Point Q is the midpoint of segment PR. If PQ= (15x-2) and QR= (5x+3) find the value of Q.
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so, the distance to Q, or one can say Q's length is the same as PQ's. or QR's for that matter.
Related Questions
Car X leaves Northtown traveling at a steady rate of 55 mph. Car Y leaves 1 hour later following Car X, traveling at a steady rate of 60 mph. Which equation can be used to determine how long after Car X leaves Car Y will catch up?
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The equation that can be used to determine how long after Car X leaves Car Y will catch up is D. 55x = 60(x - 1).
To determine when Car Y will catch up to Car X, we need to find the time it takes for Car Y to cover the same distance as Car X. Since Car Y leaves 1 hour later, it will travel for (x - 1) hours, where x represents the time Car X has been traveling. So, the equation would be:
D. 55x = 60(x - 1)
This equation accounts for the distance traveled by both cars over the same time frame, considering Car Y started an hour later.
Complete question : Car X leaves Northtown traveling at a steady rate of 55 mph. Car Y leaves 1 hour later following Car X, traveling at a steady rate of 60 mph. Which equation can be used to determine how long after Car X leaves Car Y will catch up? A. 55x=60x-1 B.55x=60x C.60x=55x(x-1) D.55x=60(x-1).
Step by step how to factor:
2y^2+9y+9=0
Answers
for ax²+bx+c=0 when a≠1
multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b
2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that
2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero
y+3=0
y=-3
2y+3=0
2y=-3
y=-3/2
y=-3 and -3/2
it's factored form is (x+3)(2x+3)
A number n is less than 6 units from 0. Write an absolute value inequality
Answers
The absolute value inequality which relates to the expression n is less than 6 units from 0 is |n|< 6
The absolute value which stand for 6 units From 0 can be expressed as :
|0 - 6| = 6 (absolute value of any number or expression is always positive)This means that, the number n is less than 6
Therefore, the expression can be written as :
|n| < 6. This means that the absolute value of n is less than 6.
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To write an absolute value inequality when a number n is less than 6 units from 0, use the notation |n| < 6.
Explanation:To write an absolute value inequality, we need to express the distance between the number n and 0 as less than 6 units. This can be done by using the absolute value notation: |n| < 6. In this inequality, the absolute value of n must be less than 6 units.
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Need help with this problem
Scott has fees taken out of his bank account each month for 3 months. A total of $12 is taken from his bank account.
Drag the numbers to form the equation that represents the change in Scott's bank account each month.
( ? )( ? ) = ( ? )
3, -3, 12, -12, 1/3, -1/3, 4, -4
Show work
Answers
The numbers will be negative because there is an subtraction happening.
work shown: -4+-4+-4=-12
Please vote my answer brainliest. thanks!
Find the area of a triangle that has a base of 10 inches and a height of 7 inches.
A) 8.5 in2
B) 17 in2
C) 35 in2
D) 70 in2
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b=10, h=7
A=(7*10)/2
a=70/2
a=35
the answer is C.35in2
Answer:
C ) 35 in2
Step-by-step explanation:
i did the test
The cost of renting a car is $35/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y = 35 + 0.25x, where x is the number of miles traveled. If your cost was $51.25, how many miles were you charged for traveling?
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To find the number of miles traveled when the total cost is $51.25, subtract the base cost from the total and divide by the per-mile rate, resulting in 65 miles traveled.
Explanation:The question asks how many miles were traveled if the total cost for renting a car was $51.25. According to the equation y = 35 + 0.25x, where y represents the total cost and x represents the miles traveled, we first need to subtract the base cost of $35 from the total cost to find out how much is charged for the mileage.
Here is how you calculate it:
Subtract the weekly rental cost from the total cost: $51.25 - $35 = $16.25. Divide the remaining cost by the cost per mile: $16.25 / $0.25 = 65 miles.
Therefore, you were charged for traveling 65 miles.
Vanessa made 6 sandwiches for a party and cut them all into fourths. How many 1/4 sandwich pieces did she have?
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6 / (1/4) = 24
Find the sum of 914 and 878
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914 + 878
1792
Hope this helps!
Solve. 54 ÷ (4 – 1)3
Answers
A publisher estimates their costs of publishing a book is from $980,000 to $1,240,000. So far, they have spent $824,000. Which compound inequality correctly expresses how much more the publisher can spend?
$155,850 ≥ x ≤ $415,850
$155,850 ≤ x ≥ $415,850
$155,850 ≥ x ≥ $415,850
$155,850 ≤ x ≤ $415,850
Answers
980,000 - 824,000 = 156,000
The greatest amount the publisher can spend is:
1,240,000 - 824,000 = 416,000
The range of amount the publisher is left to spend is given by:
156,000 ≤ x ≤ 416,000
Answer: Fourth option (D)
Answer:
[tex]155,850 \leq x \leq 415,850[/tex]
Step-by-step explanation:
A publisher estimates their costs of publishing a book is from $980,000 to $1,240,000.
Let x be the amount publisher can spend
So, [tex]980000\leq x \leq 1240000[/tex]
Now we are given that So far, they have spent $824,000
So, [tex](980000-824000)\leq x \leq (1240000-824000)[/tex]
[tex]156000\leq x \leq 416000[/tex]
So, Option D is true
Hence compound inequality correctly expresses how much more the publisher can spend is [tex]155,850 \leq x \leq 415,850[/tex]
Which letters from the table represent like terms? -2x 3 4x 1
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-2x and 4x represent like terms because they both have the same variable.
Order these fractions from greatest to least. 4/9 , 4/10 , 4/5
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4/10 = 0.4...same as 0.40
4/5 = 0.8
least to greatest : 4/10, 4/9, 4/5
So then 40/90, 36/90, 72/90
So here is the answer: 4/5, 4/9, 4/10
Hope this was a good answer :)
And sorry it took me so long.
DIVIDING ALGEBRAIC FRACTIONS
2p/4p^2 divided by 6p^3/6p+3
Answers
= 2p(6p + 3) / 6p^3(4p^2 - 1)
Next, we can factor out a 3 in the numerator
= 6p(2p + 1) / 6p^3(4p^2 - 1)
Next, we can factor the denominator
= 6p(2p + 1) / 6p^3(2p - 1)(2p + 1)
Since we have (2p + 1) in the top and bottom, we can cancel it
= 6p / 6p^3(2p - 1)
We can also cancel a 6p in the top and bottom
Answer: 1 / p^2(2p - 1)
hope I helped
Gio is solving the quadratic equation by completing the square 5x^2+15x-4=0 What's should gio do first?
Answers
Gio should first complete the square by adding and subtracting [tex]\((\frac{3}{2})^2\)[/tex], leading to the equation [tex]\((x + \frac{3}{2})^2 = \frac{25}{4}\).[/tex]
To solve the quadratic equation [tex]\(5x^2 + 15x - 4 = 0\)[/tex] by completing the square, Gio should follow these steps:
1. Make the Coefficient of [tex]\(x^2\) 1:[/tex]
Divide the entire equation by the coefficient of [tex]\(x^2\)[/tex] to make it equal to 1. In this case, divide the equation by 5:
[tex]\[x^2 + 3x - \frac{4}{5} = 0.\][/tex]
2. Move the Constant to the Other Side:
Move the constant term to the other side of the equation:
[tex]\[x^2 + 3x = \frac{4}{5}.\][/tex]
3. Complete the Square:
Add and subtract [tex]\((\frac{3}{2})^2\)[/tex] inside the parentheses to complete the square:
[tex]\[x^2 + 3x + (\frac{3}{2})^2 = \frac{4}{5} + (\frac{3}{2})^2.\][/tex]
4. Factor the Perfect Square Trinomial:
Factor the left side, which now is a perfect square trinomial:
[tex]\[(x + \frac{3}{2})^2 = \frac{25}{4}.\][/tex]
5. Solve for (x):
Take the square root of both sides and solve for (x):
[tex]\[x + \frac{3}{2} = \pm \frac{5}{2}.\][/tex]
6. Isolate (x):
Isolate (x) on one side to find the solutions:
[tex]\[x = -\frac{3}{2} \pm \frac{5}{2}.\][/tex]
Therefore, Gio should first complete the square by adding and subtracting [tex]\((\frac{3}{2})^2\)[/tex], leading to the equation [tex]\((x + \frac{3}{2})^2 = \frac{25}{4}\).[/tex]
carl puts $1.10 in his piggy bank everyday in month of July (31 days)his total saving was $55.00 at the end of June what is the best estimate for his savaging at the end of June
Answers
subtract July's amount (34.10) from the total
55.00 - 34.10 = 20.90
he had $20.90 at the end of June. Hope this helps!
Which expression is the factorization of x2 + 10x + 21?
A) (x + 3)(x + 7)
B) x + 4)(x + 6)
C) (x + 6)(x + 15)
D) (x + 7)(x + 14)
Answers
hoped this helped!
Margaret uses 1 3/4 teaspoons of vanilla to make 12 cupcakes. She to wants make 30 cupcakes. how much vanilla will Margaret use?
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1 3/4 + 1 3/4+ half of that 7/8
total teaspoons 4 3/8
To make 30 cupcakes Margaret needs 4.375 cups of vanilla.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Margaret uses 1 3/4 teaspoon of vanilla to make 12 cupcakes
So,
1 3/4 teaspoon vanilla ⇒ 12 cupcakes
(4×1 + 3)/4 teaspoon ⇒ 12 cupcakes
7/4 teaspoon vanilla ⇒ 12 cupcakes
Divide by 12 into both sides,
7/(4×12) teaspoon vanilla ⇒ 1 cupcake
Now multiply by 30 on both sides,
(7 × 30)/(4 × 12)teaspoon vanilla ⇒ 30 cupcake
30 cupcakes ⇒ 4.375 teaspoon vanilla.
Hence "To make 30 cupcakes Margaret needs 4.375 cups of vanilla".
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Factor the difference of two cubes
Answers
A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?
Compound interest formula: (image uploaded V(t) )
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
A. 5.9 years
B. 6.1 years
C. 23.4 years
D. 24.5 years
Answers
Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.
Simplifying the above equation: 2 = (1.03)^(4t)
We must isolate 4t, and then isolate t. To do this, take the common log of both sides of the above equation. We get:
log 2 = (4t) log 1.03. This gives us 4t = [log 2] / [log 1.03], or
4t = 23.4498
Dividing both sides by 4, we get t = 5.86 (years).
Compound interest is the interest generated overtime on a sum of money invested. The time it will take for the amount of money to double is 5.9 years
How to calculate the compound interest?Compound interest is the interest generated overtime on a sum of money invested. The formula for calculating compound interest is expressed as:
V(t) = P(1+r/n)^nt
where:
t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t yearsGiven the following
V(t) = 2P
r = 0.12
n = 4
Substitute
2P = P(1+0.12/4)^4t
2 = (1.03)^4t
ln2 = 4t ln(1.03)
0.6931 = 0.1182t
t = 0.6931/0.1182
t = 5.9 years
Hence the time it will take for the amount of money to double is 5.9 years
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Anyone know the answer to these problems?
Explain with steps
Correct answer will receive Brainliest
Answers
[tex]\displaystyle{ i) \frac{a^b}{a^c}=a^{b-c}[/tex] for b>c
[tex]\displaystyle{ ii)\frac{a^b}{a^c}=\frac{1}{a^{c-b}}[/tex] for c>b
Using these 2 rules, we have:
[tex]\displaystyle{( \frac{(10^4)(5^2)}{(10^3)(5^3)} )^3=( \frac{10^{4-3}}{5^{3-2}} )^3= (\frac{10}{5})^3=2^3=8 [/tex]
If one inch represents 8 feet, what dimensions would you use to make a scale drawing of a building 34 feet by 75 feet?
Please answer and explain!
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One card is randomly selected from a deck of cards. find the odds against drawing a blackblack fivefive.
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Is the value 75+(-75) less than zero, equal to zero, or greater than zero?
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hope this helps
The sum of two consecutive integers is 65. Find the two integers.
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60/2 is 30, so they have to be in their thirties. Then 2+3=5, therefore they must be 32 and 33
what is 3/4 of 535?????????
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(3/4)(535)=401.25
Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number solutions does the equation have?
Discriminant = b2 – 4ac
real number solutions
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The discriminant is b^2 - 4ac. Here, the discriminant is 0^2 - 4(-2)(3) = 24.
Since the discriminant is positive, you have two real, unequal roots.
The positive value of the discriminant implies that there are two real unequal roots and this can be determined by using the formula of the discriminant.
Given :
The quadratic equation is [tex](0=-2x^2+3)[/tex].
The following steps can be used in order to determine the total number of real solutions does the equation have:
Step 1 - Write the given quadratic equation.
[tex]0=-2x^2+0x+3[/tex]
Step 2 - The formula of discriminant is given below:
[tex]D = b^2-4ac[/tex]
where 'b' is the coefficient of 'x', 'a' is the coefficient of [tex]x^2[/tex], and 'c' is the constant.
Step 3 - Now, substitute the values of a, b, and c in the above formula.
[tex]D = (0)^2-4\times (-2)\times 3[/tex]
[tex]D = 24[/tex]
Step 4 - The positive value of the discriminant implies that there are two real unequal roots.
For more information, refer to the link given below:
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Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
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4p - 7 = 13....add 7 to both sides
4p = 13 + 7
4p = 20 ...divide both sides by 4
p = 20/4
p = 5
write an expression 13+ 19+ 17 using mental math
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Explanation:
It is convenient to regroup the numbers, and adjust two of them to "make a ten".
= 13 + 17 + 19 . . . . rearrange (swap the order of 17 and 19)
= (10 + 3) + (-3 + 20) + 19 . . . . "make a ten" by adding or subtracting a small number. Here, those adjustments cancel—which is the point of doing it.
= 10 + 20 + 19
= 30 + 19
= 49
Estimates 3 2/3 \ 3 2/9
Answers
3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3
pep club members are making spirit buttons. They make 490 spirit buttons in 3 1/2 hours. Find the number of button pep club makes per hour
Answers
Answer:
140 button pep club makes per hour.
Step-by-step explanation:
Given : Pep club members are making spirit buttons. They make 490 spirit buttons in [tex]3\frac{1}{2}[/tex] hours.
To find : The number of button pep club makes per hour ?
Solution :
In [tex]3\frac{1}{2}[/tex] hours they make 490 buttons.
i.e. In 3.5 hours they make 490 buttons.
So, In 1 hours they make [tex]\frac{490}{3.5}[/tex] buttons.
In 1 hours they make 140 buttons.
Therefore, 140 button pep club makes per hour.