Answer:
[tex] {x}^{2} + 9x - 16[/tex]Step-by-step explanation:
[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:
[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]
Collect like terms
[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]
[tex] {x}^{2} + 9x - 7 - 9[/tex]
Calculate
[tex] {x}^{2} + 9x - 16[/tex]
Hope this helps...
Good luck on your assignment...
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171
Step-by-step explanation:
If five test scores have a mean of 90, then the total 5x90=450. We already have the middle score (91) and the two top scores (94 and 94). So the equation is 450-91-94-94=171
Simplify to create an equivalent expression. \qquad{-4(z+3)-4(5-4z)}−4(z+3)−4(5−4z)minus, 4, left parenthesis, z, plus, 3, right parenthesis, minus, 4, left parenthesis, 5, minus, 4, z, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A -24z-32−24z−32minus, 24, z, minus, 32 (Choice B) B 12z+812z+812, z, plus, 8 (Choice C) C 12z-3212z−3212, z, minus, 32 (Choice D) D 12z+3212z+32
Answer:
D) 12z -32
Step-by-step explanation:
Simplify to create an equivalent expression.
-4(z+3)-4(5-4z)}−4(z+3)−4(5−4z)
Choose 1 answer:
A) A -24z-32
B) B 12z+8
C) C 12z-32
D) D 12z+32
-4(z+3)-4(5-4z)
= -4z -12 -20 + 16z
= 12z -32 (D)
The pyramid has a height of 10 in and a square base with side lengths of 16 in. What is the slant height?
Answer:
26 is what I'm guessing
Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Hi there, again! Hopefully this helps, again!
------------------------------------------------------------------------------------------------------------
Since she has 3 coats, 2 scarfs, and 1 glove:
She has 6 ways to choose a coat, a scarf, and a glove(s).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My 6 combinations:
1.) Red coat, black scarf, white glove(s).
2.) White coat, grey scarf, white glove(s).
3.) Pink coat, black scarf, white glove(s).
4.) Red coat, grey scarf, white glove(s).
5.) White coat, black scarf, white glove(s).
6.) Pink coat, grey scarf, white glove(s).
Compare 6 ⋅ 108 to 3 ⋅ 106. 6 ⋅ 108 is 2,000 times larger than 3 ⋅ 106. 6 ⋅ 108 is 200 times larger than 3 ⋅ 106. 6 ⋅ 108 is 20 times larger than 3 ⋅ 106. 6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
Answer:
[tex]\boxed{Option \ 2}[/tex]
Step-by-step explanation:
[tex]6*10^8\\=> 600000000[/tex]
[tex]3*10^6\\=> 3000000[/tex]
Dividing both
=> 600000000 ÷ 3000000
=> 200
So,
[tex]6*10^8[/tex] is 200 times larger than [tex]3* 10^6[/tex]
Answer:
[tex]\boxed{\mathrm{Option \: 2}}[/tex]
Step-by-step explanation:
[tex]6 \times 10^8 = 600000000[/tex]
[tex]3 \times 10^6 =3000000[/tex]
[tex]\frac{600000000}{3000000} =200[/tex]
6 × 10⁸ is 200 times larger than 3 × 10⁶.
Which of the following best describes the expression 5(x + 2)? pls help me :,D
Answer:
5 is a constant. (it has no variables)
x + 2 is not a constant. It does, however, have two terms, x and 2.
(terms are seperated by addition/subtraction)
This rules out a and b.
As for c... 5(x+2) implies multiplication, which would be a product, not a sum.
The product of a constant factor 5 and a 2-term factor x+2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
5(x + 2)
The constant factor is 5. x + 2 is not constant.
The brackets represent multiplication.
In the school election, votes were cast for Sam, Mary, and Bill in the ratio 4:3:2. If a total of 2178 votes were cast, how many votes did Mary receive?
Answer:
Step-by-step explanation:
Mary received 726 votes.
Hillary has to drive 225 miles in four and a half hours. What should her average speed be in order to arrive on time? 56 mph 45 mph 50 mph 48 mph
Answer:
50 mph
Step-by-step explanation:
225 in 4.5 Hours
1 Hour - 50 miles
(225 ÷ 4.5 = 50)
Hope this helps.
Answer:
50mph
Step-by-step explanation:
To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.
Select all the examples of categorical data.
colors
number of siblings
favorite pet
profits
genre of music
Answer:
The answer is colors, genre of music, favorite pet
Step-by-step explanation:
Solve both of the fields. First correct answer gets brainliest and 5 stars with 1 thanks
Answer:
Step-by-step explanation:
f(1)=45*4/5
=9*4
=36
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards? Four-thirds StartFraction 7 over 9 EndFraction StartFraction 9 over 7 EndFraction Three-fourths
Answer:
9 over 7 end fraction three-fourths
Step-by-step explanation:
The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long.
Now,
Since, Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long.
So, The length of the 7 smaller boards = 9 1/3 ÷ 7
= 28/3 ÷ 7
= 28/3 × 1/7
= 4/3 feet
Thus, The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
Learn more about the divide visit:
https://brainly.com/question/25018554
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the letter v has an unknown value. If you multiply v by ten, the product is two . What value does v have?
Answer:
0.2
Step-by-step explanation:
10v=2
v=2/10
v=0.2
D
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box, Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan Click the trashcan to clear all your answers.
Solve by factoring
x2 + 6.9. Hint. This is a double root.
3
9
12131415161718
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Answer:
–3 and –3
Step-by-step explanation:
x² + 6x = – 9
Rearrange
x² + 6x + 9 = 0
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, we shall find two factors of 9x² such that when we add them together, the result will be the same as the 2nd term i.e 6x in the expression above.
The factors are 3x and 3x.
Next, we shall replace 6x with 3x and 3x in the equation above as shown below:
x² + 6x + 9 = 0
x² + 3x + 3x + 9 =0
Factorise
x(x + 3) + 3(x + 3) = 0
(x + 3)(x +3) = 0
x + 3 = 0 or x + 3 =
x = – 3 or x = – 3
Therefore, the solutions are –3 and –3
Given the equation of the circle below, find the center coordinate of the circle,
and the radius of the circle.
x² + y2 + 4y = 32
Center : (0, 2)
Center : (0, 2)
Center : (0, -2)
Center : (0, -2)
R = 26
R = 6
R = 36
R = 6
Answer:
Center : (0,-2), R=6
Step-by-step explanation:
x² + y² + 4 y = 32
x² + y² +4 y+4=36
x² + (y+2)²=36
Center : (0,-2), R=6
Carlos creates a basic budget using the equation Money Left Over = a - b - C, where
Income = a, Needs b, and Wants = c. His monthly income is $3210, his mortgage
payment is $1350, and he spends an additional $950 each month on groceries, utilities, and
insurance. Finally, he buys four concert tickets for $300.
Which amount represents his needs?
Answer:
$2300
Step-by-step explanation:
Carlos's needs will include ...
mortgage: $1350groceries, utilities, insurance: $950These total $2300.
Carlos's needs amount to $2300 per month.
Answer:
$950
This is because he needs groceries, utilities, and insurance.
A spinner has 8 options and a bag
has 9 numbered marbles. You spin
the spinner once and randomly pull
1 marble. Whal is the PROBABILITY
of spinning the number 4 and
pulling an even number?
Answer:
1/18
Step-by-step explanation:
Spinner: 1 out of 8
Even number: 4 out of 9
1/8x4/9=4/72 = 2/36 = 1/18
3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. a total of 275 men and women live in the building. How man people live in the apartment building altogether?
Answer:
Step-by-step explanation:
people in building ---- x
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x
y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280
So we have 280 people in the building.
check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women
so we have 120 men, 100 women and 60 children!
Which function is graphed?
Answer:
the answer is the last one
Step-by-step explanation:
it is in form of f(x) = mx + b and mx is the slope and b is the y intercept
Answer:
f(x)= 2x - 6
Step-by-step explanation:
In how many different ways can 5 people be seated at a round table?
Answer 120
Step-by-step explanation:
PLEASE HELP ME I DONT UNDERSTAND THIS QUESTION
I attached a picture to this
BEST ANSWER GETS BRAINLIEST, PLZ ANSWER!!!!
Answer:
they both = 100
Step-by-step explanation:
What is the solution to the system of equations below? y = negative one-third x + 6 and x = –6
Answer:2
26x + y = 23 → y = 23 – 6x.
7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2
Find 4 1/5 · 7 2/3 . a. 32 1/5 b. 32 3/5 c. 28 2/15 d. 28 3/10
Answer:
Hey there!
4 1/5 · 7 2/3= 32 1/5
Hope this helps :)
Answer:
32 1/5
Step-by-step explanation:
4 1/5 * 7 2/3
Change to improper fractions
( 5*4+1)/5 * ( 3*7+2)/3
21/5 * 23/3
Rewriting
21/3 * 23/5
7 * 23/5
161/5
Change back to a mixed number
5 goes into 161 32 times with 1 left over
32 1/5
The triangles in the figure are similar: ΔABC ∼ ΔDEF. Which of the following statements must be true? options: A) AB/DE=BC/EF=CA/FD B) None of these statements are true. C) AB=BC D) AB/DE=2
Answer:
Answer A
Step-by-step explanation:
We see that ABC is similar to DEF. Pay attention to the order of these letters. The order that they read (left-to-right) is the order that they are similar. For example, AB is similar to DE. Despite being different triangles, they are both the first two letters in the triangle. So, knowing this, we can conclude that answer choice A is correct.
Answer:
The answer is A
Step-by-step explanation:
this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.
Answer:
[tex]\frac{n}{4}-1[/tex]
Step-by-step explanation:
If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.
Now, Harris is one of those friends so he receives [tex]\frac{n}{4}[/tex] slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].
Hope this helped!
Answer:
(n/4 - 1) slices
Step-by-step explanation:
The pizza would be divided into n slices, which in turn would be split among 4 people:
n slices
----------------- = (n/4) slices per person
4 people
Harris must have eaten (n/4 - 1) slices.
Currently stuck on this problem, Please help me out
Answer:
4.24 blocks
hope this helps :)
The correct answer should theoretically be 4.24
Because the triangle has a vertical reflection across the center (AD)
Please help asap! i will marl brainliest for correct answers!
Answer:
The histogram would be "flat" or "uniform."
Step-by-step explanation:
For the drawings to be "fair," all numbers must have an equal probability of being selected.
Answer:
The histogram would be uniform
Step-by-step explanation:
for the histogram to be uniform,all the numbers should have an equal probability of being selected.thus, all the numbers should have the same opportunity of being selected for the winning numbers
how would you verify the trigonometric identity 2x = 2sinx cosx
Step-by-step explanation:
Hi, there!!
I hope you mean sin2x=2sinx . cosx
so, let's begin in a simple way; by adding, alright:
sin2x= sin(x+x) (as 2x=x+x).
now, let's use compound formula for sin,
so, we get:
sin (x+x)= sinx.cosx + cosx. sinx (as sin(A+B)=sin A. cosB + cosA . sinB)
or, sin (x+x)=2sinx.cosx (adding both).
Therefore, sin 2x = 2sinx. cosx.
Hope it helps..
Answer:
Step-by-step explanation:
2x = 2sinx cosx is not an identity. An identity is "always true," whereas a conditional equation is true only for specific value(s) of the unknown. Double check to ensure that you have copied down this problem correctly.
50 points Simplify the expression. sin^2 theta/csctheta tan^2theta a. sin^2 theta b.sin cos^2 theta c.sec^2 theta d. csc theta
Answer:
B. sin(theta) cos^2(theta)
Step-by-step explanation:
sin^2(theta) / csctheta tan^2(theta)
To solve, we convert to sine and cosine and then simplify.
means by the priority of operators (* and / from left to right)
(sin^2(theta) / csctheta) * tan^2(theta)
= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2
= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)
= sin^5(theta) / cos^2(theta)
which obviously does not correspond to any of the answers.
IF the expression were missing parentheses in the denominator, then it becomes:
sin^2(theta) / (csctheta tan^2(theta))
= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))
= sin^2(theta) / (sin(theta)/cos^2(theta)
= sin(theta) cos^2(theta)
which corresponds to answer B.
Answer:
[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]
Step-by-step explanation:
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]
Simplify the expression.
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]
[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]
help me meeeeeeeeeeee
Answer:
15 pupcakes
Step-by-step explanation:
Purple is 1 out of 4 sections
1/4 times the number of total pupcakes
1/4 * 60
15