Roberto is going to the zoo! The entrance fee is $25 and each souvenir costs $3.75. He
has $40. Roberto thinks that this inequality could be use to find the number of souvenirs
he can purchase. Is he correct?
3.755 + 25 < 40
No the inequality symbol should be greater than or equal to
No it should be minus 25
No the letters should be next to the 25
yes this is correct

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

[tex] = - \frac{1}{7} [/tex]

Hello! :)

Parallel lines have the same slope.

If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.

Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:

[tex]7\\-7\\-\frac{1}{7}[/tex]

Hope it helps. Feel free to ask me if you have any questions.

~A determined teen

[tex]MagicalNature[/tex]

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90

Answer: wheres the attachment..

Step-by-step explanation:

Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

Answer:

P(A and B) = 0.12

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:

[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]

Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.

We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:

[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]

[tex]P(B\cap A)=0.2*0.6=0.12[/tex]

P(A and B) = 0.12

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

Answer:

5/-1

Step-by-step explanation:

The reciprocal is just flipping the fraction.

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

Answer: XY

Step-by-step explanation:

Answer:

is answer is 8,340

Step-by-step explanation:

add 280 and 415 and get 695

then multiply by 5 and get 3,475

then multiply 695 by 12 and get 8,340

Answer:

f(4) = 6

Step-by-step explanation:

When you have a function f(x) the number inside the parenthesis is the x value. In this case its 4. So the function value for f(4) is 6 because that is where the line is at x = 4

Answer:

[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]

B) is the right answer.

Answer:

B

Step-by-step explanation:

We want to solve the inequality:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]

First, we can add sec(x/3) to both sides:

[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]

Subtracting 4 from both sides yields:

[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]

And dividing both sides by 2 yields:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]

Therefore, we can graph the following two functions:

[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]

Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

[tex]B'=U-B[/tex]

[tex]B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}[/tex]

[tex]B'=\{b, c,f, g, h\}[/tex]

Therefore, only b, c, f, g, h are the elements of set B'.

Answer:

3x + y - 3

Step-by-step explanation:

Like Terms: In algebra, like terms are terms that have the same variables and powers.

To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used like terms :

(5x - 2x) + (3y - 2y)

(5x - 2x = 3x) + (3y - 2y = 1y or y)

3x + y

Then we add the - 3 at the end giving us:

3x + y - 3

Answer:

116

Step-by-step explanation:

13x-1 = 2(6x+4)

13x-1 = 12x+8

x=9

Answer:

J+22=X

Step-by-step explanation:

J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

Answer:

y= 81$

Step-by-step explanation:

$27 X 3= 81

Answer:

y = 9h

i don't know if this is what you were looking for or not

Step-by-step explanation:

Step-by-step explanation:

I think it might be enough to help you.

Answer:

f=-2

Step-by-step explanation:

2(5-6f)= 34

(5-6f)= 34/2

5-6f= 17

-6f=17-5

-6f=12

f=12/-6

f=-2

Step-by-step explanation:

2(5-6f)= 34

(2*5)-(2*6f)=24

10-12f=34

-12f=34-10

-12f=24

-f=24/12

-f=2

f=-2

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.

Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

13x+23.5

Step-by-step explanation: I dont know how to explain

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation: