HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPP
Part A: Write an algebraic expression for 6 more than 7 times a number.
Part B: Write a verbal expression for 3(n + 8).
Answers
B) The product of 3 and the sum of a number and 8.
Related Questions
Can somebody help/teach me about this please?
“Suppose the equation h=-16t^2 + 35t models the altitude a football will reach t seconds after it is kicked. IS THE GIVEN VALUE POSSIBLE?”
A: h= 16 ft. B: h= 20ft.
Answers
We know from our problem that the given value is [tex]h=16[/tex], so lets replace that value in our equation and solve for [tex]t[/tex]:
[tex]h=-16t^2+35t[/tex]
[tex]16=-16t^2+35t[/tex]
[tex]16t^2-35t+16=0[/tex]
Solving for [tex]t[/tex]:
[tex]t=1.54[/tex] or [tex]t=0.65[/tex]
We can conclude that the given value, h=16, is possible. In fact, the ball reaches that height two times: at [tex]t=0.65[/tex] and [tex]t=1.54[/tex].
B. Just like before, we are going to replace the given value, [tex]h=20[/tex], in our equation [tex]h=-16t^2+35t[/tex], and then, we are going to solve for [tex]t[/tex] to check if the given value is possible. If the equation has any positive real solutions, we can conclude that the given value is possible.
[tex]h=-16t^2+35t[/tex]
[tex]20=-16t^2+35t[/tex]
[tex]16t^2-35t+20=0[/tex]
Solving for [tex]t[/tex]:
[tex]t= \frac{35+i \sqrt{55}}{32} [/tex] or [tex]t= \frac{35-i \sqrt{55}}{32} [/tex]
Since the equation doesn't have any real solutions, we can conclude that the given value, h=20, is not possible.
The given value h=16 ft is possible based on the quadratic equation model provided. By solving the equation h=[tex]-16t^2 + 35t[/tex] and substituting h=16, we find the possible values of t to be approximately 0.52 seconds or 1.48 seconds.
- For each given value of h, set [tex]\( h = -16t^2 + 35t \)[/tex] and solve for t.
- If you obtain real solutions, the given h is possible. If not, it isn't possible.
Checking for h=16:
1. Set h=16 and solve for t:
[tex]\[ 16 = -16t^2 + 35t \][/tex]
2. Rearrange to form a quadratic equation:
[tex]\[ -16t^2 + 35t - 16 = 0 \][/tex]
3. Solve for \( t \) using the quadratic formula:
[tex]\[ t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
where a= -16, b=35, c=16.
- Find the discriminant:
[tex]\[ b^2 - 4ac = 35^2 - 4 \times (-16) \times (-16) = 1225 - 1024 = 201 \][/tex]
Since the discriminant is positive, this quadratic has real roots, indicating that h=16 is possible.
Checking for h=20:
1. Set h=20 and solve for t:
[tex]\[ 20 = -16t^2 + 35t \][/tex]
2. Rearrange to form a quadratic equation:
[tex]\[ -16t^2 + 35t - 20 = 0 \][/tex]
3. Solve for t using the quadratic formula:
[tex]\[ t = \frac{-35 \pm \sqrt{35^2 - 4 \times (-16) \times (-20)}}{2 \times (-16)} \][/tex]
- Find the discriminant:
[tex]\[ 35^2 - 4 \times (-16) \times (-20) = 1225 - 1280 = -55 \][/tex]
Since the discriminant is negative, this quadratic has no real roots, indicating that h=20 is not possible.
Conclusion:
- The value h=16 is possible.
- The value h=20 is not possible.
Can anybody correct me if I'm wrong? (I might be mixing my answers / questions up a bit) I also need more to be checked but anyways I'm very thankful for those who read into this.
Answers
#33 is the last one
Which triangles are congruent by ASA
Answers
Answer: ΔHGF≅ ΔABC
Step-by-step explanation:
ASA congruence postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of next triangle then the triangles are congruent.In the given figure ΔABC and ΔHGF have the pair of two corresponding angles and the included sides are congruent.
i.e.[tex]\angle{C}\cong\angle{F}[/tex]
[tex]\overline{GF}\cong\overline{BC}[/tex]
tex]\angle{G}\cong\angle{B}[/tex]
Therefore , by ASA congruence postulate:-
ΔABC ≅ ΔHGF
In ΔTUV , there is only angle given . So there is no enough information to prove it by ASA.
PLEASE HELP ASAPPPPP
A piece of cardboard has two circles punched out of it.
What is the approximate area of the remaining cardboard? Use 3.14 for pi and round to the nearest whole number.
Answers
(area of rectangle) - 2(area of circle)
There is a 2 in front of the area of the circle, since there are two identical circles punched out of the rectangle.
First, find the area of the rectangle. The area of the rectangle is given by the following formula:
length * width
You already have your two values for length and width. Plug those values into the formula:
[tex]14 * 18 = 236[/tex]
236 is the area of the rectangle.
Now we'll find the area of the circle.
The diameter of the circle is 2. The radius is one half of the diameter, so the radius is 1.
The area of a circle is found with the following formula:
[tex]A = \pi r^{2}[/tex]
pi is equal to 3.14, so replace the pi symbol with the 3.14. Then, plug your radius into the equation.
[tex](3.14) * 1^{2} = 3.14[/tex]
The area of the circles is 3.14.
Plug your areas into the first equation above.
[tex]236 - 2(3.14) = 236 - 6.28 = 229.72[/tex]
The approximate area of the cardboard is 229.72.
If nick bought 5 apples for 4.45 what would be the cost for 7 apples
Answers
First, we need to divide 4.45 by 5
Which would give us - 0.89
Therefore, now we know that each apple costs $0.89
2 more apples would be 0.89 + 0.89 + 4.45 = 6.23
Therefore the answer is $6.23 = 7 apples
Hope this helps you!
~DL
WILL MARK BRAINLIST!!!!
Just need question 1 (i) and 2 (i), (ii)
Answers
y=4-2x and 4x+2y = 5 can be rewritten as:
y = -2x + 4
2y = -4x + 5
Multiply all 3 terms of the first eq'n by 2: 2y = -4x + 8
Note that 2y = -4x shows up in both equations. This is enuf info on which to conclude that the 2 lines have the same slope.
what decimal is equivalent to 6 %
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Write 806000000 in scientific notation
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Then when you move the decimal left it means it’s positive so you moved it over 8 times
Answer: 8.06 x 10^8
please help i will be the happiest person alive
100 points and branliest
Answers
Answer:
Q1: The correct option is: 16
Q2: The correct options are: [tex]\frac{AB}{DE}=\frac{AC}{DF}[/tex] and [tex]\frac{AC}{DF}=\frac{BC}{EF}[/tex]
Q3: The correct option is: [tex]\overline{BC}=12; \overline{EF}=16[/tex]
Step-by-step explanation:
Question 1:
As here [tex]\triangle RST\sim \triangle MNO[/tex], so the ratio of the corresponding sides will be equal. That means.....
[tex]\frac{RS}{MN}=\frac{RT}{MO}\\ \\ \frac{8}{x}=\frac{6.5}{13}\\ \\ 6.5x=8*13\\ \\ x=\frac{8*13}{6.5}=16[/tex]
So, the length of the side [tex]x[/tex] will be 16.
Question 2:
If two triangles are similar, then the ratio of their corresponding sides should be equal. So, here the ratios of the corresponding sides are............
[tex]\frac{AB}{DE}=\frac{1}{3} \\ \\ \frac{BC}{EF}=\frac{2}{6}=\frac{1}{3}\\ \\ \frac{AC}{DF}=\frac{2}{7}[/tex]
So we can see that the ratio of side [tex]AC[/tex] and side [tex]DF[/tex] is not equal with the other ratios.
Thus, the proportions that show the triangles are not similar: [tex]\frac{AB}{DE}=\frac{AC}{DF}[/tex] and [tex]\frac{AC}{DF}=\frac{BC}{EF}[/tex]
Question 3:
Given that, [tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
The ratio of [tex]AB[/tex] and [tex]DE[/tex] is given as [tex]\frac{3}{4}[/tex]
So, the ratio of [tex]BC[/tex] and [tex]EF[/tex] will be also [tex]\frac{3}{4}[/tex]
Among the four options, if [tex]BC=12[/tex] and [tex]EF=16[/tex], only then the ratio will be [tex]\frac{3}{4}[/tex]
[tex]\frac{BC}{EF} =\frac{12}{16}= \frac{3}{4}[/tex]
So, the lengths of [tex]BC[/tex] and [tex]EF[/tex] could be 12 and 16 respectively.
Answer:
the correct answer is c
Step-by-stepth explanation:
Completely simplify spare root of 24x^6
Answers
Answer:
Assuming x ≥ 0:
[tex] \sqrt{24 {x}^{6} } = \sqrt{24} \sqrt{ {x}^{6} } = \sqrt{4} \sqrt{6} \sqrt{ {x}^{6} } = 2 {x}^{3} \sqrt{6} [/tex]
the measures of two complementary angles have a ratio of 2:7 . what is the measure of the smaller angle
Answers
Answer:
The smaller angle is 20 degrees.
Explanation:
Complementary angles are two angles (or more) whose sum is 90 degrees.
If two angles have a sum of 90 degrees and their ratio is 2:7, we must determine which two numbers when added together would yield this proportion?
60 + 30 = 90 but 60:30 is a 6:3 ratio which simplifies to 2:1.
45 + 45 = 90 but 45:45 is a 1:1 ratio.
50:40 = 90 but 50:40 is a 5:4 ratio.
10 + 80 = 90, but 10:80 is a 1:8 ratio. We're getting closer!
20 + 70 = 90, and 20:70 can be simplified to 2:7 when you divide each number in the ratio their greatest common factor (GCF) of 10.
Therefore, the two complementary angles would be 20° and 70°, the smaller of which would be 20°
2(2x+9)=50 simplifyed
Answers
4x = 32
x = 8
whichever one XD
2(2x+9)=50
4x+18=50
4x=32
x=8
How many cubic feet of water can a 18 inch by 19 inch by 36 inch aquarium hold?
Answers
Volume = 18 x 19 x 36 = 12312 in³
Answer: 12312 in³
what is the value of 6/x +2x to the second power when x is 3
Answers
[tex]\dfrac{6}{x}+2x\to\dfrac{6}{3}+2\cdot3=2+6=8[/tex]
It costs $6 to take 1 dog to the dog beach. It costs $1 more for each additional dog.
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C=6+x
If x is equal to 1
C=6
Total cost = $6 + ($1/ each add'l dog) * (number of add'l dogs)
if the area of a square is 225 cm2, what is the length of the diagonal
Answers
15 x 15 = 225
base x height = area of a square or rectangle. or Side^2 for a square.
a hiker first hike down into a canyon 345 ft below sea level she then hike on her husband 50 ft of the side of the mountain what was the final altitude of the hiker
Answers
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 220 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.
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2L + 2w = 220
w = 2/3 L
We can input the w:
2(2/3 L) + 2w = 220
10/3L = 220
10L = 660
L = 66
The width is 44
The length is 66
(Please help me!)
Which type of probability is determined by considering all possible outcomes, without actually testing them?
A. Empirical probability
B. Theoretical probability
C. Unpredictable probability
D. Random probability
Answers
Reason: Theoretical probability is based on reasoning by counting the numbers of favourable outcomes against the number of possible outcomes.
Answer: B. Theoretical probability
Step-by-step explanation: Theoretical probability is based on calculations, and not actual tests.
4.5 divided by 0.5+0.1 in computation words
Answers
Explanation of dividing 4.5 by 0.5+0.1 in computation words.
4.5 divided by 0.5+0.1 can be written as:
4.5 / (0.5 + 0.1)
To solve this, we first add 0.5 + 0.1 to get 0.6. Then, we divide 4.5 by 0.6 to find the result.
The result of the computation is 7.35.
To compute the given expression[tex]\(14.5 \times 0.5 + 0.1\):[/tex]
Multiplication :
- Multiply [tex]\(14.5\)[/tex] by [tex]\(0.5\).[/tex]
- [tex]\(0.5\)[/tex] represents half, so you're essentially halving 14.5.
Half of [tex]\(14.5\) is \(7.25\).[/tex]
Addition :
- Now add [tex]\(0.1\) to \(7.25\).[/tex]
- The addition gives [tex]\(7.25 + 0.1 = 7.35.[/tex]
Thus, the result of the computation is 7.35.
Complete question : Write the computation in words: 4.5 divided by 0.5+0.1
whats the answer to this question
Answers
Distribute the -3 on the left:
-3x + 12 < 6 - 3x
Add 3x to both sides:
12 < 6
The x's cancel out leaving you a false statement, so there is no solution.
Answer: No solution.
A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola? y = -x2 - 1 y = -(x - 1)2 y = -(x + 1)2
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When it has a vertex shifted to the left by 1 (normally it would be at (0,0) this means the x² becomes (x+1)².
Combine these statements and D is the right answer! y = -(x+1)²
Answer:
The answer is D
Step-by-step explanation:
A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?
Answers
x-------> total weight of candies
we know that
x=(3/20)*x+1.2+(3/5)*x+0.3
x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb
the answer is
6 lb
Answer:
6 Pounds
Step-by-step explanation:
Above
What is the height of a rectangular prism that has a volume of 192 cubic feet and a base with an area of 48 square feet? Explain your work.
Answers
The volume of a rectangular prism has the formula: V=lwh
The area of the base of the rectangular prism is its length times its width; or
Area of base = lw
So, the volume of the rectangular prism can be written as:
Volume = area of the base * height
Substitute in your numbers:
192=48*h
h=192/48
h=4
So the height is 4 feet
The height of the rectangular prism is 4 feet.
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:
[tex]\[ \text{Volume} = \text{Base Area} \times \text{Height} \][/tex]
Given that the volume of the rectangular prism is 192 cubic feet and the base area is 48 square feet, we can set up the equation as follows:
[tex]\[ 192 = 48 \times \text{Height} \][/tex]
To solve for the height, we divide both sides of the equation by the base area:
[tex]\[ \text{Height} = \frac{192}{48} \][/tex]
[tex]\[ \text{Height} = 4 \][/tex]
Therefore, the height of the rectangular prism is 4 feet.
if you have the equation (x+3) squared = 43 when taking the square root of both sides how many solutions will you have
Answers
Answer
21.3 i think hope this can help
PLEASE HELP, ASAP!
Eumin pays $3.56 for 4 juice boxes.
How much would Eumin pay for 7 juice boxes?
Enter your answer in the box.
Answers
3.56 / 4 = 0.89
Now since each costs $0.89, you multiply that by 7
0.89 * 7 = $6.23
$6.23 is your answer
there are 200 end of the school year dance tickets available students who have perfect attendance are able to personage them in advance if 18 tickets were purchased in advance then what percent of the tickets were purchased in advance
Answers
The percentage of the tickets for the dance that were purchased in advance is 9%.
What is the percentage of the tickets that were bought in advance?Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %.
Percent of advance tickets bought = (number of advance tickets / total number of tickets) x 100
(18 / 200) x 100 = 9%
To learn more about percentages, please check: https://brainly.com/question/25764815
Rewrite this logarithm as a subtraction of logs
Log11 (29/11)
Answers
[tex] log_{11}( \frac{29}{11} ) \\ = log_{11}(29) - log_{11}(11) \\ \\ as \: log_{11}(11) = 1\\ \\ therefore \: \: it \: becomes \\ \\ =log_{11}(29) - 1[/tex]
Final answer:
To rewrite the given logarithm as a subtraction of logs, use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
Explanation:
The given logarithm is log11 (29/11). To rewrite this as a subtraction of logs, we can use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
So, log11 (29/11) can be rewritten as log11 (29) - log11 (11).
Which of the following is not a valid probability?
A 0.3
B 1
C 0
B 106
Answers
Jane buys People magazine at Walmart each week for $4.99. A 52 week subscription to the magazine is $203.84. How much would she save each week per magazine if she signed up for the subscription?
Answers
find total cost of purchasing the magazine each week for 52 weeks
= $4.99 * 52 weeks
= $259.48 total
STEP 2:
find difference between purchasing each week and the subscription price
= $259.48 - $203.84
= $55.64 difference/savings
ANSWER: She would save $55.64 if she purchased the subscription.
Hope this helps! :)