Answer:
(3, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 4
y = -x + 5
Step 2: Solve for x
Substitution
Substitute in y: 2x - 4 = -x + 5Add x to both sides: 3x - 4 = 5Add 4 to both sides: 3x = 9Isolate x: x = 3Step 3: Solve for y
Define equation: y = -x + 5Substitute in x: y = -3 + 5Add: y = 2Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
Learn more about the age related problem here;
https://brainly.com/question/91727
the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle
Answer:
l = 31 cm
w = 27 cm
Step-by-step explanation:
l = w + 4
p = 2l + 2w
p = 2(w+4) + 2w
116 = 2(w+4) + 2w
116 = 2w + 8 + 2w
116 = 4w + 8
108 = 4w
27 = w
l = w + 4
l = 27 + 4
l = 31
hope this helps, pls mark brainliest :D
Answer:
w=18 L=40
Step-by-step explanation:
w
---------
| |
| | 2w+4
| |
---------
2(2w+4)+ 2(w)=116
6w+8=116
6w=108
w=18
2(18)+4
36+4
40
what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.
Answer:
11.16
Step-by-step explanation:
hope this helps
helppppppppppppppppppppppppp
Answer: C!!!
Step-by-step explanation:
1. Divide 1,875 by 125 and you get 15.
2. Do the same with 5,625 and you get 375.
3. Multiply 420 by 15 and you get 6,300.
Can you pls mark brainliest!!!! :)))
what are you doing for math
algebra.............
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answer:
D) g(x) = 2x-8
Step-by-step explanation:
Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
Please answer these questions I will mark brainliest
Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban
Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8
Answer:
-8
Step-by-step explanation:
3/4x=-18+12
x=-6×4/3
x=-8
Answer:
x = -8
Step-by-step explanation:
[tex] \frac{3}{4} x - 12 = - 18[/tex]
i) multiply both sides of equation with 4
[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]
[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]
[tex]3x - 48 = - 72[/tex]
ii) move -48 to the right-hand side and change its sign
[tex]3x = - 72 + 48[/tex]
iii) calculate the sum
[tex]3x = - 24[/tex]
iv) divide both sides of equation with 3
[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]
[tex]x = - 8[/tex]
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.
Answer:
Gross income is money earned before taxes are taken from a paycheck
Step-by-step explanation:
Gross income is money earned before taxes are taken from a paycheck
Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.
Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.
For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted
PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
(2,7)
Step-by-step explanation:
Variable Definitions:
x=
x=
\,\,\text{the number of apples}
the number of apples
y=
y=
\,\,\text{the number of bananas}
the number of bananas
\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}
“a minimum of 7 items"→7 or more items
Use a \ge≥ symbol
Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:
x+y\ge 7
x+y≥7
\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}
“$8 to spend"→can spend $8 or less
Use a \le≤ symbol
One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:
2x+0.50y\le 8
2x+0.50y≤8
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}
x+y≥7
y≥7−x
2x+0.50y≤8
0.50y≤8−2x
y≤
0.50
8−2x
y≤16−4x
Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:
0
the number of apples
the number of bananas
x
y
0
the number of apples
the number of bananas
(2, 7)
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Zoey could buy 2 apples and 7 bananas.
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?
Answer:
41 mphStep-by-step explanation:
s₁ = s₂ = x {the distance from A to B}
s = s₁ + s₂ = x + x = 2x {the distance of the round trip}
t = t₁ + t₂ {the time of the round trip}
v₁ = 30 mph
v₂ = 65 mph
t₁ = s₁/v₁ = x/30 h {the time of trip from A to B}
t₂ = s₂/v₂ = x/65 h {the time of trip from B to A}
The average speed:
[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]
Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0
Answer:
x=1/2 or x=−1
Step-by-step explanation:
The solution to the quadratic equation is x = -1 or 1/2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + x - 1 = 0 be equation (1)
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4
x = [ -1 ± √ ( 1 + 8 ) ] / 4
x = [ -1 ± 3 ] / 4
So , the two values of x are
x = ( -1 - 3 ) / 4
x = -1
And , x = ( -1 + 3 ) / 4
x = 1/2
Therefore , the values of x are -1 or 1/2 respectively
Hence , the roots of the quadratic equation are -1 or 1/2 respectively
To learn more about quadratic equations click :
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BRAINLIEST
Which two expressions are equivalent for any value of y?
Group of answer choices
A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
C. 9(y + 3) and 12 + 9y
D. 9(y + 3) and 27 + 9y
-(4x - 7) + 1 = 2 (5 - 2x) solve for x
Answer:
No solution
Step-by-step explanation:
-(4x - 7) + 1 = 2(5 - 2x)
-4x + 7 + 1 = 10 - 4x
-4x + 8 = 10 - 4x
-4x + 8 ≠ -4x + 10
No solution
Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?
Answer:
60%
Step-by-step explanation:
yes
Can someone please explain how to do this?
I’m stuck and I need your help :(
Answer:
9 power 3 minus 3
so 9 power 0
Answer:
9^2
Step-by-step explanation:
Subtract the bottoms exponent from the top exponent. If you see no exponent there is always a one.
Rose, I am very sorry 4 not replying to all ur text. im sorry for wat happen to ur mom.
Answer:
I feel so bad, would you mind telling me what happened to her mother..?
~isimpfortnpu
What is 4% of 25?.....
Answer:
1
Step-by-step explanation:
multiply 25 by .04
Select the correct answer.
Which expression is equivalent to 8V6?
O A. 14
OB.
748
O C. 196
OD. 384
Reset
Given:
Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex] B. [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".
To find:
The equivalent expression.
Solution:
We have,
[tex]8\sqrt{6}[/tex]
It can be written as
[tex]=(\sqrt{8})^2\sqrt{6}[/tex]
[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]
[tex]=\sqrt{8\cdot 8\cdot 6}[/tex] [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]
[tex]=\sqrt{384}[/tex]
So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].
Therefore, the correct option is D.
Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)
Answer:
−5(−6y−3w+2)
=(−5)(−6y+−3w+2)
=(−5)(−6y)+(−5)(−3w)+(−5)(2)
=30y+15w−10
=15w+30y−10
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
Which of the following represents a function
Answer:
D represents a function pretty sure I had a problem like this as well
Step-by-step explanation:
Based on his skills in basketball, it was computed that when Joe Sureshot threw a free throw, the odds in favor of his making it were 4 to 35. Find the probability that when Joe shot a free throw, he made it. Out of every 100 free throws he attempted on the average how many did he miss?
Answer:
11.43%
89 free throws would miss
Step-by-step explanation:
In order to find the percentage probability of Joe making a free throw show we need to the odds given and then multiply that decimal value by 100 like so...
4 / 35 = 0.11428
0.11428 * 100 = 11.43% rounded up
If Joe were to shoot 100 free throws 11.43% would most likely go in but since the actual number can only be a whole number it would mean that 11 of those 100 free throws would go in.
100 - 11 = 89
Therefore, 89 free throws would miss on average.
Please help! asap ill brainlist you :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Answer:
5
Step-by-step explanation:
hope this helps!!!
1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1
Answer:
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1\
Step-by-step explanation: