Answer:
length = 28 cmwidth = 12 cmStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 80cm
The length is 4 inches longer than twice the width is written as
l = 4 + 2w
Substitute this into the formula and solve for the width
That's
80 = 2( 4 + 2w) + 2w
80 = 8 + 4w + 2w
6w = 80 - 8
6w = 72
Divide both sides by 6
w = 12 cm
Substitute w = 12 cm into l = 4 + 2w
That's
l = 4 + 2(12)
l = 4 + 24
l = 28cm
Therefore
length = 28 cm
width = 12 cm
Hope this helps you
2) A straight path that has no end and no thickness is known as
Answer:
a line
Step-by-step explanation:
how do I write 5(x + 6) as a verbal expression
Answer:
five times the value of 6 more than a number
Step-by-step explanation:
five times = 5 •
6 more = 6 +
a number = x
5(x + 6)
Max is organizing a trip to the airport for a
group of 75 people. He can use two options
from Uber:
• An UberX costs $40 to the airport and
can hold 4 people.
• An UberXL costs $63 to the airport and
can hold 7 people.
If Max orders 6 UberXL and 9 UberX, what
will be the total cost for the trip to the
airport?
Answer:
$738
Step-by-step explanation:
Uber X costs $40
Max orders 9
$40.00·9=$360.00
Uber XL costs $63
Max orders 6
$63.00·6=$378
$360.00+$378.00=$738
Hope this is helpful :-)
A person is 5.5 feet tall. Do you know their height in inches?
Answer:
66
Step-by-step explanation:
The height of the person in inches by unit conversion will be 66 inches.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that,
1 feet = 12 inches
Multiply both sides by 5.5
5.5 feet = 12 x 5.5 = 66 inches
Hence "The height of the person in inches by unit conversion will be 66 inches".
To learn more about unit conversion,
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Which statement is a theorem? A) Three noncollinear points determine a plane. B) Through any two points there is exactly one line. C) A rectangle is a parallelogram with four right angles. D) If C lies on AB and is between A and B, then AC + CB = AB.
Answer:
D) If C lies on AB and is between A and B, then AC + CB = AB.
Step-by-step explanation:
Statements A, B and C are postulates while statement D is a theorem.
A postulate is a statement that is true but cannot be proven, but a theorem is a statement that can be proven.
The statement D is the betweenness theorem for points. It states that If C lies on AB and is between A and B, then AC + CB = AB.
This statement can be proven, so it is a theorem.
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names or "y" to describe the unknowns.
six divided by a number
Answer:
[tex]\frac{6}{y}[/tex]
Answer:
6/y.
Step-by-step explanation:
If the number is y then the expression 6/y.
What are the points
Answer:
There are 9 dots. So 9.
Step-by-step explanation:
Just take my word for it.
answer it answer it answer it
Answer:
The correct option is;
C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2
Step-by-step explanation:
The area of the square frame is the area of the inner square subtracted from the area of the outer square
Which gives;
52.2² - 47.8² = 440
Therefore;
Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame
Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is a correct way of finding the area of the square frame
Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame
The error is the thickness is 2.2 not 4.4
Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440, is a correct way of finding the area of the square frame
What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75
Answer:
the answer is D
Step-by-step explanation:
refer to the picture given
Question is in the image
=====================================================
Explanation:
The blue parent function has a positive coefficient of 1. The purple g(x) function is a reflection of f(x) over the x axis, so everything is now negative. The coefficient must be negative as well.
But the answer is simply not g(x) = -x^2 because plugging x = 3 does not lead to y = -6 as the point (3,-6) shows.
Let's say the coefficient is k for now. So we have y = kx^2
Plug in x = 3 and y = -6. Solve for k
y = kx^2
-6 = k(3)^2
-6 = k*9
9k = -6
k = -6/9
k = -2/3
So we update y = kx^2 into y = (-2/3)x^2
Meaning that g(x) = (-2/3)x^2 is the equation of the purple curve.
Plug x = 3 into g(x) to find that
g(x) = (-2/3)x^2
g(3) = (-2/3)(3)^2
g(3) = (-2/3)(9)
g(3) = -6
which is the output we want, so this confirms we have the correct coefficient.
Answer:
y=(-2/3)x^2
Step-by-step explanation:
A rectangle has an area of 24 square inches. If the side
lengths of the rectangle are integers, which of the
following could be the perimeter of this rectangle?
Answer:
Possible perimeters:
50 inches, 28 inches, 22 inches, 20 inches.
Step-by-step explanation:
Given that:
Area of triangle = 24 square inches
Side lengths of rectangle are integers.
To find:
Possible perimeter of this rectangle = ?
Solution:
Here, options are missing, so let us calculate all possibilities for the perimeter.
The formula for Area of a rectangle is given as:
[tex]A = Length \times Width[/tex]
Let us make integer factors of 24 first of all.
[tex]24 = 1 \times 24\\24 = 2 \times 12\\24 = 3 \times 8\\24 = 4 \times 6[/tex]
These are the four possibilities of length and breadth.
Let us calculate the possible perimeter for each case using the formula for perimeter:
[tex]Perimeter = 2\times (Length + Width)[/tex]
1st possible option:
[tex]Perimeter = 2\times (1+ 24) = 50\ inches[/tex]
2nd possible option:
[tex]Perimeter = 2\times (2+ 12) = 28\ inches[/tex]
3rd possible option:
[tex]Perimeter = 2\times (3+ 8) = 22\ inches[/tex]
4th possible option:
[tex]Perimeter = 2\times (4+ 6) = 20\ inches[/tex]
The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of intervals.
Answer: D = {-5 ≤ x ≤ -2 or 1 ≤ x < 5}
Step-by-step explanation:
When we have a function f(x) = y, the domain is defined as all the possible values of x that the function maps into other values.
In our graph, we can see two curves.
The first one (the one at the left)
Has two black dots, one at x = -5, and other at x = -2
(black dots means that the value is included, white dots means that the value is not included)
So this first part of the domain is:
-5 ≤ x ≤ -2.
Now, the second part has a black dot in x = 1, and a white dot in x = 5, so we can write this part of the domain like:
1 ≤ x < 5
Then the domain of our function is:
D = {-5 ≤ x ≤ -2 or 1 ≤ x < 5}
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items? 25 seconds 25.4 seconds 25.35 seconds 26.1 seconds
Answer:
B
Step-by-step explanation:
25.4
The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.
What is Mean?The mean of average is the ratio of the sum of observations and the number of observations.
Janette was timed by a store manager as she folded and stored a scarf, a shirt, a pair of trousers, and a jumper. Her time for the shirt was 26.1 seconds, the jumper 24.3 seconds, the trousers 32.8 seconds, and the scarf 18.2 seconds.
The average time Janette to fold and put away all four items will be given as,
Average = (26.1 + 24.3 + 32.8 + 18.2) / 4
Average = 101.4 / 4
Average = 25.35
The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.
More about the mean link is given below.
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find the length of UX
Answer:
The answer is C. 76.53
marl borrowed $200 a 12% simple interest for one year. If he makes no payment that year, how much interest will he owe at the end of the year?
Answer:
He will owe $24 interest at the end of the year.
Step-by-step explanation:
Formula for finding Simple Interest:
S.I = PRINCIPAL × RATE × TIME/100
S.I = 200 × 12 × 1/100
S.I = $24
$24 is the Simple Interest.
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is 11/16
Determine the numbers algebraically.
PLEASE HELP ASAP(50Points)
- thank you in advance :)
Step-by-step explanation:
new numbers are x+4 and x-1so, x+4/x-1=11/16
16x+64=11x-11
16x-11x=-11-64
5x=-75
x = -15
also, x+1 = -14
x =first number
x+1 = second number
(x) + 4 = x + 4 = 1 ^ new number [first number + 4]
(x + 1) -2 = x - 1 = 2 ^ new number [second number - 2]
[tex]\frac{x+4}{x-1}=\frac{11}{16}[/tex]
now, we resolve it:
[tex]\frac{16(x+4)-11(x-1)}{16(x-1)}=0[/tex]
[tex]\frac{16x+64-11x+11}{16x-16}=0[/tex]
[tex]\frac{5x+75}{16x-16}=0[/tex]
we eliminate the denominator and do c.e.: 16x - 16 ≠ 0; 16x ≠ 16; x ≠ 1
5x + 75 = 0
x = - 15
so x + 1 = - 14
But what you ask are two positive numbers! Are you sure that you write correctly the question? Thank you
b. Emily is the most popular name among the 1,994,317 females born in 2000. There were
25,952 Emilys born that year. What percentage of all female births is this?
Answer:
1.3%
Step-by-step explanation:
percent = part/total × 100%
percent = 25,952/1,994,317 × 100%
percent = 1.30129...%
Answer: 1.3%
-5+9+(-5)+(-10)+(1) is equal to
Answer:
- 10
Step-by-step explanation:
Distribute the '+' into the '-' and simplify:
-5+9+(-5)+(-10)+(1) =
-5 + 9 - 5 - 10 + 1 =
-10
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{ - 10}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 5 + 9 + ( - 5) + ( - 10) + 1}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains in same.
⇒[tex] \sf{ - 5 + 9 -5 - 10 + 1}[/tex]
Calculate
⇒[tex] \sf{ 4 - 5 - 10 + 1}[/tex]
⇒[tex] \sf{ - 1 - 10 + 1}[/tex]
⇒[tex] \sf{ - 11 + 1}[/tex]
⇒[tex] \sf{ - 10}[/tex]
Hope I helped!
Best regards!!
2×( 1 1/2 – x) is the same as 2 1/3+ 1/15. x=?
Answer:
x = 3/10
Step-by-step explanation:
2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3
1 1/2 = 1 + 1/2 = 2/2 + 172 = 3/2
2(1 1/2 - x) = 7/3 + 1/15
2(3/2 - x) = 35/15 + 1/15
2*3/2 + 2*-x = 36/15
3 - 2x = 36/15
-2x = 36/15 - 3
-2x = 36/15 - 45/15
-2x = -9/15
x = (-9/15)/-2
x = -9 / (15*-2)
x = 9/30
x = 3/10
verify:
2(3/2 - 3/10) = 36/15
2*3/2 + 2*-3/10 = 36/15
3 - 6/10 = 36/15
30/10 - 6/10 = 36/15
24/10 = 36/15 = 72/30
an online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How many pounds is a dvd player for which a shipping charge is $11.94?
Answer:
The weight is 9 lbs
Step-by-step explanation:
flat fee + price per found * pounds = total charge
6.99 + .55 * p = 11.94
Subtract 6.99 from each side
6.99 + .55 * p - 6.99= 11.94-6.99
.55p =4.95
Divide each side by .55
.55p/.55 = 4.95/.55
p =9
The weight is 9 lbs
1. Which of the following statements is true about the numbers 4.5,-6,12,-1.1? * BRAINLIEST PRIZE!
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
Numbers:
4.5,-6,12,-1.1Let's see which option is correct:
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
4.5 in not an integer, it is incorrect-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
4.5 is not a whole number, this is incorrect4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Correct12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
-1.1 is not and integer, 4.5 is not a whole number, this is incorrectFinding area and perimeter
A square with sides of length 21m.
5x+- 4(x + 5) +19 - 6x
Answer:
-5x-1
Step-by-step explanation:
5x+- 4(x + 5) +19 - 6x
Distribute
5x -4x -20 +19 -6x
Combine like terms
-5x-1
Answer:
-5x-1Step-by-step explanation:
[tex]5x+- 4(x + 5) +19-6x\\5x +(-4x-20)+19-6x\\\\5x -4x-20+19-6x\\\\Add \:similar\:elements\\5x-4x-6x-20+19\\\\=-5x -1[/tex]
What is the value of 21 + 6² - (35 - 8) ×3? A. 90 B. 0 C. -24 D. -54
Answer:
C. -24
Step-by-step explanation:
Hello!
To solve this we have to follow the order of PEMDAS
Parenthesis, exponents, multiplication and division, addition and subtraction
[tex]21 + 6^{2} - (35 - 8) * 3[/tex]
Parenthesis first
[tex]21 + 6^{2} - (27) * 3[/tex]
Exponents next
21 + 36 - 27 * 3
Multiplication and division from left to right
21 + 36 - 81
Addition and subtraction from left to right
57 - 81 = -24
The answer is C.-24
Hope this helps!
Answer:
C. -24Step-by-step explanation:
[tex]21+6^2-\left(35-8\right)\times \:3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(35-8\right)\::\quad 27\\\\=21+6^2-27\times \:3\\\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\\\=21+36-27\times \:3\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\times \:3\::\quad 81\\\\=21+36-81\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:21+36-81\::\quad -24\\\\=-24[/tex]
-2z + 3 + 7z= -12 A. z = -3 B. c = -c + 2 C. c + 2 = c -2 D. c - c = 2 Help me pleeeaasseee <3
Answer: Choice A) z = -3
====================================
Work Shown:
-2z + 3 + 7z= -12
5z+3 = -12
5z = -12-3 .... subtract 3 from both sides
5z = -15
z = -15/5 .... divide both sides by 5
z = -3
Answer:
A. z = -3
Step-by-step explanation:
B, C, and D have the wrong variable in the answer
-2z + 3 + 7z = -12
5z + 3 = -12
5z = -15
z = -3
Is 2:4 and 42:84 equivalent?
Answer:
Yes.
Step-by-step explanation:
They are both divisible by 21.
Answer:
Yes
Step-by-step explanation:
They both equal one half
Write an equation for the nth term of the arithmetic sequence. Then find a50.
8, 2, -4, - 10,
The equation for the nth term of the arithmetic sequence is -6n + 14 and the found 50 is -286.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6.
Arithmetic is the branch of mathematics that studies numbers by performing various operations on them. A sequence is a numerically ordered list. The three dots indicate that the pattern should be continued. The difference is six.
a + d(n - 1)
a = 8 (first term)
d = -6 (common difference)
8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14
Find a 50:
-6(50) + 14
= -300 + 14
= -286
Therefore, the equation for the nth term of the arithmetic sequence is -6n + 14.
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What is the value of k?
Answer:
k = 3Step-by-step explanation:
The vertex is (d, e)
for quadratic function: f(x) = ax² + bx + c we have:
d = -b/a and d = (x₁ + x₂)/2
a = 1, b = k, x₁ = -4, x₂=-2
so:
d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3
-k = -3
k = 3
Find the missing vertex (5,3) (-5,3) (-5,-1)
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer:
21 : 22
Step-by-step explanation:
Boys : Girls = 7 : 8
Let the number of boy = 7x
the number of girls = 8x
Number of boys after 20% increase = 120% of 7x
= 1.2 * 7x
= 8.4 x
Number of girls after 10% increase = 110% of 8x
= 1.1 * 8x
= 8.8x
After increase in number of boys & girls ,
= 8.4x : 8.8x
= 84 : 88 { reduce to simplest form by giving by 4th table}
= 21 : 22