Answer:
58 square units
Step-by-step explanation:
Take the shaded figure as a full larger rectangle minus the rectangular part which is not shaded.
Area of the full larger rectangle:
Area = length × width
Length = |12 - 2| = 10 units
Width = |8 - 1| = 7 units
Area = 10 × 7 = 70 units²
Area of the unshaded small rectangle:
Length = |10 - 4| = 6 units
Width = |3 - 1| = 2 units
Area = 6 × 2 = 12 units²
Area of the shaded figure = 70 - 12 = 58 square units
(X+4+1)(x+4)=(11+x+1)(x+1) solve for x
Answer:
x= 2
Step-by-step explanation:
so you add the values given in the brackets and leave X as it is (do this on both sides of the equation.
1. (x + 5)(x+4)= (x+12)(x+1)
2. multiply the parenthesis on both sides or one at a time
so, [tex]x^{2}[/tex]+5x+4x+20 = [tex]x^{2}[/tex]+12+1x+12
3. cancel like terms which we have [tex]x^{2}[/tex] so remove that.
5x+4x+20=12+1x+12
4. collect like terms.
9x + 20 = 13x + 12
5. move like terms.
9x-13x=12-20 = -4 = -8
6. x= [tex]\frac{-4}{-8}[/tex] divide both sides by 4 or basically simplify 4 divided by 8
which leaves u with
x= 2
hope this helps x, let me know if u have any questions. photomath is an app that helps too.
Mrs. Haley had 5/7 of a liter of salt water. She used 1/2 of a liter for an experiment. How much salt water does Mrs. Haley have left?
Mrs. Haley had
liters of salt water left.
Answer:
3/14 of a liter of salt
Step-by-step explanation:
Step one:
given
tot amount of salt= 5/7 of a liter of salt
that is 1*5/7= 5/7 liters
She used 1/2 of a liter for an experiment
Required:
the remaining amount of salt
Step two:
we are going to subtract the salt used for the experiment from the total
= 5/7-1/2
= 10-7/14
= 3/14
The remainder is 3/14 of a liter of salt
Mark and his brother David are fighting over a toy airplane while playing their yard. Mark grabs the plane and takes off running at rate of 7.5 miles per hour. One minute after Mark starts running, David starts to chase him at rate of 9mph. How long will David to reach Mark and how far will they have run?
Does 82.45 round up to 83?
Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
Help pls
im braindead still XD
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Kay is making beaded belts for her friends from 6.5 meters of cord. One belt uses 0.625 meter of cord. How many belts can she make? Show your work.
Answer:
10 belts
Step-by-step explanation:
6.5 meters of cord / 0.625 meters per belt = 10.4 belts
Because 0.4 meters of cord is not enough for a belt, the answer is 10.
The hanger image below represents a balanced equation.
a
9.1
4
Write an equation to represent the image.
Answer:
9.1 = a+4
Step-by-step explanation:
The right side has two different values, variable a, constant 4.
The left side has the constant 9.1.
If both sides are equal, then
a + 4 should equal 9.1
Answer:
9.1 = a+4
Step-by-step explanation:
I need the answer to this ASAP!!!! 30 points!!!
Answer:
Part1: 1L 1s
5: 1 1/4s
1: 1/2
1: 3/4
2: 2
PART 2: 6 1/4
Step-by-step explanation:
For part 1 its just plotting the amount of the numbers in that table
Part 2: there are 5 1 1/4, so I can just multiply that by 5, which gives 6 1/4
pls brainliest
Translate the following phrase into an algebraic expression. use the variable d to represent the unknown quantity.
The algebraic expression is '4d' for the phrase "The product of 4 and the depth of the pool."
Expressing algebraically means to express it concisely yet easily understandable using numbers and letters only. Most of the Mathematical statements are expressed algebraically to make it easily readable and understandable.
Here, we are asked to represent the phrase "The product of 4 and the depth of the pool" algebraically.
The depth of the pool is an unknown quantity. So let it be 'd'.
Then product of two numbers means multiplying them.
We write the above statement as '4 x d' or simply, '4d' ignoring the multiplication symbol in between.
The question is incomplete. Find the complete question below:
Translate the following phrase into an algebraic expression. Use the variable d to represent the unknown quantity. The product of 4 and the depth of the pool
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What is an expression equivalent to -4(-6m - 7)
Answer: 24m+28
Step-by-step explanation:
you would distribute the -4 threw eveything
so it would be 24m+28
Matthew is planning a graduation party at a restaurant. Restaurant A charges $250 to reserve the room and $15 per person to eat. Restaurant B charges $370 to rent the room and $13.50 for each person to eat. How many people would Matthew need to invite for the cost at either restaurant to be the same?
Fill in the blanks to create an equation to represent the situation.
___x + 250 = 13.50x + ____
Considering the definition of an equation and the way to solve it, Matthew would need to invite 80 people.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Number of invitesBeing "x" the number of invites, and knowing that:
Restaurant A charges $250 to reserve the room and $15 per person to eat. → Cost restaurant A= 250 + 15xRestaurant B charges $370 to rent the room and $13.50 for each person to eat. → Cost restaurant B= 370 + 13.50xIf cost at either restaurant is the same, the equation in this case is:
Cost restaurant A= Cost restaurant B
250 + 15x= 370 + 13.50x
Solving:
15x + 13.50x= 370 - 250
1.50x= 120
x= 120 ÷ 1.50
x=80
Finally, Matthew would need to invite 80 people.
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9.
Which two expressions are equivalent?
plsss i have 5 ins to get this questoion pls elp
If 16^x = 1/64 find the value of x.
Answer:
x = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , that is
[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex]
[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]
since bases on both sides are equal , both 4 then equate exponents
2x = - 3 ( divide both sides by 2 )
x = - [tex]\frac{3}{2}[/tex]
There are 2 grams of sugar in 8 oz of a fruit drink. Which table shows this relationship. *
Answer:
c
Step-by-step explanation:
one full drink or 2 oz. is two grams so a half a drink or four oz. is 1 gram and a drink and a half or 12 oz. is 3 grams
In table C there are 2 grams of sugar in 8 oz of a fruit drink. Therefore, option C is the correct answer.
Given that, there are 2 grams of sugar in 8 oz of a fruit drink.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
In table C we can see corresponding to 2 grams of sugar 8 oz of fruit drink.
In table C there are 2 grams of sugar in 8 oz of a fruit drink. Therefore, option C is the correct answer.
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What type of experimental design did Betty use?
Betty wants to bake the perfect cookie. She wants to
determine the ideal temperature at which to bake the
cookies. She has enough batter to make 60 cookies. She
decides to randomly assign 15 cookies to be baked at
300º, 15 at 325°, 15 at 350°, and 15 at 375°. The baking
time for each batch is 12 minutes.
* matched pairs experimental design
O completely randomized experimental design
randomized block experimental design
none (observational study only)
Answer:
C.) completely randomized experimental design
Step-by-step explanation:
Edge 2020
The experimental design used by Betty is completely randomized experimental design. Hence, option A is correct.
What is an experiment?A process used to confirm or deny a theory, as well as assess the effectiveness or possibility of something that has never been performed before, is called an investigation.
By showing what happens when a particular element is modified, experiments shed light on causation relationships. Experiments have a wide range of objectives and sizes, but always depend on a repeatable process and a logical examination of the outcomes. Additionally, there are experiments conducted in nature.
As Betty is wants to bake a perfect cookie, and she has enough batter. She is testing to bake the batter at different temperatures to see that what is the ideal temperature to make perfect cookies. So, this is completely randomized experimental design.
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The sum of a three digit number and a one digit number is 731 the product of the number is 2908 what are the numbers
The one digit number is 4 and three digit number is 727.
Let us consider the one digit number be a and three digit number be b. Given that their sum is equal to 731.
a + b = 731 : equation 1
Also, their product is equal to 2908.
a × b = 2908 : equation 2
Now, from equation 1, the value of b is
b = 731 - a : equation 3
Putting the value of b in equation 2, we get
a (731 - a) = 2908
731a - a² = 2908
a² - 731a + 2908 = a
Using middle term splitting, the equation can be written as
a² - 727a - 4a + 2908 = 0
a(a - 727) - 4(a - 727) = 0
a - 4 = 0 and a - 727 = 0
a = 4, 727
Now, putting the value of a in equation 3, we get
b = 731 - 4 and 731 - 727
b = 727, 4
Thus, the one digit number is 4 and three digit number is 727.
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A sporting goods company produces figure skates and hockey skates. One group of workers makes the blades for both types of skates. Another group makes the boots for both types of skates. It takes 2 hours to make the blade of a figure skate. It takes 3 hours to make the blade of a hockey skate. There is a maximum of 40 hours per week in which the blades can be made for both types of skates. It takes 3 hours to make the boot of a figure skate. It takes 1 hour to make the boot for a hockey skate. There is a maximum of 20 hours per week in which boots can be made for both types of skates. What is the system of inequalities that represents this situation?
The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume?
A.500 cm3
B.150 cm 3
C.200 cm3
D.250 cm 3
Please help
Answer:
D.
Step-by-step explanation:
My pumpkin pie recipe (which is listed at the end of this post) is really good. If you want to make my pumpkin pie you will need 1 ¾ cups of pumpkin puree. How many pies would the 2,528- pound pumpkin be able to make?
Answer:
752 pies will be made form the 2,528 pound pumpkin
Step-by-step explanation:
Here, we want to know the number of pies that will be made from the given number of purée
Firstly, we need to know the number of cups in 2,528-pound pumpkin purée
Mathematically, 1 pound = 1.92 cups
So , 2528 pound will be 2,528/1.92 = 1,316.67 cups
1 3/4 cups is needed to make a pie
So the number of pies that 1,316.67 cups will
make would be;
1316.67 divided by 1 3/4
= 1316.67/1.75 = 752 approximately
4(3n-2)=what and explain by righting out. each step
Answer:
12n - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define Expression
4(3n - 2)
Step 2: Expand
Distribute 4: 4(3n) - 4(2)Multiply: 12n - 8Answer:
4(3n-2)
=> 12n-8
=> 12n=8
=> n=8/12
=> n= 2/3
Can someone please help me I have a few more also that I need help with.
Answer:
77
Step-by-step explanation:
Please mark as brainliest. I'm happy to help
Solve the equation for the specified variable.
S = BA-7, for B
Answer:
[tex]B= \frac{S + 7}{A}[/tex]
Step-by-step explanation:
We are given the following equation:
S = BA - 7
And we want to solve it for B.
This is a literal equation, and to solve these, we need to isolate the variable we are solving for (in this case, B) on one side.
Here's the equation again:
S = BA - 7
We can start by adding 7 to both sides (removes it from the right side).
S = BA - 7
+7 +7
________________
S + 7 = BA
Now, divide both sides by A to isolate B. Remember that we're dividing both S AND 7 by A.
(S + 7) = BA
÷A ÷A
[tex]\frac{S+7}{A} = B[/tex]
This can be rewritten to be: [tex]B = \frac{S + 7}{A}[/tex]
You can also write it as [tex]B = \frac{S}{A} +\frac{7}{A }[/tex] if you wish.
When solving a system of linear equations, when would you want to solve by graphing? When would you want to solve by substitution? When would you want to solve by elimination? Your answer should be at least three complete sentences.
a circular railroad crossing sign has a diameter of 30 inches. Which measurement is closest to the area in square inches?
Answer: it would be 12.
Step-by-step explanation:
HELPPP find the value of x !!!
Given m<1=83°, find m<2 so the <1 and <2 are supplementary:
m<2=1
(Please enter the number of degrees only with no words or symbols)
Answer:
m∠2= 97
Step-by-step explanation:
When 2 angles are supplementary, they add up to 180 degrees.
We are told that angle 1 is 83 and the angle 1 and 2 are supplementary
So, angle 1 and 2 add up to 180, let's subtract 83 from 180 to find measure of angle 2
180-83=97
hope this helps! feel free to ask any questions
2.
Which expression is equivalent to *x+(-3)+(-2) -
2
OA. =X-
-1
ОВ.
EX-5
5
OC.
-
-
5x-5
OD. 2x + 5
Answer:
1
Step-by-step explanation:
An expression contains variables which can be represented by using the alphabets like a, b, c, m, x, y, z, etc. We can form different expressions using various numbers and variables. The expression equivalent to x+(-3)+(-2) - 2 is x-7 = 0. The correct option is B.
What is an expression?An expression or also called the algebraic expression is defined as the mathematical statement which contains numbers, variables and an arithmetic operation between them.
In order to factorize or simplify the expression, we should know how to combine the like terms, factor a number, order of operations. The given equation can be simplified as:
x + (-5) -2 = 0
x - 7 = 0
Thus the correct option is B.
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Your question is incomplete most probably your full question was;
Which expression is equivalent to x+(-3)+(-2) - 2
A. x-3 = 0
B. x - 7 = 0
C. x - 4 = 0
D. x- 3 = 0
what is z? -0.25z = -1.25
Answer:
z = 5
Step-by-step explanation:
-0.25z = -1.25
-1.25 ÷ -0.25 = 5
z = 5
find the distance between (-5,7) and ( -5,-4)
Answer:
11
Step-by-step explanation:
SInce the x vales are the same, you just have to look at the y values. 7 is how much from -4? So do 7-(-4)
Answer: 11
Hope this helps :)
Consider the matrices
Answer:
Step-by-step explanation:
S = [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex]
T = [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex]
ST = [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex] × [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex] = [tex]\left[\begin{array}{cc}14(-5)+1(-4)&(4)0+1(3)\\(-1)(-5)+(-2)(-4)&(-1)0+(-2)(3)\end{array}\right][/tex] =
= [tex]\left[\begin{array}{cc}-24&3\\13&-6\end{array}\right][/tex]
TS = [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex] × [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex] = [tex]\left[\begin{array}{cc}(-5)(4)+(0)(-1)&(-5)(1)+(0)(-2)\\(-4)(4)+3(-1)&(-4)(1)+(3)(-2)\end{array}\right][/tex] =
= [tex]\left[\begin{array}{cc}-20&-5\\-19&-10\end{array}\right][/tex]
ST ≠ TS