Answer:
x=6
Step-by-step explanation:
4x-15=2x-3
+15 +15
4x=2x=12
/2 /2 +12
2x=12
/2 /2
x=6
Answer:
#1:
[tex]4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15[/tex]
#2:
Part 1: Solve for x
[tex]6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8[/tex]
Part 2: Plug in x for PQ
[tex]6(8) - 7\\\\48 - 7\\\\41[/tex]
The length of segment PQ is 41.
Part 3: Plug in x for QR
[tex]5(8) + 1\\\\40 + 1\\\\41[/tex]
The length of segment QR is 41.
Part 4: Length of PQ + length of QR = length of PR
PQ + QR = PR
41 + 41 = PR
82 = PR
The length of segment PR is 82.
melody won 8 tokens. Trish won 2 more than 5 times as many tokens as melody. What computation will give the number of tokens Trisha won?
Answer:
8^5 + 2 = Trisha's Tokens
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
8 x 5 +2
Jade used 3/4
yard of fabric to make a scart. Can she make 2 of these scarves with 1 4/5 yards of fabric, and why?
Answer:
Yes she can
Step-by-step explanation:
3/4 = 0.75
1 4/5= 1.8
0.75 x 2 = 1.5 which is less that 1.8 so she can
Two construction contracts are to be randomly assigned to one or more of three firms: I, II, and III. Any firm may receive both contracts. Each contract will yield a profit of $90,000. Assume that firms I and II are actually owned by the same individual. Find the probability distribution of X, the owner's total profit.
Answer:
The owner's total profit is $120,000.
Step-by-step explanation:
Assume that:
X₁ = contract is assigned to firm 1
X₂ = contract is assigned to firm 2
The sample space for assigning the two contracts is:
S = {(I, I), (I, II), (I, III), (II, I), (II, II), (II, III), (III, I), (III, II) and (III, III)}
There are total of 9 possible combinations.
So, the probability of selecting any of the combination is, 1/9.
Compute the probability distribution of X₁ and X₂ as follows:
X₁ P (X₁) X₂ P (X₂)
0 4/9 0 4/9
1 4/9 1 4/9
2 1/9 2 1/9
Compute the expected values of X₁ and X₂ as follows:
[tex]E(X_{1})=\sum X_{1}\cdot P(X_{1})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}[/tex] [tex]E(X_{2})=\sum X_{2}\cdot P(X_{2})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}[/tex]
It is provided that each contract will yield a profit of $90,000.
Compute the owner's total profit as follows:
[tex]\text{Total Profit}=\text{Profit}\times [E(X_{1})+E(X_{2})][/tex]
[tex]=90000\times[\frac{2}{3}+\frac{2}{3}]\\\\=120000[/tex]
Thus, the owner's total profit is $120,000.
choose the ratio that is equivalent to this one 1/7 A. 3/21 B. 14/2 C. 4/11 D. 3/14
Answer:
Step-by-step explanation:
A
2m^2 + 5m + 16 = 8
Solutions: ____
Show work:
Step 1: Equation to complete the square
Step 2: Show work here to find the c-value.
Step 3: Show work here to factor: (Don’t forget the sign of the binomial)
Step 4: Show work for solving for both roots.
Answer:
there is no solution for this equation
Please help!!!
thanks
Answer:
11. 92- corresponding angles theorem
12. 92- vertical angles theorem
13. 88- ???
14. 106- same side interior angles theorem
15. 106- supplementary angles theorem (not sure about the reasoning)
16. 106- supplementary angles theorem (not sure about the reasoning)
Shirley is drawing triangles that have the same area. The base of each
triangle varies inversely with the height. What are the possible base
and height of a second triangle if the first triangle's base is 12 and its
height is 8?
Select one:
a. 120 and 80
b. 10 and 10
c. 60 and 36
d. 16 and 6
Answer:
d. 16 and 6
Step-by-step explanation:
Triangle area = (base × height)/2
A = (8 × 12)/2 = 96/2 = 48
A = (16 × 6)/2 = 96/2 = 48
6 - 8x = 6x - 9x + 11
6-8x=-3x+11
-8x+3x=11-6
-5x=5
x=-1
The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.
Answer:
hi
Step-by-step explanation:
hi i am a gamergirl add me in fortnite xxgamergilxx93_qt
What is y+1 = 4(x - 1) in slope-intercept form?
A. y+ 1 = 4x - 4
B. -4x+y=5
C. y = 4x-5
D. 4x- y=-5
Answer:
C. y = 4x-5Step-by-step explanation:
Slope-intercept form : y=mx+b
[tex]y+1 = 4(x - 1)[/tex]
Expand :
[tex]4(x-1) =4x -4\\\\y+1 =4x-4[/tex]
Collect like terms and simplify
[tex]y=4x -4-1\\\\y=4x -5[/tex]
Find the area of a rectangle with length of 80 inches and width of 17 inches.
Answer:
Step-by-step explanation:
Answer:
length times width
Step-by-step explanation:
80 time 17~
the next model of a sports car will cost 6.8% less than the current model. the current model costs $42,000. how much will the price decrease in dollars? what will be the price of the next model?
Answer:
see below
Step-by-step explanation:
the current model costs $42,000.
next model = 6.8% less than $42,000
find;
1. how much will the price decrease in dollars?
2. what will be the price of the next model?
solution:
1. the price decrease = $42,000 x 0.068
= $2,8562. price of next model = $42,000 - $2,856
= $39,144There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Answer:
ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question
Step-by-step explanation:
match the angle with it's corresponding classification
Answer:
∠TPR = right angle
∠SPQ = acute angle
∠QPT = obtuse angle
Step-by-step explanation:
Right angles are 90°, acute angles are angles less than 90°, obtuse angles are angles more than 90°
what is the answer to 1+1
Answer:
the answer to 1+1 is 2
:) lol
Answer:
2
Step-by-step explanation:
How many days are in 5 years? Correct answer gets brainliest. 2 possible answers
Answer:
1826.21099
Step-by-step explanation:
Answer: 1825 days.
Step-by-step explanation: 365x5=1825
What is 86,503 when written in expanded form
Answer:
80,000 + 6,000 + 500 + 3
Step-by-step explanation:
Expand so that all non-zero digits are by itself. Remember to retain it's place value:
86503 = 80,000 + 6,000 + 500 + 3
~
Find the value of x.
Please help!!
Answer:
5
Step-by-step explanation:
Use the Exterior Angle Theorem.
The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.
In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:
17x - 4 + 8x = 121
First, combine like terms:
17x + 8x - 4 = 121
(17x + 8x) - 4 = 121
(25x) - 4 = 121
Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides of the equation:
25x - 4 (+4) = 121 (+4)
25x = 121 + 4
25x = 125
Next, divide 25 from both sides:
(25x)/25 = (125)/25
x = 125/25
x = 5
5 is your value for x.
~
what ratio is lesa than 7/15
Answer:
2/5=6/15 and that is less so....
Step-by-step explanation:
evaluate. express your answer in simplest form. 7/9 - 2/8 x 4/9
A 20/9
B 5/9
C 2/3
D 48/72
Answer:
2/3
Step-by-step explanation:
[tex] \frac{7}{9} - \frac{2}{8} \times \frac{4}{9} \\after \: simlifying \\ \frac{7}{9} - \frac{1}{9} = \frac{6}{9} = \frac{2}{3} [/tex]
7th grade math help me plzzz
Answer:
11.a) is 15+5.50+3 maybe
11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50
A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.
Answer:
He can buy 8 more apples because 16+6=22-30=8
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20
Negative 4
4
20
Answer:
yes the last person is correct
Step-by-step explanation:
...................................
Answer:
What? lol
Step-by-step explanation:
Answer:
........................?
Step-by-step explanation:
A line passes through the point (-9,8) and has a slope of
-4/3
Write an equation in slope-intercept form for this line.
Answer:
y = -4/3x - 4
Step-by-step explanation:
Given
(x1,y1) = (-9,8)
slope, m = -4/3
Required
Determine the line equation
The equation is of the form
y - y1 = m(x - x1)
Substitute values for y1, x1 and m
y - 8 = -4/3(x - (-9))
y - 8 = -4/3(x + 9)
y - 8 = -4/3x - 12
y = -4/3x - 12 + 8
y = -4/3x - 4
Find the length of the segment...
NEED HELP FOR A TEST tomorrow
Answer:
The length of the segment is 5
The qoutient of 9 3/4 and 5/8?
Answer:
do you mean 9 3/4 divided by 5/8, if so, it gives you 78/5
Step-by-step explanation:
answer:
it is 15 3/5
your welcome
What number is between 0.3 and 7.5
Answer:
3.9?
Step-by-step explanation:
PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.
Answer:
Yes, [tex]2a . 38b = 4a . 19b[/tex]
Step-by-step explanation:
Given
[tex]Expression: 2a.38b[/tex]
Required
Is 4a a factor of the expression?
Analyzing each option.
1.
[tex]2a . 38b = 4a . 19b[/tex]
[tex]76ab = 76ab[/tex]
The above expression is true.
Hence: This option answers the question
For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.
Answer:
First, let's write our equation in a general way.
We know that:
1 cubic foot weighs 80 pounds.
The container weighs 40 pounds.
Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.
We can write this as:
w(n) = 40lb + n*80lb
This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.
You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.
Answer
ok, Just plot the points at (0,40) and (2,200) :))
The sum of 48 and itself, its half and half of the half is added to 18.
Answer:
150
Step-by-step explanation:
This is a word problem which should be tackled accordingly.
The sum of 48 and itself
= 48+48
= 96
It's half and half of its half
= 48/2 and (48/2)/2
= 24+ 24/2
= 24+12
= 36
Is added to 18
= 96+36+18
= 150
From the description above the entire sum is 150.