AB = 2x + 30, AD = x + 32, CD = 8, and BC = 5. Find x.
Answer:
Step-by-step explanation:
2x + 30 = x + 32
x + 30 = 32
x = 2
2. Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1.260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months?
Answer:
$9,102
Step-by-step explanation:
Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1,260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months
From the question above, we have the following information:
On one fountain that sells for $869 = she gets a commission of $174( the lower-priced fountains)
On the other fountain that sells for $1,260 = she gets $252 ( the higher-priced fountains)
Ingrid sold 19 of the lower-priced fountains)
1 fountain sold = $174 of commission
19 fountains sold =
$174 × 19
= $3,306
She also sold 23 of the higher-priced fountains)
1 higher priced fountains = $252
23 higher priced fountains =
$252 × 23
= $5,796
Hence, the Total commission Ingrid made = Total commission on Lower priced fountains + Total commission on Higher priced fountains
= $3,306 + $5,796
= $9,102
Therefore, the total commission Ingrid made = $9,102
An object is moving at a speed of 3 kilometers every 5 days. Express this speed in yards per hour. Round your answer to the nearest tenth
Answer: 27.3 yards per hour
Step-by-step explanation:
First convert 3 kilometers to yards
3 km to yards is 3280.84
now we have to convert 5 days to hours. If there are 24 hours per day then we will multiply 24 by 5 to determine hours are in 5 days
5 * 24 = 120 hours
Now divide divide 3280.84 by 120 to find the speed in yards per hour
3280.84 / 120 = 27.34 yards per hour
27.34 rounded to the nearest tenth is 27.3
The object is moving at a speed of 2734.025 yards per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 kilometer is 109361 yards and one day is equal to 24 hours.
Given, An object is moving at a speed of 3 kilometers every 5 days.
∴ The object is moving at a speed of (3×109361) = 328083 yards in
(5×24) = 120 hours.
Hence in 1 hour, the object moves (328083/120) yards = 2734.025 yards.
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How is 80.106 written in expanded form?
The expanded form representation of the decimal number given as in the task content is; (8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001).
What is the expanded form of the decimal number as given in the task content?It follows from the task content that the number given is; 80.106.
Hence, the expanded form is;
(8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001)
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An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper.
Answer:
mass of copper in the resulting mixture = 104 grams of pure copper
Percent of the resulting mixture that is copper = 81.25%
Step-by-step explanation:
The complete question is
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper. How many grams of copper are in the resulting mixture? What percent of the resulting mixture is copper?
The original alloy has a mass of 50 grams,
52% of this 50 grams is copper,
mass of copper = 0.52 x 50 = 26 grams
78 grams of pure copper added will bring the mass of copper to..
mass of copper = 26 + 78 = 104 grams of pure copper
After adding 78 grams of copper to the alloy, the resultant mass of the mixture will be = original mass of alloy + mass of the pure copper added
==> 50 + 78 = 128 grams
Percentage of the resulting mixture that is copper = (total mass of copper in the mixture/total mass of mixture x 100%)
==> 104/128 x 100% = 81.25%
what is 21000 take away two thirds
Find the coordinates of
the midpoint of AB with
endpoints A(3,7) and
B(0,2).
Thank you so much!
Answer:
[tex]M=(\frac{3}2},\frac{9}{2})[/tex]
Step-by-step explanation:
The midpoint is given by the formula:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
So we have the two endpoints A(3,7) and B(0,2).
Let's let (3,7) be x₁ and y₁ and let's let (0,2) be x₂ and y₂.
Therefore, our midpoint is:
[tex]M=(\frac{3+0}{2},\frac{7+2}{2})[/tex]
Add:
[tex]M=(\frac{3}2},\frac{9}{2})[/tex]
Or:
[tex]M=(1.5,4.5)[/tex]
And we're done!
Hope this helps!
Answer: (1.5,4.5)
Step-by-step explanation:
For midpoint i have a little cheer to remember the steps it goes," Midpoint, midpoint, what do you do? add them together and divide by two.
so using this problem as an example you would add the y coordinates and the x coordinates and get (3,9) then you divide X and Y by two.
So 3 divided by 2 is 1.5 so that is the X coordinate for the midpoint
and 9 divided by 2 is 4.5 so that is your Y coordinate for the midpoint.
Put it together and your answer is (3.5,4.5)
Point a and point b lie in the coordinate plane what is the midpoint between a (7,-5) and b (9,-1)
Answer:
(-3,8)
Step-by-step explanation:
formula
(y1+y2/2 ,X1+X2/2)
=(-5-1/2 ,7+9/2)
=(-6/2 ,16/2)
=(-3,8)
triangle A’ B’C’ is a dilation of ABC... What is AB?
Answer:
Option C.
Step-by-step explanation:
From the picture attached,
ΔA'B'C' is a dilation of ΔABC which means image ΔA'B'C' is similar to ΔABC.
By the property of similarity corresponding sides of both the triangles will be proportional.
[tex]\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}[/tex]
[tex]\frac{AB}{6}=\frac{15}{10}[/tex]
AB = [tex]\frac{6\times 15}{10}[/tex]
AB = [tex]\frac{90}{10}[/tex]
AB = 9 units
Therefore, length of side AB = 9 units.
Option C. will be the answer.
The product of 5 and the difference of 1 and a number.
Answer:
Simplify.
There's a product, so we are multiplying.
5 x...
The difference of one and a number. The number is a variable, since it could be any number.
1 - x
Let's combine them.
5 x (1 - x)
5(1 - x)
Hope this helped!
Mark this Brainliest, not that it matters.
Good luck :)
How do you simplify it? I know the answer is 6_/6p but I don’t really know *how* to get there.
Answer:
The answer is
[tex]6 \sqrt{6p} [/tex]Step-by-step explanation:
[tex] \sqrt{216p} [/tex]First of all factor out the perfect square
From the question the perfect square is 36
We have
[tex] \sqrt{36 \times 6p} [/tex]The root of a product is equal to the product of the roots of each factor
That's
[tex] \sqrt{36 \times 6p} = \sqrt{36} \times \sqrt{6p} [/tex]Simplify
[tex] \sqrt{36} = 6[/tex]So we have
[tex]6 \times \sqrt{6p} [/tex]We have the final answer as
[tex]6 \sqrt{6p} [/tex]Hope this helps you
Give me a sentence on why you think that culture is the most powerful influence on health.I need this is due right now if you could please be nice and help me I’ll give you brainliest:)
Answer:
Considering that back in the day, we were told that you should not drink a lot of water before exercising, I believe we went a very long way and now it is even encouraged, labels on food and drinks help us figure out what we are consuming and what is better for us, however we make that decision and it is offered to us for much cheaper now considering the dollar value worth today.
I am assuming you mean physical health.
Step-by-step explanation:
7y ^3 −7x^3 +4−5+6−3x^3 +6x^3
Combine Like Terms
Answer:
-4x^3 + 7y^3 + 5
Step-by-step explanation:
7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3 Given
7y^3 - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6 Rearrange
7y^3 - 4x^3 + 5 Combine the like terms
or
-4x^3 + 7y^3 + 5 Answer
perfect squares from 100 to 200
Answer:
121, 144, 169, 196 are the perfect squares from 100 to 200
Given the following functions, find each of the values:
f(x) = x2 + x - 30
g(x) =x- 5
(f + g)(-5)
(f - g)(3) =
(f.g)(-3) =
(f/g) (1) =
Step-by-step explanation:
(F+g) (-5)
={2x+x-30 +(x-5)}(-5)
={4x-35}(-5)
= -20x +175
X=175/20
X=35/4
X=8.75
...........
(f - g)(3)
={x2 + x - 30 - (x- 5)} (3)
= {2x - 25} (3)
=6x-75
X=75/6
X=12.5
..................
(f.g)(-3)
= {(x2 + x - 30). (x- 5)} (-3)
={(3x-30)(x-5)}(-3)
The circumference of a circle is 6n meters. What is the diameters? Explain
Answer:
~1.909859317n
Step-by-step explanation:
Diameter = circumference divided by pi. 6/pi = 1.909859317
Answer:
Step-by-step explanation:
Circumference of a circle = 6π meters
πd = 6π {Here, d is the diameter}
[tex]d=\frac{6\pi }{\pi }[/tex]
d = 6 meters
what is x? 15(x-1)-7(x+9)=4x
Find the width and height of a 54 inch TV with the aspect ratio of 4:3. Then , find the area of the screen. You must draw and label a picture to help show ur work.
Answer:
The area of the screen is 1399.68 in²
Step-by-step explanation:
The given parameters are;
The size of the TV = 54 inch
The aspect ratio of the TV screen = 4:3
The size of the TV is given as the length, of the diagonal, therefore, we have;
The aspect ratio = Length, L:Width, W = 4/3 = L/W
L² + W² = 54²..................(1)
L/W = 4/3.........................(2)
Therefore, 3×L = 4×W
L = 4×W/3
Substituting the value of L in equation (1), we have;
(4×W/3)² + W² = 54²
16/9×W² + W² = 54²
25/9×W² = 54²
W² = 54²×9/25 = 1049.76
W = 32.4 inches
The length, L = 4×W/3 = 4×32.4/3 = 216/5 inches = 43.2 inches
The area of the screen = 43.2 inches × 32.4 inches = 1399.68 in²
The area of the screen = 1399.68 in².
Arrange the following set of decimal numbers in order from smallest to largest.
0.31, 0.409, 0.414, 0.4186
Answer:
Step-by-step explanation:
0.31=0.3100
0.409=0.4090
0.414=0.4140
0.4186
arranging smallest to largest
0.3100,0.4090,0.4140,0.4186
or 0.31,0.409,0.414,0.4186
Asap please help me solve this Inequality?
[tex]3(x + 6) - 2(x + 2) \geqslant 10[/tex]
Answer:
[tex]x\geq -4[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]3(x+6)-2(x+2)\geq 10[/tex]
First, distribute:
[tex](3x+18)+(-2x-4)\geq 10[/tex]
Combine like terms:
[tex](3x-2x)+(18-4)\geq 10[/tex]
Add:
[tex]x+14\geq 10[/tex]
Subtract 22 from both sides:
[tex]x\geq -4[/tex]
And we're done!
100) Last Friday Maria had $19.32. Over the
weekend she received some money for
washing the dog. She now has $35.21.
How much money did she receive?
please help asap!!!
Answer:
she recurved 15.89 over the weekend
Step-by-step explanation:
Answer:15.89
Step-by-step explanation:
35.21-19.32=
15.89
x2 = 16, therefore x = 4. Is this a valid conclusion? If not, give a counterexample. A) YES B) NO; x = 8 C) NO; x = -4 D) NO; x = -8
Answer:
C) No; x = -4
Step-by-step explanation:
i took the quiz
Answer:
the answer is C. No; x= -4
Step-by-step explanation:
i took this answer on the USA test prep...
and make 100%. give me some brainlest plz
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below. x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction What is Tyler’s error? Both powers should be in the numerator with positive exponents. Both powers should be in the denominator with positive exponents. The power x cubed should be in the numerator and the power y Superscript 9 in the denominator. The power y Superscript 9 should be in the numerator and the power x cubed in the denomin
Answer:
i am pretty sure it is a) Both powers should be in the numerator with positive exponents.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A rental company rents a luxury car at a daily rate of $37.51 plus $.25 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles. How many miles can Paul travel on the $120?
Answer: 385 miles
Step-by-step explanation:
$120 - $43.01 = $76.99
$76.99 = 7699 cents
7699/20 = 384.95 miles
So, the business man can travel
385 miles on the $120.
Hope this helps.
:-)
Fill in the blanks below in order to justify whether or not the mapping
shown represents a function.
Set A
Set B
-4
4
ол
The mapping diagram above
va function since
where there
in
Sushmit Answer
Answer:
The mapping diagram above is a function since there are no two values (integers) in the range (Set B) where there is only one value (integer) in the domain (Set A) mapped unto them
Step-by-step explanation:
By definition a function is an association between the individual elements within two sets such that all element in one set is mapped to precisely one element of the other set
In the given example, all the elements in Set A are mapped to exactly one element of the Set B
That is the function from A to B is the set C (-1, -4), (9, 5), (1, 4), whereby the first component of the ordered pair in the set C are the elements of the set A.
The mapping diagram above is a function since there are no two values in set B where there is only one value in Set A mapped to them.
A function has a very unique attribute of having one output attributed to each input. The Set A is the domain while set B denotes the range. Hence, each value in the domain would have exactly one value in the range which would be different for each value in the domain.Therefore, since the mapping diagram illustrates a 1 input to 1 output relationship, then it is a function.
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5(4x−3)−(3x+1)=3(5x+9)+2x
20x - 15 - 3x - 1 = 15x + 27 + 2x
17x - 16 = 17x + 27
17x - 17x = 27 + 16
0 = 43
Since zero is not equal to 43, this equation has no solution.
What is the value of this expression? (−2)^5
Answer:
-32
Step-by-step explanation:
=(-2)^5
=-2*-2*-2*-2*-2-2
-2*-2=4
-2*-2=4
-2
4*4=16
16*-2=-32
Hope this helps :) ❤❤❤
A cube has volume of 7^3 cubic centimeters. What is its surface area
Answer:
294
Step-by-step explanation:
The volume of a cube is calculated by multiplying one
of its equal edge with itself three times which is shown as a^3
If the volume of the given cube is = 7^3 then the edge length is = 7
To find the surface area we we multiply the square of the edge by 6
6 × 7^2 = 294
please answer the everything thank you ! i'll mark the brainlest!!!!! :)
Answer:
1. a. 2 KM ; b. 9000 m
2. a. 9 L ; b. 3000 g
3. a. 6000 ml ; b. 9
4. a. 60 mm ; b. 4000 m
5. a. 1 km ; b. 2 kg
6. a. 5 ; b. 4 m
7. a. 4000 ml ; b. 3000
8. a. 10 kg ; b. 20 mm
9. a. 10 km ; b. 9kg
10. a. 4 kg ; 8 l
Solve: 5^3 a 125 b 25 c 15 d 5
Answer:
Step-by-step explanation:
5^3 = 5 x 5 x 5 = 25 x 5 = 125
answer is a