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Korvikt [17]
3 years ago
11

Dan was thinking of a number. Dan doubles it and adds 0.8 to get an answer of 58.9. Form an equation with

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

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20 feet of ribbon, cutting ribbon into 7 1/2 inches or 6 3/4 inch lengths to make bracelets. Write an algebraic expression that
IRINA_888 [86]

<u>ANSWER:  </u>

The algebraic expression for number of ribbons is \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x} and the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

<u>SOLUTION: </u>

Given, 20 feet of ribbon, cutting ribbon into 7\frac{1}{2} inches or 6\frac{3}{4} inch lengths to make bracelets.

Let us convert the mixed fraction to improper fractions.

7 \frac{1}{2}=\frac{7 \times 2+1}{2}=\frac{15}{2} \text { and } 6 \frac{3}{4}=\frac{6 \times 4+3}{4}=\frac{27}{4}

Let, the length of bracelets can be made be “x”

First we have to remove the excess length of ribbon and then we have to divide the remaining with length of bracelet we want.

\text { number of ribbons }=\frac{\text { length of ribbon-excess ribbon.}}{\text {length of bracelet}}

\left.=\frac{20 \text { feet }-\left\{\frac{20 \text { feep }}{x}\right.}{x} \text { [we know that, }\{x\} \text { is fractional part of } x\right ]

So, the algebraic expression for number of ribbons is  \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}

Now, let us find the algebraic expression for feet of ribbon to make 100 ribbons.

We have 100 bracelets of length x, then total length = 100 × x

length of ribbon = 100x inches

\begin{array}{l}{=100 \mathrm{x} \times \frac{1}{12} \text { feet }} \\\\ {=\frac{25 x}{3} \text { feet }}\end{array}

So, the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

Hence, the algebraic expression for number of ribbons is  \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x} and the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

5 0
3 years ago
What is the length of the side labeled x cm?
UkoKoshka [18]
When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
</span>
<span> <span> <span> side x = 9.4264396482 </span> </span> </span> 









5 0
3 years ago
as a favor to her friend, Natasha worked 7 hours at a diner for $10 per hour last week. she also makes $8 per hour when she baby
Zinaida [17]

Answer:

7*10+8X>=206

Step-by-step explanation:

multiply  time 10 then you add the answer to that with 8X and then that answer is the answer to your problem

3 0
3 years ago
Read 2 more answers
Jackson had 1, 3/8 kg of fertilizer he used some to fertilize a flower bdd and he only had 2/3kg left how much fertilizer was us
ddd [48]

Answer:

Jackson had 1, ⅜ kg of fertilizer he used some to fertilize a flower bed and he only had ⅔ kg left how much fertilizer was used in the flower bed

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -23/

24

≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

Conversion a mixed number 3 3/

8

to a improper fraction: 3 3/8 = 3 3/

8

= 3 · 8 + 3/

8

= 24 + 3/

8

= 27/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths

Subtract: 1/

2

- 27/

8

= 1 · 4/

2 · 4

- 27/

8

= 4/

8

- 27/

8

= 4 - 27/

8

= -23/

8

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths.

Multiple: 1/

3

* the result of step No. 2 = 1/

3

* (-23/

8

) = 1 · (-23)/

3 · 8

= -23/

24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths

5 0
3 years ago
What is the product?
Tanzania [10]

Answer:

=\begin{pmatrix}-5&6\\ 1&-4\end{pmatrix}

Step-by-step explanation:

\begin{pmatrix}-3&4\\2&-5\end{pmatrix}\begin{pmatrix}3&-2\\ 1&0\end{pmatrix}

Multiply the row of the first matrix to the column of the second matrix

\begin{pmatrix}-3&4\end{pmatrix}\begin{pmatrix}3\\ 1\end{pmatrix}=\left(-3\right)\cdot \:3+4\cdot \:1

\begin{pmatrix}-3&4\end{pmatrix}\begin{pmatrix}-2\\ 0\end{pmatrix}=\left(-3\right)\left(-2\right)+4\cdot \:0

\begin{pmatrix}2&-5\end{pmatrix}\begin{pmatrix}3\\ 1\end{pmatrix}=2\cdot \:3+\left(-5\right)\cdot \:1\

\begin{pmatrix}2&-5\end{pmatrix}\begin{pmatrix}-2\\ 0\end{pmatrix}=2\left(-2\right)+\left(-5\right)\cdot \:0\

=\begin{pmatrix}\left(-3\right)\cdot \:3+4\cdot \:1&\left(-3\right)\left(-2\right)+4\cdot \:0\\ 2\cdot \:3+\left(-5\right)\cdot \:1&2\left(-2\right)+\left(-5\right)\cdot \:0\end{pmatrix}

simplifying them we get

=\begin{pmatrix}-5&6\\ 1&-4\end{pmatrix}

8 0
3 years ago
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