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Bezzdna [24]
3 years ago
7

Mary is trying to raise 150 dollars to buy a new pair of ugg boots . She was given $25 for her birthday. She makes 25 dollars

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
5 0
So this is pretty simple. So we know that Mary tries to raise 150 dollars. We also know that she already has $25. Also Mary gets paid 25 dollars every time she babysits. So we know that we have to multiply for $25 times d. So it's our job to find out how many times she babysits. Then you have to add up what she already has which is $25. So put that together 25xd then add that answer by 25 and BOOM there you go..









If your having trouble the answer is d=5. So multiply 25 x 5 then add.  
hichkok12 [17]3 years ago
4 0
Here is a esay way 150$ - 25$ 
=> 125$ / 25
=> 25$ x 5$
=> 125$
She Must baby sit 5 days  to buy the boots
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Tìm x biết<br> 1) 2x(x-8)+x-8=0<br> 2) 2x^3-32x=0<br> 3) 5x(x-2021)-x+2021=0
Keith_Richards [23]

Answer:

C) x – 2). 2 ... -2x ≤ 2. ⇔ x ≥ -1. Tập nghiệm S = {x | x ≥ -1}. Bài 2. Gọi x (km) là quãng đường

Step-by-step explanation:

3 0
3 years ago
chris is 3 years older than jacob. Nathan is 18 years old. two years ago the sum of all their ages was 59 years old how old is j
Lelechka [254]

           <u>Today</u>          <u>2 years ago</u>

Chris:   x + 3            (x + 3) - 2   = x + 1

Nathan: 18               (18) - 2       = 16

Jacob:   x                (x) - 2          = x - 2

Chris + Nathan + Jacob = sum

x + 1  +     16     +   x - 2   = 59

                            2x - 15 = 59   <em>added like terms (x and x) and (1, 16, and -2)</em>

                                   2x = 74   <em>added 15 to both sides</em>

                                     x = 37    <em>divided both sides by 2</em>

Answer: Jacob is 37 yrs old



3 0
3 years ago
Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +
11111nata11111 [884]

2x(3×2 – 2x – 8)

6 \times 3 - 4 \times 2 - 16x

6(3 - 4 \times 2 - 16x)

2x(3 \times 2 - 2x - 8)

7 0
3 years ago
What is the equation of log x 729=3?
pishuonlain [190]

Answer:

Step-by-step explanation:

Move 729  to the left side of the equation by subtracting it from both sides.  x  3 − 729  = 0  Factor the left side of the equation.  Rewrite  729  as 9

3

.  x

3

−

9

3

=

0

. Since both terms are perfect cubes, factor using the difference of cubes formula,  a

3

−

b

3

=

(

a

−

b

)

(

a

2+ab+b2). Where a

=x and  b=9. (x−9)(x2+x⋅9+92)=0

. Simplify.  Move 9  to the left of x

.  (x−9)(x2+9x+92)=0.  Raise  9  to the power of 2

.  (x

−9

)(

x

2

+

9

x

+81

)=0

. Set x

−9  equal to  0 and solve for x.  Set the factor equal to  0. x−

9=

0. Add 9  to both sides of the equation.  x=9

. Set x2+

9

x

+

81 equal to  0  and solve for  x

.  Set the factor equal to 0

.  x2+9x+81=0.  Use the quadratic formula to find the solutions.  −b±√b2−4(ac) 2a. Substitute the values  a=1, b=9, and c=81  into the quadratic formula and solve for  x.  −9±√92−4⋅ (1⋅81

) 2⋅

1  Simplify.  Simplify the numerator. Raise 9  to the power of 2. x=−9±√81−4⋅(1⋅81) 2⋅1. Multiply  

81

by  

1

.

x

=

−

9

±

√

81

−

4

⋅

81

2

⋅

1

Multiply  

−

4

by  

81

.

x

=

−

9

±

√

81

−

324

2

⋅

1

Subtract  

324

from  

81

.

x

=

−

9

±

√

−

243

2

⋅

1

Rewrite  

−

243

as  

−

1

(

243

)

.

x

=

−

9

±

√

−

1

⋅

243

2

⋅

1

Rewrite  

√

−

1

(

243

)

as  

√

−

1

⋅

√

243

.

x

=

−

9

±

√

−

1

⋅

√

243

2

⋅

1

Rewrite  

√

−

1

as  

i

.

x

=

−

9

±

i

⋅

√

243

2

⋅

1

Rewrite  

243

as  

9

2

⋅

3

.

Tap for fewer steps...

Factor  

81

out of  

243

.

x

=

−

9

±

i

⋅

√

81

(

3

)

2

⋅

1

Rewrite  

81

as  

9

2

.

x

=

−

9

±

i

⋅

√

9

2

⋅

3

2

⋅

1

Pull terms out from under the radical.

x

=

−

9

±

i

⋅

(

9

√

3

)

2

⋅

1

Move  

9

to the left of  

i

.

x

=

−

9

±

9

i

√

3

2

⋅

1

Multiply  

2

by  

1

.

x

=

−

9

±

9

i

√

3

2

Factor  

−

1

out of  

−

9

±

9

i

√

3

.

x

=

−

1

9

±

9

i

√

3

2

Multiply  

−

1

by  

−

1

.

x

=

1

−

9

±

9

i

√

3

2

Multiply  

−

9

±

9

i

√

3

by  

1

.

x

=

−

9

±

9

i

√

3

2

The final answer is the combination of both solutions.

x

=

−

9

−

9

i

√

3

2

,

−

9

+

9

i

√

3

2

The solution is the result of  

x

−

9

=

0

and  

x

2

+

9

x

+

81

=

0

.

x

=

9

,

−

9

−

9

i

√

3

2

,

−

9

+

i

√

3

2

7 0
4 years ago
A school will offer pizza on Friday's if at least 30% of the students will buy it. A sample of 50 students asked if they would b
Whitepunk [10]

Answer:

0.0614

Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

- The minimum required proportion of students, p = 30%

- A sample of n = 50 students were taken and out of the sample x = 10 people responded willing to buy pizza.

- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

           Expected ( Mean - u ) = n*p = 50*0.3 = 15 people.

- The standard deviation for the normal distribution can be determined as follows:

          standard deviation ( s ) = √n*p*(1-p)

                                                 = √50*0.3*(0.7)

                                                 = √10.5 = 3.2404

- We will assume that the random variable X follows normal distribution:

                       X ~ Norm ( 15 , 3.2404^2 )

- To determine the probability of sample of size n = 50 with proportion or lower. The number of people willing to buy pizza on friday as per survey are x = 10.

- Evaluate the standard normal ( Z-score ):

                      P ( X < x ) = P ( Z < ( x - u ) / s )

                      P ( X < 10 ) = P ( Z < ( 10 - 15 ) / 3.2404 )

                      P ( X < 10 ) = P ( Z < -1.54301 )

- Use the standard normal tables to determine the value of P ( Z < -1.54301 ):

                     P ( X < 10 ) = P ( Z < -1.54301 ) = 0.0614

Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

5 0
3 years ago
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