Five times the difference of a number and two is seven more than that number

An automobile dealer has several options available for each of three different packages of a particular model car: a choice of t

AlexFokin [52]

Answer:

60 ways

Step-by-step explanation:

Given that an automobile dealer has several options available for each of three different packages of a particular model car: a choice of two styles of seats in three different colors, a choice of four different radios, and five different exteriors.

No of exteriors = 5

No of radios = 4

Number of styles of colours = 3

Thus he can select exterior any one of the five or in 5 ways

Similarly he can select radio in 4 ways and

Number of styles of colours in 3 ways

Choices of automobile a customer has

= product of these three

= $5*4*3 = 60$

8 0

3 years ago

3 times the difference between 37.5 and 24.5

Ugo [173]

3(37.5-24.5) is the equation and the answer would be 39

4 0

4 years ago

georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths

Maslowich

The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,

<h3>What is a scale factor?</h3>

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

We have:

Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.

The length DC = 12 inches

DC/UT = 4/1

12/UT = 4/1

UT = 12/4 = 3 inches

Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ1

4 0

2 years ago

Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

5 0

2 years ago

I have two fair dice, each numbered 1 to 6. I add the two numbers together. What is the probability that I get a total of 5

Lostsunrise [7]

Answer:

Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.

Step-by-step explanation:

For the odds of these two numbers coming up at the same time, you multiply the odds of one times the odds of the other. 5/6 × 1/6 = 5/36. So the odds that you'll roll 2 dice total six are 5/36 each time you roll ( or approximately 1 chance in 7).

5 0

4 years ago