55
Step-by-step explanation:
look at the picture.
Step-by-step explanation:
I think it's already in standard form
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 4(t + 2) = 10
Answer & Step-by-step explanation:
4(t + 2) = 10
4t + 8 = 10
4t = 2
t = 1/2
Hope this helps
Johnny is 5 years younger than 3 times the age of Johnson, please write an expression for Johnny's age. If Johnson is 4 years old, how old is Johnny?
Answer:
Johnny is 7
Step-by-step explanation:
multiply 4 by 3 as johnny is 5 years younger then 3 times the age of Johnson and Johnson is 4 so we get 12 then we subtract 5 and get 7
can somebody help me ??
after multiplying,we have a(b plus c)
Answer:
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.
Step-by-step explanation:
Substitute (–5, 0.5) into x – 4y = –7 to get
Answer:
(-5)-4(0.5)=-7
Step-by-step explanation:
(-5)-4(0.5)=-7
-5-2=-7
-7=-7
the first term of a geometric progression is 12 and the second term is -6. Find the (i) the tenth term of the progression (ii) the sum to infinity
Step-by-step explanation:
a1=ar⁰=12 A2=ar¹=-6
a=12 ar=-6
12r=-6
r=-6/12
r=-1/2
a10=ar⁹
=12*(-1/2)⁹
=12*(-512)
=-3/128
S∞ = a1 / (1-r )
=12/(1-1/2)
=12*1/2
=6
The tenth term of the progression will be -3/128, and the sum to infinity will be 6.
What is geometric progression?The geometric progression defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
We have been given that the first term of a geometric progression is 12 and the second term is -6
So common ratio r = second term/first term = -6/12= -1/2
The tenth term of the progression will be
⇒ ar¹⁰⁻¹ = ar⁹
⇒ 12(-1/2)⁹
⇒ -12(1/512)
⇒ -3/128
The sum to infinity = a / (1-r )
The sum to infinity = 12/(1 - 1/2)
The sum to infinity = 12 × 1/2
The sum to infinity = 6
Thus, the tenth term of the progression will be -3/128, and the sum to infinity will be 6.
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The perimeter of the rectangle below is
118 units. Find the length of side AB
.
This a question about perimeter and equation, let's see how to solve that:
The perimeter of a rectangle is the sum of its 4 sides. In this case, we know that the perimeter is 118. We can do an equation with these datas:
[tex]\boxed{AB + BC + CD + DA = 118}[/tex]
We also know other informations: the side AB is equal to [tex]4y+3[/tex] and de side BC is equal to 3y. In a recltangle, parallels sides have the same value. So, the side CD is equal to [tex]4y+3[/tex] and the side DA is equal to 3y.
Now, we have these datas:
[tex]AB + BC + CD + DA = 118\\\\AB = CD = 4y + 3\\BC = DA = 3y[/tex]
Let's do and solve an equation:
[tex]AB + BC + CD + DA = 118\\\\4y+3 + 3y + 4y+3 + 3y = 118\\14y + 6 = 118\\14y = 118 - 6\\14y = 112\\y = \frac{112}{14} \\y = 8[/tex]
So, the value of y is 8. Let's replace the value of y in the side AB:
[tex]4y + 3\\4\times 8 + 3 = 35[/tex]
Therefore, the length of side AB is 35.
The lenth of a rectangle is 6 inches longer than its width. The perimeter of a rectangle is 28 inches. If x represents the width of the rectangle in inches which equation can be used to find its value
Answer:
28-6=w
Step-by-step explanation:
Which series of transformations shows that figures 1 and 2 are similar?
Figure 1 is the preimage. *
sty
7
6
5
AU
2
1
O
3
--7-6-5-4-3 2-1
4 5 6 7 8
-5
-6
-7
-81
о
a dilation of figure 1 with scale factor 12 then a reflection
О
a dilation of figure 1 with scale factor 12 then a translation
a dilation of figure 1 with scale factor 3/2 then a translation
a dilation of figure 1 with scale factor 3/2 then a reflection
Answer:
Option (4)
Step-by-step explanation:
Length of segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the figure attached,
Distance between A(0, -3) and B(3, 0) = [tex]\sqrt{(3-0)^2+(0+3)^2}[/tex]
AB = [tex]3\sqrt{2}[/tex]
Distance between A'(-3.5, -4.5) and B'(-8, 0)
Length of A'B' = [tex]\sqrt{(-3.5+8)^2+(-4.5-0)^2}[/tex]
A'B' = [tex]4.5\sqrt{2}[/tex]
Scale factor for dilation = [tex]\frac{4.5\sqrt{2}}{3\sqrt{2}}=1.5[/tex]
Therefore series of transformations will be,
A dilation of figure 1 with scale factor of [tex]\frac{3}{2}[/tex] and then a reflection.
Option (4) will be the answer.
Use quadratic formula to solve equation -3x^2-4x-4=0 pls help I have 10 minutes left of this test!!
Answer:No real solutions
Step-by-step explanation:Let's solve your equation step-by-step.
−3x2−4x−4=0
For this equation: a=-3, b=-4, c=-4
−3x2+−4x+−4=0
Step 1: Use quadratic formula with a=-3, b=-4, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−4)±√(−4)2−4(−3)(−4)
2(−3)
x=
4±√−32
−6
Find mn
38
7
19
4
question 2
A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground.
If the rover continues at the same rate, how many centimeters will it travel in 1512 seconds?
Enter your answer in the box.
Answer:
7,408.8
Step-by-step explanation:
multiply 4.9 by 1512
How many cars were sold this month, is this a statistical question?explain why or why not
What is the simplified version of this expression? 7 (5x - 1)
1. 35x + 7
2. 35x - 7
3. -35x - 7
4. 35x - 7
i need sum help with this pleaseee helppp
Answer:
$ 26 . 25this is a answer
Answer:
The last answer choice $8.75
Step-by-step explanation:
(35*25)/100
= 875/100
=8.75
You are a part of a sports team that has at least 5 players but no more than 9 on a team. Your cleats for the team cost $15 each and can be represented by the function f(x)=15x where x is the
number of cleats. What is the range of this scenario?
RANGE:
Answer:
4-1x is the answer, I hope this helps and have good day:)
Step-by-step explanation:
Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to make a cranberry-apple juice mixture that costs $4.50 per quart. He wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice. Which equation below represents the situation
Answer:
D. 6.30q + 14.40 = 4.50(q + 4)
Step-by-step explanation:
Which equation below represents the situation
A. 3.60(q – 4) + 25.20 = 4.50q
B. 3.60q + 25.20 = 4.50(q + 4)
C. 6.30(q – 4) + 14.40 = 4.50q
D. 6.30q + 14.40 = 4.50(q + 4)
Cost of Cranberry juice = $6.30 per quart
Cost of apple juice = $3.60 per quart.
Let
Cost of q quarts of Cranberry juice = $ 6.30q
Cost of 4 quarts of apple juice = $3.60×4= $ 14.40
Total quarts of cranberry-apple juice mixture = q+4
Terrence wants to make a cranberry-apple juice mixture that costs $4.50 per quart
Total revenue = price × quantity
= $4.50(q+4) (1)
Total cost of the mixture = Cost of q quarts of cranberry juice + cost of 4 quarts of apple juice.
= 6.30q + 14.40 (2)
Equate both equations
$4.50(q+4) = 6.30q + 14.40
It can also be written as
6.30q + 14.40 = 4.50(q + 4)
The correct answer is
D. 6.30q + 14.40 = 4.50(q + 4)
How much money is shown?
Answer:
55 cents
Step-by-step explanation:
Answer: 55 cents.
Step-by-step explanation:
Plz help need answers quickly I have not so long
Answer: $10
Step-by-step explanation:
$4/40 golf balls = $1/10 golf balls
$1/10 = x/100, x=100/10, x=$10
Answer:
It is $10 dollars, so the person that answered before got it right
Step-by-step explanation:
$4 x
_____________
40 100
40x= 400
x=10
What is the equation of the line that passes through the point (-1,4) and has a
slope of -5
Answer: -7
Step-by-step explanation:
soooooooooo no ones gonna help me with my paper? ight lol
Answer:
Which paper?...LOL...
ITS DUE TODAY PLS HELP!!! ILL GIVE BRAINLIEST.
Tom performs a dilation of ⅓ on a triangle. He then classifies the image and pre-image as being congruent. Is Tom correct? Why or why not? Explain you answer down below.
Answer: Tom is incorrect.
Step-by-step explanation: Congruent is defined as having exactly the same angle measurements and exactly the same side lengths.
In the 1/3 dilation, the angles will remain the same, but all the sides will be shorter, 1/3 the lengths of the original image. The image and pre-image are not congruent. They are similar.
Change 0.000000057 into scientific notation.
Answer:
5.7x10^-8
Step-by-step explanation:
Move the decimal 8 places to the right.
Hope this helps
(04.03 MC)
Explain how System 1 becomes equivalent to System 2.
System 1:
Ax + By = C
Lx + My = N
System 2:
Ax + By = C
(A − L)x + (B − M)y = C − N
Answer:
system 2
Step-by-step explanation:
hope it helps!!!!!!
A zip line from the tallest tree in the forest to the campsite is 145 feet. The angle of elevation from the ground to the top of the tree is 58°. How tall is the tree? Round your answer to the nearest foot.
Answer:
123 ft
Step-by-step explanation:
create a right angle triangle from the given info.
your perpedicular will be tree height and hypotneus will be 145 feet
sin 45=Tree height/145
122.96=tree height
123 ft
The height of the tree will be equal to 123 feet.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that a zip line from the tallest tree in the forest to the campsite is 145 feet. The angle of elevation from the ground to the top of the tree is 58°.
Create a right-angle triangle from the given info. your perpendicular will be tree height and your hypotenuse will be 145 feet
sin 45=Tree height/145
122.96=tree height
123 ft
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If there is a point on the grid and its (6,4) and its asking to rotate it 90 degrees clockwise what is the answer ?
673 divided by 458 please HELPPP!!!!
Answer:
1.46943231441048
Step-by-step explanation:
Geometry hw! Pls help!
Given that m<3=m<6, which theorem or postulate would you use to prove that a || b?
Answer:
C
Step-by-step explanation:
1. Identfiy The type therom it is which is alternate interior
2. Find the converse of the alternate interior which is the oppoiste so it has to be alternate exterior angle
Will give Brainliest need help asap
A circle has an area of approximately 78.5 square units. If the center of the circle is at Left-parenthesis 2 comma 4 right-parenthesis. Which of the following points is on the circle? A. Left-parenthesis negative 6 comma 4 right-parenthesis B. Left-parenthesis 2 comma negative 1 right-parenthesis C. Left-parenthesis negative 4 comma negative 4 right-parenthesis D. Left-parenthesis 2 comma negative 9 right-parenthesis
Answer:
The answer is (2, -1)
Step-by-step explanation:
The area of the circle is:
A = r²π
We know
A = 78.5
π = 3.14
78.5 = r² * 3.14
r² = 78.5 : 3.15
r² = 25
r = √25 = 5
The standard form equation of a circle is:
(x - h)² + (y - k)² = r²
We have:
(2, 4)
⇒ h = 2
k = 4
r = 5
(x - h)² + (y - k)² = r²
(x - 2)² + (y - 4)² = 5²
(x - 2)² + (y - 4)² = 25
Now, let's substitute all choices:
(-6, 4):
(-6 - 2)² + (2 - 4)² = 25
(-8)² + (-2)² = 25
64 + 4 = 25
68 = 25
Wrong
(2, -1)
(2 - 2)² + (-1 -4)² = 25
0² + (-5)² = 25
0 + 25 = 25
25 = 25
Right
Hope this helps :p
Answer:
(2, -1)
Step-by-step explanation:
same test