Answer:
Sarah
Step-by-step explanation:
6.75/3 is the total for one pound . This = 2,25 while calros' 4.52/2 = 2.26. sarah paid one cent less, getting a better deal than carlos
In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X = (3x-17)^{\circ}m∠X=(3x−17) ∘ . Find \text{m}\angle X.M∠X.
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
A Rectangle has a length that is one foot longer than it’s width. If the area of the rectangle is 210ft^2 what are the dimensions?
Answer:
Required Answer:-Let
[tex]\qquad\quad {:}\longmapsto\sf The\: breadth =x\: ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf The\:length=x+1ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Area=210ft^2 [/tex]
As we know that in a rectangle[tex]{\boxed {\sf Area=length\times Breadth}}[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf x (x+1)=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x-210=0 [/tex]
Factorise[tex]\qquad\quad {:}\longmapsto\sf x^2+15x-14x-210=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x (x+15)-14 (x+15)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf (x+15)(x-14)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x+15=0\:or\:x-14=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x=-15\:or\:x=14 [/tex]
In menstruation there is no negative value .So (x=-15) can't be possible.Hence correct value
[tex]\qquad\quad {:}\longmapsto\sf x=14[/tex]
__________________________[tex]\qquad\quad {:}\longmapsto\sf Breadth =x=14ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Length=x+1=14+1=15ft [/tex]
A fruit punch recipe uses 3/4 cup of carbonated water for every 5 cups of fruit juice. Andy has only 4 cups of fruit juice. To make the same fruit punch, how much carbonated water should Andy use?
A) 3/5 cup
B) 3/10 cup
C)2/3 cup
D) 2/5 cup
Answer:
3/5 cup
Step-by-step explanation:
I start by changing the initial fraction of 3/4 into its decimal form of .75 so that it's easier to divide. I then divide it by 5 to find how much carbonated water you should use for a single cup of juice, which is .15 cups. Then, I multiply .15 times 4, which comes out to be .6, or 3/5.
Answer:
3/4 cups of carbonated water is needed by Andy to prepare 5 cups of fruit juice that means that he uses
(3/4)/5 = 3/20 cups of carbon. water for one cup of fruit juice for 4 cups he has to use (3/20)4=12/20
or 3/5 cups of carbonated water or in decimal form 0.6 cups
Step-by-step explanation:
There u go
Expand and simplify (3x-2)^2
Answer:
The answer is: 9x^2 - 12x + 4
Step-by-step explanation:
Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2
(3x)^2 - 2 * 3x * 2 + 2^2
Simplify:
9x^2 - 12x + 4
The expanded and simplified form of (3x-2)^2 is 9x^2 - 12x + 4.
To expand and simplify (3x-2)^2, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last and is a systematic way to multiply two binomials.
First, let's square the first term:
(3x)² = 9x²
Next, we multiply the outer terms:
(3x)(-2) = -6x
Then, we multiply the inner terms:
(-2)(3x) = -6x
Finally, we square the last term:
(-2)² = 4
Now, let's combine all the terms:
9x² - 6x - 6x + 4
Combining like terms, we have:
9x² - 12x + 4
So, the expanded and simplified form of (3x-2)² is 9x² - 12x + 4.
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Change to an algebraic expression
Half the sum of p and 9
Step-by-step explanation:
1/2 × (p+9) is the algebraic expression.
PLEASE PLEASE HELP. I’ll give branliest....I’m begging.
Answer:
Step-by-step explanation:
Things to remember,
1). Any point on the graph of a function is represented by [x, f(x)].
2). x-coordinates are the input values on x-axis and f(x) is the output value of the function on y-axis.
A). For x = 2, value of f(2) will be,
f(2) = 4
B). For x = 5, value of f(5) will be,
f(5) = 7
C). Since, 4 < 7
Therefore, f(2) is less than f(5).
Multiply 2 1/2 x -4 3/5
Plz help
Answer:
Step-by-step explanation:
2 1/2* -4 3/5=
5/2*-23/5
-23/2 or -11 1/2
HELP WILL GIVE BRAINLIEST!!
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
not a 100% sure just trying to help
Unit rate for 321.5 miles in 5 hours
Answer:
64.3 Per hour
Step-by-step explanation:
If you divide 321.5 miles by 5 you get 64.3 per hour and to check you could times 64.3 by 5 to get 321.5
321.5 / 5 = 64.3
64.3 x 5 = 321.5
In writing a word phrase from an equation, there is only one correct way to do it.
true or false?
Answer:
False
Step-by-step explanation:
Ranger simplified this expression. 3(2.7x + 5) – 2(4x – 1.6) What was Ranger's simplified expression? 0.1x + 18.2 –16.1x + 11.8 16x – 18.2 –0.1x + 11.8
Answer:
Ranger's simplified expression was 0.1x + 18.2
The correct answer is the first option.
Step-by-step explanation:
To simplify the given expression
3(2.7x + 5) – 2(4x – 1.6)
First, we will open the brackets by distributing 3 and 2, that is
(3×2.7x) + (3×5) -(2×4x) -(2×-1.6)
Now, we will get
8.1x + 15 - 8x +3.2
Now, collect like terms,
8.1x - 8x + 15 + 3.2
Then, we will get
0.1x + 18.2.
Hence, Ranger's simplified expression was 0.1x + 18.2.
The correct answer is the first option.
Answer:
It's A
Step-by-step explanation:
What is 60% of 90? *
Answer:
54
Step-by-step explanation:
You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.
Item 10 The endpoints of the directed line segment AB are A(−1, 2) and B(7, 8). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 1 to 3.
Answer:
The coordinates of point P along AB is (1,6.5)
Step-by-step explanation:
We shall use the internal division formula to split AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/m + n , (ny2 + my1)/m + n
m = 1 , n = 3
(x1,y1)= (-1,2)
(x2,y2) = (7,8)
(x,y) = (3(-1) + 1(7)/1+3 , (3(8) + 1(2)/1+3
(x,y) = (-3 + 7)/4, (24 + 2)/4
(x,y) = 4/4 , 26/4
(x,y) = (1, 6.5)
What is the slope of the line represented by the equation 3x+2y=6?
SLOPE: negative slope
ANSWER: x = -2/3y + 2
hope this helped
whats 3 2/5 divided by 3 1/6?
Answer:
3 2/5 divided by 3 1/6 = 106/95 = 1 11/95
Step-by-step explanation:
3 2/5 divided by 3 1/6 =
17/5 divided by 19/6 =
17/5 x 6/19 =
106/95 =
1 11/95
The sum of two numbers is 72, and their difference is 40. Find the numbers.
Answer:
the answers are 51 and 11
Answer:first number is 51 second number is 11
Step-by-step explanation:
Sorry I’m might ask many more questions but I’m trying to finish this tonight so PLS HELP ASAP
Answer:
14 hours
Step-by-step explanation:
93 / 6 = 15.5 so every hour you drive 15.5 miles
217 / 15.5 = 14 you travel 14 miles overall
an electrician charges an initial fee of $250 plus and hourly fee of $25. Mr.Scott paid the electrician $400. How many hours did the plumber work
Answer:
The plumber worked for 6 hours.
Step-by-step explanation:
400-250=150
150/25=6
8. At the local pet store, zebra fish cost $2.20 each and neon letras cost $1.80 each. If Marsha bought 15 fish for
a total cost of $29.80, not including tax, how many of each type of fish did she buy?
a. 8 zebra fish, 7 neon tetras
b. 7 zebra fish, 8 ncon tetras
c. 6 zebra fish, 9 neon tetras
d. 9 zebra fisli, 6 ncoe tetras
Answer:
B. 7 zebra fish, 8 neon tetras
Step by step explanation:
First let's do process of elimination.
X A) 8 x 2.20 = 17.6, 7 x 1.80 = 12.6, 17.6 + 12.6 = 30.2
✔ B) 7 x 2.20 = 15.4, 8 x 1.80 = 14.4, 15.4 + 14.4 = 29.8
X C) 6 x 2.20 = 13.2, 9 x 1.8 = 16.2, 13.2 + 16.2 = 29.4
X D) 9 x 2.20 = 19.8, 6 x 1.8 = 10.8, 10.8 + 19.8 = 30.6
What is the simplified form of 400x100 ?
O 200x10
O 200x50
O 20x10
O 20x50
Answer:
√400 x √100 = 40,000
√40,000 = 200
So your answer is 200 x 10.
Hope this Helps!!
Step-by-step explanation:
The value of the simplified form is,
⇒ 20 x¹⁰
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
√ 400 x¹⁰⁰
Now, We can simplify as;
⇒ √ 400 x¹⁰⁰
⇒ 20 x¹⁰
Thus, The value of the simplified form is,
⇒ 20 x¹⁰
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8n-10=30 hheellppppp
Answer:
8n-10=30 n=5
8n-10=30 n=5
Answer:
8n-10=30
n=5
8(5)-10
40-10=30
n=5
The weight of infants follows a bell-shaped distribution with mean 7.5 pounds and standard deviation 1.75 pounds. A baby born two weeks early has a standardized score of –1.5. What is the baby’s actual weight? Round your answer to the nearest hundredth.
The baby weighed _____ pounds at birth.
Answer:
4.88
Step-by-step explanation:
Answer:
The person above me is right, they deserve brainliest.
It is 4.88
ED2021
Solve for y.
y+9=7
Any help
Answer:
-2
Step-by-step explanation:
7-9=-2 hope this helps
2n+3 5n-4 work out 2 terms that are in both
Answer:
(2n 2+5n−4)⋅(n+1)
Step-by-step explanation:
STEP
1:Equation at the end of step 1
(((4•(n2))+3n)+((2•(n3))-4))+(3n2-2n)
STEP 2:Equation at the end of step 2
(((4•(n2))+3n)+(2n3-4))+(3n2-2n)
STEP 3:Equation at the end of step 3:
((22n2 + 3n) + (2n3 - 4)) + (3n2 - 2n)
STEP 4:Checking for a perfect cube
4.1 2n3+7n2+n-4 is not a perfect cube
9 1/5 into an improper fraction
Answer:
46/5 hope it helps!
Step-by-step explanation:
9x5= 45
45+1= 46
46/5
A circular garden has a radius of 3 meters. What is the area of the garden? Write your answer using π. Show your work.
Answer: 9[tex]\pi[/tex]
Step-by-step explanation:
Sorry the pi sign looks weird. The formula for area of a circle is [tex]a=\pi r^2[/tex], so we have to substitute the radius with 3. The square of 3 is 9, so the answer is 9pi.
How would you find the area of this circle?
9 cm
Answer:
answer C
Step-by-step explanation:
Answer:
opt B
Step-by-step explanation:
A=pi times radius squared
A=pi times 4.5 squared
4.5 is half of 9
proof 9/2
Please help I’ll give brainiest
its an obtuse angle so each equation should equal 180
Hint: (9y+7) = 180 and (2y+98) = 180
hope this helps pls mark me brainliest
The environment club is having a trash pickup day. There are 130 people signed up to help. For the trash pickup day they will work in 4 people . No more than 4 people can join a group. How many groups are there? Explain how you interpreted the remainder.
Answer: 33 groups
Step-by-step explanation:
Number of people that signed for help = 130 people
Number of people that can join a group = 4.
Number of groups that will be formed will be:
= Number of people that signed for help / Number of people that can join a group
= 130/4
= 32.5
= 33 groups
Since there'll be a remainder of 2 people, they will form a new group making 33 groups.
PLS HELP will give brainleist
Answer:
just substitute the X's