Answer: [tex]1.2\ kmph[/tex]
Step-by-step explanation:
Given
Lara jogs [tex]\frac{1}{5}[/tex] km in [tex]\frac{1}{6}[/tex] hours
We know,
[tex]\text{distance=speed}\times \text{time}[/tex]
[tex]\therefore \text{Rate of lara is }=\dfrac{\dfrac{1}{5}}{\dfrac{1}{6}}\\\\\Rightarrow \text{Rate=}\dfrac{6}{5}\\\\\Rightarrow \text{Rate=}1.2\ kmph[/tex]
Find three consecutive even integers such that the square of the first is 80 less than the square of the third. [Only an algebraic solution will be accepted.]
Answer:
First number = 19
Second consecutive = 20
Third consecutive = 21
Step-by-step explanation:
Assume;
First number = x
So,
Second consecutive = x + 1
Third consecutive = x + 1 + 1 = x + 2
So,
(x + 2)² - x² = 80
x² + 2(2)(x) + 2² - x² = 80
x² + 4x + 4 - x² = 80
4x + 4 = 80
4x = 80 - 4
4x = 76
x = 76 / 4
x = 19
First number = x
First number = 19
Second consecutive = x + 1
Second consecutive = 19 + 1
Second consecutive = 20
Third consecutive = x + 2
Third consecutive = 19 + 2
Third consecutive = 21
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza leftover.
Step-by-step explanation:
2 7/12 + 2/3 = 3 1/4
4 - 3 1/4 = 3/4
so 3/4 of 1 pizza is left.
Help!!!!!!!!!!!!!!!
If f(x) = -(24 – 32) – x, find f(-2).
what is the exterior angle theorem
Answer:
Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
Step-by-step explanation:
What is the slope of the line that passes through the points listed in the table?
x | y
4 | 3
7 | 9
A. -2
B. 2
C. 3
D. 6
Answer:
B. 2
Step-by-step explanation:
(4, 3) (7, 9) M = Slope
M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex] Slope formula
[tex]M=\frac{9-3}{7-4}[/tex] Using the slope formula, plot both x and y intercepts
[tex]M=\frac{6}{3}[/tex] Slope needs to be simplified into a whole number
[tex]M=2[/tex]
What is the final amount if 672 is decreased by 12% followed by a further 5% decrease?
Give your answer rounded to 2 DP.
Answer:
561.79
Step-by-step explanation:
672 * (100-12)/100 = 591.36
591.36 * (100-5)/100 = 561.792
Whats the volume help pls
Answer:
36 Cubic Units
Step-by-step explanation:
Volume of a cube: Length x Width x Height
4 x 3 x 3 = 36
PLEASE HELP ASAP!!!
Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.
○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem
12x - 24 + 3x = 1/3x + 4 + 10x plz no link or spam (i will report you)
Answer:
x=6
15x - 24 = 1/3x + 4 + 10x
=
45x - 72 = x + 12 + 30x
=
45x - 72 = 31x + 12
=
45x - 31x = 12 + 72
=
14x = 84
=
x = 6
Find all the missing elements:
B
14
15
70°
A
b
с
Answer:
[tex]B=48.7\\[/tex]
[tex]c=61.3[/tex]
[tex]b=12[/tex]
Step-by-step explanation:
Using sines law for triangles,
[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]
⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]
⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]
⇒ [tex]15.9625=\frac{14}{sinC}[/tex]
⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]
⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]
⇒ [tex]C=61 ~ or ~ 61.30[/tex]
[tex]\frac{b}{Sin B}=15.9625[/tex]
Now sum of angles a Δ is 180°
A+B+C=180°
[tex]70+B+61=180[/tex]
[tex]B=180-131=49~ or ~ 48.7[/tex]
[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]
╔════ ∘◦ ☆ ◦∘ ══════╗
hope it helps..
have a great day!!
╚═════ ∘◦ ❉ ◦∘ ═════╝
Find each measure below.
arc SR=
Answer:
Measure of arc SR = 62°
Step-by-step explanation:
By using the property,
"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."
m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]
m(arc SR) = 2m∠SUR
= 2(31°)
= 62°
Which of these is a two-step equation? Ax + 9 = 21incorrect answer Bx = 11 + 2incorrect answer C2x + 9 = 21incorrect answer Dx/3 = 9
Answer:
2x + 9 = 21
Step-by-step explanation:
Looking at option C;
2x + 9 = 21
Step 1: Subtract 9 from both sides
2x+9 - 9 = 21 - 9
2x = 12
Step 2: divide both sides by 2
2x/2 = 12/2
x = 6
Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps
A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase
#2: Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
yes
Step-by-step explanation:
$60×25%=$15...so the coupon she have worth $15 but she also have $50
so she has an overall of $65 she can use
but she must pay sales tax:$60×6,75%=$4.05
so then the overall money that she must pay for the printer is $60+$4.05=$64.05
so then the difference of her money and the price of the printer is:
$65-$64.05=$0.95
$0.95 is left over
Solve the following equation for x.
Answer:
48
Step-by-step explanation:
jhus cross multiply 12*4=48
Answer:
x = 48
Step-by-step explanation:
x/4 = 12
4x/4 = x = 4(12) = 48
Check answer: 48/4 = 12
I need help with this ASAP!!!!
Answer:
B) 81.96°
Step-by-step explanation:
40.67 - (-41.29)
40.67 + 41.29 = 81.96
Help pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
-3,5 to find it first go over then go up and you have your answer
Answer:
The answer is (5, -3)
Hope this helps!
Mark me brainliest if I'm right :)
I need correct answer please!:)
Answer:
G. Angle NKL is congruent to angle ZWX is the answer
Step-by-step explanation:
Hope it helps you:)
Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
Answer: 118
Step-by-step explanation:
If the simple interest earned on $6000 for 9 years is $2,160. Then what is the interest rate?
Answer:
4 %
Step-by-step explanation:
1 year interest =2160÷9
= £240
Interest rate=240/6000 ×100
=4%
Can somebody please explain to me what tessellation is?
Answer:
A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.
Step-by-step explanation:
the answer? wowisoososksks
Answer:
1/6
Hope that this helps!
Find the solution of the system of equations.
15x -4y = -50
3x - 2y = -16
Answer:
15x - 4y =-50 -----(i)
3x - 2y=-16 --------(ii)
Using Substitution
From (i)
15x=4y-50
x=4y-50/15
Substitute x=4y-50/[15] into eqn (ii)
3x - 2y= -16
3[4y-50]/15 - 2y =-16
Multiply through by 15 to clear the fraction
3(4y - 50) - 30y=-240
12y - 150 -30y=-240
12y-30y=-240+150
-18y = -90
y=90/18
y=5.
Substitute into any eqn of choice to get x
3x - 2y=-16
3x - 2(5)=-16
3x - 10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2.
x= -2
y=5
Whoever sees this first and answers it first get to be marked brainliest and gets 185 points
aaa THIS IS HELPPING JE A LOT TYYaaaaaAnswer:
Step-by-step explanation:
Answer:
yooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Find the slope of the line represented by the table. Show all work
The population of Bengal tigers in a region of India can be modeled by the function P = 450(0.85), where P is the
population and I is the number of years since 2000.
What is the Bengal tiger population in 2000?
and by what percent does the tiger population decrease each year?
Answer:
(a) The population in 2000 is 450
(b) 15% decreases each year
Step-by-step explanation:
Given
[tex]P = 450(0.85)^t[/tex] --- since 2000
[tex]P \to Population[/tex]
[tex]t \to years[/tex]
Solving (a): The population in 2000
First calculate t
[tex]t = 2000 - 2000[/tex] --- years since 200
[tex]t = 0[/tex]
So, we have:
[tex]P = 450(0.85)^t[/tex]
[tex]P = 450 * 0.85^0[/tex]
[tex]P = 450 * 1[/tex]
[tex]P = 450[/tex]
Solving (b): Rate of population decrease
A function that decreases is represented as:
[tex]P(t) = a(1 - r)^t[/tex]
Where
[tex]r \to[/tex] rate of decrement
Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]
[tex]1- r = 0.85[/tex]
Collect like terms
[tex]r = 1 - 0.85[/tex]
[tex]r = 0.15[/tex]
Express as percentage
[tex]r = 15\%[/tex]
Square contains 4cm. find the area of the shape.
Answer:
Step-by-step explanation:
'Area of a square' formula is A = s^2, where s in the length of one side.
Here, with s = 4 cm, A = 16 cm^2
help me out please ill give you 5 star, brainlist
Answer:
H
Step-by-step explanation:
you can see that it's increasing by 50 for each line
4*50=200
'na1 18 43 written in expanded form?
A.
B.
C.
D.
4x3
4+4+4
3x3 x3 x3
4 x 4 x 4
This dot plot shows the number of runs scored by the yellow jackets in their last 12 baseball games
Answer:
Symmetric, If you fold the graph along the median, the point will almost match.
Step-by-step explanation:
The dot plot shows an approximately normal distribution with the peak being approximately in the centre and the tail shared to either sides of the peak. The median seem to reside at the centre of the distribution as well.
The median = 1/2(n+1)th term
n = 12
1/2(13)th term
Median = 6.5 term
Median = (6+6) /2 = 12/2 = 6