Jason is baking a cake. The recipe calls for 2 cups of sugar for every 5 cups of flour. If he is making a small cake and is only using 1 cup sugar, how many cups of flour should he use? *

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

Answer:

y=4

Step-by-step explanation:

-28 divided by -7 equals to 4

Hope this helps!!

Answer: y = 4

Step-by-step explanation:

-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.

Answer:

Question 7: Company A has a lower rate

Question 8: Caiden's vehicle gets more miles per gallon

Step-by-step explanation:

Question 7:

According to the table for Company B's rates, if you divide the total cost by the square footage in each row, you would get $2.75/ft² each time. Therefore, Company A would charge the Smiths a lower cost per square foot.

$2.25/ft² < $2.75/ft²

Company A < Company B

Question 8:

Using the given equation, we already know that Caiden's vehicle has a gas mileage of 16.2 miles/gallon The graph for Ethan's gas mileage can be figured out using slope. Taking the points (0, 0) and (2, 30) on the line, we can figure out the line's slope.

slope = rise/run,

where "rise" is how much you add or subtract to get from the first y-value to the second, and "run" is how much you add or subtract to get from the first x-value to the second.

slope = rise/run

slope = 30/2

slope = 15/1

The slope of the line is 15, so that means the line's equation is y = 15x. Therefore, Ethan's gas mileage is 15 miles/gallon.

16.2 mpg > 15 mpg

Caiden > Ethan

Answer:

d

Step-by-step explanation:

because it's the same number

The absolute value of the number 0.75 is 0.75 .

Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.

Absolute value of a positive number is that same positive value. Distance of a positive number from zero is that positive number.

So absolute value of 0.75;

|0.75| = 0.75

Therefore, the absolute value of the number 0.75 is 0.75 .

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Answer:

hello~ is this how im sopoused to talk~

Step-by-step explanation:

good bye~

Answer:

Imma be truthful here

Hotest boy: Bakugo

Cutest boy: Deku (everyone can relate) and Mineta

Toughest boy: Todoroki (hes mentally still stable after all that trauma-)

Craziest boy: Shigakari

Most Annoying Boy: Twice

Now imma talk about the mineta thing

Mineta would be the perfect little guy in the series if he wasnt a perv. He's super smart, but lets his single pringle self get in the way. So really he is cute when hes not being a perv.

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

Answer:

Triangle ABC and triangle EDF

The similar triangles are Δ ABC ~ Δ EDF ~ Δ GHI, both the triangles are similar to Δ ABC.

Triangles are similar when their corresponding sides are equal ratios and their corresponding angles are congruent.

Given are triangles, Δ ABC, Δ EDF and Δ GHI,

Since, in Δ ABC and Δ EDF, two angles are shown congruent therefore, both are similar.

Also,

In Δ GHI,

∠ G + ∠ I = 129°

∠ H = 180° - 129°

∠ H = 43°

Since, we get, two angles congruent in both triangles Δ EDF and Δ GHI

Therefore, both the triangles Δ EDF and Δ GHI are similar,

Now,

Since, Δ ABC ~ Δ EDF and Δ EDF ~ Δ GHI,

Therefore, Δ ABC ~ Δ EDF ~ Δ GHI,

Hence, the correct option is "Both"

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Answer:

1. 5b-3

2. 6-b

3. 7-5b

4. 6+4b

Answer:

fwufuhwwhfwfweofwefwef

Step-by-step explanation:

The input value that gives an output of 19 is not listed in the answer choices. None of the options are correct.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
We can start by setting up the equation:

2x² + 3x + 5 = 19

Subtracting 19 from both sides:

2x² + 3x - 14 = 0

(2x - 7)(x + 2) = 0

Using the zero product property, we can solve for x:

2x - 7 = 0 or x + 2 = 0

2x = 7 or x = -2

x = 7/2 or x = -2

Therefore, the input value could be either 7/2 or -2.

The answer choices do not include 7/2, but we can check both input values to see which one gives an output of 19:

f(7/2) = 2(7/2)^²+ 3(7/2) + 5 = 19.25

f(-2) = 2(-2)² + 3(-2) + 5 = 3

Thus, the input value that gives an output of 19 is not listed in the answer choices.

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Answer:

Order the data from least to greatest.

Find the median.

Calculate the median of both the lower and upper half of the data.

Ask me if you need more help!

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

Answer:

43.6

Rounded to the nearest 0.1 or

the Tenths Place.

Answer:

42 people are wearing sunscreen

Step-by-step explanation:

Step one:

given data

We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.

i.e 7:5

number of people not wearing sunscreen is 30

let us use part to part method to solve this problem

let the number of people wearing sunscreen be x

so,

7/5= x/30

cross multiply we have

5x=210

divide both sides by 5

x= 210/5

x=42 people are wearing sunscreen

Answer:

I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)

Answer:

3,400

Step-by-step explanation:

Answer: 10.5882353 I think I DO NOT PROMISE THIS IS RIGHT

Step-by-step explanation:

Answer:

it would be 19/15k

Step-by-step explanation:

Answer:

Hi! I think it's 15/8t and 19/15k

Answer:

1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else

Answer:

A) 29.0 mpg

you divide 471 by 16.25

Answer:

Step-by-step explanation:

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = - 4x + 3    ⇒   m₁ = -4    ⇒    m₂ = -4

The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = -4

(2, -3)   ⇒   x₁ = 2,  y₁ = -3

point-slope form:

y - (-3) = -4(x - 2)

y + 3 = -4x + 8             {subtact 3 from both sides}

y = -4x + 5        ←    slope-intercept form

Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Answer:

The factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Step-by-step explanation:

Consider the provided information.

[tex]c^2-49[/tex]

Use the formula of the difference of the square in order to factorize the given expression: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]c^2-49=c^2 - 7^2[/tex]

[tex]c^2-49=(c - 7)(c+7)[/tex]

Hence, the factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Answer:

-8/10, -3/16, 3/16

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

-x^2+x is the same as x-x^2.

Only difference is the way it's written.

Answer:

its B

Step-by-step explanation:

Answer:

y = -1/4x + -6

Step-by-step explanation:

Answer:

292.4

Step-by-step explanation:

Answer:

292.4

Step-by-step explanation:

Use the mean formula: sum of elements / number of elements

Plug in the numbers:

(300 + 222 + 285 + 310 + 345) / 5

1462 / 5

= 292.4

So, the mean is 292.4

Answer:

-55 = b

Step-by-step explanation:

If you fill in the x and the y with the equation you have below, you would get:

-4 = 17(3)+b

Multiply 17 and 3

-4 = 51 + b

-55 = b

Answer:

y=17x-55

Step-by-step explanation:

4 = 17(3)+b

-4 = 51 + b Subtract 51 both sides

-55 = b

Hope this helps :)

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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Answer A. 3 mph

A. 3 mph