ne positive integer is 4 less than twice another. The sum of their squares is 356. Find the integers
9514 1404 393
Answer:
16 and 10
Step-by-step explanation:
Let x and y represent the two integers.
x = 2y -4 . . . . . one is 4 less than twice another
x^2 +y^2 = 356 . . . . the sum of their squares is 356
We can solve these using substitution.
(2y -4)^2 +y^2 = 356 . . . . substitute for x
5y^2 -16y +16 = 356 . . . . simpify
5y^2 -16y -340 = 0 . . . . . put in standard form
(5y +34)(y -10) = 0 . . . . . . factor*
y = 10 . . . . . the only positive solution
x = 2(10) -4 = 16
The integers are 16 and 10.
_____
* A graphing calculator can provide useful insight as to the factors.
Answer:
16 and 10 is the answer.
Step-by-step explanation:
#OrganizeLearningHELP MEEEEEEEEEEEEEEEEEEEEE!
The length of a side and corresponding height of a triangle are (x+3) and (2x-5) given that area of triangle is 20cm^2. Find the value of x
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
A bag of 33 tulip bulbs contains 11 red tulips, 12 yellow tulips, and 10 purple tulips. Suppose two tulip bulbs are randomly selected without replacement from the bag. What is the probability that two randomly selected tulip bulbs are both red
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Answer:
36 unitsStep-by-step explanation:
Top base:
a = 6 unitsLeft leg:
b = 8 unitsBottom base:
d = 12 unitsRight leg:
c² = √6²+8² = √100c = 10 unitsPerimeter:
P = 6 + 8 + 10 + 12 = 36 unitsHIiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
hi the answer is 7.3
Step-by-step explanation:
hope it helps you have a good day
What is 1 and 7/10
as a decimal?
0.17
1.7
th
0.7
7.1
1.07
Area of equilateral triangle with a perimeter of 96?
answer: 443.41
hope this helped :)
What is the solution to the equation below? Round your answer to two decimal places. 5•e^x=18 A. x = 36.60 B. x = 1.28 C. X = 9.78 Ο Ο D. X= 0.56.
Answer x=1.28
Answer:
x=1.28
Step-by-step explanation:
Where can we use linear inequalities in real life?
Step-by-step explanation:
we can use it to solve age problems and Money problems e.t.c
A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is 20 feet from the ground?
Answer:
C
Step-by-step explanation:
x^2 + 20^2 = 25^2
x^2 + 400 625
x^2 = 225
x = 15
I need help with this plsss
Answer:
8 boxes
Step-by-step explanation:
Surface area of the rectangular prism:
A=2(wl+hl+hw)
A = 2(5·4+7·4+7·5) = 166
The 166 represents the square ft of one box.
Take the total number of wallpaper she has, 1328 ft^2, and divide by 166 to find the number of boxes that she can cover.
[tex]\frac{1328}{166} = 8[/tex]
Hope that helps!
Answer:
Step-by-step explanation:
Firstly lets calculate the total surface area of the cuboid
Total surface area of cuboid (A1)
= 2( l*b+ b*h +l*h)
= 2( 7 * 5+ 5 * 4 + 7 * 4)
= 166 ft²
also given that
Total area of the wallpaper ( A2)= 1328 ft²
Now
Number of boxes that she can cover is
= A2 / A1
= 1328 / 166
= 8 BOXES.
hope it will help :)
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red.
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
L
Answer:
the no of liters required is 50.55 liters
Step-by-step explanation:
Given that
The car gas efficiency is 23.0 mi/gal
distance is 495 km
1 gal = 3.78 L
1 km = 0.6214 mi
We need to find out the no of liters of gas that would needed to complete a trip
So,
= (495 × 3.78 × 0.6214) ÷ (23)
= 50.55 Liters
hence, the no of liters required is 50.55 liters
m
Which is equivalent to *_?
V2
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xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
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Pls help me pls it’s
Q) What percentage of sudents who passed the test completed the review sheet
A)
19/27*100
=70.37%
Nearest 10th of a percent
=70%
work out the cost. 70cm of ribbon at £2.00 per metre.
An item costs $34 it has a sales tax
rate of 5%. What is the amount of
sales tax for that item?
tax
0.00
+/-
Answer:
$1.70
Step-by-step explanation:
34 x 0.05 = 1.70
$1.70 is the tax
the fifth term of an arithmetic sequence is 23 and the 12th is 72. determine the next three terms and general formula
Answer:
first three terms are -5 , 2, and 9
Step-by-step explanation:
term(n) = a + (n-1)d
term5 = a+ 4d = 23
term12 = a + 11d = 72
subtract them
7d = 49
d = 7
sub into a+4d = 23
a + 28 = 23
a = -5
1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a
What is the total surface area of the square pyramid?
240 square meters
280 square meters
310 square meters
380 square meters
Answer:
380 I belive! :))
Step-by-step explanation:
Correct me if I'm wrong! ((:
A researcher is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95% confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable. When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked?
A. The true relationship between length and weight is linear.
B. The standard deviation for weight does not vary with length.
C. The values of weight are approximately normally distributed at each value of length.
D. The sum of the residuals is zero.
E. The observations are independent.
Answer:
D. The sum of the residuals is zero.
Step-by-step explanation:
The relation between length and weight of pineapples is observed. The observation should be independent and the values must be normally distributed in order to find the confidence interval for slope of population regression line.
If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.
Answer:
[tex]q = 7[/tex]
Step-by-step explanation:
Given
[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation
[tex]p =2; q = 21[/tex]
Required
Find q when [tex]p = 6[/tex]
[tex]p\ \alpha\ \frac{1}{q}[/tex]
This becomes
[tex]p = \frac{k}{q}[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = p * q[/tex]
Substitute [tex]p =2; q = 21[/tex]
[tex]k = 2 * 21[/tex]
[tex]k =42[/tex]
When [tex]p = 6[/tex], we have:
[tex]p = \frac{k}{q}[/tex]
[tex]6 = \frac{42}{q}\\[/tex]
Make q the subject
[tex]q = \frac{42}{6}[/tex]
[tex]q = 7[/tex]
Round 4.57438 to the nearest tenths place
4.57438 to the nearest tenths place is 5.
solve the expression 7x + 8, x=4
Answer:
36
Step-by-step explanation:
7x + 8
x = 4
So, 7(4) = 28
28 + 8 = 36
What’s the product of four-fifths and two-and-five-twelfths?
Answer:
One and fourteen fifteenths
Step-by-step explanation
4/5 (2 15/2)
4/5 (29/12)
29/15=1 14/15
what's the answer to this question? (zearn)
Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The volume of the bedroom:
9 * 5 * 7 = 315 cubic feet
The volume of the den:
(9*2) (5*2) (7*2)
18 * 10 * 14 = 2,520
2,520/315 = 8
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?
Answer:
Step-by-step explanation:
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.
The distance covered by the snail in 4 days from Monday to Friday morning is,
Distance = 4 days × 18 inches = 72 inches
Distance covered on Friday = 30 inches
Total distance covered = 72 inches + 30 inches = 102 inches
The total distance covered before you leave on Friday is 102 inches.
Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.
Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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9. Question
Which is a valid IP address?
128.42.64.78
A8:97:4F:6D:H6:0F
598.36.789
126.396.659.100
ASAP simplify and show work.
1. (x^-6)^-3
2. (2x^4)(8x^15)
3. (xy^6)(xy)^3
4. a^4b^0(a^8)
5. (x^2)^2(5x^2)^3
1) Answer:
[tex]{x}^{18} [/tex]
2) Answer:
[tex] {16x}^{19} [/tex]
3) Answer:
[tex] {x}^{4} {y}^{9} [/tex]
4) Answer:
[tex]a ^{12} [/tex]
5) Answer:
[tex]125 {x}^{10} [/tex]