Answer:
[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]
Step-by-step explanation:
Given
[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]
[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]
[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]
Required
Which illustrates distributive property of multiplication over addition
The property states that:
[tex]a(b + c) = a * b + a * c[/tex]
By comparison
[tex]a = 2\ b = 7\ c = 8[/tex]
So, we have"
[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]
[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]
The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) ≠
Answer:
[tex](a,b) \ne (7,-9)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = ax + b[/tex]
[tex]Interval = [0,4][/tex]
[tex]Area = 16[/tex]
Required
[tex]a, b \ne[/tex]
The area is calculated as:
[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]
So, we have:
[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]
Integrate
[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]
Expand
[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]
[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]
[tex]Area = 8a+ 4b[/tex]
This gives:
[tex]8a + 4b = 16[/tex]
Divide through by 4
[tex]2a + b = 4[/tex]
From the list of options, the possible values of a and b are:
[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]
[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]
[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]
[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]
The odd one is:
[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]
Hence:
[tex](a,b) \ne (7,-9)[/tex]
Define Sustainable development.
Answer:
economic development that is conducted without depletion of natural resources.
Step-by-step explanation:
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
square root 33 units
square root 65 units
33 units
65 units
By applying Pythagoras theorem,we get
(hypotenuse)^2=(base)^2+(perpendicular)^2
=>(h)^2=(7)^2+(4)^2
=>(h)^2=49+16
=>(h)^2=65
=>h=√65
Therefore, option B is correct,i.e.,√65
Answer:
Square root of 65 units
Step-by-step explanation:
This is the correct answer
[tex]\sqrt{56x^2}[/tex]
Answer:
2( the thingy and inside) 14x
If you conducted a survey on the distribution of M & M colors in 20 packages chosen at random, what type of graph would be best for displaying your results and why?
Answer:
A bar graph is the best graph to use
what os the quotient of -8x^6/4x^-3
Answer:
-2x^9
Step-by-step explanation:
-2x^6-(-3) = -2x^9
You randomly choose one of the tiles and flip the coin. Find the probability of the compound event. The probability of choosing a blue tile and tails
Answer:
2/7
Step-by-step explanation:
The probability of getting tails is 1/2 or 50%;
There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.
Multiply the fractions:
1/2*4/7= 4/14 or 2/7
Billy sells hot apple cider at the Hendersonville Apple Festival each year. For a batch of cider that makes 25 servings, Billy uses 2 tablespoons of cinnamon.
How much cinnamon is in each serving of cider?
Answer:
2/25
we need to divide the amount of cinnamon with in the 25 servings to see how much each serving contains
1) distribute 2 tbs into 25 serving
2)equation will be 2/25
3)answer should be 2/25
Step-by-step explanation:
Answer:
2/25 tablespoons
Hope this helps:)
Stephen was thinking of a number. Stephen adds 2, then divides by 7 to get an answer of 11. What was the original number?
Answer:
75
Step-by-step explanation:
Let x = number thought of
(x + 2) / 7 = 11
multiply both sides of the equation by 7
11 x 7 = x+ 2
collect like terms
77 - 2 = x
x = 75
What is the surface area of the pyramid?
Answer:
56 inches squared
Step-by-step explanation:
(4x6) ÷ 2 = 12
12 x 4 = 48
4 x 4 = 16
48 + 16 = 56
A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
36.80
Step-by-step explanation:
261 x .141 = 36.801
find simple interest
Rs.6500 for 2years 3months at
6percent per annum
find simple interest
Rs.6500 for 2years 3months at
6percent per annum
Solution :To find the simple interest , We'd use the following formula:-
P×R×T/100P= 6500R=62.25 (2 years+ 3 month).°.
S.I = 65×13.5
S.I = Rs.877.50
Hope it helps
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On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
a shop sells 3 types of boots ( football , rugby and hiking) sales are usually in the ratio of 6 : 2 : 3 last month , 24 pairs of boots were sold . How many boots altogether last moth
Answer:
44
Step-by-step explanation:
First, let's sum up the ratio.
Sum the ratios = 6 + 2 + 3 = 11
We can make y the total number of boots sold together last month
If 24 pairs of boots were sold, then the equation would be
6/11 × y = 24
Cross multiply
6 × y = 24 × 11
6y = 264
y = 44
Therefore, total number of boots sold altogether last month were 44
i need help with this problem
Answer:
evaluate parenthesis first:
67/100(consider 67% out of 100) x 119 = 79.73
Answer:
79.73
Step-by-step explanation:
First, it would be finding 67% of 119
Then we find 10% = 11.9 and 1% = 1.19
The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33
Then add 71.4 and 8.33 to get the answer of 79.73.
Triangle ADE is proportional to Triangle ABC. Given the side lengths in the diagrams, what is the length of AD?
Group of answer choices
11 in
6 in
8.75 in
8 in
Answer:
11 inches is your answer sorry if i am wrong i hope this helps
Step-by-step explanation:
Help me please ! Please
Answer:
maybe 36
Step-by-step explanation:
3 shirts 4 pants 3 shoes it maybe 3*4*3
how many students were surveyed, how many students ate lunch, how many students ate lunch and breakfast, What percent of the students ate lunch and skipped breakfast, What percent of the students ate breakfast. please help
Answer:
Look its easy 75% when to eat lunch and the 25% skipped because if they were a large amount of them it must be 75% ur welcome
Step-by-step explanation:
Which kind of chart/graph should be used
to represent a turtle's movement over the
course of an hour?
A. bar graph
B. pie chart
C. line graph
D. pictograph
**Will mark brainliest**
Find the Volume of the Cylinder. Use 3.14 for pi. Round your answer to the nearest whole number.
Answer:
V≈67958.90
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]V=\pi r^{2}h\\V=\pi *26^{2} *32[/tex]
Simplify.
16 3/8 - 6 7/8
What is the area 15mm 10mm
Answer:
15mm x 10mm = 150mm
Step-by-step explanation:
Which number line represents the inequality? 34>x
Answer:
op 2
Step-by-step explanation:
the Answer is b
hope this helps
What is the equation of the line with a slope of 1/4 and y-intercept of -2?
Answer:
y=1/4x+2
Step-by-step explanation:
The formula is y=mx+b, where m is the slope and b is the y-intercept
1. Jim's vegetable garden looks like this
quadrilateral.
T
2. Which kind of triangle has
no congruent sides?
A equilateral
B horizontal
c isosceles
D scalene
What type of quadrilateral is it?
A trapezoid
B square
c rhombus
D rectangle
John is putting a fence around his garden that is shaped like a half circle and a rectangle.How much fencing will John need? Use for .32 ft39 ft46 ft57 ft
Answer:
The perimeter of the garden = 46 ft
Step-by-step explanation:
The exact question is as follows :
Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.
A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.
To find - How much fencing will John need? Use 22 over 7 for Pi.
A. 32 ft
B. 39 ft
C. 46 ft
D. 57 ft
Solution -
The figure is as follows :
The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle
Now,
Given that,
Length of Rectangle = 14 feet
Breadth of Rectangle = 7 feet
Now,
Sum of three sides of Rectangle = 14 + 14 + 7
= 35
Now,
Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter
So,
Circumference of Semicircle = (1/2)(22/7)(7)
= 11
⇒Circumference of Semicircle = 11
So,
The perimeter of the garden = 35 + 11
= 46 ft
⇒The perimeter of the garden = 46 ft
3+(-4)-8(-1) can you help me
Answer:
7
Step-by-step explanation:
Factor the Expression Completely: -14a+56b+84c-28a+42
Answer:
14(−3a+4b+6c+3) is the answer
i need an ace to help me with math
Answer:
ace
Step-by-step explanation:
Find the area and circumference of the circle.
B
4. Area =
5. Circumference
Answer:
Area: 200.96
Circumference: 50.24
Step-by-step explanation:
We know r (radius)=8
A=πr^2
A=π8^2
A=64π or 200.96
C=2πr
C=2π(8)
C=16π or 50.24