Subtract 5r - 2 from -3r + 4
Answer:
-8r+2
Step-by-step explanation:
-3r + 4 - 5r - 2
Combine like terms
-8r+2
Answer:
negative 0.86
Step-by-step explanation:
what is the area of the triangle shown below?
Answer:
68
Step-by-step explanation:
The formula for finding the are of a right triangle is
A= 1/2bh
( area = base times height divided by 2)
17 is the base and 8 is the height, 8*17=136
136÷2=68
48 tulips are planted in this repeating pattern: red, pink-red, yellow what color is the 24th tulip?
Answer:
red
Step-by-step explanation:
A high school graduating class is made up of 440 students. There are 168 more girls than
boys. How many boys are in the class?
I
Answer:
272
Step-by-step explanation:
calculator
If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Answer:
[tex]x=9, AB=BC=AC=35[/tex]
Step-by-step explanation:
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that [tex]AB=BC=AC[/tex]. We are given the lengths of all 3 sides in terms of [tex]x[/tex], but we only need to set two of them equal to each other to solve for [tex]x[/tex]. Let's use [tex]AB[/tex] and [tex]BC[/tex] to solve for [tex]x[/tex]. We know that [tex]AB=BC[/tex], [tex]AB=2x+17[/tex], and [tex]BC=6x-19[/tex]. Therefore, we can write the following equation to solve for
[tex]AB=BC\\2x+17=6x-19[/tex] (Substitute given values into equation)
Solving for [tex]x[/tex], we get:
[tex]2x+17=6x-19\\2x+17-17=6x-19-17[/tex] (Subtract [tex]17[/tex] from both sides of the equation to isolate constants)
[tex]2x=6x-36[/tex] (Simplify)
[tex]2x-6x=6x-36-6x[/tex] (Subtract [tex]6x[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-4x=-36[/tex] (Simplify)
[tex]\frac{-4x}{-4}=\frac{-36}{-4}[/tex] (Divide both sides of the equation by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=9[/tex] (Simplify)
Therefore, [tex]AB=2x+17=2*9+17=18+17=35[/tex], and [tex]AB=BC=AC=35[/tex]. Hope this helps!
3/4+2/3=
5/7+1/2=
Answer....
Answer:
[tex]1 \frac{5}{12} [/tex]
[tex] 1\frac{3}{14} [/tex]
Write the ratio as a fraction in simplest form. 1000 songs : 2 megabytes
.
Answer:
1000:1000000
Or,
1:1000
1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for
$28 each and then some plain t-shirts for $15 each. If she bought a total of 7 shirts,
then how many of each type of shirt did she buy?
problem #1
problem #2
Answer:
Kristen bought 2 fancy shirts and 5 plain t-shirts.
Step-by-step explanation:
Given that,
Kristen spent $131 on 7 shirts.
Cost of one fancy shirt = $28
Cost of one plain t-shirt = $15
Let,
x be the number of fancy shirts
y be the number of plain t-shirts
x+y = 7 Eqn 1
28x+15y=131 Eqn 2
Multiplying Eqn 1 by 15
15(x+y=7)
15x+15y=105 Eqn 3
Subtracting Eqn 3 from Eqn 2
(28x+15y)-(15x+15y)=131-105
28x+15y-15x+15y=26
13x=26
Dividing both sides by 13
[tex]\frac{13x}{13}=\frac{26}{13}\\x=2[/tex]
Putting x=2 in Eqn 1
2+y=7
y=7-2
y=5
Hence,
Kristen bought 2 fancy shirts and 5 plain t-shirts.
Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
Which of the following is the solution to this system of equations below?
y = 3x + 2
y = x
Answer:
(x,y)=(-1,-1)
Step-by-step explanation:
hope this helps!
Solve the inequality. 9x − 4 > 95
Answer:Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :
9*x-4-(95)≥0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
9x - 99 = 9 • (x - 11)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 9
Solve Basic Inequality :
2.2 Add 11 to both sides
x ≥ 11
Inequality Plot :
2.3 Inequality plot for
9.000 X - 99.000 ≥ 0
One solution was found :
x ≥ 11
Step-by-step explanation:
Questions and problems, down below (:
Can someone help me plz??????
Answer:
0.37 rad m
Step-by-step explanation:
Answer:
14.66 inStep-by-step explanation:
Arc length formula:
s = rθ*2π/360We have:
r = 6 in and θ = 140°Finding the length of arc AB:
s = 6*140*2π/360 = 14.66 inThe side length of an equilateral triangle is 6x - 12. Write an expression for the perimeter of the triangle in simplest form.
Answer:
18x - 36
Step-by-step explanation:
In an equilateral triangle the 3 sides are congruent, then
perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms
= 18x - 36
The required expression would be 18x - 36 for the perimeter of the triangle in simplest form.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
As we know in an equilateral triangle the 3 sides are congruent.
The perimeter of the triangle = 6x - 12 + 6x - 12 + 6x - 12
Combine the likewise terms and we get
The perimeter of the triangle = 18x - 36
Therefore, the required expression would be 18x - 36 for the perimeter of the triangle in simplest form.
Learn more about the perimeter of a triangle here:
brainly.com/question/24388271
#SPJ6
In a school 35% of 280 students bring lunch from home. How many students is that?
Answer: 98
Step-by-step explanation:
What number makes the equation true? Enter the answer in the box.
7x
= 21
Pls help
Answer:
3
Step-by-step explanation:
21/7=3
what is the answer?
Answer:
f(-3)= -18
Step-by-step explanation:
f(-3) basically means x=-3 so just substitute with that
f(-3)= 2(-3)³+4x²
= -54+36 = -18
Find the solution of the system of equations.
2x + 4y = -16
–2x+2y = -2
Submit Answer
Please help me.
Answer:
x=-2 and y=-3
Step-by-step explanation:
2x+4y=-16
-2(-2x+2y=-2)
2x+4y=-16
4x-4y=4
6x=-12
x=-2
2x+4y=-16
2(-2)+4y=-16
-4+4y=-16
+4 +4
4y=-12
y=-3
Answer:
x=-2
y=-3
Step-by-step explanation:
2x=-4y-16 subtract 4y and move to the other side of the equation
x=-2y-8 divide by 2 to isolate x
-2(-2y-8)+2y=-2 plug x into the second equation
4y+16+2y=-2 distribute
6y=-18 combine the Y's and subtract 16 to the other side
y=-3 divide both sides by 6
2x+4(-3)=-16 plug the y value into the first equation to find x
2x-12=-16 distribute (multiply)
2x=-4 add 12 to both sides
x=-2 divide by 2 to get the x value
the volume of a cube is 64 inches.what is the length of one side of the cube?
Answer:
4
Step-by-step explanation:
you find it by base x width x height 4x4x4=64
Exponential & Logarithmic Functions
Please Help ASAP! The question is in the picture.
Sam purchases a house for $150,000 near Thurmond Lake. The value of houses in the area where the house was purchased is averaging an increase of 7% per year.
What would be the growth factor (multiplier)?
If the trend continues how much would the house be worth 12 years after Sam purchased the house?
Answer:
What would be the growth factor (multiplier)?
Continuously compounded:
e or 2.718.
Simple interest:
1.84
If the trend continues how much would the house be worth 12 years after Sam
purchased the house?
Continuously compounded:
$347,455.05
Simple interest:
$276,000.00
_______________
Step-by-step explanation:
Which is the scatter plot for the data set
{(1960,3), (1970, 3.5), (1980,5), (1990, 6)}?
6
5
.
6
4
4
ОА.
OD.
3+
of 1970 1990
of 1970 1990
1960 1980
1960 1980
6+
1990+
1980+
1970+
1960+
in m
Ов.
OE.
.
4
3+
09
1 1980 1960
1990 1970
6+
5+
4
Ос.
3
1970 1990
1960 1980
Answer:
1970
Step-by-step explanation:
I NEED HELP ASAP
Compute the correlation coefficient for the data set.
(2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
Nathalie has one large bowl of popcorn. She invite 3 friends over to watch a movie. Her brother takes 1/5 of the popcorn for himself. Nathalie must share the popcorn the rest equally with her friends. How much does does each friend get.
Which value is equivalent to the expression 32 × 33?
Answer:
1,056
Step-by-step explanation:
Answer 32x33=33x32 easy
what value of x makes this equation true 10x-6=3(x+½)
Answer:
x = 15/14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Add 6 to both sides.
Step 4: Divide both sides by 7.
The 4 TH grade is collecting bottled water for field day. They would like to collect 100 bottles. Ava brings 4 packs of 6 and Mason brings 3 packs of 12. How many bottles do they still need?
PLS HELP ILL GIVE BRAINLY: Use the chart above to answer the question below
Which company should you use to rent a lawn mower for 6 hours? Explain.
Answer:
lawns inc.
Step-by-step explanation:
y=10x+15 10(6) + 15 = 75
y=9x+20 9(6) + 20 = 76
Complete the point-slope equation of the line through (-2, 6) and (1, 1).
Use exact numbers.
y - 6 =
Answer: y - 6 = -5/3 ( x + 2)
Step-by-step explanation:
slope = -5/3
point on line = (-2, 6)
The sum of marshall and williams ages is 27 . William is 7 years older than marshall . What is marshall age
Answer:
10
Step-by-step explanation: 17+10=27, 17-10=7
4(x-2)/5 = 20
(Yes that’s a fraction)
Solving for x
Answer:
x=27
Step-by-step explanation:
Step 1: Multiply both sides by 5.
4(x−2)
5=20
(4(x−2)*(5)*(5)=(20)*(5)
4(x−2)=100
Step 2: Simplify both sides of the equation.
4x−8=100
Step 3: Add 8 to both sides.
4x−8+8=100+8
4x=108
Step 4: Divide both sides by 4.
4x/4=108/4
x=27
Step-by-step explanation:
(x-2)/5 = 5
(x-2) = 25
x = 27