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2 years ago

What is the answer to -3x + 10 = 5x + -8

Mathematics

2 answers:

Inessa05 [86]2 years ago

7 0

Answer:

x = $\frac{9}{4}$

Step-by-step explanation:

So here we are trying to find the value of x;

Subtract 5x from both sides;

-8x + 10 = -8

Then, Subtract 10 from both sides;

-8x = -18

Divide both sides by -8;

x = $\frac{9}{4}$

PilotLPTM [1.2K]2 years ago

4 0

x= -2.25

Step-by-step explanation:

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What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)

Anni [7]

Answer:

Step-by-step explanation:

Use the slope formula: m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

m = $\frac{-3+3}{-2-5}=\frac{0}{-7} =0$

The slope of the line is 0.

3 0

3 years ago

find all the factors of 38,39 and 40. Do they have any factors in common? Explain how you can tell if some numbers have factors

Usimov [2.4K]

Answer:

Step-by-step explanation:

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7 0

3 years ago

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]

ANSWER:

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 $\frac{25 x}{3} \text { feet }$

SOLUTION:

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

Which ordered pair must be removed to make the relation a function. {(1, −5), (2, −4), (3, 4), (4, 3), ( 3, -4)}

Elena-2011 [213]

Answer:

I actually have no idea

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

if the letters of the word 'MOTHER'are written in all possible order and these words are written out as in dictionary ,find the

Marta_Voda [28]

There are 6 letters, each different
Before MOTHER, words from E , H will come
Words from E = 5! (there are 5 letters to arrange)
Words from H = 5!( there are 5 letters to arrange)

Now words starting by M will come.
First ME will have = 4! (as 4 letters will be arranged)
Then MH = 4!
Now words with MO
First words starting with MOE... =3!
And words starting with MOH... =3!
the words starting with MOR... =3!

Now, words starting from MOT will come
words starting with MOTE.. = 2!
then after words starting from MOTH will come and first word will MOTHER

so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3!
= 120 +120 + 48 + 18
= 306
so, rank of MOTHER = 307

7 0

3 years ago