How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?

Step-by-step explanation:

the answer is -1. I have a picture, take a lot at it

Answer: 3x+3

Step-by-step explanation:

4x+3-x

= (4x-x) + 3

= 3x+3

Answer: V=9.4 cm^3

Step-by-step explanation:

[tex]V=\pi r^2h\\V=\pi (1)^2(3)\\V=9.4cm^3[/tex]

Answer:

∠CBA

Step-by-step explanation:

Answer:

<CBA

Step-by-step explanation:

The vertex has to be in the middle

<CBA

<ABC

or we can name it with just the vertex

<B

Answer:

b and c

Step-by-step explanation:

Given

x² - 4x = - 5

Solve by using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 2)x + 4 = - 5 + 4

(x - 2)² = - 1 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )

x = 2 ± i

Then solutions are

x = 2 - i → b

x = 2 + i → c

The prime factorization of 384 = 2^7 * 3.

So in order to make it a perfect square, you must multiply it by 2*3 = 6 to make is 2^8 * 3^2.

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

- x + 3y = 6 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the x- term

- 2x + 6y = 12 → (3)

Add (1) and (3) term by term to eliminate x

0 + 7y = 7

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 1 = - 5 ( subtract 1 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 1 ) → A

Answer:

20

Step-by-step explanation:

□□□□□□□□■■■■■■■■■○○○○○

In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.

Sum of 1110 between A, B and C:

This means that:

[tex]A + B + C = 1110[/tex]

For every rs 8 given to A,B may get Rs 5

This means that:

[tex]\frac{A}{B} = \frac{8}{5}[/tex]

And thus:

[tex]5A = 8B[/tex]

[tex]A = \frac{8B}{5}[/tex]

For every Rs 7 given to B ,C may get rs 4​

This means that:

[tex]\frac{B}{C} = \frac{7}{4}[/tex]

And thus:

[tex]7C = 4B[/tex]

[tex]C = \frac{4B}{7}[/tex]

Amount of B:

Replacing into the original equation:

[tex]A + B + C = 1110[/tex]

[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]

[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]

[tex]111B = 1110*35[/tex]

[tex]B = \frac{1110*35}{111}[/tex]

[tex]B = 350[/tex]

Amounts of A and C:

A and C are given as functions of B, so:

[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]

[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]

Thus:

The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.

For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.

A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.

In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:

1) Divide a sum of RS 1110 between A, B, C:

[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1  

2) So that for every RS 8 give to A, B may get RS 5:

[tex]\frac{a}{b} = \frac{8}{5}[/tex]

[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2

3) And for every RS 7 given to B, C may get RS 4:

[tex]\frac{b}{c} = \frac{7}{4}[/tex]

[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3

Now we solve the resulting system, the solution set of the system is:

[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]

A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.

Answer:

1.8 x 10^7 gallons in one hour.

Step-by-step explanation:

60 x 60 = 1,200 = 1.2 x 10^3 (Amount of seconds in an hour)

(1.5 x 10^4) x (1.2 x 10^3)

= 1.8 x 10^7

Answer:

Step-by-step explanation:

From the given angles ∠ABC and ∠GHK,

m∠ABC = m∠GHK [Given]

m∠ABC = m∠GHL + m∠KHL [Since, ∠GHL + ∠KHL = ∠GHK]

(6x + 2)° = (5x - 27)° + (3x + 1)°

6x + 2 = 8x - 26

8x - 6x = 28

2x = 28

x = 14

m(BC) = m(HK) [Given]

3z + 6 = 8z - 9

8z - 3z = 6 + 9

5z = 15

z = 3

m(AB) = m(GH)

5y - 8 = 3y

2y = 8

y = 4

m∠ABC = mGHK = (6x + 2)

                            = 6(14) + 2

                            = 86°

m(AB) = m(GH) = 3y

                        = 3(4)

                        = 12 units

m(BC) = m(HK) = (3z + 6)

                        = 3(3) + 6

                        = 15 units

m(∠KHL) = (3x + 1)°

              = 3(14) + 1

              = 43°

Answer:

12

Step-by-step explanation:

Add 10l to 12l to13l to11l to 14l=60l the divide 60l by the number of houses which will be 12 and there is your correct answer

Step-by-step explanation:

the 60 preliminary published articles are a constant.

all the new articles are simply added to that to get the total number of published articles.

every months produces 12 more articles.

so,

m = 1 means a = 60 + 1×12 = 72

m = 3 means a = 60 + 3×12 = 60 + 36 = 96

m = 4 means a = 60 + 4×12 = 60 + 48 = 108

m = 9 means a = 60 + 9×12 = 60 + 108 = 168

Step-by-step explanation:

[tex]s = \pi \times {r}^{2} = \pi \times {6}^{2} = 36\pi[/tex]

[tex]h = 18 \times \sin(60) = 9 \sqrt{3} [/tex]

[tex]v = s \times h = 36\pi \times 9 \sqrt{3} = 324 \sqrt{3} \pi[/tex]

Answer:

c =4 4/9 minutes

Step-by-step explanation:

The formula is

1/a + 1/b = 1/c  where a and b is the time for each working alone and c is the time working together

1/8 + 1/10 = 1/c

Multiply by 40c to clear the fractions  ( 40c is the least common multiple)

40c(1/8 + 1/10 = 1/c)

5c + 4c = 40)

9c = 40

Divide by 9

9c/9 = 40/9

c =4 4/9 minutes

Answer:

The expression for the height of the solid is:

[tex]\displaystyle h = x^2+x-9[/tex]

Step-by-step explanation:

Recall that the volume of a rectangular solid is given by:

[tex]\displaystyle V = \ell wh[/tex]

Where l is the length, w is the width, and h is the height.

We know that the volume is given by the polynomial:

[tex]\displaystyle V = 3x^4-3x^3-33x^2+54x[/tex]

And that the length and width are given by, respectively:

[tex]\displaystyle \ell = 3x \text{ and } w =x-2[/tex]

Substitute:

[tex]\displaystyle 3x^4-3x^3-33x^2+54x=(3x)(x-2)h[/tex]

We can solve for h. First, divide both sides by 3x:

[tex]\displaystyle \frac{3x^4-3x^3-33x^2+54x}{3x}=(x-2)h[/tex]

Divide each term:

[tex]\displaystyle x^3-x^2-11x+18=(x-2)h[/tex]

To solve for h, divide both sides by (x - 2):

[tex]\displaystyle h = \frac{x^3-x^2-11x+18}{x-2}[/tex]

Since this is a polynomial divided by a binomial in the form of (x - a), we can use synthetic division, where a = 2. This is shown below. Therefore, the expression for the height of the solid is:

[tex]\displaystyle h = x^2+x-9[/tex]

Linear equation is the equation of a straight line.

Forms of a linear equation

The forms of a linear equation are:

Slope intercept form

From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation

Point slope form

From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation

Standard form

From the standard form, the values of x and y can be easily calculated.

Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.

Read more about linear equations at:

https://brainly.com/question/17895632

Answer:

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

lenth = 7

Breadth = 10

Height = 9

7 x 10 x 9

= 630 yd^2

Answered by G a u t h m a t h

please mark it as brainliest and thank it, if it helped you!

Answer:

c

Step-by-step explanation:

just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry

Answer:

-31  

Step-by-step explanation:

2x - abs(4 - 7x)

2x = 2 * - 3 = - 6

4 - 7x = 4 - 7*-3 = 4 + 21 = 25

-6 - abs(25)

-6 - 25 = -31

You should note three things.

1. the absolute value of 25 is 25

2. There is a - sign outside the influence of the 25 so 25 becomes - 25

3. - 6 - 25 = - 31

Answer:

a) 30

b)600pi

Step-by-step explanation:

For the first questions, since the arc is 240°, the area of the sector and circumference will be 240/360 or 2/3 of the total of the circles'. Therefore 125.6 x 3/2 is the circumference, which is 188.4. When we divide this by 6.28, we get 30

Now, since the area is pi r^2 where we know that r=30, we get 900pi as the area of the whole thing, however since the sector is 2/3 of the whole circle, 2/3 x 900pi = 600pi

Answer:

Step-by-step explanation:

For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169

Solve algebraically, b^2= 144, so b=12, which is the height.

Part B

Determine the surface area of each cardboard piece, and add together.

20 × 13 × 2 = 520

1/2 × 10 × 12 × 2 = 120

20 × 10 = 200

So approximately 840 cm of cardboard was used

Answer:

Step-by-step explanation:

To make x the subject, isolate x

7x + 8f = E

Subtract 8f from both sides

7x = E - 8f

Divide both sides by 7

[tex]x =\frac{E-8f}{7}[/tex]

Answer:

x = [tex]\frac{E-8f}{7}[/tex]

Step-by-step explanation:

Given

E = 7x + 8f ( subtract 8f from both sides )

E - 8f = 7x ( isolate x by dividing both sides by 7 )

[tex]\frac{E-8f}{7}[/tex] = x

Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

[tex]\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}[/tex]

2. 51 males to 21 females

[tex]\dfrac{51}{21}=\dfrac{17}{7}[/tex]

3. 1,500 meters in 6 seconds

[tex]\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}[/tex]

4. $36 for 4 rounds of shrimp

[tex]\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}[/tex]

Hi there!  

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I believe your answer is:  

False.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]10.00 - 7.50 = 2.50[/tex]

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»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

148°

Step-by-step explanation:

The central angle is twice the angle at the circumference, subtended on the same arc.

shaded angle = 2 × 74° = 148°

Answer:

24.56 minutes

Step-by-step explanation:

68,700 - (625 * x) = 53,350

We subtract 53,350 from both sides

15,350 - (625 * x) = 0

625x = 15350

x = 15350/625

x = 24.56

He needs to wait 24.56 minutes to get his car.

Answer:

x=300

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

−150=−0.5x

Divide both sides by −0.5.

−0.5

−150

​

=x

Expand  

−0.5

−150

​

 by multiplying both numerator and the denominator by 10.

−5

−1500

​

=x

Divide −1500 by −5 to get 300.

300=x

Swap sides so that all variable terms are on the left hand side.

x=300

Hope this helped!

Answer:

Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.

[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]

Refer to the attached pictures for the proof & the figure.

_____

Hope it helps.

RainbowSalt2222

[tex] {v}^{2} = {u}^{2} + 2as \\ {v}^{2} = 144 - 108 \\ {v}^{2} = 36 \\ v = 6 , -6 \: [/tex]

Answer:

11,4021

Step-by-step explanation:

the steps are simply ,

44231

11^4021

Answer:

The Prime Factorization is:

11 x 4021

In Exponential Form:

111 x 40211

CSV Format:

11, 4021

All Factors of 44231:

1, 11, 4021, 44231

hope it helps

please mark Brainliest