Answer:
B (-2, 0)
Step-by-step explanation:
put the first equation in for y in the second equation - watch the negative
2x - (x +2) = -4
2x - x -2 = -4
x = -2
plug this x back in to find y
y = -2 + 2 = 0
Answer:
B
Step-by-step explanation:
plug in the answers given into both equations to see if the statements true
y=x+2
0=(-2)+2
0=0
2x-y=-4
y=2x+4
0=2(-2)+4
0=0
Which of the following is a complex number?
-7
2 + StartRoot 3 EndRoot
4 + 9i
Pi
Answer:
4 + 9i
Step-by-step explanation:
a complex number by definition must have a real and imaginary components
imaginary components are denoted by the letter i, where i = √(-1)
the only choice with a real and imaginary components is 4 + 9i
Answer:
4 +9i
Step-by-step explanation:
trust me bro
A customer purchased a top that was 16.88 and we have a 50% off sale. What would be the sale price of that top?
The sale price of the top after the 50% off discount is $8.44.
To calculate the sale price of the top with a 50% discount, follow these steps:
Step 1: Find the discount amount. The discount amount is 50% of the original price. To calculate this, multiply the original price by 0.50 (50% as a decimal):
Discount amount = 16.88 * 0.50 = 8.44
Step 2: Subtract the discount amount from the original price to find the sale price:
Sale price = Original price - Discount amount
Sale price = 16.88 - 8.44 = 8.44
When the customer applies the 50% off discount, they will pay $8.44 for the top, which is half of the original price of $16.88. This means they are getting a 50% discount on the original price.
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Tomàs is thinking of a number. Thirteen fewer than three times his number is 305. Of what number is Tomás thinking?
Answer:
106
Step-by-step explanation:
Given:
Thirteen fewer than three times his thinking number is 305.
Question asked:
What number is Tomás thinking ?
Solution:
Let Toma's thinking number be [tex]x[/tex]
As 13 fewer than 3 times his thinking number is 305.
The equation will be:
[tex](3 times of x) - 13 = 305[/tex]
[tex]3x - 13 = 305[/tex]
Adding both side by 13
[tex]3x = 318\\[/tex]
Dividing both side by 3
[tex]x = 106[/tex]
Thus, Tomàs was thinking of a number is 106
A volleyball has a surface area of about 227 square inches. Which of these could be the radius of the volleyball
Final answer:
To find the radius of the volleyball given its surface area, use the formula for the surface area of a sphere (4πr²) and solve for r. The approximate radius of the volleyball would be 4.25 inches based on a surface area of 227 square inches.
Explanation:
The surface area of a sphere formula is 4πr², where r is the radius. Given that the volleyball's surface area is about 227 square inches, we can find the radius by rearranging the formula as follows:
4πr² = 227r² = 227/(4π)r ≈ √(227/(4π)) ≈ 4.25 inchesWhich expression is equivalent to 2 (14 x minus 3 y + 28 x + 12.2 minus 5 y minus 17.5)?
Answer:
The given expression simplifies to 84x - 16y - 35
Step-by-step explanation:
The given equation is 2 ( 14x - 3y + 28x - 5y - 17.5)
The given equation simplifies to
28x - 6y + 56x - 10y - 35
which is equal to
84x - 16y - 35
The expression 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) simplifies to 84x - 16y - 10.6.
Explanation:The expression that is equivalent to 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) can be simplified using the distributive property and combining like terms.
First, distribute the 2 to each term inside the parentheses:
2(14x - 3y + 28x + 12.2 - 5y - 17.5) = 28x - 6y + 56x + 24.4 - 10y - 35
Next, combine like terms:
28x + 56x = 84x
-6y - 10y = -16y
24.4 - 35 = -10.6
So, the simplified expression is 84x - 16y - 10.6.
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There are 32 peanuts in a bag Elliot takes 25% of the peanuts from the bag . Then Zaire takes 50% of the remaining peanuts. How many peanuts are left in the bag
Answer: 8
Step-by-step explanation:
32/2 (50%) = 16
32/4 (25%) = 8
Add these together and you'll get 24. Subtract that from the initial amount and you'll have 8.
Bob drove 30 and one third miles towards his house in one third an hour. About how long will the entire 100 mile trip take at this speed?
It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.
Step-by-step explanation:
Given,
Distance covered = [tex]30\frac{1}{3}[/tex] = [tex]\frac{91}{3}[/tex] miles
Time taken =[tex]\frac{1}{3}[/tex] hour
We know that;
Distance = Speed * Time
[tex]\frac{91}{3} = Speed*\frac{1}{3}[/tex]
Multiplying both sides by 3
[tex]3*\frac{91}{3} = Speed*\frac{1}{3}*3[/tex]
91 = Speed
Bob was driving at 91 miles per hour.
Now,
Distance to cover = 100 miles
Time required = x
Distance = Speed * Time
[tex]100=91x\\91x=100[/tex]
Dividing both sides by 91
[tex]\frac{91x}{91}=\frac{100}{91}\\x=1\frac{9}{91}[/tex]
It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.
Keywords: fraction, distance
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Simplify by combining like terms. -4a + b + 9 + a -b-3 plz help !
Answer:
- 3a + 6
Step-by-step explanation:
subtract and add like items together like
- 4a + a = -3a
b-b= 0
and
9-3 = 6
so the answer is
-3a +6
Madison is carrying a 11.3 liter jug of sports drink that weighs 7 kg.
What is the constant multiple of liters in a jug to the weight in kilograms?
Answer:
Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)
Step-by-step explanation:
Given, Madison is carrying a 11.3 liter jug of sport drink that weights 7 kg.
Let the constant term be x
According to the problem,
11.3 × x = 7
⇔[tex]x =\frac{7}{11.3}[/tex]
⇔x = 0.62
Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)
What the answer of 3/5+4/7
Step-by-step explanation:
3/5+4/7
= 41/35
that's the answer
Help please, lots of points! Give explanation!
Yo sup??
To solve the 31st one just imagine and add all the cubes.
Start from the left side and keep on counting in your mind.
You will end with 25 cubes
For the 32nd one you can just draw a chart to know it.
Since this man has no bro or sis he is a single child.
The man in the picture is himself.
He is pointing to his picture and saying that 'that guys dad is my dad' and since he's a single child therefore its him itself.
So the answer is that man itself.
For the last one again try to draw a chart and connect the dots with the information.
So Lakisha had a bull dog. Since she has a bull dog she can't have Paul as her brother because paul is the brother of that girl who has her pet as horse.
This means paul is the brother of either Angela or Jessica. But its given that the brother of Angela is Ken therefore Paul is the brother of Jessica.
So the relations are
Lakisha-Bull dog, Stephen
Angela-Ken,XXXXX
Jessica-horse,Paul
Hope this helps.
Solve: 12 Superscript x squared + 5 x minus 4 Baseline = 12 Superscript 2 x + 6
Answer:
[tex]x = - 5[/tex]
or
[tex]x = 2[/tex]
Step-by-step explanation:
We want to solve ;
[tex] {12}^{ {x}^{2} + 5x - 4} = {12}^{2x + 6} [/tex]
We equate the exponents, because is the same on both sides.
[tex] {x}^{2} + 5x - 4 = 2x + 6[/tex]
We group and rewrite in standard form to get:
[tex] {x}^{2} + 5x - 2x - 4 - 6 = 0[/tex]
[tex]{x}^{2} + 3x- 10= 0[/tex]
[tex] {x}^{2} - 2x + 5x - 10 = 0[/tex]
[tex]x(x - 2) + 5(x - 2) = 0[/tex]
[tex](x + 5)(x - 2) = 0[/tex]
[tex]x = - 5 \: or \: x = 2[/tex]
The solutions are x = 2 and x = -5.
To solve the equation [tex]12^{x^{2} +5x-4}[/tex] = [tex]12^{2x+6}[/tex], we first note that since the bases are the same, we can equate the exponents:
⇒ x² + 5x - 4 = 2x + 6.
Next, we move all terms to one side to form a quadratic equation:
⇒ x² + 5x - 4 - 2x - 6 = 0
Simplifying this gives us:
⇒ x² + 3x - 10 = 0
We can now solve this quadratic equation using the quadratic formula, which is defined as:
⇒ x = (-b ± √(b² - 4ac)) ÷ 2a
For our equation, a = 1, b = 3, and c = -10. Substituting these values into the quadratic formula:
⇒ x = (-3 ± √(3² - 4 × 1 × (-10))) ÷2 × 1
⇒ x = (-3 ± √(9 + 40)) ÷ 2
⇒ x = (-3 ± √49) ÷ 2
⇒ x = (-3 ± 7) ÷ 2
This gives us two solutions:
⇒ x = (4) ÷ 2 = 2
⇒ x = (-10) ÷ 2 = -5
So, the solutions are x = 2 and x = -5.
which of the following is a solution to the equation 16=4x-4?
a.-5
b.-4
c.5
d.16
Answer: C. 5
Step-by-step explanation:
Answer:
c.5
Step-by-step explanation:
16 = 4x -4
Collect like terms
16 + 4 = 4x
20 = 4x
Divide both sides by 4
20/4 = x
Therefore x = 5
Find x, then find the measurement of both angles.
A: x = 20; both angles measure 112 degrees
B: x = 20; both angles measure 110 degrees
C: x = 30; both angles measure 114 degrees
D: x = 30; both angles measure 118 degrees.
Answer:
C:x=30:both angles measure 114 degrees
Step-by-step explanation:
in 2 parallel lines with a transversal, the marked angles are alternate exterior angles, which means that both angles are congruent(equal)
ur equation is: 2x+54=4x-6
60=2x
x=30
we have now eliminated options a and b
CHECK:
2*30+54=60+54=114
4*30-6=120-6=114
114=114
PLEASE MARK BRAINLIESTWhat is 120 divided by 3/5
Answer: 200
Step-by-step explanation:
120 divided by 3/5 is the same thing as 120 times 5/3.
So 120 x 5 = 600
And 600 divided by 3 is 200
The result of the division 120 divided by 3/5 is : 200.
Here, we have,
given that,
What is 120 divided by 3/5
we know that,
120 divided by 3/5 is the same thing as 120 times 5/3.
i.e. 120 ÷ 3/5
=> 120 × 5/3
now, we know that,
So 120 x 5 = 600
=> 600/3
And 600 divided by 3 is 200.
so, we get,
Hence, The result of the division 120 divided by 3/5 is : 200.
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Simone has 5 employees in her flower shop. each employee works 6 4/15 hours per day.how many hours in total do the 5 employees work per day
Which expression are solution to the equation 2.4y=13.75
The solution to the equation 2.4y=13.75 is found by isolating the variable y, which gives us y = 5.729167.
Explanation:The question asks for the solution to the equation 2.4y =13.75. To solve this equation, we simply need to isolate the variable y. This can be done by dividing both sides of the equation by 2.4.
So, now the equation becomes y =13.75 ÷ 2.4.
After performing the division, you get y = 5.729167. Thus, y=5.729167 is the solution to the equation 2.4y=13.75.
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There are 15 vocabulary words in Week I. There are 8 more vocabulary words in Week 2 than in Week I. How many words are there in both weeks?
Answer:
There are 38 vocab. words in both weeks
Step-by-step explanation:
There are a few steps to this problem:
First, we know that there are 15 vocab. words in week 1.
Then, in week 2 there are 8 more words than in week 1. So that means 15+8 which equals 23.
Finally, we know that there were 15 words in the first week, and 23 in the second week. So now how many words were there in both weeks? To answer that, you add the number of words in the first week, to the number of words to the second week.
23 + 15 = 38 words total in both weeks
Referring to the figure, refer to the coordinate system shown and
write the ordered pair that names point G.
a. (-4, -1) c. (2, -1)
b. (4, -1) d. (-1, 2)
Answer: C.
Step-by-step explanation: if you count the you can see that G = (2, -1).
Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck is $6,500 including her salary which is $1,000. Her sales for the week totaled to $45,000. Express her rate of commission as a percent rounded to the nearest whole number.
Answer:12.2%
Step-by-step explanation:
Her total paycheck minus her salary = the commission amount
So
6500 - 1000 = 5500
So....her commission as a percentage of sales = 5500/ 45000 = about 12.2%
X squared minus two X minus e to the 5th power equals 0
Answer:
Step-by-step explanation:
true dat
How many times can 25 fit into 246
Answer:
9.84 times
Step-by-step explanation:
246÷25= 9.84
Answer:
9, or more specifically, 9.84
Step-by-step explanation:
25 x 9 = 225.
25 x 10 = 250, which is too much.
Hope this helps!
HELP PLZ! THIS IS TIMED.
Answer:
[tex]b_n=\dfrac{2}{3}\cdot (9)^{n-1}[/tex]
Step-by-step explanation:
Given the geometric sequence
[tex]a_1=\dfrac{2}{3}\\ \\a_n=3a_{n-1},[/tex]
then
[tex]a_1=\dfrac{2}{3}\\ \\a_2=3a_1=3\cdot \dfrac{2}{3}=2\\ \\a_3=3a_2=3\cdot 2=6\\ \\a_4=3a_3=3\cdot 6=18\\ \\a_5=3a_4=3\cdot 18=54\\ \\...[/tex]
Hence,
[tex]b_1=a_1=\dfrac{2}{3}\\ \\b_2=a_3=6=\dfrac{2}{3}\cdot 9\\ \\b_3=a_5=54=\dfrac{2}{3}\cdot 9^2\\ \\...[/tex]
Thus, the explicit formula is
[tex]b_n=\dfrac{2}{3}\cdot (9)^{n-1}[/tex]
Gumballs are 2 for 8 cents. How many gumballs can I get for 32 cents
Answer: you can get 8 gum balls
Step-by-step explanation:
Pat and Julie share some money in the ratio 2 : 5
Julie gets £45 more than Pat.
How much money did Pat get?
Answer:
22.50
Step-by-step explanation:
the ratio is 2:5 so if julie got 45 then pat would get half of what julie got
45 divided by 2
What are the solutions to the equation x2 + 4x + 5 = 0?
Answer:
no answer
Step-by-step explanation:
x^2+4x+5=0
(x+2)^2+1=0
(x+2)^2=-1
this is impossible,
so this equation has no answer
Answer:
Step-by-step explanation:
15 POINTSSS!!!!
LOOK IN ATACHED IMAGE
Answer:
25
Step-by-step explanation:
2 x 2 x 2 x 2 + 3 x 3
4 x 2 x 2 + 3 x 3
8 x 2 + 3 x 3
16 + 3 x 3
16 + 9
25
Answer:
25
Step-by-step explanation:
2^4+3^2
2^4=2*2*2*2=16
3^2=3*3=9
16+9=25
Judys heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour
Answer:
4200
Step-by-step explanation:
Final answer:
To find the total number of heartbeats in an hour, multiply the heartbeats per minute by 60. For Judy, her heart beats around 4200 times in an hour.
Explanation:
Judy's heart beats 70 times a minute. To calculate how many times her heart beats in an hour, you can use the following formula:
Heartbeats per hour = Heartbeats per minute x 60 minutes
Heartbeats per hour = 70 x 60 = 4200 times
Sally baked 60 cookies for a bake sale. If 12 of her cookies sold in the first hour. What percent of her cookies sold
The two circles shown above have radii of 2 in. and 6 in.
What is a circum A over b?
Answer:
1/3
Step-by-step explanation:
For the first circle 2 x 2in = 4 to find diameter
4 x 3.14 = 12.56
6in x 2 = 12
12 x 3.14 = 37.68
simplify
12.56/37.68
6.28/18.84
3.14/9.42
So the answer is 1/3 since 3.14 x 3 = 9.42
Also since the radius is 3 times longer
Answer:
1/3
Step-by-step explanation: