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3 years ago

Write slope intercept equation passing through (-5,0) and (0,4/5)

1 answer:

3 0

First find the slope by calculating rise (change in x) over run (change in y).

(4/5)-0/0-(-5)

(4/5)/5=0.16

The y intercept is 4/5. We know this because y interceot is the value of y when x is 0.

Then plug this into y=mx+b where m is slope andb is y intercept.

Final answer: y=0.16x+0.8 or y= 4/25x+ 4/5

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The sale price of a laptop bag is $35.00. This is 80% of the original price.

Marrrta [24]

Answer:

43.75 was the original price of the laptop bag

Step-by-step explanation:

according to question

X of 80% = 35

X x 80/100 = 35

X = (35x 100)/80

X = 43.75 dollars

8 0

2 years ago

The curved surface area of a right circular cylinder of height 14 cm is 88 cm².

Slav-nsk [51]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

➣ Height of cylinder = 14 cm
➣ Curved surface area = 88 cm²

$\begin{gathered}\end{gathered}$

TO FIND :

in the provided question we need to find :

➠ Radius of cylinder
➠ Diameter of cylinder

$\begin{gathered}\end{gathered}$

USING FORMULAS :

$\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}$

$\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}$

➛ Csa = Curved surface area
➛ π = 22/7
➛ r = radius
➛ h = height
➛ d = diameter

$\begin{gathered}\end{gathered}$

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}$

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}$

Hence, the diameter of the base of the cylinder is 2 cm.

$\rule{300}{2.5}$

3 0

2 years ago

Read 2 more answers

Find the radius of the circle. Leave your answer in simplest radical form.

dangina [55]

44 that is probably the answer since it's half

7 0

3 years ago

Jonah reads 5 1/2 chapters in his book in 90 minutes how long will it take him to read one chapter

Lelu [443]

If it takes him 90 minutes to read 5 and a half chapters, it would take him 16.36 minutes to read one chapter.

5 0

3 years ago

find the value of the letter in each of the following and give reasons for the steps involved 1 2 A+6 A B=A 0 9

nekit [7.7K]

Question:

Find the value of the letter in each of the following and give reasons for the steps involved:

1 2 A

+ 6 A B =

A 0 9

Answer:

128 + 681 = 809

Step-by-step explanation:

Here, let's use the general form of numbers where any letter must represent one value and each digit must be represented by just one letter.

Take the following:

A = 8

B = 1

Thus, A +B = 8 + 1 = 9

Also add:

8 + 2 = 10

In general form, tens digit is zero and the 1 is carried over.

I.e, A = 1 + 6 + 1 = 8

We can now see that,

A = 8

B = 1

Therefore,

1 2 A

+ 6 A B =

A 0 9

Will be written as:

128 + 681 = 809

4 0

3 years ago