Answer:
x=9
Step-by-step explanation:
since the triangles are similar, the sides are all in proportion. This means that:
[tex] \frac{uw}{eg} = \frac{uv}{fg} [/tex]
Now we can just sub in the sides:
[tex] \frac{91}{13} = \frac{56}{x - 1} [/tex]
simplify the first fraction
[tex] \frac{7}{1} = \frac{56}{x - 1} [/tex]
Now we can cross multiply
56=7(x-1)
56=7x-7
63=7x
Therefore:
×=9
10. In a recent season, the San Francisco Giants
won 75 out of 162 games. What percent of their
games did they win? Round to the nearest tenth if
necessary.
Using the percentage concept, it is found that the San Francisco Giants won 46.3% of their games.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
The Giants played a total of 162 games, hence b = 162.They won 75 games, hence a = 75.Then:
[tex]P = \frac{75}{162} \times 100\% = 46.3\%[/tex]
The San Francisco Giants won 46.3% of their games.
You can learn more about the percentage concept at https://brainly.com/question/10491646
The temperature is -8 degrees Fahrenheit. The height pressure front increases the temperature to 7 degrees Fahrenheit. By how many degrees did the temperature increase.
(Please show work and explanation)
Answer:
3 dregreess 5 degrees temperature
which system of equation does the graph represent
The area of the Mountain Island Educational State Forest in North Carolina is 3 square miles. What is the area, in square yards, of this forest
The area of the forest in square yards is [tex]9.3 \times 10^6[/tex]
The area of the forest in square miles is given as:
[tex]Area = 3mi^2[/tex]
To convert the area to square yards from square miles, we multiply the area by 3.098 * 10^6.
So, we have:
[tex]Area = 3 \times 3.098 \times 10^6yd^2[/tex]
Evaluate the product
[tex]Area = 9.294 \times 10^6yd^2[/tex]
Approximate
[tex]Area = 9.3 \times 10^6yd^2[/tex]
Hence, the area of the forest in square yards is [tex]9.3 \times 10^6[/tex]
Read more about areas at:
https://brainly.com/question/24487155
Jocelyn gave the cashier $50 to pay for 3 shirts. The cashier gave her $5.03 in change. Each shirt cost the same amount. What is the cost in dollars and cents for each pair of shirts?
Answer:
14.9
Step-by-step explanation:
50-5.03 = 44.97
44.97 ÷ 3 = 14.99
Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl
Answer:
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
Step-by-step explanation:
m is an SI prefix for milli-, meaning 1/1000.
c is an SI prefix for centi-, meaning 1/100.
Expressed in liters, these volumes are ...
0.10 l
0.50 l
1000/1000 l = 1.00 l
10/1000 l = 0.01 l
15/100 l = 0.15 l
In order from smallest to largest, they are ...
0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l
In the original units, the order is ...
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
can anyone pls help?
Answer:
5x+12+x'
_______
2x'-2x-4
'=2
True or false
Plz help
[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]
ANSWER : true
ok done. Thank to me :>
Answer:
True
Step-by-step explanation:
[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]
Students from CAMPA participated in a school fundraiser. The six graders raised $600. The seventh graders raised 35% more than the six graders. The eighth graders raised. 10% less than the seventh graders. What is the total amount the school raised?
Answer:
$2,139 was the total amount the school raised.
Step-by-step explanation:
35% of 600= 210
210+600 = $810
10% of 810= 81
810-81= $729
6th Graders= $600
7th Graders= $810
8th Graders= $729
What is the diameter of circle 0?
Answer:
8
Step-by-step explanation:
diameter is the radius times 2
Pleaseeeee heeeeelp!!!
Answer:
a=35 b=14 c=5
Step-by-step explanation:
a
180-55-90=35
b
b+6=20
b=14
c
4c-6=14
14+6=20
20/4=5
what is the value of x
Answer:
[tex]x=21[/tex]
Step-by-step explanation:
First of all, the two blue angles (i painted on the image) are congruent since opposed to the vertex.
At this point the red angle is a right angle while the green one is 180°. At this point it's a simple system of linear equations:
[tex]\left \{ {{3x+7+y=90} \atop {5y+10+3x+7=180}} \right. \\\left \{ {{3x+y=83} \atop {3x+5y=163}} \right. \\\\15x+5y-3x-5y=415-163 \rightarrow 12x=252 \rightarrow x=21[/tex]
hello please help me
Answer:
I think it is 249 for the first one and the second one i dont know sorry
Step-by-step explanation:
Which inequality below is true?
a. -2>4
b. -4< 2
C. -4> 4
d. -4> -2
Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28
Answer:
64 tea bags for 9.28
Step-by-step explanation:
Simplify the expression. Write your answer as an improper fraction.
-2/3x divided by (-4/9)
Answer:
3/2x
Step-by-step explanation:
−
2
3
x
−
4
9
=
3
2
x
Find the quotient 12÷3/8
Answer:
32
Step-by-step explanation:
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator
Thus, the answer to 12 divided by 3/8 in fraction form is:
96 /3
To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
96 / 3 = 32
The answer is rounded to the nearest two decimal points if necessary.
96/3 can be simplified to 32/1.
32/1 is an improper fraction and should be written as 32.
Hope this helps <3
Answer:32
Step-by-step explanation: 0.375 = 3/8
12/0.375=32
A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.
Answer:
y-9=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-3)
Solve and check answer 3(4-5x)=3(4x+3)
Hey there!
3(4 - 5x) = 3(4x + 3)
3(4) + 3(-5x) = 3(4x) + 3(3)
12 - 15x = 12x + 9
-15x + 12 = 12x + 9
SUBTRACT 12x to BOTH SIDES
-15x + 12 - 12x = 12x + 9 - 12
SIMPLIFY IT!
-27x + 12 = 9
SUBTRACT 12 to BOTH SIDES
-27x + 12 - 12 = 9 - 12
CANCEL out: 12 - 12 because it gives you 0
KEEP: 9 - 12 because it helps solve for the x-value
NEW EQUATION: -27x = 9 - 12
SIMPLIFY IT!
-27x = -3
DIVIDE -27 to BOTH SIDES
-27x/-27 = -3/-27
CANCEL -27/-27 because that gives you 1
KEEP: -3/-27 because it helps solve for the x -value
NEW EQUATION: x = -3/-27
SIMPLIFY IT/REDUCE the FRACTION!
x = 1/9
Therefore, your answer is: x = 1/9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11
A large community college has professors and lecturers. The total number of faculty members is 136. The school reported that they have 6 professors for every 11 lecturers. How many professors does the community college employ?
There are 52 grams of carbs in 1/4 cup of syrup for a particular brand. How many carbs are in 1 tablespoons?
Round your answer to the nearest integer.
There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
There are 52 grams of carbs in 1/4 cup of syrup
Let's assume that the amount of carbs in 1 tablespoon is x.
So,
x = (52 × 4)
x = 208 grams.
To know more about arithmetic operations:
https://brainly.com/question/25277954
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Find a polynomial with the following zeros.
HELPPPP ASAPPP
Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4
Question 1: Four expressions are shown below:
A. 2(4x + 2)
B. 2(3x + 3)
C. 6x + 6
D. 8x + 4
Which two expressions are equivalent to 2(3x + 2 + x)? (5 points)
A and D
B and D
A and C
C and B
Question 2:
Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22?
3
4
5
6
Answers;
Question 1 answer: The first and last option.
Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.
2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.
A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?
Answer:
8/10
Step-by-step explanation:
id hope your have a great day
Answer:
80%
Step-by-step explanation:
80÷100=.8 which is 80%
how would i plot this on a graph??
Step-by-step explanation:
This is in the form of
[tex]h(x) = y[/tex]
in this case, x is 1 and y is 7. So ourbpoint would be (1,7.)
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
27) 115=5(5a-2)
115= 25a-10
125=25a
a=5
28) -72=-x-6(x+5)
-72=-7x-30
-42=-7x
x=6
i did two of them. now i gtg so won't do the rest
A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?
Answer:
each cup would cost $0.52
Step-by-step explanation:
there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52. hope this helped :))
Tell me I got this wrong
What is x, the distance between points S' and S? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units
Answer:
2.5 units
Step-by-step explanation:
I took the test and got this question right
I forgot how I did it but test your luck if you believe me
Answer:
b
Step-by-step explanation: