Answer:
Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.
Step-by-step explanation:
112 = 2⁴ * 7.
Next power after 2⁴ with a cube power = 2⁶.
Next power after 7 with a cube power = 7³.
Therefore k = 2² * 7² = 196.
30% of 6th grade student made honor roll. if there are 248 students in 6th grade, how mant students were on the honor roll
Answer:
74.4
Step-by-step explanation:
Jane read 3/8 of a book for 6 days. How many books did she read?
Answer:
2 and a half books.
Step-by-step explanation:
3/8×6=?
I simplified it by dividing 8 and 6 with 2 to get:
3/4×3=9/4
in whole numbers it will be, 2 and a half books
Work out the surface area of the solid cuboid
H=2cm
W=4cm
L=5cm
Answer:
total surface area = 76 sq.cm
Step-by-step explanation:
total surface area of cuboid = 2 ( lb + lh + bh )
( where l is length , b is width and h is height )
so, surface area :
= 2[ (5×4) + (5×2) + (2×4) ]
= 2 [ 20 + 10 + 8 ]
= 2 × 38
= 76 sq.cm
Can somebody please help me please!!!!
There are 6 people in Jacob’s family. Jacob’s sister is 5 years younger than he is. He has twin brothers who are 3 years older than he is. His mom is 3 times Jacob’s age, and his dad is 4 years older than his mom. The total of all the ages of all his family members is 165 years. How old is Jacob? Define a variable, write an equation, and solve the problem.
Answer:
Jacob is [tex]16[/tex] years old.
Step-by-step explanation:
Let the age of Jacob be [tex]x[/tex] years.
Jacob’s sister is [tex]5[/tex] years younger than he is.
So, the age of Jacob's sister be [tex]x-5[/tex] years.
Jacob's twin brothers are [tex]3[/tex] years older than he is.
So, the age of each of the twin brother be [tex]x+3[/tex] years.
Jacob's mom is [tex]3[/tex] times his age.
So, the age of Jacob's mom be [tex]3x[/tex] years.
Jacob's dad is [tex]4[/tex] years older than his mom.
So, the age of Jacob's dad be [tex]3x+4[/tex] years.
Now, the total of all the ages of all his family members is [tex]165[/tex] years.
So, [tex]x+x-5+x+3+x+3+3x+3x+4=165[/tex]
[tex]\Rightarrow 10x+5=165[/tex]
[tex]\Rightarrow 10x=165-5[/tex]
[tex]\Rightarrow 10x=160[/tex]
[tex]\Rightarrow x=\frac{160}{10}[/tex]
[tex]\Rightarrow x=16[/tex]
Hence, Jacob is [tex]16[/tex] years old.
What is this number in standard form? seventy-one and ninety-two thousandths
Answer:
71.092
Step-by-step explanation:
The number in the standard form i.e. seventy-one and ninety-two thousandths should be considered as the 71.092.
Number in standard form:Since the numbers are mentioned in alphabets like
seventy-one and ninety-two thousandths
We have to write in standard form
So, it should be like 71.092.
Hence, The number in the standard form i.e. seventy-one and ninety-two thousandths should be considered as the 71.092.
learn more about number here: https://brainly.com/question/2472437
The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and 84 grapefruits. She wanted to make baskets to sell at the local farmer's market with an equal number of oranges and grapefruits in each basket. What is the greatest number of baskets she can make.
Number of baskets she can make with an equal number of fruits in each basket?
Number of oranges in each basket?
Number of grapefruits in each basket?
Answer:
30 baskets
Step-by-step explanation:
Find the gfc of 150 and 240, you'll find that it is 30
In Mrs. Burgess' advisory, 18 students saw the action movie and 12 didn't. What is the ratio of students who saw the movie to the total students? Simplify the ratio.
Answer:
18:30 or 9:15 depending on if you need to simplify
Step-by-step explanation:
y=5x+7 and passes through (4,3)
the answer is y=5x-17
How do you get the -17?
Answer:
i do not no i do not no
Step-by-step explanation:
(8, -1) and slope m= -3 for slope intercept
Answer:
Slope-intercept Form: [tex]y = -3x + 16[/tex]
Step-by-step explanation:
Point-slope: [tex]y- y_1 = m (x - x_1)[/tex]
[tex]y + 1 = -3(x - 8)\\y \frac{+8}{-8} = -3x + \frac{+24}{-8} \\y = -3x + 16[/tex]
The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XYZ be than
the area of triangle ABC?
Answer:
Answer below :)
Step-by-step explanation:
Hi there!
Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.
Question 5 - A.
First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.
I hope this helps!
What is the measure of AngleEDH? 10° 40° 50° 90°
Answer:
50
Step-by-step explanation:
Write an algebraic expression to model the given context. Give your answer in simplest form. the price p of a coat reduced by a 5% discount
Answer:
We conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
Step-by-step explanation:
Let 'p' be the original price
Discount = 5% = 0.05
The discount amount can be calculated by multiplying the original price by 5% or 0.05
Discount Amount = 5% × p
= 0.05 × p
= 0.05 p
Given that the price p of a coat reduced by a 5% discount.
Thus, the price after 5% discount can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.
Thus,
The expression of the price p after 5% discount = p - 0.05 p
= 0.95 p
Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
In ΔEFG, e = 1.4 cm, f = 5.2 cm and ∠G=7°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
3.8
Step-by-step explanation:
delta math gave up
Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.What is the perimeter of the largest triangle?
Answer: The perimeter of the largest triangle = 117 units.
Step-by-step explanation:
Sides of smaller triangle = 10,20 and 15 units
Longest side = 20 units
Longest side of larger triangle = 52 units
Sides of two similar triangles are proportional.
Let k be proportionality constant.
[tex]k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}[/tex]
[tex]k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}[/tex]
Length of other two sides,
[tex]10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}[/tex]
So sides of larger triangle = 52 units, 26 units , 39 units
Perimeter of largest triangle = 52 +26+39 = 117 units
Hence, the perimeter of the largest triangle = 117 units.
Write a unit rate for the following situation. $54 for 3 every guests
Answer:
Step-by-step explanation:
It's 18 dollars per guest with 54:3
The unit price of a shirt is $12. The cost, c, of n shirts is represented by the equation c = 12n. Select the value that belongs in the highlighted box.
$2
$3
$18
$48
$60
$72
what is the difference if you deduct 50.78 to 99.75
A. 49.97
B. 50.97
C. 48.97
D. 48.79
Answer: 48.97
Step-by-step explanation:
Which of the following is an equivalent ratio to 5/2
A.) 750/262
B.) 655/262
C.) 475/262
D.) 131/262
Answer:
262/2 = 131
131 X 5 = 655
the answer is B: 655/262
A. 28.26cm
B. 37.68cm
C. 18.84cm
D. 56.52cm
Answer:
Option D
Step-by-step explanation:
circumference: 2pi x r
r = 9 (6 + 12)/ 2
2 x pi x 9
= 18 pi cm^2 = 56.55 cm^2
Answer:
D. 56.52 cm
Step-by-step explanation:
Circumference = 2*pi*r
Based on the picture, we can see the largest circle has a diameter of 18 cm. (12 + 6)
The radius of the largest circle is half of it's diameter: 18/2 = 9 cm
Now put in the numbers for the circumference equation:
Circumference = 2 * pi * 9 (9 is the radius)
Circumference = 56.5 cm
A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that: • He plans to drive 500 miles. • He has at most $210 to spend. What is the maximum number of days that Jaxon can rent the car while staying within his budget?
Answer:
2 days
Step-by-step explanation:
According to the problem, calculations of given data are as follows,
Rental charges per day = $68.64
Rental per mile = $0.12
Total miles = 500
Total spend = $210
Let number of days = X
So, we can find number of days by using following equation,
($68.64 × X ) + ( $0.12 × 500) = $210
$68.64 X + $60 = $210
$68.64 X = $210 - $60
$68.64 X = $150
X = $150 ÷ $68.64
X = 2.18 or 2 Days
Which is a correct classification for the triangle?
O equiangular triangle
O right triangle
O acute triangle
O obtuse triangle
Answer:
right angle
Step-by-step explanation:
180-(31+59)= 90
The correct classification of the triangle should be considered as the right triangle.
What is the right triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.
here, we have,
given that,
In the case when the sum the two given angles is 90,
so, the other angle will be 90
so, its a right triangle.
A right angled triangle is a triangle in which one of the angles is 90°. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle. Further, based on the other angle values, the right triangles are classified as isosceles right triangles and scalene right triangles.
Hence, The correct classification of the triangle should be considered as the right triangle.
Learn more about triangle here:
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A farmer estimated that there were 25 gallons of water left in the tank. If this is an understatement by 16%, how much water was actually left in the tank
Answer:
29.76 is ur answer
Step-by-step explanation:
Ethan was able to save ₱220.00 in 5 days, spending only ₱25.50 of the allowance given him daily. How much allowance is he given a day?
Answer:
44 pounds daily
Step-by-step explanation:
Step one:
Given data
Ethan was able to save ₱220.00 in 5 days
He only spends ₱25.50 of the allowance given him daily
Required
His daily allowance
Step two:
if in 5 days he saves 220 pounds
then in 1 day he will save
=220/5
=44 pounds
Cynthia was paid 20 cents pr board for painting the fence. If she was paid $10 for painting half the boards, how many boards were there?
Answer:
100 boards
Step-by-step explanation:
Step one:
Given data
We are told that Cynthia was paid 20 cents per board for painting the fence
that is for 1 board painted she gets $0.2
If she was paid $10
let us find the number of boards she painted for $10
= 10/0.2
=50 boards
This means that the total boards were 50*2= 100 boards
you flip a coin 10 times in a row. every single time it comes up heads. on the 11th flip, is it more likely to be heads, tails, or are heads and tails equally likely
Answer:
1/2
Step-by-step explanation:
It will be either heads of tails equally likely.
It’s still 1/2. Flipping a coin is an independent event. In other words, the outcome of the next flip is uninfluenced by what has happened previously. It’s as if it were the first time you ever flipped the coin. The probability is unaltered.
2х + 3 +7+ 1 = simply the expression
Answer:
2x + 11
Step-by-step explanation:
2x stays by itself and the integers combine. (3+7+1 = 11)
Answer:
2x + 11
Step-by-step explanation:
you just add the 7 + 3 + 1 = 11
2x + 11
please help this grade means a lot to me
Answer:
1 is false, 2 true, 3 u answered
Step-by-step explanation:
Write an equation of a line with slope -3/2 and x-intercept (4,0)
Answer:
An equation of a line with slope -3/2 and x-intercept (4,0) will be:
[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven
Slope m = -3/2x-intercept (4, 0)now substitute m = -3/2 and the point (4, 0) in the slope-intercept form of line equation
[tex]y = mx+b[/tex]
[tex]0\:=\:-\frac{3}{2}\left(4\right)\:+\:b\:\:\:\:\:[/tex]
[tex]-6+b=0[/tex]
Add 6 to both sides
[tex]-6+b+6=0+6[/tex]
Simplify
[tex]b=6[/tex]
Thus, the y-intercept b = 6
now substitute m = -3/2 and b = 6 in the slope-intercept form of line equation
[tex]y = mx+b[/tex]
[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]
Therefore, an equation of a line with slope -3/2 and x-intercept (4,0) will be:
[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]
4x - 10 > 22 or x-5 < -6
I need to know how to do this step by step..
Answer:
x > 3 or x < -1
Step-by-step explanation:
4x - 10 > 22
-10 -10
4x > 12
divide both sides by 4
x > 3
x - 5 < -6
+5 +5
x < -1
Hope this helps!!!