Answer:
[tex] \huge \boxed{ \boxed{ \red{x = - 7}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:[tex] \sf distribute : \\ \frac{3 x+ 63}{4} = 10\frac{1}{2} [/tex][tex] \sf simplify \: mixed \: fraction : \\ \frac{3x + 63}{4} = \frac{21}{2} [/tex][tex] \sf cross \: multipication : \\ 2(3x + 63) = 84[/tex][tex] \sf distribute \: 2 : \\ 6x + 126 = 84[/tex][tex] \sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42[/tex][tex] \sf divide \: both \: sides \: by \: 6 : \\ \frac{6x}{6} = \frac{ - 42}{6} \\ \bcancel{\frac{6x}{6} } = \frac{ \cancel{ - 42} \: ^{ - 7} }{ \cancel{ \: 6}} \\ \therefore \: x = - 7[/tex]Step-by-step explanation:
Solution given;
[tex] \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7[/tex]
:.x=-7 is your answer.
Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100
=131.59
3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
Learn more about correlation coefficient here
https://brainly.com/question/19560394
#SPJ2
answer fast please
Calculate the slope of the line going through A(-4,3) and B(0,6)
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]
[tex]m = \frac{6 - 3}{0 + 4} [/tex]
[tex]m = \frac{3}{4} [/tex]
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
---
hope it helps
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
7) Samantha has saved $100 to buy a new laptop. Each month, she saves $15 towards the laptop. What expression could be used to find the total amount saved after M months? Explain why
pliss i need it for today
Answer:
Step-by-step explanation: Have you used my tutor because it works and helps me by them explaining every step.
https://app.paper.co/dashboard
This is not a virus just saying, my school uses this by the way.
Does anyone know how to do this?
Answer:
1)X+4=2x-17+10
X. =2x-7-4
11=X
DF=11+4
=15
2)FH~
11x+71=12x+32
12x-11x =71-32
X=39
FH=(11×39)+71+(12×39)+32
=1000
3)57+39+8x-12=180
8x+84-84=180-84
8x=96
X=12
4)11x+2=68
11x=66
X=6
5)114+X+37+X=139
2x+151. -151=139-151
X=-6
Answer:
1. x=11
2. x=39
3. x= 12
4. x=6
5. x=-6
Step-by-step explanation:
1. x+4= 10+2x-17
FG=GH
x+4=2x-7
11=x
2. 11x+71=12x+32
subtract from both sides
39=x
3. All angles of a triangle add to 180.
39+57+(8x-12)=180
96+(8x-12)=180
8x-12=84
8x=72
divide both sides by 8
x=9
4. Vertical angles are equal
68=11x+2
66=11x
divide
6=x
5. (114+x)+(37+x)=139
Add like terms
151+2x=139
subtract
2x=-12
x=-6
MYSTERY NUMBER OF POINTS . Hint its 100. Solve to receive.
7m + 3y - 2m + y + 8
ANSWER
5m + 4y + 8
Have a great day
Answer:
5m + 4y + 8 is the answer or are you asking for the answer-?
Answer:
thank you
have a good day..❤
The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c
Answer:
m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3[tex] {(a + b)}^{2} \div 3c[/tex]SOMEONE PLEASE HELP. !! ASAP!! NO BULL ANSWERS !!
Answer: does this count as a bull answer
Step-by-step explanation:
Answer:
(3,-3)
Step-by-step explanation:
I hope this helps you on your journey to success.
what is 9-3 divied by 1/3 + 1 =
Answer:
1
Step-by-step explanation:
3 divided by 1/3 is 9, and 9-9=0
0+1=1
1
Step-by-step explanation:
Need ASAP!
six less than twice a number is half the number plus twelve
Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?
(125x3 – 8) = (5x – 2)
Answer:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
Step-by-step explanation:
Given
[tex]Dividend = 125x^3 - 8[/tex]
[tex]Divisor = 5x - 2[/tex]
Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x
[tex]\frac{125x^3}{5x} =25x^2[/tex]
Write [tex]25x^2[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]
[tex]= 125x^3 - 50x^2[/tex]
Subtract from 125x^3 - 8
i.e.
[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]
Step 2:
Divide 50x^2 by 5x
[tex]\frac{50x^2}{5x} = 10x[/tex]
Write [tex]10x[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]
[tex]= 50x^2 - 20x[/tex]
Subtract from 50x^2 - 8
i.e.
[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]
Step 3:
Divide 20x by 5x
[tex]\frac{20x}{5x} = 4[/tex]
Write [tex]4[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]4[/tex]
[tex]= 20x - 8[/tex]
Subtract from 20x - 8
i.e.
[tex]20x - 8 - (20x - 8) = 0[/tex]
Hence:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
How many 3-digit numbers are there, for witch all digits have the same parity?
Answer:
27
Step-by-step explanation:
Fully factorise 12r + 16
Answer:
4(3r+4)
Step-by-step explantion:
The factorized form of the given expression is 4(3r+4).
The given expression is 12r+16.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
Factorization of the expression 12r+16 is as follows
Here, in terms 12r=2×2×3×r and 16 =2×2×2×2, we have 4 has common factor
So, 4(3r+4)
Hence, the factorized form of the given expression is 4(3r+4).
To learn more about the factorization visit:
https://brainly.com/question/26923098.
#SPJ2
Tomiko has a 1:24 scale drawing of her house. In the drawing the dimensions of the rectangular kitchen are 5 3/4 inches by 4 1/4 inches. What is the area, to the nearest square foot of Tomiko's actual kitchen?
Answer: 9 4/4 or 10 whole
Step-by-step explanation:
can someone please help I’m trying to get my grades up it’ll be greatly appreciated
Answer:
A. 4
B. 8
Step-by-step explanation:
5 x +4+=34
6y+3=45
8z - 7=57
11t-16=39
2n -6=12+4
3z+4=22???
Answer:
z=6
Step-by-step explanation:
3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3
Starting at n = 1 , find the first 5 members of this sequence : 1+(n-1)2 a. 2,4,6,8,10 b. 1,3,5,7,9 c. 4, 6, 8, 10, 12 d. 3,5,7,9,11
Please help need answers ASAP
Answer:
0.527
Step-by-step explanation:
From the question,
The sequence is Geometry Progression (G.P)
Tₙ = arⁿ⁻¹.......................... Equation 1
Where n = number of term, a = first term, r = common ratio
Given: n = 7, a = 6, r = 2/3
Substitute these values into equation 1
T₇ = 6(2/3)⁷⁻¹
T₇ = 6(2/3)⁶
T₇ = 6(64/729)
T₇ = 384/729
T₇ = 0.527
Hence, the 7th term of the sequence is 0.527
I need help now plzzzz
Step-by-step explanation:
I think Option A is your answer ☺️☺️☺️
if 4x^2 - 100 = 0, the roots of the equation are
Answer:
±5
Step-by-step explanation:
4x²-100=0
4x²=100
x²=100/4
x²=25
x=√25
x=±5
Answer:
4x^
Step-by-step explanation:
4x^2 = 100
4x^2/4 = 100/4
x^2=25
x=5
Need answers ASAP. GIving out brainliest if possible!
Answer:
if you mulitply (19*19*27*10*10) you get:
974700
If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?
Answer:
270 calories
Step-by-step explanation:
base = 5 ft Height= 3.5 ft what is the area
Answer:
the area is 17.5 ft if the shape is a square/rectangle
the area is 8.75 ft if the shape is a triangle
Step-by-step explanation:
Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
Draw a number line and mark all described points on it.
Numbers that are either negative or greater than 5.
Answer:
hi the answer submersible
Factor the polynomial: –3x^4 – 9x^3 + 15x^2
Answer:-3x^2(9x^5-5)
Step-by-step explanation:
Step-by-step explanation:
-3x2(x2)-9x3+25x2
-3x2(x2+3x-5)
252/550.3 PLSSSSS HELP IM IN THE MIDDLE OF CLASS HELP PLS
Answer: 2.1
Step-by-step explanation:
hey please help with this question( no links!!)
Answer:
d. 200.96 sq. in
Step-by-step explanation:
radius = diameter/2 = 16/2 = 8
Area of the circle = pi x r²
= 3.14 x 8²
= 3.14 x 64
= 200.96