Answer:
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Help plssssssssssssssssss
Answer:
131.2 ft
Step-by-step explanation:
12.8*10.25=131.2
13. Which property is illustrated by the statement 3•1=3?
A Associative
C. Distributive
B. Commutative
D. Identity
it's a I know this because I'm in the 8th
Step-by-step explanation:
it's a
The graphs below have the same shape. What is the equation of the blue graph?
Alena had 4 packs of gum with 6 pieces of gum in each pack. Hugh had 3 packs of gum with 5 pieces in each. Alena and Hugh have 19 pieces of gum left.
Which equation can we use to find p, end colour the number of pieces of gum Alena and Hugh chewed
Answer:
[tex]p = 4 \times 6 + 3 \times 5 - 19 = 20[/tex]
Step-by-step explanation:
Number of packs available with Alena initially = 4
Number of gums in each pack = 6
Total number of gums initially present with Alena can be found by multiplying the number of packs with the number of packs.
i.e. number of gums initially present with Alena = 4 [tex]\times[/tex] 6 = 24
Number of packs available with Hugh initially = 3
Number of gums in each pack = 5
Total number of gums initially present with Hugh can be found by multiplying the number of packs with the number of packs.
i.e. number of gums initially present with Hugh = 3 [tex]\times[/tex] 5 = 15
Total number of gums present initially = 24 + 15 = 39
Number of gums left with Alena and Hugh = 19
The number of gums chewed can be found by subtracting the number of gums left with them from the number of gums initially present with them.
i.e. Number of gums chewed, [tex]p[/tex] = 39 - 19 = 20
The equation that can be used is:
[tex]p = 4 \times 6 + 3 \times 5 - 19 = 20[/tex]
30 points ans brainliest
plz i really need this awnser asap
When the polynomial mx3 - 3x2 + nx + 2 is divided by x + 3, the remainder is -1. When it is divided by x - 2, the remainder is -4. What are the values of m and n?
Answer:
m = -2 and n = 10
Step-by-step explanation:
If the polynomial mx^3 - 3x^2 + nx + 2 is divided by x + 3, the remainder is -1. Then;
x+ 3 = 0
x = -3
Substitute x =-3 into the polynomial and equate to -1
-1 = m(-3)³-3(-3)²+n(-3) + 2
-1 = -27m - 27 - 3n + 2
27m + 3n = -25 + 1
27m + 3n = -24 ... 1
Similarly, if it is divided by x - 2, the remainder is -4, then;
-4 = m(2)³-3(2)²+n(2) + 2
-4 = 8m - 12- 2n + 2
8m -2n = -4 + 10
8m + 2n = 6 ... 2
Solve 1 and 2 simultaneously
27m + 3n = -24 ... 1 * 2
8m + 2n = 6 ... 2 * 3
______________________
54m + 6n = -48
24m + 6n = 12
54m - 24m = -48 - 12
30m = -60
m = -60/30
m = -2
Get n by substituting m = -2 into 1
From 1: 27m + 3n = -24
27(-2) + 3n = -24
-54 + 3n = -24
3n = -24 +54
3n = 30
n = 30/3
n = 10
Hence m = -2 and n = 10
In triangle ABC, angle A = 2x + 5, angle B = 4x + 10 and angle C = x - 31. Find the value of x.
Answer:
x=28
Step-by-step explanation:
sum of all angles im a triangle = 180°
(2x+5) + (4x+10) + (x-31) = 180
7x=196
x=28
Answer:
x = 28°
Step-by-step explanation:
Sum of a triangle is equal to 180°. Firstly you need to form an equation. Add all the angles which equals to 180°.
2x + 5 + 4x + 10 + x - 31 = 180°
Now simply and find the value of x. Add all the x terms and whole numbers.
7x + 5 + 10 - 31 = 180°
7x + 15 - 31 = 180°
7x - 16 = 180°
7x = 180° + 16
7x = 196
x = 196 ÷ 7
x = 28°
So the angles are:
Angle A = 2x + 5
2 x 28 + 5 = 61°
Angle B = 4x + 10
4 x 28 + 10 = 122°
Angle C = x - 31
28 - 31 = -3°
(x+2) ^3 algebraic expressions(cube)
Answer:
The cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]
Step-by-step explanation:
We need to find cube of [tex](x+2)^3[/tex]
It can be found using formula: [tex](a+b)^3=(a+b)(a^2-ab+b^2)[/tex]
In the question given:
We have a = x and b = 2
Now finding cube using the above formula:
[tex](x+2)^3\\=(x+2)(x^2-(x)(2)+(2)^2)\\=(x+2)(x^2-2x+4)[/tex]
So, the cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]
A notebook cost $4.50 plus sales tax. The sales tax is $.36. what is the sales tax rate?
Answer:
It's simple the answer is 8%
Step-by-step explanation:
$. 36/ $4.50 × 100 = 8%
Answer:
8%
Step-by-step explanation:
Sales price x sales tax rate = sales tax
4.50 x sales tax rate = .36
sales tax rate = .36/4.50
sales tax rate = .08 or 8%
For the line 3x + 4y = 36, what is the slope?
Tina plans to make wooden frames to put her two triangular art pieces in.
How much wood would she need fortriangle DFG?
Enter your answer in the box.
in.
Answer: 54 in.
Step-by-step explanation: So, the problem does something a little sneaky, and that is they ask for the TOTAL amount of wood needed for triangle DFG. And to find that, we simply have to multiply side AC by 3 to get side DG. We do this because triangle ABC is 3 times as small as triangle DFG. Then, add your side DG that you just got, (21) to side FG and FD to get the total amount of wood needed, 54 in.
The length of wood needed for triangle DFG is 54 inches
Start by calculating the side length DG in triangle DFG
The side lengths of DFG are three times the corresponding side length of ABC
So, we have:
[tex]DG = 3 \times AC[/tex]
[tex]DG = 3 \times 7\ in[/tex]
[tex]DG = 21\ in[/tex]
The perimeter of triangle DFG is then calculated as:
[tex]P = DF + FG + DG[/tex]
This gives
[tex]P = 15 + 18 + 21[/tex]
[tex]P = 54[/tex]
Hence, the length of wood needed is 54 inches
Read more about perimeter at:
https://brainly.com/question/24571594
Find the volume of the sphere. Either enter an exact answer in terms of it or use 3.14 for I and round your final answer to the nearest hundredth. 2 units Stuck? Watch a video or use a hint. Report a prob
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the radius of the sphere is missing.
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
Substitute 3.14 for [tex]\pi[/tex]
[tex]V = \frac{4}{3}* 3.14* r^3[/tex]
[tex]V = \frac{4* 3.14}{3}* r^3[/tex]
[tex]V = \frac{12.56}{3}* r^3[/tex]
[tex]V = 4.187* r^3[/tex]
At this point, assume that r = 3.
The expression becomes:
[tex]V = 4.187* 3^3[/tex]
[tex]V = 4.187* 27[/tex]
[tex]V = 113.05[/tex]
Please help pleassseeee
Answer:
5,4
Step-by-step explanation:
The human body consists mainly of three elements. About 1/10 of a body's weight is hydrogen, 16/25 is oxygen, and 1/5 is carbon. What is the weight of the hydrogen, oxygen, and carbon in the body of a person who weighs 134 lb?
Answer:
Hydrogen = 13.4
Oxygen = 85.76
Carbon = 26.8
Step-by-step explanation:
H= 13.4
When you multiply by 1/10 all you have to do is move the decimal point to the LEFT.
So... 134←. = 13.4
_______________________________________________________
O= 85.76
134×[tex]\frac{16}{25}[/tex]=85.76
________________________________________________________
C= 26.8
134×[tex]\frac{1}{5}[/tex]=26.8
The first four terms in a sequence, and the rules that define
them, are shown below.
a1 =4
a2 = 2a1 + 3
a3 = 2a2 + 3
a4 = 2a3 + 3
What is the value of a4, the fourth term shown in the
sequence above?
A 35
B 41
C 25
D 53
Answer: D. 53 [tex]a_{4}=53[/tex]
Step-by-step explanation:
[tex]a_{1}=4\\a_{2}=2(a_{1})+3\\a_{3}=2(a_{2})+3\\a_{4}=2(a_{3})+3[/tex]
[tex]a_{2}=2(a_{1})+3\\a_{2}=2(4)+3\\a_{2}=8+3\\a_{2}=11[/tex]
[tex]a_{3}=2(a_{2})+3\\a_{3}=2(11)+3\\a_{3}=22+3\\a_{3}=25[/tex]
[tex]a_{4}=2(a_{3})+3\\a_{4}=2(25)+3\\a_{4}=50+3\\a_{4}=53[/tex]
A bricklayer's apprentice takes 10 hours longer than the bricklayer to make a fireplace. The apprentice worked alone on a fireplace for 5 hours, after which the bricklayer began to help. It took 2 more hours for them to finish the fireplace. How long would it take the apprentice to make the fireplace on his own?
Answer:
It would take the apprentice 14 hours to make the fireplace on his own.
Step-by-step explanation:
Let x represent the hours it takes the bricklayer to make a fireplace on his own and x + 10 represent the hours it takes the bricklayer's apprentice to make a fireplace on his own.
7/(x + 10) + 2/x = 1
7/(x+10) represents the fraction of the fireplace the bricklayer's apprentice made (total amount of time the bricklayer's apprentice worked on the fireplace/time it takes the bricklayer's apprentice to make a fire place on his own) while 2/x represents the fraction of the fireplace the bricklayer made (total amount of time the bricklayer worked on the fireplace/time it takes the bricklayer to make a fire place on his own). The 1 on the right side of the equation represents the number of fireplaces they made in that time.
Multiply both sides of the equation by x(x + 10) to get rid of the denominators:
x(x + 10)[7/(x + 10) + 2/x] = x(x + 10)1
x(x + 10)[7/(x + 10)] + x(x + 10)(2/x) = x(x + 10)
7x + 2(x + 10) = x² + 10x
7x + 2x + 20 = x² + 10x
Gather all the terms to one side of the equation:
x² + 10x - 7x - 2x - 20 = 0
x² + x - 20 = 0
Factoring the simplified equation:
(x + 5)(x - 4) = 0
Solving for each factor:
When x + 5 = 0,
x = -5
When x - 4 = 0,
x = 4
Since a negative solution wouldn't make sense for this question, it would take the bricklayer 4 hours to complete the fireplace on his own.
Substituting x = 4 into x + 10 to find out how long it would take the apprentice to make the fireplace on his own:
x + 10 = 4 + 10 = 14
Therefore, it would take the apprentice 14 hours to make the fireplace on his own.
Mrs. Jones has a recipe for cooking roast beef. It takes half an hour for one pound of beef in an oven heated to 325° Fahrenheit to cook. How long should it take to cook a roast that weighs 5 34 pounds?
_______________________________
1lbs = 30min
= 5.34lbs × 30mins= 160.2mins= 160.2mins ÷ 60mins= 2.67hrsIt Should Take Mrs. Jones 3hrs & 7mins________________________________
A bamboo plant grows about 3.9 feet each day find the growth in 9 weeks
Answer:
The answer is 245.7
Step-by-step explanation:
7 days in a week. 9 weeks. 9 x 7 = 63.
63 x 3.9 = 245.7
Perform the operation and get
your answer in the form a + bi.
(5 – 2i)(5 + 2i)
[?] + [ ]i
Answer:
Step-by-step explanation:
(5-2i) ( 5+2i) = (5^2) - ((2i)^2) = 25 - 4i^2
= 25 - 4(-1) = 25 +4 = 29 + 0i
The Solution is 29 + 0i.
What are complex numbers?The sum of a real number and an imaginary number is called a complex number. A complex number is usually represented by z and has the form a + ib. Here, both a and b are real numbers. The real part, denoted by Re(z), is represented by the value "a," and the imaginary part, represented by "b," is represented by Im(z). Also known as an imaginary number, ib.
Given Expression (5 – 2i)(5 + 2i)
we know a² - b² = (a - b)(a + b)
(5 – 2i)(5 + 2i) = 5² - (2i)²
= 25 - 4i²
and i² = -1
= 25 - 4(-1)
= 25 + 4 = 29
since the solution has 0i
so the equation is 29 + 0i
where a = 29 and b = 0
Hence, equation is 29 + 0i.
Learn more about complex numbers;
https://brainly.com/question/20566728
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On a piece of paper, use a protractor and a ruler to construct triangle ABCABC with ABAB = 3 in., ACAC = 3 in., and m∠Am∠A = 90°90° . What is the measure of m∠Cm∠C?
A:60°
B:30°
C:90°
D:45°
Plsss help I need a good grade on this
Answer:
6
Step-by-step explanation:
add 18 on both sides
7w = 42
divide by 7 on both sides
w = 6
Answer:
Step-by-step explanation:
7w-18=24
7w= 24+18
w=42:7
w=6
D is 12 please help :)
A car travels 104 kilometers in 2 hours. What is its speed?
Answer:
52 kilometers per hour
:)
A natural number is____a rational number.
A. Never
B. Sometimes
C. Always
Answer:
Always
Step-by-step explanation:
We know that,
As every natural number n be represented in a rational form: n/1, any natural number can be represented in the form p/q, where q≠0. Hence, all natural numbers are rational numbers.
Find the percent
of change from
15 yards to 20 yards.
Answer:
33.33%
Step-by-step explanation:
Percent change equation is:
(x2 - x1) / x1 * 100%
where x1 is initial and x2 is final
Question (in need of help)
This is an right angle ∆ and the side lengths containing a right angle are 9 and 11.
By Pythagoras theoram,
[tex] {p}^{2} + {b}^{2} = {h}^{2} [/tex]
where p is the perpendicular, b is the base and h is the hypotenuse.
Plugging the values,
[tex] {9}^{2} + {11}^{2} = {h}^{2} [/tex]
Then,
[tex]h = \sqrt{ {9}^{2} + {11}^{2} } [/tex]
[tex]h = 14.12(approx.)[/tex]
Hence:-The x of the right angled ∆ = 14.12
Answer:
the top angle is 11 and the angle on the left is 9 so the X will be rounded to the nearest hundreth since it's the biggest angle so 11×9=109 so yea I THINK its 100 since it's rounding
The larger of two numbers is eight more than five times the smaller number the sum of two numbers is 80 find the two numbers
Answer:
y=68
x=12
Step-by-step explanation:
Variables= x and y
Lets make y the larger variable.
x+y=80
y=5x+8
substitution
x+5x+8=80
6x+8=80
x=12
plug 12 back in to find y
5(12)+8=68
y=68
x=12
A. 3(x+2)=18 B. 3x+6=18
Answer:
B
Step-by-step explanation:
3x6 is 18 so therefore its B
Please answer quickly
Answer:
I answered the first two Q but i dont know the third one sorryy
Step-by-step explanation: i put the answers as pics
3x - X - 9 = 3(2 - x)
only solve for x :)
Answer:
x = 3
Step-by-step explanation:
3x - X - 9 = 3(2 - x) (Given)
2x - 9 = 3(2 - x) (combine like terms)
2x - 9 = 6 - 3x (distributive property of equality)
5x = 15 (addition property of equality)
x = 3 (division property of equality)
Ace