Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{12}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
Using PEMDAS rule :
Parentheses, Exponents , Multiplication , Division , Addition , Subtraction
Let's solve
[tex] \sf{3 \times (12 - 5) - 9}[/tex]
Subtract 5 from 12
⇒[tex] \sf{3 \times 7 - 9}[/tex]
Multiply the numbers
⇒[tex] \sf{21 - 9}[/tex]
Subtract 9 from 21
⇒[tex] \sf{12}[/tex]
Hope I helped!
Best regards!!
if 3/5 of the certain length is 210m then 5/7 of length is
Answer:
250 m
Step-by-step explanation:
Let the total length be x m.
[tex] \therefore \: \frac{3}{5} \times x = 210 \\ x = 210 \times \frac{5}{3} \\ x = 70 \times 5 \\ x = 350 \: m \\ \\ \frac{5}{7} \times x = \frac{5}{7} \times 350 = 5 \times 50 = 250 \: m[/tex]
The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.
Answer:
[tex] x = 2.5 [/tex]
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
[tex] 2(x + 2.5) = 2.5*x [/tex]
[tex] 2x + 5 = 2.5x [/tex]
Subtract 2x from both sides
[tex] 2x + 5 - 2x = 2.5x - 2x [/tex]
[tex] 5 = 0.5x [/tex]
Divide both sides by 0.5
[tex] \frac{5}{0.5} = \frac{0.5x}{0.5} [/tex]
[tex] 2.5 = x [/tex]
[tex] x = 2.5 [/tex]
Juan added a set of parentheses and a set of brackets in the expression: 15: 3 x 5 + 4 x 8. Juan's expression has a value of 40. What is one way Juan could have written the grouping symbols?
Answer:
[tex][15: (3 \times 5) + 4] \times 8[/tex]
Step-by-step explanation:
First of all, let us have a look at the rule for solving brackets/parentheses/algebraic operations.
The rule states that the expression must be solved in the following order:
B - Brackets (Innermost parentheses first, then the enclosing brackets are solved)
O - Of (for example 10% of 20)
D - Divide operation
M - Multiplication operation
A - Addition operation
S - Subtraction operation
So, we need to add a set of parentheses i.e. () and a set of brackets i.e. [] in the expression:
[tex]15: 3 \times 5 + 4 \times 8[/tex] such that the result is 40.
Consider the expression: [tex][15: (3 \times 5) + 4] \times 8[/tex]
Let us try to solve the expression using the above rule:
[tex][15: (3 \times 5) + 4] \times 8[/tex]
First of all, the innermost () will be solved:
[tex](3\times 5) = 15[/tex]
Now, the expression becomes:
[tex][15: 15 + 4] \times 8[/tex]
Now, 15:15 will be solved as 1
[tex][1+ 4] \times 8[/tex]
Now, the outer [] will be solved:
[tex]5\times 8 = 40[/tex]
Hence, the correct answer is:
[tex][15: (3 \times 5) + 4] \times 8[/tex]
There are 180 students enrolled in our school. 2/3 of the students are girls. How many students are boys?
Answer: 60
Step-by-step explanation: 1/3 of 180= 60
is "how many students at your school play soccer" a statistical question
Answer:
At my school 20 people boys and girls play soccer
Human blood contains red blood cells, white blood cells, and platelets. The table shows the sizes of
these components. Simplify each expression
Blood Components
Part
Size (m)
Red blood cell
White blood cell
125,000-1
3(500)-2
3(1,000)-2
Platelet
Red blood cell:
m
White blood cell:
m
Platelet
m
Answer/Step-by-step explanation:
To simplify the given expressions that involves negative exponent, recall the law of exponents that deals with simplifying negative exponent.
Thus: [tex] a^{-x} = \frac{1}{a^x} [/tex]
Ally this rule in solving the given problem as follows:
Red blood cell = [tex] 125,000^{-1} = \frac{1}{125,000^1} = \frac{1}{125,000} = 0.000008 = 8*10^{-6} [/tex]
White blood cells = [tex] 3(500)^{-2} = 3(\frac{1}{500^2}) = 3(\frac{1}{250,000}) = 3*0.000004 = 0.000012 = 1.2*10^{-5} [/tex]
Platelet = [tex] 3(1000)^{-2} = 3(\frac{1}{1,000^2}) = 3(\frac{1}{1,000,000}) = 3*0.000001 = 0.000003 = 3*10^{-6} [/tex]
Solve for z in the literal equation 3/4(z+7)=y
Answer:
Below
Step-by-step explanation:
● (3/4)×(z+7) = y
Divide both sides by (3/4)
● (3/4)÷(3/4)×(z+7) = y÷(3/4)
● 1×(z+7) = y ÷(3/4)
● (z+7) = y ×(4/3)
● z+7 = 4y/3
Substract 7 from both sides
● z+7-7 = (4y/3)-7
● z = (4y/3)-7
This equation has infinite solutions. Every time you input a value you get a different solution.
3. Which words represent MULTIPLICATION
minus
times
product
quotient
Answer:
the answer is product and times.
If the ratio of blue marbles to red is 9:4 what is possible number of blue and red marbles in the jar
Answer:
13
Step-by-step explanation:
13 right? all ya gotta do is add em together right?
Very important algebra 2 question
Answer:
Left
Step-by-step explanation:
When x is being added to inside the parenthesis, it is being moved left.
Please hell will give branilest to the firstanswer s
Answer:
[tex]x=13[/tex]
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
We know that the perimeter is 80. Looking at the rectangle, we can also see that the length is 2x+3 while the width is x-2. Thus, make the substitutions:
[tex]P=2l+2w\\80=2(2x+3)+2(x-2)[/tex]
Distribute:
[tex]80=4x+6+2x-4[/tex]
Combine like terms and add:
[tex]80=6x+2[/tex]
Subtract 2 from both sides:
[tex]78=6x[/tex]
Divide both side by 6:
[tex]x=13[/tex]
Thus, the value of x is 13.
Answer:
x=39
Step-by-step explanation:
5 concrete blocks form one-eighth of a structure. So how many concrete blocks are
required to form the structure?
Answer:
40
Step-by-step explanation:
5= 1/8 of structure so 5*8= 8/8 of the structure= 40
Answer:
40 blocks
Step-by-step explanation:
5 = 1/8 of x
multiply by reciprocal of (1/8) = 8
5(8) = x
x = 40
40 blocks
The quotient of two integers with same sign is always . The quotient of two integers with different signs is always .
Answer: When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative.
Step-by-step explanation:
Answer:
positive
negative
Step-by-step explanation:
Miguel started an exercise program that has him swim 8 laps each day during the first week. Each week he adds 2 laps to his routine. In which week will he swim 20 laps each day?
Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.
Answer: [tex]M = 50 + 7.50 h[/tex]
Step-by-step explanation:
As per the given scenario,
Total money Christina made = (Money she made in tips) + (Per hour wage ) x (Number of hours she work in one night) (i)
Let M is the total money she makes and h is the number of hours she works in one night.
Here, Money she made in tips = $ 50
Per hour wage = $7.50
So substitute all the values in (i), we get
[tex]M = 50 + 7.50 h[/tex]
Hence, the required function is [tex]M = 50 + 7.50 h[/tex].
Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be
modeled by the function 7(x) = 10. Suppose the width of the rectangle increases 1 unit, while the area remains
constant. Which graph models the length of the new rectangle?
The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C
The graph in option 3 models the length of the new rectangle.
What is a rectangle ?Any figure bounded by 4 sides where the opposite sides are equal and all the angles are 90° is called rectangle.Area of the rectangle can be found by multiplying the length with its breadth.How to find which graph models the length of the new rectangle?According to the problem,
width of the rectangle is x unitsArea of the rectangle is 10 square unitsLength of the rectangle is given by f(x) = 10/xNow if width becomes (x+1) units
∴ Length will be represented as 10/(x+1)
Now from the given options we need to find the exact graph of f(x) = 10/(x +1)
Here if x = 4 , y =2
So the point (4 , 2) is satisfied which is only happening in the graph of option 3
Option 3 represents the correct graph
Find more about "Graphs" here : https://brainly.com/question/4025726
#SPJ2
What is the length of the distance between the two points of (6, -2) and (3, 4)? Answer options attached, DUE IN 2 HOURS and will give BRAINLIEST!
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
We can use the distance formula to find the distance between these two points. The distance formula is:
[tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
We know that x1 is 6, x2 is 3, y1 is -2, and y2 is 4, so we can substitute inside the equation.
[tex]\sqrt{(3 - 6)^2 + (4 - (-2))^2} \\\\\sqrt{-3^2 +6^2} \\\\\sqrt{9 +36}\\\\\sqrt{45}[/tex]
Hope this helped!
Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:
Answer:
how many masks can she make from one yard of fabric?
the maximum she can obtain is 4 (9 x 4 = 36) x 3 (14 x 3 = 42) = 12 masks from one yard of fabric.If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask?
the fabric cost of 1 mask at a discount price = $3 / 12 = $0.25 per maskIf her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask?
the fabric cost of 1 mask at regular price = $9 / 12 = $0.75 per mask(-6) x (-5)-2 (-6)x(-5-2)
Answer:
It will be -54X
It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number $h$ of hours you can rent the canoe.
Answer:
Step-by-step explanation:
The base number is 13 dollars since you must pay it before adding hourly expenses.
Every hour, you have to pay 5.50.
So, the total cost would equal:
29.50 - (13 + 5.5h) < 29.50
Think: you have 29.50. you must pay 13 dollars before using it. it costs 5.50 for each hour. your money must be less than your total.
Hope this helped :)
a store is having a sale on almonds and jellybeans for 2 pounds of almonds and 3 pounds of jellybeans the total cost is $15 for 6 pounds of almonds and 5 pounds of jellybeans total total cost is $35 find the cost of each pound of almonds and each pound of jellybeans
Answer:
$5.50 + $10.50 = $16
Step-by-step explanation:
6a + 5b = $34
2a + 3b = $16
...Solving by elimination
6a + 5b = 34
-3(2a + 3b = 16)
-4b = -14
b = 14/4 0r $3.50, cost of each pound of jelly beans.
a,cost of each pound of almonds = $2.75 %2816-+3%283.50%29%29%2F2+=+2.75
...checking Using:
2a + 3b = $16
$5.50 + $10.50 = $16
Help I’m being timed!!!!!!!
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
The answers are given in slope-intercept form.
[tex]y = mx+b[/tex]
The slope (m) in the question is -3. The y-intercept (b) is 8.
Plug the values in you get:
[tex]y=-3x+8[/tex]
Hope this helps.
Im not good at this..... please help
Answer:
B. Dependent Events
Step-by-step explanation:
Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.
How many integers at between 15 and 63?
Answer:
48
Step-by-step explanation:
63-15=48
Answer:
48
Step-by-step explanation:
You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.
What did the friend do wrong in this equation?
Answer:
4x + 2x = 90 NOT 180.
Step-by-step explanation:
x = 15 is the correct answer.
Point A is the pre-image of a vertex of a square and is located at (-10,8). The square is dilated with the center of dilation at the origin. Point A' is the image and is located at (-7.5,6). What is the scale factor of the dilation?
Answer:
the scale factor would be .75 or 3/4
Step-by-step explanation:
Answer:
the answer is .75
Step-by-step explanation:
Helpppppppppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation:
Answer:
C (I think)
Step-by-step explanation:
(Sorry in advanced. I haven't done this stuff in a while.)
It's basically asking for the numbers in between each number. Thing is that the symbols on each end makes all numbers positive. Looking at the graphs, there are none with all positives.
I'm very sorry if this isn't right but I believe its the correct answer. Tell me if it is!
Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statement about the estimate is true?
Answer:
D. The number will be less than 1 because when adding the exponents,
11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.
Step-by-step explanation:
The question lacks appropriate option. Find the options below;
A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.
B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.
C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.
D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.
Given the expression [tex](4.296*10^{11})(1.8614*10^{-14})[/tex], to expand the expression we will apply some of the law of indices below. If a, b and m are integers
[tex]a^m*a^n = a^{a+m}[/tex]
[tex]= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\[/tex]
= 0.0079965744
Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.
Answer:
The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.
Step-by-step explanation:
Took the quiz (:
Jane bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was $0.18. What was the total cost of the items?
Answer:
The answer to this problem is $3.50
Step-by-step explanation:
What are the x-intercepts for the expression (x-4)(x+5)
Answer:
C. [tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
Step-by-step explanation:
Given the expression, [tex] (x - 4)(x + 5) [/tex], the x-intercepts would be the values at which the expression = 0.
Rewrite the expression as:
[tex] (x - 4)(x + 5) = 0 [/tex],
Set the first and the second factors equal to 0
[tex] (x - 4) = 0 [/tex]
[tex] x = 4 [/tex]
[tex] (x + 5) = 0 [/tex]
[tex] x = -5 [/tex]
All the values that make [tex] (x - 4)(x + 5) = 0 [/tex] are the x-intercepts of the expression.
x = 4, -5
The point form of the x-intercepts are:
[tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]