Answer:
0.64
Step-by-step explanation:
1) Subtract 0.7 from 1.34 and you will get 0.64
Hope this helps!
There are 9 boys and 6 girls in a hall, each holding coins in their hand. The mean number of coins for the children is 18 The mean number of coins for the boys is 14 Work out the mean number of coins for the girls.
Answer:
24
Step-by-step explanation:
Average = total number of coins / number of students
If the mean number of coins with boys is 14, the total number of coins held by boys = 14 x 9 = 126
The total number of coins held by the students = total number of children x average number of coins held by the children
15 x 18 = 270
The total number of coins held by girls = 270 - 126 =144
The mean number of coins for the girls = 144 / 6 = 24
If a numser has an even exponent can it ever be negative when it is simplified?
Explain.
Answer: No, it can never be negative.
==================================================
Explanation:
Consider the expression x^2
If x were some negative number, say x = -3, then
x^2 = (-3)^2 = 9 which is a positive result.
Picking any negative number for x will make x^2 positive.
We can think of it like this
(-3)^2 = (-3)*(-3) = 9
The two negatives multiply to a positive.
This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.
Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)
Answer:
x^2 + (y+1)^2 = 16
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-0)^2 + (y+1)^2 = 4^2
x^2 + (y+1)^2 = 16
The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).
Here
The equation of the circle is given by
(x - h)² + (y - k)² = r² - - - - (1)
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²
Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Algebra 2
Please help me solve this.
An investment company pays 7% compounded semiannually. You want to have $24000 in the future. How much should you deposit now to have that amount 5 years from now?
Answer: You should deposit about $17014 or little more
Step-by-step explanation:
use the compound interest formula.
A= p( 1 + r/n)^nt
Where A is the amount you will save over some years .
p is the principal or start up amount mostly known as the initial fee.
r is the interest rate represent by a decimal so 7% will be 0.07.
n is the number of times the interest is being applied annually. Semiannually means twice. So n will be 2.
T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.
24,000 = p( 1 + 0.07/2)^2*5
24,000= p( 1 + 0.035)^10
24000 = p( 1.035)^10
24000 = p( 1.41059876062) Divide both sides by 1.41059876062
p = 17104
Which means you should deposit about $17014 or little more
Which solution set satisfies the inequality y+19>_13
Step-by-step explanation:
y+19>_13
y=-13-19
=-32
Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple
Answer:
3; Sara is driving 30 miles per hour
Step-by-step explanation:
Here in this question, we want to select which of the options represent what a unit rate is.
When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.
Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow
Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred
Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time
Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?
Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
Find the value of x
Answer:
x=35
Step-by-step explanation:
Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees
Solve for d:
df + 5d = h
Answer:
d=hf+5
Step-by-step explanation:
Step 1: Factor out variable d.
d(f+5)=h
Step 2: Divide both sides by f+5.
d(f+5)f+5=hf+5
d=hf+5
Can you please help me with 2,3,4 and 5. Will mark brainliest.
someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)
PLEASE SOMEONE HELP
Answer:
X=22 (Should make the rest of the problem easy to solve)
Step-by-step explanation:
22x2 + 1 = 45
22 + 5 = 27
45 + 27 = 72 (The perimiter)
[tex]\large\text{Hello there! :)}[/tex]
[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]
[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]
[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]
[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]
[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]
Solve for x: −10x+5= -6x-35
Step-by-step explanation:
-10x+5= -6x-35
-10x+6x=-35-5
-4x=-40
x=10
please mark as brainliest
A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?
Answer:
4.5 metresStep-by-step explanation:
If point C is between P and R, then PC+CR = PR.
Given PC = 6x-5
CR = 7 and PR = 29
Required
Find the value of x in metres
Substitute the given values into the formula;
6x-5+7 = 29
6x+2 = 29
subtract 2 from both sides
6x-2+2 = 29-2
6x = 27
Divide both sides by 6
6x/6 = 27/6
x = 27/6
x = 9/2
x = 4.5 metres
Hence the value of x in metres is 4.5metres
if UW=6x-35,find what UW is
Answer:
Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83
Step-by-step explanation:
Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.
A fruit dessert contains rasberries and strawberries in the ratio 1:2. There are 400 g of strawberries in the dessert. a) How many grams of rasberries are there in the dessert? b) How much fruit is there altogether in the dessert?
Answer:
a) 200 g
b) 600 g
Step-by-step explanation:
Given
Raspberry : Strawberry Ratio = 1 : 2 Strawberry = 400 ga) Raspberry = half of strawberry as per ratio
400 g / 2 = 200 gb) Total of fruit
400 g + 200 g = 600 gYou have three consecutive odd integers. Four times the smallest decreased by 5 is the same as the largest increased by 12. What is the smallest of the integers?
Answer:
The smallest of the integers is 7
Step-by-step explanation:
Let the integers be x, y and z
From the question, the integers are consecutive odd integers.
Hence,
If the smallest of the integers is x and the largest is z, then we can write that,
x + 2 = y and
y + 2 = z
Then, x + 2 + 2 = z
∴ x + 4 = z ....... (1)
From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is
4x -5 = z + 12 ....... (2)
Put the value of z = x + 4 in equation (1) into equation (2),
We then get
4x - 5 = x + 4 + 12
4x - x = 4 + 12 + 5
3x = 21
x = 7
Hence, the smallest of the integers is 7
The other integers are 9 and 11 ( y= 9 and z = 11)
6x10-4 in standard notation
Answer:
The Answer is 2(3x^10-2) Hope this helps :)
-by-step explanation:
can you plz help me with this question 2p=74
Answer:
p = 37
Step-by-step explanation:
divide 2 on both sides:
p = 37
Hope this helps!
Answer:
p=37
Step-by-step explanation:
74 ÷ 2 = 37
2×37 = 74
74 = 74
make me brainliest pls
simplify the following expressions ( combine like-terms )
Answer:
x + 2y
Step-by-step explanation:
Step 1: Write expression
-3x + 2y + 5x - x
Step 2: Combine like terms (x)
2x + 2y - x
x + 2y
what 2 numbers have a sum of -10 and a difference of -2?
Answer:
-6 and -4
Step-by-step explanation:
-6 + -4 = -10
-6- - 4 = -2
Drag the tiles to the right places
PLEASE HELPPP FASSTTTTTTTT
I WILL MARK YOU AS THE BRAINLYEST IF I GET IT RIGHT JUST HELPPPPP
Solve for y.
15y - -9y + -10y = 14
y =
Submit
Answer:
I think y=1
Step-by-step explanation:
15y+9y= 24y
24y-10y=14y
divide 14y by 14 and get just y and divide 14 by 14 to get one
y=1
Which number is greater than square root of one hundred fifty five?
Answer:
try 3
Step-by-step explanation:
Give two real-world situations that could be represented by the value 30
Answer:
There are lot of real world situations that could be represented by the value of 30.
Step-by-step explanation:
1- I went to a office for interview they said to me they will give 30$ as a salary per day.
2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.
These are the best examples of real-world situations that could be represented by the value 30
Answer:
here this is so u can give brainliest to him
Step-by-step explanation:
solve for Q
-392 = 28q
Answer:
14
Step-by-step explanation:
-392=28q
-392÷28=14
What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82
Answer: 5, 72
Step-by-step explanation:
Given the following questions :.
The value of 3 minus (negative 2)
3 - (-2) = 3 + 2 = 5
A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)
6 × (-12) = - 72
The product of 6 and negative 12 is -72.
Here, we have,
The value of 3 minus (negative 2) can be calculated as follows:
3 - (-2) = 3 + 2 = 5.
Therefore, the value of 3 minus (negative 2) is 5.
Regarding the number line going from -5 to 5:
-5 -1 1 5
The product of 6 and negative 12 can be calculated as follows:
6 * (-12) = -72.
Therefore, the product of 6 and negative 12 is -72.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ6
Explain their mistake. Will give brainliest
Answer:
a²+b² =c²
10²+z²=13²
z² = 13²-10²
z =square root of (169-100)
this is a right triangle and 13 side is the hypotenuse (the longest side)
Mercedes takes out a loan for $ 10 , 000 at a simple interest rate of 3.5 % to be paid back in 42 monthly installments. What is the amount of the monthly payments?
Answer:
The amount of monthly installments is $267.30
Step-by-step explanation:
Here, we are interested in calculating the amount of the monthly is installments.
To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.
Mathematically,
Simple interest = PRT/100
from the question;
P = principal which is the amount borrowed = $10,000
R = rate = 3.5%
T = time = 42 months = 42/12 = 3.5 years
Substitute these values into the formula for simple interest;
We have ;
S.I = (10,000 * 3.5 * 3.5)/100 = $1,225
So the total amount to
payback = interest + principal = 1225 + 10,000 = 11,225
So the amount of installments will be ;
The amount to payback/number of months
Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month
How can you rewrite square root 2
Answer:
2/6
Step-by-step explanation: