Answer:
[tex]\boxed{y=2}[/tex]
Step-by-step explanation:
[tex]6(y + 5) = 15y + 12[/tex]
[tex]\sf Expand \ brackets.[/tex]
[tex]6y+30=15y+12[/tex]
[tex]\sf Subtract \ 12 \ and \ 6y \ from \ both \ sides.[/tex]
[tex]6y+30-12-6y=15y+12-12-6y[/tex]
[tex]30-12=15y-6y[/tex]
[tex]18=9y[/tex]
[tex]\sf Divide \ both \ sides \ by \ 9.[/tex]
[tex]\displaystyle \frac{18}{9} =\frac{9y}{9}[/tex]
[tex]2=y[/tex]
Kate wants to paddle
her canoe across the lake. To determine how far she must paddle, she paced out a triangle,counting the number of strides, as shown.
If Kate's strides average 3.5 ft, what is the
length of the longest side of the triangle?
What distance must Kate paddle across
the lake?
Answer:
1. Length of longest side of the triangle = 1,050 ft
2. Length = 437.5 ft
Step-by-step explanation:
Given:
Kate's strides average = 3.5 ft
Find:
1.longest side of the triangle
2.Distance must Kate paddle across the lake
Computation:
1.longest side of the triangle
longest side of the triangle = AE
So,
longest side of the triangle = 150 + 150
longest side of the triangle = 300
Length of longest side of the triangle = 300 × 3.5 ft
1. Length of longest side of the triangle = 1,050 ft
2.Distance must Kate paddle across the lake.
We know that,
ΔABD ~ ΔACE
So,
AB / AC = BD / CE
80 / 160 = BD / 250
BD = 125 Strides
Length = 125 × 3.5 ft
2. Length = 437.5 ft
pls help...1.The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of one of the small cubes.
Answer:
1. 1.3778 2. 0.0089
Step-by-step explanation:
to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.
so 1x0.83x1.66= 1.3778
you can always convert the fraction into decimal to help you calculate the problem.
i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.
it is 5 by 10 so there are 150 cubes in total.
1.3378 divided by 150=0.0089
im confident about the 1st but not so much with the second
The volume of the rectangular prism is: 1.39 ft³
The volume of one of the small cubes is: 0.0046 ft³
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width × height
Given the following:
Length = 1 ft
Width = 5/6 ft
Height = 1⅔ ft
Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3
Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³
Length of the edge of 1 cube = 1/6 ft
Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³
Learn more about volume of rectangular prism on:
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cqn someone answer this?
Answer:
-3Step-by-step explanation:
-11/2+27/4+(-17/4)(-22+27-17)/4(-12)/4-3Rearrange the tiles so that it shows the proper steps of solving this quadratic equation using square property
Answer:
see explanation
Step-by-step explanation:
Given
(x + 2)² = 25 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{25}[/tex] ← Step 1
x + 2 = ± 5 ← Step 2 ( subtract 2 from both sides )
x = - 2 ± 5 ← Step 3
P. The inventory of a store 2 years ago was worth $45,000. This year it is
worth $49,500. What is the percent increase? Show your work
Answer:10% increase
Step-by-step explanation:
49500-45000=4500
4500/45000=0.1
0.1x100=10
10% increase
Answer:
10%
Step-by-step explanation:
follow the rules of calculating percentages.
fractions, decimals, etc.
pls mark brainliest
Please help me with this!!!
Answer:
(f•g)(2)=3 and (g•f)(6)=7
Step-by-step explanation:
look at the tables
where x is equal to both 2 and 7 is where you will find your answer
Hope this helps you!
help plz help me .me no good
Answer:
50,000,000
Step-by-step explanation:
5 * 10 ^7
The 7 in the exponent means move the decimal 7 places to the right
5. We need to add 7 zeros
50000000
50,000,000
the formula for a trapezoid is A= 1/2h(b1+b2) which equations are equivalent to the formula
Answer:
A=[tex]\frac{a+b}{2} (h)[/tex]
Step-by-step explanation:
Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The options are:
h=2A/(b1+b2)b1=2A/h - b2b2= 2A/b1 - hb2= 2A/h - b1b1= 2A//b2 - hWe have a formula for finding the area of the trapezoid:
[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]
Make a subject h and solve for h:
[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]
or
[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]
[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]
[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]
Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
Learn more about the trapezoid here:
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5.4(m-2)= -2(3m+3) please help asap
Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
Annie tried to solve a problem step by step: 7.5 + k = 10 7.5 + k - 7.5 = 10 - 7.5 step 1 k = 2.5 step 2 Find Annie's mistake: A. Step 1 B. Step 2 C. Annie did not make a mistake
Answer:
(C) Annie did not make a mistake
Step-by-step explanation:
To isolate the variable k in the equation [tex]7.5 + k = 10[/tex], we'd have to subtract 7.5 from both sides so we just had k on one side.
This is exactly what Annie did, and therefore, her answer is correct.
Hope this helped!
Answer:
C. Annie did not make a mistake
Step-by-step explanation:
Substitute 2.5 for k in the equation and see if it is correct
Each time you substitute you should see that Annie answered the equation correctly
if f(x) -3 and g(x) = 3x2+x-6, find (f+9)(x).
A. 4x2 - 9
B. 3x2 + x - 3
C. 3x2 + 2X-9
D. 3x2 - 4x = 3
Answer:
3x^2 +x -3
Step-by-step explanation:
f(x)= 3 and g(x) = 3x^2+x-6
f+g (x) = 3+ 3x^2+x-6
Combine like terms
= 3x^2 +x -3
What is the best estimate of the sum of $14.30, $143.08, and $19.74
Answer:
Step-by-step explanation:
ok so you start off by adding
14.30
143.08
19.74
177.12
177.12 is close to 180 if u estimate in tens, 177 if ones
The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
All real numerals and 0 are included in the category of whole numbers.
The process of adding up the different or more sums or figures.
The sum means plus sing is present between the terms.
The whole numbers are given below,
$14.30, $143.08, and $19.74
Then the summation of the whole numbers is given below.
⇒ $14.30 + $143.08 + $19.74
⇒ $177.12
Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.
More about the Algebra link is given below.
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Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15
Answer:-9c3w5-36c6w8-36c9w15
Answer:
-27c⁹w¹⁵ the last choice
Step-by-step explanation:
Simplifying:
(−3c³w⁵)³= ⇒ each factor gets same power- 3³(c³)³(w⁵)³ = ⇒ power of power = product of powers- 27c⁹w¹⁵ ⇒ correct answer choice is the last onesimplified?
[tex]5 \sqrt{ - 8r} [/tex]
Im just confused on how the negative 8 will play out, and same with the non exponential variable.
Answer:
[tex]10i\sqrt{2r}[/tex].
Step-by-step explanation:
[tex]5\sqrt{-8r}[/tex]
= [tex]5\sqrt{-1 * 2 * 2 * 2 * r}[/tex]
= [tex]5i\sqrt{2^2 * 2 * r}[/tex] (i = the square root of -1)
= [tex]5i * 2\sqrt{2 r}[/tex]
= [tex]10i\sqrt{2r}[/tex]
Hope this helps!
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
We can add the areas together
We have a rectangle and a triangle
The area of the rectangle is
A = lw
= 7*3
= 21
The area of the triangle is
A = 1/2 bh
= 1/2 (7)*3
= 21/2
= 10.5
Add them together
A = 21 + 10.5
=31.5
Answer:
31 1/2
Step-by-step explanation:
You find the area for the triangle on top and the rectangle on the bottom. In order to find the area of the triangle, multiply 7 and 3. Then divide the product which is 21 by 2. So the area of the triangle is 21/2 which could also be written as 10 1/2. Next, you find the area of the rectangle which is 7x3. You get 21. Finally, you add the two areas to get 31 1/2. It could also be written as 63/2 or 31.5
Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1, 2), (1, 3)} {(8, 1), (4, 1), (0,1), (–15, 1)}
Answer:
[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]
[tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]
[tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]
[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Required
Determine which is a function
A relation is divided into 2; (x,y)
Where x represents the range and y stands for the domain
For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x
Testing each of the given options
A. [tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](-4, -6)[/tex]
[tex](-3, -2)[/tex]
[tex](1, -2)[/tex]
[tex](1, 0)[/tex]
Notice that the third and fourth relation has the same x value of 1;
Hence, this is not a function
B. [tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](-2, -12)[/tex]
[tex](-2, 0)[/tex]
[tex](-2, 4)[/tex]
[tex](-2, 11)[/tex]
Notice that all relations has the same x value of -2;
Hence, this is also not a function
C. [tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](0, 1)[/tex]
[tex](0, 2)[/tex]
[tex](1, 2)[/tex]
[tex](1, 3)[/tex]
Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;
Hence, this is also not a function
D. [tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](8, 1)[/tex]
[tex](4, 1)[/tex]
[tex](0, 1)[/tex]
[tex](-15, 1)[/tex]
Notice that relation has the unique x values of 8, 4, 0 and -15
Hence, this relation is a function
Find all real zeros of the function.
g(x) = 2x (x - 5)2(x – 9)?
If there is more than one answer, separate them with commas.
zero(s):
Answer:
0, 5, 9
Step-by-step explanation:
g(x) = 2x (x - 5)^2(x – 9) = 0
x = 0 or x - 5 = 0 or x - 9 = 0
x = 0 or x = 5 or x = 9
Using the similar triangles, which equation could be used to find the slope of line AB? A) m = p q B) m = q p C) m = n m D) m = q n
help me plz i wnt help plz i want help
Answer:
C)28in
Step-by-step explanation:
To get the area of this face, we will divide it into 3 sections.
Area of the 1st section:
Given:
l=4in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in^2
Area of the 2nd section:
Given:
l=2in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=2in*2in
a=4in^2
Area of the 3rd section:
l=8in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in*2in
a=16in^2
a1+a2+a3=Area of the face
8in^2+4in^2+16in^2=28in^2
Hope this helps ;) ❤❤❤
Circles
1. RS and ST are tangent lines. Find the value of x.
R
9x - 30
c.
S
3x
T
Answer:
x = 15
Step-by-step explanation:
9x-30 = 3x (tangent lines are congruent)
- move the variables to one side
9x-3x=30
6x=30
x=5
--------------
9(5)-30=3(15)
45-30=15
15=15
Done!
PLEASE HELP! Will mark brainliest! Find the intercepts for the following linear equation: y=−5
Answer:
hi :)
Step-by-step explanation:
Y intercept (C)= -5
I think it will help you.
Which statement best compares the two functions?
The minimum of function A occurs 1 unit higher than the minimum of function B.
The minimum of function A occurs 3 units higher than the minimum of function B.
The minimum of function A occurs 5 units lower than the minimum of function B.
The minimum of function A occurs 7 units lower than the minimum of function B.
Answer:The minimum of function A occurs 1 unit higher than the minimum of function B.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Trust
write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20
Answer:
7/20
Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.
Answer:
D) 7/20
Step-by-step explanation:
Divide 35 by 100:
35 / 100 = .35
Convert into a fraction and simplify:
[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]
Option D should be the correct answer.
Graph the solution of 7x+3<−4 or 2x−3≥9
Answer:
Step-by-step explanation:
To do this you would simplify both sides.
For the first one:
[tex]7x+3<-4[/tex]
[tex]7x<-7[/tex] (subtract 3 from both sides)
[tex]x<-1[/tex] (divide 7 from both sides)
and for the second one:
[tex]2x-3\geq 9[/tex]
[tex]2x\geq 12[/tex] (add 3 to both sides)
[tex]x\geq 6[/tex] (divide 2 from both sides)
When you graph these they will look like these pictures
Answer:
[tex]x<-1[/tex] and [tex]x\geq6[/tex]
Step-by-step explanation:
[tex]\bf 7x+3<-4[/tex]
You must subtract 3 from both sides.
[tex]7x+3-3<-4-3\\[/tex]
After subtracting, we got
[tex]7x<-7[/tex]
Let's make it into a fraction and divide
[tex]\frac{7x}{7}<\frac{-7}{7}[/tex]
Now we got the answer
[tex]x<-1[/tex]
[tex]\bf 2x-3\geq 9[/tex]
You must add 3 to both sides.
[tex]2x-3+3\geq 9+3[/tex]
After adding, we got
[tex]2x\geq 12[/tex]
Let's make it into a fraction and divide
[tex]\frac{2x}{2} \geq \frac{12}{2}[/tex]
Now we got the answer
[tex]x\geq 6[/tex]
Your answer is [tex]\bf x<-1[/tex] or [tex]\bf x\geq 6[/tex].
Find the measure of c.
Answer:
140°
Step-by-step explanation:
The circle has a central angle of 80. This means that the arc it intercepts is also 80°. Therefore, the rest of the circle not intercepted by the arc is 360-80=280°
Remember that inscribed angles have one-half of the arc-length it intercepts. We can see that Angle C intercepts the entire circle except for the arc intercepted by Angle O. Therefore, the arc intercepted by Angle C is 280°. This means that Angle C is the half of 280, or 140°.
Name five fractions between 6/7 and 9/10
Answer:
43/50, 22/25, 111/125, 1111/1250, and 179/200.
Step-by-step explanation:
6/7 = 0.8571428571
9/10 = 0.9
The fractions can be anywhere within that range.
The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.
The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.
The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.
The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.
The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.
Hope this helps!
Answer:
43/50, 22/25, 111/125, 1111/1250, and 179/200.
Step-by-step explanation:
6/7 = 0.8571428571
9/10 = 0.9
The fractions can be anywhere within that range.
The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.
The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.
The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.
The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.
The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.
6.21(3.1) answer for number 6
Identify the domain of a radical function with an odd index. Question 1 options: A) 0 < x < ∞ B) –∞ < x < ∞ C) 0 ≤ x < ∞ D) –∞ < x ≤ 0
A rope is cut into three pleces. The lengths are given as 2ab(a - b), 3^2(a + 2b), and b^2 (2a - b).
The expression representing the total length of the rope is_____?
If a = 2 inches and b = 3 inches, the total length of the rope is ____?
inches.
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]2ab(a-b)+3a^2(a+2b)+b^2(2a-b)\\\\=2a^2b-2ab^2+3a^3+6a^2b+2ab^2-b^3\\\\=\boxed{3a^3-b^3+8a^2b}[/tex]
For a = 2, b = 3 the total is
[tex]3\cdot 2^3-3^3+8\cdot 2^2 \cdot 3\\\\=3*8-27+96\\\\=24-27+96\\\\=\boxed{93}[/tex]
Thank you
Its very confusing so sry
PLS HELP WILL GIVE BRAINLIEST
