Answers
Answer:
154 square units
Step-by-step explanation:
To find the area of a trapezoid, we need to: [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!
Related Questions
A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?
Answers
Answer:
x=5
Step-by-step explanation:
5+2=7
5+8=13
13*7=91
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x [tex]\neq \\[/tex] -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
How do I solve this equation:
-5(n-1)=7(n+3)
Answers
First, distribute the 5 in the first parentheses.
-5n+ 5 = 7(n+3)
Next, distribute the 7 in the second set of parentheses.
-5n + 5 = 7n + 21
Subtract 7n from both sides.
-5n + 5 -7n = 21
Subtract 5 from both sides.
-5n - 7n = 21 + 5
Collect like terms.
-12n = 16
Divide both sides by -12
Answer -3/4
Answer:
-3/4
Step-by-step explanation:
The First step is to distribute the 7 in the second part of parentheses.
-5+5-7n=21
-5-7n=21+5
Then collect the terms
-12n=16
Lastly distribute both sides by -12
And the answer is -3/4
What is the percent of increase for a population that changed from 25000 to 30000
Answers
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The population changed from 25,000 to 30,000. Then the percentage is calculated as,
P = [(30,000 - 25,000) / 25,000] x 100
P = (5,000 / 25,000) x 100
P = 0.20 x 100
P = 20%
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
More about the percentage link is given below.
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Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answers
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
Which is the approximate solution for the system of equations
8x-10y=-28 and 9x+10y=-16?
A(-2.3, 0.5)
B(-2.5, 1)
C(-2.3, 0.5)
D(-2.5, -1)
Answers
Step-by-step explanation:
work is shown and pictured
8.) Mrs. Ruiz bought six 2-liter bottles of juice. How many dekaliters of juice
did she buy?
a.) 0,012 dekaliter
b.) 0.12 dekaliter
c.) 1,2 dekaliters
d.) 120 dekaliters
Answers
Find the length of AB
Give your answer to 1 decimal place
Answers
Answer: 6.452cm.
As 1 decimal place it would be 6.5cm.
Answer:
6.9 cm
Step-by-step explanation:
a^2 + b^2 =C^2
a^2 + b^2 = 8^2
6.9^2 +4^2 =64
47.61 + 16 = 64
47.61 about 48
Which of the following represents 4x 3 in exponential form?
Answers
Answer:
4x3 in exponential from is: (3) (3) (3) (3)
Step-by-step explanation:
As you can see, there are 4 groups of 3. It can also be the other way around.
3x4 = (4) (4) (4) There are 3 groups of 4
hope this helped :3
Answer:
4x3 in exponential form is 3*3*3*3
Step-by-step explanation:
The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46
Answers
Answer:
C
Step-by-step explanation:
Its C
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)
Answers
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.
Chantal is making a relative frequency table from this data.
What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?
Divide 239 by 609.
Subtract 185 from 609, then divide by 609.
Divide 185 by 609.
Add 239 to 609, then divide by 609.
Answers
Answer:
C
Step-by-step explanation:
I think the answer is C,
since to find the relative frequency, you divide the specific frequency
(in this case people over 30 who prefer ocean swimming, 185 people)
by the # of values total
(all values recorded, which in this case is the 609 peoples' surveys)
so, divide 185 by 609, which is C
solve for y please !
Answers
Answer:3
Step-by-step explanation:
HELP ASAP PLEASE need help
Answers
Answer:
4.10
Step-by-step explanation:
Cos 35 = AC/5
AC = 4.096
to the nearest hundredth
AC= 4.10
Answer:
AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5
What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)
Answers
Answer:
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
Step-by-step explanation:
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
:)
The vertices of the triangle after rotation are:-
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).
To know more about translation follow
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17. Five time as many girls as boys went to the dance. The total of 120 students went to
the dance.
a. If b represents the number of boys and g represents the number of girls, use
the numbers, variables, and symbols shown below to construct a system of
equations to model this situation. Some of the numbers, variables, and
operations will be used more than once and some will not be used at all.
b
g
+
10
3
4
1
5
120
2.
Answers
Answer:
[tex]b+g=120[/tex]
[tex]b+5b=120[/tex]
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
[tex]b+g=120[/tex]
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
[tex]g=5b\\[/tex]
Insert it in the previous equation to get
[tex]b+5b=120[/tex]
Which equation matches these solutions? x = 5, -7
Group of answer choices
(x + 5)(x + 7)=0
(x + 5)(x - 7)=0
(x - 5)(x + 7)=0
(x - 5)(x - 7)=0
Answers
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
The answer is the first one
One-fourth of a certain number is removed from two- fifth of that number. if the result is 3, find the number.
Please Help It due soon.
Answers
Answer:
the answer is 20
Step-by-step explanation:
let the number be "x"
1st part = 2/5of x
2nd part = 1/4 of x
=) 2/5 x - 1/4 x = 3
=) lcm of 4 ,5 is 20
=) ( 2x * 4 ) - ( 1x *5) by 20 =3
=) 8x - 5x / 20 =3
=) 3x / 20 =3
=) 3x = 3 *20
=) 3x = 60
=) x = 60 /3
=) x = 20
the number is 20
Answer: 20
Step-by-step explanation:
2/5x -1/4x = 60
Multiply by 20 on both sides,
8x - 5x = 60
3x = 60
x = 60/3 = 20
Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.
Answers
Answer:
The relationship is not proportional.
Step-by-step explanation:
To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.
y/x=c.o.p
c.o.p=constant of proportionality.
the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.
will mark bianleast
Find the mean of the data in this set.
9.4
6
8.5
8
Answers
Answer:
The mean is 7.975.
Step-by-step explanation:
Answer:
The correct answer is 9.4, Hope this helps!
Step-by-step explanation:
I took the test and this was the correct answer!
Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions
Answers
Answer:
1) f(-10)f(x) = x²
f(-10) = (-10)²
f(-10) = 100
2) f(-7)
f(x) = x²
f(-7) = (-7)²
f(-7) = 49
3) f(-5)
f(x) = x³
f(-5) = (-5)³
f(-5) = -125
4) f(-3)f(x) = x³
f(-3) = (-3)³
f(-3) = -27
5) f(0)f(x) = √x
f(0) = √0
f(0) = 0
6) f(2)f(x) = √x
f(2) = √2
f(2) = 1.414
7) f(5)f(x) = 1/x
f(5) = 1/5
f(5) = 0.2
8) f(7)f(x) = 1/x
f(7) = 1/7
f(7) = 0.143
9) f(10)FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION
write a^4*a^2 without exponents
Answers
Answer:
a x a x a x a x a x a
Step-by-step explanation:
a^4 x a^2
a x a x a x a times a x a
= a^6 or a x a x a x a x a x a
Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5
Answers
Answer:
A, D, C, B.
5/9, 3/5, 2/3, 3/4.
Step-by-step explanation:
Covert to decimals:
5/9 = 0.555...
3/4 = 0.75
2/3 = 0.666...
3/5 = 0.6
So it is 5/9, 3/5, 2/3, 3/4.
Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:
A)
(–1,–4)
B)
(1,–4)
C)
(–1,4)
D)
(–4,–1)
Answers
Answer:
c
Step-by-step explanation:
What is the factored form of x2 - 9x + 20?
Answers
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.
Answers
Answer:
1. b=√56
Step-by-step explanation:
1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²
which equals 169+b²=225 subtract 169 from both sides and we get b²=56
square root both sides and we get b=√56
A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answers
Answer:
3 stacks of 4 reams= 12 reams
Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.
First option is 5+5= 2 stacks of 5/5 reams.
2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box
Second option is 2+3+3+2 = 4 stacks of 2/3/3/2 reams
Third option is 3+4+3= 3 stacks of 3/4/3 reams
What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.
Answers
Answer:
90
Step-by-step explanation:
multiply 83 by .07 equals 5
then add 83 + 5= 88 rounded to nearest tenth = 90
Solve the following systems of equations using the substitution method. What is the value of a? 3a-5b=10 a+7b=12 A) a=5 B) a=6 C) a=1 D) a=7
Answers
Answer:
a=5
Step-by-step explanation:
3a-5b=10
a+7b=12
multiply the second row with -3
-3a-21b=-36 now we gonna add this to the first row
3a-5b=10
_________+
-26b=-26 b=1 now we gonna put in one of the equations to find a
a+7b=12
a+7.1=12 a=5
Answer:
i hope its clear . the answer is a = 5
The answer ;))))))))
Answers
Answer: option C: A1 = 50.3 in2; A2 = 113.1 in2; A3 = 176.7 in2
Step-by-step explanation: Please see the image below!
The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43
Answers
Answer: the answer is A
Step-by-step explanation:
1st:subtract 42-14=28(the difference)
2nd: divide 42÷14=3
