Please look for the question in the picture.

Answer:

  quotient term: 6

  dividend term: 102

Step-by-step explanation:

[tex]\dfrac{782}{17}=\dfrac{680+102}{17}=\dfrac{680}{17}+\dfrac{\boxed{102}}{17}=40 +\boxed{6} = 46[/tex]

Answer:

16x7 = 112 (16 ounces, 7 hours) 112 ounces to pints = 7 pints of water

Step-by-step explanation:

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]

Answer:Mmm

Step-by-step explanation:

I am doing the work I will thell you the answer

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

Answer:

Below.

Step-by-step explanation:

(i) Speed of the bus = 270/6 = 45 km/hour.

(ii) In 9 hours it travels 45 * 9 = 405 km.

Answer:

7s.

Step-by-step explanation:

2s - s + 6s (Given)

Rembember that - s is the same as - 1s because there is an invisible 1.

So, 2s - 1s =  1s or s.

1s + 6s = 7s.

2s - s + 6s (Given)

7s (Combine like terms)

Answer:

<

Step-by-step explanation:

Good Question!

8/20=4/10=2/5=0.4

7/13= lcm of 5 and 13 is 75.

26/75 [<] 35/75

:)

Answer: < less than

Step-by-step explanation:

1. Find LCM of 20 and 13.

20: 20,40,60,80,100,120,140,160,180,200,220,240,260,280

13: 13, 26, 39, 52, 65, 78, 91, 104, 107, 110 ...... 234, 247, 260

The LCM is 260.

2. 20*13 = 260 13*20=260

therefore we need to multiply the numerator by those 13 and 20.

8*13 = 104 7*20 = 140

3. compare Fractions:

(104/260) < (140/260)

Answer:

3/7

Step-by-step explanation:

The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.

The domain and the range of the function describes the possible profit or

loss from the sale of popcorn and the number of popcorn units.

The correct responses are;

Reasons:

The question parameters are;

The price of a popcorn = $1.5

Number of popcorn he purchases = 150

Total profit made = $5.50

The number of containers sold = 25

Therefore;

C. Given that the number of containers sole is countable, the function will be discrete.

D. Cost of the containers = Revenue - Profit

Which gives;

Cost of the containers = 1.5 × 25 - 5.5 = 32

The given function is therefore;

y = 1.5·x - 32

E. The domain is the 150 containers which gives;

The domain = 0 ≤ x ≤ 150

F. When no popcorn is sold, we have;

x = 0, which gives;

y = 1.5 × 0 - 32 = -32

If he does not sell any popcorn, the loss is $32

G. If all the popcorn are sold, we have;

x = 150

Therefore;

y = 1.5 × 150 - 32 = 193

The profit if all the popcorn are sold = $193

H. The range of the function are the possible y values, which is the possible profit or loss, which gives;

The range = -32 ≤ y ≤ 193

Learn more about linear function here:

https://brainly.com/question/7043594

Answer:

Yes.

Step-by-step explanation:

Associative property of multiplication is:

(A×B)×C = A×(B×C).

It says that "The way of grouping of terms doesn't change the product."

So, given example (2×3)×4=2×(3×4) is an example of associative property of multiplication.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The sum of 8 and 1 is 9.

lol

Step-by-step explanation:

Answer:

$1650 is the answer hope it helps

Answer:

1.2

Step-by-step explanation:

First, you cancel out [tex]\frac{6}{20}[/tex] to become [tex]\frac{3}{10}[/tex]

Then that becomes [tex]-\frac{3}{10}+1.5[/tex]

Now, you convert the element to a decimal form to be [tex]-0.3+1.5[/tex]

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

Khalil uses the method of similar triangles to find the distance across the river, [tex]\overline{PR}[/tex]

Reasons:

The distances between the formed the sight-lines are;

[tex]\overline{RB}[/tex] = 185 feet

[tex]\overline{OC}[/tex] = 275 feet

The distance between the point close to the river and the next point further from the river [tex]\overline{RO}[/tex] = 150 feet

In triangles ΔPRB and ΔPOC, we have;

∠PRE = ∠POC = 90° Given

∠PER ≅ ∠PCO By corresponding angle formed between two parallel lines and a common transversal.

∴ ΔPRE is similar to ΔPOC by Angle-Angle, AA, similarity theorem

Which gives;

[tex]\displaystyle \frac{\overline {PR}}{\overline {PO}} = \mathbf{\frac{\overline {RE}}{\overline {OC}}}[/tex]

Let x represent the distance across the river, we have;

[tex]\overline{PR}[/tex] = x

[tex]\overline{PO}[/tex] = 150 + x

Which gives;

[tex]\displaystyle \frac{x}{150 + x} = \frac{185}{275}[/tex]

275·x = 185 × (150 + x) = 27,750 + 185·x

275·x - 185·x = 27,750

90·x = 27,750

[tex]\displaystyle x = \frac{27,750}{90} = \mathbf{308.\overline 3}[/tex]

Therefore, the distance across the river, x = [tex]\mathbf{\overline{PR}}[/tex] = [tex]\underline{308.\overline 3 \ feet}[/tex]

Learn more about similar triangles here

https://brainly.com/question/10703692

Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])

[tex]\frac{30-14}{2-1}[/tex]

[tex]\frac{16}{1}[/tex]

16

The values of ||-10v|| is 51.96 units

Given the complex number v = 6i + 3j,

10v is expressed as 10(6i + 3j)

10(6i + 3j) = 60i + 30j

Take the modulus of the complex number:

[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]

Hence the values of ||-10v|| is 51.96 units

Learn more on the complex numbers here: https://brainly.com/question/10662770

Answer:

x=5

Step-by-step explanation:

Answer:

  35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...

  2M +110 = 180

  2M = 70

  M = 35

The measure of angle M is 35°.

Answer: 7/12 miles

Step-by-step explanation:

20mph = 20/60 miles per minute = 1/3 miles per minute

1 min 45s = 1 min + 3/4 min = 7/4 min

1/3 x 7/4 = 7/12 miles

The distance travelled by car with the given speed and time is 7/12 miles.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, a car is traveling at 20 miles per hour during rush hour.

Time =1 minute and 45 seconds

= [tex]1\frac{45}{60}=1\frac{3}{4}[/tex]

= 7/4 minutes

Now, 20 miles per minute

= 20/60 miles per minute = 1/3 miles per minute

We know that, Distance =Speed×Time

= 1/3 ×7/4

= 7/12 miles

Therefore, distance travelled by car is 7/12 miles.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ2

Answer:

1231.50432021 cm³

Step-by-step explanation:

Use the formula:

[tex]\frac{1}{3} \pi r^{2} h[/tex]

And replace known values:

[tex]\frac{1}{3} \pi (7^{2})(24)[/tex]

Aaaand simplify:

[tex]\frac{1}{3}*1176 \pi[/tex]

Which gives approximately:

[tex]1231.50432021[/tex]

And don't forget to put the unit (cm³)!

Answer:

1230

Step-by-step explanation:

1/3*pi*7^2*24

1/3*pi*49*24

=1230

B. 1, 3, 9, 27

Geometric Sequence is being multiplied by factor of 3.

Answer:

[tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]

The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].

Step-by-step explanation:

I'm assuming the system is [tex]\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.[/tex]:

[tex]x^2+y^2=2[/tex]

[tex]x^2+(2x^2-3)^2=2[/tex]

[tex]x^2+(4x^4-12x^2+9)=2[/tex]

[tex]x^2+4x^4-12x^2+9=2[/tex]

[tex]4x^4-11x^2+9=2[/tex]

[tex]4x^4-11x^2+7=0[/tex]

[tex]x^4-11x^2+28=0[/tex]

[tex](x^2-7)(x^2-4)=0[/tex]

[tex](4x^2-7)(x^2-1)=0[/tex]

[tex]4x^2-7=0[/tex]

[tex]4x^2=7[/tex]

[tex]x^2=\frac{7}{4}[/tex]

[tex]x=\pm\sqrt{\frac{7}{4}}[/tex]

[tex]x^2-1=0[/tex]

[tex]x^2=1[/tex]

[tex]x=\pm1[/tex]

[tex]y=2x^2-3[/tex]

[tex]y=2(\pm\sqrt{\frac{7}{4}})^2-3[/tex]

[tex]y=2({\frac{7}{4}})-3[/tex]

[tex]y=\frac{7}{2}-3[/tex]

[tex]y=\frac{1}{2}[/tex]

[tex]y=2x^2-3[/tex]

[tex]y=2(\pm1)^2-3[/tex]

[tex]y=2(1)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Therefore, [tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]

The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].

Answer:

1. <  2. < 3. > 4. = 5. >

Step-by-step explanation:

Answer:

.6 miles

Step-by-step explanation:

Answer:

0.6 miles

Step-by-step explanation:

6 × t = 4 × (15 - t)

6t = 60 - 4t

6t + 4t = 60 - 4t + 4t

10t = 60

t = 6

6 × [tex]\frac{1}{10}[/tex] = 0.6