Answer:
$7.56
Step-by-step explanation:
$7(.08) = .56 in tax
$7 item cost + .56 in tax
3. If s varies directly as (r + 1) and s = 8, when r = 3, calculate the value ofr when s = 20.
(4marks)
Answer:
When s = 20, r = 9
Step-by-step explanation:
Given,
s is directly proportional to (r + 1)
s = k(r + 1)
(k is the constant of proportionality)
When s = 8,
8 = k(3 + 1)
8 = k(4)
8 = 4k
8/4 = k
2 = k
When s = 20,
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
en la escuela de Mario se construye una cancha de baloncesto a partir del dibujo a escala
Answer:que?
Step-by-step explanation:
Answer:
· Dibuja la cancha de Baloncesto con medidas a escala #escudomania #aprenderadibujar #dibujarfacil Hola, bienvenido a este canal #escudomania, aqui encontraras...
Step-by-step explanation:
please help me quickly
Answer:
B is (4,0) and D is (8,10)
Step-by-step explanation: Read the x and y cordinates
Answer:
(8,10)
Step-by-step explanation:
coordinates are set up like (x,y)
8 is in the x
10 is in the y
please help me please please
Answer:
I think it is the second one, flown by women
Step-by-step explanation:
A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 1575 miles, and the sum of their fuel efficiencies was 55 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Answer:
Fuel efficiency of first car = 30 miles/gallon
Fuel efficiency of second car = 25 miles/gallon
Step-by-step explanation:
Given that:
Fuel consumed by first car = 40 gallons
Fuel consumed by second car = 15 gallons
Total distance drove by the two cars combined = 1575 miles
Sum of their fuel efficiencies = 55 miles/gallon
To find:
The fuel efficiencies of each of the cars = ?
Solution:
Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.
Let the distance traveled by first car = [tex]x[/tex] miles
So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles
Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon
Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon
As per given question statement:
[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]
Distance traveled by first car = 1200 miles
Fuel used by first car = 40 gallons
So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]
Distance traveled by second car = 1575 - 1200 = 375 miles
Fuel used by second car = 15 gallons
So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]
Help me solve this problem please
Answer:
Its A
Step-by-step explanation:
By Factoring And Using Quadratic Formula x raise to two minus 10x is equals to negative 21
Answer:
[tex]x =3[/tex] or [tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 10x = -21[/tex]
Required
Solve by factoring & quadratic formula
By Factoring:
[tex]x^2 - 10x = -21[/tex]
Equate to 0
[tex]x^2 - 10x +21 = 0[/tex]
Expand:
[tex]x^2 - 7x -3x+21 = 0[/tex]
Factorize:
[tex]x(x-7)-3(x-7) = 0[/tex]
[tex](x-3)(x-7) = 0[/tex]
[tex]x -3 = 0[/tex] or [tex]x - 7 = 0[/tex]
[tex]x =3[/tex] or [tex]x = 7[/tex]
By quadratic
[tex]x^2 - 10x = -21[/tex]
Equate to 0
[tex]x^2 - 10x +21 = 0[/tex]
For
[tex]ax^2 + bx + c = 0[/tex]
x is solved using:
[tex]x = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
where
[tex]a = 1[/tex]; [tex]b = -10[/tex]; [tex]c = 21[/tex]
So:
[tex]x = \frac{-(-10)\±\sqrt{(-10)^2-4*1*21}}{2*1}[/tex]
[tex]x = \frac{10\±\sqrt{100-84}}{2}[/tex]
[tex]x = \frac{10\±\sqrt{16}}{2}[/tex]
[tex]x = \frac{10\±4}{2}[/tex]
Split
[tex]x = \frac{10+4}{2}[/tex] or [tex]x = \frac{10-4}{2}[/tex]
[tex]x = \frac{14}{2}[/tex] or [tex]x = \frac{6}{2}[/tex]
[tex]x = 7[/tex] or [tex]x =3[/tex]
What is the slope of the line . For khan academy . Need answer immediately
Answer:
m = 2
Step-by-step explanation:
Researchers collected data on calories per serving for 77 brands of breakfast cereal. The histogram displays the data
30
25-
20
1
Frequency
15
What is the approximate center of this distribution?
The center of the distribution is between 120 and 130
calories.
The center of the distribution is between 90 and 100
calories.
The center of the distribution is between 110 and 120
calories.
The center of the distribution is between 80 and
90 calories.
The center of the distribution is between 130 and 140
calories.
10
-
50 60 70 80 90 100 110 120 130 140 150 160
Calories
Histogram attached
Answer and explanation:
To find the center of the distribution, we find the mean of the distribution.
Mean= sum of all values/number of values
To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)
midpoint of 50-60=50+60/2=55
midpoint of 70-80=150/2= 75
midpoint of 80-90=170/2=85
midpoint of 90-100=190/2=95
midpoint of 100-110=210/2=105
Midpoint of 110-120=230/2=115
Midpoint of 120-130=250/2=125
Midpoint of 130-140=270/2=135
Midpoint of 140-150=290/2=145
Midpoint of 150-160=310/2=155
Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+
135*2+145*3+155*3
Sum of all values =8605
Number of values= 3+2+1+7+17+29+10+2+3+3=77
Mean= 8605/77= 111.753
Therefore the center of the distribution is between 110 and 120 calories.
Molly bought 2 pounds of jelly beans for
$2.99. How much would 7 pounds of jelly
beans cost?
(Round your answer to the tenths place.)
Answer:
10.5
Step-by-step explanation:
2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.
Benjamin decided to himself to breakfast at Seva restaurant he ordered chocolate milk that cost $3.25 then he wants the bio as many pan cakes as he can but he wants to be able to be at most $30 before tax the restaurant only sells pancakes in stacks oh for pancakes cakes for $5.50. Let S represent the number of stacks of pancakes that Benjamin buys which any inequality describe this scenario
Answer: 3.25 + 5.50s ≤ 30
Step-by-step explanation:
The following information can be gotten from the question.
Cost of chocolate milk = $3.25
Cost of stack pancake = $5.50
Maximum amount to be spent by Benjamin = $30
Number of stacks of pancakes to be bought = s
First, we need to calculate the stacks of pancakes that Benjamin can buy. This will be:
= $5.50 × s
= 5.50s
Therefore, the total money that Benjamin will spend will be:
= 3.25 + 5.50s
Since he wants to be able to be at most $30 before tax, the inequality can be written as:
= 3.25 + 5.50s ≤ 30
What is the binary number for 14
Answer:
Step-by-step explanation:
should be 1110
Answer:
1110
Step-by-step explanation:
elements of {1,2,3,4,6,12} and {4,6,8,10}
Step-by-step explanation:
A ={1,2,3,4,6,12}
B={4,6,8,10
[tex]A \cup B=[/tex]{1,2,3,4,6,8,10,12}
Expand and simplify 6(2x - 3) -2 (2x + 1)
Answer:
8x-20
Step-by-step explanation:
What is the volume of the box when x=3
Answer:
13
Step-by-step explanation:
Answer:
yes it is 13 i think
Step-by-step explanation:
lol i hope this is it
You are planning your vacation and trying to figure out the total number of miles you will be traveling on a round trip from Portland, Oregon to Denver, Colorado, and back to Portland, Oregon. The scale for the map you are consulting shows that 1 inch = 4 miles. Measuring, you find that you will be traveling 31412 inches for the one-way trip. What is the total number of miles you will be traveling during the entire round trip?
Answer:
31,417 miles i think I hope it will helpThe total number of miles you will be traveling for the entire round trip is 125650 miles.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
The question states that 1 inch = 4 miles. Therefore, if you multiply 31412 inches by 4, you will get the total number of miles you will be traveling for the round trip.
31412 × 4 = 125650
Therefore, the total number of miles you will be traveling for the entire round trip is 125650 miles.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ2
"Taylor's Toys" produced 600 remote control cars in two colors. For blue cars they produced 60 more than 3 times as many orange cars. How many of the cars were blue????????? I really need this right noww pleassseee
Answer:
Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)
Step-by-step explanation:
Hi, i'm trying to find the area of the attached rectangle, i'm trying to figure out how it works by putting it into pieces, i can't quite figure it out, any help would be nice!
Answer:
208[tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a rectangle= base x height
Find the area for each one of the rectangles and add up
2(4x8)+2(6x8)+2(4x6)
1/4 of a pizza was broccoli and half was mushroom and 1/4 was three cheeses. George ate 1/3 of the broccoli part and 1/3 of the mushroom part and 1/2 of the 3 cheese part. How much of the total pizza did he eat?
The number of people who attended a concert on Friday was 34 the number of people who attended the same concert on Saturday. A total of 840 people attended the concert on those two days. How many people attended the concert on Saturday?
Answer:
8
the answer is 806
Step-by-step explanation:
840-36=806
15 points for answer and brainliest answer for correct answer. Question up above
Answer:
i think its 48
Step-by-step explanation:
u can split it into 2 triangles
Why is the function below (the picture above) not a linear function?
what's the answer to this math picture please?
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
[tex] 3x + 20 = 8x - 5 [/tex] (substitution)
Collect like terms
[tex] 3x - 8x = -20 - 5 [/tex]
[tex] -5x = -25 [/tex]
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°
question in pic. please help!
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
PLEASE HELP
classify triangles
Answer:
I'm pretty sure its obtuse triangle
A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.
Answer:
You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Step-by-step explanation:
With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:
30 cups of orange juice → 18 cups of pineapple juice
1 cup of orange juice → x
x=(1*18)/30=0.6 cups of pineapple juice
According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
jules loses a golf ball
Answer:
Ok. I'm sorry Jules lost a golf ball. Is there a question?
Answer:
jus buy a new one
Step-by-step explanation:
they lost the golf ball so they need to buy a new one cuh
a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)
Answer:
A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
B. [tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Step-by-step explanation:
a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.
Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:
[tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Nine times a number, diminished by 4, is 95
Answer:
the number is 11
Step-by-step explanation:
"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95
Add 4 on each side: 9x = 99
Divide each side by 9: x = 11
I hope this helped, please mark Brainliest, thank you!
Answer:
Step-by-step explanation:
Let a number be X
So
Nine times a number, diminished by 4, is 95
9x-4=95
9x=95+4
9x=99
X=99/9
X=11
So the number is 11
Find the area of the trapezoid.