Answer:
140
Step-by-step explanation:
7(2x-3y)
7(2*7-3(-2))
7(14+6)
7(20)
140
Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
Find the area of this figure pls
Answer:
1824 in2
Step-by-step explanation:
sqaure = 48 x 32 = 1536 in2
Triangle = (12 x 48) / 2 = 288 in2
total area = 1536 + 288 = 1824 in2
A ball is dropped from a height of 12 feet and returns to a height that is one-
half of the height from which it fell. The ball continues to bounce half the
height of the previous bounce each time. How far will the ball have traveled
vertically when it hits the ground for the fourth time? It might be helpful to
sketch the path of the ball.
Answer:
33.75 ft
Add up every time it travels both up and down.
12 + 6 + 6 + 3 + 3 + 1.5 + 1.5 + .75 = 33.75 on the fourth landing.
Step-by-step explanation:
The ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The ball is dropped from a height of 12 feet, so we can represent this with the point (0,12) on a coordinate plane.
The ball then bounces up to a height of 6 feet (half the height of the previous bounce), so we can represent this with the point (1,6) on the coordinate plane.
The ball then bounces down to a height of 3 feet (half the height of the previous bounce), so we can represent this with the point (2,3) on the coordinate plane.
The ball then bounces up to a height of 1.5 feet (half the height of the previous bounce), so we can represent this with the point (3,1.5) on the coordinate plane.
The ball then hits the ground for the fourth time.
The distance of the first bounce is 12 - 6 = 6 feet.
The distance of the second bounce is 6 - 3 = 3 feet.
The distance of the third bounce is 3 - 1.5 = 1.5 feet.
The distance of the fourth bounce is 1.5 - 0 = 1.5 feet
The total distance the ball traveled vertically is: 6 + 3 + 1.5 + 1.5 = 12 feet
Hence, the ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.
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give the value of x for the equivalent ratio 3:8 x:24
Answer:
9
Step-by-step explanation:
3/8=x/24 (cross multiplication)
3*24=8x (we don't need to multiply 3 with 24 bc we will divide both sides by 8 so it will be easier to find the final value)
x=9
Answer:
x = 9
Step-by-step explanation:
8: 24
Multiply 3
8 x 3 = 24
3 : x
Multiply 3
3 x 3 = 9
x = 9
Write an absolute value inequality to describe the graph.
Answer:
A: |x - 6| ≤ 6
Step-by-step explanation:
Looking at the number line graph to interpret the inequality, since the plot is between -6 and 6, the mid value will be (-6 + 6)/2 = 0. Thus, we have;
0 - 6 < x - 6 < 6 - 0
This gives;
-6 < x - 6 < 6
Thus, writing in absolute value, we have;
|x - 6| ≤ 6
Volume of the cylinder
I’ve tried all the answers I could find and they’re still wrong.
which of the following describes the data set
50,59,60,61,70,76,80
Answer:a
Step-by-step explanation:
Find the perimeter and area of each triangle.
13. One kilogram is equal to 1,000 grams.
How many kilograms equal 2,570
grams?
A 257 kilograms
8 25.7 kilograms
257 kilograms
0.257 kilogram
Answer quick PLZZ no website
Answer:
I'm pretty sure it's 0.257!
Step-by-step explanation:
Sorry if I got it wrong I'm trying my best hope you have a great day!!
Answer:
2.57 is the answer because 1kg=1000g so 2570\1000 ie 2.57 which is 0.257
Solve the right triangle. Round decimal answers to the nearest tenth.
Answer:
See solution below
Step-by-step explanation:
According to pythagoras theorem
hyp^2 = opp^2 + adj^2
10^2 = 4^2 + b^2
100 = 16 + b^2
b^2 = 100-16
b^2 = 84
b = √84
b ≈ 9
Using SOH CHA TOA identity
sin B = AC/AB
Sin B = 9/10
B = arcsin0.9
B ≈ 64degrees
sinA = BC/AB
Sin A = 4/10
A = arcsin0.4
A ≈ 24degrees
A school has 320 girls and 250 boys.
The probability that a girl is left-handed is 0.2
The probability that a boy is left-handed is 0.1
Estimate the number of left-handed students in the school.
Joaquin was putting numbers on a number line. Which number is NOT placed correctly on the number line?
A.27/2
B.42
c.18 ¾
D.21.1
PLS I NEED HELP
Answer:
C
Step-by-step explanation:
Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book
Answer:
12 days
Step-by-step explanation:
420/35 to find amount of days to finish book
420/35 = 12
On a map, the scale shown is 1 inch : 5 miles. If a park is 75 square miles, what is the area of the park on the map?
Given:
On a map, the scale shown is 1 inch : 5 miles.
Area of park = 75 square miles.
To find:
The area of the park on the map.
Solution:
Ratio of the areas of similar figures is equal to the ratio square of their corresponding sides.
[tex]\dfrac{\text{Area of park on the map}}{\text{Actual area of the park}}=\dfrac{\text{Side of park in map}^2}{\text{Actual side of park}^2}[/tex]
Let A be the area of the park on the map.
[tex]\dfrac{A}{75}=\dfrac{1^2}{5^2}[/tex]
[tex]A=\dfrac{1}{25}\times 75[/tex]
[tex]A=3[/tex]
Therefore, the area of the park on the map is 3 square inches.
Find the area of the figure.
Answer:
area is 192
Step-by-step explanation:
yw
Please help.
Is algebra.
Answer:
Step-by-step explanation:
b) Find the measurements of a rectangk with a perimeter of
26cm and an area of 1600cm
Answer:
b) Find the measurements of a rectangk with a perimeter of
26cm and an area of 1600cm
There is no way to get an area of 1600 cm using a perimeter as small as 26 cm.
Step-by-step explanation:
perimeter = 2(L + W) = 26, then L + W = 13, so L = 13 - W
area = L x W = 1600
substitute for L:
(13 - W)W = 1600
13W - W² = 1600
-W² + 13W = 1600
-W² + 13W - 1600 = 0
W² - 13W + 1600 = 0
Not possible
I need the answer to question 3 please help me
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Supplementary Angles add up to 180.
Angle C and Angle D add up to 180.
[tex]128 + 2x = 180[/tex]
[tex]2x = 52[/tex]
[tex]x = 26[/tex]
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
Answer:
Interest = $ 90000
Step-by-step explanation:
Given, Principal= $15000
Rate = 3%
Time = 5 years
Interest = P × R × T/100
Therefore, Interest = 15000 × 3 × 5/100
(dividing 100 by 5 to get 20)
= 15000 × 3 × 20
= 90000
if it helps don't forget to like and mark me down
find the area of the cube
Answer:
125 in^3
Step-by-step explanation:
5in x 5in x 5in = 125in^3
NEED HELP NOW!!!!!!!!!!!!!!!
Answer:
a. 3
b. 3.5
c. 9
d. 12
e. 8
f. 1.5
A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 90 centimeters. If the company used 30,520.8 cm
of steel, how many rods did it make?
Use 3.14 for x, and do not round your answer.
Answer:
26.986 rods
Step-by-step explanation:
What is the decimal equivalent of 7/8
Answer:
0.875
Step-by-step explanation:
to convert the fraction 7/8 to decimal
therefore 7 divided 8 = 0.875
1
01:29:24
If a translation (x, y) - (x + 6. y-10) is applied to
figure ABCD, what are the coordinates of D'?
O (-5,-2)
O (1.-12)
O (4, -15)
O (-9, -6)
Answer:
a
Step-by-step explanation:
The coordinates of D'(1, -12).
What is Transformation?A transformation is a method of modifying a polygon or other two-dimensional object on a plane or coordinate system.
Dilation - When the image becomes larger or smaller than the preimage, it is said to be "shrinking" or "enlarging."A reflection is a mirrored preimage; "a flip.""A turn" - The picture is the preimage rotated around a fixed point.Shear - All of the points along one side of a preimage remain stationary, while all of the other points move parallel to that side in proportion to the distance from the given side; "a skew."Translation - The image is offset from the preimage by a constant value; "a slide."If a translation (x, y) - (x + 6. y-10) is applied to figure ABCD.
Then, the coordinates after Translation
A (-3, 4) -----> A'( -3 +6 , 4 -10)-----> A'(3, -6)
B (3, 4) -----> B'( 3 +6 , 4 -10)-----> B'(9, -6)
C( 1, -2) ----> C' (1 + 6 , 2 -10) -----> C'(7, -8)
D(-5, -2) ---------> D' (-5 +6, -2 -10) --------> D'(1, -12)
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Plz help me this is to much
Ms.Femandez needs to buy new carpet for her bedroom floor. A model of her bedroom floor is shown on the right .If each square foot of carpet costs $2 how much will it cost her to buy the carpet?
Correct Questions:
The correct question has a diagram attached to it which has dimensions of the bedroom floor available which are 15 by 18 feet.
Answer:
Answer is 540 $
Step-by-step explanation:
We will first find the area of the room
Area = Length x Width
Area = 15 x 18 = 270 sq feet
She needs 270 square feet of carpet.
one square feet costs 2 $
so, total cost of carpet = 270 x 2 = 540 $
Help! Thanks if you do! ✨✨
Answer:
I would say either A or C
Step-by-step explanation:
Helpp ASAP!!!! I would appreciate it
Answer:
C. -5
The slope is -5.
Step-by-step explanation:
Hope this helps! :)
number 9 help, please
Answer:
Unique
Step-by-step explanation:
Anyone good in Geometry
Answer:
10
Step-by-step explanation:
6x = 60
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Equilateral triangles.
Since the above triangle is a equilateral triangle, that has all sides equal and also all angles are equal,
by applying the angke sum property of triangle we get as,
==> 6x + 6x + 6x = 180°
hence, 18x = 180°
==> x = 180/18 ==> 10°
hence the value of x = 10°