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Iteru [2.4K]
3 years ago
13

Jennifer is saving money to buy a bike. The bike costs $230. She has $125 saved, and each week she adds

Mathematics
1 answer:
Olegator [25]3 years ago
7 0

Step-by-step explanation:

230 - 125 = 105

If she saves 15 every week

Then

105 ÷ 15 = 7 weeks

It will take her 7 weeks

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Solve by factorising<br><br><img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="abs
Paladinen [302]

Step-by-step explanation:

\underline{ \underline{ \text{Solving \: a \: quadratic \: equation \: by \: factorisation \: method}}} :

In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factor is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p•q = 0 , then either p = 0 or q = 0 . In other words , if the product of two numbers is 0 , then one or both of the numbers must be 0.

\underline{ \underline{ \text{Let's \: solve}}} :

\tt{ {x}^{2}  + 16x +  55 = 0}

Here , we have to find the two numbers that multiplies to 55 and adds to 16.

⤑ \tt{ {x}^{2}  + (11 + 5)x + 55 = 0}

⤑ \tt{ {x}^{2}  + 11x + 5x +  55 = 0}

⤑ \tt{x(x + 11) + 5(x + 11) = 0}

⤑ \tt{(x + 5)(x + 11) = 0}

Either :

\tt{x + 5 = 0 \: \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \: Or :  \:  \:  x + 11 = 0}

\sf{⟶ x  = 0 - 5} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:⟶  x =  0 - 11

\tt{⟶x =  - 5 } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:     \:  \:⟶   x =  - 11

\red{ \boxed{ \boxed{ { \tt{Our \: final \: answer :  \boxed{ \underline{  \bold{ \tt{x  =  - 5 \: , - 11}}}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0
3 years ago
Help anyone<br> 8th grade math need it asap
Step2247 [10]

Answer:

The value of x = -13

Step-by-step explanation:

Given the expression

\frac{0.2x+1}{2}=-0.8

Multiply both sides by 2

\frac{2\left(0.2x+1\right)}{2}=2\left(-0.8\right)

simplify

0.2x+1=-1.6

Subtract 1 from both sides

0.2x+1-1=-1.6-1

Simplify

0.2x=-2.6

Divide both sides by 0.2

\frac{0.2x}{0.2}=\frac{-2.6}{0.2}

Simplify

x=-13

Therefore, the value of x = -13

5 0
3 years ago
Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Despué
Dennis_Churaev [7]

Answer:

Al final, Eduardo tenía 20 dulces.

Step-by-step explanation:

Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:

Eduardo 1X = Adrián 1X

Eduardo 0.5X = Adrián 1.5X

Eduardo 1.25X = Adrián 0.75X

0.75 X = 12

X = 12 / 0.75

X = 16

1.25 X = 16 x 1.25 = 20

Así, al final, Eduardo tenía 20 dulces.

6 0
3 years ago
what is the correct upper and lower control limits for 8.42 pounds and the accectable range for plus or minus .65 pounds
sweet [91]

Answer:

9.07 and 7.77 respectively.

Step-by-step explanation:

To determine the upper control limit, add 0.65 lb to 8.42 lb, obtaining 9.07 lb.

To determine the lower one, subtract 0.65 lb from 8.42 lb, obtaining 7.77 lb.

7 0
4 years ago
Please answer these and find the slope intercept form for each one.
damaskus [11]
1. 5/y=2/3x +3
2. y= 7/1-4
3. y=2/5x8
4. y=-3/4 +1 I could be wrong but I think this is right
5 0
3 years ago
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