At dinner, the number of quarts of water the restaurant sells is 36 fewer than twice as many as it sells at lunch. The restaurant sells 144 quarts of water at lunch and dinner combined. How many quarts of water does the restaurant sell at lunch?

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

89x = 89 * x

16x = 2 * 2 * 2 * 2 * x

-30x = -1 * 2 * 5 * 3 * x

x is the only factor that is common in all three.

GCF = x

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer

Answer:

48 days

Step-by-step explanation:

Swim = every 6 days

Run = every 4 days

Cycles = every 16 days

Find the lowest common multiple of 6, 4 and 16

6 = 6, 12, 18, 24, 30, 36, 42, and 48

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

The LCM of 6, 4 and 16 is 48

Therefore,

If she did all 3 activities today, she will do all 3 activities again in the next 48 days

Answer:

Whole numbers are ALWAYS integers.

Answer:

- 1.4

Step-by-step explanation:

The average rate of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 1 ] , then

g(b) = g(1) = - 3 ( value of g(t) when t = 1 ]

g(a) = g(- 4) = 4 ( value of g(t) when t = - 4 )

average rate of change = [tex]\frac{-3-4}{1-(-4)}[/tex] = [tex]\frac{-7}{5}[/tex] = - 1.4

Answer:

The answer is A :)

Step-by-step explanation:

Answer:

A whole number is even if and only if it is evenly divisible by 2

Step-by-step explanation:

BRAINLY

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Answer:

A whole number is even if and only if it is evenly divisible by 2

Step-by-step explanation:

1.  The first statement is false because product of two negative integers is positive.

Ex:

(- 2) × (- 3) = 6

2.  The second statement is false because there are whole numbers which are divisible by 2 but not divisible by 4.

Ex:

6 is divisible by 2 but not divisible by 4

3.  The fourth statement is false because if a whole number is divisible by 2, then, by definition, it must be an even number.

Ex:

6 is divisible by 2 and hence it is an even number

4.  The third statement is true because if a whole number is divisible by 2, then, by definition, it must be an even number.

Ex:

6 is divisible by 2 and hence it is an even number

Answer:

5

Step-by-step explanation:

You divide the change in the output value by the change in the input value.

  Input: 0 |  4

Output: 1  |  21

20/4= 5

Answer:

DE = 11

Step-by-step explanation:

DE = x + 7

EF = 7

DF = 4x + 2

DF = DE + EF (segment addition postulate)

Substitute

4x + 2 = x + 7 + 7

4x + 2 = x + 14

Collect like terms

4x - x = -2 + 14

3x = 12

Divide both sides by 3

x = 12/3

x = 4

✔️DE = x + 7

Plug in the value of x

DE = 4 + 7

DE = 11

Answer:

linear i think

Step-by-step explanation:

exponential

Step-by-step explanation:

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P=  £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the  worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5

Answer:

175 + 30h

Step-by-step explanation:

Hope this helps

Answer:

total cost = 175+30h

Step-by-step explanation:

Total cost = fixed cost + cost per hour * hours

total cost = 175+30h  where h is the number of hours

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Answer:

[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]

Step-by-step explanation:

we are given two conditions

let the two integers be x and y respectively according to the first condition

[tex] \displaystyle xy = - 12[/tex]

according to the second condition:

[tex] \displaystyle x + y = 1[/tex]

now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:

[tex] \displaystyle y = 1 - x[/tex]

now substitute the got value of y to the first equation which yields:

[tex] \displaystyle x(1 - x) = - 12[/tex]

distribute:

[tex] \displaystyle x- {x}^{2} = - 12[/tex]

add 12 in both sides:

[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]

rearrange it to standard form:

[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]

divide both sides by -1:

[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]

factor:

[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]

by Zero product property we acquire:

[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]

solve the equations for x therefore,

[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]

when x is -3 then y is

[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]

simplify

[tex] \displaystyle y _{1}= 4[/tex]

when x is 4 y is

[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]

simplify:

[tex] \displaystyle y _{2}= - 3[/tex]

hence,

[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]

Answer:

11. B.

12. C.

13. A.

14. D.

Step-by-step explanation:

for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them

for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.

for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.

for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.

Answer:

29.5cm^2

Step-by-step explanation:

3 × 4 = 12

4 × 2.5 = 10

3 × 2.5 = 7.5

12+10+7.5=29.5

Answer:

Step-by-step explanation:

[tex]Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}[/tex]

x * 0.7771 = 7

[tex]x =\frac{7}{0.7771}=9.007[/tex]

x = 9

Answer: x = 60

Step-by-step explanation:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.

2x + 5 + x - 5 = 180

3x = 180

3x : 3 = 180 : 3

x = 60

Answer:

Se necesitarían 5 días para talar 1625 árboles a este ritmo

Step-by-step explanation:

1625 dividido por 325 iguales 5, así que otra forma de averiguar esto es multiplicar 325 por 5, 325 Multiplicado por 5 iguales 1625.

Answer:

330 television set

Step-by-step explanation:

Last month production = 880 television sets

This month production = 1,210 television sets

The increase in production from last month to this month = This month production - Last month production

= 1,210 - 880

= 330

The increase in production from last month to this month = 330 television set

As per linear equation, the increase in production of television of the factory is 330.

A linear equation is an equation where the variable has the highest power of 1.

Given, a factory produced 880 television sets last month.

This month, the same factory produced 1,210 television sets.

Therefore, the increase in production of television of the factory is

[tex]= (1210-880)\\= 330[/tex]

Learn more about a linear equation here: https://brainly.com/question/11203335

#SPJ2

Answer:

x = (4,0)

y = (0,5)

Step-by-step explanation:

5x + 4y = 20

5(0) + 4y = 20

(4y ÷ 4) = (20 ÷ 4)

y = 5

5x + 4(0) = 20

(5x ÷ 5) = (20 ÷ 5)

x = 4

x = (4,0)

y = (0,5)

Answer:

Scale factor is 1/2. and, Area of PST = 20cm^2

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

we get in the diagram below, RQ is parallel to ST.

ST =4cm

RP =10cm

PT = 5cm

Now, PRQ is larger than PTS

i.e. the scale factor = 5/10

                                =1/2

And, |RQ|= ST*2

               =4*2

               =8

Now, area of PRQ =80cm^2

so, area of PST = 80*1/2^2

                          =80*1/4

                          =20cm^2

Hence, Scale factor is 1/2., Area of PST = 20cm^2.

To learn more on triangle click:

brainly.com/question/29126067

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Answer:

[tex]{ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}[/tex]

When a pair of parallel lines is intersected by a transversal, then

Corresponding angles are equal.

∠2 and ∠6 are corresponding angles.

So, m∠2 = m∠6

=> m∠2 = 123.5°

We know that linear pair of angles are supplementary (180°).

∠1 and ∠2 are linear pair of angles.

So, m∠1 + m∠2 = 180°

=> m∠1 + 123.5° = 180°

=> m∠1 = 180° - 123.5°

=> m∠1 = 56.5°

Answer:

C. 31 trees

Step-by-step explanation:

Add up all the frequencies: 3+3+8+10+5+2=31

Hope this helps!!!

Answer:

It's C. 31 trees

Step-by-step explanation:

That's about all I can say

Answer:

she would need annual breast cancer screening with mammograms.

Step-by-step explanation:

hope this helps! hope you have a nice day.

Answer:

8

Step-by-step explanation:

[tex] \frac{23}{2} = 11.5[/tex]

[tex]92 \div 11.5 = 8[/tex]

Answer:

200

Step-by-step explanation:

250/100=2.5

2.5*80=200

So the answer is 200

Answer:

in picture

Step-by-step explanation:

Brainliest please

Answer:

this is the best way for the question

Step-by-step explanation:Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Answer:

12 cm

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that the area of square is ,

> a² = 81 cm²

> a = √81 cm²

> a = ±9 cm

> a = 9cm ( -ve not possible )

Therefore perimeter ,

> P = 4a

> P = 4 * 9cm

> P = 36 cm .

We know all sides of ∆ are equal. therefore ,

> a + a + a = 36cm

> 3a = 36cm

> a = 36 cm/3

> a = 12cm