Ask question

Ask question

All categories

2 years ago

5

Ms. Fontanges wants to put a line of bricks along the back edge of her yard. She needs 35 feet of bricks. The bricks she wants t

o buy are 10 inches long and cost $0.98 each. How much will Ms. Fontanges spend on bricks?

1 answer:

Oliga [24]2 years ago

5 0

Answer:

$41.16

Step-by-step explanation:

Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick

Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold

1 ft = 12 inches

Number of brick required = (35 * 12) ÷ 10

Number of bricks required = 42 bricks

Cost of brick required = Per length cost of brick * Number of bricks required

Cost of brick required = 0.98 * 42

Cost of brick required = $41.16

Ms. Fontanges would spend $41.16 on the purchase of bricks

You might be interested in

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

Solve for x: 1/8-2/×=5<br><br>someone pls help me ASAP

cricket20 [7]

Begin by subtracting 1/8 from both sides to get $- \frac{2}{x} =5- \frac{1}{8}$ and get a common denominator of 8 on the right: $- \frac{2}{x} = \frac{40}{8} - \frac{1}{8}$ . Now simplify and cross-multiply: 39x = -16 andx = -16/39

6 0

2 years ago

Which is the graph of f(x) = 4(1/2)^x

Alekssandra [29.7K]

t would be graph: B (0,4)

8 0

3 years ago

Index notation simplify 4^9 x 4^3

LenKa [72]

Answer:

$4^{12}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , then

$4^{9}$ × $4^{3}$ = $4^{(9+3)}$ = $4^{12}$

7 0

2 years ago

Simplify, then determine which is greater

Natasha_Volkova [10]

Answer:

1) answer is 2x^2 - x + 6

2) answer is 2x^2 + 2x + 2

Step-by-step explanation:

i dont know if this is what you wanted, but i tried to follow the directions as best i could

8 0

2 years ago

Read 2 more answers