Find the length of x.
Answer:
x=7
Step-by-step explanation:
The two triangles are similar .
We can use the ratio's of the side to figure out x
2 3.5
-------- = --------------
4 x
Using cross products
2x = 4*3.5
2x=14
Divide each side by 2.
2x/2 = 14/2
x=7
the length of x = 7.
To solve for x using the given ratios of the sides of the two similar triangles, we can follow these steps:
Set up the proportion using the given ratios:
[tex]\[ \frac{2}{4} = \frac{3.5}{x} \][/tex]
Cross multiply:
[tex]\[ 2x = 4 \times 3.5 \][/tex]
Perform the multiplication on the right side:
2x = 14
To solve for x, divide both sides of the equation by 2:
[tex]\[ \frac{2x}{2} = \frac{14}{2} \][/tex]
Simplify both sides:
[tex]\[ x = \frac{14}{2} \][/tex]
Calculate the value:
x = 7
So, x = 7.
Find the length of x.
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. How much interest will Juanita pay? Juanita will pay $ interest
Answer:
The answer is 84
hope this helps :)
Answer:
$84
Step-by-step explanation:
I did it on edg. 2020
I need help on math. ASAP please I am stuck on this homework problem
Answer: white = $13, double = $14
Step-by-step explanation:
Let white chocolate chip dough = x
Let double chocolate chip dough = y
Mary: 3x + 2y = 67
Darryl: -(3x + 4y = 95)
-2y = -28
÷-2 ÷-2
y = 14
3x + 2y = 67
3x + 2(14) = 67
3x + 28 = 67
-28 -28
3x = 39
÷3 ÷3
x = 13
Need some pre-cal help! Will give best answer brainliest
Answer:
f(1) = -3
f(8) =3
f^-1 (5) =2
f^-1 (2) =4
Step-by-step explanation:
f(1) = is the value when x=1 which is -3
f(8) = is the value when x=8 which is 3
f^-1(5) is x value when y=5 so find y=5 in the table and read the x value x=2
f^-1 (2) is the x value when y=2 so find y=2 in the table and read the x value x=4
the measure of the vertex angle of an isosceles triangle is 48°. what is the measure of each base angle?
Answer:
66°
Step-by-step explanation:
the base angles of an isosceles triangle are equal
the sum of the 3 angles in a triangle = 180°
subtract the vertex angle from 180 and divide the result by 2
base angles = 180° - 48° = 132°
base angle = [tex]\frac{132}{2}[/tex] = 66°
Lucy had $9.72 after leaving the game store if she bought a game for $34.79 how much money did she have before she went into the game store?
(Trying to help sister, 4th grade math)
You just add the amount she spent and the amount she had left over to find out how much she had before she went into the game store. So 9.72+34.79 is $44.51. Hopefully this helped her out.
Answer:
Add the amount that is left over to them game money
Step-by-step explanation:
34.79 + 9.72 = 44.51 dollars
She had 44.51 before she went to the game store
Right △ABC has coordinates A(-7, 3), B(-7, 10), and C(-1, 3). The triangle is reflected over the x-axis and then reflected again over the y-axis to create △A'B'C'. Which are the coordinates of vertex A'?
Answer:
Your answer should be point (7,3)
Step-by-step explanation:
Answer:
7,3
Step-by-step explanation:
Find x, using SOHCAHTOA?
Answer:
x = 57.22754579
Step-by-step explanation:
We know cos 63 = adjacent/ hypotenuse
cos 63 = 15 sqrt(3)/x
Multiply each side by x
x cos 63 =15 sqrt( 3 )
Divide each side by cos 63
x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)
x = 15 sqrt(3)/ cos 63
x = 57.22754579
From 6x^2−7xy+8y^2 subtract the sum of x^2−3xy−y^2 and 2x^2+5xy−4y^2
In their last game, the Cowboys scored 10 less than three times the number of points that the Giants scored. If the cowboys scored 41 points, how many points did the Giants score?
The number of points scored by the Giants is 17 points
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of points scored by the Cowboys = C
Let the number of points scored by the Giants = G
The number of points scored by Cowboys C = 41 points
Now , the equation is
The Cowboys scored 10 less than three times the number of points that the Giants scored
So ,
C = 3G - 10
Substituting the values of C and G in the equation , we get
41 = 3G - 10
3G - 10 = 41
Adding 10 on both sides of the equation , we get
3G = 51
Divide by 3 on both sides of the equation , we get
G = 17
Therefore , the value of G is 17 points
Hence , The number of points scored by the Giants is 17 points
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Final answer:
The Giants scored 17 points in the last game.
Explanation:
To find the number of points the Giants scored, we need to set up an equation using the given information. Let's represent the number of points scored by the Giants as 'G'.
According to the problem, the Cowboys scored 10 less than three times the number of points the Giants scored, which can be written as: 3G - 10 = 41. To solve this equation, we can add 10 to both sides: 3G = 51.
Finally, divide both sides by 3 to find the value of G: G = 17.
GEOMETRY PROBABILITY: EXPLAIN PLEASE! BRAINLIEST GIVEN !!
Answer: 18%
There are 1879 people who are in the "graduate" row and "receiving aid" column. This is out of 10730 people total (bottom right corner)
The probability is 1879/10730 = 0.175 approximately which converts to 17.5% which rounds to 18%
simplify the expression 2 square root 20 minus 3 square root 7 minus 2 square root 5 plus 4 square root 63
Answer:
2√5 + 9√7
Step-by-step explanation:
The given expression is
2√20 - 3√7 - 2√5 + 4√63
√20 = √4√5 = 2√5
√63 = √9√7= 3 √7
Now replace the above value with the given expression
2*2√5 - 3√7 -2√5+4*3√7
= 4√5 - 3√7-2√5+12√7
= 4√5 -2√5 - 3√7 +12√7
Simplifying the like terms, we get
= 2√5 + 9√7
Thank you.
The expression 2 sqrt(20) - 3 sqrt(7) - 2 sqrt(5) + 4 sqrt(63) simplifies to 2 sqrt(5) + 9 sqrt(7) after breaking down and combining like radicals.
We start by simplifying each radical. Notice that sqrt(20) can be written as sqrt(4*5), which simplifies to 2sqrt(5). Similarly, sqrt(63) can be written as sqrt(9*7), which simplifies to 3sqrt(7). Therefore, our expression becomes:
2(2sqrt(5)) - 3sqrt(7) - 2sqrt(5) + 4(3sqrt(7)) = 4sqrt(5) - 2sqrt(5) - 3sqrt(7) + 12sqrt(7) = 2sqrt(5) + 9sqrt(7). This gives us the simplified form of the original expression.
Ginger's cat gave birth to a kitten that weighed ounces when it was born. On the day Ginger sold the kitten to its new owner, it weighed ounces. How many ounces did the kitten gain before it went home with its new owner?
Answer:
C. 2 1/8 ounces
Step-by-step explanation:
The kitten gained 2 1/8 ounces, and you can prove it through the following reasoning.
Kitten at birth was 3 3/8 ounces
Gained Weight (WG) was (unknown)
The kitten was 5 1/2 after being sold.
5 1/2 - 3 3/8 = GW (please note that 1/2 is also 4/8, therefore the equation can be represented by 5 4/8 - 3 3/8 = GW
2 1/8 = GW
Answer: The kitten gained 2 1/8 ounces
Step-by-step explanation:
We have to find the difference between the weights of kitten.
5 1/2 - 3 3/8 = weight gained
We solve the compound fraction like this.
5 1/2
2*5+1 = 11
This goes to 11/2
While
3 3/8
8*3+3 = 27
This goes to 27/8
So we subtract 11/2 - 27/8
44 - 27/8
17 / 8
This comes to 2 1/8 ounces.
During which interval did the price decrease at the greatest rate? year: 2000,2002,2003,2005 price: 58,54,50,44,43
Answer:
Step-by-step explanation: I would say the 43 which is 2005.The reason for my answer is because you first write down the years. Then write down the price beside the years. Then you put them in order from greatest to least or least to greatest.Once you find out the least value then find the year that price was in. Hope this helps!!!
Please amrk brainliest
On a given blueprint, 1 inch equals 16 feet. If the dimensions of the bedroom on the blueprint are .75 inches x 1.5 inches, what are the actual measurements
The actual measurements are 12 feet by 24 feet.
What is Scale in map?The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."
The scale of a map is the proportion between the distance shown on paper and the actual distance on the ground.
Given:
1 inch = 16 feet.
Dimension of bedroom on blue print is 0.75 inches x 1.5 inches.
so, the actual dimension of bedroom is
= 0.75 x 16 by 1.5 x 16
= 12 feet by 24 feet.
Hence, the actual measurements are 12 feet by 24 feet.
Learn more about scale map here:
https://brainly.com/question/28822423
#SPJ2
The total cost, including shipping, for ordering five uniforms is $61. The total cost, including shipping, for ordering nine uniforms is $ 105. find the slope.
Answer:39/4
Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.
This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.
Hope this helped.
PLS ANSWER ASAP WILL GIVE BRAINLIEST
The table shows the number of minutes in different numbers of days.
Number of Days 4 7 11
Number of Minutes 5760 10,080 15,840
Which equation expresses the relationship between the number of days, d, and the number of minutes, m?
d = 1440m
m = d + 1440
m=d1440
m = 1440d
Answer:
Last choice
Step-by-step explanation:
Let's assume m is the "y" (dependent variable) and d is the "x" (independent variable) because the number of minutes is larger, and that would make more sense.
5760/4=1440
10080/7=1440
...
Slope is 1440, and it is direct variation
m=1440d
It COULD also be the third choice, but mathematical convention would have us put the coefficient first.
factor the expression using GCF 25+30
Answer:
5(5+6)
Step-by-step explanation:
25+30
Lets factor each expression
25 = 5*5
30 = 5*6
We can factor out a 5
5(5+6)
in a certain city , the hourly wage of workers on temporary employment crontracts is normally distributed. The mean is $15 and the standar deviation is $3. What percentage of temporary workers earn less than $12 per hour?
A) 6%
B) 16%
C) 26%
D) 36%
Answer:
16%
Step-by-step explanation:
The mean is $15 and the standar deviation is $3.
mean = 15 and SD = 3
We need to find percentage less than 12 per hour
P(x<12)= P(x=12)
to find P(x=12) we find z-score
[tex]z= \frac{x-mean}{SD} =\frac{12-15}{3} =-1[/tex]
Now use z-score table . z-score = 0.1587
P(x=12)=0.1587
To get percentage we multiply by 100
0.1587 * 100 = 15.87 = 16%
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem? 2 3 4 5
Answer:
The answer would be 4.8.
Step-by-step explanation:
The reason for it is because you subtract 37.63 - 32.83 and you get 4.8
Answer: 4
Step-by-step explanation: you will need to subtract 37.63 to 32.83, and so it will give you 4.8. since it is asking for an individual number between 2-5, it is reasonable to choose 4 (ideal because the final answer is 4.8.)
Evaluate the expression for x = 3, y=13 , and z = 5.
12x−3y4x−z
Enter your answer in the box.
i would use cymath or photo math
ps im not a bot lol
in question use, 1 kilogram= 2.2 pounds, 1 stone= 14 pounds change 42 kilograms into stones
Answer:
6.6 stone
Step-by-step explanation:
We will use conversions to change kilograms to stones
1 kilogram= 2.2 pounds,
1 stone= 14 pounds
42 kilogram 2.2 lbs 1 stone
--------------- * ------------- * ---------------
1 kg 14 lbs
All the units cancel except stone
(42*2.2)/14 stone
6.6 stone
Answer:
42 kilograms is equal to 6.6 stones.
Step-by-step explanation:
Given :
1 kilogram = 2.2 pounds
1 stone = 14 pounds
42 kilograms into stones = ? stones
Solution:
42 kilograms = [tex]42\times 2.2 pounds=92.4 pounds[/tex]
And , 1 stone = 14 pounds
[tex]1 pound = \frac{1}{14} stones[/tex]
[tex]92.4 pounds=92.4\times \frac{1}{14} stones=6.6 stones[/tex]
So, 42 kilograms is equal to 6.6 stones.
what is 4 percent of 320
Answer:
Alright well simplify the expression
which gives u 12.8 Hope this help's Have a nice day :)
Step-by-step explanation:
If u want i can explain with detail
I don’t get what this is. Does anyone else?
Answer:
Step-by-step explanation:
If the lines are parallel, then angles 1, 7, 3, and 5 are congruent because they are vertical/corresponding angles.
Therefore, they are all 113 degrees. For the rest of them, you just subtract from 180 to get 67. Therefore,
2 = 67 degrees
3 = 113 degrees
4 = 67 degrees
5 = 113 degrees
6 = 67 degrees
7 = 113 degrees
8 = 67 degrees
log(base 6)6+log(base 6)(x-5)=log( base 6)6
Answer: 6
Step-by-step explanation:
NOTE: log₆6 = 1
log₆6 + log₆(x - 5) = log₆6
1 + log₆(x - 5) = 1
log₆(x - 5) = 0
x - 5 = 6⁰
x - 5 = 1
x = 6
Express the partial sums ( sn) of the following geometric series recursively (Remember all three parts): 3 + 6 + 12 + 24 + ...
4 glue sticks cost 7.76$.what equation would help determine he cost of 13glue sticks
Answer:
25.22
Step-by-step explanation:
7.76/4 and then after the unit rate you multipy it by 13
Answer:
13 glue sticks cost $25.22
Step-by-step explanation:
We can use ratio's to solve this problem. We put price over number of sticks.
$7.76 x dollars
------------- = ---------------
4 sticks 13 sticks
Using cross products
7.76 * 13 = 4 * x
100.88 =4x
Divide each side by 4
100.88 /4 = 4x/4
$25.22 =x
What is the selling cost of a jacket that the store buys for $60 if the markup is 12%?
Answer:
$67.20
Step-by-step explanation:
We need to find out how much 1% costs so we can multiply that cost by 12 because it goes up 12%.
60/100=0.6
0.6*12=7.2
Now that we have the markup amount we add it to the actual price of $60 so
60+7.2=$60.20
After an outbreak of a mysterious disease the average wait time at a hospital increased by 70%. Before the outbreak, the average wait time at the hospital with M minutes. Which of the following expressions could represent the average time at the hospital after the outbreak? Choose two answers:
Answer:
[tex]\frac{170}{100}m[/tex]
[tex]1.7m[/tex]
Step-by-step explanation:
Here,
Before the outbreak, the average wait time at the hospital was m minutes,
Also, after outbreak it is increased by 70 %,
So, the average wait time at the hospital after the outbreak = The average wait time before outbreak + 70 % of the average wait time before outbreak
= m + 70 % of m
[tex]=m+\frac{70m}{100}[/tex]
[tex]=\frac{100m+70m}{100}[/tex]
[tex]=\frac{170m}{100}[/tex]
[tex]=1.7m[/tex]
Hence, the expressions could represent the average time at the hospital after the outbreak would be,
[tex]\frac{170}{100}m[/tex]
[tex]1.7m[/tex]
PLEASEE HELPPPPP
To solve the system of linear equations 3x-2y=4 and 9x-6y=12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3x-2y=4 and 9x-6y=12 with his graphing calculator, but he could only see one line. Why is this?
A.because the system of equations actually has only one solution
B.because the system of equations actually has no solution
C.because the graphs of the two equations overlap each other
D.because the graph of one of the equations does not exist
The coefficients and constants of the equations are proportional to each other because the graphs of the two equations overlap each other.
The correct option is C.
When Henry multiplied the first equation by -3 and added the two equations together, resulting in the equation 0 = 0, it indicated that the two original equations were dependent and represented the same line. This means that the system of equations has infinitely many solutions. Each point on the line represented by the equations satisfies both equations simultaneously.
When Henry graphed the equations on his graphing calculator and saw only one line, it further confirmed that the two equations are identical or overlapping. The lack of a visible second line indicates that the graphs coincide with each other, overlapping perfectly. This occurs because the coefficients and constants of the equations are proportional to each other, resulting in the same line when graphed.
Hence, option C is the correct choice, as the overlapping of the graphs confirms that the system of equations has infinitely many solutions.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ2