Answer:
x=5
Step-by-step
5x+2(2x+3)=51
5x+4x+6=51
9x+6=51
9x=45
x=5
Find the area of the following shapes
Answer:
Area = 114 m2
Step-by-step explanation:
Area of the Figure = Area of Rectangle ABCD - Area of Rectangle HGFE
Area of the Figure = 12*14 - 9*6 = 168 - 54 = 114
Identify a value of k that transforms f into g, where g(x) = f(x) + k.
Answer:
The transformation that maps f into g is a translation transformation,
involving the addition of k to the value of f(x).
The value of k that transforms f into g is; k = -5
Reasons:
Points on the graph of g(x) are; (0, -3) and (0, 1)
The equation of g(x) is; y - (-3) = 4·x, which gives;
y = 4·x - 3
The y-intercept = -3
Points on the graph of f(x) are; (-1 -2) and (0, 2)
The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;
y = 4·x + 4 - 2 = 4·x + 2
The y-intercept = 2
The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)
The difference or the transformation that takes the y-intercept of f(x) to the
y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5
Therefore, k = -5
Which gives;
g(x) = f(x) - 5
The value of k that transforms f into g is; k = -5
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Pencils: $3 Sale: 50% off What is the new cost of the pencils?
Answer:
$1.50
Step-by-step explanation:
50% is one half. and one half of $3 is $1.50.
please give brainliest!!
A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/40 of an hour. What is Elena's running speed? Include the unit of measure.
Answer:
5 miles/ hour please mark brainlist dont have to tho lol
Step-by-step explanation:
Suppose you buy a 6 percent corporate bond. The face value of the bond is $5,000, but you buy the bond at 92. What is the yield on this bond? (Calculate to one decimal place.)
Based on the coupon rate on this corporate bond and the face value, the yield on the bond is 15.2%.
What is the yield on this bond?The number of periods is missing so we shall assume a maturity period of one year.
The rate can be found using an Excel worksheet or a financial calculator.
Using an Excel worksheet, the relevant function is the RATE function and the following details will be needed:
Nper = 1 year
Pmt = 6% x 5,000
= $300
Pv = (5,000 * 0.92)
= $4,600
Pv = -4600 because it should be negative.
Fv = $5,000
The yield you will get is 15.2% as shown in the attached image.
Find out more on bond yields at https://brainly.com/question/7967102.
A parallel line has a y-intercept of 12.
Write down the equation of this line.
Answer:
Using the equation form y = MX + b where a is the slope of the line and b is the y-intercept.
The line that is parallel this the line with equation 5x + y = 11 will have the SAME SLOPE as this line BUT the y-intercept will be -8 (as stated in the problem.)
Rewrite 5x + y = 11 to the standard form to yield the slope of that line.
So 5x + y = 11 becomes y = -5x + 11 where the slope is -5.
So the equation of the line that you want is then...y = -5x - 8. It satisfies both conditions.
Hope this helps!Brainliest pls!Helppp pleaseeeeeeeee
Answer:
Step-by-step explanation:
I wish I could help you but I’m only in elementary
Answer:
Surface Area = [tex]530yd^2[/tex]
Step-by-step explanation:
*This answer is for the problem on the left that seems unanswered*
Firstly, you must understand that the surface area of an irregular polygon like the one in the problem must be found by dividing its faces into rectangles and finding the sum of the areas of those rectangles.
Another way to say this is that the surface areas of these solids can be found by adding up the areas of the rectangles that make their faces.
You will see that I attached a picture that divides the solid's faces into subsections, labelled a through i, including faces that are not visible in the diagram.
If you divided the solid's faces in the same way as the picture, the surface area is found as follows:
[tex]Area_A=12*7=84yd^2\\Area_B=12*4=48yd^2\\Area_C=12*4=48yd^2\\Area_D=4*4=16yd^2\\Area_E=11*3=33yd^2\\Area_F=12*3=36yd^2\\Area_G(notVisible)=12*11=132yd^2\\Area_H(notVisible)=12*7=84yd^2\\Area_I(notVisible)=Area_E+Area_D=33+16=49yd^2[/tex]
By the way, [tex]yd^{2}[/tex] is the same as "square yards".
After finding the areas of each rectangle, add them all up to get your final answer:
[tex]SurfaceArea=530yd^2[/tex]
what is the square root of 18.3
Answer:
The square root of 18.3 would be: 4.27784992724
Step-by-step explanation:
The figure below is an isosceles trapezoid. If m∠K=73, find the missing angle
Answer:
L 107°
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please help! i will give brainliest!
Answer:
10.=138,037.5311
Step-by-step explanation:
the first year=26000
2nd year_100%=26000
103%=?
=26780
3rd=27583.4
4th=28410.902
5th=29263.22906
total=138,037.5311
Cody used more than 5 times as many beads as his sister to make jewelry. His sister used 40 beads.
Which inequality represents all possible values of c, the number of beads Cody used to make jewelry?
A c < 200
B c > 45
C c < 45
D c > 200
Answer:
d is the answer to the question
If <2 and <3 are supplementary angles, and measure of <3 = 170°; find the measure of <2.
Answer:
<2=10
Step-by-step explanation:
because if they are supplementary, they are on the same line, and a line is 180-degrees so 180-170=10-degrees which is angle 2.
What is the initial value of the exponential function
shown on the graph?
0
1
2
4
Answer:
Option C is correctThe initial value of the exponential function shown on the graph is, 2Step-by-step explanation:A function is a mathematical relation in which we input values of a domain that generate output values of a range. Initial value of a function is the output value of the function when the input value is 0.As shown in the graph: the exponential function cut through the point (0,2) , where y=2 when x=0.therefore, the initial value of the given exponential function shown on the graph is, 2.
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
c
Step-by-step explanation: because I know trust me ;)
70 Points+Brainliest for a good answer! Need help to finish homework for 7th-grade math! Only helpful answers or I will delete and report! Thanks <3
Answer:
L = 2.25 feet.
Step-by-step explanation:
My work is shown in the attached image! Let me know if there are any errors or if you have any questions. Best wishes.
find the value of x I ready
Answer:
the x is not a value yet
Step-by-step explanation:
butt the x is called a variablethe price of a coffee increases to £3.37 by 7%. how much was it for a coffee before the increase?
Answer:
£3.15 (nearest pence)
Step-by-step explanation:
If the price of a coffee has increased by 7% then the final price of the coffee is: 100% + 7% = 107% of the original price.
Therefore, to find the original price of the coffee:
original price ÷ 107 × 100
= 3.37 ÷ 107 × 100
= £3.15 (nearest pence)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
A
Step-by-step explanation:
Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.
17/5 = 3 with remainder of 2
so it will be 3 -2/5
In a group of 31 students, 7 study both Art and Biology.
14 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
7/10 or 0.7 or 70%
Step-by-step explanation:
I would use a venn diagram, and fill it in! Then there are 7 do A &B and 3 who just do A. That as a probaility, your answer!
Identify the type of the pairs of angles.
∠3 and ∠5
∠1 and ∠8
∠2 and ∠6
∠1 and ∠4
∠4 and ∠5
Answer:
I will need a photo to answer this
Step-by-step explanation:
Kindly, please upload a photo, TQ!
The average cost in China of an imported Volkswagen is the equivalent of $24,000. How much is that in yuan?
Answer:
24 x61=74.000Step-by-step explanation:
if you take it by the first number then you will divide the firsts to the nearest number that applies the first number
The convert rate is $1 = 6.35 yuan.
-> $24000 = 6.35 x 24000 = 152400 yuan (152481.60)
Barbara used the distributive property to write an expression that is equivalent to 7 d 63. Her work is shown below. The greatest common factor is 7 so 7 d 63 = 7 (d 63) What was Barbara’s error? Barbara wrote (d 63) instead of 63 d). Barbara wrote (d 63) instead of (d 9). Barbara wrote (d 63) instead of (d 56). Barbara wrote (d 63) instead of (10 d).
The error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).
What is Distributive property?The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).
x(a+b) = xa + xb,
The expression which is equal to the expression 7d+63 can be written as,
[tex]7d+63\\\\=7(d+9)[/tex]
Hence, the error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).
Learn more about Distributive property:
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Answer:
Step-by-step explanation:
wrote (d 63) instead of (d 9). Barbara
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)
(18, −2)
(18, 2)
(15, −2)
(15, 2)
Answer: (18,2)
Step-by-step explanation:
What is Cos(180) ? I started this in precal and need help with it still
Answer:
The value of cos 180 is equal to -1
byjuscom
A money jar contains only quarters and dimes. The ratio of quarters to dimes in a money jar is 2:7. How many dimes are in the money jar if there are 63 total coins?
A 14
B 18
C 49
D 54
BA=5 AC=3 What is the length of side BD? If needed, write your answer as a simplified fraction using the form a/b. units
Answer:
4
Step-by-step explanation:
a²+b²=c²
|BD|²+|AC|²=|AB|²
|BD|²+3²=5²
|BD|²+9=25
|BD|²=25-9
|BD|²=16
then you root both sides
therefore |BD|=4
HELPPPPPPPPPPPP!!!!!!
Answer:
a
Step-by-step explanation:
x+y=7
y=-x+7
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. Z = StartFraction x overbar minus mu Over (StartFraction sigma Over StartRoot n EndRoot EndFraction) EndFraction To the nearest hundredth, the z-statistic is z =.
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
What is standard deviation?Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value
Here given that
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes
mean=μ=60
standard deviation=σ=15.9
number of sample=n=40
[tex]\bar{x}=63 \\[/tex]
Now we can calculate z by z-score formula as
[tex]z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}[/tex]
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
To learn more about standard deviation visit :https://brainly.com/question/12402189
Answer:
1.19
Step-by-step explanation:
HELP, URGENT!!!!!!!!!!!
Question: Quadrilateral GABE is a square. Assume that point A is the centre of the circle. If the circumference (perimeter of a circle) is 201 ft., find AE.
Solution:
πd = C
πd = 201
3.14(d) = 201
diameter = 64.01
radius is half of the diameter.
radius = 64.01/2
radius = 32
GA = 32
As its sqaure, all sides are equal
GA = AB = GE = EB = 32
using Pythagoras theorem:
32² + 32² = AE²
AE = √2048.8
AE = 45.3 ft
Answer:
Step-by-step explanation:
C = πd = 2πr
201 = 2*3.14*AB
AB = 201 / (2*3.14) = 32
AE is the diagonal of square ABEG
Using Pythagoras theorem,
AE^2 = AB^2 + BE^2 = 2*AB^2
AE^2 = 2*32^2
AE = sqrt(2*32^2)
= 45.255
= 45.3 ft
5. Julie has taken 5 tests in science this
semester. On the first three tests, her
mean score was 70%. On the last two
tests, her mean score was 90%. What
is the mean of all five scores?
Answer:
83.333333333
Step-by-step explanation:
add 70+90+90=250/3= 83.3333333
A movie theater offers a reward program that charges a yearly membership fee and a discounted rate per movie ticket. The total cost for a reward program member to see 5 movies is $40 and the total cost for 12 movies is $75. Assume the relationship is linear. Write the equation of the function in the form y=mx+b , where x represents the number of movies and y represents the total cost.
Hint: Treat this information like ordered pairs. (5, 40) and (12, 75)
Answer:
[tex]y=5x+15[/tex]
Step-by-step explanation:
Since this situation is a linear relationship between the number of movies and the total cost, we need to determine the slope of the line given our two ordered pairs [tex](x_1,y_1)\rightarrow(5,40)[/tex] and [tex](x_2,y_2)\rightarrow(12,75)[/tex]:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{75-40}{12-5}\\ \\m=\frac{35}{7}\\ \\m=5[/tex]
Thus, our equation so far is [tex]y=5x+b[/tex]. Next, we need to find our y-intercept, [tex]b[/tex], which represents our flat fee. We do so by using one of our original given ordered pairs:
[tex]y=5x+b\\\\40=5(5)+b\\\\40=25+b\\\\15=b[/tex]
Therefore, our final equation for the function is [tex]y=5x+15[/tex]