Answer:
B) [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = [tex]2\frac{1}{2}[/tex]
h = [tex]1\frac{1}{2}[/tex]
Work:
A = bh
A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]
A = [tex]\frac{15}{4}[/tex]
complete out the table for the function f(x) = |x-2|
Answer:
3, 2, 1, 0
Step-by-step explanation:
f(-1) = |-1 - 2| = 3
f(0) = |0 - (-2)| = 2
f(1) = |1 - 2| = 1
f(2) = |2 - 2| = 0
help me with my math please
Write the statement as an algebraic expression. Three times the difference of a number and five.
Answer:
3(n - 5) = 2n - 3
3n - 15 = 2n - 3
n = 12
Step-by-step explanation:
which fraction is the smallest value
13/10
6/5
5/4
29/25
Answer:
29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)
Step-by-step explanation:
13/10 is 1.3
6/5 is 1.2
5/4 is 1.25
29/25 is 1.16
Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house
Step-by-step explanation:
[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]
Please answer quickly. I need help bad
The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)
Answer:
B
Step-by-step explanation:
PLEASE HELP!
1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.
2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.
Answer:
1.
For triangle 1
[tex]a = 3\sqrt{5}[/tex]
For triangle 2
[tex]x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
Step-by-step explanation:
The complete question is attached in the image
Solution
1.
Both the triangles are right angled triangle
For triangle 1
[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]
For triangle 2
[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
A shirt costs $25. A sweater costs
3
as much as the shirt.
What is the cost, in dollars, of the sweater?
Answer:
28 dollars
Step-by-step explanation:
A shirt cost 25
a sweater Is 3 ”more”
so shirt= 25+ x Sweater: 28
Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.
A. 4 bags
B. 5 bags
C. 6 bags
D. 7 bags
Answer: C. 6 bags
Step-by-step explanation:
To solve this, you need to calculate the area of every shape in the garden and then sum them up.
Semi circle:
Area of semi-circle = (π * radius²) / 2
Radius = Diameter/ 2 = 18/2 = 9 feet
Area = (3.14 * 9²) / 2
= 127.17 ft²
Rectangle:
= Length * Width
= 18 * 8
= 144 ft²
Triangle
= 1/2 * base * height
= 1/2 * 18 * 18
= 162 ft²
Added up:
= 127.17 + 144 + 162
= 427.17 ft²
If each bag covers 75 ft² each, the number of bags needed is:
= Area to cover / Coverage per bag
= 427.17 / 75
= 5.7
= 6 bags
What is the distance between (0, 0) and (0, - 9) on the vertical line
Answer:
Step-by-step explanation:
what
Answer: 22
Step-by-step explanation:
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
Four fifths of the 35 kittens finish their milk how many did not finish their
Answer:
7 kittens did not finish their milk
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
65°
Step-by-step explanation:
to find angles, use the inverse trig function (in this case, tan^-1)
tan^-1(5/12)
Answer:
65.4
Step-by-step explanation:
Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below.
Including the doors, what is the lateral surface area of the party hall in square feet?
1,904 ft2
1,860 ft2
3,764 ft2
14,280 ft2
Answer:
The lateral surface area is: 1860 square feet
Step-by-step explanation:
Given
The missing dimension are:
See attachment for storage
[tex]L = 20[/tex] --- Length
[tex]W = 42[/tex] --- Width
[tex]H = 15[/tex] --- Height
Required
The lateral surface area
The lateral area is calculated as:
[tex]Area = 2 * H * (L + W)[/tex]
So, we have:
[tex]Area = 2 * 15 * (20 + 42)[/tex]
[tex]Area = 30 * (20 + 42)[/tex]
[tex]Area = 30 * 62[/tex]
[tex]Area = 1860[/tex]
Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance, in miles, Jason must ride to reach the end of the path. Show your work.
Answer:
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Step-by-step explanation:
Total distance of the path = 12 1/4 miles
Distance reached by Jason's bike on the path = 11 1/2 miles
Enter the distance, in miles, Jason must ride to reach the end of the path.
Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path
= 12 1/4 miles - 11 1/2 miles
= 49/4 - 23/2
= (49-46) / 4
= 3/4 miles
Number of miles remaining for Jason to reach end of the path = 3/4 miles
1/2⋅8 to the power of two+3(7)=
Answer:
The answer for this equation is 53
Answer:
53
Step-by-step explanation:
I'm not sure you worded I weird to me
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
The amount that a craftsman will charge for an item depends on the
amount that he spends on materials, m, and is determined by the
equation a = 2.5 + 2.5m, where a is the amount charged for each
item. What is the value of the dependent variable, if the value of the
independent variable is 3?
Answer:
$10
Step-by-step explanation:
m is the independent variable, and a the dependent one.
If m = 3, a = 2.5 + 2.5(3) = 10
The craftsman charges $10 when m = 3.
A circle has a circumference of 11,304 units
The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as a table or chart that shows the required data is not given.
To answer this, I will make use of the following frequency table
[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]
From the above table.
[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]
[tex]3\ miles \to 5\ students[/tex]
So:
[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]
[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]
From the above table.
[tex]1\ miles \to 10\ students[/tex]
[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]
So:
[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]
[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]
The difference (d) is then calculated by subtracting the number of students in both categories
[tex]d = 15\ students - 10\ students[/tex]
[tex]d = 5\ students[/tex]
7y - 9 = 2(y - 4) + 1
Answer:
Step-by-step explanation:
Distribution comes first, so:
7y-9 = 2y-8+1
Then you simplify:
7y-9 = 2y-7
Then you subtract or add the lowest number with a letter:
5y-9 = -7
Now you get 5y alone, so we add the 9:
5y = 2
Then you divide 5y = 2 by 5
y = 2/5 or .4
A gym owner has some purple weights and some white weights. The purple weights are 10 kilograms each, and the white weights are 6 kilograms each. The owner has 12 weights, and they weigh 84 kilograms in all. How many of each colour weight does he have?
Answer: [tex]3,9[/tex]
Step-by-step explanation:
Given
A gym owner has purple and white weights that measure 10 kg and 6 kg each
respectively.
They weigh 84 kg in total
suppose there x purple and y white weights
[tex]\therefore x+y=12\quad \ldots(i)\\\Rightarrow 10x+6y=84\quad \ldots(ii)\\\\\text{Solving }(i)\ \text{and }(ii)\\\\[/tex]
[tex]x=3,\ y=9[/tex]
Thus, there are 3 purple and 9 white weights.
Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)
I need this answered by today, please!!
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
Given
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]
Required
Express as [tex]ax + b[/tex]
We have:
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]
Open brackets
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]
Evaluate all multiplications
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]
Collect like terms
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]
Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]
4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.
a shirt normally cost 26 pounds. the price was reduced by 25%. how much does the shirt cost now?
Answer:
19.5 pounds
Step-by-step explanation:
25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds
HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!
If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!
Note: 2/75 = 0.0267 = 2.67% approximately
========================================================
Explanation:
The states that start with "A" are:
AlabamaAlaskaArizonaArkansasWe have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.
When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.
We'll multiply the fractions to get our answer:
(2/25)*(1/3) = (2*1)/(25*3) = 2/75
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
Can someone help me ?? I’ll give Brainliest
Answer: All I'm seeing is a blank screen I'm sorry can you try it again?
Answer:
nice black screen i like it
The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.
Answer:
Whats the question?
Step-by-step explanation: