[tex]2(4x + 3) + 4(3x - 1)[/tex]
[tex] = (8x + 6) + (12x - 4)[/tex]
[tex] = 8x + 6 + 12x - 4[/tex]
[tex] = (8x + 12x) + (6 - 4)[/tex]
[tex] = 20x + 2[/tex]
Answer:
8x+6+12x-4= 0
20x+2= 0
20x=-2
20x/20= -2/20
x= -1/10
Susan gets $12.75 per hour for babysitting. If she babysits for 2.5 hours, how much money will she earn?
Answer:
31.42
Step-by-step explanation:
What is the least common multiple of the two denominators 6/8, 4/32
Answer:
32
Step-by-step explanation:
In a girl's bank, there is a collection of nickels, dimes, and quarters which amounts to $9.50. There are four times as many quarters as nickels, and 3 more dimes than nickels. How many coins of each kind are there?
Answer:
Step-by-step explanation:
Let the amount of nickels be x
Let the amount of dimes be y
Let the amount of quarters be z
If the total collection amounts to $9.50, then;
x+y+z = 9.50 ..... 1
If there are four times as many quarters as nickels, then;
z = 4x .... 2
Also if there are 3 more dimes than nickels then;
y = x+3 .... 3
Substitute 2 and 3 into 1;
x + x+3 + 4x = 9.50
6x = 9.50 -5
6x = 4.50
x = 4.50/6
x = $0.75
Since y = x +3
y = 0.75 + 3
y = $3.75
Also, z = 4x
z = 0.75(5)
z = $3.0
Hence there are
Solve the proportion for X.
0.666/5=х/15 x3
x= 2
x=3
x= 5
x = 10
Answer:
x = 2
Step-by-step explanation:
0.666/5 = (2/3)/5 = 2/15
Therefore, x = 2.
1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5
= 0.4
Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
To learn more about the unitary method visit:
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convert 360m/s to km/h
Answer: 579.36 km/h miles to kilometers
1296 meters to kilometers
Step-by-step explanation: couldnt tell what you meant so both
An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, 30 taxi drivers receive a bottle of the additive to use the next time they fill their gas tank. The drivers then compare their gas mileage with the additive to their gas mileage before the additive was used.
What is the response variable in this scenario?
the age of the car
the 30 cars used in the study
the use of the additive
the gas mileage after the additive is used
Answer:
The answer is D. the gas mileage after the additive is used
Step-by-step explanation:
I got 100% on edg!
Answer:
d
Step-by-step explanation:
edge2o2o
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
All male teachers better dom me rn tell me to stop misbehaving or else
ma'am/sir please this is a Wendy's
The inequality x ≥ -3 is satisfied by point (0, -2). True False
please explain!!
Answer:
true
Step-by-step explanation:
x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3
The solution area is then shaded either to the left of that line or to the right
Look at the point (0, -2); the x-coordinate is zero, which is greater than -3
Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3
A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade.How many girls are in a group that has 16 boys?
Answer:
18 girls I think.
Step-by-step explanation:
What is the area of triangle ABC if a = 10 (degrees), B = 22 (degrees), and C = 70 (degrees) please help me.
A. 454.32 Sq Units
B. 103.37 Sq Units
C. 1.76 Sq Units
D. 17.61 Sq Units
Answer:
D. 17.61 square units
Step-by-step explanation:
To find the area of the ∆ABC, we can apply the formula below:
Area of ∆ABC = ½×a×c×sin(B)
a = 10
c = ??
B = 22°
Let's find c using Sine Rule:
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Where,
a = 10
c = ??
A = 180 - (22 + 70) = 88°
C = 70°
Plug in the values
[tex] \frac{10}{sin(88)} = \frac{c}{sin(70)} [/tex]
Multiply both sides by sin(70)
[tex] \frac{10}{sin(88)} \times sin(70) = \frac{c}{sin(70)} \times sin(70) [/tex]
[tex] \frac{10 \times sin(70)}{sin(88)} = c [/tex]
[tex] 9.4 = c [/tex] (nearest tenth)
✔️Area of ∆ABC = ½×a×c×sin(B)
Plug in the values
Area of ∆ABC = ½ × 10 × 9.4 × sin(22)
Area = 17.61 square units (nearest tenth)
Find the slope of the line in the given graph.
Answer:
option A, 3/4
Step-by-step explanation:
slope / gradient formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the 2 coordinates from the graph
i) (-2,3)
x1 = -2
y1 = 3
ii) (2,6)
x2 = 2
y2 = 6
[tex] \frac{y 2 - y1}{x2 - x1} [/tex]
[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]
[tex] \frac{3}{2 + 2} [/tex]
[tex] \frac{3}{4} [/tex]
Help please.
Which of the following answers has simplified the following expression by combining like terms correctly? 6b - 2a + 9 - b + 5a Group of answer choices
A 7a + 7b + 9
B 3a + 5b + 9
C 17ab
D none of these answers are correct
Answer:
B is the correct answer
Step-by-step explanation:
You have to do 6b- 1b 5b
-2a+5a= 3a
9
Someone please help me
4 (3n-2) is the answer.
Woops. Sorry I had no idea that it said expression (s) instead of expression, but that is one of the answers though.
Answer:
second box fourth box and 5th box
Step-by-step explanation:
What is the domain of the function graphed below? Hurry pls I’m being timed
Help
w(a)=a-1; find w(0)
Answer:
Step-by-step explanation:
w(0) = 0-1
w(0) = 0-1
w(0) = -1
Since w(0), this basically means that a = 0.
So, plug 0 into anywhere a is.
The value of the function w(a) = a - 1 at a = 0 will be negative 1.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
w(a) = a - 1
The value of the function at a = 0 will be
w(0) = 0 - 1
w(0) = - 1
The value of the function w(a) = a - 1 at a = 0 will be negative 1.
More about the value of expression link is given below.
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The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dollars and cents?
(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?
Answer:
9, 54=6r
Step-by-step explanation:
54/6=9 rocks
54=6r
A large rectangle is made by joining three identical small rectangles as shown.
The perimeter of one small rectangle is 21cm. The width of one small rectangle is x cm.
Work out the perimeter of the large rectangle. The final line of your answer should be the form, perimeter of large rectangle is ...cm
Answer: 35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
Step-by-step explanation:
can u pls help me with this question
help asaap dont use me for points please
Answer:
-1.5
Step-by-step explanation:
You were on the free points page
Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?
Answer: $151.20
Step-by-step explanation: 8 percent of 140. Add this number to 140.
[tex]\frac{x}{140} = \frac{8}{100}[/tex]
100x=112
x=11.2
34 divided by 523.6
Answer plz
Answer:
0.0649350649350649
Step-by-step explanation:
Answer: 0.06493506493
Step-by-step explanation:
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.
Answer:
93.83%
Step-by-step explanation:
2350 - 1200 = 1150
1150/1200 * 100 = 95.83%
7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy
Find f(-2) for f(x) = 3•2^x.
A. 1/36
B. 3/4
C. -12
D. -36
Answer:
B.3/4
I tried looking for an answer but someone just answers my question and didn’t even write anything it was blank, so I just guessed :/
Step-by-step explanation:
There were 350 apples on the tree in March. By September there were 420 apples on the tree. What was the percentage of change of apples on the tree? Round your answer to the nearest tenth.
Answer:
them some fast growing apples
Step-by-step explanation:
realy
1. An iPhone is on sale for $780. It originally cost $1000.00. What is the percent of change?
Answer:
your answer is going to be 220.