Answer:
[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]
The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The area of a rectangle is given by the formula:
A = l × w, where l is the length and w is the width.
In this case,
The length is 2x + 7 and the width is 3x - 4.
Therefore, the area of the rectangle is:
[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]
Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
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Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
Marking brainliest...
Answer:
C. 12
Step-by-step explanation:
Find the percentage of him drawing a blue marble.
4/10 = 0.4
He has a 40% chance of picking blue.
Find 40% of 30.
12
He would draw a blue marble around 12 times.
Answer:
C
Explanation:
So in the bag, there are 10 marbles, and 4 of them are blue, so if he drew from the bag 10 times, we can assume the fraction:
4/10
Next, we see that the denominator, or the number times Cade is drawing from the bag is 30, which makes us multiply most sides of the fraction by 3:
12/30
So I would say 12/30, but again, he wouldn't draw a blue exactly 4 times, and it may be more or less, so either 8/12....
Hope this helps!
are these two answers correct?
(angle sums triangles)
Answer:
the answer for the first is 22°
the answer for the second is 83°
Answer:
x = 22°x = 83°Step-by-step explanation:
1.
The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.
2.
For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.
Then, we are able to find x by angle sum of triangles.
68°+29°+x = 180°.
Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic
True or False? The lateral surface area is the same as the total surface area.
Answer:
Lateral surface area means curved surface area
Total surface area means curved surface area + surface area of the bottom and top.
So i think its false
Step-by-step explanation:
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answer: 17 pounds
Step-by-step explanation:
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
a.
120
c.
24
b.
4
d.
16
Answer:
The answer is 24 in my opinion
Step-by-step explanation:
1)1 2 3 4
2)1 2 4 3
3)1 3 2 4
4)1 3 4 2
5)1 4 3 2
6)1 4 2 3
Just multiply the 4 with 6 then you get the answer. Hope this is correct.Answer:
C-24
Step-by-step explanation:
Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16
Answer:
10
Step-by-step explanation:
arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten
if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest
Answer:
Hello There!!
Step-by-step explanation:
Median is ordering the numbers from smallest to biggest.
Ordered: 4,6,6,9,11,19,23,34
And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.
hope this helps,have a great day!!
~Pinky~
A.)17.5
B.)20
C.)18
D.)17
Answer: A
Step-by-step explanation: 35 / 2 = 17.5
Answer:
C. is correct
Step-by-step explanation:
i hope this helps :) brainliest please?
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
I need help with this problem
"Solve for x
4x ≤ 12"
Please someone help me
x ≤ 3
Step-by-step explanation:
4x ≤ 12
divide each side by 4
x ≤ 3
Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.
Answer:
[tex]first \: answer \: is \: true[/tex]
Given the following probabilities, determine whether
the events A and B are independent or dependent.
P(a) x p(b) = 2/5 x 1/4 = 2/20 = 1/10
1/10 does not equal 1/9 so the event is dependent
The answer is B ( the second choice)
Emma reads at a constant rate. In 6 hours, Emma read a 130-page book and a 90-page book. If h represents the number of hours it takes Emma to read 400 pages, which proportion can be used to solve for h?
A:130/90=6/h C:400/6=200/h
B:130/6=400/h D:220/6=400/h
Answer:
D
Step-by-step explanation:
i'm doing the activity rn and got it right
Answer:
the answer is d
Step-by-step explanation:
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
F/R/E/E P/O/I/N/T/S
Answer:
tysm!!
Step-by-step explanation:
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day[/tex] [tex]:)[/tex]
AAAAAAA THANK YOU :D
Subtract 6 2/5 - 1 1/4. Simplify the answer and write as a mixed number.
Answer:5 3/20
Step-by-step explanation:
6 8/20 0- 1 5/20= 5 3/20
Giving brainlist to whoever answers
Answer: should be x> -18
Step-by-step explanation: hope this helps
Answer:
x > -18
Step-by-step explanation:
8 > 2 - x/3
Multiply the equation by 3.
24 > 6 - x
Flip around to make working with it easier.
6 - x < 24
Subtract 6 from both sides.
-x < 18
Divide by -1. When dividing by a negative in an inequality, flip the sign.
x > -18.
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
the circumference of a circle is 4π ft. find its diameter in feet
Answer:
4 is the diameter
Step-by-step explanation:
Given:
C = 4π
Formula for circumference:
C = 2πr
Work:
C = 2πr
4π = 2πr
r = (4π)/(2π)
r = 2
Diameter:
d = 2r
d = 2(2)
d = 4
A recipe calls for 1/3 cup of sugar for every 1/2 teaspoon of vanilla. What is the unit rate per teaspoon? Remember to divide to find unit rate. Unit rate is the value of one item per something.
Answer:
0.6 I think ........................
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
Question 16
Make x the subject of the formula
y = ax2
PLZ HELP MEEE
Answer:
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
Step-by-step explanation:
Given
y = ax² ( divide both sides by a to isolate x² )
[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
has a y-intercept of (0,2) and passes through the point (3,128)
Answer:
y = 42x + 2
Step-by-step explanation:
The equation of a line is expressed as y = mx+b
Slope = y2-y1/x2-x1
Slope = 128 - 2/3-0
Slope m = 126/3
Slope = 42
Since the y intercept is (0, 2), hence b = 2
Get the equation;
Recall that y = mx+b
y = 42x + 2
This gives the required equation
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur
Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
1 point
What is the value of x? Round to the nearest tenths place
15 ft
13 ft
х
Answer:
7.5
Step-by-step explanation:
The values 15ft, 13ft and x are the sides of a right triangle;
According to pythagoras theorem;
15² = 13²+x²
x² = 15² - 13²
x² = 225 -169
x² = 56
x = √56
x = 7.48
Hence the value of x to the nearest tenth is 7.5 to the nearest tenth
please help!!!I don’t know how to solve
Step-by-step explanation:
formula for the first question:
a^2+b^2=c^2
8^2+6^2= 100
√100 = 10cm