Answer:
The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.
Step-by-step explanation:
(5x-7)^2-1=8 solve for x
Answer:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1 - Simplify by expanding the brackets:
[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]
Step 2 - Subtract 8 from both sides so the equation equals 0:
[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]
Step 3 - Use the quadratic formula:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]
Plug variables in:
[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]
[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]
So x is either:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]
[tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]
[tex]x = \frac{4}{5}[/tex]
Hope this helps!
Lin's family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Group of answer choices
24.5 miles
59.5 miles
200 miles
50 miles
Answer:
70x = 35
100
cross multiply
70x= 35 × 100
70x= 3500
divide both side by 70
70x = 3500
70 70
x= 50miles
What is -3/2 as a decimal
Answer:
-1.5
Step-by-step explanation:
To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)
Answer:
-1.5
Step-by-step explanation:
The circle below represents one whole . …. What percent is represented by the shaded area ?
Answer:
50%
Step-by-step explanation:
shaded area = 2/4
shaded area as a percentage ;
2 / 4 x 100
= 1 / 2 x 100
= 1 / 1 x 50
= 50%
Find the slope of each line. PLS HELP TYSMMMM!
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?
Answer:
David= 30
Maria= 15
Trey= 20
Step-by-step explanation:
If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.
Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427
Answer:
0.6887
Step-by-step explanation:
Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
What is normal distribution?
Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.
Adam's distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.
In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.
Normal distribution z = (x-μ)/σ x ~ (μ,σ)
When x = 108
z = (123 - 108)/47 [Adam's distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]
= 0.3191
P(x > 108) = P(z > - 0.3191)
= 1 - 0.3191 [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]
= 0.6887
Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
Learn more about Normal distribution here
https://brainly.com/question/11943392
#SPJ2
7x+3y=m, solve for y
Juan ate 26 carrots. Carmen ate 3 times as many carrots as Juan ate.
Select the multiplication equation that represents this situation.
Group of answer choices:
25 x 3 = 75
3 x 28 = 84
3 x 26 = 78
26 x 13 = 338
Answer:
It is the third one
Step-by-step explanation:
Answer:
3 x 26 = 78
Step-by-step explanation:
It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Step-by-step explanation:
gjr jrijtigjtitrg rkgtrigjkjgkfrijr l
In Phoenix, Arizona, the average number of sunny days is 211 per year. About what percent of the year is Phoenix sunny?
Answer:
57.81
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
there are 365 days on one year so you need to divide 211 by 365.
211÷365 = 0.578
round: 0.58 or 58%
3. 13.2 -0.006
How would you show the work
Answer:
13.194
Step-by-step explanation:
13.2
- 0.006
-----------------
Just add zeros on the part where there are no numbers
13.200
- 0.006
------------------
13.194
Does anyone know these answers?
Answer:
A
Step-by-step explanation:
We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4
Answer:
A. 3, 3, 4Step-by-step explanation:
Parallel segments to AE are:
BF, CG, DH ⇒ 3Parallel segments to EF:
AB, CD, GH ⇒ 3Segments intersecting with EF under right angle:
AE, EG, BF, GH ⇒ 4Correct choice is A
Is X=7 an oblique Line?
Answer:
no
Step-by-step explanation:
Generally oblique is used to describe the relationship between 2 lines, but only 1 is given. Oblique means slanted to a degree other than a multiple of 90°, usually in reference to the other line.
x = 7 is a vertical line, and that is exactly 90°, -90°, or even 270° or -270° depending on how you look at it, so it is not oblique on its own.
Answer:
x = 7 is not an oblique line.
Step-by-step explanation:
x = 7 is the standard equation for a vertical line, x = a, with an undefined slope. Vertical lines do not have horizontal change. Hence, its line will not be oblique (or slanted).
The equations in slope-intercept form (y = mx + b), standard form (Ax + By = C), and point-slope form [y - y₁ = m(x - x₁)] will most likely represent an oblique line, as long as its slope (m) ≠ 0. A line with a zero slope is a horizontal line (which is also not an oblique line).
Therefore, x = 7 is not an oblique line, but rather a vertical line.
HELP ASAP PLZ!!!!!!!!
Step-by-step explanation:
Triangle KLN has 3 equal angles so all sides of it must be equal ( equilateral triangle)
y+3=10
y=7
Triangle LNM has 2 equal angles as in an isosceles triangle so LN= ML
So sides opposite to equal angles must be equal too
x-6=y+3
x-6= 10
x= 16
Which humanist idea was inspired by ancient Greeks and Romans?
O The government should protect the rights of citizens.
O People should have a say in how their churches are run.
O Formal education is the best way to improve people's lives.
O People can understand the world by using logic and reason to study it.
Answer:
the answer is c
Step-by-step explanation:
its the right answer lol
Answer:
(C) Formal Education is the best way to improve people's lives
Personally I thought it was (D) but now that I think about it...well yeah
.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?
Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.
Step-by-step explanation:
Give an example of an equation whose solution is 5
Answer:
x - 5 = 0
Step-by-step explanation:
x - 5 = 0
Add 5 on both sides,
x - 5 + 5 = 0 + 5
x = 5
The equation whose solution is 5,
" x - 5 = 0 "
Answer:
x-5=0 right answer
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A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?
Answer:
6[tex]\frac{2}{3}[/tex] inches tall
Step-by-step explanation:
4:6 = x:10
We can set it up like this:
[tex]\frac{4}{6}=\frac{x}{10}[/tex]
And then cross multiply & solve:
40 = 6x
6[tex]\frac{2}{3}[/tex] = x
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. (ノ^∇^)
- Heather
Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.
After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.
Shirley also made a note to place an empty store in the opposite location of the bank on the number line.
Where should Shirley plot the empty store?
Answer:
3
Step-by-step explanation:
bookstore is two blocks east of town hall: 0+2=2
the hardware store is three blocks east of the bookstore: 2+3=5
the bank is eight blocks west of the hardware store: 5-8=-3
place an empty store in the opposite location of the bank: opposite of -3 is 3
A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems. show steps for me
Answer:
30%
Step-by-step explanation:
Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems
Math:
Amount of people you had problems / Amount of people who bought the new car.
900 / 3000 = 0.3
Now you need to multiply by 100% (because % in this case is a unit/measurement)
0.3 * 100% = 30%
350 items have donated to the community food pantry and 35 of the items are jars of peanut butter. What percent of the donated items are jars of peanut butter?
Answer:
The answer is 25% donated peanut butter
Step-by-step explanation: Easy
What is the equation of a line that passes through the points (3, 6) and (8, 4)?
Answer:
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
Step-by-step explanation:
→ Find the gradient
[tex]\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}[/tex]
→ Write into y = mx + c format
[tex]y=-\frac{2}{5} x+c[/tex]
→ Substitute in ( 3 , 6 )
[tex]6 = -\frac{6}{5} +c[/tex] ∴ [tex]c = 6+\frac{6}{5} =\frac{36}{5}[/tex]
→ Rewrite into y = mx + c format
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
right ANSWERS only plz i need help on how to do it also not just the answer plz and thank u
Answer:
option c
Step-by-step explanation:
because 2x +1= 0
2x/2= -1
x= -1/2
Find the missing length of each triangle and round to the nearest tenth.
Answer: 5 inches
Step-by-step explanation: We must use the Pythagorean theorem to solve this. Since the hypotenuse is always opposite of the right angle, we know that the hypotenuse is 13 and we can substitute the values into this formula: a^2 + b^2 = c^2
12^2 + b^2 = 13^2
144 + b^2 = 169
169 - 144 = 25 (this is b^2)
[tex]\sqrt{25}[/tex] = 5
Thus, the value of x is 5 inches.
Would appreciate brainliest <3
Ivan was the 31st person in line. His position in line was just behind 5/9 of the total number of people in line. How many people were in line? HELP PLEASE WILL MARK BRAINLIEST
31=1-(5/9)x
30=-(5/9)x
x=54
The answer is 54 people.
hope this helps :)
the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?
Answer:
700 liter
Step-by-step explanation:
because 1000 * 7/10 is 700
In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize
Answer:
Let X be other interior opposite angle of a △XYZ.
Let Y be the third angle.
Exterior angle is equal to sum of interior opposite angles.
120
o
=30
o
+∠X
⇒∠X=90
o
Now, Sum of interior angles of a triangle is 180
o
⇒90
o
+30
o
+∠Y=180
o
⇒∠Y=180
o
−120
o
=60
o
Step-by-step explanation:
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  (20 points!!!) Please help me answer this question it’s important. I already know the answer I just need the working! The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table below to answer:
Answer:this is tricky make me brainlest
then i shall answer Step-by-step explanation
If f(x)=8-5x, what is f(4p+3)
Answer:
-20p - 7
Step-by-step explanation:
f(x)=8-5x
f(4p+3) = 8 - 5(4p + 3)
= 8 - 20p - 15
= -20p -7