Answer:
118.8 kmStep-by-step explanation:
Given
The scale 1 cm : 6.6 kmTo find
18 cmSolution
1 cm ⇔ 6.6 km1*18 cm ⇔ 6.6*18 km 18 cm ⇔ 118.8 kmSeven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?
Answer: 7p = $14.49
Step-by-step explanation: BRAINLIEST MEEE
Henry wants to buy the same number of gift bags and bows. Gift bags are sold in packs of 6. Bows are sold in packs of 9. What is the least number of gift bags and bows that George can buy?
Answer:
Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.
Step-by-step explanation:
Least Common Multiple (LCM)
Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.
Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.
Gift bags are sold in packs of 6. Bows are sold in packs of 9.
List the prime factors of 6: 2,3
List the prime factors of 9: 3,3
Multiply: 2*3*3=18
The LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.
A local pizza restaurant offers a gold card for loyal customers. The gold card costs $25 for a year. With a gold card, each large pizza is a discounted cost of $12. If customers don’t have a gold card, a large pizza costs $18. How many pizzas must you purchase in a year for the gold card to be cheaper?
Answer:
5 pizzas
Step-by-step explanation:
18-12=6 each pizza with card saves 6$
$25 card cost÷$6 savings per pizza=4.16 pizza to break even. round up since cant buy fraction of pizza.
check
5 pizza with card 12 *5=60
60 + 25 = 85 spent in total
$5 *$18 = $90, no discount
4 pizza would be 73 with discount and 72 without
Given the function f(x) = 3x-7, which of the following represents f -1(x)?
-3x+7
Step-by-step explanation:
The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.
f -1(x)= -1(3x-7)
f -1(x)= -3x+7
If you can walk 5.3 miles in 3.2 hours, how many minutes does it take to walk 1.74 miles?
Answer:
Let x be the number of hours for 1.74 miles
5.3 miles 3.2 hours
1.74 miles x
When you cross multiply the above numbers you get the equation:
5.3x = 5.568
x = 5.568/5.3
x = 1.05
Therefore it takes 1.05 hours to walk 1.74 miles.
Given: △ABC, m∠A=60°
m∠C=45°, AB = 9
Find: Perimeter of △ABC
Area of △ABC
Please don't use trig
Answer:
Perimeter of ΔABC =32.31 units
Area of the triangle ABC = 47.81 sq. unit
Step-by-step explanation:
In triangle ABC
[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]
Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°
[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]
Now we are supposed to find the perimeter and the area of the ΔABC
We will use the sine rule to find the lengths of sides BC and AC
Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]
[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]
[tex]AC \times sin(45) = 9 \times sin(75)[/tex]
AC = 12.29
Perimeter of ΔABC = AB + BC + AC
Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units
Area by using the sine rule:
Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]
Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]
Area of the triangle ABC = 47.81 sq. unit
The linear function that is represented by which table has the same slope as the graph?
Answer:
c
Step-by-step explanation:
Answer: Option C
(C) or Taable 3
Step-by-step explanation: