The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
Learn more about the perimeter here:
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For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8
Answer:
The x-intercept is at
✔ (6, 0)
The y-intercept is at
✔ (0,-2)
Step-by-step explanation:
this is for the second question of this problem
Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?
Please help me, thank you very much!! <3
Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
Equation B: 3x+2x+6=6x-5 ( does that have one solution, no solution, or many solutions?) and explain why
It has one solution.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Matching mathematical terms and definitions
Piece of line with two endpoints = line segment
Two rays with common endpoint = angle
Piece of line with one endpoint = ray
All coplanar points equidistant from a given point = circle
----------
side note: you could use two lines or segments to construct an angle. You don't necessarily have to use two rays.
which is not an equation of the line going through (3, -6) and (1, 2)
a. y-2=-4(x-1)
b. y-1=_4(x-2)
c. y=-4x+6
d. y+6=-4(x-3)
Answer:
The answer is B.
Step-by-step explanation:
Just took the quiz on A P E X .
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.
The values of a and b are 2 and 11 respectively.By completing the square method;
a = (4/2) = 2.
Therefore, by expanding (x+a)² i.e (x+2)²
We therefore have; x² + 4x + 4
However, the question is given as x²+4x-7
Therefore, by comparison between;
x² + 4x + 4 and x²+4x-7; we have;
4 - b = -7, b = 7+4
Ultimately, b = 11
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pls help asap!! I dont get it
Answer:
All of the angles are 60°, because 180÷3 is 60. so the measure of angle b plus the measure of angle a and angle c is equal to 180°. The measure of angle a + 120° is 180
Answer:
See below
Step-by-step explanation:
a and 120 form a straight line so they add to 180
a + 120 = 180
Subtract 120 from each side
a = 180-120
a = 60
The sum of the angles of a triangle add to 180
b+ a + 60 =180
b + 60 + 60 = 180
b+120 = 180
Subtract 120 from each side
b = 180-120
b = 60
The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760
Answer:
750
Step-by-step explanation:
Applying for credit from any place pulls your credit report. When your credit report is pulled, your score decreases some.
However, this will not have a large effect on your score, so 750 would most likely be the new score.
Getting a store credit card affects the credit score a little bit, so the answer would likely be D.
please mark brainliest :)
Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}
Answer:
A
Step-by-step explanation:
The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.
Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years
This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.
Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?
Answer:
Which of the decimals in the problem should be represented as a negative rate?
2.2 mm/year
Which two factors should Ericka multiply to find the total variation in water level?
6.2 years and –2.2 mm/year
Step-by-step explanation:
2.2 is represented as a negative integer because the problem said the key word "fell."
You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.
Answer:
2.2 mm/year 6.2 years and -2.2 mm/year
The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5
Answer:
The length of arc 'l' = 9.5
Step-by-step explanation:
Explanation:-
Given radius of the pendulum r = 25
The tip of a pendulum moves through an angle of 0.38 radians
θ = 0.38 radians
The length of arc 'l' = rθ
'l' = (25)(0.38)
The length of arc 'l' = 9.5
which statement best describes the function below? \f(x)=2x^2-3x+1
Answer:
what are the two answers?
please help me with 4 more questions ill give brainliest plesase!!
Answer:
(- 1, - 1 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is
(- 3, - 3 ) → ([tex]\frac{1}{3}[/tex] × - 3, [tex]\frac{1}{3}[/tex] × - 3 ) → (- 1, - 1 )
At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?
Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Hopes This Helps
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
What is the product of -2.49 and 2.24?
Answer:
-5.5776
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
Answer:
Hey!
Your answer is -5.5776!
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
That is your solution!
HOPE THIS HELPS!!
is ABC similar to DEF why or why not
Answer:
They are not similar
Step-by-step explanation:
Whenever two shapes are similar, they must have corresponding equal measure angles. Since two of the angles in these triangles are slightly different, they cannot be similar since the side lengths will now have unequal proportions. Hope this helps!
In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true?
Answer:
(D) Side B A corresponds to Side E D.
Step-by-step explanation:
Took on Edge and got it correct
the radius of a circle is 2 in. Find the circumference to the nearest tenth?(urgent)
Answer:
C = 12.6 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2* pi*r
Using 3.14 for pi and 2 for r
C = 2 * 3.14 *2
C =12.56
To the nearest tenth
C = 12.6 inches
Answer:
[tex] = 12.56 \: in[/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ = 2 \times \pi \times 2 \\ = 4 \times \pi \\ = 12.56 \: \: in[/tex]
hope this helps you
A typical dove weighs 345g. A typical duck weighs 1.2kg. What is the difference, in grams, of the weights of a duck and a dove?
Answer:
855 grams
Step-by-step explanation:
First convert the 1.2kg into grams.
1.2kg=1200 grams.
Now we have equal units of measurement. We then subtract: 1200g-345g=855g
2 - (7/8 - 3/4) /'s are fractions
Answer:
[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]
Answer:
Brainliest here!
Step-by-step explanation:
2- (7/8 -6/8) = 2-1/8
simplify = 1 7/8 or 15/8
subtract the difference of p and a from 3
Answer:
see below
Step-by-step explanation:
Translating this into math we get 3 - (p - a).
The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
Learn more about the supplementary angle here;
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HELP ME PLEASE! (25 POINTS!)
Destiny has $60 in a savings account that earns 3% interest, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answer:
Step-by-step explanation:
$60 * 3% = $1.80
y = 1.80x + $60
12 * 2 = 24
24 = x
y = 1.80(24) + $60
y = $43.20 + $60
y = $103.20
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
Find the answer. 3 1/3 x -3 1/6 =
Answer:
=-10 5/9
Step-by-step explanation:
Let's simplify step-by-step. 31/3 x− 31/6
Times the numbers
=-10 5/9
Description:
The first step is to simplify the equation 3 1/3 x -3 1/6 =. When your done simplify the equation your answer will end up as =-10 5/9
Please mark brainliest
Hope this helps.
Answer:
[tex]-10\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{3}\times \:-3\frac{1}{6}[/tex]
[tex]\frac{10}{3}\times \:-\frac{19}{6}[/tex]
[tex]-\frac{10\times \:19}{3\times \:6}[/tex]
[tex]-\frac{190}{18}=-\frac{95}{9}[/tex]
[tex]-10\frac{5}{9}[/tex]
Someone help me ASAP please
Answer:
Step-by-step explanation:
use a^2+b^2=c^2.
5^2+7^2=c^2
25+49=c^2
sqrt74= 8.6 so side c is about 8 units
Answer:
C. about 8 units
Step-by-step explanation:
correct answer is c
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)
Answer:
-10x + y = 63
Step-by-step explanation:
Let's find the slope of this line. Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10). Thus, the slope, m, is m = rise / run = 10 / 1 = 10.
Using the point-slope version of the equation of a straight line, we get
y + 7 = 10(x + 7)
Performing the multiplication results in
y + 7 = 10x + 70.
Rearranging these terms in the form Ax + By = C, we get:
-10x + y = 63
Check this by substituting -6 for x and 3 for y:
-10(-6) + 3 = 63 This is TRUE
÷)))))))))))))))))))
Answer: x ≤ 16 y≥ 16
Step-by-step explanation:
-150x ≥ -2400 divide both sides by -150 and the sign will flip because you x≤16 diving by a negative number
-336 ≥ -21y
y ≥ 16
Answer:
x ≤ 16 y≥ 16
Step-by-step explanation:
Hope this helps :D