Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
Answer:
They got $91 in total
Step-by-step explanation:
I did some trial and error and when I reached 65 dollars for Gavin I realized that Jim would be $29. So 65 - 29 = $39. Btw substitute $ for £
Answer: £91
Step-by-step explanation:
Let x be the amount of money Jim gets
Let x + 39 be the amount of money Gavin gets
Given information
Ratio = 5 : 2 (Gavin to Jim)
Jim = x
Gavin = x + 39
Set up proportion
5 / 2 = (x + 39) / x
Cross multiply to reduce fraction form
5x = 2 (x + 39)
Expand parentheses and apply the distributive property
5x = 2 · x + 2 · 39
5x = 2x + 78
Subtract 2x on both sides
5x - 2x = 2x + 78 - 2x
3x = 78
Divide 3 on both sides
3x / 3 = 78 / 3
x = 26
Find the amount of money they get altogether
Gavin + Jim
=x + 39 + x
=(26) + 39 + (26)
=65 + 26
=[tex]\boxed{91}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
the sum of 3 and a number
Answer:
the number will vary the answer
Step-by-step explanation:
3×1=3
3×2=6
Simplify (3x-1)(x+3)
Answer:
3x 2 +8x−3
Step-by-step explanation:
Answer:
3x^2+8x-3
Step-by-step explanation:
That should be the right answer but don't quote me on it.
3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund
Answer:
The full scholarship fund will be 4000
Step-by-step explanation:
When doing these types of problems I like to do this.
1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)
Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8
500 × 8 = 4000
5x+8=3(x+2) anyone know the answer?
Step-by-step explanation
work out the question in bracket first then separate numericals and variables to make it easier.
Answer:
distribute
5 + 8 = 3 ( + 2 )
expand to
5 + 8 = 3 + 6
subtract 8 from both sides
5 + 8 = 3 + 6
5 + 8 − 8 = 3 + 6 − 8
simplify
5 = 3 − 2
subtract 3 from both sides
5 − 3 = 3 − 2 − 3
simplify
2 = − 2
then divide both sides by 2
2 / 2 = − 2/ 2
= − 2/ 2
answer is
= −1
Step-by-step explanation:
Hope that helps>3
S...
Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39
9514 1404 393
Answer:
A. 32
Step-by-step explanation:
The relationship between segment lengths is ...
WT·WU = WC·WV
14(2x +2) = 12(2x +5)
28x +28 = 24x +60
4x = 32
2x = 16
Then the measure we're after is ...
UT = WT +WU = 14 +(16 +2)
UT = 32
Use the Perfect Square Trinomial and provide the first step to calculating 32^2 without a calculator.
(30 − 2)2
(30 + 2)2
(28 − 4)2
(28 + 4)2
Answer:
64
Step-by-step explanation:
(30+2)2
30*2+2*2
60+4
64
Answer:
B. (30+2)^2
Step-by-step explanation:
(30+2)^2=30^2+2(30)(2)+2^2=900+120+4=1024
32^2=1024. The way to solve without calculator is above.
Hope this helps!
Please mark as brainliest if correct!
5. Tristan wants to build a square garden in his backyard that will cover an area of 75 ft². If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain.
Lets find side
Area=75ft^2[tex]\\ \sf\longmapsto Area=(side)^2[/tex]
[tex]\\ \sf\longmapsto (side)^2=75[/tex]
[tex]\\ \sf\longmapsto side=8.3ft[/tex]
Perimeter
[tex]\\ \sf\longmapsto 4(side)[/tex]
[tex]\\ \sf\longmapsto 4(8.3)[/tex]
[tex]\\ \sf\longmapsto 33.2[/tex]
He has 1.2ft short materialA student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.
Step-by-step explanation:
The student incorrectly performed a rotation of 90° clockwise.
Answer:
C, the student incorrectly preformed a rotation of 90 degrees clockwise.
Step-by-step explanation:
y+5=3/2(x-7) write in y=mx+b form
Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
solve this equation 2(y + 2) = 3(y - 7)
Answer:
[tex]2(y + 2) = 3(y - 7) \\ 2y + 2 \times 2 = 3y - 3 \times 7 \\ 2y + 4 = 3y - 21 \\ y \: terms \: togther \\ 3y - 2y = 4 + 21 \\ y = 25[/tex]
[tex]thank \: you[/tex]
18- 3 (2) = ?
show your work
help pls lol thanks
Answer:
12 is the answer
Step-by-step explanation:
18- 3×2= 18- 6 = 12
Which of the following is equal to 4 and 1 over 2 divided by 2 and 2 over 3?
Answer:
4.91666666667
Step-by-step explanation:
this is what i got
either 9/2 x 8/3 or 9/2 x 3/8
please help me this is for tomorrow and i have to sleep
Answer:
The answer is C
Step-by-step explanation:
The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C
Can I have some help, please?
Answer:
[tex]-3(t+1)(8t-3)[/tex]
Step-by-step explanation:
First, factor both the denominators completely:
[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]
[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]
Now, we can see that the factors of the first denominator are -3 and 8t-3.
The factors of the second denominator are t+1 and 8t-3.
To find the LCD, multiply all of these factors together:
[tex]-3(t+1)(8t-3)[/tex]
Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.
I hope this helps!
Help!!!!!!!!!!!!!!
2x+3=x-7
Answer:
x = - 10Step-by-step explanation:
2x+3=x-7
=> 2x - x = - 7 - 3
=> x = -10 (Ans)
Maggie studied for 2/5 of an
hour. Julie studied for 1/4 of an
hour. How much longer did
Maggie study?
Answer: 3/20
Concept:
When encountering questions that ask for [how much longer A comparing to B], the basic operation would be the value of A subtracted by the value of B.
Solve:
Given information
Maggie study time = 2/5 hours
Julie study time = 1/4 hours
Given expression deducted from the concept
Maggie (study time) - Julie (study time)
Substitute values into the expression
2/5 - 1/4
Find the denominators' Least Common Multiple (LCM)
First five multiples of 5: 5, 10, 15, 20, 25
First five multiples of 4: 4, 8, 12, 16, 20
Since [20] is the first term that appears in both multiples, it would be the LCM of 4 and 5
Convert the fractions to common denominator
2/5 = (2 × 4) / (5 × 4) = 8 / 20
1/4 = (1 × 5) / (4 × 5) = 5 / 20
Simplify by subtraction
=8/20 - 5/20
=(8 - 5) / 20
=[tex]\boxed{\frac{3}{20} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Which of the following is equivalent to the radical expression below when
x20?
VAX 1X+7
A. x 47
B. VAXA + 20%
C. VAMAX
D. X* 20%
Answer:
B in the photo
Step-by-step explanation:
another way to write the problem:
square root is also taking the 1/2 power:
[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]
since they are raised to the same power:
[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]
A store advertises a sale on t-shirts. The advertised price is four t-shirts for $48. Write and solve an equation to find the cost of one t-shirt.
a.) $8
b.) $12
c.) $16
d.) $48
Evaluate: 24 - ( 5 - 3)^ 4
______________
4
24 - (5 - 3)⁴ = 24 - 2⁴ = 24 - 16 = 8
8 : 4 = 2 ← the end solution
Sean burns 8.5 calories per minute when he runs. How many calories does he burn if he
runs for 45 minutes?
Answer:382.5
Step-by-step explanation: 45 x 8.5 = 382.5
John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen
Answer:
if this is it the equation would be L = 8w + 5
A.It has reflectional symmetry with one line of symmetry.
B.It has point symmetry.
C.It has no reflectional symmetry.
D.It has rotational symmetry with an angle of rotation of 180°.
Answer:
Step-by-step explanation:
( A ). It has reflectional symmetry with one line of symmetry.
An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
Which of the following is not a polynomial?
O A. 3x4
O B. x8+2x3 +7
O C. 5x10 - 4x8 + 2
O D. 5- x2 + 7x0
Answer:
C
Step-by-step explanation:
is not a polynomial because it has a negative exponent.
What’s the answer ASAP
Answer:
none
Step-by-step explanation:
38×2=76
43×2=86
45×2=90
On solving equation 3*1/5b+5=50, the value of b will be?
Answer:
Step-by-step explanation:
14 1⁄16
Find the slope and the y-intercept of the line.
Answer:
slope=-1/5
y intercept=8
Hope this helps
Step-by-step explanation:
Answer:
Slope = -1/5
y-intercept: 8
Step-by-step explanation:
The line equation is y = mx + b, where m is the slope and b is the y-intercept.
We see that m is replaced by -1/5 and that b is replaced by 8.
Hope this helps!
Benchmark of 6/10, how do I get this worked out
Answer:
0.60 or 60% is the answer!
Step-by-step explanation:
Hope I helped