Answer:
x = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2(x + 7) ← distribute
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = [tex]\frac{15}{2}[/tex]
A 30ft electric line is suspended between the tops of two 20ft electric poles on level ground. The lowest point of the line is 5ft above the ground. What's the distance between the two electric poles?
Answer:
There is no distance between them
Step-by-step explanation:
For a 30 ft electric line to be placed between two 20ft electric poles, it would take 15 ft of the electric line to go down to about 5 ft above the ground and another 15 ft of the line to go to the top of the second electric pole. This means that a total of 30ft (15 ft + 15 ft) electric line would be needed which is all the cable we have.
For this to be possible then the poles must be adjacent to each other (i.e. no distance between them).
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? Y=4/7x
Answer:
the given equation is y=4/7x
reciprocating both sides you get y/x =7/4
now x and y are directly porportional to each other so
x=ky where k is the constant
or x/y=k ......................(2)
equating 1 and 2
k=7/4
Step-by-step explanation:
3 Which of these numbers is between -4 and 2 on the number line?" -6 3 -5 -1
Answer:-1
Source:trust me bro
Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
25°
35°
55°
65°
Answer:
35
Step-by-step explanation:
The triangle just moved. To translate an object doesn't change anything, it just changes the positioning.
Ex. Moving a box 1 foot forward and 1 foot to the left. I did nothing to the box, therefore the answer is 35 degrees since that is the only question there
If r = 1 and θ = 4π/3 what is the approximate arc length
Answer: 4.189 units
Step-by-step explanation:
AP EX
As per linear equation, the required approximate arc length is 4.19 units.
What is a linear equation?"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given, length of the radius (r) = 1 units
The value of the given angle(θ) = 4π/3 radian.
Therefore, the approximate arc length is
= length of the radius × value of the given angle
= r × θ
= 1 × 4π/3 units
= 4π/3 units
= 4.19 units
The required approximate arc length is 4.19 units.
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Negative 1.5 (4 minus r) = negative 12
Answer:
r = - 4
Step-by-step explanation:
Given
- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )
4 - r = 8 ( subtract 4 from both sides )
- r = 4 ( multiply both sides by - 1 )
r = - 4
Answer:
12
Step-by-step explanation:
1.5(4-r) = -12
To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.
With the simplified expression, you can solve for r.
Subtract 6 from both sides then divide by -1.5.
-1.5r=-18
r=12
Meg the Stallion placed 8 books on each shelf of a bookcase. If she shelves 32 books. How many shelves are needed?
Answer:
Meg thee Stallion would need to borrow 4 shelves from Cardi B
Answer:
4 shelves
Step-by-step explanation:
you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.
The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter
What is the product of:
200 x 32.6.
Answer:
6,520
Step-by-step explanation:
Because that is the answer when you multiply them together.
Answer:
6,520
Hope this helps!
Which graph represents a proportional relationship
Answer:
First One.
The first one is going up and the second one is going down. (Really don't know how to explain this I just looked at it and saw...)
Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each
ticket costs $15, how much money did Mr. McDonald’s students raise?
Answer:
6000 dollars
Step-by-step explanation:
25x16x15
Lucy spent $22.80 on Halloween candy. Tax is 5%. How much will she spend total including tax?
Answer:
23.94
Step-by-step explanation:
Before Tax Price: $22.80
Sale Tax: 5.00% or $1.14
After Tax Price: $23.94
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
The answer is 315 inches
Step-by-step explanation:
180+75%
Answer:315
Step-by-step explanation:
Can someone please help me, i've just been sitting here trying to figure this out. please help me
Answer:
A) y=0.45x + 2.9
B) the plant grows 0,45 inches per day
C) the height and the number of days are highly related
D) 5.55
Step-by-step explanation:
Am in a rush sorry lol don’t have time to explain
3. Find f(2) given f(x)=3x^2+ 2x + 16
Answer:
32
Step-by-step explanation:
f(2)=3(2)^2+2(2)+16
f(2)=12+4+16
f(2)=32
The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?
Answer: The answer is a decimal.
Step-by-step explanation:
please help meeeeeeeeeeeee
Answer:
x=75
Step-by-step explanation:
The total degrees of a pentagon is 540
120+120+2(75)+75+75
120+120=240
2(75)=150
75+75=150
240+150+150=540
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Answer:
The side lengths of the tile are 8 Inches and 10.5 Inches.
Step-by-step explanation:
Perimeter of a parallelogram = 2(a + b)
Let
a = shorter side
b = longer side
b = a + 2.5 inches
The perimeter of each tile is 37 inches
Perimeter of a parallelogram = 2(a + b)
37 = 2{a + (a + 2.5)}
37 = 2{a + a + 2.5}
37 = 2(2a + 2.5)
37 = 4a + 5
37 - 5 = 4a
32 = 4a
Divide both sides by 4
a = 32/4
= 8
a = 8 inches
b = a + 2.5 inches
= 8 + 2.5
= 10.5 inches
b = 10.5 inches
The side lengths of the tile are 8 Inches and 10.5 Inches.
Rewrite 7/2+ 14/25 as a single decimal.
Answer:
4.06
Step-by-step explanation:
7/2+14/25 Change into decimals
3.5+0.56 Add together
=4.06
hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?
Answer:
First we need to express y in this inequality:
-2y > -4x + 20
-y > -2x + 10
y < 2x - 10
The line isn't solid because the "less" sign doesn't include equal in it.
Because the sign is "less than" the shaded part is Below the line.
Merging these 2 conclusion we get the answer:
below the dashed line.
Step-by-step explanation:
Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
What is the slope of the line through (2,-2)and(9,3)?
Answer:
5/7
Step-by-step explanation:
y2-y1/x2 -x1
3 - (-2)/9-2
3+2/9-2
5/7
Answer:
M=5/7Step-by-step explanation:
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Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
Answer:
The range is 40 and the midrange is 20.
For the given number, the range is 40 and the midrange is 20. Option C is correct.
Given that,
42, 20, 36, 51, 60, 28,
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40
Midrange = 40 / 2 = 20
Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.
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Someone please help me with this geometry question
Answer:
Step-by-step explanation:
-7x + 12 + (-8x + 48) = 180
-15x + 60 = 180
-15x = 120
x = -8
m<BDC= -7(-8)+ 12 = 56 + 12 = 68
m<CBA = -8(-8)+48 = 64+48 = 112
Answer:
x=-8
mbdc=68
Step-by-step explanation:
bda is a straight angle
=> bdc+cda=180°
=> (-7x+12)°+(-8x+48)°=180°
=> -15x+60=180°
=> -15x=120°
=> x=-8
bdc= (-7)×(-8)+12=68°
Divide: 2 ÷ 1/2
A. 2
B. 16
C. 8
D. 4
Answer:
D
Step-by-step explanation:
hope this helps :)
if this did help, mark me brainliest
SOLVE. |y - z| when y=7, z= 11
please help I am super confused and im in the middle of the test
Answer:
[tex]y - z \\ = 7 - 11 \\ = - 4[/tex]
It took the Hendersons 6 1/4 hours to
travel 325 miles.
At this rate, how many miles could they
travel in one hour?
Answer:
52 miles
Step-by-step explanation:
They drive 325 miles in 6 1/4 hours. Convert 6 1/4 to 6.25 and divide. 325/6.25= 52 mph
The sale price of every item in a store is 85% of its usual price. The usual price of a backpack is $30, what is its sale price? The usual price of a sweatshirt is $18, what is its sale price? The usual price of a soccer ball is $24.80, what is its sale price?
Answer:
Backpack: $5.50
Sweatshirt: $3.70
Soccer Ball: $3.72
Step-by-step explanation:
To find sale prices, you multiply the original price by the sale percentage. Once you have that answer, you subtract it from the original price.
For this problem, you have to multiply every number by .85 which is the decimal for of 85%.
.85*30=25.50
30-25.50=$5.50
.85*18=15.30
18-15.30=$3.70
.85*24.80=21.08
24.80-21.08=$3.72
Answer: The sale price of the backpack is $4.50. The sale price to a sweatshirt is $2.70 The sale price to the soccer ball is $3.72
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 18 × 85/100
Discount = 18 x 0.85
You save = $15.30
Final Price = Original Price - Discount
Final Price = 18 - 15.3
Final Price = $2.70
Discount = Original Price x Discount %/100
Discount = 30 × 85/100
Discount = 30 x 0.85
You save = $25.50
Final Price = Original Price - Discount
Final Price = 30 - 25.5
Final Price = $4.50
Discount = Original Price x Discount %/100
Discount = 24.8 × 85/100
Discount = 24.8 x 0.85
You save = $21.08
Final Price = Original Price - Discount
Final Price = 24.8 - 21.08
Final Price = $3.72
pls help d ⋅ 24 = -12
d =?
Answer:
d = -0.5
Step-by-step explanation:
Original equation:
24d = -12
Divide both sides by 24
d = -0.5
Hope this helps :)
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Answer:
-0.5
Step-by-step explanation:
-12/24=-0/5 and ur left with d
how to multiply 4 x 800 - VALIDS
Answer:
4x800= 3,200
Step-by-step explanation: