Answer:
18
Step-by-step explanation:
Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have
n + n + 3 + n + 6 + n + 9 + n + 12 = 105
5n + 30 = 105
5n = 75
n = 15
The second smallest number is n + 3 which is 15 + 3 = 18.
Answer:
18
Step-by-step explanation:
PLS I NEED HELP...THE PICTURES ARE IN ORDER (13 POINTS ) Question 1 Solve the following equation. Explain or show your reasoning. ---------------------------------------------------------------------------------------- Question 2 Solve the following equation. Explain or show your reasoning. ------------------------------------------------------------------------------------------ Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Clare's mistake and what is the solution to the equation?
Answer:
1 . x = 9,
2 . n = 4,
3 . Clare made an error in the 2nd step; Correct answer is y = - 65 / 11
Step-by-step explanation:
1 .
[tex]2 * ( x + 5 ) = 3x + 1 - Apply Distributive Property,\\\\2x + 10 = 3x + 1 - Subtract 2x from Either Side,\\10 = x + 1 - Subtract 1 from Either Side,\\\\x = 9,\\Conclusion; x = 9[/tex]
2 .
[tex]3 * ( n + 2 ) = 9 * ( 6 - n ) - Apply Distributive Property,\\\\3n + 6 = 54 - 9n - Add ( 9n ) on Either Side,\\12n + 6 = 54 - Subtract 6 from Either Side,\\\\12n = 48 - Divide Either Side by 12,\\n = 4,\\\\Conclusion; n = 4[/tex]
3 . Clare made an error in the second step ( 72 + 24y = 4y - 5 - 9y ) and to derive the correct solution, see the following steps below;
[tex]12 * ( 5 + 2y ) = 4y - ( 5 - 9y ),\\60 + 24y = 4y - 5 + 9y,\\65 + 24y = 4y + 9y,\\65 + 24y = 13y,\\\\65 = - 11y,\\y = - 65 / 11\\\\Conclusion; y = - 65 / 11[/tex]
Which proportion can be used to find the value of y?
OS =
○ = 1
12
=
10 = 1
12
Answer: [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]
Step-by-step explanation:
in the given figure, we can observe that both triangles are similar since they have two equal angles of 100° and 60° .[By AA similarity criteria]
Also, the corresponding sides of similar triangles are proportional.
As side with measure 8 in bigger triangle corresponds side with measure 4 on the smaller triangle. [shortest side]
Similarly, side with measure 14 in bigger triangle corresponds side with measure y on the smaller triangle. [longest side]
Using proportionality, we have
[tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]
Hence, the proportion can be used to find the value of y is [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex].
According to AA similarity criterion-, if any two angles of one triangle are equal to any two angles of the other, then the two triangles will be similar.work out (8x10^-3) x (2x10^-4)
Answer:
[tex]1.6 \times 10^{-6}[/tex]
Step-by-step explanation:
[tex](8 \times 10^{-3}) \times (2 \times 10^{-4})[/tex]
[tex]8 \times 2 \times 10^{-3} \times 10^{-4}[/tex]
[tex]16 \times 10^{-3+(-4)}[/tex]
[tex]16 \times 10^{-3-4}[/tex]
[tex]16 \times 10^{-7}[/tex]
[tex]1.6 \times 10^{-6}[/tex]
Answer:
(8 × 10^-3)× ( 2× 10 ^-4)
reorder the terms
You will get
(8 × 2) ( 10^ -3 × 10^-4)
Multiply
16 ( 10^ -3 × 10^-4)
Use the rules of indices
a^ b × a^ c = a^b+c
16(10^-3-4)
16(10^-7)
= 16 × 10^-7 or 1.6 × 10^-6 or 0.0000016
Hope this helps.
I need help, please.
Answer:
a
Step-by-step explanation:
11-9=2 and 2 times 7 is 14, 14 plus 12 is 26 ,and 26=26 is a true statement
Isabella solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 4x − 2x + 8 = 6x + 24 Distributive Property 2 2x + 8 = 6x + 24 Combine like terms 3 −4x + 8 = 24 Addition Property of Equality 4 −4x = 16 Subtraction Property of Equality 5 x = −4 Division Property of Equality Which step has an incorrect justification?
Answer:
step 3 has incorrect justification.
Step-by-step explanation:
because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.
Answer:
Step 3
Step-by-step explanation: Combine like terms but 8 is still in the left side, so combine like terms 3 has incorrect justification.
In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c.
sin52∘≈0.788
cos52∘≈0.616
tan52∘≈1.280
What is the measurement of AB?
In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11.
sin42∘≈0.67
cos42∘≈0.74
tan42∘≈0.90
What is the measurement of HI?
9514 1404 393
Answer:
AB = 16.25HI = 12.22Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relationships.
__
1. Cos = Adjacent/Hypotenuse
cos(52°) = AC/AB
AB = AC/cos(52°) = 10.01/0.616
AB = 16.25
__
2. Tan = Opposite/Adjacent
tan(42°) = GH/HI = 11/HI
HI = 11/tan(42°) = 11/0.90
HI ≈ 12.22
six copies of the sum of nine fifths and three.
Answer:
9/5+3/1
24/5 24/5 24/5 24/5 24/5 24/5
i think copies is a multiplication and sum is to add together so
6x(9/5+3)
9/5 is 1 whole and 4/5. 1 whole plus 3 wholes is 4 Wholes so it is 4 wholes and 4/5 which is 24/5.
6x24/5 is (6x24 is 144) so its 144/5 so its 28 wholes and 4/5.
Please answer this !
Answer:
50
Step-by-step explanation:
Using the experimental probability, first we have to find total amount paint then to find the amount of good quality forever paint we have to subtract the amounts of other paints from total amount.
Let x represents the amount of good quality forever paint sold.
Total amount of paint [tex]=48+45+35+39+33+x=200+x[/tex] ...(i)
Experimental probability of paint sold will be better quality durable paint is
[tex]P=\dfrac{\text{Amount of better quality durable paint}}{\text{Amount of total paint}}[/tex]
[tex]P=\dfrac{45}{\text{Amount of total paint}}[/tex]
It is given that experimental probability of paint sold will be better quality durable paint is [tex]\frac{9}{50}.[/tex]
[tex]\frac{9}{50}=\dfrac{45}{\text{Amount of total paint}}[/tex]
[tex]\text{Amount of total paint}=\dfrac{45\times 50}{9}[/tex]
[tex]\text{Amount of total paint}=250[/tex] ...(ii)
From (i) and (ii), we get
[tex]200+x=250[/tex]
[tex]x=250-200[/tex]
[tex]x=50[/tex]
Therefore, 50 gallons good quality forever paint is sold.
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 6.9
Step-by-step explanation:
We're going to use SOH CAH TOA.
If we look at the angle (58°), and see what the relevant sides of the triangle are, we can see that the hypotenuse (our known side) is the H (hypotenuse), and the side labelled 'x' (our unknown side) is the A (adjacent).
According to SOH CAH TOA, we'll use cos (C), since we're working with the adjacent and the hypotenuse.
The equation for CAH is cos (Ф°) = A/H
In this case, Ф = 58°, A = x, and H = 13
So cos (58°) = x/13
Solve for x by multiplying both sides by 13 and using your calculator to evaluate.
13 cos (58°) = x
x = 6.88895
To the nearest tenth, x = 6.9
Which of the following options best represent the equation of a function?
Select all that apply.
Options:
x + y = 16
x2 + y2 = 16
y = 2
x = 2
y = x2 + 2
y = |x + 2|
Please explain how you get your answer, ty
Answer:
y=2
x=2
y=x2+2
y= lx+2l
Step-by-step explanation:
This is because these are the simplest forms of the equation. seeing as a function is f(x) (which is the same as y) when an equation is equal to a single variable, it is "solved" for hat variable and therefore best represents the equation of the function :)
which of the following are true statements about a 30-60-90 triangle? cheack all that apply
Answer:
C and F
Step-by-step explanation:
Using this those are the only two that make sense
Answer:
Step-by-step explanation:
f(x)=-3(x-3)6(1/2)+6
Answer:
y=((−3(x−3))(6))( 1/2)+6
Step-by-step explanation:
Please help meeeeeeee
Answer:
the answer is Cccccccc
Answer: the answer is C
Step-by-step explanation:
PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER
Answer:
5 is the highest/greatest common factor
Step-by-step explanation:
For this, we'll factor it out:
=> 10a-25+5b
Taking 5 common
=> 5(2a-5+b)
Since All are divisible by 5, So 5 is the highest common factor.
Answer:
5
Step-by-step explanation:
What must be the factor of the polynomial function f(x) graphed on the coordinate plane below?
Answer:
D x+6 is the correct answer
Is 4.32332333... a rational or irrational number?
It is an irrational number, as it is neither terminating nor non-terminating recurring.
Answer:
It is irrational
Step-by-step explanation:
It is not terminating and it doesnt repeat it self
Check all of the ordered pairs that satisfy the equation below.
y= 6x
F.
Step-by-step explanation:
sorry i gusstn guesst it
Quadrilateral RSTU is a parallelogram. Which is the LEAST additional information needed to prove that RSTU is a rectangle?
a
The diagonals are congruent, and one angle is a right angle.
b
c
All four angles are right angles.
d
Both pairs of opposite sides are congruent, and all angles are right angles.
Answer:
B
Step-by-step explanation:
4. A picnic table is 9 feet long and 3 feet
wide. Write and solve an equation to find
the area of the rectangular surface of
the table.
Answer:
Step-by-step explanation:
Area = L * B = 9 * 3 = 27 square feet
The track team has a goal of running at least 21 miles per week during practice. The team meets for practice 4 days a week. Write and solve an inequality to show how many miles per practice they must run. Graph the solution. Please answer!
Answer:
5.25 miles per practice
Step-by-step explanation:
you have to divide 21 by 4 and you 5.25 you can also use a calculator to solve this problem out
1a Find the greatest common factor ( GCF ) of 6 and 9
1b Use the greatest common factor ( GCF ) you found in 1a
to simplify the expression 6b - 9k
Answer:
the GCF is 3 so 2b - 3k
Step-by-step explanation:
Answer:
1a) the GCF of 6 and 9 is 3.
1b) -9
Step-by-step explanation:
1a) The greatest commons factor is the greatest number that divides two numbers. 3 is the largest number that goes into both 9 and 6 evenly. Therefore, 3 is the GCF.
1b) 6*3=18 and 9*3=27
18-27=-9
If x^2= 12x – 7 is solved by completing the square, one of the steps in the process is
Answer:
Just pick one step below I guess...
Step-by-step explanation:
I'll just solve it because I don't know which step you're looking for.
Move everything except for the 7 to one side:
[tex]x^2-12x=-7[/tex]
Now take the square of half of the coefficient for the x and add it to both sides.
[tex]x^2-12x+36=29[/tex]
You can see that the side can now be factored.
[tex](x-6)^2=29[/tex]
[tex]x-6=\sqrt{29}[/tex]
[tex]x=\sqrt{29}-6, x=-\sqrt{29} -6[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
The given equation is:
[tex]x^2=12x-7[/tex]
The equation can be re-written as:
[tex]x^2 - 12x = -7[/tex]
Add [tex]6^2[/tex] to both sides of the equation
[tex]x^2-12x+6^2=-7+6^2\\\\x^2-12x+6^2=-7+36\\\\[/tex]
The expression can be further simplified as:
[tex](x-6)^2=29[/tex]
Take the square root of both sides
[tex]x-6=\pm\sqrt{29} \\\\x=6 \pm\sqrt{29}[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
Learn more on completing the square here: https://brainly.com/question/10449635
1
For physics class, Jada wants to know how the surface of different ramps
affects the maximum speed of a marble being rolled down the ramp. To
study this, she compares the maximum speed of a marble rolled down
ramps with different surfaces. She rolls the same marble down each type
of ramp 10 times. What type of study is this? *
O Survey
Observational study
O Experimental study
Answer:
The correct option is;
Experimental study
Step-by-step explanation:
We note that an observational study is one where the person who carries out the study only puts together data or observes the effect of a factor, an intervention or a test and comes to conclusion based on what is observed without trying to control the variables while an experiment involves the application of an intervention to the group and taking down the effects.
The conditions of the study is directly under the influence of the researcher in an experiment such that the cause and effect relationship of an event can clearly be proved
Therefore, Jada is performing an experimental study.
A plan shows a length 3cm. If the scale is 2cm:5m-what is the actual length?
Answer:
7.5m
Step-by-step explanation:
1cm:2.5m
3cm:7.5m
Answer this question - Easy Question, Easy Points
Explanation please
Answer:
21
Step-by-step explanation:
Answer:
the answer is 21
Step-by-step explanation:
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes).
118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118
What is the IQR?
Which graph corresponds to y=1/2|x+2/3|+7
Answer:
Graph the absolute value using the vertex and a few selected points.
x y
-2 7.67
-1 7.17
0 [x+2 over 3] + 14
2
1 7.83
2 8.33
hopes this helps :)
hi whats the answer for this
Answer:
a) square pyramid
b)sphere
c)cube
d) pyramid
Step-by-step explanation:
Answer:
Step-by-step explanation:
A: square based pyramid
B: sphere
C: Cube
D: Tetrahedron
Please help!!! thank youu
Answer:
38.2
Step-by-step explanation:
The total number of people who prefer burgers is
26+42 =68
The number who are female is 26
The fraction of women that prefer burgers is
26/68 =.382352941
Changing to a percent
38.2%
can 20 degrees 60 degrees and 100 degrees be a triangle
Answer: Yes
Step-by-step explanation: The area of a triangle equals 180°
100+60+20=180
Answer: Yes
Explanation: The sum of the measures of the angles is always 180°
This idea is known as the (Triangle Sum Theorem).
Since 20 + 60 + 100 is equal to 180, we know
that these measures can form a triangle.
