Write the expression – 5x(4 + 3x) using words.

the sum of negative five times a number and four minus three times the number

the product of negative five times a number and the quantity four plus three times the number

the product of three times a number plus the quantity four and five times the number

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

[tex]a+b+c=180[/tex]

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]

Finally the second number is 4 less than the mean:

[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]

Now we have our set of equations and we can proceed to solve them:

[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]

Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:

[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]

Now taking this last result into our first equation we have:

[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]

Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]

[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]

But we know that a =70, so we can substitute it in our last line:

[tex]124=a+c\\124=70+c\\54=c[/tex]

Now we just need to find b and we can use our first original equation to do this:

[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]

Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.

[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]

Therefore:

[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

Step-by-step explanation:

We're going to convert all of these to km/h.

Sapons: 80km/2h => 40kmh

Silvers: 180km/3h => 60kmh

Johns: 50kmh

Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh

Now that they're all in the same form we can put them from least to greatest.

Answer:

(Least) - Sapons

- Johns

-Silvers

(Greatest) - Cunninghams

Answer:

612

Step-by-step explanation:

9 x 68 = 612

Answer:

Step-by-step explanation:

Assuming the price of 1 pizza is $x. Total number of pizzas is 3.

Considering the first deal,

10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x

The cost of the remaining two pizzas is 2 × x = 2x

The total amount to be paid is

2x + 0.9x = $2.9x

Considering the second deal, 30% off the bill would be

30/100 × 3x = 0.9x

The amount to be paid is

3x - 0.9x = $2.1x

Therefore, I prefer the second deal

Answer:

i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]

Answer:

See explanation

Step-by-step explanation:

[tex]2b^2-5b+2=0[/tex]

[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]

Hope this helps!

Answer:

1099 inches

Step-by-step explanation:

We know that formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi 5^2*14[/tex]

[tex]V=\pi 25*14[/tex]

[tex]V=\pi 350[/tex]

[tex]V=3.14*350[/tex]

[tex]V=1099[/tex]

Answer:

1099

Step-by-step explanation:

Answer:

HAT       AM

HAM

MAT

AT

Step-by-step explanation:

(if you can repeat the letters)

THAT

hopefully this helps and i didnt miss any words

Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

Answer:

it is true

Step-by-step explanation:

because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.

hope this help :-)

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

Answer:

.00604

Step-by-step explanation:

when multiplying by a negative exponent move the decimal to the left

10^-3 move the decimal 3 spaces to left

.00604

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

Answer:

Can’t really understand your question!!

Answer: The correct answer is A

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

You need to take 30%of 40 to figure it out.

Hope this helps.

Answer:

(a) 300

(b)100

Step-by-step explanation:

(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300

(b) DuBois=3*100=300

Polk=4*100=400

400-300=100

Answer:

infinitely many solutions

Step-by-step explanation:

Reduce the second equation by dividing all three terms by 3:  y + 1 = 2x.  Then compare this result to the first equation 2x - y = 1.  Noe that these two equations are identical.  Thus, the two lines coincide.  There are "infinitely many solutions."

Answer:

-tan 20

Step-by-step explanation:

They have the same answer when typed in a calculator

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

Answer:

Rational

Step-by-step explanation:

Answer:

2) Only solar because u are near the moon lool

3) i think the same

1-4)There is, however, one side of the moon that never faces Earth head-on. The moon completes a full, 360-degree orbit around our planet every 27.32 days . That's about as long as it takes the moon to finish a single rotation on its own axis. Taken together, those two factors explain why only one side of the moon is ever oriented toward us and about 41 percent of the lunar surface is never visible to Earth-bound stargazer.

Eevery lunar day lasts for 29.5 Earth day

Answer:

the center is (-2,2) and the radius is 5

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:

[tex]x^2+4x+y^2-4y=17[/tex]

Now, you can begin to complete the square with both the x and the y:

[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]

Adding 8 to both sides and finishing the squares:

[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]

The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!

Answer:

3 1/3 batches

Step-by-step explanation:

you can divide 1/4 and 5/6 to find how many in each batch.

Answer:

I think they are the range, the interquartile range. Tell me if if wrong!

Step-by-step explanation: