Answer:
The result of the correct substitution gives:
x = 3/7 and y = 27/7
Step-by-step explanation:
From the given information:
y = 2x + 3 ---- (1)
3x + 2y = 9 ---- (2)
By using substitutional method
Substitute the value of y = 2x +3 into equation (2)
So,
3x + 2(2x + 3) = 9
3x + 4x + 6 = 9
7x = 9 - 6
7x = 3
x = 3/7
From equation (1), let replace the value of x to be 3/7
So,
y = 2x + 3
y = 2(3/7) + 3
y = 6/7 + 3
y = 27/7
You’re playing tug-of-war in gym class at the start you take two steps back the other team pulls you and takes three steps forward which equation can be used to find how far you are from your original position?
A: -3+2
B: -2+(-3)
C: -2+3
D: 2+3
Order the numbers from least to greatest. 0.12, 10%, 340, 0.08
Answer:
∞
Step-by-step explanation:
Answer:
0.08, %10, 0.12 and 340
Step-by-step explanation:
Laura bought apples to send to her friend Brad by mail. Because of mailing restrictions, the total mass of the apples cannot exceed 23 pounds. If the mass of each apple is 5 ounces, what is the maximum number of apples Laura can send?
A.72
B.73
C.74
D.75
Answer:
D. 75 bc it should be that
Answer:
B 73
so I had four answer choices A 72 B 73 C 74 D 75 Someone had put that the answer was D . But, I had this same problem on my test I picked D and got it wrong. so clearly its not D. theses are medium apple's 1lb is 16oz I apple is 5oz 23lbs = 368oz 3 apples =15oz
take 368 and divided it by 5 you get 73.6
PLEASE HELP!!
finding square roots of negative numbers
show your work
1-) V-18
2-) 2V-16
Answer:
Work shown below!
Step-by-step explanation:
[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]
[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]
Kevin painted 24 sculptures in 5 days. Which of the following is not a unit rate for the situation?
Answer:
????????
well the unitrate is 4.20 sculpture in a day
So maybe just find the ones that is not equal to this :)
You purchase a video game for $150. You make a down payment of $25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment?
Answer: So basically for this you just need to multiply. The answer is 25
each month since 5x30=150 and you already made a down payment of 25. So 5x30=150-25=125.
Help please
The answer choices are
A) x=3/x
B)x=9/x
C)0=3/x+x
D)0=9/x+x
Answer:
A
Step-by-step explanation:
who wants to play rocket league with me
I'm gold3 so sry
Answer:
Bet
Step-by-step explanation:
Answer:
Your on
Step-by-step explanation:
Does someone have a fennec in rocket league and someone who can trade it on switch?
Write the standard form of the equation y - 6 = 3/4 (x - 5).
Answer:
3x-4y=-9
Step-by-step explanation:
Answer:
[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]
Step-by-step explanation:
[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx + b
[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]
Add 6 to both sides;
[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]
This is urgent PLEASE help me
Answer:
at -6
Step-by-step explanation:
hope that help
please find the circumceneter of the triangle
Answer:
Draw the perpendicular bisector of each line of each line.
Step-by-step explanation:
Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse. Locate those coordinates and you have the circumcenter.
DEF JIH
Someone help me please
Answer:
ED is congruent to IH
ED is congruent to IH
A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representing Incorrect answers
and 1's representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round to the nearest whole number.
Answer:
It is 4
Step-by-step explanation:
WILL GIVE BRAINLIEST but you have to show your work
Answer:
x=-3
Step-by-step explanation:
[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]
x=-6 is extraneous because 7 does not equal to 5
x=-3 is the answer because 5=5
An item cost $420 before tax, and the sales tax is $33.60. Find the sales tax
Answer:
8%
Step-by-step explanation:
used a calculator
Refer to the figure.
If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.
Answer:
x=11
Step-by-step explanation:
And you didnt give the equation for FDE but substitute 11 in for X
Guys can you please help me ?!!!!!!):
Answer:
12+20=32
32/2=16
20-16=4
Vertex x-int is 4.
Step-by-step explanation:
Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. She scored a total of 24 baskets for both games. How many baskets did Mia score last Saturday?
Based on the information presented, it can be inferred that Mia made 8 baskets last Saturday.
How to calculate how many baskets Mia made last Saturday?To calculate the number of baskets Mia made last Saturday we must take into account the following information:
Yesterday she made 24 baskets.Last Saturday she made 3 times fewer baskets than yesterday.To calculate the number of baskets Mia made, we must divide 24 by 3 to find the number of baskets she made last Saturday.
24 ÷ 3 = 8So, it can be inferred that Mia made 8 baskets last Saturday.
Learn more about division in: https://brainly.com/question/369266
Alfonso runs 10 km at an average speed of x km/h.
The next day he runs 12 km at an average speed of (x - 1) km/h.
The time taken for the 10km run is 30 minutes less than the time taken for the 12 km run.
(a) (i)
Write down an equation in x and show that it simplifies to x? – 5x – 20 = 0.
Step-by-step explanation:
Note that t = d/r where t is time, d is distance, and r is rate/speed.
We can come up with two equations with the information given and the equation:
t_1 hr = (10 km)/(x km/hr)
t_2 hr = (12 km)/(x - 1 km/hr)
where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.
We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:
t_1 = t_2 - 1/2
Substituting the values we derived:
(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2
Then we can evaluate by multiplying by 2x(x-1) on both sides:
20(x-1) = 24x - (x)(x-1)
20x - 20 = 24x - x^2 + x
x^2 -5x -20 = 0
And we are done.
I hope this helps! :)
An equation is formed when two equal expressions. The equation for the time can be written as (12/x-1)-(10/x)=0.5. The value of x is 7.623.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) Given Alfonso runs 10 km at an average speed of x km/h. Therefore, the time taken by Alfonso to rum 10km is 10/x hour.
Also, The next day he runs 12 km at an average speed of (x - 1) km/h. Therefore, the time taken by Alsonso to run 12km is 12/(x-1) hour.
Now, the time taken for the 10km run in 30minutes(0.5 hours) is less than the time taken for the 12 km run. Therefore, we can write,
[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5[/tex]
The equation for the time can be written as (12/x-1)-(10/x)=0.5.
B.) The value of x can be written as,
[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5\\\\12x-10(x-1)=0.5 \times x \times (x-1)\\\\12x - 10x +10 = 0.5x^2-0.5x\\\\2x+10 = 0.5x^2-0.5x\\\\0=0.5x^2 - 2.5x -10\\\\x = -2.623, 7.623[/tex]
Since the time can not be negative. Hence, the value of x is 7.623.
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PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP
A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?
A)
2 pounds
B)
30 pounds
c)
50 pounds
D)
60 pounds
Answer:
it is c
Step-by-step explanation:
If the terminal point determined by t is (-5,-4), then
\sin (t) =
;
\cos (t) =
;
\tan (t) =
.
Answer:
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
Step-by-step explanation:
Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:
[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan t = \frac{y}{x}[/tex] (3)
If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:
[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\sin t \approx -0.625[/tex]
[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\cos t \approx -0.781[/tex]
[tex]\tan t = \frac{-4}{-5}[/tex]
[tex]\tan t = 0.8[/tex]
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
Solve the inequality for X.
4x<32
Answer:
x is less than 8
3(x – 2) – (1 – x) > 2x – 7
The equation x^2/24^2 - y^2/b^2 = 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.
What is the value of b?
A. 10
B. 16
C. 20
D. 26
Answer:
a
Step-by-step explanation:
edge
The value of B is 16.
The correct option is B
What is a quadratic equation?A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
The standard equation for a hyperbola centered at the origin is:
(x²)/(a²) - (y²)/(b²) = 1
where "a" and "b" are the lengths of the transverse and conjugate axes, respectively. To find the value of "b" for the given hyperbola equation, we need to first rewrite it in the standard form.
(x²)/(24²) - (y²)/(b²) = 1
Multiplying both sides by (24²)(b²), we get:
b²(x²) - (24²)(y²) = (24²)(b²)
Dividing both sides by (24²), we get:
b²(x²)/(24²) - y² = b²
Comparing this with the standard equation, we can see that a = 24 and b is the square root of the constant term, which is b² = 576. Therefore, b = 24.
However, the given directrix of x = 576/26 is not consistent with the equation of the hyperbola. The directrix for a hyperbola with center at the origin and transverse axis along the x-axis is given by x = a²/b. Using the value of a = 24, we can find the directrix as:
x = (24²)/b
Setting this equal to 576/26, we get:
(24²)/b = 576/26
Solving for b, we get:
b = 16
Therefore, the correct answer is (B) 16.
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help me pleaseeeeeeeeeeee
Step-by-step explanation:
57+90+x=180
147+x=180
x=33
<4= 33°
Mark was remodeling his house. He took 26 2/3 square feet from 3 different rooms. What was the average change in square footage per room?
-9/80
-80
-26 2/9
-8 8/9
Please help!
Answer: 8 8/9
Step-by-step explanation:
From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.
The average change in square footage per room will be calculated as:
= 26 2/3 ÷ 3
= 80/3 × 1/3
= 80/9
= 8 8/9
Therefore, the answer is D.
3 fair coins are tossed.
a) What is the probability of getting all 3 heads? (My Answer is 1/8)
b) What is the probability of getting all 3 tails? (My Answer is 1/8)
c) What is the probability of getting all 1 head and 2 tails? (My Answer is 3/8)
d) What is the probability of getting all 2 heads and 1 tail? (My Answer is 3/8)
My Question:
e) What do the probabilities from parts (a) to (e) add up to?
Answer:
1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1
So the answer would be 1.
MATH 123 at the downtown Indianapolis campus has approximately 580 students enrolled. In Lawrence, MATH 123 has a total of 340 students enrolled. Find the relative change of BOTH scenarios and complete the each sentence below. The downtown Indianapolis campus has % more students enrolled than at the Lawrence campus. % less The MATH 123 enrollment numbers for Lawrence are than those enrolled at the downtown Indianapolis campus.
Answer:
The downtown Indianapolis campus has 71% more students enrolled
The math 123 enrollment for Lawrence are 41% less than those enrolled downtown.
Step-by-step explanation:
Does anyone know the answers to this?
Answer:
i think the correct answer of these qusion is `B´
Answer:it’s 5
Step-by-step explanation:
Kylan had 1 ⅜ kilograms of fertilizer. He used some to fertilize a flower bed, and he only had ⅔ kilograms left. How much fertilizer was used in the flower bed?
Answer: 17/24
Step-by-step explanation:
let x be the fertilizer used in the flower bed
to find how much he has left
1 3/8 - x = 2/3
the fraction 1 3/8 we can write as 11/8
11/8 - x = 2/3
11/8 -2/3= x
we need the common denominator between 8 and 3, which is 24
33/24-16/24=17/24