A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed? (Hint: 1 quart
gallon)

Step-by-step explanation:

180 ° - 146°=34°

Where by isosceles triangle is 180

The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²

Volume:

Surface area:

Ratio of volume to surface area of solid X and Y respectively

64 : 208 = 729 : x

64/208 = 729/x

64 × x = 208 × 729

64x = 151,632

x = 151,632 / 64

x = 2,369.25cm²

Learn more about surface area:

https://brainly.com/question/76387

#SPJ1

[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]

x = -1

Step-by-step explanation:

[tex] \sf\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1[/tex]

Taking LCM

[tex] \sf \hookrightarrow \frac{x(x + 1) + (x - 1)(x - 2)}{(x - 2)(x + 1)} = - 1 \\ \\ \sf \hookrightarrow \frac{ {x}^{2} + x + {x}^{2} - 3x + 2 }{ {x}^{2} - x - 2} = - 1 \\ \\ \sf \hookrightarrow \frac{2 {x}^{2} - 2x + 2 }{ {x}^{2} - x - 2 } = - 1[/tex]

Cross multiplying

[tex] \sf \hookrightarrow 2 {x}^{2} - 2x + 2 = - 1( {x}^{2} - x -2) \\ \\ \sf \hookrightarrow 2 {x}^{2} - 2x + \cancel2 = - {x}^{2} + x + \cancel2 \\ \\ \sf \hookrightarrow 3 {x}^{2} - 3x = 0[/tex]

Taking 3 common

[tex] \sf \hookrightarrow {x}^{2} - x = 0 \\ \\ \sf \hookrightarrow x(x - 1) = 0 \\ \\ \sf \hookrightarrow x - 1 = 0 \\ \\ \\ \green{\boxed{ \hookrightarrow x = 1}}[/tex]

Taking x as 1

[tex] \sf \implies\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1 \\ \\ \sf \implies \frac{1}{1 - 2} + \frac{1 - 1}{1 + 1} = - 1 \\ \\ \sf \implies - 1 + 0 = - 1 \\ \\ \sf \implies - 1 = - 1[/tex]

Answer:

[tex]210547[/tex]

Hope this helps. :)

Answer:

210547

Step-by-step explanation:

Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.

Hope this Helps!

:D

Answer:

Find x

The angles are corresponding.

We have

x+35°+90°=180 (angles in a triangle)

x= 55°

Please give Brainliest

Answer:

x = 20 degrees

Step-by-step explanation:

I cannot give a thorough explanation but I will show my workings and reasoning.

Reasoning:

Vertically opposite angles are equal

Angles in a triangle add up to 180 degrees

Workings:

35 multiplied by 2 is 70

70 add 90 is 160

180 minus 160 is 20

x = 20

Answer:

3/5+1/3= 9/15+5/15= 14/15

Step-by-step explanation:

Hi there!

To make fractions have a common denominator, multiply both the numerator and the denominator by a number. In this case, 3/5= 9/15, because both the numerator and denominator are multiplied by 3. 1/3= 5/15, using the same rule. 9/15+5/15=14/15

Hope this helped! If it did, pls press the heart :)

Answer:

It is the fourth option, D.

3421880 number of the different meals are possible.

The arrangement of the different things or numbers in the number of the ways is called as the combination.

It is given that:-

Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.

So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,

so the number of possible meals to this point is

n = 7  x  10 = 70

Finally, you finish off with a dessert, so the number of meals is:

n = 70 x 4 = 280

Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is

n = 77 x  1010 x  44 = 3421880

Therefore 3421880 different meals are possible.

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ1

Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

Answer:

464 units²

Explanation:

Part A

Length × Width = 8 × 16 = 128 units²

Part B

Length × Width = 24 × 8 = 192 units²

Part C

Length × Width = 12 × 4 = 48 units²

Part D

Length × Width = 24 × 4 = 96 units²

Total Area: 128 + 192 + 48 + 96 = 464 units²

Answer:

464 units²

Step-by-step explanation:

The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.

(see attached diagram)

Total area of the rectangle = width × length

                                             = 24 × (16 + 4 + 4)

                                             = 24 × 24     ← the shape is actually a square!

                                             = 576 units²

Missing Area 1

Top left square = 8 × 8

                         = 64 units²

Missing Area 2

Bottom right rectangle = 4 × 12

                                      = 48 units²

Total area = area of rectangle - missing area 1 - missing area 2

                 = 576 - 64 - 48

                 = 512 - 48

                 = 464 units²

Answer:

16 boys

Step-by-step explanation:

in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.

Answer:

[tex]512x^3[/tex]

Step-by-step explanation:

[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]

Step-by-step explanation:

Hello all beautiful your day

Answer:

33.6

Step-by-step explanation:

this is a circle

so

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

so

V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured =  2664.31/3.14 x 8.6

radius sqaured =  2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured =  2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured =  2664.31/105.504 ≈ 25

25 square rooted is 5

so

33.6

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

slope/gradient=[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

                        =[tex]\frac{-9.75+9}{-1-4}[/tex]

                        =[tex]\frac{3}{20}[/tex]

Answer:

The given equation is expansion of (a-b)² = a²-2ab+b²

[tex]\sqrt{81-18\sqrt{7}+7} \\ \sqrt{ {9}^{2} -2 \times 9 \times \sqrt{7}+ { \sqrt{7} }^{2} } \\ \sqrt{ {(9 - \sqrt{7})}^{2} } \\ {(9 - \sqrt{7})}[/tex]

hope that help.

Answer:

[tex]9-\sqrt{7}[/tex]

Step-by-step explanation:

Given expression:  [tex]\sqrt{81-18\sqrt{7}+7}[/tex]

To simplify the given expression, use the "A minus B Whole Square" identity.

A minus B Whole Square identity

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Comparing  [tex]81-18\sqrt{7}+7[/tex]  to the right side of the identity:

Therefore:

[tex](9-\sqrt{7})^2=81-18\sqrt{7}+7[/tex]

Finally:

[tex]\sqrt{81-18\sqrt{7}+7}=\sqrt{(9-\sqrt{7})^2}=9-\sqrt{7}[/tex]

The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.

Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,

[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]

Jeff has 2 1/2 cups of strawberries. In the fractional number,

[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]

Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,

[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]

Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Learn more about the mixed number here;

https://brainly.com/question/1746829

#SPJ1

Answer:

why don't u send the pictures so I can help u out

Answer:

21.25=4.25p

Step-by-step explanation:

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her

strawberries. one pound of strawberries costs $4.25.

1/5

The equation to represent the situation is 4.25p=21.25.

Ms. Diaz buys 5 pounds of strawberries.

A mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Mr. Diaz pays for strawberries = $21.25

price for one pounds = $4.25

Then,

Number of pounds * cost  = Total cost for strawberries.

p * 4.25 = 21.25

p = 21.25 / 4.25

p = 5

Hence, the equation that can represent 4.25p=21.25

Learn more about equation here:

https://brainly.com/question/16255566

#SPJ5

Answer:

The population was 600 in 1968

Step-by-step explanation:

The population of an island decreased by 40% over 50 years, so the population in 1968 will be equal to 600.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided by the question,

The current population in 2018 = is 360

which is 40% less than the population in 1968.

So, 60% of the total population will be equal to 360.
Let the total population is x.

60% × x = 360

x = (360 × 100)/60

x = 600

Therefore, the population at that time was 600.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

Answer:

(15/360)*whatever the circumferance is

Step-by-step explanation:

Length of arc = 2π * radius * angle/360

And 2π * radius= circumference

Therefor we can replace that in the eqaution so we can do

circumference *angle/360=lengnth of arc

Work Shown:

[tex]-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5[/tex]

In the second to last step, the inequality sign flips because we divided both sides by a negative number.

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

~

(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

~

(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

~

(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

~

∴ C) (3 , 2) is your answer.

~

Answer:

1, 2, 3, 6, 13, 26, 39, 78

Step-by-step explanation:

The factors of a number are the numbers that "go into" 78 "evenly" that is, without a remainder. You can make a factor tree or divide to find the prime factors. Any combination "goes into" 78. That's why we'll include 6 and 26 on this list.

1×78

2×39

3×26

6×13

all make 78!

The expected value of N will be given as:- Money =  N² -  5.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given in the question that:-

So from the given information, the expression will be:-

N be a random variable that corresponds to your net winnings in dollars.

Money =  N² -  5.

From the above equation, we can calculate the amount earned by the spinner number that comes.

Therefore the expected value of N will be given as:- Money =  N² -  5.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Step-by-step explanation:

the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).

now, the whole retail price is reduced by 12%.

that means we have to subtract 12% from the 120%.

but careful, we cannot just do 120-12=108.

that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.

we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.

we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :

120 × 0.88 = 105.6%

so, the new retail price is now only 5.6% over the manufacturer price.

Answer:

Answer b of the first one

answer of q9

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

2

=4+i

Real

2x+3y

​

​

+

Imaginary

(2y−3x)

​

​

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1)  &  eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

13

5

​

y=

13

14

​

∴(x,y)=(

13

5

​

,

13

14

​

)

Was this answer helpful?

upvote

196

downvote

23

SIMILAR QUESTIONS

star-struck

If e

x+iy

=α+iβ, then x+iy is called logarithm of α+iβ to the base e.∴log

e

​

(x+iy)=log

e

​

(re

iθ

) =log

e

​

r+iθ where r is modulus value of x+iy & θ be the argument of x+iy If i

α+iβ)

=α+iβ, then α

2

+β

2

 equals

Hard

View solution

>

The modulus of (1 + i) (1 + 2i) (1 + 3i) is equal to

Answer:

Q8.  a.  IR

Q9.  b.  -4

Step-by-step explanation:

Q8- what's the S.S of the inequality: x² + 4 > 2

x² + 4 > 2

⇔ x² > 2 - 4

⇔ x² > -2

Then the set of solutions is all real numbers because  x² is always a positive number which means for all real numbers  x² > -2.

……………………………………………………………………………

Q9- if x + yi = (1 + i)⁴ , then

x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4

(Just remember that (1 + i)² = 2i )

Answer:

7.065 in^2

Step-by-step explanation:

Answer:

7.06858...in²

if we are using 3.14

7.065in²

Step-by-step explanation:

3 / 2 = 1.5

A = πr²

A = π(1.5²)

A = π(2.25)

A = 7.068in²

(if we are using 3.14 for pi)

A = πr²

A = 3.14(1.5²)

A = 3.14(2.25)

A = 7.065in²

Answer:

1 is A. 4

2 is Center: (-3, -4) and radius: 7

3 is C

Let me know if you do change your mind and want work shown !

Answer: 15.9

Step-by-step explanation: