All categories

3 years ago

To make a quilt, a quilter is buying fabric in two colors, blue and green.

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

Answer:

<h2>3.375yards of blue fabric </h2><h2>6.125yards of green fabric</h2>

Step-by-step explanation:

step one:

given data

blue fabric costs $9 a yard.

green fabric costs $13 a yard.

Let x represent the number of blue yards of fabric purchased and

let y represent the number of green yards of fabric purchased.

Step two:

The quilter needs at least 9.5 yards of fabric in total.

x+y>=9.5--------1

The quilter can spend up to $110 on fabric.

9x+13y<=110----2

from equation

x+y>=9.5

x=9.5-y

put x=9.5-y in equation 2 we have

9(9.5-y)+13y<=110----2

85.5-9y+13y=110

4y=110-85.5

4y=24.5

y=24.5/4

y=6.125

put y=6.125 in x=9.5-y to find x

x=9.5-6.125

x=3.375

Hence the quilt can purchase

3.375yards of blue fabric

6.125yards of green fabric

You might be interested in

Please Help!!!

mylen [45]

B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

$\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots$

That is, we can write the sum more compactly as

$\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n$

The series is geometric with common ratio $\dfrac23$ , so the series converges (and thereby has a sum), so the answer is D.

6 0

3 years ago

How to find all real solutions

AlladinOne [14]

$\bf \sqrt{\sqrt{x-5}+x}=5\leftarrow \textit{squaring both sides}
\\\\
\sqrt{x-5}+x=25\implies \sqrt{x-5}=25-x\leftarrow \textit{squaring both sides}
\\\\
x-5=(25-x)^2\implies x-5=625-50x+x^2
\\\\
0=x^2-51x+630\implies 0=(x-30)(x-21)$

and surely you'd know what the roots are

7 0

3 years ago

Jenny runs a cake making business. She receives an order for 6 carrot cakes. Here are the ingredients for 1 carrot cake. How mu

Ivahew [28]

Since the mix ingredient is 1 carrot cake, Jenny is going to need 6 mixed spices for 6 carrot cakes.

8 0

3 years ago

-9s - 8 = -4s + 8 - 3s

Olenka [21]

I wont solve this because Im to lazy, but I do recommend some of these sites to help you with your problem. MathPapa Algebra Calculator and PhotoMath. Hope this helps.

4 0

4 years ago

Read 2 more answers

Solve each multiplication problem, use the cancellation method if possible, and reduce your answers. a. 39⁄64 × 8⁄13 b. 2⁄3 × 1⁄

blsea [12.9K]

A). 39⁄64 × 8⁄13 ====> 39 / 64 * 8 / 13 ===> 312/832 ==> 3 / 8 (Decimal: 0.375).

B). 2⁄3 × 1⁄5 × 4⁄7 ==> 2/3 * 1/5 * 4/7 ====> 8 / 105 ===> (Decimal: 0.07619)

C). 3⁄5 × 10⁄12 × 1⁄2 ===> 3/5 * 10/12 ===> 30/60 ===> 1/2 ==> 1/2 * 1/2 ===> 1/4 (Decimal: 0.25)

D). 4⁄9 × 54 ===> 4 * 54/ 9.1 ====> 216/9 ===> 24/1 ===> 24

E). 20 × 3 1⁄5 ===> 20 * 16/ 1.5 ====>320/5 ====> 64/1 =====> 64

F). 11 × 2 7⁄11 ====> 319/11 ====> 29/1 ======> 29

G). 5 1⁄3 × 5 1⁄8 ==> 16/3 * 41/8 ==> 656/24 ==> 82/3 ==> 27 1/3 ==> (Decimal: 27.33333)

H). 10 2⁄3 × 1 3⁄8 ===> 32/3 * 11/8 ===> 44 / 3 ===> 14 2/3 ==> (Decimal: 14.666667)

Hope that helps!!!! : )

7 0

3 years ago