Answer:
16.2 inch²
Step-by-step explanation:
The attached picture consists of 4 equilateral triangles :
Height of equilateral triangle = 2.7 inches
Base of triangle = 3 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 3 * 2.7
Area of triangle = 4.05 inch²
Number of square inches of cardboard needed :
Area of each triangle * number of Equilateral triangles
4 * 4.05 inch²
= 16.2 inch²
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed
Answer:
50 km/hr
Step-by-step explanation:
OK, this is how I solved this problem.
Let r = original rate of speed
t = time after the stop to finish the trip
Time for trip without stopping is 225/r
(1) 1.5 + .5 + t = 225/r This is a time equation
(2) 1.5r + t(r + 10) = 225 This is a distance equation
(1) 2 + t = 225/r (2) 1.5r + tr + 10t = 225
2r + tr = 225
tr = 225 - 2r 1.5r + 225 - 2r + 10(225/r - 2) = 225
t = 225/r - 2
-.5r + 225 + 2250/r - 20 = 225
-5r + 2250 + 22500/r - 200 = 2250
-5r^2 + 2250r + 22500 - 200r = 2250r
5r^2 + 200r - 22500 = 0
5(r^ + 40r - 4500) = 0
5(r - 50)(r + 90) = 0
r = 50 or r = -90
The rate cannot be negative, so the original speed 50 km/hr
This not an easy problem and I hope you were able to follow my work
Answer:50km hope that helped pls mark me brainliest :))
1000 chicken wings weighs 3000 g how many grams in one chicken wing weigh
Answer:
3 grams are in one chicken wing
Step-by-step explanation:
Set up an equation:
Variable x = grams per 1 chicken wing
1000/3000 = 1/x
Cross multiply
1000 × x = 3000 × 1
1000x = 3000
Divide both sides by 1000 to isolate the variable x
x = 3
Answer:
3
Step-by-step explanation:
3000/1000=3
Two vans leave a campground at the
same time. One is traveling north at a
speed that is 10 miles per hour faster
than the other, which is traveling south.
After 2.5 hours, the vans are 255 miles
apart. What is the speed in miles per hour
of the van traveling south?
Answer:
92 mph
Step-by-step explanation:
Let the speed of the van travelling south
=
v
mph
The distance travelled by the car travelling north is
d
1
=
10
⋅
2.5
=
25
The distance travelled by the car travelling south is
d
2
=
v
⋅
2.5
=
2.5
v
The distance between the cars after
2.5
h
is
d
1
+
d
2
=
255
25
+
2.5
v
=
255
2.5
v
=
255
−
25
=
230
v
=
230
2.5
=
92
mph
The speed is
=
92
mph
need help How much wrapping is needed to cover a cubed gift box that is 9 inches high? (Include the bow which takes 115 sq. inches.)
Answer:
601 square inches
Step-by-step explanation:
We are to find the surface area of a cube
The surface area of a cube is = 6a²
Where a = side length
From the above question,
a = 9 inches
Hence,
Surface area = 6 × 9²
= 486 square inches
We are asked to include the surface area of the bow which is given as: 115 square inches
Total Surface Area of the cube(With the bow included) = (486 + 115)square inches
= 601 square inches
Answer:
601 square inches
Step-by-step explanation:
Other guy is right i'm just here to confirm since i had it on my test
A value of a car is $24,000. You pay it off by making payments of $6200 a year. Write and equation for when the car would be payed off
Answer: 24,000 / 6,200 = x years
Step-by-step explanation:
The car is valued at $24,000.
Yearly payments are $6,200.
The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.
You can do that by dividing $24,000 by $6,200.
Assume the number of years for the car to be paid off is x:
24,000 / 6,200 = x years
When solved:
= 24,000 / 6,200
= 3.87 years
. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?
Answer:
y = 6.5 units
Step-by-step explanation:
Let L be the length of sides of the square.
Given the following data;
Perimeter of square = 8y - 12
Area of square = 100 square units
To find the value of y;
Area of a square = L²
Substituting into the formula, we have;
100 = L²
L = √100
L = 10 units
Mathematically, the perimeter of a square is given by the formula;
Perimeter of a square = 4L
Substituting into the formula, we have;
8y - 12 = 4*10
8y - 12 = 40
8y = 40 + 12
8y = 52
y = 52/8
y = 6.5 units
Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:
A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)
Answer:
Answer:
A. The temperature of the city and the number of popsicles sold are positively correlated
B.
Slope: 0.1233
Y-Intercept: 6
Step-by-step explanation:
Being dead honest with you less people will answer if there isn;t a photo, But I can't be 100% sure of my answer being there isn't one.
(90,20)
(40,10)
40-90= -50
10-20= -10
-10/-50= 0.2
Thats the slope line I used 2 random numbers, I don't know the order so it might be wrong.
Well look at your graph are the lines going up or down as x increases?
From my assighment it is a increase.
The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each. The little theater holds 142 people and was sold out for both Friday and Saturday. The total sales for the two days were $1,940. How many people got tickets for both Friday and Saturday combined
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
During a store's closing sale, everything is 65% off. Victors goes into the store to buy a shirt and a pair of pants, and spends 15.40 before tax.How much would he have spent without the sale
Answer:
$51.33
Step-by-step explanation:
Everything is off 65% so that means that $15.40 if 35% of the original price(100%-65%)
Set up Equation:
[tex]\frac{15.40}{x} = \frac{30}{100}[/tex]
Simplify:
[tex]\frac{15.40}{x} =\frac{3}{10}[/tex]
Multiply the first numerator by the last denominator and the first denominator by the last numerator
[tex]3x=154[/tex]
Divide 3 by both sides:
x= 51.33
The price of a scooter was Rs. 34000 last year. It has increased by 25% this year. Then the increase price is? Please in step by step answer method. I will mark you branliest.
Answer:
Rs. 42500
Step-by-step explanation:
100% + 25% = 125% ÷100 = 1.25
34000 x 1.25 = 42500
Help help help help help
Answer:
x=10
Step-by-step explanation:
<AOC =90°
and <AOB + <BOC = <AOC
3x+46+14=90°
3x+60=90°
3x = 90°-60°
3x=30°
X=30÷3
X= 10°
Mrs. Piazza's class is voting on where to take a field trip. 1/4 of the students want to go to the zoo and 1/8 of the students want to go to the aquarium. The rest of the students want to go to a baseball game. What fraction of the class wants to go to a baseball game?
Answer:
5/8
Step-by-step explanation:
The fraction of students that went to the baseball game can be known by adding the fraction of students that went to the zoo and the aquarium and subtracting it from 1
Sum of the fraction of students that went to the zoo and the aquarium
= [tex]\frac{1}{4} + \frac{1}{8}[/tex]
[tex]\frac{2 + 1 }{8}[/tex]
= [tex]\frac{3}{8}[/tex]
Fraction of students that went to the baseball game = 1 - [tex]\frac{3}{8}[/tex]
[tex]\frac{8}{8} - \frac{3}{8}[/tex] = [tex]\frac{5}{8}[/tex]
Please helpppp tyy :)
Answer:
5x + 3
Step-by-step explanation:
You Spin The Spinner The Numbers on it are: 1,2,2,2,3,3,3,1, in how many ways can spinning 1 occur
Answer:
1/4
Step-by-step explanation:
Probability (spinning 1) = 2/8
= 1/4
Answer:
2 over 8
Step-by-step explanation:
so there are 8 numbers altogether. there are 2 1s in all so it would be 2 over 8
Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 5x -10 = x2 + 4
Answer:
Step-by-step explanation:
2x2+5x−10=x2+4
Step 1: Subtract x^2+4 from both sides.
2x2+5x−10−(x2+4)=x2+4−(x2+4)
x2+5x−14=0
For this equation: a=1, b=5, c=-14
1x2+5x+−14=0
Step 2: Use quadratic formula with a=1, b=5, c=-14.
x=
−b±√b2−4ac
2a
x=
−(5)±√(5)2−4(1)(−14)
2(1)
x=
−5±√81
2
x=2 or x=−7
Answer:
x=2 or x=−7
Answer:
x = 2 or x= -7
Step-by-step explanation:
We can use factorisation to solve this.
First, we shift all the variables to one side (see attachement)
Then, we need to find the value of x, which multiples to give -14 and adds together to give 5.
7 - 2 = 5
and 7 x (-2) = -14.
Now we factorize (group into brackets) to find the values of x.
We solve for x to find the final answer.
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answer:
B
Step-by-step explanation:
cause f ones have 5 lb and t ones have 2.5 lb
Answer:
B
Step-by-step explanation:
The correct answer is B!
Please find the area of this rectangle.
Answer: third choice A=6x^2-7x-3 inches squared
Step-by-step explanation:
find the area and circumference of the 2 circles
Answer:
32, 45
Step-by-step explanation:
what is needed for a shape to be even
What is the result of −14⋅−1249?
Answer:
138
Step-by-step explanation:
Hope you have a wonderful day!
please help idw to do thegrade again
Answer:
Point L
Step-by-step explanation:
L
Answer: B. L
Hope this helps
The radius of a circle is 6 inches. What is the area of the circle in square inches? Round your answer to the nearest tenth.
Answer:
I think 113.04
Step-by-step explanation:
The formula for the area of the circle is:
A=
[tex]\pi \times r { }^{2} [/tex]
Resolving:
[tex]\pi \times 6 {}^{2} = 113.097[/tex]
Ms. Simonetti mows the lawn with a gas lawn mower. In order to work, oil
must be mixed into the gasoline. The oil to gas ratio must be 3:50. How
much oil must she put into a 2.5 L of gasoline. *
I got one but someone plz help me with the rest I will give brainly to the first person to answer right.
Classify each polygon by its number of sides.
Drag the choices into the boxes to correctly classify each polygon.
Answer:
First figure is a hexagon
second figure is a dodecagon
third figure is a decagon
Step-by-step explanation:
We can classify each figure by how many sides it has.
the first one had 6 sides. a six sided polygon is known as a hexagon
the second one has 12 sides. a 12 sided polygon is known as a dodecagon
the third one has 10 sides. a 10 sided polygon is known as a decagon
Pls help I will give brainlist
Answer:
x = 30
Step-by-step explanation:
They are vertical angles.
Equation: 2x - 15 = 45
2x = 60
x = 30
What is the equation of the line that passes through the point (4,2) and is
parallel to the line represented by
y - 4 = 1/2(x + 3)?
Answer:
Step-by-step explanation:
If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.
Given that there is a point at (4,2), the equation of the line is then
y - 2 = 1/2(x-4)
Answer:
[tex]y=\frac{1}{2} x[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )[/tex]
to find the line parallel to
[tex]y-4=\frac{1}{2} (x+3)[/tex].
A right prism has a square base and volume, V, of 576 cubic centimeters. The height, h, of the prism is 16 centimeters. Find the area of the base, B. A. B. C. D.
Answer:
36
Step-by-step explanation:
the volume of the prism is, the area of the base x height
.
b x 16 = 576
b = 36
so the answer is 36
Answer:
C) 36
Step-by-step explanation:
Can someone really help me please!!
PLEASE HELP, IM DYING. I NEED HELP ON THIS QUESTION! thank you.
The formula for finding the volume of a cylinder is V = ℼr2h where r is the radius of base of the cylinder and h is the height. If the radius of the cylinder is 5 cm and the height is 25 cm, find the volume of the cylinder.
Answer:
Step-by-step explanation:
its volume is h.r^2.ℼ
r = radius
h = height
5 x (5x5) x ℼ = 125ℼ
125ℼ is approximately 392.7
Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13
Answer:
Cy
Step-by-step explanation:
x is the number of hours