Answer:
b = -9
Step-by-step explanation:
-7b - 4(b + 7) = -3b - 4(b -2)
First we want to distribute the coefficients across the parentheses. To do so, we multiply the coefficient by every term within the parentheses.
-7b - 4(b + 7) = -3b - 4(b - 2)
-4 • b = -4b
-4 • 7 = -28
-4 • b = -4b
-4 • -2 = 8
Simplify the expression with these new values.
-7b - 4b - 28 = -3b - 4b + 8
Now we want to combine the like terms. First combine the variables.
-7b - 4b - 28 = -3b - 4b + 8
-11b - 28 = -7b + 8
Combine further by adding 7b to both sides.
-4b - 28 = 8
Combine the constants by adding 28 to both sides.
-4b = 36
Isolate b by dividing both sides by -4.
b = -9
This is your answer.
Check your answer by plugging b = -9 back into the original equation.
-7b - 4(b + 7) = -3b - 4(b - 2)
-7(-9) - 4(-9 + 7) = -3(-9) - 4((-9) - 2)
63 - 4(-2) = 27 - 4(-11)
63 + 8 = 27 + 44
71 = 71
Your answer is correct.
Hope this helps!
Answer:
-9 is the required answer of b
Step-by-step explanation:
-7b - 4(b + 7) = -3b - 4(b-2)
open bracket
-7b-4b-28=-3b-4b+8
-11b-28=-7b+8
-11b+7b=28+8
-4b=36
b=36/-4=-9
Which expression is equal to 13/14
14−13
13−14
14 ÷ 13
13 ÷ 14
Answer:
Answer: 13÷14 is equal to 13/14
Tina realizes that she needs to figure out the answer to the question, "How many groups of 1/12 are in 2?"
Answer:
24
Step-by-step explanation:
To find how many 1/12 are in 2 divide 2 by 1/12
2/(1/12) = 2 x 12 = 24
Factor Completely
5xz + 2xy - 3yz
Answer:
Your answer is 5xz + 2xy - 3yz
Step-by-step explanation:
The expression is not factorable with rational numbers.
Therefore, You cannot factor the equation.
~Hoped this helped!~
~Brainiliest, please~
10 and
In acute triangle ABC, side b = 12, side c =
mLA = 42. Find side a.
Answer:
20
Step-by-step explanation:
I'm not completely sure, however.
12+10 = 22
42-22 = 20
Solve and write equation in Slope intercept
form (y=mxth) ! Label Slope and y intercept
1) -3x +y = 8
2) -2x + 3y = 1
3)5y +3X = 10
Answer:
Step-by-step explanation:
1. is y= 3 x +8
-3 x + y - 8= 0
y = 3x+ 8
2. is in the pictures
3.
3 X + 5 y - 10 = 0
Real solution:
y = 2 - (3 X)/5
Solution:
y = 2 - (3 X)/5
Integer solution:
X = 5 n, y = 2 - 3 n, n element Z
Solution for the variable y:
y = 1/5 (10 - 3 X)
|x-(-12)| if x>-12
ill give brainlyest if corect
Answer:
x+12
Step-by-step explanation:
:)
Direction: Name at least 2 examples of each of the following terms below from figure 2.
1.angle
2.line segment
3.ray
Answer:
1.acute angle
right angle
2.pencil
the edge of a table
3.a Ray from light
a Ray from sun
Answer:
Angle = LABC and LACD
Line segment = AB and DC
Ray = AB and CD
x
−
3
4
=
8
Which value of
x
satisfies this equation?
Find the value or measure. Round answers to the nearest hundredth, as needed.
Find the area of a pizza with
a 16 in. diameter. If there
are 8 slices, how many sq. in.
is one slice?
Answer:
area of whole pizza = 200.96 in²
area of slice of pizza = 25.12 in²
Step-by-step explanation:
16"/2 = 8" radius
area = πr² = (3.14)(8²) = 200.96 in²
200.96 in²/8 = 25.12 in²
Heidi makes stuffed toys. The initial cost for the raw material is $100 for 30 stuffed toys. Every stuffed toy she makes earns her $10. Which graph represents the profit made by Heidi for x number of stuffed toys sold?
A.
Here’s the answer :)
What is the approximate height of a man who wears a
size 7 shoe? Round to the nearest whole number,
inches
Answer: 64 inches
Step-by-step explanation:
Got it right
Can you please answer without sending links because I can’t open them, thanks!
Answer:
B. C. E.
Explanation:
In answer B, 4b means four of that variable, so you would add them all together, same goes with answer C. In answer E, you would use the "multiply by the reciprocal" rule, which basically means to keep the b as it is, change division to multiplication, and flip [tex]\frac{1}{4}[/tex].
11) Nick & John ordered burritos & tacos for lunch. Nick
ordered 3 burritos & 4 tacos for $11.33. John ordered 9
burritos & 5 tacos for $23.56. Find the cost of one
burrito & one taco.
Answer:
taco: $1.49 each
burrito: $1.79 each
Step-by-step explanation:
Let b = cost of one burrito
t = cost of one taco
(1) 3b + 4t = 11.33 (2) 9b + 5t = 23.56
Multiply (1) by -3 and add to (2) -9b - 12t = 33.99
- 7t = - 10.43
t = 1.49
3b + 4(1.49) = 11.33
3b + 5.96 = 11.33
3b = 5.37
b = 1.79
a student wrote a proof about the product of two rational numbers:
Let x = a/b and let y = c/d, where a and c are defined to be integers, and b and d are nonzero integers.
By substitution, xy = ac/bd.
By applying the closure property of integers and nonzero integers on multiplication, ac is an integer and bd is a nonzero integer.
What conclusion can the student now make about the product xy?
A- the product xy is a nonzero Integer because nonzero Integers are closed on division.
B- the product xy cannot be an integer because bd is a nonzero Integer.
C- the product xy may be elther rational or Irrational because the values of a, b, c, and d are unknown.
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
A rational number is a number that can be expressed as a fraction of integers.
The conclusion the student can make about product xy is that:
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
Given that:
[tex]x = \frac ab[/tex]
[tex]y = \frac cd[/tex]
The product xy is:
[tex]x \times y = \frac ab \times \frac cd[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
From the question, we understand that:
[tex]Integers \to a, c[/tex]
This means that, ac would be an integer (by closure property)
Also:
[tex]Non\ zero \to b,d[/tex]
This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]
The quotient of an integer and a non-zero integer is always be rational.
Hence, option (d) is correct.
Read more about rational numbers at:
https://brainly.com/question/15815501
For brainiest:):):):):):):):)
Answer:
153.86 and 75.36
Step-by-step explanation:
The first circle (orange one) has a circumference of 153.86 while the other circle has a circumference of 75.36.
brianlist anyone?!?!?!
Answer:
its the third one
Step-by-step explanation:
Answer:
C. Y-6= 3/4 (x+4)
Step-by-step explanation:
A student puts $500 into an account that gains 0.5% interest each year. If the function A (t) = 500(1.005) represents the total amount of
money, in dollars, in the account after t years, what is the value of A (10), to the nearest dollar
Answer:
that was my question
Step-by-step explanation:
jzjzjjzjzjxjxjxjxk k
I need help finding the area of a figure, it has 15ft of heigh on the left side, 20ft wide, and it's 20ft tall on the right side.
Answer:
Step-by-step explanation:
area=(20 ×20)÷2=200 sq . units
Marissa can run 1 mile in 10 minutes.
How many miles can she run in a half
hour?
(If there is extra information, identify it. If
there is not enough information, tell what information is needed.
Answer:
3 miles
Step-by-step explanation:
if she can run at a constant speed for 30 minutes, then it is 3 miles. But, if there is some reason that she cannot run at the same rate as she did for one mile, the answer is unknown.
find the area calculate the area of the composite figure
Answer:
84 Sq in
Step-by-step explanation:
area of the composite figure = Area of square + Area of triangle
[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]
Pythagoras Theorem
A. x=5
B. x=2square root of 1
C. x=square root of 34
D. x=2square root of 61
9514 1404 393
Answer:
B. x = 2√11
Step-by-step explanation:
The square of the length of the diagonal is ...
d² = 6² + 8² = 36 +64 = 100
Then the length of x is found from ...
d² +x² = 12²
x² = 144 -100 = 44 . . . . . subtract d²
x = √44 . . . . . . take the square root
x = 2√11
Please help me with this!!
LOOK AT THE PIC BELOW
Answer:
TO FIND THE AREA OF A RECTANGLE, THAT IS L×B OR L× W (WIDTH/BREADTH) IS THE SAME THING. KEEP THAT IN MIND. SO : 90FT × 150FT. = 13500FTSQ. BUT WE ARENT FINISHED . YOU NEED TO FIND THE AREA OF BOTH SEMICIRCLES (SEMI MEANS HALF) , SO HENCE, THE AREA OF BOTH HALF SEMICIRCLES. THAT IS : PIRSQUARED. PI×R×R. THE RADIUS IS UNKNOWN. SO WE WILL USE THE DIAMETER TO FIND THE RADIUS SINCE THE DIAMETER IS TWICE THE RADIUS. THAT IS : 90÷2 , THAT IS = 45.SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :
PIRSQUARED = PI × R×R 3.14 × 45×45 OR 45SQUARED.THAT IS : 6,358.5 FT SQUARED. NOW 6,358.5FT SQ IS ONLY THE AREA OF ONE SEMICIRCLE. SO NOW WE KNOW THAT BOTH SEMICIRCLES HAVE A AREA OF 6,358.5 FT SQ.WE WILL ADD : 6,358.5 + 6,358.5 = 12,717.YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.
= 26,217FT SQ.
SINCE THEY ARE PROBABLY ONLY ASKING FOR THE AREA OF THE RECTANGLE, THEN THE ANSWER WOULD BE 13500FT SQ INSTEAD OF 26,217. NOT SUREAnswer:
C, 19858.5 [tex]ft^2[/tex]
Step-by-step explanation:
Imagine that these are two semi-circles on either side of a rectangle
the diameter of the semi circle is 90, and the radius is half of the diameter.
this means the radius is 45 (for both circles)
so now lets apply that to the area of a full circle, [tex]\pi r^2[/tex]
replace r with the radius [tex]\pi 45^2[/tex]
using 3.14 as pi, your answer should be 6358.5
but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25
since there's two semi circles, you would multiply this by two and now you're back to 6358.5
if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle
now calculate the area of the rectangle, which is length times width
150 * 90 = 13500
so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)
If I cut a cake into equal parts and one slice = 3.333, where would I find the 0.001? (total of slices = 10)
Step-by-step explanation:
That is so because 1/3 is *not exactly equal to* 0.333333
0.333333 is an approximation of 1/3 which is correct to 6 decimal places.
So 0.333333 x 3 = 0.999999 which is approximately equal to 1.
If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.
1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.
Its usually represented by a bar or dot on top of the recurring part
Ex. 1/3 = 0.3bar
(Sorry I can't get the bar on 3 by typing from keyboard)
But let's just say 0.3 bar is 0.333333…and so on to infinity.
When you multiply 0.3bar x 3 you get 0.9bar
= 0.999999….and so on to infinity.
These decimal point figures just a very great approximations of the fraction 1/3.
Hope this helps. Feel free to reply if you still have doubts.
I need this to get out of my di. Please help! Thanks
Answer:
Use PythagoreanFind x
x² = 14² + 7²x² = 245x = √245x = 15.65Find y
y² = 5² + 5²y² = 50y = √50y = 7.07Answer:
in first figure
by using Pythagoras law
h²=p²+b²
y²=5²+5²
y=√50=5√2
y=5√2
Step-by-step explanation:
for second figure
by using Pythagoras law
h²=p²+b²
x²=14²+7²
x=√245=7√5
x=7√5
The function y = f(x) is graphed below. Plot a line segment connecting the points
on f where x = -5 and x = 1. Use the line segment to determine the average rate
of change of the function f(x) on the interval –5 < x < 1?
Answer:
no not really
Step-by-step explanation:
the values dont match up
.
Patricia’s dog, Max, weighs 6.75 kilograms. There are approximately 0.45 kilograms in 1 pound. Which measurement is closest to the number of pounds Max weighs?
hurry ....
Answer: 14.88 is the answer
Step-by-step explanation:
There are 640 calories in 4 scoops of ice cream. At this rate, how many calories would there be in 9 scoops of ice cream?
Answer:
1,440 calories
Step-by-step explanation:
Divide 640 by 4 to get how many calories there are per scoop.
640 calories ÷ 4 scoops = 160 calories per scoop
Then, we can multiple 160 by 9 to get the calories in 9 scoops.
160 calories per scoop × 9 scoops = 1,440 calories per 9 scoops
Answer:
1,440
Step-by-step explanation:
Can someone help me with this please
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: