Answer:
Emily's investment = $8,000
Step-by-step explanation:
Let Emily's invested amount = x
Let Samira's amount = y
8% of Emily's amount = 8/100 × x = 0.08x
9% of Samira's amount = 9/100 of y = 0.09y
∴ 0.08x + 0.09y = 1720
multiplying through by 100
8x + 9y = 172000 - - - - - (1)
7% of Emily's amount = 0.07x
6% 0f Samira's amount = 0.06y
0.07x + 0.06x = 1280
multiplying through by 100
7x + 6y = 128000 - - - - - - (2)
Next, let us subtract eqn 2 from eqn 1
equation (1) - equation 2
8x + 9y = 172000
-
7x + 6y = 128000
= x + 3y = 44000 - - - - (3)
from eqn (3) x = 44000 - 3y - - - - - (4)
putting this value of x into eqn 1
8x + 9y = 172000
8 (44000 - 3y) + 9y = 172000
352000 - 24y + 9y = 172000
-15y = 172000 - 352000 = -180000
y = 180000 ÷ 15
y = $12,000
finding x using eqn (4)
x = 44000 - 3y
x = 44000 - 3(12000)
x = 44000 - 36000
x = $8,000
∴ Emily's investment = $8,000
what is 98 = u/7
PLz help
Answer:
u=686
Step-by-step explanation:
98=u/7
7*98=7*u/7
u=686
can sombody please answer this.
Answer:
option (3)is correct, take 180 +180=360
Step-by-step explanation:
I DON'T KNOW IF THIS IS CORRECT IM SORRY IF IT'S WRONG!!!!!!
Drag each angle measure to the correct location on the image. Not all angle measures will be used.
Determine the measures of the angles.
35°
70°
75°
100°
105°
110°
Answer:
i believe this is the question you asked added picture of correct answer on graded test
Step-by-step explanation:
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?
Answer:
[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]
HOPE IT HELPS! :)
A rectangular prism has a volume of 160 cubic centimeters and a height of 4 centimeters. What is the area of its base?
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
2 + c = 7
c = 7
c = 9
c - 2 = 7
Answer:
Step-by-step explanation:
c =7
What is the GCF of 20, 10 and 30?
Answer:
10 is the GCF
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?
Write down the value of angle y, giving a reason for your answer
Y=
Other angle given is 67 degrees
Answer:
y would be 67 as well.
Step-by-step explanation:
they are alternate interior angles. hope it helps
In part (a) the missing angle of a triangle is 70 degrees and in part (b) the missing angle is 67 degrees.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
Part(a)
We have a triangle shown in the picture.
The two lengths of a triangle are equal.
The angle opposite to the sides will be equal.
As we know,
The triangle's interior angles add up to 180°.
180 = 55 + 55 + x
x = 180 - 110
x = 70 degrees
In part (b)
There are two parallel lines shown in the picture.
The angle y will be the same as 67 degrees because two parallel lines are cut by a transversal line.
Thus, in the part (a) the missing angle of a triangle is 70 degrees and in part (b) the missing angle is 67 degrees.
Learn more about the triangle here:
brainly.com/question/25813512
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Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.
Answer:
x = 7.4
Step-by-step explanation:
cos(42°) = x/10 or distance from bases / rope length
Using the calculator find the value of cos(42°):
cos(42°) = 0.74 = x/10
Find x using the value of cos(42°):
x/10 = 0.74
x = 7.4
20.8 = 4( z+1.1)
What is Z ?
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
the distance between the park is 1.7 meters how many meters is this?
Answer:
1.7 meters?
Step-by-step explanation:
Which equation can be used to solve for x in the following diagram?
7xº
11x°
Answer:
7x° + 11x° = 90°
(Required equation)
Step-by-step explanation:
7x° + 11x° = 90°
(complementary angles)
18x° = 90°
18x = 90
x = 90/18
x = 5
If yz = 0.7, what is the measure of α to the nearest degree?
Answer:
.9
Step-by-step explanation:
What would number 35 and 36 Be?
Answer:
35 c 36 d
Step-by-step explanation:
Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)
Answer:
Step-by-step explanation:
a^2+b^2=c^2
17^2+7.6^2=c^2
[tex]\sqrt{17^2+7.6^2}[/tex]=c
c=18.6214
corrected to 1dp= 18.6 m
Please Help Me, I will give the person who answers the best brainliest.
What is the equation of a line that contains the points (5, 0) and (5, −2)?
x = 5
x = 0
y = 0
y = 5
Rodger has 22 coins, all quarters and nickels. The total value of the coins is $2.70. How many of each type of coin does he have?
Answer:
3 quarters and 19 nickles
Step-by-step explanation:
.
Sumita is following this recipe to make flapjacks.
Sumita uses 25 g of sultanas.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
250 g margarine
175 g sugar
125 mL syrup
250 g oats
50 g sultanas
Answer:
7......do you need explanation?
Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big enough to fill a movie screen! What must be true about the measure of each of the interior angles for these two triangles? Does the size of a triangle influence its angle measures? What about other polygons?
Answer:
Step-by-step explanation:
First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.
Second Question: No the size does not influence the size of the interior angle.
Third Question: That's true for all polygons. Size is not affect the interior angle size.
if a function is y = x - 8 , then what is the value of the function when x = 10
Answer:
2
Step-by-step explanation:
What is the length of line segment HJ?
Answer:
b = 5√3 (units)
Step-by-step explanation:
To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.
In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.
a^2+b^2 = c^2 (pythagorean therorm)
5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)
25+b^2 = 100 (square the numbers)
b^2 = 75 (subtract 25 from both sides)
b = √75
b = √25 * √3 (factor out√75)
b = 5 * √3 (find square root of√25)
b = 5√3
Hope I was able to help! Good Luck!
y= -3x + 1 and y= x - 3
Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
Help neeed help please
reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
[tex](x,y)\to (y,x)[/tex]
It represents reflection across the line y=x.
In option 2,
[tex](x,y)\to (x,-y)[/tex]
It represents reflection across the x-axis.
In option 3,
[tex](x,y)\to (4x,4y)[/tex]
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
[tex](x,y)\to (x+2,y-5)[/tex]
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.
If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?
A The product of R and Q is always an irrational number.
B The product of P and S is always a rational number.
C The sum of R and Q is always an irrational number.
D The sum of P and Q is always a rational number.
Answer: B. The product of P and S is always a rational number.
Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.
Alexis wrote 28 - 8 = 20. Then she
wrote 28 -8 + 9 = 20 – 9. Are her
equations balanced? Explain.
Answer:
no this is because 28-8+9=29 and 20-9=11
Step-by-step explanation:
Answer:
Her equation is not balanced.
Because 28 - 8 + 9 = 20 - 9
29 = 11 ( its not balanced)
She put the same symbol or sign on both side.Here she put different sign on both side .so this equation is not balanced.
Step-by-step explanation:
For which of the equations below is x = 2 a solution?
A 2 + x = 2
B x - 7 = 5
C 3x = 6
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A= x=0
B= x=12
C= x=2
Please solve these geometry questions.
Answer: I don't know how to do the first question but I think I did the 2nd question correctly I believe we learned this in 7th grade. I am a freshman so if it is wrong I am sorry anyways the answers for #2 are
A: 34 for JK
B: 15 for MN
and C: 30 for JL
Perimeter: is 79.
This was fun to do lol ik it wasn't much but better than nothing.
Step-by-step explanation:
Given : A toy car is placed on the floor. Its movement details are given
Answer:
Given : A toy car is placed on the floor. Its movement details are given
To find : Distance covered by Car & graph to be plotted
Solution:
Start from rest
u = 0 at t = 0
Constant acceleration for 3 sec reaching velocity 4 m/s
V = U +at
=> 4 = 0 + a(3)
=>a = 4/3 m/s²
Distance here S = ut + (1/2)at²
S = 0 + (1/2)(4/3)3²
=> S = 6 m
deceleration of 0.5 m/s² for 4 sec
=> v = 4 - (0.5)4
=> v = 2 m/s
Distance here = 4(4) - (1/2) (0.5)4²
= 16 - 4
= 12 m
Total Distance = 6 + 12 = 18 m
Total Distance traveled by toy Car = 18 m
Graph attached
Learn more:
Figure given below shows the graph of velocity v ofparticle moving ...
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The graph represents Jason's speed on a recent trip. For which time ...
Step-by-step explanation: