4. (LT 1.1) The perimeter of the rectangle below is 40 feet. Its length and width are
given in terms of x. Find the length and width of the rectangle.
3x
2x + 5
Answer:
Length, L = 9 feet.
Width, W = 11 feet.
Step-by-step explanation:
Given the following data;
Perimeter = 40 feet
Length = 3x
Width = 2x + 5
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
40 = 2(3x + 2x +5)
40 = 2(5x + 5)
40 = 10x + 10
10x = 40 - 10
10x = 30
x = 30/10
x = 3
Now, to find the length;
Length, L = 3x
Substituting into the equation, we have;
Length, L = 3*3
Length, L = 9 feet
To find the width;
Width, W = 2x + 5
Substituting into the equation, we have;
Width, W = 2(3) + 5
Width = 6 + 5
Width, W = 11 feet.
"HOT PIZZA" is offering a 20% discount on all its pizza
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer: the answer is 7
Step-by-step explanation:
first you divide the price by four then add a quarter to the original amount. gl
HELP
Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
(-8, 6)
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is:
y = -4 + 38
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
We have given that,
An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
(-8, 6)
What is the slope-intercept form?
y=mx+b
Where m is the slope
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is y = -4 + 38.
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4. a. Write a story to represent the equation 15 ÷ 1/9 : _______. Solve the equation and complete the story.
b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help.
Answer:
4555
Step-by-step explanation:
32233x222213456765x345665434565
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...
A. an = 9 + 2(n-1)
B. an = 9 + 2(n+1)
C. an = 9 + 2
D. an = 9 * 2(n)
Answer:
2n+7
Step-by-step explanation:
find the difference
and see the difference from the 2 Times table to the original sequence
and write it as an equation for this sequence
Answer:
A
Step-by-step explanation:
A line has a slope of 5 and passes through the point (1, 0). What is its equation in
slope-intercept form?
Answer:
y=5x-5
Step-by-step explanation:
find y-intercept:
0=1(5)+b
b=-5
Answer:
y = 5x - 5
Step-by-step explanation:
y = mx + b
m = 5
b = ?
Plug in the coordinates
0 = 5(1) + b
0 = 5 + b
-5 = b
Finally:
y = 5x - 5
HELP PLEASEE ANYBODY
Answer:
you didn’t provide a question
Step-by-step explanation:
Which graph represents an exponential function?
Answer:
A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.
Write the exponent for the expression.
1/9 x 1/9 x 1/9=?
HELP FAST plz
Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.
Down is a formula I made!
Main number: 1/9
Repeating how many times: 3
Expression: [tex]\frac{1}{9} ^3[/tex]
Therefore, 1/9 to the 3rd power is 1/729.
[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]
Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.
283838383838382828 + 838383838
Answer:2.8383838e+17
Step-by-step explanation:
Answer:
2.8383838e+17
Step-by-step explanation:
283838383838382828 + 838383838=2.8383838e+17
Name the property shown.
(9 + 3) + 2 = 9+ (3 + 2)
Answer:
associative property
Step-by-step explanation:
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like
Find the missing side length
Answer:
7 ft
Step-by-step explanation:
16-9=7
Please help lol and thank u
Step-by-step explanation:
The picture shows us that the shape is a square.
To find the area of a square you would use the formula s^2
s= 8ft
8ft^2 = 64ft^2
with area you would need to use the unit ft^2
I hope this helps!!!
Answer: DDDDDDD
Step-by-step explanation: The formula is width x height, so we can use the expression 8 x 8 assuming this is perfectly square. 8 x 8 is 64 square units
Find the value of each trigonometric ratio.
Answer: C
Step-by-step explanation:
u have insta
Answer:
sine = opposite / hypotenuse
sine C = 8 / 15
sine C = .53333333333333
Step-by-step explanation:
answer questions 15 and 16.
Answer:
Step-by-step explanation:
:(
Which expression is equivalent to 2x4y3
What's the Answer for (-8 ) – (- 8 ) =
Harris runs 12 miles in 2 hours at a steady pace. At this same pace, how far can he run in 45 minutes?
Answer:
4,5 miles
Step-by-step explanation:
60*2=120
120/12=10
1 mile every 10 minutes
45/10=4,5
There were 4 students at the football game. They had 6 sodas to share
equally. How much soda did each child get?
Answer:
1.5
Step-by-step explanation:
6/4=3/2
3/2=1 1/2
or
1.5
Answer:
1.5
Step-by-step explanation:
Use the ALEKS calculator to find 62% of 80. Do not round your answer.
Answer:
ok Naruto
Step-by-step explanation:
49.6
whoever’s correct i will make their question as brainliest! :) be quick please
Quadrilateral EFGH was dilated and rotated 90° clockwise about the origin to form quadrilateral EFGH! Which part of quadrilateral EFG'H'is congruent to quadrilateral EFGH?
Answer: It’s angle measures
Step-by-step explanation: iready
Elsie bought a video game for 85$. if the store charges 170% of its cost for the game, how much is the store's profit?
Answer: $59.5
170/100 * 85 = 144.5
144.5 - 85 = 59.5
If that is wrong my next guess is $144.50
Find the length of the radius of the circle.
A)
2 inches
B
B)
3 inches
)
6 inches
D)
8.5 inches
Answer:
C) 6 inches
Step-by-step explanation:
(√72)² = x² + x²
72 = 2x²
72/2 = x²
36 = x²
√36 = √x²
6 = x
x = 6 inches
Answer:
By Pythagoras theorem, we get
[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]
C) 6 inches is the right answer.Pls sum one help me I need it
Answer:
3.9
Step-by-step explanation:
bshwhsbwjwwjusushs
What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
Dan makes several smoothies using 3 4/5 cups blueberries for every 2 2/3 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 5 1/3 cups of strawberries?
Answer:7 3/5
Step-by-step explanation: 3 4/5 blueberries = 2 2/3 strawberries
? blueberries =5 1/3 strawberries
do 3 4/5 times 5 1/3 which gives you 20 4/15.Now divide 20 4/15 by 2 2/3 which gives you 7 72/120 and you can simplify to 7 3/5.
Hope it helps . :)
Answer:
I made this so you can give the other guy brainlyeist.
Step-by-step explanation:
What is 2 to the 400th power factorial?
Step-by-step explanation:
2^400=2^(2×200)
2^(2×200) =[2^(2) ]^200
Now, [2^(2) ]^200=4^200
The power of 2 in 400! is 397.
What is the method of determination of power of prime in Factorial ?Let p is the prime number whose power is to be found
Let n is the factorial number then
p in n! = (n /p) + (n/p²) +(n/p³) + .......
until Numerator < Denominator
and after division only the integer part is taken
Therefore to determine the power of 2 in 400!
2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D
2 in 400! = 200 +100 +50+25+12+6+3+1
2 in 400 = 397
Therefore the power of 2 in 400! is 397.
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A bricklayer's apprentice takes 10 hours longer than the bricklayer to make a fireplace. The apprentice worked alone on a fireplace for 5 hours, after which the bricklayer began to help. It took 2 more hours for them to finish the fireplace. How long would it take the apprentice to make the fireplace on his own?
Answer:
It would take the apprentice 14 hours to make the fireplace on his own.
Step-by-step explanation:
Let x represent the hours it takes the bricklayer to make a fireplace on his own and x + 10 represent the hours it takes the bricklayer's apprentice to make a fireplace on his own.
7/(x + 10) + 2/x = 1
7/(x+10) represents the fraction of the fireplace the bricklayer's apprentice made (total amount of time the bricklayer's apprentice worked on the fireplace/time it takes the bricklayer's apprentice to make a fire place on his own) while 2/x represents the fraction of the fireplace the bricklayer made (total amount of time the bricklayer worked on the fireplace/time it takes the bricklayer to make a fire place on his own). The 1 on the right side of the equation represents the number of fireplaces they made in that time.
Multiply both sides of the equation by x(x + 10) to get rid of the denominators:
x(x + 10)[7/(x + 10) + 2/x] = x(x + 10)1
x(x + 10)[7/(x + 10)] + x(x + 10)(2/x) = x(x + 10)
7x + 2(x + 10) = x² + 10x
7x + 2x + 20 = x² + 10x
Gather all the terms to one side of the equation:
x² + 10x - 7x - 2x - 20 = 0
x² + x - 20 = 0
Factoring the simplified equation:
(x + 5)(x - 4) = 0
Solving for each factor:
When x + 5 = 0,
x = -5
When x - 4 = 0,
x = 4
Since a negative solution wouldn't make sense for this question, it would take the bricklayer 4 hours to complete the fireplace on his own.
Substituting x = 4 into x + 10 to find out how long it would take the apprentice to make the fireplace on his own:
x + 10 = 4 + 10 = 14
Therefore, it would take the apprentice 14 hours to make the fireplace on his own.