Answer:
y=8x+7
Step-by-step explanation:
find the y-intercept:
7=8(0) +b
b=7
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths (in whole inches) for the third side?
Answer:
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Step-by-step explanation:
For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.
Hence:
She has two sides of length 18 inches and 27 inches
Let the third side = x
Hence:
a) 18 + 27 > x
45 > x
b) 18 + x > 27
x > 27 - 18
x > 9
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
In the equation below, a and b are constants. If a = b, what is the value of x in terms 2^z/a and 8^y/b
Answer:
Hi how are you doing today
14. At the library, Herb spent 1/6 hour looking for a book, 1/4 hour reading, and 1/2 hour doing research on the computer. How many
hours did Herb spend at the library?
Which is the better buy? Option A costs 5.00 for 10 pieces of candy and option B costs $10.00 for 10 pieces of candy.
Answer:
Option A
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A household item uses 321 watts of electricity. This item is used for 27 hours each week. How much CO2 will be produced each week from this item?
This question is incomplete, the complete question is;
A household item uses 321 watts of electricity. This item is used for 27 hours each week. How much CO2 will be produced each week from this item? (assume 1.37 pounds of CO2 is produced per KWH of electricity used)
Answer: 11.87 lbs of CO2 will be produced each week from this item
Step-by-step explanation:
Given that;
Average wattage Wattage of the item = 321 watts
Time used = 27 hours each week
CO2 produced each week = ?
so;
Total electricity consume = 321 × 27 = 8667 watt = 8.667 kWh
given that; 1.37 pounds of CO2 is produced per KWH of electricity used
hence; CO2 generated by our item will be;
⇒ 8.667 kWh × 1.37
= 11.87 lbs
Therefore, 11.87 lbs of CO2 will be produced each week from this item
HELP PLSSSSS!!!
Find y to the nearest hundredths place.
A
11.59 ft
B
12.43 ft
С
15.85 ft
D
24.93 ft
Answer:
d the its simpel
Step-by-step explanation:
X/3 - 6 > -12 I need help!
Answer:
x > -18
Step-by-step explanation:
If x was -18, -18/3 is -6 and -6-6 is -12. So, x must be greater than -18.
Answer:
x>-18
Step-by-step explanation:
Inequality answers are same as algebra but we use < or > for more than or less than and with line under for equal to.
x/3 -6 >-12
x/3 > -12 +6
x/3 > -6
x>-6 x 3
x> -18
Which expression is equivalent to 1/4 - 3/4 x?
Answer:
1/4 (1 - 3 x)
Step-by-step explanation:
Find the value of x
Answer:
67.5
Step-by-step explanation:
Sum of Interior Angles of Pentagon = 540 (5-2) × 180
148 + 112 + 10 + 2x + 2x = 540
270 + 4x = 540
4x = 540 - 270
4x = 270
x = 270/4
x = 67.5
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See the attachment for the problem
Answer:
A) No solution.
B) -2, 1, 2
C) 2, 1, - 2
D) Infinite number of solutions
Step-by-step explanation:
A) 2x + 5y - z = -2
3x - 2y + z = 4
-x + 7y - 2z = 2
Let's add eq(1) and eq(2) to eliminate z.
2x + 3x + 5y - 2y - z + z = -2 + 4
5x + 3y = 2 - - - (eq 4)
Let's multiply eq(2) by 2 and add to eq(3) to eliminate z.
6x - x - 4y + 7y + 2z - 2z = 8 + 2
5x + 3y = 6 - - -(eq 5)
Subtracting eq(4) from eq(5) gives;
0 = 4
This is inconsistent and thus the system of equation has no solution.
B) 4x + 5y + 3z = 3
-3x + 4y - z = 8
5x + 3y + 2z = -3
Multiply eq 2 by 3 and add to eq 1 to eliminate z;
4x - 9x + 5y + 12y + 3z - 3z = 3 + 24
-5x + 17y = 27 - - - (eq 4)
Multiply eq 2 by 2 and add to eq 3 to eliminate z;
5x - 6x + 3y + 8y + 2z - 2z = -3 + 16
-x + 11y = 13 - - - (eq 5)
Multiply eq (5) by -5 and add to eq 4 to get;
17y - 55y = 27 - 65
-38y = - 38
y = 1
Putting 1 for y in eq 5 gives; x = -2
Putting x = - 2 and y = 1 in eq 1 gives;
z = 2
C) 4x - 3y + 2z = 1
-2x + 3y - 2z = 3
2x - 3y + 3z = -5
Solving this equation simultaneously via a calculator gives;
x = 2, y = 1, z = - 2
D) 2x + 3y - z = -2
x - 9y + 2z = 8
-x - 12y + 3z = 10
Add eq(2) to eq (3) to get;
-21y + 5z = 18 - - - (eq 4)
Multiply eq 2 by 2 and add to eq 3 to get;
-30y + 7z = 26 - - - (eq 5)
From eq 4, z = (18 + 21y)/5
Put this in eq 5 to get;
-30y + 7(18 + 21y)/5 = 26
-30y + 126/5 + 147y/5 = 26
Solving this leads to infinite number of solutions
Fill in the missing numbers to find two equivalent fractions 4/5 please help !!
Write the ratio of the first measurement to the second measurement. Compare in millimeters. Diameter of ball A:33 mm. Diameter of ball B: 5.4 cm
Answer:
the ratio of the first measurement to the second measurement is 11 / 18 or 11 : 18
Step-by-step explanation:
Given that;
diameter measurement of ball A = 33 mm
diameter measurement of ball B = 5.4 cm
Now, we convert the unit of measurement of ball B from centimeter to millimeter
we know that 1 cm = 10 mm
so 5.4 cm = x mm
x mm = 5.4 × 10 = 54 mm
therefore, diameter measurement of ball B is 54 mm.
Now, the ratio of the first measurement to the second measurement will be;
⇒ 33 / 54
we simplify the fraction
⇒ 11 / 18 or 11 : 18
Therefore, the ratio of the first measurement to the second measurement is 11 / 18 or 11 : 18
If six is subtracted from three times a number, the difference is twice the number. What is the number?
Answer:
Step-by-step explanation:
Let the number be x.
3x - 6 = 2x
x - 6 = 0
x = 6
At a large high school, 15% of the students drive to school. Of the students that drive to school, 80% are seniors. What is the probability a randomly selected
student drives to school and is a senior?
O 0.19
O 0.65
O 0.95
O 0.12
Answer:
0.12
Step-by-step explanation:
Probability is defined as the number of possible outcomes divided by the total outcome.
Given that 15% of the students drive to school and of the students that drive to school, 80% are seniors then the probability a randomly selected student drives to school and is a senior P(D&S)
= 15% * 80%
= 15/100 * 80/100
= 0.12
The 4th option
This question is based on the concept of probability. Therefore the correct option is (D), that is 0.12 is the probability a randomly selected student drives to school and is a senior.
Given:
At a large high school, 15% of the students drive to school. Of the students that drive to school, 80% are seniors.
We have to calculated the probability a randomly selected student drives to school and is a senior.
By the definition of probability,
Probability is branch of mathematics, and it is defined as the number of possible outcomes divided by the total outcome.
Given that, 15% of the students drive to school and of the students that drive to school, 80% are seniors.
Hence, the probability a randomly selected student drives to school and is a senior is ,
[tex]=\dfrac{15}{100} \times \dfrac{80}{100}\\\\= 0.15 \times 0.8\\\\= 0.12[/tex]
Therefore, the correct option is (D), that is 0.12 is the probability a randomly selected student drives to school and is a senior.
For more details, prefer this link:
https://brainly.com/question/11234923
Which shows 9.635 written in expanded form, using powers of ten
Step-by-step explanation:
The expanded form of 9.635 is given by :
[tex]9.635 =9+\dfrac{6}{10}+\dfrac{3}{100}+\dfrac{5}{1000}[/tex]
or
[tex]9.635 =9+0.6+0.03+0.005[/tex]
We can write it using the powers of ten.
[tex]9.635 =9.635 \times 10^0[/tex]
10⁰ is equal to 1.
Hence, this is the required solution.
Kyra needs to buy 6 pens and some colored pencils for school. He has $25.00 to spend. If the pens cost $3.50 each, how much does he have left to spend on colored pencils?
Answer:
$21.50
Step-by-step explanation:
$25.00
- 3.50
-----------
$21.50
Answer:
4 dollars
Step-by-step explanation:
3.50 x 6 is 21 Dollars leaving Kyra with 4 dollars for color pencils
Determine each number by writing a proportion. Round to the nearest tenth if necessary.
What is 5% of 40?
Answer:
2
Step-by-step explanation:
Write the proportion. You do 40x5=200. 200/100=2.
David has $15 to spend at the gourmet candy store. He wants to buy gummy bears and jelly beans. Gummy bears are $5.25 per pound and jelly beans are $3.90 per pound. If David already has `1\frac{3}{4}` pounds of jelly beans, how many pounds of gummy bears can he buy?
Answer:
he can get 1224 gummy bears
Step-by-step explanation:
i 324 need 22432 po1n72
1. Evaluate 65 – 3×[(28 - 8) + (24 + 6)]. Answer:
Answer:
-85
Step-by-step explanation:
I NEED HELPPPPPPPPPPPPPP ITS TIMED PLEASSE HURRY AND I WILL GIVE BRAINLIESTTTTT
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week. (2 points)
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
4c + 6a < = 120 ...4(20) + 6(6) = 116 <== correct
4c + 4a < = 100....4(20) + 4(6) = 104 <== incorrect
first answer choice
Answer:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
IS THE CORRECT ANSWER!!!!
Is this a function ?
Last year, 63 new houses were built in a neighborhood. So far this year, 6/7 of them have been sold. How many new houses have been sold this year?
Answer:
54 houses has been sold this year
Step-by-step explanation:
So 6/7 OF the houses sold
63 houses in total
So you just multiply
63*6/7=54
Jefferson is plotting the vertices of an isosceles triangle on a coordinate graph. He has plotted the two points shown. Where would he plot the three point?
Answer:
4,2
Step-by-step explanation:
Answer:
It is 4, 2
Step-by-step explanation:
Trust me
15 quarters to 3 dollars
Answer:
so, it's 3.75 to 3
Step-by-step explanation:
15 quarters is 3 dollars and 3 quarters
Please help I will mark brainleist if correct!!
If f(x) is an exponential function where f(2.5)=26 and f(6.5)=81, then find the value of f(12), to the nearest hundredth.
Given:
f(x) is an exponential function.
[tex]f(2.5)=26[/tex]
[tex]f(6.5)=81[/tex]
To find:
The value of f(12), to the nearest hundredth.
Solution:
The general exponential function is
[tex]f(x)=ab^x[/tex]
For, x=2.5,
[tex]f(2.5)=ab^{2.5}[/tex]
[tex]26=ab^{2.5}[/tex] ...(i)
For, x=6.5,
[tex]f(6.5)=ab^{6.5}[/tex]
[tex]81=ab^{6.5}[/tex] ...(ii)
Divide (ii) by (i).
[tex]\dfrac{81}{26}=\dfrac{ab^{6.5}}{ab^{2.5}}[/tex]
[tex]\dfrac{81}{26}=b^4[/tex]
Taking 4th root on both sides, we get
[tex]\sqrt[4]{\dfrac{81}{26}}=b[/tex]
[tex]b\approx 1.32855[/tex]
Putting b=1.32855 in (i), we get
[tex]26=a(1.32855)^{2.5}[/tex]
[tex]26=a(2.03444)[/tex]
[tex]\dfrac{26}{2.03444}=a[/tex]
[tex]a\approx 12.7799[/tex]
Now, the required function is
[tex]f(x)=12.7799(1.32855)^x[/tex]
Putting x=12, we get
[tex]f(12)=12.7799(1.32855)^{12}[/tex]
[tex]f(12)=386.4224[/tex]
[tex]f(12)\approx 386.422[/tex]
Therefore, the value of f(12) is 386.422.
what is 1,300 divided by85
Answer: 15
Step-by-step explanation:
260
Simplify ———
17
Final result :
260
——— = 15
17
Plz I will give brainliest
Answer:
1/10
Step-by-step explanation:
Try it if I’m right pls brainleist
Answer:
2/0.8
Step-by-step explanation:
i divided
There are 75 pieces of candy in a 15 oz bag.how many pieces are there per ounce?
Answer:
0.5
Step-by-step explanation:
In 1 ounce there are 5 piece of Candy.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
There are 75 pieces of candy in a 15 oz bag.
So, Per ounce the amount of candy
= 75/ 15
= 5
Hence, In 1 ounce there are 5 piece of Candy.
Learn more about unitary Method here:
https://brainly.com/question/22056199
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Help please ! !!!!!!!!!
