x times 3 plus 2: answer
If 5 pounds of potatoes cost $3.75. How much do 12 pounds of potatoes cost?
5 pounds= 3.75
12 pounds= x
5x= 12*3.75
5x=45
12 pounds costs $9
Someone help me please
co= same planar = plane
coplanar means "same plane"
Answer: D
A blueprint for a room has a scale of 1 in. to 3 ft. On the blueprint, one wall measures 9 in. in length. If L represents the length of the actual wall, what is L?
If the scale is 1 inch to 3 feet, and the wall is 9 inches, then our equation would be:
9 x 3 = L 9 x 3 = 27 So, L = 27!
1 in to 3 is times 3. So 9 times 3 is 27. L=27
The scale of a map says 4cm represents 5km what distance on the map (in centimeters) represents an actual distance of 4 km?
Answer:
3.2 cm on the map (in centimeters) represents an actual distance of 4 km
Step-by-step explanation:
The scale of a map says 4cm represents 5km
We are supposed to find what distance on the map (in centimeters) represents an actual distance of 4 km
5 km = 4 cm
1 km = [tex]\frac{4}{5} cm[/tex]
4 km = [tex]\frac{4}{5} \times 4 cm[/tex]
4 km = [tex]3.2 cm[/tex]
Hence 3.2 cm on the map (in centimeters) represents an actual distance of 4 km
use the distributive property to write an expression equivalent to 5×(3+4)
Final answer:
To use the distributive property to write an expression equivalent to 5×(3+4), distribute the 5 to both the 3 and the 4 and simplify.
Explanation:
To use the distributive property to write an expression equivalent to 5×(3+4), we need to distribute the 5 to both the 3 and the 4. This means we need to multiply 5 by each number inside the parentheses:
5 × 3 = 15
5 × 4 = 20
So, the expression equivalent to 5×(3+4) is 15 + 20, which simplifies to 35.
A total of 676 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 fewer student tickets sold than adult tickets. How many adult tickets were sold?
There were 375 adult tickets sold.
Explanation:This question involves a concept in basic algebra. Let's denote the number of adult tickets as A and the number student tickets as S. From the problem, we know that the total number of tickets sold is 676, so A+S=676. The problem also tells us that there were 74 fewer student tickets sold than adult tickets, so we know that S=A-74.
We can substitute the value of S from the second equation into the first equation which gives us A+(A-74)=676. By solving this equation we find that A=375, so there were 375 adult tickets sold.
Let's denote the number of adult tickets sold as x. Since there were 74 fewer student tickets sold, the number of student tickets sold is x - 74. The total number of tickets sold is the sum of the adult and student tickets, which is 676.
Therefore, we can write the equation:
x + (x - 74) = 676
Simplifying the equation:
2x - 74 = 676
Adding 74 to both sides:
2x = 750
Dividing by 2:
x = 375
So, 375 adult tickets were sold.
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you are decorating a clean soup can to make a pencil holder. you are going to glue yarn around the top and bottom of the can. the total amout of (y) yarn in inches (in inches) you need is given by the equation y = 4πr where r is the radius of the can. solve for r.
I will give brainliest
Answer:
r = y / (4π)
37.68 = 4 x 3.14 x r
37.68 = 12.56 r
so r = 37.68 ÷ 12.56 = 3
Step-by-step explanation:
We want to solve the given equation for r.
We will get:
r = y/(4*π)
The equation for the total amount of "y" tarn in inches is:
y = 4*π*r
Where π = 3.14159
And r is the radius of the soup can.
We want to solve the given equation for r, this means that we need to isolate r.
To do it, we just need to divide by 4*π in both sides, so we get:
y/(4*π) = 4*π*r/(4*π) = r
Then we got:
r = y/(4*π)
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I am F years old and my brother is B years older.What was the difference of our ages two year ago?
Answer:
So the difference of ages 2 years ago is [tex]B[/tex] years.
Step-by-step explanation:
The difference of age between me and my brother will not change whether we go back in time or forward in time, it will always be the same difference as of now. In this case it is B years. To further prove this we can do a calculation as below,
If I am F years old and brother is [tex]B[/tex] years older, the age of my brother is,
Age of the brother = [tex]F+B[/tex]
Age of me 2 years ago = [tex]F-2[/tex]
Age of my brother 2 years ago = [tex]F+B-2[/tex]
So the difference of ages 2 years ago can be calculated as,
Age of my brother 2 years ago - Age of me 2 years ago
=[tex]F+B-2[/tex] - [tex]F-2[/tex]
=[tex]F+B-2-(F-2)[/tex]
=[tex]F+B-2-F+2[/tex]
=[tex]B[/tex]
Write 5.9×10^−8 in decimal form.
If you mean standard form its
.000000059
PLEASE HELP THIS IS DUE TOMORROW I WILL GIVE YOU BRAINLIEST
A bird is flying 43 5/9 feet above the sea. A fish is swimming 23 2/3 feet below the surface of the sea, directly below the bird. What is the vertical distance between the bird and the fish?
Answer:
67.23
Step-by-step explanation:
Please refer to the attachment photo for explanation
Final answer:
The vertical distance between the bird and the fish is 67 2/9 feet.
Explanation:
To calculate the vertical distance between the bird and the fish, we need to add the distance the bird is flying above the sea to the distance the fish is swimming below the sea.
The bird is flying at a height of 43 5/9 feet above the sea, which can be converted to an improper fraction for easier calculation:
43 5/9 = (43×9 + 5)/9 = 392/9 feet
The fish is swimming at 23 2/3 feet below the surface of the sea, which also can be converted to an improper fraction:
23 2/3 = (23×3 + 2)/3 = 71/3 feet
To find the total distance, we add these two fractions:
392/9 (bird's height) + 71/3 (fish's depth)To add these fractions, we need a common denominator. The lowest common denominator for 9 and 3 is 9.
392/9 + 71/3×3/3 = 392/9 + 213/9Total distance = 392/9 + 213/9 = 605/9 feetWhen we convert the improper fraction back to a mixed number, we get:
605/9 feet = 67 2/9 feetSo, the vertical distance between the bird and the fish is 67 2/9 feet.
What are the x- and y-intercepts of 2x+4y=8
x-intercept: (4,0)
y-intercept: (0,2)
chip earns a base salary of $500 per month as a salesman.In addition to the salary,he earns $90 per product that he sells .if his goal is to earn $5000 per month,how many products does he need to sell
To earn his desired $5000, Chip must sell 50 products per month. Firstly, his desired income minus his base salary is calculated this gives the additional income needed from products ($4500). Dividing this by the amount per product, gives the number of product sales needed (50).
Explanation:Chip earns a basic salary of $500 per month. His goal is to earn $5000. The additional income he earns comes from selling products at $90 each. If he wants to reach his goal, we need to first subtract his base salary from his goal income.
$5000 - $500 = $4500
This means that he needs to earn $4500 from selling products. We then divide this by the amount he makes per product to find the number of products he needs to sell.
$4500 / $90 = 50
So, Chip needs to sell 50 products in order to meet his income goal of $5000 per month.
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Three hundred twenty-two thousand nine hundred and seven dollars
Not sure exactly what your asking but the numerical form of that would be $322,907.
322,907
3=the hundred thousandth place which in this case is 3
2=the ten thousandth place which in this case is 2
2=the thousandth place which in this case is 2
9=the hundredth place which in this case is 9
0=the tenth place which in this case is 0
7=the ones place which in this case is 7
Hope this helps!
In △XYZ, XY=XZ.
Find the length of XY of △XYZ if XY=2a, YZ=3a+1, and XZ=5a−12.
4
6.5
8
29
*Q2:
In △ABC, m∠A=(4x+7)° and m∠B=(5x−3)°.
What is m∠B?
Question 2 options:
47°
10°
45°
93°
Answer:
XY=8
Step-by-step explanation:
In △XYZ, XY=XZ
It is isosceles triangle whose equal sides are XY=XZ
We are given,
XY=2a
YZ=3a+1
XZ=5a-12
XY=XZ
So, 2a=5a-12
Solve for a,
2a-5a=-12
-3a=-12
a=4
Now we put a=4 into XY=2a
So, XY=2(4)=8
Answer:
1.In △XYZ, XY=XZ.
We have to Find the length of XY of △XYZ if XY=2a, YZ=3a+1, and XZ=5a−12.
Now, X Y=X Z [given]
→2 a= 5 a-12
Bringing like terms on same side
→2 a-5 a=-12
→-3 a=-12
→a=(-12)÷(-3)
a=4 is correct answer among all the options.
2.In △ABC, m∠A=(4x+7)° and m∠B=(5x−3)°.
What is m∠B?
Ans: as ∠ C not given we can't find ∠B.
Question number 3 lol I need help please
the answer is b. to calculate 5% interest you multiply whatever by 0.05, this immediately eliminates any other answer
The function "g" is defined as g(x)=5x+a, where "a" is a constant. If g(4)=31, what is the value of "a"?
To find the constant 'a' in the function g(x) = 5x + a, you can substitute the known values into the function. Here, it leads us to the equation 5*4 + a = 31. Solving this equation gives 'a' = 11.
Explanation:The question gives us the value of g(4) and asks us to find the constant 'a' in the function g(x) = 5x + a.
To solve for 'a', we can substitute the known values into the equation. We know that g(4) = 31, and the function g(x) is defined as 5x + a. Therefore, we replace 'x' with 4 in the function. This gives us 5*4 + a = 31.
Solving this equation, we find that 20 + a = 31. By subtracting 20 from both sides of the equation, we can solve for 'a', giving us 'a' = 31 - 20 = 11.
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A container holds 80,000 ounces of water. There is a small leak in the the container. Every 96 minutes, 1.9 ounces of water leak out. What is the total change in water after 8 hours?
It is known that 60 minutes equals 1 hour.
Therefore, the first thing we do to solve the problem is to calculate how many hours are equivalent to 96 minutes.
For that we calculate:
[tex]96 minutes * \frac{1 hour}{60minutes}=\frac{96}{60}=1.6hours\\[/tex]
Thus:
96 minutes = 1.6 hours.
1.9 ounces of water are lost every 1.6 hours.
Therefore, in 8 hours the amount of water lost is:
[tex]\frac{8hours}{1.6hours}*1.9 = 9.5\\[/tex] ounces of water
After 8 hours, 9.5 ounces of water are lost
Therefore, the amount of water left in the tank after 8 hours is:
[tex]80 000-9.5=79990.5[/tex] ounces
michelle bought 70 pounds of cocoa powder for her bakery
Two numbers have an absolute value of 37. Which of the two number is farther from 1 on the number line
If I understand what you're saying. It would be the absolute value of -37, which is 37. Also, the absolute value of 37 is 37.
The absolue valor of 37 is 37
If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5
y = k / x² ( y varies inversely as the square of x )
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8 / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200
Hope This Helps!!!
Solution is given in image attached.
Question1, shop A trainers normal price £85 1/3 off and shop B trainers normal price £80 30% off in which shop are the trainer cheaper?
you must show your working
Question2, in a sale all items are reduced by 30% on the final day the sale price are reduced by 20% work out the final day price of a sofa that was priced at £290 before the sale started
Question 1:
Shop A trainers normal price= £85
[tex]\frac{1}{3}[/tex] is off so it becomes [tex]\frac{1}{3}\times85=28.33[/tex]
So price becomes: [tex]85-28.33=56.67[/tex]
Shop B trainers normal price= £80
30% is off so it becomes: [tex]\frac{30}{100}\times80=24[/tex]
So price becomes: [tex]80-24=56[/tex]
So, Shop B has cheaper trainers.
Question 2:
In a sale all items are reduced by = 30%
On the final day the sale price are reduced by = 20%
On the day before the last day of the sale, the price of the sofa was [tex]0.7\times290=203[/tex]
As given, on the last day of the sale, the price was again reduced to 80% of the price the day before, so price becomes: [tex]0.8\times203=162.40[/tex]
Hence the price was £162.40
how many times does 100 go into 750
100 can go into 750 7.5 times :)
750 divided by 100 is 7.5 so 100 goes into 750 7.5 times
At which position is the northern hemisphere experiencing spring?
The image includes the position and tilt of Earth in its orbit around the sun. Earth is tilted away from the sun in position A. In position B, the sun shines evenly on Earth from pole to pole. Earth is tilted toward the sun in position C. In position D, the sun shines evenly on Earth from pole to pole.
Public Domain
Point A
Point B
Point C
Point D
The northern hemisphere is experiencing spring at Point B.
Spring is one of the four seasons. It follows winter and is followed by summer. During the spring, in the northern regions of the Northern Hemisphere, the trees become much greener and many plants flower; gradually it gets warmer and the chance of frost decreases.
Astronomical spring starts in the Northern Hemisphere usually on March 20 and ends usually on June 21.
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Answer: point b
Step-by-step explanation:
What is 16x9+67x9 can someone help me?
Answer: 747
Step-by-step explanation:
16x9+67x9
First multiply 16 and 9 which is equal to 144
144+67x9
now multiply 67 and 9 which is equal to 603
144+603
Now add 144 and 603 which is equal to 747
So the answer to 16x9+67x9 is 747
use PEMDAS
16 * 9 + 67 * 9 =
144 + 603 =
747
Please solve this problem with full sentences and explain it please.
Question 2
(02.05 MC)
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P'Q'R' has vertices P'(4, 0), Q'(3, 1), and R'(−1, −2).
Plot triangles PQR and P'Q'R' on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)
ANSWER TO QUESTION 1.
We plot the points:
[tex]P(8,0)[/tex]
[tex]Q(6,2)[/tex]
and
[tex]R(-2,-4)[/tex]
We plot the image triangle also with the points,
[tex]P'(4,0)[/tex]
[tex]Q'(3,1)[/tex]
and
[tex]R(-1,-2)[/tex]
See graph in attachment.
ANSWER TO QUESTION 2.
The scale factor is the ratio of the image length to the object length.
[tex]Scale\: factor=\frac{|P'Q'|}{|PQ|}[/tex].
We need to use the distance formula to determine the two lengths.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]|P'Q'|=\sqrt{(3-4)^2+(1-0)^2}[/tex]
[tex]|P'Q'|=\sqrt{(-1)^2+(1)^2}[/tex]
[tex]|P'Q'|=\sqrt{1+1}[/tex]
[tex]|P'Q'|=\sqrt{2}[/tex]
[tex]|PQ|=\sqrt{(6-8)^2+(2-0)^2}[/tex]
[tex]|PQ|=\sqrt{(-2)^2+(2)^2}[/tex]
[tex]|PQ|=\sqrt{4+4}[/tex]
[tex]|PQ|=\sqrt{8}[/tex]
[tex]|PQ|=2\sqrt{2}[/tex]
Therefore the scale factor of the dilation is
[tex]Scale\: factor=\frac{\sqrt{2}}{2\sqrt{2}}[/tex].
[tex]Scale\: factor=\frac{1}{2}[/tex].
ANSWER TO QUESTION 3
For a reflection in the y-axis we negate the x-coordinates. That means we are using the y-axis as our mirror line. The mapping is given as follows:
[tex]P'(4,0)\rightarrow P''(-4,0)[/tex]
[tex]Q'(3,1)\rightarrow Q''(-3,1)[/tex]
and
[tex]R(-1,-2)\rightarrow R''(1,-2)[/tex]
ANSWER TO QUESTION 4
We can see from the diagram that, PQR is bigger than P"Q"R".
The reason is that PQR was reduced by scale factor of half and then reflected in the y-axis to obtain P"Q"R".
Since dilation is not a rigid motion, the two triangles PQR and P''Q''R" are not equal in all respect, therefore they are not congruent.
Which equation represents a linear function that has a slope of and a y-intercept of –6?
The equation representing a linear function with a slope of 4 / 5 and a y-intercept of -6 is y = 4 / 5 x - 6.
The equation of a linear function can be written in the form:
y = 4 / 5 x + b
where "m" represents the slope of the line, and "b" represents the y-intercept (the value of y when x is 0).
Given that the slope is 4/5 and the y-intercept is -6, the equation would be:
y = 4 / 5 x - 6
So, the equation representing a linear function with a slope of 4.5 and a y-intercept of -6 is y = 4.5x - 6.
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Complete question is :
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?
Find the degree measure of 15.26 rad
Answer: " 874.33 ° " .
___________________________________
Step-by-step explanation:
15.26 rad * ( 180 degree / [tex]\pi[/tex] rad ) ;
= [ (15.26 * 180) / [tex]\pi[/tex] ] degrees ;
= [ ( 2746.8 ) / [tex]\pi[/tex] ] degrees.
= [ ( 2746.8) / 3.14) ] degrees ;
= 874.3336 degrees;
→ round to: " 874.33 degrees ."
____________________________________
Final answer:
To find the degree measure of radian 15.26, multiply 15.26 by 57.3, resulting in 874.798 degrees.
Explanation:
To convert radians to degrees, you can use the conversion factor: 1 radian = 57.3 degrees.
Given that 15.26 radians is the measure:
Multiply 15.26 by 57.3 to get the degree measure.
15.26 radians * 57.3 degrees/radian = 874.798 degrees
what is the value of x?
A) x=2.25
B) x=11.25
C) x=13
D) x=22
PLEASE HELP ASAP
15 POINTS
1/2(4x-5) + 5/2 = 10
Use the distributive property:
2x - 5/2 + 5/2 = 10
Use addition property:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
Using the discriminant, determine the number of real solutions.
2x^2+7x-15=0
- no real solutions
-one real solution
-two real solutions
Answer:
Since discriminant is positive, therefore, the given quadratic equation has two real solutions. Correct answer is the last option.
Step-by-step explanation:
We have been given a quadratic equation and we need to figure out the number of real solutions of the equation.
[tex]2x^{2}+7x-15=0[/tex]
We know that discriminant of a general quadratic equation [tex]ax^{2}+bx+c=0[/tex] is given by [tex]D=b^{2}-4ac[/tex]
For the given quadratic equation [tex]2x^{2}+7x-15=0[/tex], we have [tex]a=2,b=7,c=-15[/tex]. Upon substituting these values in the formula for discriminant, we get:
[tex]D=7^{2}-4(2)(-15)[/tex]
[tex]D=49+120[/tex]
[tex]D=169[/tex]
Since discriminant is a positive number, therefore, the given quadratic equation has two real solutions. Hence, the last option is the correct answer.
Answer:
two real solutions
Step-by-step explanation: