Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!
How many tenths are in 8.32?
Answer:
3 tenths
Step-by-step explanation:
Find the slop help please
Alina is building a roof for a dog house. She uses plywood to make the roof with the dimensions shown, but with an open bottom.
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
How many faces will she need to consider when deciding the amount of shingles to buy for the roof?
faces
Step-by-step explanation:
Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
Find the surface area of the roof.
The area of each triangular face is
✔ 6
ft2.
The surface area of the roof is
✔ 24
ft2.
The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.
What is Surface Area of an Object ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Alina is building a roof for a dog house
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
Find the surface area of the roof.
The surface area of each triangular face is given by the formula
= (1/2) * base * height
= (1/2) * 4 * 3
= 6 ft²
The surface area of the roof is
= 4 * 6
= 24 ft²
She'll need to consider 4 faces when buying shingles for roof .
To know more about Surface Area
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Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers
Answer:
60 36 24
Step-by-step explanation:
5 3 2
25x +9x + 4x = 5472
38x = 5472
x = 144
25(144) = 3,600 9(144) = 1,296 4(144) = 576
60² = 3,600 36²= 1,296 24² = 576
3,600 + 1,296+576 = 5,472
. A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
full length = 25 in.
Step-by-step explanation: .
20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative. Round answers to 4 decimal places where possible.
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
How many cubic blocks that are 4 inches on each side can fit into this box? A. 60 B. 20 C. 30 D. 15
Answer:
b
Step-by-step explanation:
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answer:
32 minutes or .5333 of an hour
Step-by-step explanation:
How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000
Need help!!!!!!!!!!!!!!!!
Answer:
x=35
y=72.5
Step-by-step explanation:
Answer:
x=35 , y=72.5
Step-by-step explanation:
I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out
2y + 35 = 180
Minus 35 from both sides
2y = 145
Then we can divide 2 from both sides
y = 72.5
Then we test for x
2y + x = 180
Plug in y
145 + x = 180
Minus 145 from both sides
x= 35
There's your answer! I hope I cleared up any confusion
What function is represented ?
A quartic function
An exponential function
A cubic function
A quadratic function
A linear function
Answer:
A cubic function
Step-by-step explanation:
I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
can someone help me on this
Answer:
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
[tex] \frac{3}{4} = \frac{x}{12} [/tex]
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
[tex] \frac{1}{3} = \frac{2}{x} [/tex]
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
Problem 3:
[tex] \frac{2}{4} = \frac{x}{y} [/tex]
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
Show all 4 steps of the following:
x - 3/5= 1/6
Answer: x=23/30
Step-by-step explanation: Hope this help :D
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
What is the volume of this triangular prism
9514 1404 393
Answer:
153.6 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³
Can someone please help?
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
Angles of Triangles Scavenger Hunt Answer Key
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
346.50
Step-by-step explanation:
550 discounted by 30% is 385.00.
385.00 discounted by 10% is 346.50
what is the answer for this one?
2x + 3 = 9. x
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
Reflect P (-5,10) over the x-axis. What are the coordinates of the reflected point? What quadrant is the reflected point in?
Answer:
(-5,-10)
it is in quadrant 3 (quadrant III)
Step-by-step explanation:
Mark as Brainliest
Answer:
(-5,-10) In Quadrant III
Step-by-step explanation:
When reflecting a point accross the x-axis, the y-coordinate of the point changes signs
Ex. Positive to Negative and vice versa
Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)
Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III
Find the perimeter of the figure
Answer:
no.6 is 22in. while in no.7 is 18cm
Zoey had 15 rocks.
she put them in 3
boxes. how many
were in each box?
Answer: 5
Step-by-step explanation:
plzzzzzzzz help for a brainly
Answer:
35
Step-by-step explanation:
the answer is 35 because a straight line is 170° and 135+35 is 170
please answer 4 - 9 will mark brainlyist
There are 180 degrees in a triangle
4. 38+38= 76 degrees
180-76=104
Isosceles, Obtuse
5. 65+ x+x=65
Well we know one of the x
It is 90 degrees because it is a right angle
65+90=155
180-155=25
Scalene, Right triangle
6. 71+45= 116
180-116=64
7. Scalene, acute
8. 126+22=148
180-148=32
Scalene, Obtuse
9. 50+90=140
180-140=40
Right angle, Scalene
Please let me know if i got anything wrong
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.