Solving quadratic equation by Factorization
[tex]10x {}^{2} - x = 2[/tex]
Help me pleasee​

Let the sons age = x

The dads age would be 3x ( 3 times the sons age)

X + 3x = 48

Simplify:

4x = 48

Divide both sides by 4

X = 12

The sons age is 12

Answer:

Step-by-step explanation:

Properties used in each step are as below-

2 (10 -13x) + 9x = -34x +60  

Step 1:  -Associative property

Step 2:  - Additive property of equality.

Step 3:  - Additive property of equality.

Step 4:  - Division property of equality

Answer:

1 and 4/5

Step-by-step explanation:

!Keep, flip, change. (KFC rule)!

Equation: 3/2 divided by 5/6

1st: Flip the 5/6 to become 6/5

2nd: Change division to multiplication

New equation: 3/2∙6/5

Answer: 1 and 4/5

Answer:

1)

Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

2)

Let x be the number of miles.

Then, we have inequality: 8x+2<=10

Solve the inequality: 8x+2<=10

Subtract 2 from both the sides:

8x+2-2<=10-2

Simplify

8x<=8

:

Divide by 8 both sides we get

x<=1;  

as shown in figure 1.

4)  

From the context of the problem :

we can say that Paul can travel 1 miles or less before reaching his limit of $10.

Step-by-step explanation:

Answer:

1. 27 liters

2. 125.8%

3. 3 years

4. 0.98%

5. 9.6 years

Step-by-step explanation:

1. (60%)(45) = 27 liters

2. Percentage of weight relative to ideal weight = (100%)(78/62) = 125.8%, rounded to nearest 10th of a percent.

3. (20%)(15) = 3 years

4. Assume that the beginning height is 2552 meters and the height increases 25 meters.  Then, the percentage increase = (100%)(25/2552) = 0.98%, rounded to the nearest 100th of a percent.

5. Beni's age = (40%)(24) = 9.6 years

Step-by-step explanation:

The volume of the stone = 8 × 5 × 2 = 80

Using density = mass / volume

So 2.5 = mass / 80

2.5 × 80 = mass

200 = mass

please give me brainliest answer  

volume:

(8cm×5cm×2cm)=80cm³

I don't know the mass , sorry

Answer:

A. -4 feet per minute (FPM)

B. -24 feet below sea level.

Step-by-step explanation:

Answer:

2e+3e=180-70

5e=110

e=110÷5

e=22

Answer:

18

Step-by-step explanation:

x + x + 7 = 43

2x + 7 = 43

     -7     -7

2x = 36

x = 18

Answer:

104

Step-by-step explanation:

Answer:

87%

Step-by-step explanation:

Answer:

find the difference between the two times by subtracting them;

59.48-56.24= 3.24 seconds

Step-by-step explanation:

[tex] \frac{0.2x - 3.2}{5} = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x = \frac{12.2}{0.2} \\ \boxed{ x = 61}[/tex]

Answer:

1. Can I use the Atm for free?

2. What happens if I withdraw more money than I have in my account?

3. Does my account pay me intrest?

Step-by-step explanation:

1.ATMs allow you to withdraw money from your checking account without visiting a bank branch. But some withdrawals could cost you. Many banks charge you to use machines operated by other banks or third parties, and those fees can add up quickly.

2. Withdrawing more than your account contains is called an overdraft. Bank overdraft services generally allow your transaction to go through, but you will be charged a fee. Some banks prevent you from overdrafting when swiping your debit card and may let you request that all transactions are declined when your account doesn’t contain enough funds.

3. Generally, if checking accounts pay interest, the rate is very low. High-yield checking accounts offer higher interest but typically require higher balances. Savings accounts offer higher rates, but because the accounts are intended for saving, they’re subject to different rules

Answer:

p=7

Step-by-step explanation:

pqrs equal to tuv perimeters =60

triangle=20×3

60

Trapezium=(p+8)+12+12+3p

60=4p+32

4p=28

p=7

[tex]b \: .) \: \: - 67.2[/tex]

hope it helps

Answer:

to solve a no solution equasion, you solve it like any other question. 4 example 3 +7 = 10 so 3 + _ = 10 its the same

Step-by-step explanation:

Step-by-step explanation:

Words Decimal Representation Scientific Notation

ten million 10,000,000 1 x 107

one hundred million 100,000,000 1 x 108

one billion 1,000,000,000 1 x 109

ten billion 10,000,000,000 1 x 1010

Step-by-step explanation:

answer/ explanation is in the picture

Answer:

2.02units

Step-by-step explanation:

tan68°=[tex]\frac{5}{x}[/tex]=2.4750868534163,so x ≈2

Answer:

option D

[tex] {10x}^{2} + 3x - 8[/tex]

Answer:I would say A I found out 2X^2+-1 first

Step-by-step explanation:2x

2

+−1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

is nax

n−1

.

2×2x

2−1

Multiply 2 times 2.

4x

2−1

Subtract 1 from 2.

4x

1

For any term t, t

1

=t.

4x

Then I saw that 6-2 making 4 so I chose the first one

Answer:

f it not possible to prove the triangle are conqrugent.

Answer:

D

Step-by-step explanation:

AAS

∠A = ∠D        Given

∠B = ∠C         Given

BC = CB         Reflexive property

ΔABC ≅ ΔDCB       AAS Congruent

The expression 1/2(x divided by 4)+y when evaluated for x = 16 and y = 2/5 is 12/5

The mathematical statement of the expression is given as

1/2(x divided by 4)+y

When the above expression is expressed using proper mathematical operators

We have the followng expression

1/2(x/4) + y

From the question, we have the followng values

x = 16 and y = 2/5

This means that

1/2(x/4) + y = 1/2(16/4) + 2/5

When evaluated, we have

1/2(x/4) + y = 12/5 or 2.4

Hence, the value of the expression si 12/5

Read more about expression at

https://brainly.com/question/15775046

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[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\sf \longmapsto x + y = 7 \: \: - - - (i)[/tex]

[tex]\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)[/tex]

By first equation,

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x = 7 - y[/tex]

Now, we can find the original value of y.

[tex]\sf \longmapsto 3x - 2y = 11[/tex]

[tex]\sf \longmapsto 3(7 - y) - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 3y - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 5y = 11[/tex]

[tex]\sf \longmapsto - 5y = 11 - 21[/tex]

[tex]\sf \longmapsto - 5y = - 10[/tex]

[tex]\sf \longmapsto y = \dfrac{ - 10}{ - 5} [/tex]

[tex]\sf \longmapsto y = 2[/tex]

Now, we can find the original value of x.

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x + 2 = 7[/tex]

[tex]\sf \longmapsto x = 7 - 2[/tex]

[tex]\sf \longmapsto x = 5[/tex]

Therefore, the values of x and y are 5 and 2 respectively.

157/5....................

Answer:

0.8

Step-by-step explanation:

just use guess and check. Divide each of the constants by the width of one point. When you  find a constant that matches, try that out with all the other widths, if it works with the other widths, then you found the right constant!

Answer:

111

Step-by-step explanation:

the answer is c)111

hop it helps

Answer:

-2/3x+4

Step-by-step explanation:

the reason is that if we take 2 point from the graph for example;

0,4 and 6,0

1) to get the gradient it is y2-y1/x2-x1

sub 0,4 and 6,0 into the equation from 1

4-0/0-6 which is 4/-6

4/-6 = 2/-3 and +4 because as seen in the graph it's hits the y-axis at +4

so it is 2/-3x + 4