Answer:
Here
Step-by-step explanation:
The volume of cuboid = (Length x Breadth x Height) cubic units = ( l x b x h) cubic units.
m is the midpoint of pq. pm= 9x+3 and mq= 11x-17, find x and pq
The values of x = 5 and pq = 86.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that m is the midpoint of pq,
pm= 9x+3 and mq= 11x-17
⇒ 9x + 3 = 11x - 7
⇒ 3 = 11x - 9x -7
Rearrange the likewise terms and apply the arithmetic operations,
⇒ 3 = 2x - 7
⇒ 10=2x
⇒ x = 10/2
Divided by 2
⇒ x = 5
⇒ pq = 20x-14
⇒ pq = 20*5-14
⇒ pq = 86
Hence, the value of pq is 86.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
which calculation and answer show how to convert 9/16 to a decimal
Answer: 0.5625
Step-by-step explanation:
A is ur answer
h ope it helps!
Plz, Help me with this question.
Answer:
first option
Step-by-step explanation:
Given
area = 15x - 9 ← factor out 3 from each term
= 3(5x - 3)
Thus the dimensions are 3 by (5x - 3)
SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They have at most 50 candles, and want to make at least $100. Which system of linear inequalities represents the situation? x: The number of small candles y: The number of large candles
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.
[tex]x+y\leq 50[/tex]
Want to make at least $100. It means, the total sales must be greater than or equal to $100.
[tex]4x+6y\geq 100[/tex]
Therefore, the inequalities in the system of linear inequalities are [tex]x+y\leq 50[/tex] and [tex]4x+6y\geq 100[/tex].
Let f(x) = −2x 2 − 7 and g(x) = √x + 3. Find (f ∘ g)(25)
Answer:
(f О g)(25) is -135
Step-by-step explanation:
The composite function (f О g)(x) means substitute x in f by g
∵ f(x) = -2x² - 7
∵ g(x) = √3 + 3
→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)
∵ x = 25
∴ g(25) = √25 + 3
∵ √25 = 5
∴ g(25) = 5 + 3
∴ g(25) = 8
→ Now substitute x in f by 8
∵ x = 8
∴ f(8) = -2(8)² - 7
∴ f(8) = -2(64) - 7
∴ f(8) = -128 - 7
∴ f(8) = -135
∴ (f О g)(25) = -135
Which pairs of angles are congruent because they are vertical angles? Check all that apply. 4 lines intersect to form 14 angles. Angles 14 and 12, 11 and 13, 10 and 8, and 7 and 9 are vertical angles. Angle 1 and Angle 4 Angle 14 and Angle 12 Angle 7 and Angle 8 Angle 10 and Angle 8 Angle 3 and Angle 5 Angle 8 and Angle 12
Answer:
◽Angle 14 and Angle 12
◽Angle 10 and Angle 8
Step-by-step explanation:
Vertical angles are opposite to each other on a pair of intersecting lines.
◽Angle 1 and Angle 4
These angles are not on the same two intersecting lines.
◽Angle 14 and Angle 12
These angles are on the same two intersecting lines. They are also opposite to each other.
◽Angle 7 and Angle 8
These angles are on the same intersecting lines, but they are not opposite to each other.
◽Angle 10 and Angle 8
They are on the same pair on lines, and opposite to each other.
◽Angle 3 and Angle 5
They are not on the same pair of intersecting lines.
◽Angle 8 and Angle 12
These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).
The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
By the vertical angle property, then we have
∠14 = ∠12
∠10 = ∠8
∠7 = ∠9
∠11 = ∠13
The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ6
The missing diagram is given below.
Damien deposited $100 into his savings account. He then deposits $15 three times per month. Write an equation that shows the amount in Damien's savings account after t months
Answer: 100 + 45t
Step-by-step explanation:
From the question, we are informed that Damien deposited $100 into his savings account and that he then deposits $15 three times per month.
The equation that shows the amount in Damien's savings account after t months will then be:
= $100 + [($15 × 3) × t months]
= $100 + $45t
= 100 + 45t
3×_5=16 and 3×=21
the first equation is a true statement for a certain value of x.
can you explain why the second equation must also be true for the same value of x?
Understanding:
First, let's try simplifying the first equation as much as we can. As you know, you can add, subtract, multiply, divide, etc on both sides of the equation and it will remain the same value. To simplify [tex]3x-5=16[/tex] we can simply add 5 to both sides to cancel the -5 on the left-hand side. That will give us [tex]3x-5 +5=16+5[/tex], notice we added the 5 to both sides. The +5 cancels -5 and 16+5 is 21, which evaluates to [tex]3x=21[/tex]. And this equation looks familiar, it's our second equation actually. That's why both equations are the same, and in that x value that makes the first equation true, it will also do the same for the second equation. If you want to actually find the value of x which makes the equation true, you can simply divide the 21 on the right-side by 3 to make x coefficient equal to 1, [tex]\frac{3x}{3} =\frac{21}{3}[/tex], and that gives us, [tex]x=7[/tex]. When x is 7 both equations are true.
Answer:
We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
Step-by-step explanation:
Given the first equation
[tex]3x-5=16[/tex]
Add 5 to both sides
[tex]3x-5+5=16+5[/tex]
simplify
[tex]3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}[/tex]
simplify
[tex]x=7[/tex]
Thus, x = 7 is a value that satisfies the first equation.
Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.
3x = 21
3(7) = 21 ∵ x = 7
21 = 21
Thus, x = 7 also satisfies the 2nd equation.
Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
A number y minus 12 is no more than −32.
The inequality is
Answer:
y-12<-32
Step-by-step explanation:
just remember to underline the less than sign
In the diagram below
Please help I’ll give brainliest
Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Pls Explain :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?
Answer: 221.10
Step-by-step explanation:
AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce.
a) Mr. Molinari noticed that his package would cost the same to mail using either service. Write an equation to represent this situation.
b) How much does Mr. Molinari’s package weigh?
a. The equation that both services would cost the same is
0.25x + 5 = 0.35x + 2.
b. The weight of Mr. Molinary's package is 30 ounces.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.
United Packages charges $2 plus $0.35 per ounce.
Assuming the no. of ounces to be x.
∴ 0.25x + 5 = 0.35x + 2.
0.25x - 0.35x = 2 - 5.
- 0.1x = - 3.
x = 3/0.1
x = 30 ounces.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
plsss help no spam.
.....................
Answer:
Third one.
x=6 y=12
Ok!
Answer:
fourth option
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
x + y = 18 → (2)
Substitute y = 2x - 3 into (2)
x + 2x - 3 = 18
3x - 3 = 18 ( add 3 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Substitute x = 7 into (1) for corresponding value of y
y = 2(7) - 3 = 14 - 3 = 11
Solution is x = 7, y = 11
Solve these two by using factor the polynomial by grouping
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)
Answer:
B) 3
Step-by-step explanation:
add 5 to both sides, 4x=12
divide both sides by 4, x=3
Answer:
The answer is B) 3
Step-by-step explanation:
You add 5 to 7 to move it from one side to the other
You should then have 4y=12
Then to solve for why you divide 12 by 4
You will get y=3
So your answer is 3
When hitting the ski slopes, which location do skiers have the most potential energy
Answer:
at the top of the mountain or hill
Step-by-step explanation:
potential energy is stored energy so therefore the higjestpoint will have the most potential energy.
The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position).
What is Kinetic Energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
The skier has a lot of potential energy because they are starting from an elevated position (i.e., energy of vertical position).
If the skier is starting from rest, all of their mechanical energy is potential energy.
and, Potential energy is lost and kinetic energy, or the energy of motion, is acquired as the skier starts the ascent down the hill.
Learn more about Kinetic Energy here:
https://brainly.com/question/26472013
#SPJ3
Help!!!! I will give brainliest.
Answer:
Step-by-step explanation:
Well lets try to simplify this.
-3y= -4x +17
y=4/3 x - 17/3
Thus y-int is (0, -17/3)
To solve for x-int, y=0
y=4/3 x - 17/3
0=4/3 x - 17/3
4/3 x = 17/3
x=17/4
Thus x-int is (17/4, 0)
From 94 miles to 34 miles
Answer:
huh
Step-by-step explanation:
6) Jesse is buying a home for $450,000 at 7.8% interest and Jesse is putting 30% down? He wishes to buy 3 points what is the cost of the points?
Answer:
$9450
Step-by-step explanation:
Given that:
The price of the home = $450000
The interest = 7.8%
Down payment = 30% of price of the home
i.e 0.3 × 450000 = 135000
The principal outstanding balance = 450000 - 135000
= 315000
Finally, the cost of 3 points will be;
[tex]= 315000 \times \dfrac{3}{100}[/tex]
= $9450
WILL GIVE BRAINLIEST AND 100 POINTS FOR FIRST CORRECT ANSWER
MP _____ PK
Choose the relationship symbol to make a true statement.
Answer:
give the person above brainliest
Step-by-step explanation:
helpppppppppppppppppp
Answer:
addition
Step-by-step explanation:
if you add the 4 to the -2 you will get x=2 therefore isolating the variable
PLS someone help me im trying to get a 80% so i can finish this!
You roll a 6-sided die. What is P(less than 3)? Write your answer as a fraction or whole number.
Answer:
any number less than 3
Step-by-step explanation:
Plzz help meeee quickkk!!!
Answer:
[tex]D.x=35[/tex]
Step-by-step explanation:
[tex]As\ we\ observe\ that,\ all\ sides\ of\ the\ triangle\ are\ marked\ equal,\ the\ triangle\\ provided\ is\ equilateral.\\This\ implies\ that\ all\ the\ angles\ of\ an\ equilateral\ triangle\ are\ equal\ and\\ measure\ 60\ degree.[Through\ Angle\ Sum\ Property]\\Hence,\\(2x-10)=60\\2x-10+10=60+10[Adding\ 10\ to\ both\ the\ sides]\\2x=70[Simplifying]\\x=\frac{70}{2}[Dividing]\\x=35[Finding\ the\ value\ of\ x]\\[/tex]
Solve the system of equations x + y = 12 and x + 7y = -20 by combining the
equations.
Answer:
this will be 12
Step-by-step explanation:
since you said =12
The cost of a dvd in dollars can be represented by the expression 18-d where d is the discount amount. Use the distributive property to write and simplify an expression for the cost of 3 dvds
Answer:
54 - 3d
Step-by-step explanation:
In order to find the cost of 3 DVDs we would simply need to multiply the expression given by 3. In order to do so we must use the distributive property and distribute the 3 to both the initial price of the dvd and the discount price, like so...
3(18 - d) ... in order to distribute we multiply 3 by 18 and then by d seperately
(3 * 18) - (3 * d)
54 - 3d
That would leave us the expression 54 - 3d
What is the equation of the following line written in slope-intercept form?
y = 5x
y = -5x
y =
Answer:
_+5 is the best way to get the best way answer
can someone please help me
Answer:
x=1
Step-by-step explanation:
Need help!!!!!! ASAP
Answer:
og
Step-by-step explanation:
what is the answer for -2p > -16
Answer:
p<8
Step-by-step explanation:
We multiply both sides by -1 to get
But remember, when you do that you reverse it, so we turn > into a <
2p<16
we divide both sides by 2
p<8
Hope this helps :)
Answer:
p < 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2p > -16
Step 2: Solve for p
Divide -2 on both sides: p < 8Here we see that any number p smaller than 8 would work as a solution to the inequality.
Construct an equilateral triangle of side 7cm and construct circumcircle.
Can anyone help me with this , I have to sumbit my PROJECT.
THanks
Answer:
To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.
Step-by-step explanation:
With a ruler and a pencil, draw a 7cm line.With a compass set to a radius of 7cm draw an arc centered around the right end of the line.With the same compass, still at 7cm, draw an arc centered around the left end of the line.These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.Where those arcs intersect is the third point on your triangle. Mark that, and then trace two lines from that point to either end of the line segment you started with.You now have an equilateral triangle with 7cm sides. Next you need to draw the circle
Measure the halfway point on two of your three lines.Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.You have now drawn two line segments, and they intersect in the center of the circle. Now take your compass and set its radius to the distance from that center point to one of the three corner points.Centered on that middle point, trace a circle with the selected radius.And you're done!