Answer:
7 , 11
Step-by-step explanation:
Let the second number be 'x'
the first number = x - 4
Twice the second number : 2*x = 2x
5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20
13 less than 5 times the first = 5x - 20 - 13 = 5x - 33
5x - 33 = 2x
Add 33 to both sides
5x - 33 + 33 = 2x +33
5x = 2x + 33
Subtract '2x'from both sides
5x - 2x = 2x - 2x + 33
3x = 33
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{33}{3}[/tex]
x = 11
First number = x - 4 = 11 - 4 = 7
The numbers are 7 , 11
An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
windows are of the form ax +b, where a and b are whole numbers.
Part 1 out of 2
Find an expression for the perimeter of the windows.
The perimeter of the square is represented by
(x+
6 ft.
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
Step-by-step explanation:
I filled two notebook papers to solve this
Hwhhehehebehehehejensnsnsnsnsne
Answer:
djdmfkdkdjdj
Step-by-step explanation:
jfjffmfkdnfjdjdndkd
A diagram shows the dimensions for a local botanical garden. Measure the parallelogram to the nearest 1/4 inch. What is the area of the botanical garden diagram in square inches?
Answer:
4.8 in2
Step-by-step explanation:
2.4 x 2 =4.8
tell me if I'm wrong
Answer:
Step-by-step explanation:
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
What are the mean,median and range for the monthly sales of the product?
Answer:
Option D
Step-by-step explanation:
mean=(∑x/N)=(1100+5000+2000+10100+8000/6)
=(34200/6)=$5700
________________-
median: =>
$1100,$2000,$5000,$8000,$8000,$10100
==>(5000+8000/2)=$6500
_______________
Range=maximum-minimum=10100-1100
==>$9000
so your answer is Option D
hope it helps...
have a great day!!
PLLLSS HELP MMEE FAASSTT
In a triangle, two of the angles are 45 degrees and 70 degrees. What is the measure of
the third angle in this triangle? Explain how you got your answer.
*Use the term TRIANGLE SUM THEOREM in your explanation.
Answer:
65
Step-by-step explanation:
the sum of interior angles in a triangle equal to 180°
so 45+70=115
180-115=65
select all expression that are equivalent to 64 2/3.
Answer:
Option B and DStep-by-step explanation:
As,
[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]
PLEASE ANSWER ASAP!!!The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Nevaeh is a cruise specialist and earned $486 commission after booking a cruise that cost $5,400. What is her rate (in %) of commission?
372.3 in expanded notation
Answer: Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Step-by-step explanation:
I
4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?
The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Learn more here: https://brainly.com/question/10369514
GIVING BRAINIEST to who ever answers hurry
Answer:
x=10
Step-by-step explanation:
50+x=6x
-x -x
50=5x
/5 /5
x=10
helpp will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2
solve the system using substitution x=-4y y=2x+9
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
Jordan needs 5 pounds of chips for a party. The bags he is buying are 24 oz each. According to the number line, how many bags will he need to buy to have at least 5 pounds?
Answer:
3.33 but he cant buy 3 and 1/3 of a bag of chips so 4
Step-by-step explanation:
The diagram shows a rhombus inside a regular hexagon
Work out the size of x
Answer:
add a picture
Step-by-step explanation:
Give one word for the following.
To find the way, carefully and safely
GPS.....................GPS..............................................................................................
a clothing distributor sold an $80 coat at a discount price of $73. what was the percentage of discount for the coat?
Answer:
91%
Step-by-step explanation:
The discount is $73 so we would get 73/80.
73/80 is also known as 73÷80
which would equal 0.9125
if we were to covert and round it to a percent, it would be 91%
I need help please. I don’t know if I’m right.
9514 1404 393
Answer:
C. 13 — your choice is correct
Step-by-step explanation:
The part of A that is outside of B is the region identified as I. It has a population of 13, as you have marked.
AB' = 13
How much simple interest is earned on a principal of $700 after 5 years if the account pays 3% annually?
Answer:
21.15
Step-by-step explanation:
700 + 5 = 705
3% of 705 = 21.15
What’s the answer for 18 and 19?
Answer:
18. 3,0 19. 0,5
Step-by-step explanation:
Write the expression 5^2/3 without using exponents
The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.
Whole numbers, exponents and fractionsWhole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.
The expression 5²/3 having an exponent can be rewritten as follows:
5²/3 = (5 × 5)/3
5²/3 = 25/3
Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.
Learn more about exponents here: https://brainly.com/question/11975096
#SPJ1
Help pls I need it someone
Answer:
search up demos graphing calculator and plug in the numbers there.
Step-by-step explanation:
its super easy to use try it :)
a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long does it take for 440 farmers to harvest the crop
Answer:
110 = 12
110 + 110 + 110 + 110 = 440
so 110 × 4 = 440
4 × 12 = 48 days
hope this helps
Find the value of x.
6
14
3x-12
21
x = [?]
Find the volume (in cubic inches) of an exercise ball with a radius of 17 inches. (Round your answer to one decimal place.)
Answer:
20579.52628
Step-by-step explanation:
4/3 pi(r^3)
4/3 pi x 17 x 17 x 17
= 20579.52628
Answer:
20579.5
Step-by-step explanation:
The formula for The volume of a Sphere is 4/3 pi r^3
so it would be 4/3pi * 4913
4.19666666....* 4913 which would equal to 20.579.53333333333 or 20579.5
if you invest $1,600 at 5.35% for 18 months how much simple interest is earned
Answer:
Step-by-step explanation:
Answer:
1540.8
Step-by-step explanation:
i=prt
i= 1600(.0535)(18)
i=1540.8
also i is equal to interest, p is equal to principal, r is equal to rate and t is equal to time.
This Inflatable Crayon has a diameter of 8 in a length of 40 inches and is topped with a cone shaped tip with a height of 12 inches Round your answer to the nearest tenth of an inch.
Answer:
Assuming you want to know the volume,
volume = 2210.6 in³
Step-by-step explanation:
radius = diameter/2 = 8/2 = 4 in
area of base = πr² = (3.14)(4²) = 50.24 in²
volume of tube portion = base area x height = 50.24 x 40 = 2009.6 in³
cone volume = 1/3bh = 1/3(50.24)(12) = 200.96 in³
total volume = 2009.6 + 200.96 = 2210.56 in³
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
The expression 52 - 4 of (17 - 12) + 4 × 7 is equal to
70
60
50
48
Answer:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Step-by-step explanation:
Given expression;
52 - 4 of (17 - 12) + 4 × 7
Find:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7
Computation:
52 - 4 of (17 - 12) + 4 × 7
Using BODMAS rule;
52 - 4 of (17 - 12) + 4 × 7
52 - 4(17 - 12) + 4 × 7
52 - 4(5) + 28
52 - 20 + 28
80 - 20
60
So,
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60