Answer:
y = 1.5x(or d) + 8
Step-by-step explanation:
1.5 is the slope and 8 is the y intercept(the constant term)
Troy is building a ramp for his toy cars. The plank he is using for the ramp us 5ft long and is placed in a 3ft high box how far from the box is the bottom edge of Troy’s ramp in feet?
Answer:
Step-by-step explanation:
35
In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.
Find AH and Aᴬᴮᶜ
Answer:
AH = 4 units
Area of ΔABC = 16 square units
Step-by-step explanation:
Since ΔABC is an isosceles triangle,
AC = BC
∠CAB ≅ ∠ABC [Opposite angles of the equal sides in a triangle are equal]
In ΔABC,
m∠CAB + m∠ABC + m∠ACB = 180°
m∠ABC + m∠ABC + 150° = 180°
2m∠ABC = 30°
m∠ABC = 15°
Now we apply cosine rule in ΔABC,
AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)
AB² = 8² + 8² - 2(8)(8)cos(150°)
AB² = 128 + 110.85
AB = [tex]\sqrt{238.85}[/tex]
AB = 15.45
In ΔABH,
sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]
sin(15°) = [tex]\frac{AH}{15.45}[/tex]
AH = 15.45sin(15°)
AH = 3.998
AH ≈ 4.0 units
HC = [tex]\sqrt{8^{2}-4^2}[/tex]
= [tex]\sqrt{48}[/tex]
= 6.93
Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 square units
Both the numerator and denominator of 18/21 can be divided by ___.
1. 4
2. 6
3. 3
4. 2
3. 3 hope this will help you
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
Answer:
The Answer Is B
Step-by-step explanation:
-4/5 = -1 (Rounded)
3/5 = 1/2 (Rounded)
-6/7 = -1 (Rounded)
5/6 = 1 (Rounded)
If your looking for the whole thing it would be:
(-1)[1/2](-1)(1) = x
Your Welcome! <3
The result of which expression B will best estimate the actual product of (-4/5) × (3/5) × (-6/7) × (5/6).
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),
= (-4/5) × (3/5) × (-6/7) × (5/6)
The final result of the given expression is,
= 360/1050
=0.34
The product of the given values in the expression B is obtained as the equivalent expression to the given values.
Thus, the result of which expression B will best estimate the actual product of (-4/5) × (3/5) × (-6/7) × (5/6).
Learn more about the arithmetic operations here,
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Which of the following is closest to the value of the expression 3 x (square root of 2)?
Select one:
01.4
03.8
04.2
04.4
Answer:
4.2
Step-by-step explanation:
3 x (sqrt 2)
3 x (1.41421356237)
4.24264068712
4.2
Suppose you are working with a data set that is normally distributed, with a mean of 150 and a standard deviation of 48. Determine the value of x from the following information. (Round your answers and z values to 2 decimal places, e.g. 1.25.) (a) 60% of the values are greater than x.
Answer:
Step-by-step explanation:
Find the z-value with a left tail of 0.40
invNorm (0.40) = -0.2533
----
Find the corresponding x-value using x = z*s + u
x = -0.2533*20 + 400 = 394.93
The tables represent two linear functions in a system.
What is the solution to this system?
у
0 (43, -25)
0 - 14.-54]
O (-13, -50)
O (-14, -54)
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From left to right for the tables :
[tex]1) \: \: \: \: y = 4x + 2[/tex]
And
[tex]2) \: \: \: \: y = 3x - 12[/tex]
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To find the solution we need to take equal above equations .
[tex]4x + 2 = 3x - 12[/tex]
Subtract sides 3x
[tex] - 3x + 4x + 2 = - 3x + 3x - 12 \\ [/tex]
[tex]x + 2 = - 12[/tex]
Subtract sides 2
[tex]x + 2 - 2 = - 12 - 2[/tex]
[tex]x = - 14[/tex]
Thus the x-coordinate of the solution must be -14 which is just in the last option.
Thus the correct answer is the last one.
Done...
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) How many miles can the SUV travel on
25 gallons of gas?
miles
Answer: 1,000
Step-by-step explanation: after you find the answer for 20/3 divided by 1/6 equals 40 so you multiply 40 x 25 to get 1,000
The SUV can travel 425 miles on 25 gallons of gas.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
We can use a proportion to solve this problem. The miles per gallon (mpg) of the SUV can be calculated by dividing the distance traveled by the amount of gas used:
MPG = distance/gas
So for the first case, we have:
MPG = 340 miles / 20 gallons = 17 miles per gallon
To find out how far the SUV can travel on 25 gallons of gas, we can use the same mpg and solve for the distance:
Distance = mpg x gas
Distance = 17 miles per gallon x 25 gallons
Distance = 425 miles
Therefore, the SUV can travel 425 miles on 25 gallons of gas.
To learn more about the proportion:
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The complete question:
If an SUV travels 340 miles on 20 gallons of gas, how far can it travel on 25 gallons of gas?
The number 80 is decreased to 73. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
8.75 as 80-73 gives 7 and 7/80x 100= 8.73 by which is the percentage it is decreased.
hello please will give brainliest!
Answer:
A.
Step-by-step explanation:
Just means for every 4 cans of soup, you need 3 pb jars
Cans of soup : jars of peanut butter
4:3
8:6
16:12
20:15
8/12 the equibalent fraction
Answer:
An equivalent fraction for 8/12 could be 2/3
Step-by-step explanation:
It could be 2/3 because I divided 8 by 2 which is 4 and 12 by 2 which is 6 and the answer for that is 4/6 as a fraction, now notice how we could still divide the number by 2, so 4 divided by 2 is 2 and 6 divided by 2 is 3. So the answer as a fraction would be 2/3.
-Hope this helps
An equivalent fraction of 8/12 could be 2/3
What is the solution to the equation 1/4x+2=-5/8x-5
multiply everything by 8
2x+16 = -5x-40
-16 on both sides
2x = -5x-56
+5x on both sides
7x = -56
x=-8
so the first option
Answer: x = -8
its just is lol
The solution of which inequality is shown by the number line?
-7 -6
-5
-4
-3
-2
1/8 as a decimal show how to do it
Answer:
0.125
Step-by-step explanation:
1/8 is the same as 1 ÷ 8
1 ÷ 8 = 0.125
I hope this helped!
Answer:
0.125
Step-by-step explanation:
how i do it it to multiply 125 by 8 that equals 1000. now, every 125 is 1/8 so there is your answer
what is 49400000000000 written in scientific notation
Answer:
4.94x10^13
Step-by-step explanation:
You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.
You probably don't need this answer anymore, sorry!
Andre runs 14 miles in 2 hours. He bikes 72 miles in 3 hours. How many more miles does Andre bike than he runs in one hour?
Answer:
the answer is 17
Andrew and Connie are both teachers at their local school. There are 15 female teachers at the school and 35 male teachers. What is the ratio of male to female teachers?
Answer:
7:3
Step-by-step explanation:
Which expression has the same sum as the one below?
- 15+6
0.15+6
0-6+(-15)
15+(-6)
6+(-15)
Answer:
6+(-15)
Step-by-step explanation:
=6+(-15)
=6-15
=-9
A person standing on a moving walkway travels 90 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y = 3x; 30 feet
B. y = 9x; 90 feet
C. y = 1/3x; 3 feet
D. y = 3x; 3 feet
Answer:
What equation represents this relationship? How many feet will the person travel in 10 seconds? A. y = 3x; 30
How do you calculate the percentage of a number? ex. 70% of 70
Answer:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Step-by-step explanation:
Example: What is 10% of 150?
Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
2
Kristen is going to hire a makeup artist
(Look at the photo please will name Brainlyest)
Find the value of x for which m\\n
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144° There you go! Have a awesome day.
On three consecutive passes, a football team gains yards,9 loses 18 yards, and gains 41 yards. What number represents the total net yardage?
Answer:
Gain:
32 yards
Step-by-step explanation:
+ 9 - 18 + 41
= 41 + 9 - 18
= 50 - 18
= 32
what is the area of 5in and 1 1/3
Another way to write (3x-4)^2?
Four times a number, added to 8, is 32
Answer: 6
Step 1: Subtract 8.
32 - 8 = 24
Step 2: Divide by 4, since the question is asking for 4 times the number.
24 ÷ 4 = 6
Answer = 6
−4x−y=24
whats the points
Two real numbers are defined as x=0.555555555555555....
Y=0.4564556455564555..
Which is rational and which is irrational
Answer:
0.555555555555555 is a rational number
0.4564556455564555 is an irrational number
How many significant figures are in the number 0.00282
Step-by-step explanation:
has 3 (sig figs) and 5 decimals. see the additional (+) and subtraction (-) round by the last number of decimals or use scientific no ( e.g. 1.000 x 10^3 or 1.000e3)
Keith 1,342 cupcake rounds to 1,300 and joe 1,347 cupcake rounds to 1,350 who round to the nearest hundred?
Answer:
Keith
Step-by-step explanation:
When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.
Hope that helps and have a great day!