Answer:
yes a 1:1 ratio
Step-by-step explanation:
Jack draws a pattern of 2 cm wide strips on the wall in the following order: a red strip, a blue strip, an orange strip, a pink strip, and then he repeats the colors in the same order. How long is Jack's pattern if the first and last stripes he painted were red, and he painted six red strips in total?
Answer:
His pattern is 42cm long.
Step-by-step explanation:
Each repetition of the pattern is 8 cm (4 colors time 2cm each)
If the last color is red and he painted 6 red strips in total, then he repeated the pattern 5 times and ended on an extra red strip.
So 8cm times 5 repetitions equals 40, plus 2cm for the extra red strip.
Solve with explanation please
Answer:
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
Step-by-step explanation:
Let the width of the rectangular lot be x meters.
So, Length of the same = 2x metres.
[tex]A(rectangular \:lot) = (2x)(x)[/tex]
[tex]\implies A(rectangular \:lot) = 2x^2[/tex]
When length is increasEd by 40 m and width by 6 m. Then....
New length = [tex](2x + 40) \:m[/tex]
New width =[tex](x + 6) \:m[/tex]
According to the question:
[tex](2x + 40)(x + 6) = 2(2x^2)[/tex]
[tex]\implies 2x(x + 6) + 40(x + 6) - 4x^2=0[/tex]
[tex]\implies 2x^2+12x + 40x + 240 - 4x^2=0[/tex]
[tex]\implies 2x^2- 4x^2+12x + 40x + 240 =0[/tex]
[tex]\implies -2x^2+52x + 240 =0[/tex]
[tex]\implies 2(x^2-26x - 120) =0[/tex]
[tex]\implies x^2-26x - 120=0[/tex]
[tex]\implies x^2-30x+4x - 120=0[/tex]
[tex]\implies x(x-30)+4(x - 30)=0[/tex]
[tex]\implies (x-30)(x+4)=0[/tex]
[tex]\implies x-30=0,\: x+4=0[/tex]
[tex]\implies x=30,\: x=-4[/tex]
Since, x represents the side length, so its value can't be negative.
[tex]\implies x=30[/tex]
[tex]\implies 2x=2(30)=60[/tex]
Thus,
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
16 - 2t = 3/2 t + 9 .
Answer:
t=2
Step-by-step explanation:
Start by subtracting 9 from both sides. You'll get 7-2t=3/2t. I made 3/2 a mixed number, so 1 1/2. You should have 7-2t=1 1/2t. Add 2t to both sides, because the 2t is negative. You should have 7=3 1/2t. Last step is to divide 3 1/2 into both sides. 7 divided by 3 1/2 is equal to 2, so t=2
5.12 divided by 35.75
Answer:
please explain further so i can help.
Step-by-step explanation:
How to get -70 from 24/12+72/8-9
Answer:
Step-by-step explanation:
24/12 = 2
72/(8 - 9) Be sure and use brackets when you post a question. 8 - 9 = - 1
72/-1 = - 72
2 - 72 = - 70
Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5. Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine?
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5-pound portions.
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5-pound portions.
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.
Answer:
D.
Step-by-step explanation:
if he divides (7/8) / (2/5)
he will get x bottles of honey if each bottle weighs 2/5 pound
3x + y = 16
X + y = 8
What are x and y
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
3x + y = 16
3x + 1(0) = 16
x1 = 5.333 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
3x + y = 16
3(0) + y = 16
y2 = 16 x2 = 0
Enter the first 4 terms of the sequence defined by the given rule. Assume that the domain of each function is the set of whole numbers greater than 0.
f(n)=n3-7
The first 4 terms of the sequence are______,______,______,_______.
Given:
The given rule is
[tex]f(n)=n^3-7[/tex]
Domain of the function is the set of whole numbers greater than 0.
To find:
The first 4 terms of the sequence.
Solution:
We have,
[tex]f(n)=n^3-7[/tex]
Domain of the function is the set of whole numbers greater than 0. So, the domain for first four terms of the sequence are 1, 2, 3 and 4 respectively.
For n=1,
[tex]f(1)=(1)^3-7[/tex]
[tex]f(1)=1-7[/tex]
[tex]f(1)=-6[/tex]
For n=2,
[tex]f(2)=(2)^3-7[/tex]
[tex]f(2)=8-7[/tex]
[tex]f(2)=1[/tex]
For n=3,
[tex]f(3)=(3)^3-7[/tex]
[tex]f(3)=27-7[/tex]
[tex]f(3)=20[/tex]
For n=4,
[tex]f(4)=(4)^3-7[/tex]
[tex]f(4)=64-7[/tex]
[tex]f(4)=57[/tex]
Therefore, the first 4 terms of the sequence are -6, 1, 20, 57 respectively.
A cylinder has a height of 8 millimeters. Its volume is 5,652 cubic millimeters. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
15.0
Step-by-step explanation:
V = pi×r^2×h
so r = 15.0
A factory made 2400 tools in 30 days.how many tools did it make in one day
Answer:
80 tools in one day
Step-by-step explanation:
30 = 2400
÷ 30
1 = 80
How many whole numbers are between 0 and n+7? n is a whole number.
Answer:
At least 7 since 0 is a whole number the lowest n+7 can be is 0+7= 7 and there is seven numbers in between 0 and seven.
Step-by-step explanation:
What is the measure of
Answer:
45°
Step-by-step explanation:
Find the volume of this cylinder height 27 and base 34 use 3.14 for pie
Answer:
V≈21790.09
Step-by-step explanation:
Volume of a cylinder equals V=π*r^2*h. Find the radius by taking the base and dividing it by 2 (34/2=17). Plug numbers into equation. π·17^2·24.
A roll of tape is 30 yards. How many feet long is that roll of tape?
Simplify the following expression completely.
x2 + 6x + 9
—————-
x2 + 2x - 3
Answer:
The answer is that image below. If it isn't correct, I'm sorry.
Please help.
What is 7/8 divided by 6/8
Simplify your answer.
Hey there!
7/8÷6/8=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/8×8/6=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7×8/8×6=56/48
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 48 using
GCF(56,48) = 8
56÷8/48÷8=76
The fraction
7/6
is the same as
7÷6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= [tex]1 \frac{1}{6} [/tex]
Therefore:
7/8÷6/8= 1 1/6
Let's do
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\div \dfrac{6}{8}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{8}{6}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{4}{3}[/tex]
Cancel 4 and 8[tex]\\ \bf\hookrightarrow \dfrac{7}{2}\times \dfrac{1}{3}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{6}[/tex]
Find the point-slope equation of the line using the point (1,2) and slope of 3/2.
Use the slash key (/) to indicate a fraction.
Answer:
y=3/2 x + 1/2
Step-by-step explanation:
please see attached picture
There are 3 barrels in the garden. The first barrel contains 12 1/5 liters of water. The second barrel contains 2 1/4 liters less water than the first one, and the third barrel contains 4 5/6 liters water more than the second barrel. What is the the total volume of the water in three barrel together?
Answer:
36 5/6 liters
Step-by-step explanation:
There was a whole lot of math put into it that I don't wanna type, but long story short, I had to combine 12 1/5, 9 19/20, and 14 47/60. Up above is the final answer that I got.
factor the polynomial 4x^4-20x^2-3x^2+15 by grouping. what is the resulting expression?
Answer:
(4x^2-3)(x^2-5)
Step-by-step explanation:
We are going to group the first two and last two terms and find the GCF of each set.
4x^4-20x^2-3x^2+15
(4x^4-20x^2)(-3x^2+15)
4x^2(x^2-5)-3(x^2-5)
Then we group the GFCs together and the rest
(4x^2-3)(x^2-5)
One and two step equations
7x-2=-9
Plz asap can y’all explain step by step plzzz it’s for a homework
Answer:
Step 1: Add 2 to both sides.
7x−2+2=−9+2
7x=−7
Step 2: Divide both sides by 7.
7x/7 = -7/7
Answer: x=−1
Answer:
x=-1
Step-by-step explanation:
7x-2=-9 (Given)
7x=-7 (Add 2 on both sides to eliminate he -2 on the left side)
x=-1 (Divide both sides with 7 to eliminate the 7 in 7x)
Answer: x=-1
A crate of egg cartons holds 8 cartons
of eggs. Each carton has a dozen
eggs. How many eggs are in 5 crates?
Answer:
480 eggs
Step-by-step explanation:
Given;
A crate of egg cartons holds 8 cartons of eggs.
Each carton has a dozen eggs.
To Find;
How many eggs are in 5 crates?
Note;
Dozen eggs = 12 egg
Solve;
Thus, Dozen eggs × Carton of eggs × many eggs are in crates
→ 12 × 8 × 5
→ 96 × 5
→ = 480
[RevyBreeze]
if a =-7 and b=-16, What is The value of a-b
Answer:
Step-by-step explanation:
a-b=(-7)-(-16)=-7+16=9
Twice the difference between a number and 10 is equal to 6 times the number 13!
Anyone please help ASAP???!!!
Answer:
2 and 8
Step-by-step explanation:
multiply the denominator to equal the other fraction and do the same for the denominator
9. 4,3,1, -2,...
What is the next number in the pattern
luke rolls a 10-sided solid with equal-sized faces labeled 1 to 10. what is the probability of rolling a 4?
help giving out 10 points to those who help and the right answer!
1 out of 10, or [tex]\frac{1}{10}[/tex]. It is unlikely to occur.
Technology required. Find the missing measurements.
Answer: 40.82
Step-by-step explanation:
Use pythagoras theorem to solve
Root 35 squared + 21 squared = 40.82
in.
What is the perimeter of this tile?
in2
10 in.
8 in.
6 in.
and in exponent 2 or just inch
Answer:
24 inches
Step-by-step explanation:
10+8+6=24
In inches because it is not the area of the figure.
2/3 of a hippos life is spent underwater, the rest of their life out of water is separated into grazing, sleeping and socialising in the ratio 4:7:1. The average life of a hippo is 45 years, how long will it spend doing each of these activities?
Answer:
Under water is 2/3×45= 30yrs
So rest is 1/3
1/3 is divide in 12 parts
1/3÷12=1/36
Grazing is 4/36×45= 5yrs
Sleeping is 7/36×45=8.75yrs
Socialising is 1/36×45=1.25yrs
Below is an image of 64 = 8 What would the image look like to show 100 ?
Answer: 10 rows of 10
Step-by-step explanation: