Answer:
21 + 3x
Step-by-step explanation:
Use Distributive property: a(b + c) =(a *b) + (a*c)
3( 7 + x)= 3*7 + 3*x
= 21 + 3x
Factor the expression using the GCF 16x - 36
Answer:
4(4x−9)
Step-by-step explanation:
Find the volume of the box
3ft
5ft
6ft
Answer:
90ft^3
Step-by-step explanation:
Zero and Negative Exponents 4-30=_
Answer:
-26
Step-by-step explanation:
4-30=-26
Pietro is measuring the thickness of his favorite books. He rounds his measurements to the nearest \dfrac{1}{8} 8 1 start fraction, 1, divided by, 8, end fraction inch and records the information on the line plot below. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. What is the total thickness of the two thickest books? \text{ inches} inches
Answer:
3 6/8
Step-by-step explanation:
im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL
i need help on this 6th grade math problem
Answer: x<17.5
Step-by-step explanation:
Subtract from both sides: x+2.5-2.5<20-2.5
Simplify the arithmetic: x<20-2.5
Simplify the arithmetic: x<17.5
Hope it helps!
Answer: B) 12.5
Step-by-step explanation:
Start by isolating x by subtracting 2.5 from both sides
[tex]x+2.5 < 20\\x+2.5-2.5 < 20-2.5\\x < 17.5[/tex]
This reads as "x is less than 17.5"
D can be eliminated because it is greater than 17.5
C can be eliminated because 17.5 can't be less than itself
So the answer must be B since it is less than 17.5 and greater than A
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
ft²
Step-by-step explanation:
times the number by two
what is 2+2x490+30 divided by 100
Answer:
982.3
Step-by-step explanation:
For a craft project, you select the four packages of modeling clay and the set of tools shown at the right. If there is a 6% sales tax, what is the total cost?
Answer:
13.727
Step-by-step explanation:
Explanation
Given: You choose the four packages of modeling clay and the set of equipment indicated on the right for a creative project.
To find: the total cost if there is a 6% sales tax.
We will calculate the total cost of each item and then add.
Tip
The total cost formula is used to combine the variable and fixed costs of providing goods to determine a total.
The formula is: Total cost = (Average fixed cost x average variable cost) x Number of units produced.
Step 1
The cost of 4 packets of clay is given by:
4 x $2.79
Step 2
We will calculate the product:
4 x 2.79 = 11.16
Step 3
We will add the cost of 4 packets of clay and a pack of tools to get the total cost without tax:
$(11.16 + 1.79)
Step 4
We will add the numbers:
11.16 + 1.79 = 12.95
Step 5
The 6% tax on the total price is given by:
6% x $12.95
Step 6
We will calculate the sales tax:
6/100 x 12.95 = 0.777
Step 7
We will add the total cost without tax and tax amount to get the total amount paid:
$(12.95 + 0.777)
Step 8
We will add the amounts:
12.95 + 0.777 = 13.727
Step 9
YOU ALL DONE!
I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!
help?????????? i don't really know how to answer
Answer:
[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]
Step-by-step explanation:
Given:
Total money Marsha gave = 20$
Total money she received in return = 5.03$
Number of pairs of socks she purchased= 3 pairs
To find: Cost of each pair of socks =?
Solution:
Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,
[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]
Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.
Thanks for joining brainly community!
Answer:
$4.99
Step-by-step explanation:
Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;
⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.
⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99Therefore, the cost for each pair of socks $4.99.
what is the solution to this system of equations?
4x+y=6
x-2y=6
x=2 and y=(-2)
hope it helps...
Answer:
y = ( -2 )
x = 2
Step-by-step explanation:
4x + y = 6 ⇒ ( 1 )
x - 2y = 6 ⇒ ( 2 )
x = 6 + 2y ⇒ ( 3 )
First, let us find the value of y.
For that, we can replace x with ( 6 + 2y ).
Let us use equation 1 for that.
4x + y = 6
4 ( 6 + 2y ) + y = 6
24 + 8y + y = 6
24 + 9y = 6
9y = 6 - 24
9y = -18
Divide both sides by 9.
y = -2
Now let us find the value of x by replacing y with -2.
For that let us take equation 3.
x = 6 + 2y
x = 6 + 2 × -2
x = 6 - 4
x = 2
One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm
Answer:
84 cm, 15 cm
Step-by-step explanation:
Check the attachment.
What is the square root of 2π√a anyone who answers correct will be given BRAINIEST ANSWER
Answer:
Step-by-step explanation:
[tex]\sqrt{2\pi \sqrt{a} } =\sqrt[4]{4\pi ^2a}[/tex]
Answer:
Step-by-step explanation:
Solve the equation 7(x + 4) = -21.
x =
Answer:
-7
Step-by-step explanation:
7(x+4)=-21
x+4=-21/7
x+4=-3
x=-3-4
x=-7
pls help!!! What is the surface area of the pyramid?
Answer:
SA = 224 ft^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 8
H = 10
SA = (B×B) + 4((1/2)×(B×H))
SA = (8×8) + 4((1/2)×(8×10))
SA = 224 ft^2
HELLPP PLEASE ASAP!!!!
Five is to three as thirty is to what number?
5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.
HOW TO COMPUTE SENIOR HIGH SCHOOL GPA
Answer:
Step 1: Convert every letter grade to its respective points (A=4, B=3, C=2, D=1, F=0.)
Step 2: Add up all the grade points.
Step 3: Divide the added grade points (step 2) by the number of class credits taken
Step-by-step explanation:
hope it helps
Santos takes the train into the city five days a week for work. For one work week, he kept track of how many minutes long each train ride was: 48, 51, 48, 48, 50
Calculate the mean, median, range, and midrange of the train ride times for the week.
The mean, median and range of the given data are respectively; 49, 48 and 3.
How to calculate mean, median and range?Formula for mean is;
Mean = Total sum/sample size
Total sum = 48 + 51 + 48 + 48 + 50
Total sum = 245
Sample size = 5
Mean = 245/5
Mean = 49
To get the median, we arrange in ascending order and pick the mid term.
48, 48, 48, 50, 51
Median is mid term which is 48.
Range is difference between highest and lowest term.
Range = 51 - 48
Range = 3
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what is the correct answer for (1\2) to the third power
Answer:
0.125, 1/8
Step-by-step explanation:
0.5*0.5 = 0.25
0.25 * .5 = 0.125
0.5*0.5*0.5 = 0.125
What is the measure of each angle in the circle?
36°
40°
45°
60°
Answer:
45 degrees
Step-by-step explanation:
360 degrees is a whole circle, and there are 8 slots
360 / 8 = 45
What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. ( Show your work). Will Only Mark Brainliest if answered correctly and No resharing another students answer from brainly or any other websites or you'll be reported.
Answer:
Area = 21.7 cm² (nearest tenth)
Step-by-step explanation:
A 30-60-90 triangle is a special right triangle. The measures of its sides have a special relationship in that they are in proportion:
shortest leg : longest leg : hypotenuse = 1 : √3 : 2
The side opposite 30° is the shortest legThe side opposite 60° is the longest leg and is √3 times the length of the shorter leg. The side opposite 90° is the hypotenuse and is twice the length of the shorter leg.So we can also write the ratio as [tex]x : x\sqrt{3} : 2x[/tex] where [tex]x[/tex] is the shortest side.
From inspection of the diagram, the shortest side is 5 cm
⇒ BC (height) = 5 × √3 = 5√3 cm
Now we have the height, we can calculate the area.
Area of a triangle = 1/2 x base x height
= 1/2 x 5 x 5√3
= 21.7 cm² (nearest tenth)
The rectangular prisms below are filled with fractional unit cubes. Place the rectangular prisms in order from greatest volume to least volume.
Answer:
b - c - a
Step-by-step explanation:
Volume of each cube x number of cubes = total volume
a ) (3 * 2 * 6) * (1/4 )^3 = .5625
b) (2 * 3 ) * (1/2)^3 = .75
c) ( 8 * 4 * 11) * (1/8)^3 = .6875
The representation of the volume of the prism in greatest to least volume is third > first > second.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
As per the given cuboid prism.
The volume of the cuboid = length × height × width.
First cube = 1/4 x 3 x 6 x 2 = 9 units³
Second cube = 1/2 x 2 x 3 x 1 = 3 units³
Third cube = 1/8 x 8 x 11 x 4 = 44 units³
So, 44 > 9 > 3.
Hence "The representation of the volume of the prism in greatest to least volume is third > first > second".
To learn more about volume,
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Each day, Mr. Bowman selects a piece of paper from a bag to determine whether
plece: walk or backyard. Mr. Bowman's students pulled a piece of paper from the bag
results.
Answer : Backyard
Step-by-step explanation:
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
How much is the family spending all at the fair?
Answer:
$18.50
Step-by-step explanation:
because there are 6 people, to find out the total discount, we do:
2.50 x 6 = 15
This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is
96 + 15 = 111
Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:
$18.50
Hope this helps! If you have any further questions, let me know!
- profparis
Vanessa wants to play a video game that charges .12 a minute. If ahe has 15.00 to spend how many minutes can she play at most
Answer:
125
Step-by-step explanation:
15/12 you get 125. Then multiple it by 100 and you get 125.
The production costs, C, in thousands of dollars, for an
energy drink company to manufacture cans of energy
drink is given by the model C(x) = 50 +3.8x -0.0038x^2,
where x is the number of cans of energy drinks produce
in one day, in thousands. The company wants to keep i
production cost at or below $781.12.
Given that x is an element of a subset of the integers,
which of the following constraints satisfy the domain of
C(x)?
The answer choices are in the picture.
If the company wants to keep its production costs under $781.12 a reasonable domain for the constraint x is -12.9892≤ x ≤ 1012.99.
What are constraints?A constraint is a condition of an optimization problem that should be satisfied the condition.
Let x is an element of a subset of the integers,
C(x) is the production cost, in thousands of dollars
[tex]C(x) = 50 +3.8x -0.0038x^2,[/tex]
This is a vertical parabola open downward (the leading coefficient is negative)
we know that
For the interval [-12.9892, 1012.99] = -12.9892≤ x ≤ 1012.99
The value of C(x) = C(x) < 781.12
That means the production cost is under $781.12
Remember that the variable x (number of tires) cannot be a negative number.
If the company wants to keep its production costs under $175,000 a reasonable domain for the constraint x is -12.9892≤ x ≤ 1012.99
Learn more about constraints;
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find the matrix or -2A + 7B
Answer:
matrix is 1 x 2
Step-by-step explanation:
The order, or dimension, of a matrix is the number of rows and columns that a matrix has. By convention, rows are listed first; and columns, second.
Answer: boo i scareed you
Step-by-step explanation:
Which is a characteristeric of an effective problem statement
in a promotion at a local diner ever twelfth customer will get a free hamburger and every ninth customer will get a free milkshake which customer will be first to get a free sandwich and a free drink
An alloy weighing 30 lbs is 119 tin The alloy was made by mixing a 15% tin alloy and a 9% tin allov. How many pounds of each alloy were used to make the 11% alloy?
We let x = pounds of alloy that is 15% tin
The problem is modeled by the equation:
0.11(30) = 0.15x + 0.09(30-x)
The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).
Solving for x:
3.3 = 0.15x +2.7 - 0.09x
.06x = 0.6
x = 10 lbs
30-10 = 20 lbs
10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy