One-third of a number t is equal to 7.
Write the word sentence as an equation then solve
Answers
Answer:
21
Step-by-step explanation:
One third of the number can be represented by 1/3t.
To make an equation, set this equal to 7.
1/3t = 7
Then, solve for t by dividing each side by 1/3:
1/3t = 7
t = 21
So, the number is 21.
Related Questions
Solve the equation.
y + 3 = -y + 9
y= 1
y=3
y = 6
y = 9
Answers
Answer: y=3
Step-by-step explanation:
To solve the equation, we want to get the same terms onto the same side and solve.
y+3=-y+9 [add y on both sides]
2y+3=9 [subtract 3 on both sides]
2y=6 [divide 2 on both sides]
y=3
Answer:
y=3
Step-by-step explanation:
Scale factor of (9,12) and (6,8)
Answers
Answer:
3/2
Step-by-step explanation:
9/6 = 3/2
12/8 = 6/4 = 3/2
Hope this helps :)
M Find the range of possible diagonal lengths in a parallelogram with the given side lengths. 4. 3 and 12 5. x and 2x 6. x and x 812a, 25) F C12a + 2c, 25) The area of a parallelogram is given by the formula A=bh, where A is the area, b is the length of a base, and h is the height perpendicular to the base. ABCD is a parallelogram. E, F, G, and Hare the midpoints of the sides. 7. Show that the area of EFGH is half the area of ABCD. G A(0,0) D(200)
Answers
Here, we want to find the range of the diagonal length of a parallelogram measuring x by x units
From what we have, we can see that the sides are equal and what this mean is that we have a square with equal diagonal length from any of the sides
So to get the diagonal length, we use the Pythagoras' theorem since the dsigonal splits the square into two equal parts
Thus, we have;
\(\begin{gathered} d^2=x^2+x^2 \\ \\ d^2=2x^2 \\ \\ d\text{ = x}\sqrt[]{2} \end{gathered}\)If you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day!
If the points (0, 0), (-1, 1), and (-2, 2) lie on the graph of function h, then which of the following rules could represent the function?
h(x) = |x|
h(x) = x 2
h(x) = -2x
Answers
Answer:
\(h(x)=|x|\)
Step-by-step explanation:
The point \((-2,2)\) does not satisfy the other two options.
compare: These two equations
Answers
Using translation concepts, we have that:
Function f(x) underwent a reflection over the y-axis.Function g(x) underwent a reflection over the x-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.
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determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
Answers
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
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HEEELLLLPPP!
Whoever answers right will get brainliest!!!!!!!!!
Answers
Answer:
\(y =\frac{x}{4}\)
Step-by-step explanation:
Pre-SolvingWe are given several functions, and we want to figure out which one is linear.
A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.
SolvingLet's go through the list.
Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.
Even though y has a power of 1, this is NOT linear, because x has a power of -1.
Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.
For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.
This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.
This means that \(y=\frac{x}{4}\) is linear.
Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.
Answers
25 x £5 = £125
16 x £5.50 = £88
£125 + £88=£213
Answer: £213 (I think)
(I may well be wrong and I’m so sorry if I am)
dawn is playing a word game the scores for her firat nine words are 14,23,9,15,17,22,24,17,21
Answers
Answer:
The minimum is 9, the maximum is 24, and the range is 15.
Explanation:
The scores are:
\(14,23,9,15,17,22,24,17,21\)The maximum number is 24. And the minimum number is 9.
The range of a set of numbers is the difference between the maximum and minimum number:
\(24-9=15\)Thus, the answer is:
The minimum is 9, the maximum is 24, and the range is 15.
Use inverse operations to write one more
correct number sentence for each of these:
a) 7 * 5 = 35
b)40-23
Answers
Answer:
Solve the following:
a.
b.
c.
the answer is b
5. If a triangular figure is in the shape of an
isosceles right triangle, what is the measure
of each base angle?
Answers
Answer: each base angle in an isosceles right triangle measures 45 degrees.
Step-by-step explanation:
In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).
Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.
To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:
x + x + 90 = 180
Simplifying the equation:
2x + 90 = 180
Subtracting 90 from both sides:
2x = 90
Dividing both sides by 2:
x = 45
A jacket is on sale for $52 after a 35% discount. What is the original price?
Answers
Answer:
The final price is $33.80.You saved $18.20.
Step-by-step explanation:
Answer:
The original price was $80.
Step-by-step explanation:
The original price is x.
x is the full original price, so it is 100% of the original price.
The sale is 35%, so we subtract 35% from 100%.
100% - 35% = 65%
Since the discount was 35%, then the sale price is only 65% of the original price.
65% of the original price is $52
65% * x = 52
0.65x = 52
x = 52/0.65
x = 80
Answer: The original price was $80.
Which expression represents the phrase: “3 fewer than a number, p”?
Answers
Answer:
p - 3
Step-by-step explanation:
"fewer than" means subtract from, in this case 3, from an unknown number represented by p
The expression represents the phrase: “3 fewer than a number, p" is
(p-3).
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
Statement - “3 fewer than a number, p”
We know that the symbol for fewer would subtraction.
Then, the mathematical expression for 3 fewer than a number, p is
= (p - 3)
Thus, the required expression is (p-3).
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simplify 6 with exponent –1
Answers
To simplify this equation we need to solve for "s" (feel free to use any other variable)
s-1 -> 1/8 ; 1/s-1 -> s
Once we have gotten this we can now solve 6^-1
6 -1 = 1/6
Answer:
1/6
Step-by-step explanation:
When the exponent is -1 you have to do 1/x x being the number being raised by -1. In this case thats 6
so 1/6
Hope that helps and don't be afraid to reach out if you need any more help!
After writing a $500 check to pay a bill, a student had a balance of $450 in his account. How much did he have in the account before he wrote the check?
Answers
Answer: $950
Step-by-step explanation:
he had 450 in his account after writing a check for 500. all you have to do is add 450 + 500.
15 pies a m regla de 3
Answers
Answer:
5m
Step-by-step explanation:
regla de 3:
1m = 3ft
15 pies ÷ 3 = 5m
Which of the following number sentences is an example of the associative property of multiplication?
1. (12 × 3) × 8 = 12 (3 × 8)
2. 6 × 1 = 6
3. 4 × 5 = 5 × 4
4. 20 × (10 + 6) = (20 × 10) + (20 × 6)
Answers
Answer:
It is 1 or 4 i think
Step-by-step explanation:
Answer:
1. (12 × 3) × 8 = 12 (3 × 8)
Step-by-step explanation:
i did lesson!! giving free answers to people!! you're welcome!!
if you have a fraction with an exponent do you distribute the exponent to the denominator and the numerator
Answers
Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).
For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply
16/81.
1. Start with the expression
(2/3)^4
2. Distribute the exponent of 4 to the numerator and denominator, resulting in
(2^4)/(3^4)
3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)
= (2*2*2*2)/(3*3*3*3)
4. Simplify the expression to 16/81
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a ball is thrown up vertically. after t seconds, it's height (in feet) is given by the function h (t)=96t-16t^2 . after how long will it reach its maximum height
Answers
The time taken to reaches its maximum height is 3s.
In the question,
It is given that,
Height, h(t) = \(96t - 16t^{2}\)
The maximum value of the function is obtained if the first derivative of the function h (t) = 0.
\(\frac{dh(t)}{dt} = 96 - 32t = 0\)
⇒ \(t = 3\)
So, time taken to reach its max height is 3 seconds.
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Solve the following inequality:
Answers
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answers
Here's how to do it:
Substitute y with zero:
0 = (1/3)x - 1
Add 1 to both sides:
1 = (1/3)x
Multiply both sides by 3:
3 = x
So the x-intercept of the line y = (1/3)x - 1 is (3,0). This means that the line crosses the x-axis at the point (3,0).
In conclusion, the x-intercept of the line y = (1/3)x - 1 is (3,0), which means that the line crosses the x-axis at the point (3,0).
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
8) Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated
before 1940, 35% are dated from 1940 to 1980, and the rest are dated
after 1980. How many coins in Jennifer's collection are dated after 1980?
Please no links!!!
Answers
==============================================
Explanation:
40% + 35% = 75% of the coins were either made before 1940, or made from 1940 to 1980. In other words, 75% of the coins were minted before 1980. This leaves 100% - 75% = 25% of the coins to being minted after 1980.
25% of 1600 = 0.25*1600 = 400 coins were made after 1980
There are 15 girls and 14 boys in an English class. The teacher is drawing names from a hat at random to set up teams of four students. What is the probability of drawing a girl's name, then a boy's name, then a girl's name, then a boy's name.
Answers
Answer:
35/522 ≈ 0.067
Step-by-step explanation:
There are initially 29 names in the hat, 15 of which are girls' names. So the probability is 15/29.
There are now 28 names in the hat, 14 of which are boys' names. So the probability is 14/28.
There are now 27 names in the hat, and 14 girls' names. So the probability is 14/27.
Finally, there are 26 names in the hat, and 13 boys' names. So the probability is 13/26.
The total probability is:
P = (15/29) (14/28) (14/27) (13/26)
P = 35/522
P ≈ 0.067
Answer:
Step-by-step explanation:
There are initially 29 names in the hat, 15 of which are girls' names. So the probability is 15/29.
There are now 28 names in the hat, 14 of which are boys' names. So the probability is 14/28.
There are now 27 names in the hat, and 14 girls' names. So the probability is 14/27.
Finally, there are 26 names in the hat, and 13 boys' names. So the probability is 13/26.
The total probability is:
P = (15/29) (14/28) (14/27) (13/26)
P = 35/522
P ≈ 0.067
How far would a runner that ran 200 meters in minute run in 3 minutes at the same rate?
Answers
Answer:
I think 200x3
Step-by-step explanation:
200x3 = 600
Answer: 600 meters
Step-by-step explanation: 3/1 x 200/1 = 600 meters
how is 64 written as a product of its prime factors
Answers
Answer:
Here is the answer:
Step-by-step explanation:
Prime factorization of 64 would be 2 x 2 x 2 x 2 x 2 x 2.
Can also be written as 64 = 2^6
Answer:
\(64 \: \: \: \: \: 2 \\ 32\: \: \: \: \: \: 2 \\ 16 \: \: \: \: \: 2\\ 8 \: \: \: \: \: \: 2 \\ 4 \: \: \: \: \: \: 2 \\ 2 \: \: \: \: \: \: 2 \\ 1 \: \: \: \: \: \: \: \: \\ \\ 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ 64 = (2 {)}^{6} \)
2)
write place value of 3 in 32,840
Answers
Answer:
The 3 is in the ten thousands place.
3 is 30 thousand
2 is 2 thousand
8 is 8 hundred
4 is 4 tens
0 is 0 ones
Answer:
The 3 is in the hundred-thousands
Step-by-step explanation:
PLEASE HELP ASAP
Apostolis is making a beaded dress to enter in
a design competition. He must buy the beads to
fulfill the pattern, but he can spend no more than
$125 of this part of the project. Packages of blue
beads contain 10 beads per package and cost $0.85
whereas the packages of yellow beads contain
15 beads per package and cost $1.15 per package.
Apostolis needs at least 425 beads. If b represents
the number of blue beads and y represents the
number of yellow beads, which of the following
systems best describes these constraints?
I have been trying to solve and I just can’t figure it out yet, my answer is B or A bug I’m not quite to sure
Answers
Answer:
okok so the anwser is 1+1
Step-by-step explanation:
1 and add another is 2
boom.
:)
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
Answer:
KL = 7, so B is the correct answer.
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
Answers
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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5. a) A wire has a total length of 8184cm. It was cut into various pieces to form a series of 10 squares. The а length of each subsequent square doubles of the previous square. If the length of the first square is x cm, i. If the area of the squares follows geometric progression, show that 1/2 - 1 T T. T, T Hence determine the common ratio. [2 marks] ii. Find the value of x. [3 marks] 111. Find the area of the largest square. [2 marks]
Answers
Step-by-step explanation:
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