Kieran, Jermaine and Chris play football.
Kieran has scored 8 more goals than Chris.
Jermaine has scored 5 more goals than Kieran.
Altogether they have scored 72 goals.
How many goals did they each score?
Step-by-step explanation:
Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.
x + (x + 8) + (x + 13) = 72
Now we can rearrange and solve for x.
3x + 21 = 72
3x = 51
x = 17
6. Here is an octagon.
3 in
4 in 3 in
→
3 in
a. While estimating the area of the octagon, Lin
reasoned that it must be less than 100 square
inches. Do you agree? Explain your reasoning.
b. Find the exact area of the octagon. Show your
reasoning.
4 in
3 in
Answer:
a). Yes. Area will be less than 100 square in.
b). Area of octagon = 82 in²
Step-by-step explanation:
From the picture attached,
a). Octagon is inscribed in a square having one side = 10 inches.
Since, octagon is obtained by cutting off the four equal corners of the square,
Area of octagon will be less than the area of the square.
Area of square = (side)²
= 10²
= 100 in²
Therefore, area of octagon will be less than 100 in²
b). Since, corner cut off from the square are equal in shape and area,
Area of one corner (right angle triangle) = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(3)[/tex]
= 4.5 in²
Area of 4 corners = 4.5 × 4 = 18 in²
Area of octagon = Area of square - Area of 4 corners removed
= 100 - 18
= 82 in²
brainly and points! :)
Answer:
[tex]D. k \leq -25[/tex]
Step-by-step explanation:
[tex]2 - \frac{k}{5} \geq 7\\-2\\\frac{-k}{5}^{-5} \geq 5^{-5} \\k \leq -25[/tex]
Answer:
D. k≤ - 25
Please give me brainliest gunna is the best rapper ever he is better than spottem gottem. spottem gottem sucks
Felix bought a new pair of pants for $27.98. If the sales tax is 6%, how much did he spend in total?
Answer:
$29.66
Step-by-step explanation:
6% taxes is 1.68 , 27.98+ 1.68= $29.66
Sales tax:
[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]
[tex]\\ \tt\longmapsto 1.67[/tex]
Total=
27.98+1.67=29.65$The marks of Riju in Mathematics test increased from 20 to 30. What is the percentage of increase?
Step-by-step explanation:
❀[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Initial marks of Riju = 20Final marks of Riju = 30Then, Increment of the marks = 30 - 20 = 10
❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Percentage of increment❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}[/tex]
⇒ [tex] \sf{ \frac{10}{20} \times 100\%}[/tex]
⇒ [tex] \boxed{ \sf{50 \: \%}}[/tex]
[tex] \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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HELP PLS PLS ILL MARK U BRAINLIEST
Answer:
360-(<XYZ + <WYZ)
Step-by-step explanation:
Angles around a point add up to 360°
hope it helps! please mark me brainliest
thank you! have a good day ahead
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HELP ASAP!! omg someone smart answer the question please i dont get it. ill give brainliest if ur right
Answer:
Length 3
Width 3
Height 4
Step-by-step explanation:
Length x Width x Height
3 x 3 x 4 = 36 cm :)
Answer:
Combinations could include:
2, 3, 6
6, 6, 1
3, 3, 4
4, 9, 1
Help me out please and thank you
Answer:
I got B
75+20+85=180
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
Which of the following can change on a daily basis?
a. Climate
b. Weather
c. Both climate and weather
d. Neither climate or weather
Answer:
the correct awnser would be c because both the climate and weather can change daily
Pls help and SHOW WORKINGS....due ASAP
Answer:
(B). 50°
Step-by-step explanation:
(5x + 55)° = (2x + 100)°
5x + 55 = 2x + 100
5x - 2x = 100 - 55
3x = 45
x = 15
5(15) + 55 = 130°
m∠2 = 180° - 130° = 50°
Pls help and show workings please
Answer:
A. AAS(Angle-Angle-Side)
Step-by-step explanation:
From the image, you can already see 1 angle and 1 side measured.
But, angle KLJ and angle MLN are congruent to each other as well because they are vertical angles (angles on opposite sides). And vertical angles are always congruent to each other.
So in total, we have 2 angles and 1 side congruent to each other,
<KLJ and <MLN
<LKJ and <LMN
KJ and MN
From the other (based on the image), they are ordered in a angle angle, side format. So the answer is AAS.
Hope I was able to help! Good Luck!
Please help 10 points
Answer: 14
Step-by-step explanation:
I need help hurry!
Show ur work on 5-10 u don’t have to do all of them. pls show work
Answer:
10
Step-by-step explanation:
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =
TX
XY
TY
Answer:
RT is corresponding to TY
Hence, we conclude that:
RT = TYStep-by-step explanation:
Given
△RST ≅ △TXY
It means the triangles △RST and △TXY are congruent to each other.
We know that congruent triangles have equal corresponding parts.
Please check the attached graph.
From the graph, it is clear that:
RT is corresponding to TY.ST is corresponding to XY.RS is corresponding to TX.We need to determine RT
as
RT is corresponding to TY
i.e. RT = TY
Hence, we conclude that:
RT = TYplease answer this due in 30 mins giving brainlist out
Answer:
2/-2
Step-by-step explanation:
X-axis is first and Y-axis
Answer:
Slope: [tex]m=-\frac{1}{2}[/tex]
y-intercept: [tex](0,-1)[/tex]
Equation: [tex]y=-\frac{1}{2}x-1[/tex]
Step-by-step explanation:
Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](-2, 0)[/tex] and [tex](2,-2)[/tex] as given in the problem, we have slope of this line to be:
[tex]m=\frac{-2-0}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}[/tex].
Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:
[tex]0=-\frac{1}{2}(-2)+b, \\ b=-1[/tex]
Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=-\frac{1}{2}x-1$}[/tex].
The y-intercept occurs when [tex]x=0[/tex]:
[tex]y=-\frac{1}{2}(0)-1, \\\\y=1[/tex]
Thus, the y-intercept is
[tex](0, -1)[/tex]
Add 40c - 6 and -25c -13
If your expression contains square roots, during which step of PEMDAS do you solve them?
Answer:
E
Step-by-step explanation:
"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."
Which of the following expressions is equivalent to the expression 1/9 × 27 ?
Answer:
The answer is 3 :D
pls give brainliest
27*9=3
If these two shapes are similar, what is the measure of the missing length r?
Answer:
r = 68 km
Step-by-step explanation:
56 - 25 = 32
There is a 32 km difference between the two triangle so you would add 32 to 62...
32 + 36 = 68
r = 68 km
3/4x + 3 = 2/5 rewrite without fractions and decimals
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
hope this helps!! good luck!!
A car travels at a constant speed and goes 100 miles in 2.5
ours. How fast is the car travelling in miles per hour?
Answer:
40 miles per hour.
Step-by-step explanation:
100 miles/2.5 hours = 40 miles per hour.
I might be wrong though.
how do i graph the equation y= -4x - 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.
For x=0, ...
y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept
For x=1, ...
y = -4·1 -1 = -5 . . . . the point is (1, -5)
The attached graph shows these points and the line through them.
Please help me
.......................
Answer:
B
Step-by-step explanation:
I used desmos
Is this correct for number 5 if not please help
Answer:
Yes it is! good job
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Write the equation of a line that passes through (2, 4) with a slope of 2.
Answer:
y=2x is it I think because the y intercept is the origin
The length of a rectangle is 1 7/9 in and its width is 3/4 of its length. Find the area of this rectangle.
Answer:
The answer is 4/3 or 1.33 square units.
Step-by-step explanation:
Length = 1 + 7/9 = 16/9 units.
Width = 3/4 units.
Since area of rectangle = Length * Width
Area = 16/9 * 3/4 = 4/3 square units.
Simplify: x + (x-y) + y + (y-x )
Answer:
x + y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
x + (x - y) + y + (y - x)
Step 2: Simplify
Combine like terms (x): x - y + y + yCombine like terms (y): x + y2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
for $7.67 from the grocery store, how much money will Gwen have left in dollars and cents ?
A) $14.00
B) $32.99
C) $20.50
D) $13.35
Answer:
d. $13.35
Step-by-step explanation:
subtract
i am so sorry if this is wrong! hope this helps:)
GUYS I NEED THIS ANSWERED PLEASE ASAP
What is the y intercept of the following equation 3y-5x=-15
It has to look like this
(0,0)
Answer:
(0,-5)
Step-by-step explanation:
This is the y intercept I graphed it
Answer:
(0,-5)
Step-by-step explanation:
3y-5x=-15
Add 5x on both sides
3y=5x-15
Divide each side by 3
y=5/3x-5
y=mx+b
b is the y-intercept
b=-5
Therefore (0,-5) is the answer