Which ordered pair is a solution of the equation? -4x+7=2y-3

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Step 1: Parenthesis

6² - 5²

Step 2: Exponents

36 - 25

Step 3: Subtract

11

The dot is multiplication.

Answer:

11 is right, yes.

Step-by-step explanation:

The dot does mean multiplication. All you have to do is multiply 2*3 first, then do the powers, and you get 36-25, which is indeed 11.

The correct answer is 3780 bolts

Explanation:

In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:

500 nuts  (a)  = 1 hour (b)

750 nuts  (c) = x (time spent to make 750 nuts)

x = 750 x 1 / 500

x = 1.5

Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.

According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).

Answer:

5/12

Step-by-step explanation:

Answer:

51.33

Step-by-step explanation:

to get that, we must subtract area of segment DQE (its look like a slice of pizza) by the triangle DQE

so first, we find the area of segment DQE

Area of DQE = (58/360) * Area of whole circle

A.DQE = 58/360 * πr²

A.DQE = (58 * 3.14 * 25²)/360 = 316.34

save it then we do the second step to find the area of triangle DQE. Triangle DQE is isosceles triangle with ∠DQE = 58,

area of triangle = ½ * base * height * sin ∅

∆DEQ = ½ * DQ * EQ * sin 58°

∆DEQ = ½ * 25 * 25 * 0.848

So Area of ∆DEQ = 265.02

then finally we can find the area of segment the problem said

A.DQE - ∆DEQ = 316.34 - 265.02= 51.32 (near 51.33)

Answer:

the second one, you see:

first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]

[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]

Answer:

61.1 m is the correct answer.

Step-by-step explanation:

Given that

Brittany's kite has a string length = 65 m

Angle of elevation of kite = [tex]70^\circ[/tex]

A right angled triangle can be constructed for the given situation.

Please refer to the attached figure.

[tex]\triangle BFK[/tex] in which B is the position of Brittany.

K is the position of kite and

F is the point of field above which the kite is flying.

Given that the side BK = 65m

[tex]\angle B = 70^\circ[/tex]

To find, side FK = ?

We can use sine trigonometric identity to find the value of FK.

We know that :

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m[/tex]

Hence, the answer is 61.1 m.

Answer:

Option B

Step-by-step explanation:

=> [tex]f(x) = 3x+5[/tex]

=> [tex]g(x) = x^2[/tex]

Subtracting both

=> [tex](f-g)(x) = 3x+5-x^2[/tex]

Assembling

=> [tex](f-g)(x) = -x^2+3x+5[/tex]

Answer:

Step-by-step explanation:

total length = 6 + 6 + 6 = 18 cm

total breadth = 3 + 3 + 3 = 9 cm

perimeter = 2 ( l + b )

= 2 ( 18 + 9 )

= 2 × 27

54

Answer:

1080

Step-by-step explanation:

Multiply the value by 1440. Hope this helps!

Answer:

1080 minutes

Step-by-step explanation:

In a day there are 24 hrs so first we have to find 1 quarter of a day which will be;

24hrs ÷ 4 = 6hrs

The question says 3 quarters so you multiply 6hrs by 3

6hrs * 3 = 18hrs

Now will use proportion to answer the rest which is as follows.

If 1hr = 60 minutes,

then 18hrs = ? minutes

[tex]\frac{18}{1} * 60mins[/tex]

=1080 minutes.

Hope this will help.

Answer:

13

Step-by-step explanation:

The number of sheets of paper that were cut is 2 sheets

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of sheets of paper = 7 sheets

The number of pieces they were cut = 3 pieces

The new total number of sheets of paper = 13 sheets

So ,

The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper

The difference in sheets of paper = 13 - 7

                                                        = 6 sheets

Now , each paper is cut into 3 extra sheets

So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut

The number of papers cut = 6 / 3

                                           = 2 sheets of paper

Hence , the number of sheets of paper that were cut is 2 sheets

To learn more about equations click :

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Answer:

Mode

Step-by-step explanation:

The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.

So lets a student builds unifix cube towers to represent the ages of the five children as following:

3 1 2 2 4

Now the student first places them in order from smallest to largest

1 2 2 3 4

Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:

2 2 3

Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:

2

The tower in the middle is remaining i.e. 2

So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.

Answer:   34,560

Step-by-step explanation:

Total crayons of different color = 12

Total children = 3

Each child will get 4 crayons.

Number of combinations of selecting r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

The number of ways of selecting the first 4 crayons for first child = [tex]^{12}C_4=\dfrac{12!}{4!(12-4)!}=\dfrac{12\times11\times10\times9\times8!}{(24)\times 8!}\\\\=495[/tex]

Colors left = 12-4 =8

Now, the again selecting 4 colors out of 8 for second child = [tex]^{8}C_4=\dfrac{8!}{4!(8-4)!}=\dfrac{8\times7\times6\times5\times4!}{(24)\times4!}=70[/tex]

Colors left =4

Number of ways of selecting 4 colors out of 4 for third child  =1

Total number of ways = 495 x 70 x 1 = 34650   [By fundamental principle of counting]

Hence, the total number of ways = 34,560.

Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

[tex]2x^2-16x=-30[/tex]

Next, the rule is that the leading coefficient has to be a positive 1.  Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

[tex]2(x^2-8x)=-30[/tex]

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

[tex]2(x^2-8x+16)[/tex]

That's the left side.  Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

[tex]2(x^2-8x+16)=-30+32[/tex]

Completing the square allows us to create a perfect square binomial on the left which is in the form (x -   )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

[tex]2(x-4)^2=2[/tex]

Last step is to move the constant back over and set the quadratic back equal to y:

[tex]y=2(x-4)^2-2[/tex]

From here the vertex is apparent. It is (4, -2).

Answer:

B.

Step-by-step explanation:

When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.

Answer:

1.47

Step-by-step explanation:

Use the multiplication method.

Answer:

Hello!

_______________________-

4.9 x 0.3 = 1.47

Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.

Hope this helped you!

Answer:

y=65

x=50

Step-by-step explanation:

exterior angle of a triamgle is equal to sum of two interior angles

so

2y=130(as it is isosceles triangle)

y=65

we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)

therefore, x=50

Answer:

x=50°

y=65°

Step-by-step explanation:

I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand

Let's take the point of intersection as O

Since It is a straight line(on both sides of O)=180°

Therefore x=180°-130°=50°

In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal

When the two sides of a triangle are equal, The base angles are always equal

Second triangle is 180°

The top angle is 50°

the base angles (which y and the angle below it)

is equal to 180°-50°=130°

Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°

Answer:

The answer is A

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Answer:

The answer is below

Step-by-step explanation:

When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same

Answer:   [tex]\bold{a)\ y=\dfrac{9}{7}x+\dfrac{18}{7}}[/tex]

                b) y = 3x - 6

Step-by-step explanation:

Median is the line from the Vertex to the Midpoint of the opposite side

a)

Step 1: Find the Midpoint of QR:

  Q = (4, 6)  R = (5, -3)

   [tex]x_M=\dfrac{x_Q+x_R}{2}\qquad \qquad \qquad y_M=\dfrac{y_Q+y_R}{2}\\\\\\x_M=\dfrac{4+5}{2}\qquad \qquad \qquad \qquad y_M=\dfrac{6+(-3)}{2}\\\\\\x_M=\dfrac{9}{2} \qquad \qquad \qquad \qquad \qquad y_M=\dfrac{3}{2}[/tex]

              [tex]Midpoint_{QR}=\bigg(\dfrac{9}{2},\dfrac{3}{2}\bigg)[/tex]

Step 2: Find the slope (m) for P (-2,0) to Midpoint of QR:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{\frac{9}{2}-0}{\frac{3}{2}-(-2)}\\\\\\m=\dfrac{\frac{9}{2}}{\frac{7}{2}}\\\\\\m=\bigg{\dfrac{9}{7}}[/tex]

Step 3: Find the equation of the line from P to Midpoint of QR:

[tex]y-y_P=m(x-x_P)\\\\\\y-0=\dfrac{9}{7}\bigg(x-(-2)\bigg)\\\\\\\\\large\boxed{y=\dfrac{9}{7}x+\dfrac{18}{7}}[/tex]

**************************************************************************************

b)

Step 1: Find the Midpoint of PR:

  P = (-2, 0)  R = (5, -3)

   [tex]x_M=\dfrac{x_P+x_R}{2}\qquad \qquad \qquad y_M=\dfrac{y_P+y_R}{2}\\\\\\x_M=\dfrac{-2+5}{2}\qquad \qquad \qquad \qquad y_M=\dfrac{0+(-3)}{2}\\\\\\x_M=\dfrac{3}{2} \qquad \qquad \qquad \qquad \qquad y_M=-\dfrac{3}{2}[/tex]

              [tex]Midpoint_{PR}=\bigg(\dfrac{9}{2},\dfrac{3}{2}\bigg)[/tex]

Step 2: Find the slope (m) for Q (4,6) to Midpoint of PR:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{6-(-\frac{3}{2})}{4-(\frac{3}{2})}\\\\\\m=\dfrac{\frac{15}{2}}{\frac{5}{2}}\\\\\\m=\bigg{3}[/tex]

Step 3: Find the equation of the line from Q to Midpoint of PR:

[tex]y-y_Q=m(x-x_Q)\\\\\\y-6=3(x-4)\\\\\\y-6=3x-12\\\\\\y=3x-12+6\\\\\\\large\boxed{y=3x-6}[/tex]

Answer:

Here's what I get  

Step-by-step explanation:

The range is the spread of the y-values (minimum to maximum).

cos x = adjacent/hypotenuse

In terms of the unit circle,

"adjacent" = x

"hypotenuse" = 1, so

cos x = the x-coordinate

Let's evaluate cos x as we go around the unit circle.

[tex]\begin{array}{rr}\mathbf{x/^{\circ}} & \mathbf{\cos x} \\0 & 1 \\90 &0 \\180 & -1 \\270 & 0 \\360 & 1 \\\end{array}[/tex]

The function y = cos x starts at 1, then decreases smoothly through 0 at 90° to -1 at 180°.

It then increases smoothly through 0 at 270° to 1 at 360°, and the cycle repeats.

The minimum value is -1.

The maximum value is 1

The range is −1 ≤ y ≤ 1.

Answer:

56

Step-by-step explanation:

Simply plug in -7 for x:

(-7)² + 7

49 + 7

56

Answer:

k Nishant

Step-by-step explanation:

there is no comman angle but their is common side that is AC

Subtract the values for May and April

13.8 - 6.3 = 7.5

Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

Answer:

Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.

Step-by-step explanation:

Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

These are the congruent segments.

If you want to learn more about segments, you can read:

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Responder:

4/y + 1/3

Explicación paso a paso:

Dado que:

3x - y = 12

3x = 12 + y

Divide ambos lados entre 3

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

Valor de 8x / 2y

8x / 2y = 4x / y

4x / a - - - (2)

Sustituye x = 4 + y / 3 en (2)

4 (4 + y / 3) ÷ y

(16 + 4g / 3) / y

16 / y + (4y / 3 ÷ y)

16 / y + (4y / 3 × 1 /y)

16 /y + 4/3

Dividiendo a través de 4

(16 /y) * 1/4 + (4/3) * (1/4)

(4 /y + 1/3)

Answer:

MP = Rs. 978.72

The market price of the article is Rs. 978.72

Step-by-step explanation:

Let MP represents the market price.

Let SP represents the selling price.

Let CP represents the cost price.

if an article is sold with 20% discount then there will be a profit of 15%.

0.80MP = 1.15CP

0.80MP - 1.15CP = 0  

If it is sold at 10% discount then there will be a profit of Rs.200

0.9MP - CP = 200

We are asked to find the market price of an article.

0.9MP - CP = 200

0.9MP×1.15 - 1.15CP = 200 ×1.15

1.035MP - 1.15CP = 230

But 1.15CP = 0.80MP

1.035MP - 0.80MP = 230

0.235MP = 230

MP = 230/0.235

MP = Rs. 978.72

Therefore, the market price of the article is Rs. 978.72