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3 years ago

Lynne used 3/8 cup of flour and 1/3 cup of sugar in a recipe.what number is a common denominator for3/8 and 1/3

Mathematics

2 answers:

Liula [17]3 years ago

7 0

Ahiffggggggggggggt was the morning I was going over the

leva [86]3 years ago

6 0

Answer:

8 x 3 = 24

Step-by-step explanation:

8 x 3 = 24 which is the common denominator

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Given the polynomial expression 3x^2 + 3bx - 6x - 6b, factor completely.

My name is Ann [436]

The answer is 3 (x+b) (x-2)

Yw! :)

3 0

2 years ago

6) find HJ<br> 8)find IK

Anastasy [175]

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

4 0

3 years ago

While on a road trip, Steve drove 300 miles in 5 hours. After stopping for gas, he drove an additional 120 miles in 2 hours. Doe

lawyer [7]

Answer:

B. Yes, this is direct variation. Time is the independent variable, and miles driven is the dependent variable.

Step-by-step explanation:

In a direct variation, when the independent variable increase the dependent variable also increases. In this case, the independent variable is the time (time is always independent) and the miles driven by Steve is the dependent variable. This means, the miles driven increase as time pass.

3 0

3 years ago

An oven heating element turns on when the internal temperature falls to 20 degrees below the set temperature and turns off when

son4ous [18]

Answer:

The range of the oven is $385\leq T\leq 410$

Step-by-step explanation:

Consider the provided information.

The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.

You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.

The internal temperature falls to 20 degrees, therefore the lowest set can be:

405-20=385 degree.

The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.

Hence, the temperature will be lying between 385 degree and 410 degree.

This can be written as: $385\leq T\leq 410$

Hence, the range of the oven is $385\leq T\leq 410$

4 0

3 years ago

One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has

Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = $2x-6$

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

$108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0$

Now we will find the roots of x by factorizing the equation we get;

$x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0$

Now we will solve for 2 values of x we get;

$x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft$

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = $2x-6=2\times12-6 =24-6 =18\ ft$

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0

3 years ago