You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.
Answers
Answer:
x=[tex]\frac{1}{2}[/tex] ft
Step-by-step explanation:
Please see the attached image
(5+2x)(3+2x)=24 - solve for x
15+10x+6x+4x^2=24
4x^2+16x+15=24
4x^2+16x-9=0
Use quadratic formula
[tex]x=\frac{1}{2} , x=-\frac{9}{2}[/tex]
x cannot be negative, so we can rule [tex]-\frac{9}{2}[/tex] out.
x=[tex]\frac{1}{2}[/tex] ft.
Related Questions
if the ball rolled 20 meters in 5 secoundes whats its speed
Answers
Answer:
4 meters/ sec
Step-by-step explanation:
20/5 = 4 Lol
Pls mark brainliest
Answer:
20/5=4m/s
Step-by-step explanation:
speed=distance/time
so speed=20/5
Adam thinks of a number.
He multiplies it by 8, adds 6 and then divides it by 2.
He ends up with 131.
What was the number he started with?
Answers
The number Adam started with is 32.He ends up with 131.
Let's denote the number Adam started with as "x." After multiplying by 8, we have 8x.
He adds 6 to the result.
The expression becomes 8x + 6.
He divides the result by 2.
The expression becomes (8x + 6) / 2.
The final result is 131.
Setting up the equation:
(8x + 6) / 2 = 131
To find x, we can solve this equation.
Multiplying both sides by 2:
8x + 6 = 262
Subtracting 6 from both sides:
8x = 256
Dividing both sides by 8:
x = 32
Therefore, the number Adam started with is 32.
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How many times larger than
(8 + 22) is 8 x (8 + 22)?
Answers
Answer:
8
Step-by-step explanation:
8+22 = 30
In order to solve 8 • (8+22), we'll need to use the order of operations. First, complete what is in parenthesis.
8 • (8+22)
30
Then, multiply 30 by 8.
30 • 8 = 240.
So, you can then divide to find your answer. If you divide 240 by 30, you will find that 8 • (8+22) is 8 times larger than 8+22.
Answer:
8 times larger
Step-by-step explanation:
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answers
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³f(x)= -2x^2+3x-7, calculate the average rate of change on the interval [1, 1+h]
Answers
Answer:
[tex]Rate = -2h-1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]Interval: [1,1+h][/tex]
Required
The average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex][a,b] = [1,1+h][/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
Calculate f(1+h) and f(1)
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]
[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]
Evaluate squares and open bracket
[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]
[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]
[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]
Collect like terms
[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]
[tex]f(1+h) = -2h^2-h-6[/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h}{h}[/tex]
Factorize the numerator
[tex]Rate = \frac{h(-2h-1)}{h}[/tex]
Divide
[tex]Rate = -2h-1[/tex]
Assume that you have obtained a sample mean of 56 Pa, a test statistic of -2.02 and a p-value of 0.095. Which of the statements below are correct interpretations of the p-value?
a. There is a 9.5% chance of making a mistake by rejecting the null hypothesis of the mean elasticity being as per design specification.
b. Assuming the mean elasticity is as per design specification, the probability of observing a sample mean as small or smaller than 56 Pa is 0.095.
c. Assuming the mean elasticity is as per design specification, the probability of observing a sample mean as large or larger than 56 Pa is 0.095.
d. Assuming the mean elasticity is as per design specification, the probability of obtaining a test statistic as small or smaller than -2.02 is 0.095.
e. Assuming the mean elasticity is as per design specification, the probability of obtaining a test statistic as large or larger than -2.02 is 0.095.
f. There is a 0.095 probability that the results are due to chance.
g. None of the above.
Answers
Answer:
options : B and D
Step-by-step explanation:
Given that the sample mean = 56 pa , test statistic = -2.02 and the p-value = 0.095 . the correct statements about the interpretations of the p- value are :
Assuming the mean elasticity is as per design specification, the probability of observing a sample mean as small or smaller than 56 Pa is 0.095. Assuming the mean elasticity is as per design specification, the probability of obtaining a test statistic as small or smaller than -2.02 is 0.095.In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)
Answers
Answer:
96
Step-by-step explanation:
4×8×3=96 is the surface area
PLEASE HELP ME ASAP WITH WORK!! I WILL GIVE BRIANLIEST!!
Ba) Xander needs to collect at least 120 cans for a food drive to earn
community service credit. He has already collected 64 items. Write and
solve an inequality to represent the number of cans, c, that Xander must
still collect.
8b) describe the graph of the solution set for the question above. Be sure to describe the circle and tell the direction on the arrow
Answers
Answer:
he needs to collect at least 56 more
Step-by-step explanation:
c+64[tex]\geq[/tex]120
c[tex]\geq[/tex]120-64
c[tex]\geq[/tex]56
Answer:56 more
Step-by-step explanation:
Write the equivalent fraction with a denominator of 100.
What number will go in the numerator? 9/10=
1) 10
2) 50
3) 90
Answers
Answer:
90/100
Step-by-step explanation:
Hope this helps you...
Answer:
9/10 = 9×10/10×10 = 90/100
3) 90
Anyone know What 4/3 divided by 16 is
Answers
Answer:
1/12
Step-by-step explanation:
That's the same as
4/3 * 1/16
3 x 16 = 48
4/48
simplify
1/12
Answer:
4/3 divided by 16 is 0.0833333333333
Step-by-step explanation:
there are 96 boys and 120 girls in grade 9. write down the ratio of the number of boys to the number of girls in the class.
Answers
Step-by-step explanation:
96/120=8/12
=2/3
ratio of boys to girls in the class
=2:3
Which of the following is NOT an example of a right angle?
Ο Α.The corner of a door
O B.The corner of a book
C.The point of a pencil
D.The corner of a piece of notebook paper
Answers
Answer:
The point of a pencil
Step-by-step explanation:
all other three mesure 90 the point of pencil is not square shape in order for it to be right angle its gotta be square shape hope this helps! may i be marked brainliest?
if these two shapes are similar, what is the measure of the missing length X?please answer i’ve been doing IXL for 3 hours
Answers
11 (4) + 33
Help pls
Answers
Answer:
11 (4) + 33
= 11 × 4 + 33
= 44 + 33
= 77
Answer:
77
Step-by-step explanation:
11(4)+33=? Multiply 11 by 4 [when a number is in parentheses it means to multiply it by the number in front of it]
44+33=77
What is the solution of the equation 3/4x + 5 = -9 ?
Answers
Answer:
x = -56/3
And that will be ur answer
15f=45 find the variable
Answers
15f = 45
/15 /15
F = 3
After 7 examinations Jordeen's average mark was 62. Her next result increased her average to 64. What was the next mark?
Answers
Answer:
Step-by-step explanation:76
What is 73 as a decimal?
Answers
Answer
Step-by-step explanation:
PLEAS HELP ASAP :)))))
Answers
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)
Difference in the 2 in 92.5 and the 4 in 8.49
Answers
Step-by-step explanation:
Raja Dilip aashram Mein Gaye
What is the arithmetic mean of the following numbers?
8, 1, 2, 6, 1, 4
Answers
Answer:
mean = 8+1+2+6+1+4= 22÷ 6 (the total number of digits )
= 3.606
Answer:
Mean = 8+1+2+6+1+4 = 22÷6( The total number of digits)
= 3.606
Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly
Answers
Answer:
A chi-square goodness-of-fit test
Step-by-step explanation:
GOF test is used to determine if the data meets the expected values.
A chi-square goodness-of-fit test procedure should be used to test whether or not the shuffle feature is working correctly.
What is a distribution?
A distribution includes an algebraic function that calculates the likelihood that long-been-considered outcomes will occur. In the perspective of its population space as well as event probability, it is a schematic representation of random phenomena.
To ascertain regardless of whether the observed sample frequency deviates noticeably from those given in the null hypothesis, should use the chi-square goodness of fit test.
He notes the number of tracks in each classification after listening to 100 songs selected at random while his player is in shuffle mode. One can determine out whether the quality of fit is "good enough" and draw the conclusion that the population matches the distribution by applying the chi-square goodness of fit test.
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how many term of the A.P 3,6,9,12....must be taken at the least to have a sum not less than 2000?
Answers
I dont wantonly help you I just want points ahahhaahahah
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
∠KJL and ∠KJG
Step-by-step explanation:
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answers
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
**WILL GIVE BRAINIEST Whats the value of x
Answers
Answer:
109.899098772yd
Step-by-step explanation:
90-16=74
cos(74)=x/640
A pat check Math. This is a assignment
Answers
has a $50 bill and wants to buy a pair of shoes for $48. If the sales tax is 6% how much more does she need to buy the shoes?
Answers
Answer:
He will ned 1 dollar more
Step-by-step explanation:
50x.06=3 so that is the sales tax subtract it by 2 and he will need 1 more dollar
Answer:
He would be off 88 cents.
find the GCF
find the GCF
Answers
What is the elapsed time between 10:05am 10:51am
Answers
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
