Work out
a) 2/5of 60
b) 1/4 of 60

Answer:

21

Step-by-step explanation:

7/8 = x/24

Cross multiply.

8x = 24 × 7

8x = 168

x = 168/8

x = 21

Answer:

answer is d

Step-by-step explanation:

Answer:

x < -16

Step-by-step explanation:

Any number less than -16 will work. So x could equal -12309 or -109 or -50 and even -19234870237503 would work.

To find which inequalities of x work, simply subtract 19 on both sides.

Answer:

x < -16

Step-by-step explanation:

x + 19 < 3

Subtract 19 on both parts.

x < 3 - 19

x < -16

Answer:

AC=10

Step-by-step explanation:

Answer:

11. [tex]500z^{2} +400z+80[/tex]

12. [tex]704a^2 + 1344a + 640[/tex]

13. [tex]160y^2 + 44zy^2 + z^2y^2[/tex]

Step-by-step explanation:

11. [tex](50z + 20)(10z + 4) = ?[/tex]

Using Formula:

[tex](a+b) (c+d) = a(c+d)+b(c+d)[/tex]

[tex]50z(10z+4) + 20(10z + 4) = \\\Rightarrow 500z^{2} + 200 z+200z+80\\\Rightarrow 500z^{2} +400z+80[/tex]

12. [tex](88a + 80)(8a + 8) = ?[/tex]

Using Formula:

[tex](a+b) (c+d) = a(c+d)+b(c+d)[/tex]

[tex]\Rightarrow 88a(8a+8) + 80(8a + 8)\\\Rightarrow 704a^2 + 704a + 640a + 640\\\Rightarrow 704a^2 + 1344a + 640[/tex]

13. [tex](40y + zy)(4y + zy) = ?[/tex]

Using Formula:

[tex](a+b) (c+d) = a(c+d)+b(c+d)[/tex]

[tex]\Rightarrow 40y(4y + zy) + zy(4y + zy)\\\Rightarrow 160y^2 + 40zy^2 + 4y^2z + z^2y^2\\\Rightarrow 160y^2 + 44zy^2 + z^2y^2\\[/tex]

Answer:

Step-by-step explanation:

8 1/6=49/6

49/6*12=49*2=98

if this is the question 81÷6(81/6) ×12

243

EXPLANATION:

It would be

[tex] \sqrt{ \frac{x - 2}{ 2} } [/tex]

I hope this is what you're looking for!

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

Answer:

the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)

Answer:

37°

Step-by-step explanation:

∠ECF= ∠ACG

∠ACG= 90° - ∠GAC= 90° - 53°= 37°

Answer:

Adults = x

Students = y = x + 40. 40 more student than adult

Adult = $8,  Student = $6

Total for Adults = 8*x = 8x

Total for students = 6*y = 6y

Total = $1920

8x + 6y = 1920

y = x + 40

8x + 6y = 1920

Step-by-step explanation:

Above

Answer:

C

Step-by-step explanation:

Plug the values of f(x) and g(x) into the equation.

(8x^3 + 16x^2 -15)/2x+1

Then divide or simplify

I'm not exactly sure how to explain how to divide this but I'm sure of my answer

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, the lines are parallel and they do not intercept at a point.

There is no solution; your answer should be correct.

Answer:

yes it is no solution

Step-by-step explanation:

this is because since they both have the same slope, that means the two lines are parallel

and so therefore they will never intersect

so the answer is no solution

Answer:

The length of each side is 40 cm

Step-by-step explanation:

Divide the base in half

48/2 = 24

Then use the Pythagorean theorem

a^2 + b^2 = c^2 with the 1/2 base and the height as the legs

24^2 + 32^2 = c^2

576+1024 = c^2

1600 = c^2

Take the square root

sqrt(1600) = sqrt(c^2)

40 = c

The length of each side is 40 cm

Answer:

40 cm

Step-by-step explanation:

Side²= (Base/2)²+height²= (48/2)²+32²= 1600

Side= √1600= 40 cm

Answer:

{12,15}

Step-by-step explanation:

Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.

At endpoint x = 7,

f(7) = 7+5

f(7) = 12

At endpoint x = 9

f(9) = 9+5

f(9) = 14.

The function domain is therefore at {12,14}

Answer:

(B) -1

Step-by-step explanation:

We want to determine the rational number which is one tick mark to the left of  [tex]-\dfrac{3}{4}[/tex] .

If the number is to the left, it must be less than [tex]-\dfrac{3}{4}[/tex] .

Since there are 4 equal spaces between each number, the numbers between -1 and 0 are:

[tex]-1,-\dfrac{3}{4},-\dfrac{2}{4},-\dfrac{1}{4},0[/tex]

We can then see that the number one tick to the left of  [tex]-\dfrac{3}{4}[/tex] is -1.

The correct option is B.

Answer:

B?????

Step-by-step explanation:

Answer:

= 2y^2+18y+6/  y^3+8y^2+13y+6

Step-by-step explanation

Answer:

2(y^2+9y+3 / (y+1)^2(y+6)

Step-by-step explanation:

To solve this -->

Fraction --> Find the LCD -->

Combine all

Answer:

12 red marbles

Step-by-step explanation:

You make an equation: 3x+4x=21

Then, you get 7x=21.

By using algebra, you get x=3.

Then you muliply 3 by 4 since the ratio of red marbles is 4.

So you get 12.

Answer:

There are 12 red marbles

Step-by-step explanation:

green : red : total

3           4       3+4=7

We want a total of 21

21 /7 =3

Multiply by 3

green : red : total

3*3       4*3   7*3

 9         12     21

Answer:

£ 14,430

Step-by-step explanation:

Costing Price = £13,000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14,430

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

Answer:

A.

Step-by-step explanation:

There are 3 ft in a yd. That means if we have 1 ft left over, then we have 1/3 yd left over. Add that to our 1 yd and we get 1 1/3 yds

Answer:

Step-by-step explanation:

The integer is 45, since integers are only whole numbers and they're negative counterparts, so even if the fraction or decimal is negative, it is not an integer because it's not a whole number. Hope that helps!

Answer:

[tex]45/9\\45\\14/2[/tex]

Step-by-step explanation:

An integer is a number that can be written without a fractional component.

[tex]-92.67=-278/3[/tex]

[tex]-6/7=-6/7[/tex]

[tex]45/9=5[/tex]

[tex]45=45[/tex]

[tex]14/2=7[/tex]

Answer:

im confused ill try to find answer n help you.

Step-by-step explanation:

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

Answer:

B. Pentagon

Step-by-step explanation:

A cross-section is basically the 2D figure created by slicing through a 3D shape.

Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.

Here, the two bases are pentagons, so we know the cross-section will be a pentagon.

Thus, the answer is B.

~ an aesthetics lover

Step-by-step explanation:

If sine theta is 3/5, taking the sine inverse will give you 36.87°.

4tan theta is 4 × tan36.87 = 3

3sin theta = 3 × sin36.87 = 1.8

6cos theta is 6× cos36.87 = 4.8

Therefore, it becomes 3 + 1.8 - 4.8 = 4.8 - 4.8

The answer is 0

Answer:

[tex] \boxed{\sf 0} [/tex]

Given:

[tex] \sf sin \theta = \frac{3}{5} [/tex]

To Find:

[tex] \sf 4tan \theta + 3sin \theta - 6cos \theta[/tex]

Step-by-step explanation:

[tex]\sf As \ we \ know, \\ \sf sin 37 \degree = \frac{3}{5} \\ \\ \sf \therefore \ sin \theta = sin 37 \degree \\ \\ \sf \implies \theta = 37 \degree[/tex]

[tex]\sf \implies tan \theta = \frac{3}{4} \\ \\ \sf \implies cos \theta = \frac{4}{5}

[/tex]

[tex]\sf So, \\ \sf \implies 4tan \theta + 3sin \theta - 6cos \theta \\ \\ \sf Putting \ the \ values \ of \ tan \theta , sin \theta \ and \ cos \theta \ respectively: \\ \sf \implies ( 4 \times \frac{3}{ 4}) + (3 \times \frac{3}{5}) - (6 \times \frac{4}{5} ) \\ \\ 4 \times \frac{3}{ 4} = 3: \\ \sf \implies \boxed{3} + (3 \times\frac{3}{5}) - (6 \times \frac{4}{5} ) \\ \\ \sf 3 \times 3 = 9: \\ 3 + \frac{\boxed{9}}{5} - (6 \times \frac{4}{5} ) \\ \\ \sf 6 \times 4 = 24: \\ \sf 3 + \frac{9}{5} - \frac{\boxed{24}}{5} \\ \\ \sf Put \ 3 + \frac{9}{5} - \frac{24}{5} \ over \ the \ common \ denominator \ 5: \\ \sf \implies 3 \times \frac{5}{5} + \frac{9}{5} - \frac{24}{5} \\ \\ \sf \implies \frac{15}{5} + \frac{9}{5} - \frac{24}{5} \\ \\\sf \implies \frac{15 + 9 - 24}{5} \\ \\ \sf 15 + 9 = 24: \\ \sf \implies \frac{\boxed{24} - 24}{5} \\ \\ \sf 24 - 24 = 0: \\ \sf \implies \frac{\boxed{0}}{5} \\ \\ \sf \implies 0 [/tex]

Answer:

49 feet

Step-by-step explanation:

the same unit of measurement has to be the same between these two things. That means it can't be -1.5. It has to something constant we can multiply for both the shadows and real life objects to match. So, 3.5/2=1.75

That means for every foot there is 1.75 in the shadow (feet)

So 1.75*28=49

We can check: 28*1.75  2*1.75=3.5

Answer:

(1/2) y^5

Step-by-step explanation:

1/( 2y^-5)

1/2 * 1/ y^-5

We know that 1/ a^-b = a ^ b

(1/2) y^5

Answer:

C). Nonrigid transformation.

F). Stretch

Step-by-step explanation:

Transformation in mathematics is defined as the alteration or variation in the shape of an object without altering the lengths by using a flip, turn, slide, or resizing.

The transformation 'Hexagon ABCDEF → hexagon A'B'C'D'E'F'' would best be described as the 'non-rigid' and 'stretch' transformation. Non-rigid because it alters the shape or size of the figure both vertically as well as horizontally. It would be considered a stretch transformation as it is resized by a pull from both the vertical and horizontal angles. Thus, options C and F are the correct answers.

Answer:

c and f

Step-by-step explanation:

Answer:

x=1/138

Step-by-step explanation: