The total cost of attending a basketball game includes the price of a ticket (parking included). An individual ticket costs $12.

A directed line segment on a gridded map shows the path of a hot air balloon from 1(0,0) to B(8,4). Each grid unit represents 1

aivan3 [116]

Answer:

Step-by-step explanation:

There is a point V with ration 6 to 2, therefore we must find the coordinates of point V and the distance from A to V

<u>According to the graph</u>

$c^{2}=x^{2}+y^{2}\\c^{2}=8^{2}+4^{2}\\c=\sqrt{64+16}=8.9.4\\sin\alpha =\frac{4}{8.94}$

α≅27°

V=2*8.94/6 (ratio 6:2)

V=2.98mile

$sin27=\frac{y}{2.98}\\y=sin27*2.98=1.35\\cos27=\frac{x}{2.98}\\x=cos27*2.98=2.65$

coordinates of V = (2,65;1.35)

Distance from A to V

$d_{AV}=2.98 miles$

finally

Mary's mistake is to take the 6 to 2 ratio as the distance traveled from the globe only in the x direction

8 0

2 years ago

Find a point-slope form for the line that satisfies the stated conditions.

san4es73 [151]

Y-6=7(x-3)
The point-slope intercept form of a line that has a slope of 7 and passes through the point (-6,3) is y - 6 = 7 (x - 3)

3 0

3 years ago

1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a

lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : $2.5x+4y\leq 60$

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

$2.5(10)+4(2)\leq 60$

$25+8\leq 60$

$33\leq 60$

Hence it is correct.

Option b : 20 bags of chips and 2 jars of salsa

so, x = 20 and y =2

Putting values in inequality

$2.5(20)+4(2)\leq 60$

$50+8\leq 60$

$58\leq 60$

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

$2.5(14)+4(5)\leq 60$

$35+20\leq 60$

$55\leq 60$

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

$2.5(18)+4(6)\leq 60$

$45+24\leq 60$

$69\geq 60$

Hence it is not correct since it violates the inequality

4 0

3 years ago

Read 2 more answers

What is the answer of this problem -7/3(3x-2)=-21 ?

weeeeeb [17]

Answer:

= 11/3

Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

-7 (3x-2) = -21

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

3

2. DISTRIBUTE

-7( 3x- 2) ➗ 3 =-21

3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

3 ( -21x + 14) ➗ 3 (-21)

5. MULIPLY THE NUMBERS

-21x + 14 = 3(-21)

6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

-21x + 14 = -63

7. SIMPLIFY

-21x = - 77

8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

-21x/-21 = -77/-21

9. SIMPLIFY

x = 11/3

3 0

3 years ago

Which number sentence is true? O A) 2.3 x 102 > 2000 OB) 3.45 > 1-4.35| OC) 345 > 5:33 825 OD 13

OLEGan [10]

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

The square root of 10 is 3.16227766.

The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

7 0

2 years ago