Answer:
7x+21
Step-by-step explanation:
Answer:
7x + 21
Step-by-step explanation:
Given
7(x + 3)Solving
Use the Distributive Property ⇒ x(a + b) = xa + xb7(x) + 7(3)7x + 21
Which table contains input-output values of the function y = 2x - 7?
Answer:
The input-ouput is B.
Step-by-step explanation:
By plugging in 3, -4, and 5 into the x-values of the equation [tex]f(x)=2x-7[/tex] you provided you get
[tex]f(3) = 1 , f(-4) = -15 , f(5) = 3[/tex]
Gavin has 300 pencils
15% of the pencils need to be sharpened
Work out how many pencils need to be sharpened
Answer:
45 pencils
Step-by-step explanation:
15%/100% ×300
15% ×3
=45 pencils that needed to be sharpened and it is at easy as that
15% of 300 =
10%= 30
5%= 15
30+15 = 45
45 pencils need to be sharpened
A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
13.747... meters
Step-by-step explanation:
Refer to image attached~
Let AC represent the length of the ladder.Let BC represent the distance from the base of the ladder from the base of the building.Let AB (x) represent the height of the building.In this case, the longest side of the triangle formed is AC. Thus, our hypotenuse is AC (17 m).
To determine the height of the building, we need to use pythogoras theorem.
Pythogoras theorem: (Hypotenuse)² = (Side)² + (Side)²
⇒ (17)² = (10)² + (x)²⇒ 289 = 100 + (x)²⇒ 289 - 100 = (x)²⇒ 189 = (x)²Take square root both sides:
⇒ √189 = √(x)²⇒ x = √189 ≈ 13.747... metersAnswer:
13.75 ft (nearest hundredth)
Step-by-step explanation:
The ladder creates a right triangle with the wall and ground, where:
leg (base) = groundleg (height) = wallhypotenuse = ladderPythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 10 ftc = 17 ftSubstitute the given values into the formula and solve for b:
⇒ 10² + b² = 17²
⇒ b² = 17² - 10²
⇒ b² = 289 - 100
⇒ b² = 189
⇒ b = ±√(189)
As distance is positive, b = √(189) ft only
Therefore, the ladder reaches 13.75 ft (nearest hundredth) up the wall.
Consider the following 8 numbers, where one labelled
x
is unknown.
48
,
9
,
29
,
x
,
5
,
32
,
22
,
5
Given that the range of the numbers is 63, work out 2 values of
x
Answer:
Step-by-step explanation:
48 + 9 + 29 + x + 5 + 32 + 22 + 5 = 63
by adding all numbers except x, we get
150 + x = 63
x = 63 - 150
x = - 87
Find the value of z.
Answer:
6√2=z
Step-by-step explanation:
As we are given a right angle we simply can apply the formula a²+b²=c².
A = 3
B = z
C = 8+1 which we add to get 9
Now, we plug this into the equation
9²=z²+3²
81=z²+9
72=z²
√72=z
√2x2x2x3x3 (expanding 72)
6√2=z
Transversal Problems with Equations (Level 1)
Delta Math
Answer:
x = 15
Step-by-step explanation:
Where a transversal crosses parallel lines, alternate exterior angles are congruent. This lets you write an equation relating the measures of the marked angles.
__
(6x +8)° = (7x -7)° . . . . the angles have the same measure
15 = x . . . . . . . . . . . . divide by °, add 7-6x
What’s the answer????
Answer:
5
Step-by-step explanation:
Pls hurry and help me pls.
please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 11 cos 22 = 11 * .927 = 10.2
30. Tina went to batting cages with $20. She rented a bat for $3. 25 and
paid $3 for each round. What was the greatest number of rounds Tina
could have played?
Answer:
5
Step-by-step explanation:
Tina started with $20, but had to spend $3.25 on the bat.
$20-$3.25 = $16.75, which is all she has left for rounds.
Each round costs $3.00
$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds
5 rounds X $3.00 per round comes to $15.00
Written as a rate, 162 miles in 3 hours would be ____ miles per hour.
Answer:
54:1
Step-by-step explanation:
That is the right answer and is actually the only one written as a unit rate. All the other are not even written correctly.
Answer:
54:1
Step-by-step explanation:
Because the rate would be 162:3 but simplified, you would divide by 3 and get 54:1.
The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD
Answer:
(2,-1)
Step-by-step explanation:
[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]
[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]
[tex]midpoint = (2, - 1)[/tex]
5. The equation y=3/2 is rotated 180° around the origin. What is the equation of the image line?
Answer:
(d) y' = 3/2x
Step-by-step explanation:
The transformation for rotating a figure 180° about the origin is ...
(x, y) ⇒ (-x, -y)
__
Given the line ...
y = 3/2x
The translation of it is ...
-y' = 3/2(-x)
Simplifying gives ...
y' = 3/2x
_____
Additional comment
Rotation 180° about the origin is equivalent to reflection across the origin. For a line that passes through the origin, that reflection is simply the original line, as we can see in the equations above.
If you borrow $100 for 3 years at an
annual interest rate of 9%, how
much will you pay altogether?
Answer:
$127
Step-by-step explanation:
[tex]i = \sf \frac{prt}{100} [/tex]
=> 100 × 3 × 9/100
=> 3×9 = 27
Total amount= 27 + 100
=> 127
Answer :-- $127
Fish weighs 135 pds the scale has error of up to 5%. What is the answer
Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The difference between the squares can be written as,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
The expression that will result in the difference in the squares will be
[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]
Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).
Learn more about Expression:
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2 1/2 * 7 7/3 *- 5 3/7
Answer:
-126.66
Step-by-step explanation:
£££££££££££££₩₩₩¥₩₩
A square prism has a height of 12 inches and a base with an area of 30 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V, is true?
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A square prism has a height of 12 inches and a base with an area of 30 square inches.
A cylinder is inscribed inside the prism.
The volume of the square prism will be
[tex]V_{square} =Base[/tex] [tex]area*Height[/tex]
[tex]V_{square}=30*12[/tex]
[tex]V_{square} =360[/tex] [tex]in^3[/tex]
The volume of the cylinder will be
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the base circle of the cylinder will be
[tex]r=\frac{\sqrt[]{30}}{2}[/tex]
[tex]r=2.7386[/tex]
Then volume will be
[tex]V_{cylinder}=\pi *(2.7368)^2*12[/tex]
[tex]V_{cylinder}=282.74[/tex] [tex]in^3[/tex]
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
More about the rectangular prism link is given below.
https://brainly.com/question/21308574
Below is a scale drawing of a ballroom that mika is designing. a rectangle with length 11 inches and width 4 inches. using the scale 1 in. : 4 m, mika calculated the length, or the longer side of the ballroom, to be 44 m. she decides to change the scale to 1 in. : 7 m. what is the length of the new ballroom? 16 m 28 m 44 m 77 m
The length of the new ballroom (in reality, the ballroom is designed according to scale drawing) is given by: Option D: 77 m
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
We're given that:
The scale that Mika uses: 1 in: 4m (1 inch in drawing is 4 metre in real world).The scale drawing has a rectangle of 11 in to 4 inchThe longer side of the ballroom is 44 mShe changes the scale to: 1 in: 7mLength of new ballroom (the longer length) is to be found.Since in the drawing, 11 inches was representing 44 m length of the ballroom when 1 inch: 4 metre scale was being used (as 11×4=44), so when the scale is 1 inch: 7 meters, then the new length of the ballroom in reality would be: 7 metre 11 times (since there is 11 inches as length of ballroom in the scale drawing)
This evaluates to [tex]7 \times 11 = 77 \: \rm metre[/tex]
Thus, the length of the new ballroom (in reality, the ballroom is designed according to scale drawing) is given by: Option D: 77 m
Learn more about scale factors here :
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The length or the longer side of the new ballroom is 77m.
Dimensions of the model = 11 inches*4 inches
1 inch = 4m
What is a scale factor?A scale factor is a factor by which the dimension of an object is enlarged.
So, the dimensions of the ballroom will be:
Length = 11*4 = 44m
Width = 4*4 =16m
But, Mika decides to change the scale to 1 inch: 7metres
So, the length of the new ballroom = 11*7 =77m
So, the length of the new ballroom =77m
Hence, the length of the new ballroom is 77m.
To get more about scales visit:
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3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.
What expression represents the width of the rectangle?
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
In ms Perron's class,75% of the students are boys.There are 18 boys in the class.What us the total number of students in ms. Perrons class
To solve this you first have to find your missing percentage 25%
something you can do is find the pattern that there is 75% is 3/4 of 100 so you could find what 25 %is worth out of 18 so 18/3=6.Now that you have found your 25% all you have to do is add the amount of boys to girls so 18+6=24 and you have your answer.
There are 24 students in the class in which 75% of the students are boys (18 boys)
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the total amount of students in the class.
75% of the students are boys.There are 18 boys in the class, hence:
0.75x = 18
x = 24
There are 24 students in the class in which 75% of the students are boys (18 boys)
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The line segment reflects across the x-axis. What are the new coordinates for the endpoints? How does the transformation affect the length of the line segment?A) (−4, −8) and (4, 1); The length of the segment does not change.B) (−4, −8) and (−4, −1); The length of the segment does not change.EliminateC) (4, −8) and (−4, 1); The transformed segment is longer.D) (4, 8) and (4, 1); The transformed segment is shorter.
Answer:
The length does not change
Step-by-step explanation:
Only dilations will change the size of something, the line is just changing locations. because it is across the x axis, apply the rule
x,-y
-4, -8
4, 1
x^2-y^2=16
y^2=-x+4
I need help to solve the system of equations
Answer the questions below based on the two quadratic functions.
Answer:
The vertex of Function 2 is at (2,7)
The function that has the smaller minimum value is Function 1
The smaller minimum value is 3
Step-by-step explanation:
hope this helps :)
Which rational number is equivalent to 0.86?
[tex]0.86\\\\=\dfrac{86}{100}\\\\=\dfrac{43}{50}[/tex]
im stuck please help
Answer:
it's 720
Step-by-step explanation:
6x10=60x12=720
PLEASE HELP!! I NEED HELP ON MY MATH
Answer:
750 and 3.125
Step-by-step explanation:
a = 750
b= 3.125
Which is more, 6 quarts or 26 cups?
Answer:
26 cups
Step-by-step explanation:
24 cups is 6 quarts, 25 cups is 6.25 quarts, and 26 cups is 6.5 quarts.
Therefore, 26 cups = 6.5
6.5>6
26 cups is larger than 6 quarts.
Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.
Answer:
2 and 4 is repeated mode of the data
Answer:
2 and 4
Step-by-step explanation:
The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the mode
WILL GIVE BRAINLIEST PLS HELP
Table 101 х 30 5080 y 10 18 25 9 from "Table 101" To evaluate the fit of a model, the absolute values of the deviations (differences between the actual data values and values predicted by the model) are added together. Order the models based on the these total deviations. Place the model with the smallest total absolute deviation on top. y = 0.4x - 2 = - y = 0.3x + 2 y = 0.3x + 1
Answer:
We can determine that Option A, y = 0.4x - 2 is the correct answer
Step-by-step explanation:
Step 1: Plug in 30 into the x-value to see if the y-value matches
Equation 1 --> y = 0.4(30) - 2 = 10
Equation 2 --> y = 0.3(30) + 2 = 11 <-- WRONG Y-VALUE
Equation 3 --> y = 0.3(30) + 1 = 10
Step 2: Plug in 50 into the x-value to see if the y-value matches
Equation 1 --> y = 0.4(50) - 2 = 18
Equation 3 --> y = 0.3(50) - 2 = 13 <-- WRONG Y-VALUE
Answer: We can determine that Option A, y = 0.4x - 2 is the correct answer