Answer:
210 boys
Step-by-step explanation:
the ratio is 7 boys to 5 girls. There are 150 girls at the school. Divide 150 by 5 to get your answer which is 30. We know that we have to divide because the ratio answer is a simplified version of 150, like if we were doing fractions. Then multiply 30 times 7 and you will get 210. So there are 210 boys at the school.
A 330-lb gorilla climbs a tree to a height of 21 ft. Find the work done if the gorilla reaches that height in the following times.
(a)
10 seconds
W =
(b)
W =
5 seconds
Need Help?
ft-lb
ft-lb
Read It
Watch It
According to the solving the work done if the gorilla reaches that height:
= 8400 ft lb.
What is meant by "work done"?The work performed by a force is defined as the sum of the displacement and or the component of both the applied force of both the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move more quickly. W = F stands for "work done."
The purpose of the work?Anytime a force transports something over a distance, work is performed. By multiplying the force by both the distance moved inside this direction of the force, you may determine the amount of energy transferred or work accomplished.
According to the given data:The effort put in by a 350-pound gorilla climbing a 24 foot staircase can be computed as:
(a) t = 10 sec
WF = (350 lb) (24 ft)
= 8400 ft lb (answer)
(b) t = 5 sec
WF = (350 lb) (24 ft)
= 8400 ft lb
work done does not depends on time.
According to the solving the work done if the gorilla reaches that height:
= 8400 ft lb.
To know more about work done visit:
https://brainly.com/question/10334435
#SPJ9
Use the triangle shown on the right to answer the question. Which equation can you use to solve for a?
Answer:
B
Step-by-step explanation:
The equation that can be used to solve for 'a' is a/sin35° = 30/sin60°.
What is a triangle?A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know sine rule of triangles which states,
a/sinA + b/sinB + c/sinC.
We also know that the sum of all the interior angles in a triangle is 180°.
Therefore, The measure of angle B is 180° - (35 + 85)°.
= 60°.
So, The equation can you use to solve for 'a' would-be,
a/sin35° = 30/sin60°.
asin60° = 30sin35°.
(√3/2)a = 30×0.5735.
a = (30×0.5735)/0.866.
a = 17.205/0.866.
a = 19.87.
learn more about the sine rule of triangles here :
https://brainly.com/question/20839703
#SPJ2
round 307,451 to the nearest thousand
Answer: 307,000
Step-by-step explanation: Since 451 is less than 500, you want to round down.
Answer: 307,000
Step-by-step explanation: A number rounded to "the nearest thousand", must be multiple of 1000. In this case the value would be 306,000 or 307,000, or 308,000 or 309,000, depending on which of these our given number is closest (nearest) to. 307,495 is less than 307,500 , which is the value halfway between 307,000 and 308,000.
A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation
must the ladder be positioned in order to reach the top of the wall?
Answer:
7.2
Step-by-step explanation:
Pllzzzzzzz help now it’s due today
Answer:
Step-by-step explanation:
please help I really need it guys
Answer:
45 feet.
Step-by-step explanation:
The Lighthouse is half of the Base.
Jacob and Sarah are saving money to go on a trip. They need at least $1850 in order
to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $15
each time he mows a lawn and Sarah charges $10 each time she walks a dog. The
number of dog walks that Sarah has scheduled is no more than five times the
number of lawns Jacob has scheduled to mow. Sarah will walk at least 65 dogs.
Answer:
[tex]\textsf{Constraint 1}: \quad 15x+10y\geq 1850[/tex]
[tex]\textsf{Constraint 2}: \quad y \leq 5x[/tex]
[tex]\textsf{Constraint 3}: \quad y \geq 65[/tex]
Step-by-step explanation:
Inequality signs:
< Less than.≤ Less than or equal to.> More than.≥ More than or equal to.Given variables:
x = Number of lawns mowed.y = Number of dogs walked.Constraint 1Given information:
$15 = Charge for mowing a lawn.$10 = Charge for walking a dog.$1850 = Minimum amount needed for the trip.Therefore, the amount earned from mowing the lawns and walking dogs should be more than or equal to $1850:
[tex]\boxed{15x+10y\geq 1850}[/tex]
Constraint 2Given information:
The number of dog walks that Sarah has scheduled is no more than 5 times the number of lawns Jacob has scheduled to mow:Therefore, Sarah will walk less than or equal to 5 times the number of lawns mowed:
[tex]\boxed{y \leq 5x}[/tex]
Constraint 3Given information:
Sarah will walk at least 65 dogs.Therefore, Sarah will walk more than or equal to 65 dogs:
[tex]\boxed{y \geq 65}[/tex]
state which theorem you can use to show that the quadrilateral is a parallelogram.
Answer:
Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.
Step-by-step explanation:
POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.
POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.
A quadrilateral has to meet both of these theorems to be a parallelogram.
20 POINTS AND BRAINLIEST IF YOU GET ALL OF THIS RIGHT
Solve for x.
5x - 4 = -3x + 12
x = 2
x = 6
x = -4
Solve for x.
5x - = 4x +
x = 5/9
x = -1/3
x = 5/18
Solve for x.
12x - 17 = 5x + 19
x = 2/7
x = 7/5
x = 36/7
Solve for x.
7x + 17 = 3x + 21
x = 1
x = 3/4
x =4/3
50 Points!
During a particular week, a company wants Angie and Dylan to work at most 60 hours
between them. Write the inequality that shows x, the number of hours Angie works,
and y, the number of hours Dylan works.
Negative ten is no less than two times a number plus fourteen
can you please solve it
Answer:
-12≥x
Step-by-step explanation:
-10≥2x+14
-24≥2x
-12≥x
I WILL GIVE BRAINLIEST I NEED HELP
Answer:
c
Step-by-step explanation:
8 (4 x 2.3)
A 8 x 2.3
B 4 x 2.3
C 8 x 9.2
D 8 x 4
Answer:
8 x 9.2
Step-by-step explanation:
Find the slope of the line that passes through the given points.
(−9, 8) AND (6, -3)
m =
The sum of the measures of the angles of any triangle is 180. In a particular triangle, one angle is 40 greater than the smallest angle, and the third angle is 10 less than three times the smallest angle. Find the measure of the three angles.
Answer:
The smallest angle is 30 degrees, the second angle is 80 degrees and the third angle is 70 degrees
Step-by-step explanation:
let x = the smallest angle
This means that one angle is x+40, and the third angle is 3x-10. This make our equation:
x + 40 + 3x - 10 + x = 180
Combine like terms
5x + 30 = 180
Subtract 30 from both sides
5x = 150
Divide both sides by 5
x = 30
Plugging this in:
3x - 10 =
90 - 10 =
80
And for the other:
x + 40 =
30 + 40 =
70
First year students in rolled at a college were asked whether they play video games. The responses, classified by whether the students were enrolled in the school of sciences the school of arts are shown in the table.
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
We know that f(x) is a positive, decreasing, and concave down function.
Therefore, the order, from least to greatest is:
right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpoint
Which decimal number is equal to
2/4?
Answer:
.5
Step-by-step explanation:
2/4 2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2
1/2= .5
Please help. Have a good day
I also need help with this cuase honestly i'm really bad at math
Answer:
A
Step-by-step explanation:
Angles that form a straight line ( add up to 180 ) are supplementary
angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary
Angles 1 and 7 are congruent angles
so angle 2 = 125
Subtract 125 from 180 = 55
180 - 125 = 55 degrees
A cookie recipe calls for 3 cups of sugar and yields 24 cookies how much sugar will be needed to make 3 dozen cookies
Answer:4.5 cups of sugar
Step-by-step explanation:
Okay so 24 cookies is 2 dozen
1 cup of sugar would be used for every 8 cookies
3 dozen is equal to 36 cookies
36/8=4.5 so you would need 4.5 cups of sugar
In a group there are 10 owners and 20 workers. four workers are chosen what is the probability of choosing four worker sequentially
Answer:
15
Step-by-step explanation:
15
PLEASE HELP WITH BOTH I WILL GIVE BRAINLIST PLEASE THANK YOUUU
-0.9 -1.2 which one is greatest
Answer:
-0.9
Step-by-step explanation:
it is closer to 0
PLZ HELP THANK YOU BRAINLIEST IF CORRECT select all that apply (look at the photo)
What is 4/9 + 10/7
GIVING BRAINLIEST TO FIRST ANSWER
Answer:
14/16
Step-by-step explanation:
Answer:
1.86234q3eq23423we2q34e12342134
Step-by-step explanation:
YOU FIRGURE IT UR SELF U SCAMMED ME
Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).
f(x) = -4x + 7
g(x) = 2x2 + 5x – 8
Answer:
-93
Step-by-step explanation:
Step one:
given the expressions
[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]
we want (fog)(-3).
but (fog) is
[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]
Step two:
fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7
[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]
Solve the system of equations by substitution.
3x - 4y = 13
5x + 4y = 11
The solution of the system is x = and y=
(Type integers or simplified fractions.)
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
Step-by-step explanation:
[tex]3x - 4y = 13[/tex]
[tex]5x + 4y = 11[/tex]
isolate x for 3x-4y=13
[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]
[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
now isolate y for [tex]\frac{65+32y}{3}=11[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
[tex]65+32y=33[/tex]
[tex]32y=-32[/tex]
Divide both sides by 32
[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]
[tex]=\frac{13-4\cdot \:1}{3}[/tex]
[tex]=\frac{9}{3}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]
[tex]=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
1. Find the mean, median, mode, and range of
the following set of data: 1,2,4,6,4,4
Step-by-step explanation:
the median is 4
the mean is 1+2+4+6+4+4/6
21/6=7\2
6.5 the mode is 4
Simplify using the distributive property.
7/6 (30 − 18)
A. 14
B. 35
C. 56
D. I don't know.
The distributive property to simplify the expression 7/6 (30 − 18) is (a) 14
Using the distributive property to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
7/6 (30 − 18)
When the expression is expanded, we have the following
7/6 (30 − 18) = 7/6 * 30 − 7/6 * 18
Evaluate the products
This gives
7/6 (30 − 18) = 35 − 21
Lastly, we have
7/6 (30 − 18) = 14
Hence the expression when simplified is (a) 14
Read more about expression at
brainly.com/question/30492964
#SPJ3