Answer:
5
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
multiply 25×6 =150
subtract 150-22 = 128
128÷4
32
Darren has a piece of wood that is 7 in by 8 in. Explain how he can divide this large rectangle into two small rectangles
Answer:
Cut it in half so that the two pieces are each 7 in by 4 in.
Section #1: Solvi
1) Find the solution to each equation
A) 4(2x - 1) = -3x + 32
what is the answer
Answer:
x=36/11
Step-by-step explanation:
4(2x-1)=-3x+32
8x-4=-3x+32
8x-(-3x)-4=32
8x+3x-4=32
11x-4=32
11x=32+4
11x=36
x=36/11
Which graph shows the strongest positive correlation?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
C
Step-by-step explanation:
The grocery store sells 3 packages of biscuits for $1.35. At this rate, how much will 8 packages of biscuits cost?
A
$3.60
B
$10.80
C
$12.35
D
$17.78
Answer:
the answer is A
Step-by-step explanation:
1.35 divided by 3 = 0.45
0.45 multiplyed by 8 = $3.60
How do you express 1/2% as a decimal?
Fill the blanks.
__ divided by 100 = __
To find 1/2% as a decimal we can divide this by 100. (This is shown in the question)
1/2 = 0.5
0.5 / 100 = 0.005 (0.5% divided by 100 = 0.005)
_______
Best Regards,
Wolfyy :)
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts. How many kilometers of thread will it take to make 8 boxes?
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Step-by-step explanation:
The proportion will be used to find the measurement of thread
Given
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts.
Now,
As there are more boxes, more thread will be needed. So it is a direct proportion
So,
[tex]Km:box::Km:box\\3\frac{1}{3}: 3\frac{1}{2}::x:8\\\frac{10}{3}:\frac{7}{2}::x:8\\\frac{\frac{10}{3}}{\frac{7}{2}} = \frac{x}{8}\\\frac{10}{3} * \frac{2}{7} = \frac{x}{8}\\\frac{20}{21} = \frac{x}{8}\\x = \frac{20}{21} * 8\\x = \frac{160}{21}\\x = 7\frac{13}{21}[/tex]
Hence,
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Keywords: Unit rate, conversion
Learn more about conversion at:
brainly.com/question/10941043brainly.com/question/10978510#LearnwithBrainly
A student claims that a linear-quadratic system of equations has three solutions. Explain the error the student made.
Step-by-step explanation:
A line and a quadratic (parabola) can have either 0, 1, or 2 solutions.
0 solutions: the line and quadratic do not intersect.1 solution: the line and quadratic are tangent (intersect at one point), or the line is the axis of symmetry (intersects only at the vertex).2 solutions: the line and quadratic intersect at two points.It is impossible for a linear-quadratic system to have more than 2 solutions.
What can you conclude about the relationship between the time spent watching tv and the grades received on the quiz?
Answer:
Step-by-step explanation:
It's perfectly logical that as the number of hours spent watching TV increases, the grades received on the quizzes drop. There's a negative correlation between the two variables.
The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the area of the blue rectangle is 24 square inches.
A. Write an expression for the area of the entire figure that includes an exponent. Then find the area.
B. Find the dimensions of the entire figure.
Answer:
A. (2 × 6) + (3 × 8) + 6²
72 sq. inches.
B. 9 in. by 8 in.
Step-by-step explanation:
The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.
So, the dimension of the green shape is 6 in. by 6 in.
Therefore, the length of the blue shape is (6 + 2) = 8 in.
Now, given that the area of the blue shape is 24 sq. in.
So, the width of the blue shape is [tex]\frac{24}{8} = 3[/tex] in.
Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.
= (2 × 6) + (3 × 8) + 6² (Answer)
= 12 + 24 + 36
= 72 sq, inches. (Answer)
Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.
Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)
Identify whether the number is prime or composite. If the number is composite, then identify the factors. 41
Answer:
Prime number
Step-by-step explanation:
41 is a prime number.
How to test:
Divide 41 by every whole number from 1 until about it's square root.
√41 is about 6.4, round up to 7.
If any quotient is not a decimal number, 41 is not prime.
41/2 = 20.5
41/3 = 13.7
41/4 = 10.25
41/5 = 8.2
41/6 = 6.8
41/7 = 5.9
These are all decimal numbers.
Step-by-step explanation:
The answer would be A
What is an equation that represents the line that passes through the point (-2, 2) and is parallel to
Y=1/2X+ 8?
Answer:
[tex]y = \frac{1}{3}x + 3[/tex]
Step-by-step explanation:
The slope of two parallel straight lines are the same.
Now, the slope of the line [tex]y = \frac{1}{2} x + 8[/tex] is [tex]\frac{1}{2}[/tex] as the straight line equation is in slope-intercept form.
Now, the equation of the straight line in slope-intercept form which is parallel to the above line is [tex]y = \frac{1}{2} x + c[/tex] ............. (1) , where c is any constant.
Now, point (-2,2) is on the line (1) {Given}
So, this point will satisfy the equation.
Hence, [tex]2 = \frac{1}{2} (- 2) + c[/tex]
⇒ c = 3.
Therefore, the equation of the required straight line is [tex]y = \frac{1}{3}x + 3[/tex] (Answer)
Lashonda worked for 13 hours each day for 5 days. Then the next day she worked 6 hours. How many hours did Lashonda work in all?
Answer: 71 hours
Step-by-step explanation:
What the sum of -1 2/3÷(2 1/5)
Answer:
-20/21
Step-by-step explanation:
Can someone help me and explain to me what to do
Answer:
25.12^2
Step-by-step explanation:
So, you are being asked to find the area of the circle. It says that the area is equal to pi times the radius squared, which would be pie times the diameter, or d.
So the diameter is 8 cm.
It tells you to use 3.14 for pi.
8 x 3.14= 25.12^2
So the area of the circle would be 25.12^2, and you would keep it like that.
Hope this helps!
(BTW, pi is the symbol at the bottom, where is says A= pi R^2)
Answer:
50.24
Step-by-step explanation:
Area of a circle is:
A = πr²
where π is approximately 3.14, and r is the radius of the circle (half the diameter).
The diameter is 8 cm, so the radius is 4 cm. Therefore, the area is:
A = π (4 cm)²
A = 50.24 cm²
Please help quick will give brainliest
Answer:
a(1) = 8, a(n + 1) = a(n) + 5
Checking this:
a(2) = a(1) + 5 = 8 + 5 = 13
a(3) = a(2) + 5 = 13 + 5 = 18
a(4) = a(3) + 5 = 18 + 5 = 23
a(5) = a(4) + 5 = 23 + 5 = 28
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
Write an equation to determine the number of friends (x) at Jack's party.
Find the number of friends at Jack's party.
friends
Answer:
Equation: 3x + 2 = 50
# of friends: 16
Step-by-step explanation:
3 chocolates each or 3x because what "each" means is not known yet-
3x
Note: Always use x for an unknown value
2 remaining chocolates-
3x + 2
50 total chocolates-
3x + 2 = 50
Remove two to keep the x alone-
3x = 48
Remove the 3 or the "Coefficient" by dividing-
48/3 = 16
x = 16
Equation: 3x + 2 = 50
# of friends: 16
In a school with 400 students, 120 ride the bus to school. What percent of the students ride the bus to school?
Answer:
30%
Step-by-step explanation:
120/400= 0.3
0.3x100=30
please help solve
25 increased by twice a number. Use the variable n to represent the unknown number.
Answer:
25 + 2n
Step-by-step explanation:
25 increased by twice the number n.
25 increased by 2 x n
25 + 2n
After 56 cans of soup were sold, a clerk moved the remaining cans to a display
case. The display case had shelves that could each hold 9 cans. How many
shelves were needed to fit all the remaining cans?
Answer:
(x - 56) / 9
Step-by-step
We represent the original number of cans of soup by the variable x. After 56 cans of soup were sold, the remaining number of cans of soup is x - 56. Since we have shelves that can hold 9 cans, the number of shelves needed to fit all the remaining cans is
Find the value for θ.
sinθ=cos(θ−18.5)
Question 6 options:
35.75°
71.5°
54.25°
161.5°
Answer:
[tex]\theta=54.25\°[/tex]
Step-by-step explanation:
we know that
When the sine of angle X is equal to the cosine of angle Y, then angle X and angle Y are complementary angles
so
[tex]X+Y=90\°[/tex]----> equation A
In this problem
[tex]X=\theta[/tex]
[tex]Y=(\theta-18.5)[/tex]
substitute in the equation A
[tex]\theta\°+(\theta-18.5)\°=90\°[/tex]
[tex]2\theta=90+18.5[/tex]
[tex]2\theta=108.5[/tex]
[tex]\theta=54.25\°[/tex]
Can someone help me solve #4! Please and thank you! :)
Answer:
X=16
Step-by-step explanation:
Line QT is congruent with line RS, while line RQ is also congruent with line TS. All in all, each line is congruent to the other. Meaning all sides equal the same amount. We know that angle measure must equal 180, so you must take 3x+5+9x-17=180. Then you will get the variable X to equal 16.
Every 2 days Andy takes out the trash.Every 3 day he sweeps the kitchen.what is the least number of days that will pass before Andy will have to do both chores together on the same days?
Answer:
The least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.
Step-by-step explanation:
Let us start from the initial day.
Every 2 days Andy takes out the trash.
So, the days he takes out trash are second day, fourth day, sixth day , eighth day , tenth day and so on.. (1)
Every 3 days Andy sweeps the kitchen.
So, the days he sweeps the kitchen are third day, sixth day , ninth day , twelfth day and so on.. (2)
Now, on comparing both equations (1) and (2) we see the first common day to both the chores is SIXTH DAY.
Hence, the least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.
Eve split 42 marbles between herself and 5 friends. Her mom then gave her 2 more packs of marbles with 4 in each. How many does she now have?
Answer:
$15
Step-by-step explanation:
Solve for b 2/3+5=20-b
Answer:
b=43/3
Step-by-step explanation:
2/3+5=20-b
2/3+15/3=20-b
17/3=20-b
b=20-17/3
b=60/3-17/3
b=43/3
Prove LO bisects angle MLN and identify which given statement is unnecessary.
Given:
LM = LN, KM = KN, KO bisects angle MKN
What we want to prove:
LO bisects angle MLN
=====================================
Proof:
Statement 1: KM = KN
Reason 1: Given
---------------------
Statement 2: KO bisects angle MKN
Reason 2: Given
---------------------
Statement 3: Angle MKO = Angle NKO
Reason: Definition of angle bisection
---------------------
Statement 4: KO = KO
Reason 4: Reflexive property of congruence
---------------------
Statement 5: Triangle MKO = Triangle NKO
Reason 5: SAS postulate
note: this combines statements 1, 3, and 4 (for the "S", "A", and "S" in that order)
---------------------
Statement 6: MO = ON
Reason 6: CPCTC
note: CPCTC stands for "corresponding parts of congruent triangles are congruent"
---------------------
Statement 7: Angle KOM = Angle KON
Reason: CPCTC
---------------------
Statement 8: OL = OL
Reason 8: Reflexive property of congruence
---------------------
Statement 9: Triangle MOL = Triangle NOL
Reason 9: SAS postulate
note: used statements 6, 7, 8 for the "S", "A", "S" in that order
---------------------
Statement 10: Angle MLO = Angle NLO
Reason 10: CPCTC
---------------------
Statement 11: LO bisects angle MLN
Reason 11: Definition of angle bisection
---------------------
That concludes the proof. We did not use the statement "LM = LN", so it is unnecessary.
To prove that LO bisects angle MLN, we can use the Angle Bisector Theorem. According to this theorem, if a line bisects an angle, it divides the opposite side into two segments that are proportional to the adjacent sides of the angle. We can prove this by using the given information and applying the theorem.
Explanation:To prove that LO bisects angle MLN, we can use the Angle Bisector Theorem. According to this theorem, if a line bisects an angle, it divides the opposite side into two segments that are proportional to the adjacent sides of the angle. In this case, LO is the angle bisector of angle MLN if and only if (MN/NO) = (ML/LO). We can prove this by using the given information and applying the theorem.
Given:
LO bisects angle MLNTLX TLTo prove:
LO bisects angle MLNProof:
Since LO bisects angle MLN, TLX and TL are alternate interior angles and are therefore congruent.In triangle MLN, using the Law of Sines, we can express the ratio of sides as follows: MN/sin(TLX) = ML/sin(TL)Since sin(TLX) = sin(TL) (by the congruent angles), we can simplify the expression to: MN/ML = sin(TLX)/sin(TL)According to the Angle Bisector Theorem, we know that TO/OL = TN/NL, which can be written as: OL/TN = LO/NLUsing the Sine Law in triangle OTL, we have: LO/sin(OTL) = TL/sin(LOT)Since OTL is congruent to TLX (by the congruent angles), we can simplify the expression to: LO/TL = sin(TLX)/sin(TL)Comparing the expressions MN/ML = sin(TLX)/sin(TL) and LO/TL = sin(TLX)/sin(TL), we can conclude that MN/ML = LO/TLTherefore, LO bisects angle MLN (by the Angle Bisector Theorem)So, we have proven that LO bisects angle MLN.
The given statement that is unnecessary for this proof is 'TLX TL' because it does not provide any additional information or requirement for proving that LO bisects angle MLN.
Please explain how you found the measure of angle one angle two and angle three and angle four
Answer:
IT IS ETHER A OR B BROBABLY
Step-by-step explanation:
The table shows how the number of cars, c, depends on the number people, t. How would you write this as an equation?
C T
2 1
3 4
4 7
5 10
t=3c-5 t=3c+5
t=5c+3 t=5c-3
Answer:
t = 3c - 5
Step-by-step explanation:
The relation between c and t is linear as the increase of the value of t is uniform for each unit increase in the value of c.
Now, any two points on the graph of the t = f(c) equation are sufficient to determine the equation.
Let the points are (2,1) and (3,4).
So, using two points formula of straight line we get the equation is
[tex]\frac{t - 4}{4 - 1} = \frac{c - 3}{3 - 2}[/tex]
⇒ t - 4 = 3(c - 3)
⇒ t - 4 = 3c - 9
⇒ t = 3c - 5 (Answer)
Eric is swimming along the surface of the sea. He uses
positive numbers to represent elevations above the
surface of the sea and negative numbers to represents
depths under the surface of the sea.
Mark is sitting on the deck of a ship above Eric, and Ariel
is diving beneath Eric.
Who could be at an elevation of -3 m?
Choose 1 answer:
©
Ariel
©
Eric
©
Mark
Answer:
Ariel
Step-by-step explanation:
Ariel is diving which is below the surface of the water
Answer:
ariel
Step-by-step explanation:
How many degrees would a kite need to be rotated to carry it onto itself?
ASAP Can someone help with this problems just I only need which formula do I used I just need for 4,5 and 6 just tell me the formulas for Law of Cosines
Explanation:
The formula for law of cosines is:
[tex]a^{2} = b^{2} + c^{2} - 2bc(cosA)[/tex]
This is written at the top of your paper.
The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.
Substitute all the information you know, then isolate the variable that you do not know.
When your formula is rearranged to look like this:
[tex]\frac{a^{2} - b^{2} - c^{2}}{- 2bc} = (cosA)[/tex]
Solve the left side and punch into your calculator:
cos⁻¹(left side) to find the angle A.