Answer:
y=20x+35 is the equation
The sum of two numbers is 8 and
their difference is 2.
Answer:
The numbers are 3 and 5.
Step-by-step explanation:
Hope that helped.
Also can I please have Brainliest?
Only if I'm right of course
A dolphin was swimming 4 feet below sea level. The number line shows the
location of the dolphin. It then dove down 3 feet Describe how to use the
number line to find the new location of the dolphin
Answer:
-4+(-3)= -7. The dolphin is -7 feet below sea level
Step-by-step explanation:
Start at -4 on the number line. When you add a negative number to a negative number, you move left on the number line. Move 3 units to the left to land at -7. The dolphin is 7 feet below sea level.
In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
helpppp it’s my friends birthday
24% of 72 is what number? (will mark brainliest for full explanation)
Answer:
300
Step-by-step explanation:
Answer:
17.28
Step-by-step explanation:
Multiply 72 by .24, .24 being 24% because it is 24 out of 100.
2,___, 8, ___, ___, 17 The first, third, and sixth terms of an arithmetic sequence are shown. What is the common difference between consecutive terms in the arithmetic sequence? Type your answer in the box. Backspace to erase.
Answer:
3
Step-by-step explanation:
The pattern is 2, 5, 8, 11, 14, 17.
Hopefully this helps!
In the Arithmetic sequence, the common difference between consecutive terms is 3 .
The general term of an arithmetic sequence is,
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where d is common difference.
Given that, first term [tex]a_{1}=2,a_{3}=8[/tex]
So, [tex]a_{3}=a_{1}+2d\\\\8=2+2d\\\\2d=8-2=6\\\\d=6/2=3[/tex]
Therefore, common difference is 3.
Learn more about arithmetic sequence here:
https://brainly.com/question/13711310
hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp
Answer:
B is the answer
Step-by-step explanation:
It can travel 30 1/2 miles on 1 1/4 gallons of gas find the unit rate for miles per gallon for the car ?
28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.
Answer:
1) 28 divided by 7 equals 4
2) 32 divided 8 equals 4
3) 4000 divided by 4 equals 1000
i hope these are right!
Answer:
4
1/4
1000
multiply it by the reciprocal of the 2nd number
Step-by-step explanation:
Solve the inequality below
-8x + 4 > 20
Include x and number in answer
Answer:
x<-2
Step-by-step explanation:
You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer
Solve for w.
w−8=32
w = 4
w = 24
w = 40
w = 256
Answer:
w=40
Step-by-step explanation:
Let's solve your equation step-by-step.
w−8=32
Step 1: Add 8 to both sides.
w−8+8=32+8
w=40
A sample of 12 cars was taken, and the horsepower to miles per gallon was recorded. The computer output for regression is below:
A: y = 6.28 +0.07x
B: y= 0.07 + 6.28x
C: y = 7.47 -2.85x
D: y = -0.20 + 46.92x
E: y = 46.92-0.20x
Answer:
From the given output, the regression equation for the line is
ycap = 46.92 - 0.20x
Option D
The regression equation of the sample of 12 cars from the computer output is (e) y = 46.92 - 0.2x
How to determine the regression equation?From the computer output, we have the following parameters
Intercept = 46.92
Horsepower = -0.20
The above means that the regression equation is:
y = Horsepower * x + Intercept
So, we have:
y = -0.2x + 46.92
Rewrite as:
y = 46.92 - 0.2x
Hence, the regression equation of the sample of 12 cars is (e) y = 46.92 - 0.2x
Read more about regression equations at:
https://brainly.com/question/17844286
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what is difference between applied force and normal force?
Answer:
An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object. The normal force is the support force exerted upon an object that is in contact with another stable object.
HELP PLEASEEEE
what is 3x(-1)-1 ?
Answer:
−3x−1
Step-by-step explanation:
A chef at a restaurant uses 17 pounds of butter each day. About how many grams does the chef use each day?
answer
7711.07
Step-by-step explanation:
The chef uses 7,711.03 grams each day at a restaurant.
How to convert Pounds to Grams?The methodology to convert Pounds to Grams is relatively simple. To convert Pounds to Grams, you must multiply the unit by 453.59.
For example, if you have to convert 5 Pounds to Grams, you need to multiply 5 by 453.59.
A chef at a restaurant uses 17 pounds of butter each day.
We have to determine the number of grams the chef uses each day.
Since 1 pound (lb) is equal to 453.59 grams (g).
So 17 pounds = 453.59 × 17 = 7,711.03 grams
Thus, the chef uses 7,711.03 grams each day.
To learn more about the unit conversion click here:
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What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
ASAP Evaluate the expression: 20.16(0.375)
Answer:
7.56
Step-by-step explanation:
Just multiply
20.16 times 0.375
7.56
Answer:
Hii
The answer is 7.56.
Step-by-step explanation:
you multiply the value outside of the bracket with the value inside of the bracket.
#3 only timed test!!
Answer:
It's the second option
Step-by-step explanation:
When inputting each of those numbers given in the question into the equation, you get the numbers in the second option.
Solve for X:
4/9 = x/22.5
Answer:
x = 10
Step-by-step explanation:
...................
You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?
Answer:
Step-by-step explanation:
Step-by-step explanation:
Since, after making the diagram of this situation,
We get two triangles ABC and CED,
In which AB = 90 feet, BC = 36 feet and CE = 100 feet,
Now,
( Vertically opposite angles )
( Right angles )
By AA similarity postulate,
By the property of similar triangles,
Since, point D represents the lighthouse.
Hence, the distance from point E to the lighthouse = 250 feet
Help please! 20 points for whoever answers and Brainiest for whoever gets it right!
Answer:
4s/2
Step-by-step explanation:
Since it's a square, all sides are s.
Multiply s by 4, to get 4s.
Now you do 4s/2
I'm not 100% sure but I tried :)
Answer:
hey bella jordan is searching you like a mad plzz reponse him
Which of the following is a solution for 5 - 2xs-3?
-4
4
1
-1
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
Which is the last operation preformed when evaluating (8-2x)²+4 for x=3
A addition
B multiplication
C subtraction
D applying the exponent
Please hurry
Answer: I think its c sorry if im whrong
A line passes through the points (8, 1) and (6, 7). What is the slope?
Answer:
-3
Step-by-step explanation:
7-1=6
6-8=-2
A line connects the points (8, 1) and (6, 7). The angle is -3.
What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.Therefore,
Slope (m) = ΔY/ΔX
= 3/-1
= -3
The slope = -3
θ = arctan(ΔY/ΔX) + 180°
=1 08.43494882292°
ΔX = 6 – 8 = -2
ΔY = 7 – 1 = 6
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = -3x + 25
When x = 0, y = 25
When y = 0, x = 8.3333333333333
Hence, A line connects the points (8, 1) and (6, 7). The angle is -3.
To learn more about slope, refer to:
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Mrs. Ryan purchased 25,000 grams of clay for her art classes at school. If she has 100 students, how many grams of clay will each student get if it is divided equally?
25 grams
100 grams
250 grams
2,500 grams
Consider the algebraic expression:
x + 2-5 + 3x
Use the algebra tiles interactive to collect like terms.
How many x tiles represent the simplified expression?
Answer:
4
Step-by-step explanation:
got it right trust me
Answer:
4
Step-by-step explanation:
I did it on Edge. 2021 ;)
How many gallons is equivalent to 20 quarts. There are 4 quarts in a gallon.
Label your answer in gallons.
Answer:
5 gallons plz give brainliest
Step-by-step explanation:
Answer:
5 gallons
Step-by-step explanation:20 gallons divided by 4 quarts = 5
20/4=5
Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f
Answer:
Step-by-step explanation:
its a or e
Answer:
A
Step-by-step explanation:
A is bicycles to skateboards which is 10:6
at present Ankit is twice as old as his son in four years he will be four times as old as what his son was 9 years ago find the present years of both of them
Answer:
His son present age is 20 years
His present age is 40 years
Step-by-step explanation:
Assume that this son's age now is x years
∵ His son's age now = x years
∵ Ankit age is twice as old as his son
→ Twice means × 2
∴ Ankit age = 2 × x = 2x years
→ In for years means after 4 years (add)
∵ His age in four years = 2x + 4
→ 9 years ago means before 9 years (subtract)
∵ His son 9 years ago = x - 9
∵ In 4 years he will be four times as old as what his son was 9 years ago
→ That means 2x + 4 = 4 × (x - 9)
∴ 2x + 4 = 4(x - 9)
→ Let us solve the equation to find x
∴ 2x + 4 = 4(x) - 4(9)
∴ 2x + 4 = 4x - 36
→ Subtract 4 from both sides
∵ 2x + 4 - 4 = 4x - 36 - 4
∴ 2x = 4x - 40
→ Subtract 4x from both sides
∵ 2x - 4x = 4x - 4x - 40
∴ -2x = -40
→ Divide both sides by -2
∵ [tex]\frac{-2x}{-2}[/tex] = [tex]\frac{-40}{-2}[/tex]
∴ x = 20
∵ x represents the present age of his son
∴ His son present age is 20 years
∵ 2x represents his present age
∵ 2(20) = 40
∴ His present age is 40 years