It took Deborah 2 hours to catch Mortimer.
Time calculationTo determine, if Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him, the following calculation must be made:
75X = 50 + 50X75X - 50X = 5025X = 50X = 50 / 25X = 2Therefore, it took Deborah 2 hours to catch Mortimer.
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Twice a number is 500 more than six times the number. What is the number?
» Twice a number is 500 more than six times the number. What is the number?
Answer: [tex] \color{hotpink}{ \bold{- 125}}[/tex]— — — — — — — — — —
Solution:Let the number be x.
Then,
[tex]2x = 6x + 500 \\ 2x - 6x = 500 \\ \: \: \: \: \: \: \: - 4x = 500 \\ \: \: \: \: \: \: \: \: \frac{ \cancel{- 4}x}{ \cancel{- 4}x} = \frac{500}{ - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \underline{ \boxed{ \blue{ - 125}}}[/tex]
Hence, the number is -125.
Using algebraic expression, the number is calculated as: -125.
What is an Algebraic Expression?An algebraic expression involves using numbers and variables to make statements.
Let the unknown number be represented as x. Therefore:
Twice the number is 2x
2x is 500 more than 6x is 2x = 6x + 500
Solve the algebraic equation to find the number (x):
2x = 6x + 500
2x - 6x = 500
-4x = 500
x = -500/4
x = -125
Thus, using algebraic expression, the number is calculated as: -125.
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Trina is looking at a scale drawing with a scale of 4 inches = 200 miles. how can she simplify the scale to evaluate 1 inch on the drawing?
help me with geometry please
Answer:
yes
...................
Answer:
yes.............
Please solve these 2 ;-;
y = 2x – 6
y = –4x + 3
Answer:
x = 3/2 | y = -3
Step-by-step explanation:
Given equations:
y = 2x - 6. . . .(i)y = -4x + 3. . . . (ii)Substituting from equation (i) for y:
==> 2x - 6 = -4x + 3
==> 2x + 4x = 6 + 3
==> 6x = 9
dividing both sides by 3:
==> 2x = 3
==> x = 3/2
Substituting 3/2 for x in equation (i):
==> y = 2(3/2) - 6
==> y = 3 - 6
==> y = -3
[tex] - 4x + 3 = 2x - 6 \\ 6x = - 9 \\ 2x = - 3 \\ x = - 1.5[/tex]
Solve the system of equations using subtraction.
2x - 3y = -5
2x + y = 7
The solution is . (Type an ordered pair.)
Answer:
x = 2 and y = 3
Step-by-step explanation:
given:
2x - 3y = -52x + y = 7using elimination rule:
2x - 3y = -5
- 2x - y = - 7
................................
-4y = -12
y = 3
Find x:
2x - 3y = -5
2x - 3(3) = -5
2x - 9 = -5
2x = - 5+9
2x = 4
x = 2
Answer:
[tex]y=3\\x=2\\[/tex]
Step-by-step explanation:
[tex](2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3[/tex]
Insert y=3 into any one equation in the system of equations:
[tex]2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2[/tex]
or
[tex]2x+(3)=7\\2x=4\\x=4/2\\x=2[/tex]
A parabola can be drawn given a focus of (5, -3)and a directrix of x=1. What can be said about the parabola?
Answer:
The parabola is a horizontal parabola and it faces to the right. The vertex is at (3, -3) (*Double check this because I don't have graph paper*) because the vertex is always the same distance from the directrix and the focus.
Best answer will get Five stars and a crown
Answer:
[tex]x ∈ R,a=1[/tex]
Step-by-step explanation:
i believe this is the answer but i am not 100% sure
Answer: It does not
Step-by-step explanation:
Three Step Linear Equations
Solve for x
8x+5=-6x+3
Answer:
x = -1/7 or -0.14285 - in decimal form
Step-by-step explanation:
8x + 5 = -6x + 3
8x + 6x = 3 - 5 { change side }
14x = -2 { basic addition and subtraction }
x = -2/14 { changing sides }
x = -1/7 { simplified }
Will give brainliest! ASAP
What is the value of the prism?
Pls help I need ASAP
Explanation:
There are 6 blocks across the width, 3 blocks along the height, and 2 blocks along the depth.
The volume is 6*3*2 = 18*2 = 36 cubic inches. In other words, there are 36 small blocks that make up this bigger 3D solid.
Solve the simultaneous equations
4x + 2y = -1
5x – 3y = 7
Answer:
4x-2y=-1 multiply by 3
5x-3y=7 multiply by 3
12x+6y=-3
10x-6y=14 add them
so =22x=11
x=1/2
5(1/2)-3y=7
2.5-3y=7 take 2.5 to the other side
-3y=4.5
y=-3/2
therefore x=1/2 and y=-3/2
Step-by-step explanation:
The volume of a cube is 8 cubic inches. What is the length of each side of the cube?
Answer:
if a cube has a volume of 8 it has a side length of 2 so the answer is 2
By selling a television set for $421 Suzie incurred a loss of 6% . what is the cost price ?
Answer:
The cost price is $395.74 or $446.26
Step-by-step explanation:
When we do 421 times 0.06 (same thing as 6%) we get 25.26
We subtract 25.26 from 421 we get $395.74
If we add 25.26 to 421 we get $446.26
During the month of February, Lerato sends one SMS per day to relatives. Calculate how much this activity costs her in rands
Considering a linear function, it is found that this activity costs 240 rands.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we suppose that:
There is a fixed cost of 100 rands, hence b = 100.Each SMS costs 5 rands, hence m = 5.Hence, the cost of sending x messages is given by:
y = 5x + 100.
February has 28 days, hence:
y = 5(28) + 100 = 240
This activity costs 240 rands.
More can be learned about linear functions at https://brainly.com/question/24808124
1/2+1/3 how much is this and can u help with the simplify
Answer:
5/6
Step-by-step explanation:
Find a common denominator for 1/2 and 1/3.
6
Then find the amount it equals to when 6 is the denominator
1/2 = 3/6
1/3 = 2/6
Now add them
2/6 + 3/6 = 5/6
Answer:
Combine the fractions by finding a common denominator.
Exact Form:
5/6
Decimal Form:
0.8¯3 (bar notation)
Step-by-step explanation:
Hope this helps =)
12
math
pls help geniuses!!
——————————-
Answer:
The answer is C .
Step-by-step explanation:
Help with this question.
What is sin 30*?
What is the measure of X?
108°
108°
2x
2x
72°
144
36
360°
Answer:
36°
Step-by-step explanation:
108°+ 108°+ 2x+ 2x =360°
4x +216° = 360°
4x= 360°- 216°
Just X= 144°/4
=36°
2x= 2(36)
= 72°
5. Which of the following is the simplified form of 57.57.57.57x ? (2 points)
Answer:
I think its X[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
The answer is x^4/5 (the second one)
Step-by-step explanation:
which is greater 4/16 or 16/64
Answer:
the answer is 16/64...............
help ill give 5 stars if correct
Answer:
7 1/4
Step-by-step explanation:
12 3/4- 5 1/2
please someone help me this is math and you will get points
Step-by-step explanation:
i) C = πd
C = π × 20yd
C = 20π yards
ii) A = πr²
A = 3.14 × 3²
A =28.26 m²
note that the radius here is 6/2 = 3m.
This is the graph of the function f(x) = k(3). The value k is a constant. Based on the graph, what is the value of k
By using the graph, we will see that k = 1.85
How to find the value of K?
Here we have the exponential function:
f(x) = k*(3)^x
And we want to find the value of k.
To find it, we need to use one point on the graph. the only one easy to read is the one for x = 3, we can see that when x = 3, f(x) = 50.
Then we have:
f(3) = 50 = k*(3)^3 = k*(3*3*3) = 27*k
Solving that for k we get:
50 = 27*k
50/27 = k = 1.85
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
Write three rational numbers between −1 /5 and 1 /2
Answer:
-1/10, 2/10, and 4/10
Step-by-step explanation:
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.
First, what is the lcm of 5 and 2? the lcm is 10, because that is the lowest number than can be divided separately by 5 and 2 and the results would still be a whole number.
We now need to find 3 rational numbers between -2/10 and 5/10. It's easy now that I've explained it, right?
-1/10, 2/10, and 4/10 are between -1/5 and 1/2 and are integers with the given explanation.
Hope this helps.
2. There are 15 empty seats and 25 occupied seats on a school bus. What is the ratio of the number of empty
seats to the number of occupied seats?
Answer:
15/40 seats
Step-by-step explanation:
tamang sagot po yan
#carry on learning
Jackie needs at least 350 for a plane ticket. She saves 25 each week. Which number line shows how long she will need to save money
Answer:
C. x ≥ 14Step-by-step explanation:
Set inequality and solve:
25x ≥ 350x ≥ 350/25x ≥ 14Correct choice is C
[tex]25x ≥ 350[/tex]
[tex]x ≥ \frac{350}{25}[/tex]
[tex]x ≥ 14[/tex]
Answer is C option
Someone please help me! Which one is independent and dependent
Answer:
The top is independent
The bottom is dependent
Step-by-step explanation:
The top is independent because it does not rely on another variable. It is the "affector" and not dependent on it.
The bottom is dependent because it does rely on another variable. It is dependent on this other variable because it will be affected by any changes in that other variable.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
what is the value of x in the triangle
[tex] \huge \boxed{ \tt x = 83 {}^{\circ} }[/tex]
x + 47 + 50 = 180 (sum of angles of triangle = 180°)
x + 97 = 180°
x = 180° -97
x = 83 °
WILL GIVE BRAINLIEST
What is the value of the coefficient of the 5th term in the expansion of (a + b) ^6
a. 20
b. 6
c. 10
d. 15
Answer:
D. 15
Step-by-step explanation:
I assume you know what pascal's triangle is if this is the work you must complete. If not, I have attached it below.
Now, raising (a+b) to the 6th term would expand to this, based on Pascal's triangle
[tex]\left(a+b\right)^6 = \quad a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6[/tex]
Remember that terms are separated by addition or subtraction symbols.
The 5th term of this 7 term expansion would be 15a^2b^4. The coeffecient is 15 in this case.
~~~~~~~~~~~~~~~~~~~~~~~~
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Crystal is training for a marathon. She wants to run 24 miles each week. She has run 16.5 miles this week. Solve an equation to determine how many more miles M she needs to run this week. What does M =?
Answer:
M=7.5
Step-by-step explanation:
hope this helps!
polynomials are named by the highest exponent of the variable as well as the number of terms. For example, x^5-3x^2-1 is a quintic trinomial. Quintic is the exponent of 5, which is the highest while trinomial implies three terms. Using the above example, name the following polynomial expressions: 4x^2+x-3
3/5v^3(3v^2-9)
36m^6 - 9n^2
Answer:
Step-by-step explanation:
[tex]4x^{2} + x - 3 \ Quadratic \ polynomial \ [ highest \ exponent \ is \ 2 ][/tex]
[tex]\dfrac{3}{5}v^{3}(3v^{2} -9)=\dfrac{3}{5}v^{3}*3v^{2}-\dfrac{3}{5}v^{3}*9=\dfrac{9}{5}v^{5}-\dfrac{27}{5}v^{3}[/tex]
Highest exponent is 5 and number of terms is 2. So, quintic binomial
[tex]36m^{6}-9n^{2}[/tex]
Highest exponent is 6 and two terms. So, hexic binomial