Can someone help I am struggling with the question on the photo?

Answer:

You have to multiply all the sides by 4.

B to C = 2.8*4

2.8 * 4 = 11.2

B to A = 3*4

3*4 = 12

A to C = 2.2*4

2.2*4 = 8.8

Hope this helped!

Answer:

(3, 4)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Just plug in the coordinates as variables to find your answer:

(2 + 4)/2 = 3

(4 + 4)/2 = 4

Answer:

Option (4)

Step-by-step explanation:

Given table in the picture is,

x              y              1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive numbers.

Therefore, this table represents a linear function.

Option (4) will be the answer.

The type of function represented in the table is linear.

Given the table in the picture is,

x              y             1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive number.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Therefore, this table represents a linear function.

Option (4) will be the answer.

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Answer:

a) x = 17/8

b) x = 23

c) x = -8/11.

Step-by-step explanation:

a)

-3x + 5 = 5x - 12

Add 3x to both sides:

5 = 8x - 12

Add 12 to both sides:

17 = 8x

Divide both sides by 8:

17/8 = 8x/8

x = 17/8.

---------------------

b)

6(x-3)-4(x+2) = 20

Distribute:

6x - 18 - 4x - 8 = 20

Combine like terms:

2x - 26 = 20

Add 26 to both sides:

2x = 46

Divide both sides by 2:

x = 23.

---------------------

c)

-2/5(x + 3) = 1/3(x - 2)

Distribute:

-2/5x - 6/5 = 1/3x - 2/3

Add 2/5x to both sides by creating a common denominator:

-6/15x - 6/5 = 5/15x - 2/3

-6/5 = 11/15x - 2/3

Add 2/3 to both sides. Create common denominator:

-18/15 = 11/15x - 10/15

-8/15 = 11/15x.

Divide both sides by 11/15:

[tex]\frac{-8}{15}* \frac{15}{11} = \frac{-8}{11} = x[/tex]

x = -8/11.

Answer:

y = x/3 + 10

Step-by-step explanation:

Let y be the number of minutes the flight takes

She can take off 10 minutes later than expected. She will be able to travel at  a speed three times than expected.

Let her expected speed be s, therefore, she can travel at 3s.

x = number of minutes the flight was expected to take.

In terms of distance and speed:

x = d / s ______(1)

where d = total distance traveled

The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:

t = d / 3s

From (1):

=> t = x / 3

The time she spent waiting is 10 minutes.

Therefore, the total time that the flight takes (plus waiting time) is:

y = t + 10

=> y = x/3 + 10

Answer:

Option A and C

Step-by-step explanation:

An isosceles triangle have:

=> Two equal angles

=> Two sides with the same length

Answer:

A & C

Step-by-step explanation:

The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.

Answer:

$4.18 dollars per pound

Step-by-step explanation:

We can find the price in dollars per pound by dividing the cost by the number of pounds:

14.63/3.5 = 4.18

This means the price in dollars per pound is $4.18

Answer:

3x+4

Step-by-step explanation:

The perimeter is given by

P = 2 ( l+w)

We know the perimeter is  8x+8

8x+8 = 2 ( l+w)

Divide each side by 2

4x+4 = l+w

The width is x

4x+4 = l+x

Subtract x from each side

4x+4-x = l+x-x

3x+4 = l

The length is 3x+4

Answer:

1) 245 x 20 remander2/13 = 4940

2) square root of 58 - 29 + 38

= 8.19

Step-by-step explanation:

245 x 20 remander2/13= 245* 20 2/13

245 x 20 remander2/13= 245 * 262/13

245 x 20 remander2/13= (245*262)/13

245 x 20 remander2/13 =64190/13

245 x 20 remander2/13= 4937.69

245 x 20 remander2/13 = 4940

square root of 58 - 29 + 38

= √(58-29+38)

square root of 58 - 29 + 38

= √(96-29)

square root of 58 - 29 + 38

= √(67)

square root of 58 - 29 + 38

= 8.185

square root of 58 - 29 + 38

= 8.19

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

Answer:

7 cm

Step-by-step explanation:

The area of a right triangle is given by

A = 1/2 bh

21 = 1/2 y* 6

21 = 3y

Divide each side by 3

21/3 = 3y/3

7 = y

The base is 7 cm

Area formula: A = bh/2

We have a height of 6, a base of y, and a area of 21.

Fill in and solve:

21 = y * 6 / 2

21 = 6y/2

21 = 3y

7 = y

Therefore, the base is 7

Best of Luck!

Answer:

4/6 or 66%

Step-by-step explanation:

Odd numbers from 1 to  6 are: 1, 3, 5

Numbers less than 4 are: 1, 2, 3

So there are  4/ 6 possible outcomes.

So the probability is 4/6 or 66%.

Answer:

x+5

Step-by-step explanation:

so first you would divide by x (which means you would multiply x+2 by -x)

x^2 + 7x + 10

-x^2 - 2x

5x + 10

then you would divide by 5 (which means you would multiply x+2 by -5)

5x + 10

5x +10

0

So then to check it you would multiply x+5 by x+2

(x+5)(x+2)

x^2 + 2x + 5x + 10

then simplify to get

x^2 + 7x + 10

Answer:

65°

Step-by-step explanation:

The missing angle is x°

tan x° = [tex]\frac{opposite }{adjacent}[/tex]

tan x° = [tex]\frac{850}{400\\}[/tex]

tan x° = 2.125

Using a calculator insert

tan^(-1)(2.125) ≈ 65°  (after rouding the the nearest unit)

Answer:

Number common to both sides=6

Step-by-step explanation:

Average of first four numbers=5

4*5=20

Average of the last four numbers=8

4*8=32

Average of all seven numbers=6 4/7

7*6 4/7

Find the number common to both sets of four numbers

Solution

4*5=20

4*8=32

32+20=52

7 * 6 4/7

=7*46/7

=46

Number common to both sides=52-46

=6

Answer: x>1/6

Step-by-step explanation:

For this problem, you solve it as if it had an equal sign.

-2(8x-4)<2x+5                        [distribute -2]

-16x+8<2x+5                           [combine like terms by adding and subtracting on both sides]

3<18x                                      [divide both sides by 18]

x>1/6

Answer:

-65536

Step-by-step explanation:

-1*4^8

Answer:

-65536

Step-by-step explanation:

Answer:

A. A = (3w - 5) * w

B. 2 feet squared

Explanation:

A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:

A = (3w - 5) * w

——————————

B. Plug in 2 for w using the given rule.

A = (3[2] - 5) * (2)

Distribute

(6 - 5) * 2

Subtract 5 from 6

1 * 2 = 2

The answer is 2 feet squared since this is area.

Step-by-step explanation:

2.(a) uniform speed = distance/ time

= ( 9×16) / 9

= 16 m/s

(b) 19-10 = 9s

(c) 16×9 = 144m

(d) rate of change of speed

= (v-u)/ t

= ( 7-16)/ 6

= -3/2 m/s²

3.(a) uniform speed = distance/ time

= ( 12×20 ) / 12

= 20 m/s

(b) 22-10 = 12s

(c) (12×20) + 1/2(20+60)(18)

= 240+720

= 960m

(d) acceleration

= (v-u)/ t

= ( 60-20 ) / 18

= 20/9 m/² or 2.22 m/s²

Answer:

It's the first one.

hope it helps :)

Step-by-step explanation:

Answer:

The base salary is $1,400

Step-by-step explanation:

Here, we are interested in calculating the base salary.

Now let’s picture his earnings as this, a base salary of let’s say $x and a percentage of y% of total sales as commission.

So let’s move!

For the month of march, his earnings is calculated as follows;

x + (y/100 * 15,800) = 2427

so we have;

x + 158y = 2427 •••••••(i)

For the month of April, we have

x + (y/100 * 21,100) = 2771.5

x + 211y = 2771.5 ••••••(ii)

So we have two equations to solve simultaneously.

We can easily get y by subtracting equation i from ii

That would be ;

(211y-158y) = 2771.5-2427

53y = 344.5

y = 344.5/53

y = 6.5%

So we can now get the base salary by substituting the value of y in any of the equations. Let’s use the first

x + 158(6.5) = 2427

x + 1027 = 2427

x = 2427-1027

x = $1,400

Answer:

A is right.  domain = {112, 120, 128, 136, 144}

Step-by-step explanation:

The range is the y-coordinate while the domain is the x-coordinate

y = x/4

x = 4y

domain = {4(28), 4(30), 4(32), 4(34), 4(36)}

= {112, 120, 128, 136, 144}

Answer:

$959.69 per oz

Step-by-step explanation:

A gold alloy is produced from pure gold and alloy.

10 oz of pure gold costs $1,288 per ounce

55 oz of alloy costs $900 per ounce

The first step is to add the cost of both the pure gold and alloy together

= (10 oz × $1288)+(55 oz × $900)

= $12,880+$49,500

= $62,380

Therefore the cost per ounce can be calculated as follows

= $62,380/10 oz + 55 oz

= $62,380/65 oz

= $959.69 per oz.

Hence the cost per ounce of the gold alloy is $959.69 per ounce

Answer:

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you

Answer:

290 m³

Step-by-step explanation:

Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.

Volume of rectangular prism = width (w) × height (h) × length (l)

==>The prism on top has:

l = 3m

w = 8-3 = 5m

h = 6m

Volume (V1) = 3*5*6 = 90m³

==>The prism beneath has:

l = 8m

w = 5m

h = 5m

Volume (V2) = 8*5*5 = 200m³

Volume of the composite figure = V1 + V2 = 90+200 = 290 m³

Answer:

£58,800

Step-by-step explanation:

The answer can be calculated using

FV=p(1+r/n)^nt

P=£50,000

r=2%=0.02

n=12

t=2009 to 2017=8 years

FV=p(1+r/n)^nt

=50,000(1+0.02/12)^12*8

=50,000(1+0.0017)^96

=50,000(1.0017)^96

=50,000(1.1771)

=58,855

FV=58,855

To the nearest £100=£58,800

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

The place value of 2 in 425.3 is tens of 20.

The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.

Given digit:

425.3

Write the number as shown below,

425.3 = 400 + 20 + 5 + 0.3

As you can see, the 2 is attached to the tens place,

Therefore, the place value of 2 in 425.3 is tens of 20.

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Answer: n=6

Step-by-step explanation:

To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.

[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]

[tex]3=\frac{1}2}n[/tex]                  [multiply both sides by 2]

[tex]n=6[/tex]