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2 years ago

Reasoning Practice

Mathematics

1 answer:

anastassius [24]2 years ago

3 0

Step-by-step explanation:

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How do you solve a two step equation with a fraction

dimaraw [331]

-35 ok that is the answer

8 0

3 years ago

The length of a rectangle is 3 m less than twice the width if the area of the rectangle is 66 5 m² find the dimensions

goblinko [34]

Let the width be x.

Then,Length = ( 2x - 3 ) m

<u>According to the question, </u>

Area of rectangle = 665 m² [ Given ]

Formula: Area of rectangle = Length × Width

$\sf \implies \: length \: \times breadth = 665 \: m {}^{2}$

$\sf\implies \: (2x - 3) \times x = 665$

$\sf \implies \: 2 {x}^{2} - 3x = 665$

$\sf \implies \: {2x}^{2} - 3x - 665 = 0$

<u>By split middle term </u>

$\sf \implies \: 2 {x}^{2} - 38x + 35x - 665 = 0$

$\sf\implies \: 2x(x - 19) + 35(x - 19) = 0$

$\sf \implies \: (2x + 35) = 0 \: or \: (x - 19) = 0$

$\sf \implies \: x = \dfrac{ - 35}{2} \: or \: \: x = 19 \:$

Note: Ignore negative number.

Now,

Width of a rectangle = 19 m

Length of a rectangle = 2x - 3 = 2 × 19 - 3 = 38 - 3 = 35 m

8 0

2 years ago

Jim read 24 pages in 40 minutes on Tuesday and 18 pages in 24 minutes on Wednesday. Are the ratios of pages read to minutes on T

IRISSAK [1]

Answer: Not proportional

Step-by-step explanation:

Ratio of pages read by Jim on Tuesday to minutes = $\frac{24}{40}=\frac{3}{5}=3:5$

Ratio of pages read by Jim on Wednesday to minutes = $\frac{18}{24}=\frac{3}{4}=3:4$

But $\frac{3}{5}\neq \frac{3}{4}$

Therefore, the ratios of pages read to minutes on Tuesday and Wednesday are not proportional.

8 0

3 years ago

Read 2 more answers

URGENTLY ANSWER, RIGHT TRIANGLE TRIGNOMETRY

Otrada [13]

So for this you will be doing proportions. Your equation will look like this: $\frac{5}{DE} =\frac{DE}{20}$

Firstly, cross multiply: $DE^2=100$

Next, square root both sides of the equation, and your answer should be $DE=10$

3 0

3 years ago

You want to deposit $1000 in a savings account for 3 years. One bank

Butoxors [25]

Answer:

2nd bank

Step-by-step explanation:

bank one:10*2=(20*3=60)

$1000+$100+$60=$1160

total after 3 years = $1160

bank two:$10*6=(60*3=180)

$1000+$180=$1180

total after 3 years = $1180

4 0

3 years ago