Answer:
a)9
b)3
c)22
Step-by-step explanation:
(only in 7th so could be wrong)
a
13+7·2
13+14
27
-----------
8-(3+2)
8-3-2
3
----------
27/3
9
------------------------------------------------------------------
b
9+3²
9+9
18
----------
2²+2
4+2
6
--------
18/6
3
-----------------------------------------------------------------------------------
c
(10+2)+(4²-6)
10+2+4²-6
12+16-6
12+10
22
Question 5(Multiple Choice Worth 1 points) (01.05 LC) Which of the following is an equivalent form of the compound inequality -22 -5x - 72-33? -5x - 7-22 and -5x - 72-33 O-5x - 7-22 and -5x - 72 −33 O-5x = -22 and -7 2 -33 -5x 7-22 and -5x - 7 ≤ -33
The equivalent form of the compound inequality where the compound inequality is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4
How to determine the equivalent form of the compound inequality?The compound inequality is given as
-22 > -5x - 7 ≥ -3
Add 7 to all sides of the compound inequality
So, we have
7 -22 > -5x - 7 + 7 ≥ -3 + 7
Evaluate the sum in the above compound inequality
So, we have
-15 > -5x ≥ 4
Hence, the equivalent form of the compound inequality where the compound inequality is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4
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You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club
Event C has ____ outcome(s)
The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13
In this question, we have been given an event of a random experiment.
You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.
We need to find the total number of outcomes for event C.
Number of cards in a deck = 52
We know that, the number of club cards in the standard deck of cards = 13
Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13
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This is the question
Answer:
x<0: 0<x<1; x>1
Step-by-step explanation:
The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.
So, the domain is x<0: 0<x<1; x>1.
A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 90 pounds of peanuts, the manager decided to mix the 90 pounds of peanuts with some cashews and sell the mixture for $3.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue?
The number of pounds of cashews should be mixed with the peanuts to ensure no change in the revenue is; 360 pounds
How to Solve Algebra Word Problems?Let the number of pounds of cashews be x.
Now, we are told that A nut store normally sells cashews for $4.00 per pound. Thus;
Cost of x pounds of cashews = $4x
He wants to mix the above with 90 pounds of peanuts and sell the mixture for $3.5 per pound. Thus, the equation here is;
((90 * 1.5) + (4x))/(x + 90) = 3.5
135 + 4x = 3.5(x + 90)
135 + 4x = 3.5x + 315
4x - 3.5x = 315 - 135
0.5x = 180
x = 180/0.5
x = 360 pounds of peanuts
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Which number is a rational number?
13
16
9
|୯
2
V34
√49
Answer:
49
Step-by-step explanation:
Need help with this please
Answer:
7)B
8)B
9)A
10)C
Step-by-step explanation:
LET ME KNOW IF THIS HELPS.
9 less than nine times a number.
Answer:
9-9x
Step-by-step explanation:
Converted from word to standard form.
The value of the equation 9 less than nine times a number is A = 9n - 9 , where n is the number
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 9 less than nine times a number
Let the number be represented as n
On simplifying the equation , we get
A = 9n - 9
Therefore , the value of A is 9n - 9
Hence , the equation is A = 9n - 9 , where n is the number
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Jim began a 145mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on bicycle is 4.5 hours.
Given Jim began a 145 mile bicycle trip.
The whole trip took 7 hours.
Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
speed = distance / time
time = distance / speed
ride:
d = distance ridden
t = d/30 (given from the problem)
walk:
t = (145 - d)/4 (given from problem)
total trip time:
7 = d/30 + (145 - d)/4.
7 = 4d/120 + 30(145 - d)/120
7×120 = 4d + 30(145 - d)
840= 4d +4350-30d
840 ₋ 4350 = ₋30d ₊ 4d
₋3510 = ₋26d
d = 3510/26
d = 135
d=135 then from here using the formula t = d / s we can solve
t=135/30 = 4.5 hours
hence the amount of time Jim spent on the bicycle is 4.5 hours.
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Find the average rate of change of the function from x₁ to X₂.
x-Values
X1 = 1, X₂ = 6
Function
f(x) = x² - 2x + 6
How many times larger is 8 x 10^5 than 4 x 10^3?
The value 8 x 10^5 is 200 times greater than 4 x 10^3
Scientific notationsThe standard scientific notation is expressed as A * 10^n
where
A is the values between 1 and 10
n is any integer
In order to determine how many times larger is 8 x 10^5 than 4 x 10^3, we will take the ratio;
Ratio = 8 x 10^5/4 * 10^3
Ratio = 8/4 * 10^5/10^3
Ratio = 2 * 10^2
Ratio = 200
Hence the value 8 x 10^5 is 200 times greater than 4 x 10^3
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The perimeter of the triangle below is 54 units. Find the value of y.
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
The mean diameter of holes produced by a drilling machine bit is 4.05 mm and the stan dard deviation of the diameters is 0.0028 mm For twenty holes drilled using this machine, determine, correct to the nearest whole num ber, how many are likely to have diame ters of between (a) 4.048 and 4.0553 mm and (b) 4.052 and 4.056 mm, assuming the diameters are normally distributed.
The total number of holes will be (a)15 and (b) 4 when the drilling machine is used whose standard deviation is 0.0028mm.
The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
The sum of all values divided by the total number of values constitutes a dataset's mean.
The mean of the holes are given as 4.05 mm([tex]\mu=4.08[/tex])
The standard deviation is given as 0.0028 mm([tex]\rho=0.0028[/tex])
Now we will use the z-score and probability distribution to calculate the frequency of the holes to have diameter between 4.048 and 4.0553.
Here [tex]Pr(4.048\leq X\leq 4.0053)[/tex] ,so we need to compute the z-values
[tex]Z_1=\frac{X_1-\mu}{\rho} \\Z_1=\frac{4.048-4.05}{0.0028} \\Z_1=-0.7143[/tex]
Similarly:
[tex]Z_2=1.8929[/tex]
Therefore from the above statements we can say that
[tex]Pr(-0.7143\leq X\leq 1.8929)[/tex]
Solving for probability distribution we get
[tex]Pr(4.048\leq X\leq 4.0053)=0.7333[/tex]
Total number of holes=0.7333 × 20= 14.666..
Therefore the number of holes is 15
Similarly
The z-value corresponding to 4.052 mm is given by 0.71
The z-value corresponding to 4.056 mm is given by:2.14
The probability of the diameter being between 4.052 mm and 4.056 mm is 0.4838 – 0.2611 =0.2227
The number likely to have a diameter between 4.052 mm and 4.056 mm = 0.2227 × 20
= 4.454
= 4, correct to nearest whole number
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Find the square root of: 2 + sqrt5
Answer:
3.65
Step-by-step explanation:
The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6
Round 0.007492 to the nearest hundredth
Answer:
0.01
Step-by-step explanation:
Nearest hundredth is the second digit after the decimal point.
If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit.
For a party, Ashley wants to make 12 hamburgers. If she has 2.964
pounds of meat, how much would each patty weigh? _________ pounds
Answer:
247
Step-by-step explanation:
divides 2964 entre 12 y obtienes 247
I just need that one answer please
Answer:50.5
Step-by-step explanation:
because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.
find the total amount and total interest after eight months if the interest is compounded every four months
The total amount is $ 6050, and the total interest after 8 months is $1050.
What is interest?
Interest is the financial charge for the honor of adopting a plutocrat, generally expressed as a periodic chance rate( APR).Interest is the quantum of plutocrat a lender or fiscal institution receives for advancing out money. However, you do it in order to achieve that result or maintain that situation, If you do commodity in the interests of a particular result or situation. There are basically three(3) main types of interest rates the nominal interest rate, the effective rate, and the real interest rate. The nominal interest of a (one) investment or loan is simply the stated rate on which interest payments are calculated.Here,
Period per year = 124 = 3
Total amount = amount (1 + periodic rate)period
= $6,050
Total interest = Total amount - amount
= 6050 - 5000
= $1,050
Thus,
The total amount is $ 6050, and the total interest after 8 months is $1050.
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Find the solution to the system of equations. Round to the nearest tenth if necessary.
f(x) = 3x+6
g(x) = x² + 4x + 1
Answer:
The solutions are
(-2.8, -2.4) and
(1.8, 11.4)
- to the nearest tenth.
Step-by-step explanation:
x² + 4x + 1 = 3x+6
x² + 4x - 3x + 1 - 6 = 0
x² + x - 5 = 0
Using the quadratic formula:
x = [-1 +/- √((1)² - 4*1*(-5)] / 2
= (-1 - 4.583) / 2 , (-1 + 4.583) / 2
= -2.791, 1.792.
Substituting for x in the equation:
y = -2.374, 11.374.
Quadrilateral A' B'C'D' is the image of quadrilateral ABC D under a translation.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
How to determine the possible rectangle's length and width?The given parameters are
Area = 15 square cm
The area is given as
Area = 15 square cm
The formula of area is
Area = Length x Width
Using the above formula, we have:
A) 1 cm and 15 cm ⇒ 15 square cm
B) 2 cm and 7 cm ⇒ 14 square cm
C) 3 cm and 5 cm ⇒ 15 square cm
D) 4 cm and 4 cm ⇒ 16 square cm
Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
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Possible question
The area of a rectangle is 15 square cm
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
The answer would be m.
Step-by-step explanation:
The point would be (7,1) If you look at the top two points, (3,5) and (10,5) You can see that the y coordinates are the same. They are both 5. So on the bottom left (0,1) we know that are n will be 1 . Now we have to figure out m. If we look on the top (3,5) (10,5) We can see from the x's 10 and 3, that they are a distance of 7 apart. Since our bottom left hand corner is (0,1) If we add 7 to 0 we get 7. That makes m equal 7
Negative 16/72 in simplest form
Answer:
Negative 2/9 I believe
Step-by-step explanation:
sorry if i am wrong
Answer:
-2/9
Step-by-step explanation:
-16/72
Simplify
We can divide the top and bottom by 8
16 divided by 8 = 2
72 divided by 8 = 9
-2/9
How many platelets are in 3 milliliters of blood write your answer in standard form
Solve the formula for the specified variable.
I = Prt
t
(2,−3) and (0,−8) answer
Answer:
y2-y1/x2-x1
-8--3/0-2
Step-by-step explanation:
-8+3/-2=-5/-2=5/2
Lucy’s chocolate bar is 46% cocoa. If the weight of the chocolate bar is 62 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer: 28,5 grams of cocoa
Step-by-step explanation:
[tex]\frac{62*46}{100}[/tex]
The U.S. Census Bureau defines a household as all of the people who occupy a housing unit as their usual
place of residence. The number of households is not equal to the population because multiple people may
live in the same housing unit.
82.1% of Cincinnati households have a computer. If 111.804 households in Cincinnati have a computer, how
many households are there altogether in Cincinnati? Show your work. Round to the nearest whole number.
Answer: total household present are 136
Step-by-step explanation:
Given:
82.1% of Cincinnati households have a computer.
111.804 households in Cincinnati have a computer.
According to ratio and proportions we have:
let total number of houses be x;
then
(111.804/x)*100=percentage of Cincinnati households having a computer. [[tex]gain/total*100 =gain %[/tex]]
then
(111.804/x)*100=82.1
cross multiplying we have
x=(111.804*100)/82.1
x=136 households (Round to the nearest whole number.)
so total household present are 136
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evaluate the function f(x) = square root of x at given value
Answer:
2/11
Step-by-step explanation:
since the square root of 4 is 2 and that of 121 is 11
5. Explain how to determine which operation to complete first when simplifying the expression (15 ÷ 5+4²) − [4³ − |(13² + 2) ÷ (4 − 1)]. Be specific.
Answer: Parentheses
Step-by-step explanation: Parentheses always go first because if you look at the work PEMDAS, P= parentheses, E= exponents, M= Multiplication, D= division, A= addition, and S= subtraction.
Q2. The diagram shows the position of town A.
Scale: 1 cm represents 10 km
Town B is 64 km from town A on a bearing of 070°.
Mark the position of town B, with a cross (*).
Use a scale of 1 cm represents 10 km.
The position of town B in cartesian plane is 6.4 cm in 1st quadrant at an angle of 70°.
As per the question statement, we are given that a diagram which shows the position of town A and the scale of 1 cm representing 10 km.
Town B is 64 km from town A on a bearing of 070°. We are supposed to tell the position of town B.
Let's assume that town A lies at origin in cartesian plane and as 1 cm represents 10 km therefore,
[tex]1cm = 10 km\\1 km = 0.1 cm\\64 km = 64*0.1=6.4 cm[/tex]
The town B is 6.4 cm from the origin and as the angle is given as 70° so the position of town B is in 1st quadrant.
Therefore the position of town B is 6.4 cm in 1st quadrant at an angle of 70° when town A lies at origin in the cartesian plane.
Cartesian Plane: The cartesian coordinate system includes a two-dimensional plane known as the Cartesian Plane. Numerical coordinates can be used to describe any point on a cartesian plane.To know more about cartesian plane, click on the link given below:
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