Answer:
Real numbers = 39 and 9
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c = 0
Given the following data;
a = 1
b = -43
c = 306
Quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the equation, we have;
[tex] x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1} [/tex]
[tex] x = \frac {43 \pm \sqrt {1849 - 1224}}{2} [/tex]
[tex] x = \frac {43 \pm \sqrt {625}}{2} [/tex]
[tex] x = \frac {43 \pm 25}{2} [/tex]
[tex] x_{1} = \frac {43 + 25}{2} [/tex]
[tex] x_{1} = \frac {68}{2} [/tex]
[tex] x_{1} = 39 [/tex]
[tex] x_{2} = \frac {43 - 25}{2} [/tex]
[tex] x_{2} = \frac {18}{2} [/tex]
[tex] x_{2} = 9 [/tex]
Therefore, the two real numbers are 39 and 9.
The quadratic equation now becomes;
x² - 43x + 306 = (x - 39)(x - 9) = 0
WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN
Answer:
10) 51°
11) 152
Step-by-step explanation:
10) 42 + 9 = 51
11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152
Answer:
1. it dropped by 51°F
im not too sure abt number 2
Segments DE and AB are parallel
Answer:
yes segment DE and AB are parallel
Answer:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Step-by-step explanation:
We use the proportion among similar triangles:
CE/CD = CB/AC
and solve for CB:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bakery collect if it sells the cookies for $7 per box? Show how you solved this below.
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6
Answer:y=12
Step-by-step explanation:
Answer:
y=12
Step-by-step explanation:
i hope it was helpful
A is what percent of B? Pls help???
Answer:
If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!
Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image
which set of vaules could be the side lengths of a 30-60-90 triangle
Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.
Step-by-step explanation:
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
We have,
In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.
The side lengths of a 30-60-90 triangle have a specific ratio.
Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.
The ratios of the side lengths in a 30-60-90 triangle are as follows:
Shortest side: x
Side opposite 60-degree angle: y = x√3
Hypotenuse: z = 2x
Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.
The values must satisfy the above relationships.
Possible sets of values for the side lengths of a 30-60-90 triangle are:
Set 1:
x = 1
y = x√3 = √3
z = 2x = 2
Set 2:
x = 2
y = x√3 = 2√3
z = 2x = 4
Set 3:
x = 3
y = x√3 = 3√3
z = 2x = 6
Set 4:
x = k (where k is any positive constant)
y = x√3 = k√3
z = 2x = 2k
These sets of values satisfy the ratios for a 30-60-90 triangle.
Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.
So,
Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.
Thus,
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
Learn more about triangles here:
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What is the square root of six divided by seventy five
Answer:
0.32 is the answer. to this question
SOMEONE PLEASE HELP ASAP
Answer: 16.2 is the answer
Step-by-step explanation:
Hey guys I need help what is 361.5 divided by 12
Answer:
180.75
Step-by-step explanation:
How many times do 5 go into 8
Answer:
1 time :)
Step-by-step explanation:
Answer:
It can only go into 8 once
8÷5=1.6
Step-by-step explanation:
HI PLS I NEED HELPPPPPP NO DUMDUM ANSWERS I LEGIT NEED HELP
9514 1404 393
Answer:
Part A: C) The order of discounts does not matter.
Part B: both prices are $54.91
Step-by-step explanation:
Part A:
The calculation of the final price can be ...
((original price)·(1 - membership discount))·(1 -sale discount)
= ((original price)(0.88))(0.80)
The associative and commutative properties of multiplication tell you this is fully equivalent to ...
= (original price)(0.80)(0.88)
In short, the order of discounts does not matter.
__
Part B:
When the membership discount is applied first, the final price is ...
($78)(0.88)×0.80 = $68.64·0.80 = $54.91
When the sale discount is applied first, the final price is ...
($78)(0.80)×0.88 = $62.40·0.88 = $54.91
105 people are going to a movie 6 people can ride in each car how many cars are needed to get all 105 people to the movie
Answer:
17.5
105 divided by 6 equals 17.5
18 cars are needed to get all 105 people to the movie.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, 105 people are going to a movie 6 people can ride in each car.
Let the number of cars required be x.
Now, x= Total number of people/Number of people in each car
= 105/6
= 17.5
≈ 18
Therefore, 18 cars are needed to get all 105 people to the movie.
To learn more about an equation visit:
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Solve the inequality |3t+1| > 8.
or
[tex]t > \frac{7}{3} [/tex]I'm having trouble with this question from writing linear equations given two points worksheet by Kuta software can you help? question: (-20, -16), (-1, 18)
Answer:
19y - 34x = 376
Step-by-step explanation:
We are to write the linear equation of a line passing through the points
(-20, -16), (-1, 18)
Using the points slope form of the equation expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is any point on the line
m = y2-y1/x2-x1
m = 18-(-16)/-1-(-20)
m = 18+16/-1+20
m = 34/19
Substitute the slope m =34/19 and the point (-1, 18) into the expression given
y- 18 =34/19(x-(-1))
19(y-18) = 34(x+1)
19y - 342 = 34x+34
19y-34x = 34+342
19y - 34x = 376
Hence the required equation is 19y - 34x = 376
What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-
Answer:
12
Step-by-step explanation:
i counted 12 units from A to get to B
Answer:
I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.
You earned $44.55 in 9 hours.Your friend earns $51 in 12 hours.How much do you and your friend each together earn if you work 20 hours?
Answer:
4.95 * 20 = 99 your earnings
4.25 * 20 = 85 friends earnings
Step-by-step explanation:
44.55/9 = hourly earnings
4.95 per hour
51/12= hourly earnings
4.25 per hour
4.95 * 20 = 99 your earnings
4.25 * 20 = 85 friends earnings
Are these triangles similar?
Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
My question is regarding cylinders plz.. Here it goes - a student winds a strip of paper eight times round a cylindrical pencil of diameter 7mm. Use the value 22/7 for π to find the length of the paper (ignore the thickness of the paper) pls I don't understand this .. Pls help
Answer:
176cm
Step-by-step explanation:
Step 1
We find the circumference of the cylinder
The formula for the Circumference = 2πr or πD
π = 22/7
Hence;
22/7 × 7
= 22
Since the strip of paper eight times round a cylindrical pencil of diameter 7mm, the length of the paper is calculated as: 22 × 8
= 176cm
4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12
Answer:
C
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppp
Answer:
I can help
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first one- 40
the second one- 2.5
This should be correct if I did my math correctly
Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned. a. How many peanut butter cookies does Fred have left to sell?
Answer: 12 peanut butter cookies
Step-by-step explanation:
Fred had made 10 dozen cookies which means he made:
= 10 * 12
= 120 cookies
Out of those, 1/4 were peanut butter:
= 120 * 1/4
= 30 peanut butter cookies
He burned 3/5 of the peanut butter cookies:
= 30 * 3/5
= 18 cookies were burnt
The amount let is therefore:
= 30 - 18
= 12 peanut butter cookies
solve the inequality -2z-3<5. what is the value of z?
Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
The answer is z > -4
but a line down were is the (>)
I ready!
holpe it help
Identify the data that is quantitative.
total number of grocery stores
types of expenses for a grocery store
types of products sold in a grocery store
style of restaurants in a grocery store
Which expression is equivalent?
can someone help me ill give a brainiest
1. 500% Increase
2. 40% Decrease
3. 75% Increase
4. 62.5% Increase
Parson City Middle School has 1,340 students. About 38% of the students are in the seventh grade. About how many seventh-graders attend Parson City Middle School?
Answer: About 509 seventh-graders attend Parson City Middle School.
Step-by-step explanation:
Total students in the school = 1,340
About 38% of the students are in the seventh grade.
Number of students in the seventh grade = 38% of (Total students in the school)
= 0.38 x (1340) [38%= 0.38]
= 509.2 ≈ 509
Hence, About 509 seventh-graders attend Parson City Middle School.
2 (x - 3) + 1/2 (6x)
Answer:
[tex]5x-6[/tex]
Step-by-step explanation:
Answer:
5x-6
Step-by-step explanation:
Here is the simplified version and I'm guessing that's what you need
2(x-3) + 1/2 (6x) Now we distribute
2x-6+3x Combine the like terms
5x-6
Please help me due today easy question
Answer:
$24.00 dollars. The problem is confusing, so sorry if this is wrong.
Step-by-step explanation:
Round 154.98 to the nearest 10th
Answer: 155
Step-by-step explanation:
To round 154.98 to the nearest tenth, remember that in the hundredths place is 8 and is more than 5. Therefore, the tenths value of 154.98 increases by 1 to 0.
What is the slope of the line 6x + y = 24?
Answer:
-6
Step-by-step explanation:
You need to get it in Point-Slope form, or
y = mx + b
Isolate y by subtracting 6x
You are left with:
y = -6x + 24
M is the slope, so in this case, it is -6
Answer:
The slope is -6/1 but the slope-intercept form is y=-6x+24
Step-by-step explanation:
y=mx+b
6x+y=24
first you want to subtract 6x from each side.
y=-6x+24
m=-6x or -6/1
b= 24
