3. Find the products.
a) (a? + 4) (a? – 4)​

Answer:

c

Step-by-step explanation:

bc

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

Step-by-step explanation:

B. Four less than a number.

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

Answer:

12285

Step-by-step explanation:

Answer:

1 5/8 pound.

Step-by-step explanation:

Convert 1/2 into 1/8's.

1/2 = 4/8.

We now have 1 4/8.

Subtract that from 3 1/8.

 3 1/8

- 1 4/8

-----------

 1 5/8

Your answer is 1 5/8 pound.

Hope this helps. Have a nice day.

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

Answer:

B

Step-by-step explanation:

is this answer

Answer:

w=8

Step-by-step explanation:

i took the k12 test

Answer:

A

Step-by-step explanation:

A is the answer, as you can see for every rise in 1 unit of x, there is an equivalent rise of 1 unit of y.

Answer:

1 1/2 tons per hour

Step-by-step explanation:

8 1/4 ÷ 5 1/2

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Answer:

she forgot to multiply the radius by 2 in the formula (B)

Step-by-step explanation:

i got it right :)

Answer:

B.

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

I don't really know but if you want help with math questions try this website called wolfram alpha. It's great

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer:

he is drive 6.4 hours ......

Answer:

45 litres

Step-by-step explanation:

Let the whole tank contains x litres of water.

Therefore,

[tex] \frac{2}{3} x = 80 \\ \\ x = 80 \times \frac{3}{2} \\ \\ x = 40 \times 3 \\ \\ x = 120 \\ \\ \frac{3}{8} x = \frac{3}{8} \times 120 \\ \\ = 3 \times 15 \\ \\ = 45 \: liters[/tex]

Answer: C

Step-by-step explanation: (x+2) 2+(y-1) 2=3

Answer: 1%

Step-by-step explanation:

Question is incomplete as it lacks the details of the withdrawal fee.

We shall assume one so that we can use it for calculation so that you can understand the methods.

Assume withdrawal fee of R50.

The withdrawal amount was R5,000 and the cost to withdraw was R50.

The percentage of the withdrawal fee in relation to the total amount is:

= Withdrawal amount / Total amount * 100%

= 50 / 5,000 * 100%

= 1%

Answer:

25

Step-by-step explanation:

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation:

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

Answer:

135

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle rule:

An exterior angle of a triangle is equal to the sum of its opposite interior angles

so x = the sum of its opposite interior angles (58 and 77)

58 + 77=135

so x = 135

Answer: x=135°

Step-by-step explanation:

Angles in a triangle always add up to 180° so to find the corner of the missing side next to x you need to do 58+77=135 then do 180-135=45°

So then, now we have the angle inside the triangle, we can now work out what x is.

Angles on a straight line always add up to 180° so you do 180-45=135° so x=135°.

Hope this helps :)

Answer:

A = 84.3

Step-by-step explanation:

Given the formula for the Pentagon:

1/4√5(5+2√5)a^2

The first step is to simplify the expression.

[tex]\frac{49\sqrt{25+10\sqrt{5}}}{4}[/tex]

The second step is to convert it to a decimal form.

84.30339262

The last step is to round 84.30339262.

84.3

I hope this helped!

Answer:

for second one

2.01m² is your answer

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

Answer:

33 students

Step-by-step explanation:

ratio = 6 : 5

if there are 3 more girl that boy

ratio 1 equal 3.

total ratio

6 + 5 = 11

total number of students

11 × 3 = 33

Answer:

Step-by-step explanation:

Answer:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]

Step-by-step explanation:

Answer:

y=5x-6

Step-by-step explanation:

Use form y= mx + b where m is the slope and b is the y intercept