Answer:
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
Step-by-step explanation:
Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.
Therefore:
t = m - 1/2; m = t + 1/2
Also, b = 2t - 1/2
The total of the three shelves is 20 feet, therefore:
t + m + b = 20
Substituting:
t + t + 1/2 + 2t - 1/2 = 20
4t = 20
t = 20/4
t = 5 feet
m = t + 1/2 = 5 + 1/2 = 5.5 feet
b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
In AFGH, the measure of ZH=90°, the measure of ZF=18°, and GH = 9.4 feet. Find
the length of HF to the nearest tenth of a foot.
Answer:
20.9 feet
Step-by-step explanation:
i really hope this helps and have a good day
Passing through
(1,2) and (5,10)
Step-by-step explanation:
equation of the line is
y =mX + C
to calculate m(slope) :
m= 10-2/5-1 = 2
to find C ....Substitute in eq. by one point
2= 2×1+C
C. = 0
So the eq. is
y=2X
solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
Find the x- and y-intercept of the line.
–3x + 5y = 75
a
x-intercept is 5; y-intercept is –3
b
x-intercept is –3; y-intercept is 5
c
x-intercept is –25; y-intercept is 15
d
x-intercept is 15; y-intercept is –25
Answer:
x intercept-25; y intercept is 15
Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?
So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.
-9+n/4=-15 answer????
Answer:
-2
Step-by-step explanation:
9+n/4= -15
cross multiply
9+4-15=n
13-15=n
n=-2
|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.
Answer:
Annie's Orange Grove
Step-by-step explanation:
* you need to find out how much each pound of oranges cost at both orchards.
* to do so you take the total amount of money and divide it by the number of pounds you get.
1) 7.25 ÷ 20 = .36
2) 5 ÷12 = .4
* as you can see .36 is less than .4 and therefore is the better deal.
write the following numbers in order starting with the smallest 1.75kg 1975g 0.9kg 1800g
0.9kg
1.75kg
1800g
1975g
Need help appreciate it
Answer:
Perimeter is 50
Area is 60
Step-by-step explanation:
To get the perimeter, you add all the lengths of the sides together.
To get the area, you do A=hb * b / 2, which is 60
Answer:
The answer is at the bottom!!
Step-by-step explanation:
A= b * h * 1/2
24 * 5 =120
120 / (1/2)=60
60= 24 * 5 * 1/2
P = a + b + c
P= 13 + 24 + 13
P=50
Hope this helps!!
The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t).
Answer:
See explanation
Step-by-step explanation:
The question is incomplete. However, I'll ask and answer possible questions that emanate from the given parameter.
A possible question is: Write the given information as a function of distance.
We have that;
[tex]Base\ Distance = 200[/tex]
[tex]Time = t[/tex]
[tex]Rate = r[/tex]
The function would be calculated as:
Base Distance + Rate * Time
Substitute values for Base Distance, Rate and Time
This gives:
[tex]200 + r * t[/tex]
[tex]200 + rt[/tex]
Hence;
[tex]Distance = 200 + rt[/tex]
Another possible question is to determine the current distance travelled by the family at a rate of 80 miles per hour for 3 hours.
Here, we have:
[tex]r = 80[/tex]
[tex]t = 3[/tex]
Substitute these values in [tex]Function = 200 + rt[/tex]
[tex]Distance = 200 + 80 * 3[/tex]
[tex]Distance = 200 + 240[/tex]
[tex]Distance = 440[/tex]
barney has 14 dimes and quarters worth $2.15. write the system of equations
Answer: 14 dimes and 3 quarters
Step-by-step explanation:
14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters
Evaluate 4b – a when a = 12 and b=7.
4b - a= 0
Answer: 4b - a = 15
Step-by-step explanation: if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
Answer:
-3000
Step-by-step explanation:
edge2021
Answer: -3000
Step-by-step explanation: Did it on Edge and got it right!
What's the value of 6.7×0.54
Answer:
What's the value of 6.7×0.54
=
3.618
Step-by-step explanation:
Answer:
3.618
Step-by-step explanation:
3.618
6. Maria rides the bus every day. She bought a bus pass good for the month of
October for $38.75. How much was Maria spending per day for the bus pass?
Answer:
Maria is spending $1.25 for the bus pass everyday
Step-by-step explanation:
Given that Maria paid $38.75 for the pass for a month
As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.
So,
[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]
Maria is spending $1.25 for the bus pass everyday
Someone answer this question, please.
Answer:
B. 12
Step-by-step explanation:
How many solutions does 1.25x+4=1.00x+6 have
Answer:
One solution which is 8
Step-by-step explanation:
Hope this helps. Pls give brainliest.
please help!!(GIVING BRAINILEST) Which number line shows the solution of -3x+6>12?
Answer:
The answer is D
Step-by-step explanation:
Answer: C
Step-by-step explanation:
−3x + 6 > 12
Move all terms not containing x to the right side of the inequality.
Subtract 6 from both sides of the inequality.
−3x > 12 − 6
Subtract 6 from 12.
−3x > 6
Divide each term by −3 and simplify.
Divide each term in −3x > 6 by −3. When multiplying or dividing both sides of an i nequality by a negative value, flip the direction of the inequality sign.
(-3x/-3)<(6 /-3)
Cancel the common factor of −3.
Divide 6 by −3.
x < −2
( − ∞ , − 2 )
The cost of 9 scarves is $87.75. What is the unit price?
Answer:
the answer is 9.75 for one
Step-by-step explanation:
divide 87.75/9
hope this helped
The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?
Chloe cut enough fabric because she cut the amount of fabric for the skirt.
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
Chloe did not cut enough fabric because she only cut the amount of fabric for the skirt.
Chloe did not cut enough fabric because she only cut the amount of extra fabric.
Answer:
D
Step-by-step explanation:
She only cut the 15% extra and no the other 75%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.
Calculate the percentage of the fabric from the given data,
Percentage = 0.1125 / 0.75
Percentage = 0.15 x 100
Percentage = 15%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
To know more about percentages follow
https://brainly.com/question/24304697
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1. Angelina received 10% off a $50 pair of shoes. How much did she save?
Answer:
$5
Step-by-step explanation:
Multiply 0.10 by $50
5
So Angelina saved $5
Hope this helped :)
Solve cos x + √2 = -cos x for x over the interval [0, 2Π)
Answer:
[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Equations
It's required to solve:
[tex]\cos x+\sqrt{2}=-\cos x[/tex]
for [tex]x\in [0,2\pi)[/tex]
Adding cos x:
[tex]2\cos x+\sqrt{2}=0[/tex]
Subtracting [tex]\sqrt{2}[/tex]
[tex]2\cos x=-\sqrt{2}[/tex]
Dividing by 2:
[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]
Solving for x:
[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]
We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.
These angles lie on the quadrants III and IV respectively and they are:
x=135°, x=225°
Converting to radians:
135 * π / 180 = 3π/4
225 * π / 180 = 5π/4
The two solutions are:
[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]
[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]
Answer:
The correct answer is option C
Step-by-step explanation:
Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?
Answer:
there are 120 apples in each basket and 5 are left over
Step-by-step explanation:
Given f(x) = x^3 + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k?
The required simplified value of k is 8 for given conditions.
Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
f( x ) = x³ + kx + 9 / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8
Thus, the required simplified value of k is 8.
Learn more about simplification here: https://brainly.com/question/12501526
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mary is 5 feet and 7 inches tall how tall is mary in inches?
A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value
Answer:
133 windows
Step-by-step explanation:
It is given that,
A window washer cleaned 38 windows in 2 hours.
We need to find how many windows did he clean in 7 hours.
2 hours = 38 windows
1 hour = 19 windows
For 7 hours, multiply 19 and 7.
7 hours = 19 × 7 windows
= 133 windows
Hence, in 7 hours he can clean 133 window
Laurie had three $2 off coupons for the mini-golf course, but everybody else had to pay $9 per person, the full price. What was the total cost for their group of 8 to play mini-golf?
A: $51
B:$62
C:$63
D:$66
Answer:
D
Step-by-step explanation:
9x8=71
2x3=6
71-6=66
Answer:
D $66
Step-by-step explanation:
So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9
3×2=6 (which means she can get $6 off of the original price $9.)
9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)
9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)
63+3=66 (So altogether everyone including Laurie is paying $66.)
So the final answer is $66
(I hope this helps you! Have a wonderful day everyone!)
:)
GAIQNFKDKER HELP PLZ
Answer:
it's the first answer
Step-by-step explanation:
literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else
A customer at a store paid $42 for 4 pairs of pants and 3 shirts. At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?
Answer:
The system of Equations:
4x + 3y = 42
x + 7y = 44
Step-by-step explanation:
Let the price in dollars of
each pair of pants = x
each shirt = y
A customer at a store paid $42 for 4 pairs of pants and 3 shirts.
Hence:
4 × x + 3 × y = $42
4x + 3y = 42
At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.
This means he, paid $42 +$2 = $44
Hence:
1 × x + 7 × y = 44
x + 7y = 44
The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is
4x + 3y = 42.... Equation 1
x + 7y = 44..... Equation 2
4. You have $40 in your wallet, but you do not want to spend all of it. You want to have at least some money left. You find a shirt for $5 and buy it. What is the amount of money (m) you have left to spend?
OPTIONS (MULTIPLE CHOICES) ARE IN THE COMMENTS
Answer:
B
Step-by-step explanation: