Step-by-step explanation:
6 - 4a < 2
6 - 2 < 4a
4 < 4a
1 < a
6 - a > 2
6 - 2 > a
4 > a
3a - 1 < 8
3a < 8 + 1
3a < 9
a < 3
9. Mr. Hernandez dilates the triangle shown below by a scale factor of 2 with the origin as the center to obtain .
Two of his students wrote the following statements about the triangles.
Student 1: and are similar right triangles; therefore, . Student 2: and are similar right triangles; therefore, . Which of Mr. Hernandez's students wrote a correct conclusion about the two triangles?
A. only student 1
B. only student 2
C. both student 1 and student 2
D. neither student 1 nor student 2
Answer:
Only student 2
Step-by-step explanation:
Answer: B
Step-by-step explanation: I took the test
True or false? And why? The value of |x +1| is greater than or equal to 0
True.
The absolute value of anything is the distance that value is away from zero.
For instance, |-5 + 1| = 4
As we can see, any number that we plug into this equation will always be a number equal to or greater than zero.
What is the value of y?
This triangle is isosceles. The bottom 2 angles are the same.
180= 54+2y
126=2y
y=63
Answer:follow key h!gh on tik tok
Step-by-step explanation:
You ask your dad or mom os search it on google also follow key_h1gh on tok tok㏒ₓₓₓYou are reducing a map of dimensions 24 in. by 36 in. to fit onto a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?
We have
scale factor
\(\frac{24}{36}=\frac{2}{3}\)The largest side 10 in
Then we need to obtain the shortest side
\(\frac{2}{3}=\frac{x}{10}\)\(x=\frac{2\cdot10}{3}=\frac{20}{3}=6\frac{2}{3}\)Therefore the dimensions of the largest possible map are
6 2/3 in by 10 in
A dwarf decides to visit three of her friends. She carries 7 apples in a sack. To reach her 1st friend she has to cross a magic river. After crossing the river, the number of apples in her sack doubles. She then gives her 1st friend a number of apples. She continues her journey and then crosses the 2nd magic river. The number of apples doubles again. She gives her 2nd friend the same number of apples. She crosses the 3rd magic river. Again the number of apples doubles. She visits her 3rd friend and gives the same number. again. This time there are NO apples left.
•What number did she give to each friend?
• Investigate with different start numbers. • What numbers work out neatly?
Answer:
She gave 8 apples to each friend.
Step-by-step explanation:
2{[2(14-x)]-x} = 0 Distribute the 2
2[28-2x -x) -x = 0 Combine like terms
2(28 -3x) -x = 0 Distribute the 2
56 - 6x - x= 0 Combine like terms
56 -7x = 0 Subtract 56 from both sides
-7x = -56 Divide both sides by -7
x = 8
Check:
7 x 2 = 14
14 - 8 = 6
6 x 2 = 12
12 - 8 = 4
4 x 2 = 8
8 - 8 = 0
Checks.
Helping in the name of Jesus
3. Brad receives 5 cents for each can or bottle he recycles. How many cents does Brad earn if he recycles 48 cans and 32 bottles?
Step-by-step explanation:
given,
cents received after recycling 1 bottle or can = 5 cents
if Brad recycles 48 cans and 32 bottles than he will receive,
48 × 5 = 240 & 32 × 5 = 160
240 + 160 = 400
therefore, if Brad recycles 48 cans and 32 bottles than he will receive 400 cents.
Hope this answer helps you!
Answer:
your answer is
given,cents received after recycling 1 bottle or can = 5 centsif Brad recycles 48 cans and 32 bottles than he will receive,48 × 5 = 240 & 32 × 5 = 160240 + 160 = 400therefore, if Brad recycles 48 cans and 32 bottles than he will receive 400 cents.
hope it’s helps you Buddy
Step-by-step explanation:
~Zayn
I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
Find the volume and surface area of each prism 3cm by 3cm by 3cm
Answer:
3 x 3 x 3= 18 so 18cm squared
Step-by-step explanation
Answer:
Volume =27cm³
Total surface area=54cm²
Step-by-step explanation:
Formula for finding volume of an object is Volume =length×breadth×height
so V=3cm×3cm×3cm=9cm²×3cm=27cm³ because the cm is three so it will become cube.
Formula for finding the total subject of an object is T.S.A meaning total surface area=2((length ×breadth)+(length×height)+(breadth ×height))
so it will be 2((3cm ×3cm)+(3cm ×3cm)+(3cm ×3cm)) calculate and if you any problem let me know.
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 84 square inches. Solve for the dimensions (length and width) of the poster.
Step-by-step explanation:
w = width
2w + 2 = Length
Area = W x L = 84 = w (2w+2)
84 = 2w^2 + 2w
0 = 2w^2 + 2w - 84 Use Quadratic Formula
a = 2 b=2 c = -84
to find
W = 6 then L = 14 inches
What is the area of a rectangle that is 5 meters long and 8 meters wide?
26 m2
35 m2
13 m2
40 m2
Answer:
D. 40 m²
Step-by-step explanation:
To find the area of a rectangle, simply multiply the length (5 meters) and the width (8 meters)
5×8=40
So, the area is 40 m²
a backpack that normally sells for $40 is on sale for $30. find the percentage of a change.
Answer:It would be 40•.25=10
Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off
PLEASE PPL ARE GETTING IT WRONG!!!
Answer:
0.59
Step-by-step explanation:
the process is of unitary method
Solve for x and graph the answer on a number line
2
The solution to the system of inequalities in interval notation is [-2, 1].
How to solve the system of inequalities?Based on the information provided in the image below, we have the following system of inequalities;
-12 < 3x - 6
-3 ≥ 3x - 6
By adding 6 to both sides of the equation (inequality), we have;
-12 < 3x - 6
-12 + 6 < 3x - 6 + 6
-6 < 3x
-2 < x
x > -2 (flip)
-3 ≥ 3x - 6
-3 + 6 ≥ 3x - 6 + 6
3 ≥ 3x
1 ≥ x
x ≤ 1
Therefore, the solution to the system of inequalities is given by:
-2 < x ≤ 1
In interval notation, we have [-2, 1].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Who has the most money based on the table below?
pleaseeeee helppppp meee
Ignore the other questions I just need help with numbers 18 and 25 how do you work it out please help me out I would of have helped you
Answer:
25. -7/5 \(\leq\) x \(\leq\) 1
Step-by-step explanation:
18:
\(5-|x|\leq 2\\-|x| \leq -3\\|x|\leq 3\\x\geq -3\)or \(x\leq 3\)
25:
\(3|5x+1|-6\geq 12\\3|5x+1|\geq 18\\|5x+1|\geq 6\\x\leq -7/5\)or \(x\geq 1\)
\(-7/5\leq x\leq 1\)
I don't think I explained this well let me know if you need more explanation.
it is math for evaluating functions please help
The domain of the given function is; (0, 2)
The range of the given function is; (-2, 6)
What is the range and domain of the given function?We want to evaluate the function f(x) = 4x - 2 for x = 0, 1 and 2.
Step 1;
f(0) = 4(0) - 2
f(1) = 4(1) - 2
f(2) = 4(2) - 2
Step 2;
f(0) = 0 - 2 = -2
f(1) = 4 - 2 = 2
f(2) = 8 - 2 = 6
The domain is the set of all possible input values which is (0, 2)
The range is the set of all possible output values which is (-2, 6)
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Six times a number is greater than 20 more than that number. What are the possible values of that number?
\(n < 4 \\ n > 4 \\ n > \frac{20}{7} \\ n < \frac{20}{7} \)
Answer:search up
Step-by-step explanation:
Answer:
x > 4
Step-by-step explanation:
6x > 20 + x
subtract x from both sides
5x > 20
divide both sides by 5
x > 4
x > 4 is your answer
-Chetan K
Can someone help me??!!
Answer:
the third one.
Step-by-step explanation:
Answer:
the answer is c :)
Step-by-step explanation:
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
what percent of factors of 21! are odd?
Step-by-step explanation:
here's the answer, all of them
write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
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Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
7%of£40
show working out plz
Answer:
7% of 40 is 2.80
Step-by-step explanation:
0.07 x 40 = 2.8
Answer:
17.5%
Convert fraction (ratio) 7 / 40
then divide 7 by 40 and multiply by 100 and you get 17.5%
plz mark brainliest
Two trains, Train A and Train B, weigh a total of 526 tons. Train A is heavier than Train B. The difference of their weights is 466 tons. What is the weight of each train?
Answer:
Train A = 466
Train B = 60
Step-by-step explanation:
How many solutions does -2 + 5p + 10 = 10 + 3p have?
Answer:
Only 1 solution
Step-by-step explanation:
-2 + 5p + 10 = 10 + 3p
Subtract 10 from both sides:
-2 + 5p + 10 -10 = 10 + 3p- 10
Simplify:
-2+5p=3p
Add 2 to both sides:
-2+5p+2=3p+2
Subtract 3p from both sides:
5p-3p=3p+2-3p
simplify:
2p=2
Divide both sides by 2:
2p/2=2/2
Simplify:
p=1
Please help........ i need help
Answer:
x = 30
Step-by-step explanation:
x/2 = 12 + 3
x = 2(12+3)
x = 30
find the slope pf the line passing through the points -2,-7 and 3,5
Answer:
slope = 12/5 or 2.4
Step-by-step explanation:
(-2,-7), (3,5)
(5 - (-7) / 3 - (-2)) = (12 / 5)
slope = 12/5 or 2.4
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
15. Kate has 63 pens. She gives all the pens to her 9 friends. Each friend gets
the same number of pens.
Kate said that when she divided the number of pens that each friend got by 9,
the answer was equal to 63. Her friend Margo said that when the number of
pens each friend got was multiplied by 9, the answer was equal to 63.
Which girl is correct? Explain your answer. I will mark as brainlist and vote if you answer
The girl which is correct between kate and her friend Margo is Margo.
The correct answer option is option B
How to multiply?Number of pens Kate has = 63Number of Kate's friends = 9If each friend gets the same number of pens;
Number of pens each friend get = Number of pens Kate has / Number of Kate's friends
= 63 / 9
= 7
Check:
Number of pens each friend get × Number of Kate's friends = Number of pens Kate has
7 × 9 = 63
Therefore, Kate's friend, Margo is correct.
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The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !