Answer:
B= -3
Step-by-step explanation:
Move the terms that do not contain b to the right then solve. Hope this helps!
Answer:
[tex]\large \boxed{{b=-3}}[/tex]
Step-by-step explanation:
[tex]-11b +7=40[/tex]
Subtract 7 from both sides.
[tex]-11b +7-7=40-7[/tex]
[tex]-11b=33[/tex]
Divide both sides by -11.
[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]
[tex]b=-3[/tex]
Find an equation of the line with x-intercept 8 and y-intercept 4
Answer:
y = -1/2x + 4
Step-by-step explanation:
We have two points ( 8,0) and ( 0,4)
We can find the slope
m =(y2-y1)/(x2-x1)
= (4-0)/(0-8)
4/-8
-1/2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/2x + 4
Answer:
Step-by-step explanation:
eq. of line with intercepts a and b is
[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]
given a right-angled triangle with area 30 square centimeters and one of the legs of the right-angled triangle has 5cm, of the sum of the altitudes of the triangle can be expressed as a/b where gcd(a,b)=1. find a+b.geometry
Answer:
See explanation
Step-by-step explanation:
If A = 30 = 1/2ab = 1/2(5)(b)
60 = 5b
b = 12
a/b = 5/12
a + b = 5 + 12 = 17
Answer:
See explanation
Step-by-step explanation:
If A = 30 = 1/2ab = 1/2(5)(b)
60 = 5b
b = 12
a/b = 5/12
a + b = 5 + 12 = 17
type in symbols to make 3,7,12,2 equal 45
Answer:
The answer is (3×7) + (12×2) .
[tex](3 \times 7) + (12 \times 2)[/tex]
[tex] = 21 + 24[/tex]
[tex] = 45[/tex]
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
21.0 m^2
9.8 m^2
19.6 m^2
10.5 m^2
Answer:
10.5 m²
Step-by-step explanation:
Given:
∆ with 2 side lengths, 4.7m, 6.1m, and an included angle, 47°.
Required:
Area of the triangle
SOLUTION:
Area of such triangle that has 2 known sides and an included angle between them is given as ½*a*b*sin(θ).
Where,
a = 4.7 m
b = 6.1 m
θ = 47°
Area = ½*4.7*6.1*sin(47)
Area = 10.5 m² (to the nearest tenth)
Cam’s tent (shown below) is a triangular prism.
Find the surface are, including the floor of his tent
PLEASE HELP
Answer:
21.4 m²
Step-by-step explanation:
To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.
Let's start with the triangles. The area of any triangle is [tex]\frac{bh}{2}[/tex]. The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.
[tex]\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7[/tex]
So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:
[tex]1.7\cdot2=3.4[/tex]
Now let's find the area of the sides.
The side lengths are 2 and 3, so
[tex]2\cdot3=6[/tex], and there are 3 sides (including the bottom/floor) so [tex]6\cdot3=18[/tex].
Now we add.
[tex]18+3.4=21.4[/tex] m².
Hope this helped!
Answer: 21.4 square meters^2
Step-by-step explanation:
Consider the following system of equations: y=2x−2 6x+3y=2 The graph of these equations consists of two lines that: 1. intersect at more than one point. 2. intersect in an infinite number of points. 3. intersect at exactly one point. 4. do not intersect.
Answer:
3. Intersect at exactly one point. ( (2/3), (-2/3) )
Step-by-step explanation:
To make the comparison of these lines easier, let's rewrite the 2nd equation into slope-intercept form, as the 1st equation is in slope-intercept form.
[1] y = 2x - 2
---------------------
[2] 6x + 3y = 2 ==> 3y = 2 - 6x ==> y = -2x + (2/3)
[2] y = -2x + (2/3)
So now that we have both equations in slope-intercept form, we can see that the two equations are both linear, have different slopes, and have different y-intercepts.
Since these equations have both different slopes and different y-intercepts, we know that the lines will cross at least one point. We can confirm that the lines only cross at a single point using the fact that both equations are linear, meaning there will only be one point of crossing. To find that point, we can simply set the equations equal to each other.
y = 2x - 2
y = -2x + (2/3)
2x - 2 = -2x + (2/3)
4x = (8/3)
x = (8/12) = (2/3)
And plug this x value back into one of the equations:
y = 2x - 2
y = 2(2/3) - 2
y = (4/3) - (6/3)
y = (-2/3)
Thus these lines only cross at the point ( (2/3), (-2/3) ).
Cheers.
Answer:
I don't understand the question
20. A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?
Answer:Conversion units
Step-by-step explanation: 1 ft^3= 0.028m^3 .: 1440ft^3=40.776m^3, so $1.75x40.776=$71.358~ $71.36.:
Answer:
$71.36
Step-by-step explanation:
1 foot = 0.3048 metros
1 cubic feet = (0.3048metros)³ = 0.02932 cubic meters (aprox.)
1440 cubic feet = 1440*0.02932 = 40.7763 m
$1.75 por cubic meter:
1.75*40.7763 = $71.36
Represents the solution to the inequality -9=2/3x-7<5
Answer:
-3=x <13
Step-by-step explanation:
[tex] - 9 = \frac{2x}{3} - 7 < 5[/tex]
Multiply through by 3
[tex] - 27 = 2x - 21 < 15[/tex]
Add 21 to all sides
[tex] - 6 = 2x < 36[/tex]
Divide through by 2
[tex] - 3 = x < 18[/tex]
The solutin set is
[tex]{- 3 = x < 18}[/tex]
on a map the distance between rip and Janeiro Brazil and San Jose Costa Rica is 4 inches.the scale on the map shows that 1 inch=200 miles ,or if you write it as a ratio.. how would set up a proportion if you want to figure out how many miles it is form Rio de Janeiro to San jose.?
Answer:
The way a proportion is set is as follows;
[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]
The Distance from Rio de Janeiro and San Jose Costa Rica is then found as 800 miles
Step-by-step explanation:
The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches
The map scale = 1 inch to 200 miles
To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;
[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]
Therefore, we have;
(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica
Which gives;
Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.
I need hellp please its my last chance to become a senior please someone
Answer:
d= 6
r= 6/2
r=3
V= π. r². h
V= π . 3². 14
V= π. 9 . 14
V= π 126 cm³
V= 126 π cm³ (π not in number)
hope it helps^°^
Answer:if you use the formula it is 126 pi cm cubed
The answer is c
Step-by-step explanation:
What is [tex]3^2*3^5[/tex]?
Answer:
[tex]3^7[/tex]
Step-by-step explanation:
[tex]3^2*3^5[/tex]
[tex]\text {Apply Product Rule: } a^b+a^c=a^{b+c}\\\\3^2*3^5=3^{2+5}=3^7[/tex]
how do you solve 2m-10=44+8m
Answer:
m = -9
Step-by-step explanation:
2m-10=44+8m
Subtract 2m from each side
2m-2m-10=44+8m-2m
-10 = 44+6m
Subtract 44 from each side
-10-44 = 44-44+6m
-54 = 6m
Divide by 6
-54/6 = 6m/6
-9 = m
Answer:
solve by solving the salvation for equation don't be a slave get educated from what's gave
I need help with these 2 questions. PLZZ help!!!
Answer:
Step-by-step explanation:
if x is the bill and y is the tip ten
x+y>14.50
x<2 and x≤ 2
when the sign is< then the dot has to be clear , because 2 does not count and x is less than 2 and not equal to 2
when the sign is ≤ the dot on the graph is solid which represent the equal to.
represent 1/3 and 5/2 on the same number line
Answer:
Picture below
Step-by-step explanation:
● 5/2 is 2.5 so just divide the space between 3 by 2
● for 1/3 divide the space between 0 and by 3
What roles did militias play in the American Revolution? Your answer:
Hey there! I'm happy to help!
A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
I hope that this helps! Have a wonderful day! :D
If an octagon is 24, how many is a pentagon?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
If an octagon is 24, how many is a pentagon?
Ans : Pentagon has 5 sides.
( A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides. The names of polygons are derived from the prefixes of ancient Greek numbers. )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The pentagon is 15, when octagon is 24.
What is Polygon?
A polygon is a figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).
Polygon with 8 sides known as Octagon and polygon with 5 sides known as Pentagon.
Here, given that, Octagon = 8 sides = 24
So, 1 side= 3
Then, we get, pentagon = 5 sides = (5×3) = 15
Hence, the pentagon is 15.
To learn more on Polygon click:
https://brainly.com/question/15324224
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15 lwholes 5 over 8 % of a number is 555 find the number
Answer:
The number is 3,552
15⅝% of 3,552 is 555
Step-by-step explanation:
15⅝% of a number is 555.
To determine what number it is, let the number be x.
Thus,
15⅝%*x = 555
[tex] \frac{125}{8}*\frac{1}{100}*x = 555 [/tex]
[tex] \frac{125}{800}*x = 555 [/tex]
[tex] \frac{125*x}{800} = 555 [/tex]
Multiply both sides by 800
[tex] \frac{125*x}{800}*800 = 555*800 [/tex]
[tex] 125*x = 444,000 [/tex]
Divide both sides by 125
[tex] \frac{125*x}{125} = \frac{444,000}{125} [/tex]
[tex] x = 3,552 [/tex]
The number = 3,552
15⅝% of 3,552 is 555
SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?
Answer:
+$120 - $36
Higher by $84
Step-by-step explanation:
Addition expression is an equation without the equals to sign
$120 - $36
When the first expression was made, the account was higher by $120
After the second transaction, the account would be higher by $120 - $36 = $84
MATHEMATICS
Algebra
Simultaneous Equations
1. 5u + 2v=7
2u - 2v=7
2. 3x - 4y=19
4x - 5y=23
Answer:
1. u = 2, v = -1.5
2. y = -7, x = -3
Step-by-step explanation:
1) For the following simultaneous equation, we have;
5·u + 2·v = 7....................(1)
2·u - 2·v = 7......................(2)
Adding equation (1) to equation (2), gives;
5·u + 2·v + 2·u - 2·v = 14
5·u + 2·u + 2·v- 2·v = 14
7·u = 14
u = 14/7 = 2u = 2
u = 2
From equation (1), we have;
5·u + 2·v = 7 substituting u = 2 gives;
5×2 + 2·v = 7
2·v = 7 - 5×2 = 7 - 10 = -3
v = -3/2 = -1.5
v = -1.5
2.
3·x - 4·y = 19....................(1)
4·x - 5·y = 23.......................(2)
Multiplying equation (1) by 4 and equation (2) by 3 gives;
For equation (1)
4 × (3·x - 4·y) = 4 ×19
12·x - 16·y = 76...........................(3)
For equation (2)
3 × (4·x - 5·y) = 3 × 23
12·x - 15·y = 69...........................(4)
Subtracting equation (3) from equation (4) gives;
12·x - 15·y - (12·x - 16·y) = 69 - 76 = -7
12·x - 15·y - 12·x + 16·y = 69 - 76 = -7
12·x - 12·x - 15·y + 16·y = -7
y = -7
Substituting the value of y = -7 in equation (1), we have;
3·x - 4·y = 19 = 3·x - 4×(-7) = 19
3·x - 4×(-7) = 19
3·x + 28 = 19
3·x = 19- 28 = -9
x = -9/3 = -3
x = -3.
A player has 15 hits in 34 times at bat and then gets another hit. Did the batting average increase explain
AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A
Answer:
? = 4.73
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp / hyp
sin 25 = 2 / ?
? sin 25 = 2
? = 2 / sin 25
? =4.732403166
To the nearest hundredth
? = 4.73
The largest circular shape my piece of string can form has a diameter of 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?
Answer:
4 cm long
Step-by-step explanation:
since the original diameter was 8cm long we need to cut 8 in half. this leaves us with 4cm which is the diameter of the largest circular shape that half piece can form.
Learn more:
Diameter: brainly.com/question/5501950
1. Solve each equation.
a. 5x – 2=8
b. 4x – 3= 2x + 9
C. 6x + 3 = 2x + 8
And show work
Answer:
a. 5×=8+2
5×=10
b. 4×-2×=9+3
2×=13
c. 6×-2×=8-3
4×=5
I need help asap!!!
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
last option
Step-by-step explanation:
Let's call the original angle x° and the radius of the circle y. The area of the original sector would be x / 360 * πy². The new angle, which is a 40% increase from x, can be represented as 1.4x so the area of the new sector is 1.4x / 360 * πy². Now, to find the corresponding change, we can calculate 1.4x / 360 * πy² ÷ x / 360 * πy² = (1.4x / 360 * πy²) * (360 * πy² / x). 360 * πy² cancels out so we're left with 1.4x / x which becomes 1.4, signifying that the area of the sector increases by 40%.
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
134
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
x = 1/2 ( m DH + m BC)
x = 1/2 (144+ 124)
x = 1/2 ( 268)
x = 134
Two co-interior angles
formed between the
two parallel lines are in the ratio of 11.7.
Find the measures
of angles
Answer:
110° and 70°
Step-by-step explanation:
The angles are supplementary, thus sum to 180°
sum the parts of the ratio, 11 + 7 = 18
divide 180° by 18 to find the value of one part of the ratio
180° ÷ 18 = 10° ← value of 1 part of the ratio
Thus
11 parts = 11× 10° = 110°
7 parts = 7 × 10° = 70°
The angles are 110° and 70°
the cube root of 2 to the seventh power
Answer:
4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal
Step-by-step explanation:
Simplify the following:
(2^(1/3))^7
Hint: | For all a>=0, (a^(1/3))^m = a^(m/3). Apply this to (2^(1/3))^7.
Multiply exponents. (2^(1/3))^7 = 2^(7/3):
2^(7/3)
Hint: | Separate the exponent of 2^(7/3) into integer and fractional parts.
2^(7/3) = 2^(6/3 + 1/3) = 2^(6/3)×2^(1/3):
2^(6/3) 2^(1/3)
Hint: | Divide 6 by 3.
6/3 = (3×2)/3 = 2:
2^2 2^(1/3)
Hint: | Evaluate 2^2.
2^2 = 4:
Answer: 4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal
Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p, if x=-4 and y=-6
Answer:
When x = -4 and y = -6, p = 37.75
Step-by-step explanation:
Given that p = x² - y²/x² + x·y, we have;
p = (x² × x² -y² + x·y×x²)/x²
p = (x²⁺² - y² + x¹⁺² × y)/x²
p = (x⁴ - y² + x³·y)/x²
Therefore, p in the simplest form is given as follows;
[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]
To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;
[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]
Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.
X-5y=-15x−5y=−15x, minus, 5, y, equals, minus, 15 Complete the missing value in the solution to the equation. (-5,(−5,left parenthesis, minus, 5, comma ))
Answer:
The missing value is 2. The coordinate will be (-5, 2)Step-by-step explanation:
The question is not properly written. Find the correct question below.
If x – 5y = -15 . Complete the missing value in the solution to the equation (-5, ____)
Let the coordinate of the variables be (x, y). Comparing the coordinates (x, y) with the given coordinate (-5, __), we will discover that x = -5. To get the y coordinate, we will substitute x = -5 into the given expression as shown;
If x – 5y = -15
-5 - 5y = -15
Adding 5 both sides
-5-5y+5 = -15+5
-5y = -10
Dividing both sides by -5;
-5y/-5 = -10/-5
y = 2
Hence the missing value in the solution of the equation is 2. The coordinate will be (-5, 2)
Answer:
2
Step-by-step explanation:
I did the khan :)