Using a system of equations, it is found that the simplified equation is y = 6x - 5.
Ada is x years old.Bill is y years old.Last year, Ada was x - 1 years old and Bill was y - 1 years old.
Bill was 6 times as old as Ada, hence:
[tex]y - 1 = 6(x - 1)[/tex]
[tex]y - 1 = 6x - 6[/tex]
[tex]y = 6x - 6 + 1[/tex]
[tex]y = 6x - 5[/tex]
The simplified equation is y = 6x - 5.
For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803
Which statements must be true regarding the two triangles? Check all that apply.
∠M ≅ ∠M''
△LMN ~ △L''M''N''
△LMN ≅ △L''M''N''
The coordinates of vertex L'' are (-3, 1.5).
The coordinates of vertex N'' are (3, -1.5).
The coordinates of vertex M'' are (1.5, -1.5).
Answer: 1, 2, & 5.
Step-by-step explanation:
1) ∠M ≅ ∠M''
2)△LMN ~ △L''M''N''
5)The coordinates of vertex N'' are (3, -1.5).
Find the perimeter. Simplify your answer.
Answer:
28w + 12Step-by-step explanation:
Perimeter = 9w + 1 + 8w + 3 + 6w + 8 + 5w
= 28w + 12...ans
Hope it Helps you!!Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?
Answer:
45.37
Step-by-step explanation:Based on the given conditions, formulate:
5.75
+
36.25
+
3.37
Calculate the sum or difference:
42
+
3.37
Calculate the sum or difference:
45.37
get the result:
45.37
Simplify the expression to a + bi form:
A (-10 – 6i) +(2+i)
What is the answer to this?
Answer: -8 -5i
Step-by-step explanation:
(-10 – 6i) +(2+i)
-10 – 6i +2 + i
(-10 +2) + (i – 6i)
-8 -5i
add on a number line :(+7). (-7)
Answer:
-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.
Step-by-step explanation:
х
4.
1
6 11
y
-3
-2
-1
0
slope:
Answer:
slope = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (11, 0) ← 2 ordered pairs from the table
m = [tex]\frac{0-(-3)}{11-(-4)}[/tex] = [tex]\frac{0+3}{11+4}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
A submarine is cruising at an elevation of
-250/3 meters below sea level, then
descends another 120% meters into the
sea. What is the new location of the
submarine?……NO LINKS
Answer:
Step-by-step explanation:
these are two different questions .
first i solve first
position of submarine= -250/3 meters below see level
height descended=120 % of 250/3=120/100 ×(250/3)=300,00/300=100 m
new location=-250/3+(-100)=-650/3 below see level.
2nd question
position of submarine=-250 2/3=-752/3 m below see level
height descended=120 5/8=965/8 m =-965/8 m below see level
new positin=-752/3+(-965/8)=-(6016+2895)/24=-8911/24=-371 7/24m below sesa level.
1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.
A. −2
B. 10
C. 46
D. 2
Answer:
-2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 3x² - 12x + 10 ← is in standard form
with a = 3 and b = - 12 , then
x = - [tex]\frac{-12}{6}[/tex] = 2
Substitute x = 2 into the function for corresponding y- coordinate
y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2
Then minimum value of the function is - 2
Mrs. Reyes purchased nine books for her classroom that each cost $5.63. Using complete sentences, explain how to find the total cost of the books. Make sure your answer includes the steps of the algorithm you would use, as well as the product. HELP PLEASE i'm stuck
Answer:
5.63 x 9 = 50.67
Mrs. Reyes has spent $50.67 on books.
How do you solve , (x-2)2 ?
Answer:
Distributive property of multiplication
Step-by-step explanation:
2(x-2)
Multiply 2 times x, multiply 2 times 2, so you get:
2x-4
Answer:
Does that help?
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
25x - 4
Step-by-step explanation:
10x + 2 + 8x + 7x - 6
= 25x - 4
9. Which of the following relations are functions? Choose all that apply. Assume that each different variable
has a different value.
{(a,b),(0,0),(c.c),(e,d)}
{(c,e),(c,d),(0,b)}
{(6,5),(c,d),(d.c),(0,0)}
{(a,b),(b,c),(c,d),(d,e)}
Answer:
A and c sorry if I'm wrong
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she
has to buy 3 pounds of onions?
Answer:
Lacey could afford 4.25lb of cherries
Step-by-step explanation:
Cost of onions= 3 lb x 0.98/1=2.94
21.45-2.94=18.48$
1 lb=4.35
18.48 x 1lb of cherries/4.35=4.25lb of cherries.
Hope I helped please mark brainliest it means a lot to my progression and thanks! <3
Which expression is equivalent to 56+23m+12−16m?
Answer:
Step-by-step explanation:like like l'ike m y vieo9dsssssssss
The equivalent expression is 7m + 68
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be A = 56 + 23m + 12 - 16m
Adding the like terms in the equation , we get
A = ( 56 + 12 ) + ( 23m - 16m )
On Simplifying , we get
A = 68 + 7m
A = 7m + 68
Hence , the required solution is 7m + 68
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2 or more angles are supplementary if their sum is 180°. An angle is 4 times the value of its supplement.
I really need help to set up and solve an equation in order to find the measures of the 2 of the angles immediately!!!
I give the Brainliest to whoever got the best correct answer with anyone’s best efforts of step-by-step explanation, so anyway guys, good luck with your answering and I will check to see if you understand my question or not in order to answer my mathematics question! :)
Answer:
Smaller Angle : 36 degrees
Bigger Angle : 144 degrees
Step-by-step explanation:
So we can name the smaller angle x and the larger one 4x. We can add them and make the answer 180. x+4x=180, 5x=180, x=36
Smaller angle : x=36
Bigger Angle : 4x=36*4=144
Answer:
Angle X = 36
Angle Y = 144
Please give me Branliest
Step-by-step explanation:
Ok, so
X + Y = 180
and
4X = Y
So we substitute
X+4X = 180
5X = 180
X = 36
Now
36 + Y = 180
-36 -36
Y = 144
3/4 + 7/8 =??????????????????
Answer:
13/8
in decimal form it is 1.625
Step-by-step explanation:
Answer:
13/8 or 1 5/8
Step-by-step explanation:
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
is the line are perpendicular then the product of there slope is -1
the slope of the first equation is 2
Step-by-step explanation:
m1+m2=-1
2+m2=-1
m2=-1-2
m2=-3
so the second equation became y=-3x+C
then insert the point (-1,2)
2=-3*-1+C
2=3+C
C=2-3
C=-1
so y=-3x-1
Hope that helps
Calculate measures of central tendency and
dispersion for the following:
Find the mean, median, midrange, mode, range, standard deviation and Quartile graph
Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81
Answer:
The mean is 80, the median is 83, and the mode is 90
Step-by-step explanation:
linear equations
1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2
y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.
Answer:
y = 32/2.5
Step-by-step explanation:
formula:
y=kx
k = y/x
k= 4/2.5
so this is k
y = 4/2.5 x
y = 4 / 2.5 × 8
y = 32/2.5
answer.) y = 32/2.5
hope it was helpful
thank you
GIVE CORRECT ANS FOR BRAINLIEST
[tex]2 \frac{5}{6} - 2 \frac{1}{2} \\ = \frac{17}{6} - \frac{5}{2} \\ = \frac{17 - 15}{6} \\ = \frac{2}{6} \\ = \frac{1}{2} [/tex]
Answer:[tex] \frac{1}{2} [/tex]
Hope it helps.
Do comment if you have any query.
If 40% of a number is 24, find 10% of that number.
Answer:
6
Step-by-step explanation:
is %
of 100
24 40
x 100
2400/40 equals 60
60 divided by 10 equals 6
11. In right triangle CAT,
angle. If CA = 6 and CT = 8, find AT.
Answer:
AT=5.29 or 2√7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
CAT means ∡ A is 90°
so CA is one of the leg (a) and AT the other leg (b)
CT is the (c)
6²+b²=8²
b²=64-36
b=√28
=5.29
The length of a rectangular room is 20 times longer than the width . If the perimeter is 588, what are the dimensions of the room
Answer:
im a teacher sorry not giving answer only hint
explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
thank you
Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.
https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html
If for evry 15 there is 25 what is the number for just 5
Answer:
I think it may be 8.3.
Step-by-step explanation:
15 = 25
15÷3=25
25÷3=8.3333333
Round it to 1 decimal place and you get 8.3
y+7=2(x+5) in standard form
Answer:
[tex]2x-y=-3[/tex]
Step-by-step explanation:
[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]
[tex]\underline{\sf{Solve\:for\:}y}:[/tex]
[tex]y+7=2(x+5)[/tex]
[tex]=y+7=2x+2\cdot5[/tex]
[tex]= y+7=2x+10[/tex]
[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]
[tex]=y+7-7=2x+10-7[/tex]
[tex]\underline{y=2x+3}[/tex]
mitchels room measures 10 inches by 6 inches on a scale drawing. what are the actual measermets of his room (in feet) of he uses a scale of 1 to 24?
width height
Answer:
20 ft by 12 ft
Step-by-step explanation:
(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft
(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft
what is 29,032 to the nearest thousands
Answer:
29,000
Step-by-step explanation:
Answer:
30,000 i believe
Step-by-step explanation:
if that isnt the right answer then its just 29,000
What is the quotient?
126 divided by 7
A. 18
B.16
C. 19
D. 17
Answer:
A
Step-by-step explanation:
I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 \div 7 = 18
Answer:
A. 18
Step-by-step explanation:
I took a photo of my work I didn't know how I could type that here
Tell me if I'm wrong :)