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3 years ago

This one is for question #7

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

solong [7]3 years ago

6 0

Answer:

b.) 350 = 0.25m + 300

Step-by-step explanation:

His earnings are a fixed amount, $300, and a variable amount that depends on the number of miles.

The variable amount depends on the number of miles he drives.

For 1 mile, he earns $0.25

For 2 miles, he earns $0.25 * 2

For m miles, he earns $0.25 * m

The total amount he earns is the fixed amount plus the variable amount

300 + 0.25m or 0.25m + 300

He earned $350, so we get the equation

350 = 0.25m + 300

Answer: b.) 350 = 0.25m + 300

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If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.

Serggg [28]

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

4 0

3 years ago

Read 2 more answers

BRAINLIEST ********

timama [110]

Answer:

$ 1249.6

Step-by-step explanation:

given,

cost of saddle = $534.00

riding chaps cost = $87.02

boots cost = $143.99

hat cost = $55.87

pairs of glove cost = $15.94

sales tax paid = 7.5%

Sam's lesson cost = $35.00 per lesson

number of lesson = 10

Total purchase cost

= $534.00 + $87.02 + $143.99 + $55.87 + $15.94

= $ 836.82

cost included sales tax

= 1.075 x $ 836.82

= $ 899.58

Cost of lesson = 10 x $35.00 = $350.0

Total cost of the Sam

= $ 899.58 + $350.0

= $ 1249.58

= $ 1249.6

7 0

4 years ago

Determine if the following system of equations has no solutions, infinitely many

sleet_krkn [62]

Answer:

Exactly one solution

Step-by-step explanation:

6 0

3 years ago

Which expression is equivalent to -3x+24? Select two answers!

Softa [21]

CORRECT ONES: A and C

NOT: B, D, and E

4 0

3 years ago

a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar

xenn [34]

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83. $\underline{\overline 3}$ feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

$\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x$

$y = \mathbf{250 - \dfrac{3}{2} \cdot x}$

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

$\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2$

$\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}$

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, $\dfrac{dA}{dx} = 0$

Finding the value of x at the maximum point, we get;

$\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0$

Therefore;

$\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}$

$\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125$

The length of the plot that will give the most area, y = 125 feet

Learn more here:

brainly.com/question/16337916

brainly.com/question/16545343

6 0

3 years ago