Considering the area of a rectangle, it is found that the area of Bob's remaining plot of land is of 12.5 acres.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of these dimensions, that is:
A = lw.
In this problem, both the length and the width are divided in half, hence the proportion remaining is given by:
A = 0.5l x 0.5w = 0.25lw = 25% of the initial area.
Hence:
0.25 x 50 = 12.5.
The area of Bob's remaining plot of land is of 12.5 acres.
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A classroom has 26 chairs and 16 computers. What is the ratio of computers to chairs?
**THE PERSON UNDER ME IS ALSO CORRECT, THIS IS JUST ANOTHER WAY TO APPROACH RATIOS**
Explanation: Ratio seldom compares two numbers by dividing them (this depends on the problem). We are given A 16 computers and B 26 chairs. Therefore we have the formula of A/B.For example 16/26
Solving: Divide A by B: 16/26= 0.615 or 0.6
Multiple: Multiple the quotient by 100 in order to get the percentages. 0.615 x 100 = 61.5% (if you rounded 0.61, the answer would be 60%; for this problem I didnt round hence, 61.5%)
Answer: 61.5 %
Side note: I hope this helps, feel free to let me
know if you have anymore questions.
Answer:
8 : 13
Step-by-step explanation:
ratio of computers to chairs = computers : chairs = 16:26 = 8:13
15/1 x 20/7 dont have a calculator
Answer:
The answer is given below
Step-by-step explanation:
[tex] \frac{15}{1} \times \frac{20}{7} [/tex]
Multiple denominator with denominator and nenominator with nenominator
We ger
[tex] \frac{300}{7} [/tex]
This is the answer
In decimal by dividing 300 by 7 we get
42.8571
And in mixed form we get
[tex]42 \frac{6}{7} [/tex]
The explanation is given in the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Determine the coordinate of the point where
y=x−6 crosses the x-axis.
Answer:
(6, 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
0 = x - 6 ( add 6 to both sides )
6 = x
the line crosses the x- axis at (6, 0 )
Instead of y write 0:
0=x-6
Now solve for x :0=x-6
Add 6 on both sides6=x or x=6
We know the x coordinate of the point that intersects the x axis; the y coordinate is always 0.
Coordinates of the point ↓(6, 0)
In the graph above, the coordinates of the vertices of QPR are Q(3, 0), P(5, 6), and R(7, 0). If AQPR is reflected across
the x-axis to create Q'P'R', find the coordinates of R.
A. (-7,0)
B. (3,0)
C. (5,-6)
D. (7,0)
Answer:
D. (7, 0)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (x, -y)
This means that the x-values stay the same while the y-values change.
Q(x, y) → (x, -y)
Q(3, 0) → (3, 0)
Q'(3, 0)
P(x, y) → (x, -y)
P(5, 6) → (5, -6)
P'(5, -6)
R(x, y) → (x, -y)
R(7, 0) → (7, 0)
R'(7, 0)
Therefore, the correct answer is D.
Hope this helps!
Roy wants to make a path from one corner of his yard to the other as shown below. the path will be 4 feet wide. he wants to find the area of lawn that remains. a rectangle has a height of 40 feet and a base of 15 feet. a 4 feet wide path forms a parallelogram inside of the rectangle. roy claims that the area of the lawn is 300 square feet since it covers exactly one-half of the yard. which statement about his claim is correct? he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 440 sq ft. he is incorrect. the path will have an area of one-half (4) (40) = 80 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 220 sq ft. he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 140 sq ft. he is incorrect. the path will have an area of (9) (40) = 360 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 240 sq ft.
The incorrect claim is A. He is incorrect. The path will have an area of (4)(40)=160 sq ft. The yard has an area of 600 sq ft. The area of the lawn will be the difference of the yard and path, so it is 440 sq ft.
What is an Area?This refers to the quantity used in mathematics to show the extent of a two-dimensional region, shape, or planar lamina, in the plane.
Hence, because Roy wants to make a path from one corner of his yard to the other, he makes an incorrect claim about the area of the yard and the lawn, and option A is the correct answer.
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Helpppp meeeeeeeeeeeeeeee
Answer:
its the same thing as 3 x3 or 3+3 it always come´s back as 9 or 6 Becasue of its rotation
Step-by-step explanation:
Antonio has $15 to spend on a set of colored pencils for his art class. Which number line represents the amount that he can spend on the pencils?
Help meeeee!eeeeeeee
Factorise x2+5x-14
:)
Answer:
Step-by-step explanation:
7 and 2 are the two factors of 14.
One of them (and only 1) must be minus. That is the only way that you can get a minus 14.
The 7 must be plus. It has to larger than 2 in order to get + 5
Answer (x + 7)( x - 2) is how it factors.
Note
Always try using logic on the trinomial before going into the quadratic equation. If either the 5 is minus or the 14 is minus when one of the factors is minus. The sign in front of the middle number is the same as the larger of the two factors. So 7 must larger than 2. 7 is plus 2 is minus
The nth term of a sequence is 5n - 3.
Write down the first three terms of the sequence.
Answer:
2, 7, 12.
Step-by-step explanation:
Substitute n = 1, n = 2 and n = 3:
First term = 5(1) - 3 = 5-3 = 2
Second = 5(2) - 3 = 7
Third = 5(3) - 3 = 12.
Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? Shift f(x) = 3x one unit up and four units to the right. Shift f(x) = 3x one unit up and four units to the left. Shift f(x) = 3x one unit to the right and four units up. Shift f(x) = 3x one unit to the left and four units up.
Answer:
Shift f(x) = 3x one unit to the left and four units up
Step-by-step explanation:
We need to translate :
f(x) = 3x ⇒ g(x) = 3x + 1 + 4Here we need to use a bit of logic.
All of the options involve shifting the f(x) graph one unit and four units in various directions.To shift the graph up by one by horizontal action, we need to move one unit left so the new equation is 3x + 1To shift it up further by 4 vertically, we need to move four units upHence, our final function g(x) is given as :g(x) = 3x + 1 + 4Answer:
Shift f(x) = 3x one unit to the left and four units up
Step-by-step explanation:
put it on test
help meee pleasee!! And get it rightt!!
Answer:
1/6
Step-by-step explanation:
First one red 4 out of 9 = 4/9
now there are 8 marbles left and 3 are red
prob of red is now 3 out of 8 = 3/8
4/9 * 3/8 = 12/72 = 1/6
The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic
inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7
inches?
O 89.24 in³
O 65.97 in³
131.95 in³
197.92 in³
Answer:
197.92 in³
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 3 inh = 7 inSubstituting the given values into the formula:
[tex]\begin{aligned} \implies \textsf{Volume of a cylinder} & =\sf \pi (3)^2(7)\\ & = \sf 63 \pi\\ & = \sf 197.92\:in^3\:(nearest\:hundredth)\end{aligned}[/tex]
Neela is making rectangular place mats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she will need to create a ribbon border around 1 place mat?
180 inches
54 inches
180 square inches
54 square inches
A boy leaves home at 7:30 a.m and cycles to school, 6 km away, arriving at 7:45 a.m. The average speed of the boy as he cycles, in kmh, is (A) 32 (B) 24 (C) 18 (D) 16
Answer:
B) 24
Step-by-step explanation:
distance = 6 km
we want the speed in km/h, so let's turn everything into either km or h if possible
time = 7:45 am - 7: 30 am = 15 minutes
60 minutes = 1 hour
1 hour / 60 minutes = 1
15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15 / 60 hours = 1/4 hours = 0.25 hours
note that we multiply by 1 hour / 60 minutes, not 60 minutes/ 1 hour. this is because we want the minutes to cross out -- because the original is given in minutes ( 15 minutes = 15 minutes/1) and is in the numerator, we need minutes in the denominator of 1 hour/60 minutes to cross it out
km = 6
h = 0.25
km/h = 6/0.25 = 24
Which values of x and y satisfy both
equations below?
y = 3x
y = x + 16
A X= 8, y = 24
B x = 4, y = 20
CX = 4, y = 12
D x = 0, y = 0
2) Tara is trying to find the nth term of the arithmetic sequence 5,8,11, and 14…. Which expression can Tara use to find the nth term? What is the 15th term of the sequence?
Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
a/b + 8/b = ?/b what’s the numerator for the following rational expression
Answer:
Numerator: A + 8
Complete Form: [tex]\frac{A+8}{b}[/tex]
Step-by-step explanation:
Hello!
If we have two fractions that are being added or subtracted with the same denominator, we can simply add up the numerators and keep it over the same denominator.
Let's use this question as an example:
[tex]\frac Ab + \frac 8b = \frac ?b[/tex][tex]\frac {A + 8}{b}[/tex]The problem is basically saying, "If I took A slices from b slices and 8 slices from b slices, how many slices would I have?"
The answer would be A + 8 slices.
Dara and Jo share £420 in the ratio 25.
Calculate how much Dara and Jo receive each.
Answer: 120 And 300
Step-by-step explanation: Ratio 2:5 = 7
1/7 of 420 = 60
Ratio 1 = 60
Ratio 2 = 60 ×2
Ratio 5= 60 ×5
The density of copper is 9.86 g/cm³.
Work out the mass of the solid copper cuboid in kg.
10 cm
3 cm
5 cm
Answer:
1479 gm
Step-by-step explanation:
V = 10 * 3 * 5 = 150 cm^3
150 cm^3 * 9.86 g / cm^3 = 1479 gm
Aladder that is 15 ft. long is leaning against the side of a
building as shown below. If the place where the ladder
touches the level ground is 9 ft. from the base of the
building, how high off the ground does the ladder touch
the building?
H. 12 ft
Given c=15, and a=9, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height
9^2+b=15^2
81+b^2=225
b^2=144
b=12
Height = 12
this quetion is hard for me
Answer:
(1, 4)
Step-by-step explanation:
I use Desmos for any graph related math problems and it's really helpful! It's completely free too. You should check it out :)
Hope this helps!
Suppose Jonathan eats 6 packages of pemmican. He also eats some biscuits. Create an equation that models the total number of calories Jonathan consumes, y, based on the number of biscuits he eats, x, and the 6 packages of pemmican.
Using proportions, it is found that the equation that models the total number of calories Jonathan consumes is given by:
y = 810 + 75x.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem:
Each biscuit has 75 calories, hence x biscuits will have 75x calories.Each package of pemmican has 135 calories, hence 6 packages will have 6 x 135 = 810 calories.Thus, the equation is given by:
y = 810 + 75x.
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Coach Rodriguez is planning an end-of-season celebration for the swim team
To decide what food to serve, she surveys a random sample of students on
the team
Food for End-of-Season Celebration
Which inference is supported by the data collected in the survey?
A. The number of team members who prefer pizza is less than the
combined number of team members who prefer hamburgers or
chicken fingers
B. The number of team members who prefer hamburgers is half the
number of team members who prefer tacos.
C. The smallest number of team members prefer hamburgers.
D. The number of team members who prefer tacos is the same as
the combined number of team members who prefer hamburgers
or pizza
Please help my last question first to answer and the answer is correct will get brainlist and a like and a 5 star please hurry and help
Option D is correct. The number of team members who prefer tacos is the same as the combined number of team members who prefer hamburgers or pizza.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Coach Rodriguez is planning an end-of-season celebration for the swim team.
To decide what food to serve, she surveys a random sample of students on the team Food for End-of-Season Celebration.
We can see that,
The number of team members who prefer tacos = 12
The combined a number of team members who prefer hamburgers or pizza = 7 + 5
= 12.
So, The number of team members who prefer tacos is the same as the combined number of team members who prefer hamburgers or pizza.
The inference supported by the data collected in the survey would be option D.
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Answer:
The number of team members who prefer hamburgers is the same as the combined number of team members who prefer pizza or chicken fingers.
Step-by-step explanation:
Test approved
Fill in the blanks with the correct coefficient.
And if y’all could answer this too that would help
Answer:
the final answer is 2x²+17x-12
so to fill in the blank the first box will be 2 and the second box will be 12
What is the measure of ∠1
A: 56°
B: 73°
C: 107°
ANSWER FAST HURRY! WILL MARK BRAINLEIST WORTH 100 POINTS
Answer: 73
Step-by-step explanation:
Angle B is 180-107=73
Angle 1 is equivalent to B and it is 73
Answer:
C. ∠1 = 73°
Step-by-step explanation:
Angles on a straight line add up to 180°
Therefore:
⇒ ∠1 + 107° = 180°
Subtract 107° from both sides:
⇒ ∠1 + 107° - 107° = 180° - 107°
⇒ ∠1 = 73°
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form
The value of sin D, sin E , cos D , and cos E in simplest fraction form are as follows:
Sin D = 4 / 5
sin E = 3 / 5
cos D = 3 / 5
cos E = 4 / 5
Trigonometric ratios:The simplest trigonometric ratios expression are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentTherefore,
Sin D = opposite / hypotenuse = 12 / 15 = 4 / 5
sin E = opposite / hypotenuse = 9 / 15 = 3 / 5
cos D = adjacent / hypotenuse = 9 / 15 = 3 / 5
cos E = adjacent / hypotenuse = 12 / 15 = 4 / 5
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Answer:
The Numbers are rounded btw
Sin D = 28.1 As a fraction 281/10
Cos D = 31.9 As a fraction 319/10
Cos E = 31.9 As a fraction 319/10
Step-by-step explanation:
Sin= opposite/ hypotnuse
Con= addjacent/ hypotnuse
if you cant tell which side the hypotnues if on, it is always opposite from the 90 degree mark.
Now that you know how to make the fraction for Sin and Con, you would have to use a graphing calulator, plug in Sin^-1 or Con^-1 what ever the sign is and put the fractions in ( ) next to it and it will give you the decmle. Also using a graphing calculator is 100% allowed in this type of math.
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What is a unit fraction?
two parts of a whole
a whole
one part of a whole
the bottom number in a fraction
Answer:
denominator
Step-by-step explanation:
the upper part is numerator
so the lower is denominator
Answer:
one part of a whole
Step-by-step explanation:
A unit fraction shows one part of a whole number
(*) Sorry for my late answer but I hope this helps others that are looking for this.
I got 100% (edge) ;)
A lemonade recipe calls for 1/4
cup of lemon juice for every 1 cup of water.
Drag the movable points to plot the pairs in the table.
Answer:
...
Step-by-step explanation:
0.25 cup of lemon juice every 1 cup of water.
If you multiply it 4 times it would be 1 cup of lemon juice for every 4 cups of water.