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2 years ago

How are you supposed to do this

Mathematics

2 answers:

OlgaM077 [116]2 years ago

4 0

Answer:

4x < -8

you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;

/4 /4(divide by 4 from both sides)

x < -2

Pavlova-9 [17]2 years ago

3 0

Answer:

4x < -8

you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;

/4 /4(divide by 4 from both sides)

x < -2

Step-by-step explanation:

You might be interested in

For the situation, write and solve an equation. Then, explain what your solution means. If you get stuck, try drawing a diagram

Bess [88]

Answer:

5r + (5 x 6) = 84

looking for rice per pound.

Step-by-step explanation:

5r + (5 x 6) = 84

This shows an equation where we need to make r the subject to establish how many pounds a bag of rice weighs.

5r + (5 x 6) = 84

5r + (30) = 84

5r = 84-30

5r = 54/5

r = 10 4/5

r = 10.8 pounds

5 0

3 years ago

Read 2 more answers

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago

Point Z is equidistant from the vertices of ΔTUV.

Zepler [3.9K]

Consider right triangles BTZ and BUZ.

ZB = ZB (Common)

ZT = ZU (Given)

Therefore, ΔBTZ ≅ ΔBUZ (By RHS theorem)

Hence, by CPCTC,

∠BTZ = ∠BUZ

5 0

3 years ago

Read 2 more answers

The double number lines show the ratio of yards to miles. A double number line with 6 equally spaced tick marks. The line labele

tia_tia [17]

There will be 781440 yards in 444 miles.

Given, The double number lines show the ratio of yards to miles.

A double number line with 6 equally spaced tick marks.

The line labeled yards, reads from left to right: 0, four unlabeled tick marks, 8,800. The line labeled miles, reads from left to right: 0, four unlabeled tick marks, 5.

as, 1 mile = 1760 yards

we have to find the number of yards in 444 miles.

if 1 mile = 1760 yards

on multiplying both the sides by 444, we get

444 miles = 1760 × 444

444 miles = 781440 yards.

So, there are 781440 yards in 444 miles.

Hence, there are 781440 yards in 444 miles.

Learn more about Coordinate Geometry here brainly.com/question/18269861

#SPJ4

6 0

1 year ago

(1+(0.065÷365))^365t=4

marta [7]

This is the future value quadrupled in t years at an annual interest rate of 6.5% compounded daily. We need to find t.

1*(1+0.065/365)^(365t)t=4
take log on both sides,
365t(log(1+0.065/365)=log(4)
=>
365t=log(4)/log(1+0.065/365)
t=(log(4)/log(1+0.065/365))/365
=(1.38629/.000178066)/365
=21.33 years

Check with the rule of 69, applicable to continuous compounding (an approximation to current problem) to double money, it take 69/interest rate in % years.
=69/6.5
=10.62 years
To double twice (quadruple), it takes twice 10.62
=21.24 years, not that far from 21.33 that we got earlier.

7 0

3 years ago