An ice cream factory makes 375 quarts of ice cream in five hours.
How many quarts could be made in 15 hours

Answer:

2 and 4

Step-by-step explanation:

Step-by-step explanation:

an= a1+(n-1)d

a1= 31

n= 4

d=7 (pattern; it subtracts 7)

[tex]a_{n}=31+(n-1)7[/tex]

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{5y - 2}{4(y + 2)} = \dfrac{1}{3}[/tex]

[tex]\sf \leadsto \dfrac{5y - 2}{4y + 8} = \dfrac{1}{3}[/tex]

[tex]\sf \leadsto 3(5y - 2) = 1(4y + 8)[/tex]

[tex]\sf \leadsto 15y - 6 = 4y + 8[/tex]

[tex]\sf \leadsto 15y - 4y = 8 + 6[/tex]

[tex]\sf \leadsto 11y = 14[/tex]

[tex]\sf \leadsto y = \dfrac{14}{11}[/tex]

Answer:y=14/11

Step-by-step explanation:

Answer:

6-10 equals -3

Step-by-step explanation:

The expression that can be formed by the given sentence is 8x² - 5.

So, for the expression as follows:

Eight and a number squared decreased by 5 can be:

Now, let the number be 'x'.

Hence, the expression we obtain is:

Therefore, the expression that can be formed by the given sentence is 8x² - 5.

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Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

6x + 2y = 28 ( subtract 6x from both sides )

2y = - 6x + 28 ( divide the terms by 2 )

y = - 3x + 14 ← in slope- intercept form

Answer:

y= -3x + 14

Explanation:

6x + 2y=28

2y= -6x +28

Therefore, y= -3x +14

Answer:

k= 4

Step-by-step explanation:

g(x) is the units higher than f(x) which means k=4

Answer:

18

Step-by-step explanation:

70^2 = 4900 < 5607 < 6400 = 80^2

so sqrt(5607) is a two-digit number with tenth-digit 7

71^2 = 5041, 72^2 = 5184, 73^2 = 5329, 74^2 = 5476, 75^2 = 5625

so the smallest square bigger than 5607 is 75^2, which is 5625

so the number should ne 5625 - 5607 = 18

Answer:

X = 20

Step-by-step explanation:

Hope this helps! If you need the explanation, let me know. Pls give brainliest!

Answer:

[tex]{20}^{o} [/tex]

Step-by-step explanation:

hint alternate angles are equal,

the angle portrayed in the diagram are alternate angles ,ie equal,

for an equation equating the two angles then solve for x

ie,

[tex]3x = 2x + 20 \\ 3x - 2x = 20 \\ x = 20[/tex]

Given : Solve 7/5 = x/3

Solution :

Henceforth, the answer is 4.2

Hey there!

• Original problem/equation

28 * 0.64

= 17.92

• Estimated to the nearest tens & tenths

= 30 * 0.60

= 18

The best estimation for the original equation is: 18 but we rounded to find the answer with tens & tenths place

Out of your answer choices that you have provided we can say “Option C. 21” could possibly be your answer

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x [tex]\leq[/tex] 3

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{1}{4}[/tex]

the first step is to subtract [tex]\frac{1}{2}[/tex] from both sides of the equation.

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{1}{4}[/tex]

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

----------------

-[tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{3}{4}[/tex]

then, divide both sides of the equation by - [tex]\frac{1}{4}[/tex].

x [tex]\leq[/tex] 3

(since we divided both sides by a negative number, to isolate x, the [tex]\geq[/tex] changed to [tex]\leq[/tex].)

Answer:

1/2 - 1/4x ≥ -1/4

multiply both sides by the l.c.m of the both sides(4)

4(1/2 - 1/4x )≥ -1/4 ×4

2 - x ≥ -1

Collect the like terms

-x ≥ -3

Divide both sides by -1

x ≤ 3(when you divide by a negative number the equality changes)

Answer:

C, 10^3

Step-by-step explanation:

To get from 22 to 22000, you need to times by 1000. The power in this case represents the amount of zeros added to a number. Hope this helped!

10³ multiply 22 by to get an answer of 22,000.

The correct option is (D)

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

We have to multiply 22 such that it gives 22, 000.

let the number that being multiplied be x.

So, 22x = 22000

x= 22000/22

x= 1000

x= 10³

Hence, 10³ multiply 22 by to get an answer of 22,000.

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Answer:

827.5( to four significant figures)

Answer:

the answer is 4(x+6) because you have to add 6 to x and then multiply by 4

Answer:

see explanation

Step-by-step explanation:

let the two consecutive odd numbers be n and n + 2 , then

n + n + 2 = 148 , collect like terms

2n + 2 = 148 ( subtract 2 from both sides )

2n = 146 ( divide both sides by 2 )

n = 73

n + 2 = 73 + 2 = 75

The 2 numbers are 73 and 75

----------------------------------------------------------------

let width be w then length = 2w - 6

The perimeter (P) is calculated as

P = 2(width + length) , then

2(w + 2w - 6) = 54 ( divide both sides by 2 )

w + 2w - 6 = 27 , collect like terms

3w - 6 = 27 ( add 6 to both sides )

3w = 33 ( divide both sides by 3 )

w = 11

2w - 6 = 2(11) - 6 = 22 - 6 = 16

length = 16 in and width = 11 in

Hello,

Answer: 73,75

Step-by-step explanation:

1st Question Answer

x -> 1st

x+2 -> 2nd

So... Since it is equal to 148 then we write...

x+x+2=148

Combine Like Terms

2x+2=148

Subtract 2 from both sides

2x=146

Divide 2 to both sides

x=73 and +2 = 75

In Final: The two consecutive odd integers are 73 and 75

2nd question)

Width of rectangle is x inches

2x-6

Since perimeter = 2(length+witdth)

54 = 2(2W - 6) + 2W,  (substitute P = 54 and L = 2W - 6)

66=6w

w=11

To find the length: Substitute

54=2l+2(11)

32=2L

L=16

Answer:

-4 1/2

Step-by-step explanation:

Answer:

To find the inverse, interchange the variables and solve for

y

.

f

−

1

(

m

)

=

m

x

−

b

x

Step-by-step explanation:

the answer is b. y-5=1/2(x+3)^2

9514 1404 393

Answer:

  B.  y -5 = (1/2)(x +3)^2

Step-by-step explanation:

The parent function f(x) = x^2 has been shifted left 3 and up 5, and scaled vertically. The translation of the vertex to (h, k) can be modeled by ...

  y -k = a(x -h)^2

For (h, k) = (-3, 5), the form of the answer will be ...

  y -5 = a(x +3)^2

Only one answer choice has that form.

_____

Additional comment

The coefficient 'a' will be positive when the parabola opens upward. This eliminates choices A and C. Choice D represents a translation of 3 units right and 5 units down—directions opposite of those shown on this graph.

Answer:

A= 5

B= 33

C is ( every two squares on the graph equals one pupil.

Step-by-step explanation:

Answer:

A)5

B)33 students

C)Not many students scored highly on the test. Only about 15% got a 90 or above.

Answer:

three hundred forty-six point seven hundred twenty five. Or three hundred forty-five and three hundred forty-five thousandths

Step-by-step explanation:

Answer:

f. 260 in by 100 in

Step-by-step explanation:

13 + 5 = 18

720/18 = 40

Find length:

40*13 = 520

520/2 = 260 <-- must divide by 2, 520 is the sum of twice the length

Find width:

40*5 = 200

200/2 = 100 <-- must divide by 2, 200 is the sum of twice the width

Answer:neither, neither, perpendicular , neither

parallel

Step-by-step explanation:put each line in the form y=mx+b

if m=m they are parallel

if m times m = -1 they are perpendicular

if the m’s are unrelated than neither

Answer: what question

Step-by-step explanation:

the answer is the second one

-7

here is with the equation hope this helps

Answer:

108/125

Step-by-step explanation:

Answer:

The answer would be 108/125