Answer:
slope = (-2 +3) / (12 -3)
= 1/9
1-1 Item 15 The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews totaling 12 grams. a. How many calories do you consume? You consume calories. b. How many cashews are in one serving? There are cashews in one serving.
Answer:
69 calories
Step-by-step explanation:
Given that :
Number of calories in 28 grams = 161
9 cashews = 12 grams
Number of calories consumed :
28 grams = 161 calories
12 grams = x
Cross multiply :
28x = 161 * 12
28x = 1932
x = 69 calories
A turtle can crawl up to 120 feet per hour. What is this speed in inches per minute?
Answer:
It can crawl 24 inches in 1 minute.
Step-by-step explanation:
1. We know 1 ft = 12 in, so 120 ft = 1,440 in.
2. If the turtle can crawl 1440 inches in 1 hour, that's equivalent to crawling 1440 inches in 60 minutes.
3. we can write this as a fraction and then multiply the denominator 60 by itself to find how many inches per minute the turtle can crawl.
4. 1440/60 ×60/60 =24/1
What is the cos x =1.7%2 and x is acute angle
Given :
cos x = 1.7/2 .
Also, x is an acute angle.
To Find :
The value of angle x.
Solution :
cos x = 1.7/2
Applying cos inverse both the sides, we get :
[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]
Calculating the value of [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :
x = 31.79°
Therefore, the acute angle x is 31.79°.
Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
learn more about similar triangle
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for each 24mm of coloured fabric Gordan uses 1.2cm of white fabric. Express the amount of white fabric to coloured fabricas a ratio in its simplest form.
Answer:
2:1 I think heheheheeh
Step-by-step explanation:
lol
The value of y is directly proportional to the value of x. If y =35 when x = 140, what is the value of y when x =70?
Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80
Answer:
.36
Step-by-step explanatio
please help, i’ll give brainly
Answer:
hope it helps
Step-by-step explanation:
1: 4
2:2
3:1
4:3
GIVE ME BRAINIEST!!!!!
thanks!
PLS HELP FAST!!!!!!!!!!!
[tex]\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right][/tex]
-y
-2x + y
- y determinant
__________________________________________________________
[tex]\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right][/tex]
2x
x-3y
- x determinant
__________________________________________________________
[tex]\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right][/tex]
2x -y
x + y
-system determinant
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answer:
16 tiles
Step-by-step explanation:
Divide the length of the wall by the width of one tile.
4 / 1/4 = 4/1 * 4/1 = 16/1 = 16
Answer: 16 tiles
prove that the sum of any 5 consecutive integers is divisible by 5
pls help me asap
The line given by the equation y=x is shifted up 3 units and more steep by a factor of 2. What is
the equation of the new line?
y = 2x - 3
y = 2x- 3
y =1/2x -3
y = 1/2x + 3
I will mark brainliest
In the diagram below
Please help I’ll give brainliest
Find the value of below algebriac expression for x=2,y=-1 and z=2 i. 4x2−3y2+5z24x2−3y2+5z2 ii. 3x3−2x(4yz+5x2)3x3−2x(4yz+5x2) iii. 1−4x(yz+3xy)1−4x(yz+3xy)
Answer:
i. 33
ii. 1488
iii. 65
Step-by-step explanation:
i. 4x² − 3y² + 5z²
Putting the values x=2, y=-1 and z=2
4(2)² − 3(-1)² + 5(2)²
4×4 − 3×(1)² + 5×(4)
(16) - (3×1) + (20)
16 - 3+ 20
36 - 3
33
ii. 3x³ − 2x(4yz+5x²)
Putting the values x=2, y=-1 and z=2
[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]
[3(8)³ − 2×2(-8 + 5×4)]
[3 ×512 - 2×2(-8 +20)]
[1536 - 4(12)]
[1536 - 48]
1488
iii. 1−4x(yz+3xy)
Putting the values x=2, y=-1 and z=2
[1 - 4 × 2((-1)×2 + 3×2×(-1))]
[1- 8(-2 + (-6))]
[1- 8 (-2 -6)]
[1 - 8(-8)]
[1 +64]
65
PLEASE HELP ME!! Given the point (5, -12) and r = 13, find cot0
Answer:
I think it’s 5/-12
Step-by-step explanation:
Not sure but steps below
Need help with this question. I will give Brainliest!
Answer:
See below
Step-by-step explanation:
a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)
b) They are both 4 units away
c) I can't solve
d) I can't solve
how many years old is Earth
Answer:
OLD
Step-by-step explanation:
Answer:
4.543 billion years
Step-by-step explanation:
The inequality below compares two rational numbers. -8/18 > -17/27
Answer:
I have provided it below
Step-by-step explanation:
- 8/18 > - 17/27
- 0.444444 > 0.62963
So this inequality is TRUE
Hope this helps!!
Given the figure above find the value of x and z
Answer:
x = 4, z = 77
Step-by-step explanation:
From the figure attached,
(15x + 43)° = (8x + 71)° [Vertically opposite angles]
15x - 8x = 71 - 43
7x = 28
x = 4
Therefore, (15x + 43)° = (15×4 + 43)°
= 103°
Now, z° + (15x + 43)° = 180° [Linear pair of angles]
z° + 103° = 180°
z° = 180 - 103
z = 77
Therefore, x = 4 and z = 77 is the answer.
There are only red counters and blue counters in a bag. The ratio of red counters to blue counters is 5:4. There are 27 blue counters. How many red counters are there?
Answer:
33.75 red counters
Step-by-step explanation:
Given the ratio of the red counters to blue counters as 5:4. The total ratio will be 5 + 4 = 9
If there are 27 blue counters in the bag, the total amount of counters there will be gotten using the expression;
4/9 * x = 27
x is the total counter in the bag.
4x/9 = 27
4x = 9*27
x = (9*27)/4
x = 60.75
The amount of red counters there will be
red counters = Total - blue counter
red counter = 60.75 - 27
red counter = 33.75 red counters
Explain the differences between a slope of 4 and a slope of 1/3
Answer:
Slope of 4 is way steeper that 1/3 but they are both positive slopes.
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Triangles J K L and M N R are shown.
In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?
KL ≅ NR
∠L ≅ ∠R
∠K ≅ ∠N
JK ≅ MN
Answer:
JK ≅ MN
Step-by-step explanation:
SAS states that any two sides of the angle and the angle itself, if , of two triangles are equal the two triangles are equal.
It is given that ∠J ≅ ∠M and JL ≅ MR i.e an angle and a side are equal. We need one more side to prove that the two triangles are equal.
If we look at the diagram closely we see that the angles J and M are formed by the sides JK & JL and MN& MR.
It is given that JL ≅ MR so we are left with JK ≅ MN
The additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN
Recall:
The SAS Congruence Theorem proves that two triangles are congruent to each other if they have two pairs of congruent sides and a pair of included congruent angles.The image attached below shows ΔJKL and ΔMNR where we are given the following:
∠J ≅ ∠M (one pair of congruent angles).
JL ≅ MR (one pair of congruent sides).
Therefore, the additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN
Learn more about the SAS Congruence Theorem on:
https://brainly.com/question/2644126
How long is the fence around the softball field?
Answer: 456
Step-by-step explanation:
Mrs Wall usually buys 12 pints of milk each week and pays her milkman £3.72. One week she had visitors and ordered an extra 3 pints. How much was her bill?
Answer:
£4.65 is her bill
Step-by-step explanation:
Here, we firstly need to calculate the unit price of a pint
Mathematically, in this case, that will be 3.72/12 = 0.31
ordering 3 extra pints means she would be buying a total 15
The price of this will be;
0.31 * 15 = £4.65
Which two fractions are equal to 2?
A.
11
2
B.
2
4
oc. ? §
D.
2
2
E.
2
Question:
Which two fractions are equal to 2?
A .1/2 B.2/4 C.2/1 D.2/2 E.4/2
Answer:
C.2/1 and E.4/2
Step-by-step explanation:
Required
Determine equivalent of 2
To do this, we simply evaluate each option
A .1/2
[tex]\frac{1}{2} = 0.5[/tex]
B.2/4
[tex]\frac{2}{4} = 0.5[/tex]
C.2/1
[tex]\frac{2}{1} = 2[/tex]
D.2/2
[tex]\frac{2}{2} = 1[/tex]
E.4/2
[tex]\frac{4}{2} = 2[/tex]
From the calculations above:
Options (c) and (e) are equivalent to 2
The sum of the digits of a three-digit number is 12. The tens digit, t, is 2 more than the hundreds digit, h. The units digit, u, is equal to the sum of the tens and hundreds digits. What is the number?
Answer:
so the equation would be
u+t+h=12
lets break it down
we know that t is equal to
h+ 2
and we know that u is equal to
h+t
okay so first we need to focus on finding one of the units then we can find the next ones
so lets find h first,
with the equations we found h is involved in all of them so we can use them in the equation that equals 12 ( ill make it easier for you and make all of the units equal to their equation including h)
u= h+t
h+2=t
t= h+2
h=h
u= h+h+2
so lets put it together
(h+h+2)+(h)+(h+2)=12
4h+4=12
-4 -4
4h=8
/4 /4
h=2
okay now using our other equations lets find t and u
h+2=t
2+2=t
4=t
h+t=u
2+4=u
6=u
now lets check our answers
u+t+h
6+4+2=12
10+2=12
12=12
so now that we know the values lets put them into their places in the number
uth
u=6
t=4
h=2
642 is your number
if you need anymore clarification just ask or help with another problem
Step-by-step explanation:
Determine any data values that are missing from the table, assuming that the data represent a linear function.
Answer:
c. 14
Step-by-step explanation:
Let the missing y value be y2.
If the data represent a linear function, then:
[tex] \frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2} [/tex]
[tex] \frac{4}{1} = \frac{y_2 - 6}{2} [/tex]
[tex] 4 = \frac{y_2 - 6}{2} [/tex]
Multiply both sides by 2
[tex] 4 \times 2 = \frac{y_2 - 6}{2} \times 2 [/tex]
[tex] 8 = y_2 - 6 [/tex]
Add 6 to both sides
[tex] 8 + 6 = y_2 - 6 + 6 [/tex]
[tex] 14 = y_2 [/tex]
The missing value is 14
Mickey and Marianna are 15 miles apart on a bike path when they start biking toward each other. Mickey rides at a constant speed of 4 miles per hour, and Marianna rides at a constant speed of 2 miles per hour. How long does it take until Mickey and Marianna meet?
15 plus 4 times 2Step-by-step explanation:
38
Answer:
2.5 hrs
Step-by-step explanation:
4x2.5=10
2x2.5=5
10+5=15
:)
Javine says, "To multiply by 1000, I just add three zeros." Kian says, "I times by 10, then times by 10 and times by 10 again." Do you agree with Javine and Kian's methods for multiplying by 1000? Explain your thinking.
Answer:
Kian's method is correct.
Step-by-step explanation:
Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.
Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.