Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
We can represent each ratio as a fraction, then use the cross products property to find the value of x.
[tex]\frac{3}{12} = \frac{x}{16} \\\\\\16\cdot3=48\\\\48\div12=4[/tex]
Hope this helped!
Please answer now question
Answer:
1664 yd²Step-by-step explanation:
P = 2•(¹/₂•24•16) + 2•(20•20) + 24•20 = 384 + 800 + 480 = 1664 yd²
define a ploynomial with real coeffients
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable is called polynomial. A polynomial with real coefficients is a product of irreducible polynomials of first and second degrees.
a man bought a set of furniture listed 2350. he received a discount of 5% and then paid 3 % sales tax on the selling price. the sales tax was
Answer:
Sales tax on selling price: $2232.50(0.03) = $66.98
Step-by-step explanation:
List price: $2350
5% discount: 0.05($2350) = $117.50
Sale (selling) price: List price less discount: $2350 - $117.50 = $2232.50
Sales tax on selling price: $2232.50(0.03) = $66.98
In a Quadrilateral, two of the angles each have a measure of 110°, and the measure of the third angle is 90°. What is the measure of the remaining angle?
Answer:
50°
Step-by-step explanation:
The total measurement of the sum of the interior angles is 360.
It is given that two of the angles has a measurement of 110. The third angle has a measurement of 90. Let the unknown measurement angle = x. Set the equation:
110 + 110 + 90 + x = 360
Combine like terms:
(110 + 110 + 90) + x = 360
310 + x = 360
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 310 from both sides:
310 (-310) + x = 360 (-310)
x = 360 - 310
x = 50
50° is the measurement of the remaining angle.
In Exercise 4, find the surface area of the solid
formed by the net.
Answer:
535.2 cm²
Step-by-step explanation:
The surface area the solid formed by the net in exercise 4 can be calculated by finding the area of each part that makes up the net.
The net consists of 2 triangles and 3 rectangles.
Each triangle has a base (b) of 8 cm and a height (h) of = √(8² - 4²) (using Pythagorean theorem)
height = 6.9cm
Each rectangle has length (l) of 20cm, and width (w) of 8cm
Therefore, Surface Area (S.A) = area of 3 rectangles + area of 2 triangles
S.A = 3(l*b) + 2(½*b*h)
S.A = 3(20*8) + 2(½*8*6.9)
S.A = 3(160) + (1*8*6.9)
S.A = 480 + 55.2 = 535.2 cm²
Last year, Marla planted x rows of tomatoes in her garden, and each row has (x + 5) tomatoes. This year she increased the number of rows by 3 and doubled the number of tomatoes in each row. How many more tomatoes did Marla plant this year than last year?
Answer:
8
Step-by-step explanation:
rows=x
each row=(x+5) tomatoes
she increased the number of rows by 3
and doubled the number of tomatoes in each row
3multiplied by x=3x
(2x+10) because she doubled them
3x+10÷2x
=8
I've tried I hope this helps
find the midpoint of the line segment whose endpoints are
(5,9) (2,-1)?
Answer:
(3.5,4)
Step by step explanation:x coordinate =
[tex] \frac{5 + 2}{2} [/tex]
= 3.5
y coordinate =
[tex] \frac{ - 1 + 9}{2} [/tex]
= 4
midpoint = (3.5,4)
Answer:
( 3.5,4)
Step-by-step explanation:
To find the midpoint
Add the x coordinates together and divide by 2
(5+2)/2 = 7/2 = 3.5
Add the y coordinates together and divide by 2
(9+-1)/2 = 8/2 = 4
( 3.5,4)
Correct answer gets 5 stars and brainliest
Answer:
12
Step-by-step explanation:
Since this is a right triangle ,we can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + 5^2 = 13^2
a^2 +25 = 169
Subtract 25 from each side
a^2 = 169-25
a^2 = 144
Taking the square root of each side
sqrt(a^2) =sqrt(144)
a = 12
A box of 15 cookies cost nine dollars what is the cost of one cookie
Answer:
$1.67
Step-by-step explanation:
Divide 15 by 9 to find the price of one cookie:
15/9 = 1.67
= approximately $1.67
2e - 3f = 4
2e - 5f = 8
solve this linear equation by the elimination method
please show your working ✨✨THANK YOU
Answer:
The value of e is -1 and f is -2.
Step-by-step explanation:
The steps are :
[tex]2e - 3f = 4 - - - (1)[/tex]
[tex]2e - 5f = 8 - - - (2)[/tex]
[tex]2e - 3f - 2e - ( - 5f) = 4 - 8[/tex]
[tex]2f = - 4[/tex]
[tex]f = - 4 \div 2[/tex]
[tex]f = - 2[/tex]
[tex]substitute \: f = - 2 \: into \: (1)[/tex]
[tex]2e - 3( - 2) = 4[/tex]
[tex]2e + 6 = 4[/tex]
[tex]2e = 4 - 6[/tex]
[tex]2e = - 2[/tex]
[tex]e = - 2 \div 2[/tex]
[tex]e = - 1[/tex]
To solve this system of equations by addition, our first goal is to cancel
out one of the variables by adding the two equations together.
However, before we add, we need to cancel out a variable.
I would choose to cancel out the e's.
To do this, we need a 2e and a -2e and
here we have a 2e in both equations.
If we multiply the second equation by -1 however,
that will give us the -2e we are looking for.
So we have (-1)(2e - 3f) = (4)(-1).
So rewriting both equations, our first equation stays the same
but our second equation becomes -2e + 3f = -4.
Notice that every term in the second
equation has been multiplied by -1.
2e - 3f = 4
-2e + 5f = -8
Now when we add the equations together,
the e's cancel and we have 2f = -4 so f = -2.
To find e, plug -2 back in for f in the
first equation to get 2e - 3(-2) = 4.
Solving from here, e = -1.
Note that e comes before f in our final answer, (-1, -2).
To determine which variable should go first
in your answer, use alphabetical order.
Simplify 5 x 5^2 leaving your answer in index form.
Answer:
5^3
Step-by-step explanation:
5^1 x 5^2
indices rules when multiplying you add the powers to 1+2=3
5^3
We want to factor the following expression:
(x+4)^2 -4y^5 (x+4) + 4y10
We can factor the expression as (U – V)2 where U and V are either constant integers or single-variable
expressions.
1) What are U and V?
Answer:
U = x + 4 and V = 2y^5.
Step-by-step explanation:
Square root of (x + 4)^2 = x + 4
Square root of 4y^10 = 2y^5
U = x + 4 and V = 2y^5.
(U - V)^2 = U^2 - 2UV + V^2
= (x + 1)^2 - 2 (2y^5 (x + 1) + 4y^10
= (x + 1)^2 - 4y^5 (x + 4) + 4y^10
Answer:
U = x + 4 and V = 2y^5.
Step-by-step explanation:
Quadratic and Ratios...
Answer:
x=0
Step-by-step explanation:
in the quadratic formula to only have one solution
[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]
so we have
[tex]ax^2+b=c[/tex]
[tex]ax^2+(b-c)=0[/tex]
if we insert in the formula we have
[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]
[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0
[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]
Write the following as an algebraic expression. Then simplify.
The sum of two consecutive odd integers if the first integer is x.
Answer:
2x+2
Step-by-step explanation:
The first odd integer is x
The second odd integer is x+2
The sum
x+ x+2
2x+2
I am unable to find the answer to this pleas help me
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of 600 is 150
hope this helps
plz mark as brainliest!!!!!!
Anyone know the answer or how to solve this
Answer:
9 for part b 40 for part a
Step-by-step explanation:
if u do 5 times the numbers it gives u the product so 45 is 9 times 5 and 40 os 8 times 5
Answer:
Part A: 9 orange beads
Part B: 40 blue beads
Step-by-step explanation:
Notice that you need to have the proportion of blue beads always 5 times larger than the number of orange beads. therefore you need to complete the table following such pattern:
Part A: for 45 blue beads, she needs to use : 45/5 = 9 orange beads
Part B: for 8 orange beads, she needs to use 8 * 5 = 40 blue beads
Find the number of positive divisors of 540.
Answer:
The number 540 has the following divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Step-by-step explanation:
The number 540 has the following divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Therefore, the number 540 is not a prime number or a deficient number
A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;
1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.
Answer:
[tex]540 = 3 ^{3} \times 2 {}^{2} \times 5[/tex]
so, it is 4*3*2= 24
A student says that the function f (x) = –x² – 9 has the x-intercepts (-3,0) and (3,0). Is the student correct? If not, expl.
why.
Answer:
No
Step-by-step explanation:
The student is wrong because the function has no solutions.
You cannot factor it because the x² is negative.
If it was x² - 9 instead, you could factor it into (x-3)(x+3) which would get you the x-intercepts (-3,0) and (3,0).
But instead, -x² - 9 cannot be factored at all and has no x-intercepts/solutions.
Which of the following represents the solution for -2 ≤ 7 - x < 11 ?
Answer:
A
Step-by-step explanation:
- 2 ≤ 7 - x < 11
-9 ≤ - x - x < 4
9 ≥ x x > -4
Answer:
Hey there!
-2 ≤ 7 - x < 11
-9 ≤ - x < 4
9 ≥ x > -4
-4 < x ≤ 9
A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.
Let me know if this helps :)
Find the area of the shape shown below.
9.0
3.5
2
5
2.
units
Answer:
[tex] \boxed{42.5 \: {units}^{2} }[/tex]Step-by-step explanation:
The shape could be divided into a rectangle and a trapezoid ( bottom part )
Let's find the area of the given shape:
Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]
plug the values
[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]
[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]
[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]
[tex] \mathsf{ = 31.5 + 11}[/tex]
[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]
Hope I helped!
Best regards!
A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18. This sample mean corresponds to a z-score of z = –1.00.
Answer:
True
Step-by-step explanation:
Given that:
M = 27, sample of n = 36 scores, µ = 30 and σ = 18.
The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that M = 27, this means that x = 27. Therefore:
[tex]z=\frac{x-\mu}{\sigma}\\\\for \ a\ sample\ size(n):z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{27-30}{18/\sqrt{36} } =\frac{-3}{3}=-1[/tex]
This sample mean corresponds to a z-score of z = –1.00.
An online company wants to establish ratings for the products they provide. To do so, they ask visitors to their website to evaluate the products and leave a "thumbs up" or a "thumbs down." What type of sample is this? Explain why.
Answer:
This is a group specific influence sample, it only shows a demographic sample of those that are influenced by the reviews in the first place.
Step-by-step explanation:
What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?
Answer:
(x-3)(5x+4)
x=3 x=-4/5
Answer:
(5x + 4)(x - 3)
Step-by-step explanation:
Hello!
Factor:
5x² - 11x - 12Think: What two numbers add up to -11 but multiply to (5)(-12)?
Answer: -15 and 4
Continue:
5x² - 11x - 125x² - 15x + 4x - 12 Expand with the values we found5x(x - 3) + 4(x - 3) Factor by grouping(5x + 4)(x - 3)The factored expression is (5x + 4)(x - 3)
Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)
Answer:
67.63 oz
Step-by-step explanation:
1 liter = 33.814 oz
2 litres = 2 x 33.814 oz = 67.628 oz
Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. linear B. exponential C. none of these D. quadratic
Answer:
A. linear, because it's growing the same amount each growing season
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer is linear because it goes up by a constant every year
Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?
50 plants total, 40% are vegetables
40% = 40/100 = 0.40
40% of 50 = 0.40*50 = 20
Answer: There are 20 vegetable plantsJared hiked a trail that is 12 miles long. He hiked the trail in section that were 1.5
miles each. In how many sections did he complete the hike?
A. 12
B. 8
C. 10
D. 4
HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)
Answer:
2(5x - 4)(x + 1)
Step-by-step explanation:
10x^2 + 2x − 8 =
First, factor out the GCF of all terms which is 2.
= 2(5x^2 + x - 4)
5x^2 factors into 5x and x.
= 2(5x )(x )
-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.
= 2(5x - 4)(x + 1)
Answer:
[tex]\large \boxed{2(5x-4)(x+1)}[/tex]
Step-by-step explanation:
[tex]10x^2 + 2x - 8[/tex]
Rewrite 2x as 10x - 8x.
[tex]10x^2 + 10x-8x - 8[/tex]
Factor out the two groups.
[tex]10x(x+1)-8(x+1)[/tex]
Take x+1 as a common factor.
[tex](10x-8)(x+1)[/tex]
Factor 10x - 8.
[tex]2(5x-4)(x+1)[/tex]
What is the area of this composite figure?
Answer:
C.) 7.14 in²
Step-by-step explanation:
The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.
The area of the square can be found by multiplying length times the width:
[tex]2*2=4[/tex]
The area of the square is 4 inches, and since we multiplied two lengths, we square the value:
A=4in²
Now find the area of the circle using the formula:
[tex]A=\pi r^2[/tex]
The radius is half of the diameter, so the radius is 1. Insert values and solve:
[tex]A=\pi *1^2\\\\A=\pi *1\\\\A=\pi[/tex]
The area of the circle is equal to π. Add the values together:
[tex]4+\pi =7.14[/tex]
The area of the figure is 7.14 in²
:Done
Will give brainliest. Find the length and measure of each arc. Show your work.
Answer:
exact arc length = 21pi
approximate arc length (using calculator) = 65.9734457253857
approximate arc length (using 3.14 for pi) = 65.94
units are in feet
============================================
Work Shown:
L = (x/360)*2*pi*r
L = (315/360)*2*pi*12
L = 21pi = exact arc length in terms of pi
If you use your calculator's stored version of pi, then L is approximately
L = 21pi
L = 65.9734457253857
Or if you end up using pi = 3.14, then
L = 21*pi
L = 21*3.14
L = 65.94
Fairly close to the other approximation though a bit off because pi = 3.14 is just a rough approximation.