Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
Which one?
A. B. C. or
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
The school is 1.5 miles away from Jonathan's home
Step-by-step explanation:
Let D be the distance remaining after 1 mile
We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.
So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance
Speed of Jonathan bike = 15 mph
Speed of Mother's bike = 25 mph
So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]
25D=15D+15
10D=15
D=1.5
So, the school is 1.5 miles away from Jonathan's home
Help! look at the image of the table of values below. Over which interval of x is the average rate of change the largest?
Answer:
A
Step-by-step explanation:
There is no way to tell a pattern.
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
Two-Step Equations 2/5x−3=−17
Answer:
x =-35
Step-by-step explanation:
2/5x−3=−17
Add 3 to each side
2/5x−3+3=−17+3
2/5x = -14
Multiply each side by 5/2
5/2 * 2/5x = -14 * 5/2
x = -35
Answer:
x = -35
Step-by-step explanation:
Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35I hope this helps!
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
help...................
Answer:
it is the 1.2 answer
Step-by-step explanation:
sid has £5 to buy apples and bananas
Answer:
So he could use 3 pounds for apples, and two for bananas.
Step-by-step explanation:
Students was 1: 8. However, this year the ratio of the number of middle school students to the number of high school students changed to 2: 7. If there are 18 middle school students in the band this year, how many fewer high school students are in the band this year compared to last year? Expla
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far? The percent increase is approximately 31%. The percent increase is approximately 45%. The percent increase is approximately 68%. The percent increase is approximately 82%.
Answer:
the answer is b
Step-by-step explanation:
Answer:
The percent increase is approximately 45%.
Step-by-step explanation:
hope this helped!
EVALUATE
9(6−2.4)−10
Answer:
The answer is 22.4.
Answer:
22.4
Step-by-step explanation:
you multiply 6 and -2.4 by 9
that gives you 54 and -21.6
then you add -10 to -21.6 giving you -31.6
lastly subtract -31.6 out of 54
which gives you 22.4
Solve the equation s = a + lw for the variable w
Answer:
w= [tex]\frac{-a+s}{l}[/tex]Step-by-step explanation:
Let's solve for w.
s=a+lw
Step 1: Flip the equation.
lw+a=s
Step 2: Add -a to both sides.
lw+a+−a=s+−a
lw=−a+s
Step 3: Divide both sides by l
[tex]\frac{lw}{l} =\frac{-a+s}{l}[/tex]
In the first week of July, a record 1020 people went to the local swimming pool. In the second week,100 fewer people went to the pool than in the first week. In the third week,130 more people went to the pool than in the second week. In the fourth week,132 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer: 10%
Step-by-step explanation:
The following information can be gotten from the question regarding the number of people that went to the swimming pool are:
First week of July = 1020
Second week = 1020 - 100 = 920
Third week = 920 + 130 = 1050
Fourth week = 1050 - 132 = 918
The percentage decrease over the four weeks will be:
= (1020 - 918)/1020 × 100
= 102/1020 × 100
= 10%
Solve −3.5 = x/4 for x using the multiplication property of equality.
The operation in the problem is
-Addition
-Subtraction
-Multiplication
-Divison
The inverse operation is
-Addition
-Subtraction
-Multiplication
-Divison
= x
0.5
-7.5
-12
-14
Answer:
Step-by-step explanation:
The operation in the problem is division
The inverse is multiplication
(-14)
Answer: division inverse= multiplication answer=-14
Step-by-step explanation:
this is the picture that goes with my question.
Answer:
first u should make your equation: y= -1/5 (x-5) - 3
y= -1/5x +1 -3
y= -1/5 x -2
then u should setting some number like 1 ,2 ..... instead of *x* and when u done this u should dissolve it (now your *y* is came out too) so you have your x,y now
According to the points you get, you put it on the chart and connect it
if you do not understand something, tell me to draw on paper so you can understand better
Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea. How many cups can holly fill?
Answer:
2 Cups
Step-by-step explanation:
Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.
The number of cups she can fill will be 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.
The number of cups will be calculated as follows:-
Number = ( 3 / 5 ) ÷ ( 3 / 10 )
Number = ( 3 / 5 ) ÷ ( 10 / 3 )
Number = 10 / 5 ) = 2
Therefore, the number of cups she can fill will be 2.
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Amanda is making white oatmeal cookies with raisins and pecans for her club. The recipe makes seventeen of the big, chewy kind of oatmeal cookies with lots of raisins and nuts. It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies! There are thirty-four members in Amanda's club. If she makes exactly thirty-four cookies, how many cups of nuts will she need?
Answer:
half a cup
Step-by-step explanation:
if one fourth is needed for 17 and thirty four is the double of 17, then
1/4 x 2 = 2/4
2/4 simplified is 1/2->half
A rhombus has 4 equal sides.
What is the order of rotational symmetry for a rhombus?
1
2
3
4
Answer:
B. 2
Step-by-step explanation:
Got Correct On MyPath.
The order of rotational symmetry for a rhombus is 2.
What is Polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end
A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral.
In a rhombus, opposite sides are parallel and the opposite angles are equal.
All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles
Rotational Symmetry of a Rhombus has four equal sides but of varying angles.
A rhombus has two lines of symmetry (vertical and horizontal), an order of two, and the angle of rotation of 180 degrees
Hence, the order of rotational symmetry for a rhombus is 2.
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Can you guys help me factor this or come close to it? Would greatly appreciate it. x²+6²+10x +5
Answer:
this expression is not factorable luv :)
Step-by-step explanation:
Solve for f 7a - 3d + 6f = 5
Answer:
f = 5/6 - 7a/6 + d/2
Step-by-step explanation:
In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.
Answer:volts =60v
Step-by-step explanation:
STEP 1
The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as
V∝ C
introducing the proportion of constant , we have
V=KC
Step 2
When current =12 amps, and volts = 480, we have
V=kC
480=K X 12
Constant of proportionality ,K= V/C=480/12= 40
Therefore, when current = 1.5 amp, volts=?
V= KC
V= 40 X 1.5
V= 60 volts
Someone plz help me thank you.
Answer:
there are 438 blue marbles and 162 red marbles
Step-by-step explanation:
If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply 27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.
hope this helps
23 teachers at a school take the car to work. Some of the teachers
travel in the same car. Fill in the frequency missing from the table.
Number of Teachers in the car Number of cars (Frequency)
1 x
2 5
3 2
Find the value of X. Then find the angle measures of the polygon.
Answer:
x=75
The measures of the polygon are 75, 105, 70 and 110.
Step-by-step explanation:
Since the sum of the angles is 360, we can set up an equation, where all the angles add up to 360:
(x-5)+(x+35)+(1.4x)+(x)=360
x-5+x+35+1.4x+x=360
4.4x+30=360
4.4x=330
x=75
Now, to find the angles, all you have to do is plug in 75 for x in every angle:
First angle: 75
Second angle: 1.4*75=105
Third angle: 75-5=70
Fourth angle: 75+35=110
Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?
Answer:
(3,2)
Step-by-step explanation:
I hope this helps : )
The area of a Rhombus is 60cm² and one of its diagonals is 15cm, then the length of other diagonal is
The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:
60cm2=12(d1⋅d2)
where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.
The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by
(152 ) 2 + (82)2 = s 2
or s = 172cm.
The perimeter is therefore 4 X 172 = 34 cm.
A pattern has 9 triangles and 30 squares on a piece of paper. What is
the ratio of triangles to squares?
Answer:
9:30
Step-by-step explanation:
IM BUILT DIFFERENT
The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality,
x
y
start fraction, y, divided by, x, end fraction ?
0.50
Step-by-step explanation:
Its right <3
In the graph the constant of proportionality is 0.5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
From the given graph let us take one point (1, 0.5)
k=0.5/1
Constant of proportionality is 0.5
Hence, in the graph the constant of proportionality is 0.5
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complete the pattern. 4,9,14,19,__,__,__,__
Answer:
24,29,34,39
Step-by-step explanation:
4,9,14,19,24,29,34,39