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4 years ago

The bottom right says what u need to do (7)

Mathematics

2 answers:

Allushta [10]4 years ago

6 0

It is $9 per hour. If you look at the "1 hour" mark on the x-axis, you can see that it lines up with $9 on the y-axis.

Arlecino [84]4 years ago

4 0

It would be A I believe

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The dimensions of a rectangular garden were 4m by 5m. Each dimension was increased by the same amount the garden then had an are

pogonyaev

The dimension of new garden is 7 meter by 8 meter

Solution:

The dimensions of a rectangular garden were 4m by 5m

Length = 4 m

Width = 5 m

Each dimension was increased by the same amount the garden then had an area of 56 square meter

Let "x" be the amount of increase

Then,

Length = 4 + x

Width = 5 + x

Also, given that,

New area = 56 square meter

The area of rectangle is given as:

$Area = length \times width$

Substituting the values we get,

$56 = (4+x)(5+x)\\\\56 = 20 + 4x + 5x + x^2\\\\x^2 + 9x + 20 - 56 = 0\\\\x^2 + 9x -36=0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text{For } x^2+9x-36 \text{ we get , }$

a = 1 and b = 9 and c = -36

Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,

$x = \frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-36\right)}}{2\cdot \:1}\\\\x = \frac{-9\pm \sqrt{81+144}}{2}\\\\x = \frac{-9 \pm 15}{2}$

We get two solutions,

$x = \frac{-9+15}{2} \text{ or } x = \frac{-9-15}{2}\\\\x = 3 \text{ or } x = -12$

Since dimension cannot be negative, ignore x = -12

Thus solution is x = 3

Length = 4 + x = 4 + 3 = 7

Width = 5 + x = 5 + 3 = 8

Thus dimension of new garden is 7 meter by 8 meter

5 0

3 years ago

Constance's car has a 12-gallon gas

antiseptic1488 [7]

Answer:

7.5 hours

Step-by-step explanation:

Constance's car has a 12-gallon gas tank.

She can travel 25 miles on one gallon of gas, so she can travel

$25\cdot 12=300$ miles using all gas from the tank.

Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.

So, Constance can drive for

$300 : 40=7.5$ hours.

3 0

3 years ago

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.06 oun

alexandr1967 [171]

Answer:

The potato bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn chip bag assembly line.

Step-by-step explanation:

Popcorn mean= μ`1= 3.06

Popcorn St. Dev= σ1= 0.02

Potato Mean= μ`2= 5.05

Potato St. Dev= σ2= 0.05

Finding the z score

z= x- u / σ

Popcorn z= 3.06- 3.03/0.02= 1.5

Potato Z= 5.05-5.07/0.05= -0.4

The mean is taken to be at zero ( 0) therefore difference of 0.4 is less than a difference of 1.5

Choice 3 is the best option .

7 0

3 years ago

The least common multiple of 5 and p is 30 .Which number does p represent?

Colt1911 [192]

I believe it would be 6

3 0

3 years ago

Read 2 more answers

A license plate in California consists of 3 letters followed by 4 digits. How many different license plates are possible if the

Natali [406]

The answer would be 156,000,000

26 x 25 x 24= 15,600
15,600 x 10,000=156,000,000

So yea there is 156,000,000 different license plates

8 0

3 years ago