5cm
Length = 2w - 3 = 2*5 - 3 = 10-3 = 7 cm
length = 7 cm
A colony of 300,000 bacteria doubles in size every 35 minutes what will the population be 70 minutes from now ?
Answer:
1,200,000
Step-by-step explanation:
300,000 x 4
It doubles every 35 minutes so you multiply by 4
Answer:
X=600000
Step-by-step explanation:
Let the unknown value for 70minutes be x
So let's solve the given question
300000 bacteria is double in every 35minutes
So to solve we will have
300000 bacteria=35minutes
X bacteria=70 minutes
So let's cross multiply
35x=300000×70
Let's make x the subject of formula by dividing both sides by 35
X=300000×70/35
X=300000×2
X=600000
Therefore the population in 70 minutes is 600000
Identify the point from the equation: y + 5 = 3(x - 2)
Answer:
The point is [tex](2,-5)[/tex]
Step-by-step explanation:
we have
[tex]y+5=3(x-2)[/tex]
This is the equation of the line written in point slope form
so
[tex]y-y1=m(x-x1)[/tex]
where
The slope is equal to
[tex]m=3[/tex]
The point (x1,y1) is
[tex](2,-5)[/tex]
therefore
The point is [tex](2,-5)[/tex]
A linear equation exists for the following sets of ordered pairs: {(-1, 1), (0, 3), (-1/3, 7/3)}. The rule for the linear equation states that y is three more than twice x. Set up a linear equation that satisfies the rule, and use the set of ordered pairs to prove that your equation satisfies the set of coordinates. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Answer:
Part 1) [tex]y=2x+3[/tex]
Part 2) The equation satisfy the set of coordinates (see the explanation)
Step-by-step explanation:
step 1
Find the linear equation
The rule for the linear equation states that y is three more than twice x.
so
The variable y is equal to the number 2 multiplied by x plus the number 3
[tex]y=2x+3[/tex]
step 2
Prove that the equation satisfies the set of coordinates
substitute the value of x and the value of y in the linear equation and then compare the results
a) (-1, 1)
[tex]1=2(-1)+3[/tex]
[tex]1=1[/tex] ----> is true
so
The equation satisfy the ordered pair
b) (0, 3)
[tex]3=2(0)+3[/tex]
[tex]3=3[/tex] ----> is true
so
The equation satisfy the ordered pair
c) (-1/3,7/3)
[tex]7/3=2(-1/3)+3[/tex]
[tex]7/3=7/3[/tex] ----> is true
so
The equation satisfy the ordered pair
therefore
The equation satisfy the set of coordinates
A triangle has an area of 80 yd² and a height of 10 yd. How long is the base of the triangle?
Plz help this is my unit test
Answer:
16 yd. is the answer. Good luck with the test.
Step-by-step explanation:
A=b×h÷2
80=10×y÷2
160=10×y
16=y
16 yd.
Answer:
he base length of triangle = 16 yd
Explanation:
he base length of triangle = 16 yd
Step-by-step explanation:
Formula:-
Area of triangle
area A = bh/2
b - base of triangle
h - height of triangle
To find the area of triangle
It is given that,A triangle has an area of 80 yd^2 and a height of 10 yd.
here, b = ?, A = 80 yd^2 and h = 10 yd
A = bh/2
80 = (b*10)/2
5b = 80
b = 80/5 = 16
Therefore the base length of triangle = 16 yd
Simplify the expression
7.) -3.5 - 2.1 x 1.8
1. Simplify 2.1 * 1.8 to 3.78
-3.5 - 3.78
2. Simplify
-7.28
Answer: -7.28
Step-by-step explanation:
1 + 1 2 ⋅ (4x − 6) = −2
1.4375
Step-by-step explanation:
Step 1:
Let the given equation be [tex]1+12(4X-6)=-2[/tex]
To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.
Step 2:
Let us expand the equation as [tex]1+ (12*4X)-(12*6)=-2[/tex]
Step 3:
Let us expand it further as [tex]1+48X-72=-2[/tex]
Step 4:
To find X segregate X in one side and all other remaining terms in other side as follows
[tex]48X=-2+72-1[/tex]
After the simplification the numerical value is
[tex]48X=69[/tex]
Step 5:
Keep X along one side and bring 48 to the denominator of another side to find X as follows
[tex]X=69/48[/tex]
And the value of X is 1.4375
Answer:
x = 1 7/16
Step-by-step explanation:
1 + 1 2 ⋅ (4x − 6) = −2
Subtract 1 from each side
1-1 + 1 2 ⋅ (4x − 6) = −2-1
1 2 ⋅ (4x − 6) = −3
Distribute the 12
48x -72 = -3
Add 72 to each side
48x-72+72 = -3+72
48x =69
Divide by 48
48x/48 = 69/48
x =1 21/48
x = 1 7/16
PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
The equations for the regular cost is [tex]y=18.50 x[/tex] and
The equation for the party special is [tex]y=15 x+28[/tex],
where y is the total cost in dollars and x is the number of students in the group.
Step-by-step explanation:
Step 1:
The regular cost per person is $18.50 per person.
So to calculate the total cost, all we need to do is multiply the number of students in the study group with the cost per person i.e. $18.50.
So the equation is [tex]y=18.50 x[/tex].
If x = 5, [tex]y=18.50(5)[/tex] = $92.50,
If x = 10, [tex]y=18.50(10)[/tex] = $185.00.
Step 2:
The party special costs $15 per person but has an additional fee of $28 for a private room where they can have lunch.
So to calculate the total cost we multiply the number of students in the group with the cost per person i.e. $15 and add it with the private room fee i.e. $15.
So the equation is [tex]y=15 x+28[/tex].
If x = 5, [tex]y=15 (5)+28[/tex] = $103.00
If x = 10, [tex]y=15 (10)+28[/tex] = $178.00.
PLEASE HELP NOW!! Will grant brainliest
(f·g)(x) is x^5 - 5x^4 + 4x³ - x² + 5x - 4
Step-by-step explanation:
Step 1: Given, f(x) = x² - 5x + 4 and g(x) = x³ - 1 Find (f·g)(x)(f·g)(x) = f(x)·g(x) = (x² - 5x + 4)(x³ - 1)
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
what is x? 1.5x - 6 = 7.5
Answer:
x=9
Step-by-step explanation:
1.5x - 6 = 7.5
+6 + 6
1.5x = 13.5
1.5x divided by 13.5 then equals 9
A cone with a height of 14 feet has a volume of 405.63 cubic feet
Answer:
R=5.26
Step-by-step explanation:
solve the equation 14z=224
Step-by-step explanation:
[tex]14z = 224[/tex]
To solve for [tex]z[/tex] in this equation, we need to isolate [tex]z[/tex] by itself on one side of the equation.
To do this, we need to get rid of the [tex]14[/tex] that is being multiplied by the [tex]z[/tex] on the left-hand side of the equation. This can be done by dividing both sides by [tex]14[/tex]:
[tex]14z = 224[/tex]
[tex]\frac{14z}{14} = \frac{224}{14}[/tex]
[tex]z = 16[/tex]
Therefore, the solution to the equation is [tex]z = 16[/tex].
Answer:
Step-by-step explanation:
14z = 224
divide both sides by 14
[tex]z=\frac{224}{14}\\\\z=16[/tex]
9(2x + 10) = 2(9x+ 45)
Answer:
infinitely many solutions
Step-by-step explanation:
1) distribute 9 to each term inside parenthesis on left side of equation
18x+90=2(9x+45)
2)now distribute 2
18x+90=18x+90
these equations are exactly the same! this means that this equation has infinitely many solutions
Hope this helps!
Answer:
infinite solutions
Step-by-step explanation:
9(2x + 10) = 2(9x+ 45)
Distribute
18x+90 = 18x +90
Subtract 18x from each side
18x-18x+90 = 18x-18x+90
90=90
Since this is always true, the equation has infinite solutions.
X can be any number
Four families are planning to make a joint purchase at a warehouse club in order to purchase no more than 15 pounds of potatoes for each family how many potatoes should they buy?
Answer:
x < 15.
Step-by-step explanation:
Solving Inequalities Word Problems
Let X is the total pounds of potatoes that four families should buy
To purchase no more than 15, so they should buy 0< x < 15
Because four families are planning to make a joint purchase and we dont know their specific proportion so we take x as the number on be haft.
Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
16 degrees
19 degrees
71 degrees
87 degrees
Answer:
16 degrees
Step-by-step explanation:
The question is
Find the measure of angle R
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
In this problem
[tex]m\angle N+m\angle R=109^o[/tex]
we have
[tex]m\angle N=93^o[/tex]
substitute
[tex]93^o+m\angle R=109^o[/tex]
[tex]m\angle R=109^o-93^o=16^o[/tex]
Answer: 16 degrees
Step-by-step explanation: 109-93 is 16
Choose the best graph that represents the linear equation:
4x + y = 0
i need help please
Answer:
graph A
Step-by-step explanation:
Answer:
Graph B
Step-by-step explanation:
I did the practice on edg
What is the value of d?
Answer:
d=5
Step-by-step explanation:
The area of a square whose side measures four units is added to the difference of eleven and nine divided by two.
Answer:
The correct answer is D. 17.
Correct statement and question:
The area of a square whose side measures four units is added to the
difference of eleven and nine divided by two. What is the total value?
a. 9
b. 16
c. 5
d. 17
Source:
Previous question that can found at brainly
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Side of the square = 4 units
Area of the square = 4 * 4 = 16 units
2. What is the total value?
Difference of eleven and nine divided by two = (11 - 9)/2
Difference of eleven and nine divided by two = 2/2 = 1
Area of a square whose side measures four units is added to the
difference of eleven and nine divided by two = 16 + 1
Area of a square whose side measures four units is added to the
difference of eleven and nine divided by two = 17
The correct answer is D. 17
The combined result of the area of a square with a side of four units and the arithmetic expression (11 minus 9) divided by 2 is 17.
Explanation:Calculating the Combined Area and Arithmetic Expression
To solve the given problem, we need to calculate the area of a square with a side of four units and add this to the arithmetic expression (11 minus 9) divided by 2. First, let's find the area of the square. The area of a square is found using the formula area = side × side. Therefore, the area of our square is 4 units × 4 units = 16 square units.
Next, we calculate the arithmetic expression. The difference of eleven and nine is 11 - 9 = 2, and dividing this by two gives us 2 / 2 = 1.
Finally, we add the area of the square to this result: 16 square units + 1 = 17. The final answer is 17.
Alina is flying a kite. The kite string is fully extended and measures 100 feet in length. The kite is 45 feet east of Alina. Which equation can be used to find the height of the kite? How high is the kite? Select two answers
Answer: I chose A and D but I'm not sure.
Answer:
The answers are A and D since A is the right equation and 89.3 is the right answer
Step-by-step explanation:
What is the measure of it
Answer:My guess is 185
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the area of the complex figure.
Not drawn to scale.
Answer:
1863 [tex]meters^{2}[/tex]
Step-by-step explanation:
( 23 x 12 ) x 2 = 552
69 x 19 = 1311
1311
+552
= 1863 [tex]meters^{2}[/tex]
The area of the complex figure is 1,863 square meters
To find the area of the complex figure, break it down into individual rectangles and then sum up their areas. The complex figure consists of two smaller rectangles and one larger rectangle.
For the first two rectangles:
- Length = 23 m
- Width = 12 m
The area of each of the first two rectangles is:
Area = Length × Width = 23 m × 12 m = 276 square meters
Now, for the larger rectangle:
- Length = 69 m
- Width = 19 m
The area of the larger rectangle is:
Area = Length × Width = 69 m × 19 m = 1,311 square meters
To find the total area of the complex figure, sum up the areas of the three rectangles:
Total Area = Area of the first two rectangles + Area of the larger rectangle
Total Area = (276 square meters + 276 square meters) + 1,311 square meters
Total Area = 552 square meters + 1,311 square meters
Total Area = 1,863 square meters
So, the area of the complex figure is 1,863 square meters. This approach demonstrates how to find the area by breaking down the complex figure into simpler shapes and summing their individual areas.
For more such questions on complex figure:
https://brainly.com/question/31679134
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Consider the equation x=-2y+7 what is the x-intercept
Answer:
7
Step-by-step explanation:
The x-intercept is the x-value when y=0, so we plug in y=0,
x=-2(0)+7
x=0+7
x=7
So the x-intercept is 7
Answer:
X intercept is 7
Step-by-step explanation:
There are 2 bags, each containing red blocks and yellow blocks. Bag 1 contains 1 red block and 3 yellow blocks. Bag 2 contains 4 red blocks and 12 yellow blocks. Tom says he is more likely to pick a red block out of bag 2 than out of bag 1 because bag 2 has more red blocks than bag 1. Is this correct? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Bag 1:
P(red) = 1/4
Bag 2:
P(red) = 4/16 = 1/4
Same probability so equally likely
Gohan earned scores of 95, 100, 65, 95, 75, 98, 100, 55, 100, 45 on his last ten quizzes. What is the mean of his quiz scores? What is the median of his quiz scores? What is the mode of his quiz scores?
Answer: Mean= 82.8
Median= 95
Mode=100
Step-by-step explanation:
Mean is the average of the scores
Mean= 95+100+65+95+75+98+100+55+100+45 =828/10= 82.8
To get the median, we rearrange the numbers in either ascending or descending order.
45,55,65,75,95,95,98,100,100,100
Median= 95
Mode is the number that occurs most which is 100
Answer:
Answer: Mean= 82.8
Median= 95
Mode=100
Step-by-step explanation:
I got this correct, hope this helps:)
Absolute value equation |x-3|=5
Answer:
x = - 2, x = 8
Step-by-step explanation:
The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus
x - 3 = 5 OR - (x - 3) = 5
Solving both equations
x - 3 = 5 ( add 3 to both sides )
x = 8
OR
- x + 3 = 5 ( subtract 3 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are solutions.
x = 8
| 8 - 3 | = | 5 | = 5 = right side
x = - 2
| - 2 - 3 | = | - 5 | = 5 = right side
Thus the solutions are x = - 2, x = 8
The equation given is the same as x - 3 = 5 or -(x - 3) = 5
Steps to solve:
x - 3 = 5
x - 3 + 3 = 5 + 3
x = 8
Steps to solve:
-(x - 3) = 5
-x + 3 = 5
-x + 3 - 3 = 5 - 3
-x = 2
-x/-1 = 2/-1
x = -2
Therefore, the solutions are x = 8 and x = -2
Best of Luck!
Which statement best describes what happened to average gas prices from week 2 to week 4?
A They fell.
B They rose and then fell.
C They stayed the same.
D They rose.
Answer:
Is there a graph that we need to look at